TSTP Solution File: GRP352-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP352-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:36:37 EDT 2022
% Result : Unsatisfiable 0.72s 1.20s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP352-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 01:00:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.20 *** allocated 10000 integers for termspace/termends
% 0.72/1.20 *** allocated 10000 integers for clauses
% 0.72/1.20 *** allocated 10000 integers for justifications
% 0.72/1.20 Bliksem 1.12
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 Automatic Strategy Selection
% 0.72/1.20
% 0.72/1.20 Clauses:
% 0.72/1.20 [
% 0.72/1.20 [ =( multiply( identity, X ), X ) ],
% 0.72/1.20 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.72/1.20 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.72/1.20 ],
% 0.72/1.20 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.72/1.20 'sk_c7' ), 'sk_c5' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.72/1.20 'sk_c6' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.72/1.20 'sk_c7' ), 'sk_c5' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 0.72/1.20 'sk_c6' ) ],
% 0.72/1.20 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 0.72/1.20 'sk_c5' ) ],
% 0.72/1.20 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 0.72/1.20 ,
% 0.72/1.20 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 0.72/1.20 'sk_c7' ) ],
% 0.72/1.20 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 0.72/1.20 'sk_c7' ) ],
% 0.72/1.20 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ]
% 0.72/1.20 ,
% 0.72/1.20 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c6',
% 0.72/1.20 'sk_c7' ), 'sk_c5' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c4',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ],
% 0.72/1.20 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c4' ),
% 0.72/1.20 'sk_c6' ) ],
% 0.72/1.20 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 0.72/1.20 'sk_c5' ) ],
% 0.72/1.20 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 0.72/1.20 ,
% 0.72/1.20 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 0.72/1.20 'sk_c7' ) ],
% 0.72/1.20 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 0.72/1.20 'sk_c7' ) ],
% 0.72/1.20 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ]
% 0.72/1.20 ,
% 0.72/1.20 [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =( multiply( X,
% 0.72/1.20 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply(
% 0.72/1.20 Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =(
% 0.72/1.20 multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7' )
% 0.72/1.20 ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T, 'sk_c6'
% 0.72/1.20 ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ]
% 0.72/1.20 ] .
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 percentage equality = 1.000000, percentage horn = 0.137931
% 0.72/1.20 This is a pure equality problem
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 Options Used:
% 0.72/1.20
% 0.72/1.20 useres = 1
% 0.72/1.20 useparamod = 1
% 0.72/1.20 useeqrefl = 1
% 0.72/1.20 useeqfact = 1
% 0.72/1.20 usefactor = 1
% 0.72/1.20 usesimpsplitting = 0
% 0.72/1.20 usesimpdemod = 5
% 0.72/1.20 usesimpres = 3
% 0.72/1.20
% 0.72/1.20 resimpinuse = 1000
% 0.72/1.20 resimpclauses = 20000
% 0.72/1.20 substype = eqrewr
% 0.72/1.20 backwardsubs = 1
% 0.72/1.20 selectoldest = 5
% 0.72/1.20
% 0.72/1.20 litorderings [0] = split
% 0.72/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.20
% 0.72/1.20 termordering = kbo
% 0.72/1.20
% 0.72/1.20 litapriori = 0
% 0.72/1.20 termapriori = 1
% 0.72/1.20 litaposteriori = 0
% 0.72/1.20 termaposteriori = 0
% 0.72/1.20 demodaposteriori = 0
% 0.72/1.20 ordereqreflfact = 0
% 0.72/1.20
% 0.72/1.20 litselect = negord
% 0.72/1.20
% 0.72/1.20 maxweight = 15
% 0.72/1.20 maxdepth = 30000
% 0.72/1.20 maxlength = 115
% 0.72/1.20 maxnrvars = 195
% 0.72/1.20 excuselevel = 1
% 0.72/1.20 increasemaxweight = 1
% 0.72/1.20
% 0.72/1.20 maxselected = 10000000
% 0.72/1.20 maxnrclauses = 10000000
% 0.72/1.20
% 0.72/1.20 showgenerated = 0
% 0.72/1.20 showkept = 0
% 0.72/1.20 showselected = 0
% 0.72/1.20 showdeleted = 0
% 0.72/1.20 showresimp = 1
% 0.72/1.20 showstatus = 2000
% 0.72/1.20
% 0.72/1.20 prologoutput = 1
% 0.72/1.20 nrgoals = 5000000
% 0.72/1.20 totalproof = 1
% 0.72/1.20
% 0.72/1.20 Symbols occurring in the translation:
% 0.72/1.20
% 0.72/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.20 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.72/1.20 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.72/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.20 identity [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.72/1.20 multiply [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.20 inverse [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.20 'sk_c6' [45, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.72/1.20 'sk_c5' [46, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.72/1.20 'sk_c7' [47, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.72/1.20 'sk_c3' [48, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.20 'sk_c4' [49, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.72/1.20 'sk_c1' [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.20 'sk_c2' [51, 0] (w:1, o:9, a:1, s:1, b:0).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 Starting Search:
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 Bliksems!, er is een bewijs:
% 0.72/1.20 % SZS status Unsatisfiable
% 0.72/1.20 % SZS output start Refutation
% 0.72/1.20
% 0.72/1.20 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.72/1.20 , Z ) ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 3, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 4, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 5, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 6, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 7, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 10, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.72/1.20 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 18, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 19, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 21, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 22, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 23, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.72/1.20 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 24, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 27, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 0.72/1.20 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 28, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 0.72/1.20 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.72/1.20 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 0.72/1.20 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 0.72/1.20 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 0.72/1.20 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 31, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 0.72/1.20 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.72/1.20 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 0.72/1.20 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 0.72/1.20 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y
% 0.72/1.20 , 'sk_c6' ), 'sk_c7' ) ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 38, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.72/1.20 , identity ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 39, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.72/1.20 identity ) ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 40, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.72/1.20 ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 57, [ =( multiply( 'sk_c7', 'sk_c3' ), identity ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c5' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 64, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 74, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 87, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 88, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.72/1.20 multiply( Y, X ) ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 131, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 196, [ =( inverse( identity ), identity ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 199, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 200, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.72/1.20 ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 229, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 253, [ =( multiply( inverse( 'sk_c7' ), X ), multiply( 'sk_c1', X )
% 0.72/1.20 ), =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 260, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 292, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 295, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity,
% 0.72/1.20 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 300, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 0.72/1.20 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 310, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 312, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 313, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 314, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 316, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 320, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 321, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 325, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c7' ),
% 0.72/1.20 'sk_c3' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 327, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' ),
% 0.72/1.20 'sk_c3' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 329, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 331, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 332, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 0.72/1.20 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 334, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c4' ),
% 0.72/1.20 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 336, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c6' ),
% 0.72/1.20 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 340, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 346, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 347, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 348, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c6', 'sk_c5' ), ~(
% 0.72/1.20 =( 'sk_c7', 'sk_c6' ) ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 349, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 0.72/1.20 'sk_c3', 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 350, [ =( multiply( X, 'sk_c6' ), X ), ~( =( 'sk_c7', 'sk_c6' ) ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 352, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( multiply( 'sk_c6', X ), X ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 354, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c1', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 361, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ), =(
% 0.72/1.20 'sk_c6', 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 362, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c2', 'sk_c5' ), =(
% 0.72/1.20 'sk_c6', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 363, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ), =(
% 0.72/1.20 'sk_c5', 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 368, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 395, [ =( multiply( X, 'sk_c6' ), X ), =( identity, 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 396, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 397, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( identity, 'sk_c7' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 400, [ =( 'sk_c3', 'sk_c7' ), =( identity, 'sk_c6' ), =( 'sk_c7',
% 0.72/1.20 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 402, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( inverse( 'sk_c7' ),
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 407, [ =( 'sk_c7', 'sk_c5' ), =( inverse( 'sk_c6' ), 'sk_c6' ), =(
% 0.72/1.20 'sk_c3', 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 413, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 415, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c1', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 419, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 421, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( 'sk_c7',
% 0.72/1.20 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 423, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ), =(
% 0.72/1.20 inverse( 'sk_c6' ), 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 426, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 431, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c3', 'sk_c7' ), =( 'sk_c6',
% 0.72/1.20 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 432, [ =( 'sk_c6', 'sk_c5' ), =( identity, 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 433, [ =( inverse( 'sk_c5' ), 'sk_c4' ), =( 'sk_c7', 'sk_c5' ), =(
% 0.72/1.20 identity, 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 434, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( identity, 'sk_c7' ) ]
% 0.72/1.20 )
% 0.72/1.20 .
% 0.72/1.20 clause( 435, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 436, [ =( multiply( X, 'sk_c7' ), X ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 437, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c7', X ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 454, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 460, [ =( multiply( X, 'sk_c7' ), X ), =( inverse( 'sk_c5' ),
% 0.72/1.20 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 462, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( 'sk_c3', 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 463, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( multiply( 'sk_c7', X )
% 0.72/1.20 , X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 468, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( 'sk_c7', 'sk_c6' ), =(
% 0.72/1.20 'sk_c1', 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 469, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( 'sk_c7', 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 470, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 483, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 0.72/1.20 'sk_c5' ), 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 489, [ =( 'sk_c7', 'sk_c5' ), =( identity, 'sk_c7' ), =( 'sk_c5',
% 0.72/1.20 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 497, [ =( 'sk_c3', 'sk_c7' ), =( 'sk_c7', 'sk_c5' ), =( 'sk_c5',
% 0.72/1.20 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 533, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 545, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c3', 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 564, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c7', 'sk_c6' ), =( 'sk_c1',
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 568, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c7', 'sk_c6' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 582, [ =( 'sk_c6', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 583, [ =( inverse( 'sk_c5' ), 'sk_c4' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 620, [ =( 'sk_c5', 'sk_c4' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 645, [ =( 'sk_c5', 'sk_c4' ), =( identity, 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 653, [ =( 'sk_c7', 'sk_c5' ), =( identity, 'sk_c7' ), =( 'sk_c7',
% 0.72/1.20 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 654, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c3', 'sk_c7' ), =( 'sk_c7',
% 0.72/1.20 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 659, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c3', 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 661, [ =( 'sk_c7', 'sk_c5' ), =( identity, 'sk_c7' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 665, [ =( multiply( X, 'sk_c7' ), X ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 666, [ =( 'sk_c7', 'sk_c5' ), =( multiply( 'sk_c7', X ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 682, [ =( 'sk_c1', 'sk_c7' ), =( 'sk_c7', 'sk_c5' ), =( 'sk_c7',
% 0.72/1.20 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 685, [ =( 'sk_c7', 'sk_c4' ), =( 'sk_c7', 'sk_c5' ), =( 'sk_c7',
% 0.72/1.20 'sk_c4' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 690, [ =( 'sk_c7', 'sk_c4' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 692, [ =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 693, [ =( identity, 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 716, [ =( multiply( X, 'sk_c5' ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 717, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 718, [ =( multiply( 'sk_c5', X ), X ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 719, [ ~( =( X, 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~(
% 0.72/1.20 =( inverse( Y ), 'sk_c5' ) ), ~( =( Y, 'sk_c5' ) ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 720, [ ~( =( X, 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 0.72/1.20 .
% 0.72/1.20 clause( 721, [] )
% 0.72/1.20 .
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 % SZS output end Refutation
% 0.72/1.20 found a proof!
% 0.72/1.20
% 0.72/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.20
% 0.72/1.20 initialclauses(
% 0.72/1.20 [ clause( 723, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.20 , clause( 724, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.20 , clause( 725, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.72/1.20 Y, Z ) ) ) ] )
% 0.72/1.20 , clause( 726, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 , clause( 727, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 728, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 729, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 730, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 , clause( 731, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 , clause( 732, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 733, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 734, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 735, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 , clause( 736, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.72/1.20 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 , clause( 737, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 , clause( 738, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 739, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 740, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.72/1.20 'sk_c6' ) ] )
% 0.72/1.20 , clause( 741, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 , clause( 742, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 743, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 744, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 745, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 , clause( 746, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.72/1.20 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 , clause( 747, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 , clause( 748, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 749, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 750, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 0.72/1.20 'sk_c6' ) ] )
% 0.72/1.20 , clause( 751, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 0.72/1.20 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.72/1.20 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 0.72/1.20 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 0.72/1.20 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 0.72/1.20 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 0.72/1.20 ] ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.20 , clause( 723, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.20 , clause( 724, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 eqswap(
% 0.72/1.20 clause( 757, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.20 ), Z ) ) ] )
% 0.72/1.20 , clause( 725, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.72/1.20 Y, Z ) ) ) ] )
% 0.72/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.72/1.20 , Z ) ) ] )
% 0.72/1.20 , clause( 757, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.72/1.20 , Y ), Z ) ) ] )
% 0.72/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 3, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 , clause( 726, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 4, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 727, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 5, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 728, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 6, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 729, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 7, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 , clause( 730, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 , clause( 731, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 732, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.20 'sk_c3' ), 'sk_c7' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 10, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 733, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 734, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.20 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 , clause( 735, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.20 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 , clause( 737, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.72/1.20 'sk_c7' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 738, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 0.72/1.20
% 0.72/1.20
% 0.72/1.20 subsumption(
% 0.72/1.20 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , clause( 739, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.72/1.20 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.20 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 6.09/6.53 'sk_c6' ) ] )
% 6.09/6.53 , clause( 740, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 6.09/6.53 'sk_c6' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 18, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.09/6.53 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.09/6.53 , clause( 741, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.09/6.53 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 19, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.09/6.53 'sk_c3' ), 'sk_c7' ) ] )
% 6.09/6.53 , clause( 742, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.09/6.53 'sk_c3' ), 'sk_c7' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 21, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.09/6.53 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.53 , clause( 744, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.09/6.53 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 22, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.09/6.53 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.53 , clause( 745, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.09/6.53 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 23, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 6.09/6.53 'sk_c7' ), 'sk_c5' ) ] )
% 6.09/6.53 , clause( 746, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 6.09/6.53 'sk_c7' ), 'sk_c5' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 24, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 6.09/6.53 'sk_c7' ) ] )
% 6.09/6.53 , clause( 747, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 6.09/6.53 'sk_c7' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 6.09/6.53 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.53 , clause( 749, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 6.09/6.53 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 27, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 6.09/6.53 'sk_c6' ) ] )
% 6.09/6.53 , clause( 750, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 6.09/6.53 'sk_c6' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 28, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 6.09/6.53 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 6.09/6.53 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 6.09/6.53 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 6.09/6.53 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 6.09/6.53 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 6.09/6.53 , clause( 751, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 6.09/6.53 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 6.09/6.53 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 6.09/6.53 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 6.09/6.53 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 6.09/6.53 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.09/6.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 6.09/6.53 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ), ==>( 9,
% 6.09/6.53 9 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 factor(
% 6.09/6.53 clause( 6200, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 6.09/6.53 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 6.09/6.53 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 6.09/6.53 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 6.09/6.53 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y
% 6.09/6.53 , 'sk_c6' ), 'sk_c7' ) ) ] )
% 6.09/6.53 , clause( 28, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 6.09/6.53 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 6.09/6.53 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 6.09/6.53 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 6.09/6.53 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 6.09/6.53 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 6.09/6.53 , 4, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 31, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 6.09/6.53 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 6.09/6.53 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 6.09/6.53 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 6.09/6.53 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y
% 6.09/6.53 , 'sk_c6' ), 'sk_c7' ) ) ] )
% 6.09/6.53 , clause( 6200, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 6.09/6.53 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 6.09/6.53 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 6.09/6.53 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 6.09/6.53 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y
% 6.09/6.53 , 'sk_c6' ), 'sk_c7' ) ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.09/6.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 6.09/6.53 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8631, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.09/6.53 Y, Z ) ) ) ] )
% 6.09/6.53 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.09/6.53 ), Z ) ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8634, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 6.09/6.53 ), identity ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, clause( 8631, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.09/6.53 multiply( Y, Z ) ) ) ] )
% 6.09/6.53 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 6.09/6.53 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 38, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 6.09/6.53 , identity ) ] )
% 6.09/6.53 , clause( 8634, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 6.09/6.53 Y ), identity ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.09/6.53 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8640, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.09/6.53 Y, Z ) ) ) ] )
% 6.09/6.53 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.09/6.53 ), Z ) ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8645, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 6.09/6.53 , identity ) ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, clause( 8640, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.09/6.53 multiply( Y, Z ) ) ) ] )
% 6.09/6.53 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 6.09/6.53 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 39, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 6.09/6.53 identity ) ) ] )
% 6.09/6.53 , clause( 8645, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 6.09/6.53 X, identity ) ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.09/6.53 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8650, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.09/6.53 Y, Z ) ) ) ] )
% 6.09/6.53 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.09/6.53 ), Z ) ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8655, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 6.09/6.53 ) ] )
% 6.09/6.53 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 6.09/6.53 , 0, clause( 8650, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.09/6.53 multiply( Y, Z ) ) ) ] )
% 6.09/6.53 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 6.09/6.53 :=( Y, identity ), :=( Z, Y )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 40, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 6.09/6.53 ] )
% 6.09/6.53 , clause( 8655, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 6.09/6.53 ) ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.09/6.53 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8660, [ =( 'sk_c7', multiply( 'sk_c6', 'sk_c5' ) ), =( inverse(
% 6.09/6.53 'sk_c3' ), 'sk_c7' ) ] )
% 6.09/6.53 , clause( 4, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 6.09/6.53 'sk_c3' ), 'sk_c7' ) ] )
% 6.09/6.53 , 0, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8663, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8664, [ =( identity, multiply( 'sk_c7', 'sk_c3' ) ), =( 'sk_c7',
% 6.09/6.53 multiply( 'sk_c6', 'sk_c5' ) ) ] )
% 6.09/6.53 , clause( 8660, [ =( 'sk_c7', multiply( 'sk_c6', 'sk_c5' ) ), =( inverse(
% 6.09/6.53 'sk_c3' ), 'sk_c7' ) ] )
% 6.09/6.53 , 1, clause( 8663, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.09/6.53 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8666, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( identity,
% 6.09/6.53 multiply( 'sk_c7', 'sk_c3' ) ) ] )
% 6.09/6.53 , clause( 8664, [ =( identity, multiply( 'sk_c7', 'sk_c3' ) ), =( 'sk_c7',
% 6.09/6.53 multiply( 'sk_c6', 'sk_c5' ) ) ] )
% 6.09/6.53 , 1, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8667, [ =( multiply( 'sk_c7', 'sk_c3' ), identity ), =( multiply(
% 6.09/6.53 'sk_c6', 'sk_c5' ), 'sk_c7' ) ] )
% 6.09/6.53 , clause( 8666, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( identity,
% 6.09/6.53 multiply( 'sk_c7', 'sk_c3' ) ) ] )
% 6.09/6.53 , 1, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 57, [ =( multiply( 'sk_c7', 'sk_c3' ), identity ), =( multiply(
% 6.09/6.53 'sk_c6', 'sk_c5' ), 'sk_c7' ) ] )
% 6.09/6.53 , clause( 8667, [ =( multiply( 'sk_c7', 'sk_c3' ), identity ), =( multiply(
% 6.09/6.53 'sk_c6', 'sk_c5' ), 'sk_c7' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8669, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( inverse(
% 6.09/6.53 'sk_c2' ), 'sk_c6' ) ] )
% 6.09/6.53 , clause( 23, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 6.09/6.53 'sk_c7' ), 'sk_c5' ) ] )
% 6.09/6.53 , 1, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8671, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8672, [ =( identity, multiply( 'sk_c6', 'sk_c2' ) ), =( 'sk_c5',
% 6.09/6.53 multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.09/6.53 , clause( 8669, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( inverse(
% 6.09/6.53 'sk_c2' ), 'sk_c6' ) ] )
% 6.09/6.53 , 1, clause( 8671, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.09/6.53 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8674, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 6.09/6.53 multiply( 'sk_c6', 'sk_c2' ) ) ] )
% 6.09/6.53 , clause( 8672, [ =( identity, multiply( 'sk_c6', 'sk_c2' ) ), =( 'sk_c5',
% 6.09/6.53 multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.09/6.53 , 1, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8675, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 6.09/6.53 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.09/6.53 , clause( 8674, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 6.09/6.53 multiply( 'sk_c6', 'sk_c2' ) ) ] )
% 6.09/6.53 , 1, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 64, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 6.09/6.53 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.09/6.53 , clause( 8675, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 6.09/6.53 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8677, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 6.09/6.53 'sk_c1' ), 'sk_c7' ) ] )
% 6.09/6.53 , clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 6.09/6.53 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.53 , 1, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8679, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8680, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c7',
% 6.09/6.53 multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.09/6.53 , clause( 8677, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 6.09/6.53 'sk_c1' ), 'sk_c7' ) ] )
% 6.09/6.53 , 1, clause( 8679, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.09/6.53 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8682, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.09/6.53 multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 6.09/6.53 , clause( 8680, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c7',
% 6.09/6.53 multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.09/6.53 , 1, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8683, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 6.09/6.53 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.53 , clause( 8682, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.09/6.53 multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 6.09/6.53 , 1, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 74, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 6.09/6.53 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.53 , clause( 8683, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 6.09/6.53 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8685, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 6.09/6.53 ) ] )
% 6.09/6.53 , clause( 40, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 6.09/6.53 ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8688, [ =( multiply( inverse( identity ), X ), multiply( identity,
% 6.09/6.53 X ) ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, clause( 8685, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 6.09/6.53 , Y ) ) ] )
% 6.09/6.53 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 6.09/6.53 inverse( identity ) ), :=( Y, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8689, [ =( multiply( inverse( identity ), X ), X ) ] )
% 6.09/6.53 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 6.09/6.53 , 0, clause( 8688, [ =( multiply( inverse( identity ), X ), multiply(
% 6.09/6.53 identity, X ) ) ] )
% 6.09/6.53 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 87, [ =( multiply( inverse( identity ), X ), X ) ] )
% 6.09/6.53 , clause( 8689, [ =( multiply( inverse( identity ), X ), X ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8692, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.09/6.53 Y, Z ) ) ) ] )
% 6.09/6.53 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.09/6.53 ), Z ) ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8697, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 6.09/6.53 multiply( X, Y ) ) ] )
% 6.09/6.53 , clause( 87, [ =( multiply( inverse( identity ), X ), X ) ] )
% 6.09/6.53 , 0, clause( 8692, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.09/6.53 multiply( Y, Z ) ) ) ] )
% 6.09/6.53 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 6.09/6.53 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 88, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 6.09/6.53 multiply( Y, X ) ) ] )
% 6.09/6.53 , clause( 8697, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 6.09/6.53 multiply( X, Y ) ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.09/6.53 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8703, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 6.09/6.53 identity ) ), Y ) ) ] )
% 6.09/6.53 , clause( 88, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 6.09/6.53 multiply( Y, X ) ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8706, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 6.09/6.53 identity, X ) ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, clause( 8703, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 6.09/6.53 identity ) ), Y ) ) ] )
% 6.09/6.53 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 6.09/6.53 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8707, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 6.09/6.53 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 6.09/6.53 , 0, clause( 8706, [ =( multiply( inverse( inverse( identity ) ), X ),
% 6.09/6.53 multiply( identity, X ) ) ] )
% 6.09/6.53 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 131, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 6.09/6.53 , clause( 8707, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 6.09/6.53 )
% 6.09/6.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8709, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 6.09/6.53 , clause( 131, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8711, [ =( inverse( identity ), identity ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, clause( 8709, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 6.09/6.53 ] )
% 6.09/6.53 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 6.09/6.53 , [ :=( X, inverse( identity ) )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 196, [ =( inverse( identity ), identity ) ] )
% 6.09/6.53 , clause( 8711, [ =( inverse( identity ), identity ) ] )
% 6.09/6.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8714, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 6.09/6.53 Y ) ), Y ) ) ] )
% 6.09/6.53 , clause( 39, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 6.09/6.53 , identity ) ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8717, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 6.09/6.53 identity, X ) ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, clause( 8714, [ =( multiply( X, identity ), multiply( multiply( X,
% 6.09/6.53 inverse( Y ) ), Y ) ) ] )
% 6.09/6.53 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 6.09/6.53 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8718, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 6.09/6.53 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 6.09/6.53 , 0, clause( 8717, [ =( multiply( inverse( inverse( X ) ), identity ),
% 6.09/6.53 multiply( identity, X ) ) ] )
% 6.09/6.53 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 199, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 6.09/6.53 , clause( 8718, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 6.09/6.53 )
% 6.09/6.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8721, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 6.09/6.53 ) ] )
% 6.09/6.53 , clause( 40, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 6.09/6.53 ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8724, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 6.09/6.53 ) ] )
% 6.09/6.53 , clause( 199, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 6.09/6.53 , 0, clause( 8721, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 6.09/6.53 , Y ) ) ] )
% 6.09/6.53 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 6.09/6.53 inverse( X ) ) ), :=( Y, Y )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 200, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 6.09/6.53 ) ] )
% 6.09/6.53 , clause( 8724, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.09/6.53 ) ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.09/6.53 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8730, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 6.09/6.53 ) ] )
% 6.09/6.53 , clause( 200, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.09/6.53 ) ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8733, [ =( multiply( X, identity ), X ) ] )
% 6.09/6.53 , clause( 199, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 6.09/6.53 , 0, clause( 8730, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 6.09/6.53 , Y ) ) ] )
% 6.09/6.53 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 6.09/6.53 :=( Y, identity )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 229, [ =( multiply( X, identity ), X ) ] )
% 6.09/6.53 , clause( 8733, [ =( multiply( X, identity ), X ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8739, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 6.09/6.53 'sk_c7' ) ] )
% 6.09/6.53 , clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 6.09/6.53 'sk_c6' ) ] )
% 6.09/6.53 , 1, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8741, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 6.09/6.53 ) ] )
% 6.09/6.53 , clause( 200, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.09/6.53 ) ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8750, [ =( multiply( 'sk_c1', X ), multiply( inverse( 'sk_c7' ), X
% 6.09/6.53 ) ), =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.09/6.53 , clause( 8739, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 6.09/6.53 'sk_c7' ) ] )
% 6.09/6.53 , 1, clause( 8741, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 6.09/6.53 , Y ) ) ] )
% 6.09/6.53 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' ), :=( Y,
% 6.09/6.53 X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8752, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( multiply( 'sk_c1', X )
% 6.09/6.53 , multiply( inverse( 'sk_c7' ), X ) ) ] )
% 6.09/6.53 , clause( 8750, [ =( multiply( 'sk_c1', X ), multiply( inverse( 'sk_c7' ),
% 6.09/6.53 X ) ), =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.09/6.53 , 1, substitution( 0, [ :=( X, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8753, [ =( multiply( inverse( 'sk_c7' ), X ), multiply( 'sk_c1', X
% 6.09/6.53 ) ), =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.53 , clause( 8752, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( multiply( 'sk_c1', X
% 6.09/6.53 ), multiply( inverse( 'sk_c7' ), X ) ) ] )
% 6.09/6.53 , 1, substitution( 0, [ :=( X, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 253, [ =( multiply( inverse( 'sk_c7' ), X ), multiply( 'sk_c1', X )
% 6.09/6.53 ), =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.53 , clause( 8753, [ =( multiply( inverse( 'sk_c7' ), X ), multiply( 'sk_c1',
% 6.09/6.53 X ) ), =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.09/6.53 1 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8754, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 6.09/6.53 ) ] )
% 6.09/6.53 , clause( 200, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.09/6.53 ) ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8757, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.53 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.09/6.53 , 0, clause( 8754, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 6.09/6.53 , Y ) ) ] )
% 6.09/6.53 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 6.09/6.53 :=( X, X ), :=( Y, inverse( X ) )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.53 , clause( 8757, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8760, [ =( X, multiply( X, identity ) ) ] )
% 6.09/6.53 , clause( 229, [ =( multiply( X, identity ), X ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8763, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 6.09/6.53 , clause( 200, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.09/6.53 ) ) ] )
% 6.09/6.53 , 0, clause( 8760, [ =( X, multiply( X, identity ) ) ] )
% 6.09/6.53 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 6.09/6.53 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8764, [ =( inverse( inverse( X ) ), X ) ] )
% 6.09/6.53 , clause( 229, [ =( multiply( X, identity ), X ) ] )
% 6.09/6.53 , 0, clause( 8763, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 6.09/6.53 ] )
% 6.09/6.53 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.09/6.53 ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 subsumption(
% 6.09/6.53 clause( 260, [ =( inverse( inverse( X ) ), X ) ] )
% 6.09/6.53 , clause( 8764, [ =( inverse( inverse( X ) ), X ) ] )
% 6.09/6.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8766, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( inverse(
% 6.09/6.53 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.53 , clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 6.09/6.53 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.53 , 0, substitution( 0, [] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 eqswap(
% 6.09/6.53 clause( 8769, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.53 , clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.53 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8773, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c6',
% 6.09/6.53 multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 6.09/6.53 , clause( 8766, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( inverse(
% 6.09/6.53 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.53 , 1, clause( 8769, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.53 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 6.09/6.53
% 6.09/6.53
% 6.09/6.53 paramod(
% 6.09/6.53 clause( 8783, [ =( identity, 'sk_c7' ), =( multiply( 'sk_c1', 'sk_c7' ),
% 6.09/6.53 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 6.09/6.54 , clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.09/6.54 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.54 , 1, clause( 8773, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =(
% 6.09/6.54 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 6.09/6.54 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 8849, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 6.09/6.54 'sk_c7' ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 6.09/6.54 , clause( 8783, [ =( identity, 'sk_c7' ), =( multiply( 'sk_c1', 'sk_c7' ),
% 6.09/6.54 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 6.09/6.54 , 2, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 factor(
% 6.09/6.54 clause( 8855, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 6.09/6.54 'sk_c7' ) ] )
% 6.09/6.54 , clause( 8849, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 6.09/6.54 'sk_c7' ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 6.09/6.54 , 0, 2, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 subsumption(
% 6.09/6.54 clause( 292, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 6.09/6.54 'sk_c7' ) ] )
% 6.09/6.54 , clause( 8855, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 6.09/6.54 'sk_c7' ) ] )
% 6.09/6.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.54 ).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 8917, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 6.09/6.54 'sk_c1' ), 'sk_c7' ) ] )
% 6.09/6.54 , clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 6.09/6.54 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.54 , 1, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 8919, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.54 , clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.54 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 paramod(
% 6.09/6.54 clause( 8923, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 6.09/6.54 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , clause( 8917, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 6.09/6.54 'sk_c1' ), 'sk_c7' ) ] )
% 6.09/6.54 , 1, clause( 8919, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.54 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 paramod(
% 6.09/6.54 clause( 8932, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 6.09/6.54 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.09/6.54 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.54 , 0, clause( 8923, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 6.09/6.54 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 8952, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.09/6.54 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.54 , clause( 8932, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 6.09/6.54 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , 2, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 factor(
% 6.09/6.54 clause( 9067, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.09/6.54 'sk_c6' ) ] )
% 6.09/6.54 , clause( 8952, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.09/6.54 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.54 , 0, 2, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 subsumption(
% 6.09/6.54 clause( 295, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.09/6.54 'sk_c6' ) ] )
% 6.09/6.54 , clause( 9067, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.09/6.54 'sk_c6' ) ] )
% 6.09/6.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.54 ).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 9069, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 6.09/6.54 'sk_c2' ), 'sk_c6' ) ] )
% 6.09/6.54 , clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 6.09/6.54 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.54 , 1, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 9071, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.54 , clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.54 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 9073, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( multiply(
% 6.09/6.54 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.09/6.54 , clause( 21, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.09/6.54 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.54 , 1, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 paramod(
% 6.09/6.54 clause( 9078, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c7',
% 6.09/6.54 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , clause( 9069, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 6.09/6.54 'sk_c2' ), 'sk_c6' ) ] )
% 6.09/6.54 , 1, clause( 9071, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.54 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 paramod(
% 6.09/6.54 clause( 9256, [ =( identity, 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c4',
% 6.09/6.54 'sk_c6' ) ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , clause( 9073, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( multiply(
% 6.09/6.54 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.09/6.54 , 1, clause( 9078, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 6.09/6.54 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 factor(
% 6.09/6.54 clause( 9257, [ =( identity, 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c4',
% 6.09/6.54 'sk_c6' ) ) ] )
% 6.09/6.54 , clause( 9256, [ =( identity, 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c4',
% 6.09/6.54 'sk_c6' ) ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , 1, 2, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 paramod(
% 6.09/6.54 clause( 9267, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 6.09/6.54 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , clause( 295, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.09/6.54 'sk_c6' ) ] )
% 6.09/6.54 , 1, clause( 9257, [ =( identity, 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c4'
% 6.09/6.54 , 'sk_c6' ) ) ] )
% 6.09/6.54 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 9333, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.09/6.54 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.54 , clause( 9267, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 6.09/6.54 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 6.09/6.54 , 2, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 factor(
% 6.09/6.54 clause( 9339, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.09/6.54 'sk_c5' ) ] )
% 6.09/6.54 , clause( 9333, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.09/6.54 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.54 , 0, 2, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 subsumption(
% 6.09/6.54 clause( 300, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.09/6.54 'sk_c5' ) ] )
% 6.09/6.54 , clause( 9339, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.09/6.54 'sk_c5' ) ] )
% 6.09/6.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.54 ).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 9395, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' ),
% 6.09/6.54 'sk_c7' ) ] )
% 6.09/6.54 , clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 6.09/6.54 'sk_c7' ) ] )
% 6.09/6.54 , 1, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 9397, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.54 , clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.54 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 paramod(
% 6.09/6.54 clause( 9403, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 6.09/6.54 inverse( 'sk_c3' ) ) ] )
% 6.09/6.54 , clause( 9395, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' ),
% 6.09/6.54 'sk_c7' ) ] )
% 6.09/6.54 , 1, clause( 9397, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.54 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 paramod(
% 6.09/6.54 clause( 9412, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' ),
% 6.09/6.54 =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.09/6.54 , clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 6.09/6.54 'sk_c3' ), 'sk_c7' ) ] )
% 6.09/6.54 , 0, clause( 9403, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 6.09/6.54 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.09/6.54 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 9432, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ),
% 6.09/6.54 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.09/6.54 , clause( 9412, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 6.09/6.54 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.09/6.54 , 2, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 factor(
% 6.09/6.54 clause( 9555, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 6.09/6.54 )
% 6.09/6.54 , clause( 9432, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' )
% 6.09/6.54 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.09/6.54 , 0, 2, substitution( 0, [] )).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 subsumption(
% 6.09/6.54 clause( 310, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 6.09/6.54 )
% 6.09/6.54 , clause( 9555, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' )
% 6.09/6.54 ] )
% 6.09/6.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.54 ).
% 6.09/6.54
% 6.09/6.54
% 6.09/6.54 eqswap(
% 6.09/6.54 clause( 9557, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 6.09/6.54 'sk_c7' ) ] )
% 6.09/6.54 , clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 6.09/6.55 'sk_c6' ) ] )
% 6.09/6.55 , 1, substitution( 0, [] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 eqswap(
% 6.09/6.55 clause( 9559, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.55 , clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.55 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 paramod(
% 6.09/6.55 clause( 9565, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c6',
% 6.09/6.55 inverse( 'sk_c4' ) ) ] )
% 6.09/6.55 , clause( 9557, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 6.09/6.55 'sk_c7' ) ] )
% 6.09/6.55 , 1, clause( 9559, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.55 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 paramod(
% 6.09/6.55 clause( 9574, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ),
% 6.09/6.55 =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.09/6.55 , clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 6.09/6.55 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.55 , 0, clause( 9565, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 6.09/6.55 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.09/6.55 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 eqswap(
% 6.09/6.55 clause( 9594, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ),
% 6.09/6.55 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.55 , clause( 9574, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' )
% 6.09/6.55 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.09/6.55 , 2, substitution( 0, [] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 factor(
% 6.09/6.55 clause( 9723, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 6.09/6.55 )
% 6.09/6.55 , clause( 9594, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' )
% 6.09/6.55 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.09/6.55 , 0, 2, substitution( 0, [] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 subsumption(
% 6.09/6.55 clause( 312, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 6.09/6.55 )
% 6.09/6.55 , clause( 9723, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' )
% 6.09/6.55 ] )
% 6.09/6.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.55 ).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 eqswap(
% 6.09/6.55 clause( 9724, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' ),
% 6.09/6.55 'sk_c6' ) ] )
% 6.09/6.55 , clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 6.09/6.55 'sk_c6' ) ] )
% 6.09/6.55 , 0, substitution( 0, [] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 eqswap(
% 6.09/6.55 clause( 9727, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.55 , clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.55 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 paramod(
% 6.09/6.55 clause( 9731, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c7',
% 6.09/6.55 inverse( 'sk_c1' ) ) ] )
% 6.09/6.55 , clause( 9724, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' ),
% 6.09/6.55 'sk_c6' ) ] )
% 6.09/6.55 , 1, clause( 9727, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.55 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 paramod(
% 6.09/6.55 clause( 9741, [ =( identity, 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c7' ),
% 6.09/6.55 =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 6.09/6.55 , clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 6.09/6.55 'sk_c6' ), 'sk_c7' ) ] )
% 6.09/6.55 , 1, clause( 9731, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =(
% 6.09/6.55 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 6.09/6.55 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 eqswap(
% 6.09/6.55 clause( 9807, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ),
% 6.09/6.55 =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 6.09/6.55 , clause( 9741, [ =( identity, 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c7' )
% 6.09/6.55 , =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 6.09/6.55 , 2, substitution( 0, [] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 factor(
% 6.09/6.55 clause( 9813, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 6.09/6.55 )
% 6.09/6.55 , clause( 9807, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' )
% 6.09/6.55 , =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 6.09/6.55 , 0, 2, substitution( 0, [] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 subsumption(
% 6.09/6.55 clause( 313, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 6.09/6.55 )
% 6.09/6.55 , clause( 9813, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' )
% 6.09/6.55 ] )
% 6.09/6.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.09/6.55 ).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 eqswap(
% 6.09/6.55 clause( 9883, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c2' ),
% 6.09/6.55 'sk_c6' ) ] )
% 6.09/6.55 , clause( 24, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 6.09/6.55 'sk_c7' ) ] )
% 6.09/6.55 , 1, substitution( 0, [] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 eqswap(
% 6.09/6.55 clause( 9885, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.09/6.55 , clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.09/6.55 , 0, substitution( 0, [ :=( X, X )] )).
% 6.09/6.55
% 6.09/6.55
% 6.09/6.55 eqswap(
% 6.09/6.55 clause( 9887, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( multiply( 'sk_c2',
% 6.19/6.56 'sk_c6' ), 'sk_c5' ) ] )
% 6.19/6.56 , clause( 19, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.19/6.56 'sk_c3' ), 'sk_c7' ) ] )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 9894, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c7',
% 6.19/6.56 inverse( 'sk_c3' ) ) ] )
% 6.19/6.56 , clause( 9883, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c2' ),
% 6.19/6.56 'sk_c6' ) ] )
% 6.19/6.56 , 1, clause( 9885, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.19/6.56 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10072, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) ),
% 6.19/6.56 =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.19/6.56 , clause( 9887, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( multiply( 'sk_c2',
% 6.19/6.56 'sk_c6' ), 'sk_c5' ) ] )
% 6.19/6.56 , 1, clause( 9894, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 6.19/6.56 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.19/6.56 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 10073, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10072, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) )
% 6.19/6.56 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.19/6.56 , 1, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10083, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c3' ), 'sk_c7' ),
% 6.19/6.56 =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.19/6.56 , clause( 310, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, clause( 10073, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3'
% 6.19/6.56 ) ) ] )
% 6.19/6.56 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10149, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ),
% 6.19/6.56 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.19/6.56 , clause( 10083, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 6.19/6.56 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.19/6.56 , 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 10155, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10149, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' )
% 6.19/6.56 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.19/6.56 , 0, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 314, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 6.19/6.56 , clause( 10155, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10211, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' ),
% 6.19/6.56 'sk_c6' ) ] )
% 6.19/6.56 , clause( 27, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 6.19/6.56 'sk_c6' ) ] )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10213, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.19/6.56 , clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.19/6.56 , 0, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10215, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 6.19/6.56 'sk_c6' ), 'sk_c5' ) ] )
% 6.19/6.56 , clause( 22, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.19/6.56 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10222, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c6',
% 6.19/6.56 inverse( 'sk_c4' ) ) ] )
% 6.19/6.56 , clause( 10211, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' )
% 6.19/6.56 , 'sk_c6' ) ] )
% 6.19/6.56 , 1, clause( 10213, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.19/6.56 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10400, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) ),
% 6.19/6.56 =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.19/6.56 , clause( 10215, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 6.19/6.56 'sk_c6' ), 'sk_c5' ) ] )
% 6.19/6.56 , 1, clause( 10222, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 6.19/6.56 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.19/6.56 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 10401, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10400, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) )
% 6.19/6.56 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.19/6.56 , 1, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10411, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c4' ), 'sk_c6' ),
% 6.19/6.56 =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.19/6.56 , clause( 312, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, clause( 10401, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4'
% 6.19/6.56 ) ) ] )
% 6.19/6.56 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10477, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ),
% 6.19/6.56 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , clause( 10411, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c4' ), 'sk_c6' )
% 6.19/6.56 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.19/6.56 , 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 10483, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10477, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' )
% 6.19/6.56 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , 0, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 316, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 6.19/6.56 , clause( 10483, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10545, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 314, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10548, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) ),
% 6.19/6.56 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.19/6.56 , clause( 10545, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( 'sk_c6', 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, clause( 310, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6'
% 6.19/6.56 ) ] )
% 6.19/6.56 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10550, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ),
% 6.19/6.56 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.19/6.56 , clause( 10548, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) )
% 6.19/6.56 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 10555, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10550, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' )
% 6.19/6.56 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.19/6.56 , 0, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10555, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10559, [ =( 'sk_c5', identity ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10561, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.19/6.56 , clause( 260, [ =( inverse( inverse( X ) ), X ) ] )
% 6.19/6.56 , 0, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10562, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c5', identity ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10559, [ =( 'sk_c5', identity ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, clause( 10561, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.19/6.56 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10564, [ =( identity, 'sk_c5' ), =( 'sk_c3', inverse( 'sk_c7' ) ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10562, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c5', identity )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10565, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10564, [ =( identity, 'sk_c5' ), =( 'sk_c3', inverse( 'sk_c7' ) )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 320, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10565, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10566, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10569, [ =( X, multiply( X, identity ) ) ] )
% 6.19/6.56 , clause( 229, [ =( multiply( X, identity ), X ) ] )
% 6.19/6.56 , 0, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10570, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c7', inverse(
% 6.19/6.56 'sk_c3' ) ) ] )
% 6.19/6.56 , clause( 10566, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( identity, 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, clause( 10569, [ =( X, multiply( X, identity ) ) ] )
% 6.19/6.56 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10572, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( X, multiply( X,
% 6.19/6.56 'sk_c5' ) ) ] )
% 6.19/6.56 , clause( 10570, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c7', inverse(
% 6.19/6.56 'sk_c3' ) ) ] )
% 6.19/6.56 , 1, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10573, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 6.19/6.56 'sk_c7' ) ] )
% 6.19/6.56 , clause( 10572, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( X, multiply( X,
% 6.19/6.56 'sk_c5' ) ) ] )
% 6.19/6.56 , 1, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 321, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 6.19/6.56 'sk_c7' ) ] )
% 6.19/6.56 , clause( 10573, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 6.19/6.56 'sk_c7' ) ] )
% 6.19/6.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.19/6.56 1 )] ) ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10574, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 320, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10577, [ =( X, multiply( X, identity ) ) ] )
% 6.19/6.56 , clause( 229, [ =( multiply( X, identity ), X ) ] )
% 6.19/6.56 , 0, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10578, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c3', inverse(
% 6.19/6.56 'sk_c7' ) ) ] )
% 6.19/6.56 , clause( 10574, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( identity, 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, clause( 10577, [ =( X, multiply( X, identity ) ) ] )
% 6.19/6.56 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10580, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( X, multiply( X,
% 6.19/6.56 'sk_c5' ) ) ] )
% 6.19/6.56 , clause( 10578, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c3', inverse(
% 6.19/6.56 'sk_c7' ) ) ] )
% 6.19/6.56 , 1, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10581, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c7' ),
% 6.19/6.56 'sk_c3' ) ] )
% 6.19/6.56 , clause( 10580, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( X, multiply( X,
% 6.19/6.56 'sk_c5' ) ) ] )
% 6.19/6.56 , 1, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 325, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c7' ),
% 6.19/6.56 'sk_c3' ) ] )
% 6.19/6.56 , clause( 10581, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c7' ),
% 6.19/6.56 'sk_c3' ) ] )
% 6.19/6.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.19/6.56 1 )] ) ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10585, [ =( identity, inverse( identity ) ) ] )
% 6.19/6.56 , clause( 196, [ =( inverse( identity ), identity ) ] )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10611, [ =( identity, inverse( 'sk_c5' ) ), =( inverse( 'sk_c7' ),
% 6.19/6.56 'sk_c3' ) ] )
% 6.19/6.56 , clause( 320, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, clause( 10585, [ =( identity, inverse( identity ) ) ] )
% 6.19/6.56 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10613, [ =( 'sk_c5', inverse( 'sk_c5' ) ), =( inverse( 'sk_c7' ),
% 6.19/6.56 'sk_c3' ), =( inverse( 'sk_c7' ), 'sk_c3' ) ] )
% 6.19/6.56 , clause( 320, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, clause( 10611, [ =( identity, inverse( 'sk_c5' ) ), =( inverse(
% 6.19/6.56 'sk_c7' ), 'sk_c3' ) ] )
% 6.19/6.56 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10676, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' ),
% 6.19/6.56 'sk_c3' ), =( inverse( 'sk_c7' ), 'sk_c3' ) ] )
% 6.19/6.56 , clause( 10613, [ =( 'sk_c5', inverse( 'sk_c5' ) ), =( inverse( 'sk_c7' )
% 6.19/6.56 , 'sk_c3' ), =( inverse( 'sk_c7' ), 'sk_c3' ) ] )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 10680, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' ),
% 6.19/6.56 'sk_c3' ) ] )
% 6.19/6.56 , clause( 10676, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' )
% 6.19/6.56 , 'sk_c3' ), =( inverse( 'sk_c7' ), 'sk_c3' ) ] )
% 6.19/6.56 , 1, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 327, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' ),
% 6.19/6.56 'sk_c3' ) ] )
% 6.19/6.56 , clause( 10680, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' )
% 6.19/6.56 , 'sk_c3' ) ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10731, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 316, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10735, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) ),
% 6.19/6.56 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , clause( 10731, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, clause( 312, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6'
% 6.19/6.56 ) ] )
% 6.19/6.56 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10792, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ),
% 6.19/6.56 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , clause( 10735, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) )
% 6.19/6.56 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 10797, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10792, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' )
% 6.19/6.56 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , 0, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 329, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10797, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10801, [ =( 'sk_c5', identity ), =( inverse( 'sk_c4' ), 'sk_c6' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 329, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10803, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.19/6.56 , clause( 260, [ =( inverse( inverse( X ) ), X ) ] )
% 6.19/6.56 , 0, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10804, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c5', identity ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10801, [ =( 'sk_c5', identity ), =( inverse( 'sk_c4' ), 'sk_c6' )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, clause( 10803, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.19/6.56 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10806, [ =( identity, 'sk_c5' ), =( 'sk_c4', inverse( 'sk_c6' ) ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10804, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c5', identity )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10807, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10806, [ =( identity, 'sk_c5' ), =( 'sk_c4', inverse( 'sk_c6' ) )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 331, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 10807, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10808, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 329, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10811, [ =( X, multiply( X, identity ) ) ] )
% 6.19/6.56 , clause( 229, [ =( multiply( X, identity ), X ) ] )
% 6.19/6.56 , 0, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10812, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c6', inverse(
% 6.19/6.56 'sk_c4' ) ) ] )
% 6.19/6.56 , clause( 10808, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( identity, 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, clause( 10811, [ =( X, multiply( X, identity ) ) ] )
% 6.19/6.56 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10814, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( X, multiply( X,
% 6.19/6.56 'sk_c5' ) ) ] )
% 6.19/6.56 , clause( 10812, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c6', inverse(
% 6.19/6.56 'sk_c4' ) ) ] )
% 6.19/6.56 , 1, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10815, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 6.19/6.56 'sk_c6' ) ] )
% 6.19/6.56 , clause( 10814, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( X, multiply( X,
% 6.19/6.56 'sk_c5' ) ) ] )
% 6.19/6.56 , 1, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 332, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 6.19/6.56 'sk_c6' ) ] )
% 6.19/6.56 , clause( 10815, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 6.19/6.56 'sk_c6' ) ] )
% 6.19/6.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.19/6.56 1 )] ) ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10819, [ =( identity, inverse( identity ) ) ] )
% 6.19/6.56 , clause( 196, [ =( inverse( identity ), identity ) ] )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10845, [ =( identity, inverse( 'sk_c5' ) ), =( inverse( 'sk_c4' ),
% 6.19/6.56 'sk_c6' ) ] )
% 6.19/6.56 , clause( 329, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, clause( 10819, [ =( identity, inverse( identity ) ) ] )
% 6.19/6.56 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10847, [ =( 'sk_c5', inverse( 'sk_c5' ) ), =( inverse( 'sk_c4' ),
% 6.19/6.56 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , clause( 329, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, clause( 10845, [ =( identity, inverse( 'sk_c5' ) ), =( inverse(
% 6.19/6.56 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10910, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c4' ),
% 6.19/6.56 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , clause( 10847, [ =( 'sk_c5', inverse( 'sk_c5' ) ), =( inverse( 'sk_c4' )
% 6.19/6.56 , 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 10914, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c4' ),
% 6.19/6.56 'sk_c6' ) ] )
% 6.19/6.56 , clause( 10910, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c4' )
% 6.19/6.56 , 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.19/6.56 , 1, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 334, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c4' ),
% 6.19/6.56 'sk_c6' ) ] )
% 6.19/6.56 , clause( 10914, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c4' )
% 6.19/6.56 , 'sk_c6' ) ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10962, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 331, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10965, [ =( X, multiply( X, identity ) ) ] )
% 6.19/6.56 , clause( 229, [ =( multiply( X, identity ), X ) ] )
% 6.19/6.56 , 0, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10966, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c4', inverse(
% 6.19/6.56 'sk_c6' ) ) ] )
% 6.19/6.56 , clause( 10962, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( identity, 'sk_c5' )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, clause( 10965, [ =( X, multiply( X, identity ) ) ] )
% 6.19/6.56 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10968, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( X, multiply( X,
% 6.19/6.56 'sk_c5' ) ) ] )
% 6.19/6.56 , clause( 10966, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c4', inverse(
% 6.19/6.56 'sk_c6' ) ) ] )
% 6.19/6.56 , 1, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10969, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c6' ),
% 6.19/6.56 'sk_c4' ) ] )
% 6.19/6.56 , clause( 10968, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( X, multiply( X,
% 6.19/6.56 'sk_c5' ) ) ] )
% 6.19/6.56 , 1, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 336, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c6' ),
% 6.19/6.56 'sk_c4' ) ] )
% 6.19/6.56 , clause( 10969, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c6' ),
% 6.19/6.56 'sk_c4' ) ] )
% 6.19/6.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.19/6.56 1 )] ) ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10971, [ =( 'sk_c7', identity ), =( inverse( 'sk_c1' ), 'sk_c7' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 313, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 10973, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.19/6.56 , clause( 259, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.19/6.56 , 0, substitution( 0, [ :=( X, X )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 10979, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 6.19/6.56 identity ) ] )
% 6.19/6.56 , clause( 10971, [ =( 'sk_c7', identity ), =( inverse( 'sk_c1' ), 'sk_c7' )
% 6.19/6.56 ] )
% 6.19/6.56 , 1, clause( 10973, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.19/6.56 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 11000, [ =( identity, 'sk_c6' ), =( identity, 'sk_c7' ), =( 'sk_c7'
% 6.19/6.56 , identity ) ] )
% 6.19/6.56 , clause( 292, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 6.19/6.56 'sk_c7' ) ] )
% 6.19/6.56 , 0, clause( 10979, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 6.19/6.56 'sk_c7', identity ) ] )
% 6.19/6.56 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 11024, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ), =(
% 6.19/6.56 identity, 'sk_c7' ) ] )
% 6.19/6.56 , clause( 11000, [ =( identity, 'sk_c6' ), =( identity, 'sk_c7' ), =(
% 6.19/6.56 'sk_c7', identity ) ] )
% 6.19/6.56 , 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 11183, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , clause( 11024, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ), =(
% 6.19/6.56 identity, 'sk_c7' ) ] )
% 6.19/6.56 , 0, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 340, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , clause( 11183, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqfact(
% 6.19/6.56 clause( 11187, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , clause( 340, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , 0, 1, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 346, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , clause( 11187, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 11198, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , clause( 346, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqfact(
% 6.19/6.56 clause( 11202, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 6.19/6.56 , clause( 340, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , 1, 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 11215, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c6', 'sk_c7' ) ), ~( =(
% 6.19/6.56 'sk_c6', 'sk_c7' ) ) ] )
% 6.19/6.56 , clause( 11198, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , 1, clause( 11202, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c7' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 11218, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c7' ), ~( =(
% 6.19/6.56 'sk_c6', 'sk_c7' ) ) ] )
% 6.19/6.56 , clause( 11215, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c6', 'sk_c7' ) ), ~(
% 6.19/6.56 =( 'sk_c6', 'sk_c7' ) ) ] )
% 6.19/6.56 , 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 11220, [ ~( =( 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c6' ) ),
% 6.19/6.56 =( 'sk_c6', 'sk_c7' ) ] )
% 6.19/6.56 , clause( 11218, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c7' ), ~(
% 6.19/6.56 =( 'sk_c6', 'sk_c7' ) ) ] )
% 6.19/6.56 , 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 11221, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~( =(
% 6.19/6.56 'sk_c7', 'sk_c6' ) ) ] )
% 6.19/6.56 , clause( 11220, [ ~( =( 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c6' ) ),
% 6.19/6.56 =( 'sk_c6', 'sk_c7' ) ] )
% 6.19/6.56 , 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 factor(
% 6.19/6.56 clause( 11224, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 6.19/6.56 , clause( 11221, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~(
% 6.19/6.56 =( 'sk_c7', 'sk_c6' ) ) ] )
% 6.19/6.56 , 1, 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 347, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 6.19/6.56 , clause( 11224, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 6.19/6.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 6.19/6.56 ).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 11227, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , clause( 346, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 11230, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , clause( 331, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 6.19/6.56 )
% 6.19/6.56 , 0, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 paramod(
% 6.19/6.56 clause( 11233, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c6', 'sk_c7' ) ), =(
% 6.19/6.56 'sk_c4', inverse( 'sk_c6' ) ) ] )
% 6.19/6.56 , clause( 11227, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 6.19/6.56 , 1, clause( 11230, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( identity,
% 6.19/6.56 'sk_c5' ) ] )
% 6.19/6.56 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 11236, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c6', 'sk_c5' ),
% 6.19/6.56 ~( =( 'sk_c6', 'sk_c7' ) ) ] )
% 6.19/6.56 , clause( 11233, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c6', 'sk_c7' ) ), =(
% 6.19/6.56 'sk_c4', inverse( 'sk_c6' ) ) ] )
% 6.19/6.56 , 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 eqswap(
% 6.19/6.56 clause( 11238, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( inverse( 'sk_c6' ), 'sk_c4'
% 6.19/6.56 ), =( 'sk_c6', 'sk_c5' ) ] )
% 6.19/6.56 , clause( 11236, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c6', 'sk_c5' )
% 6.19/6.56 , ~( =( 'sk_c6', 'sk_c7' ) ) ] )
% 6.19/6.56 , 2, substitution( 0, [] )).
% 6.19/6.56
% 6.19/6.56
% 6.19/6.56 subsumption(
% 6.19/6.56 clause( 348, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c6', 'sk_c5' ), ~(
% 6.19/6.56 =( 'sk_c7', 'sk_c6' ) ) ] )
% 6.19/6.56 , clause( 11238, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( inverse( 'sk_c6' ),
% 6.23/6.60 'sk_c4' ), =( 'sk_c6', 'sk_c5' ) ] )
% 6.23/6.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 6.23/6.60 , 1 )] ) ).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 eqswap(
% 6.23/6.60 clause( 11241, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 6.23/6.60 , clause( 346, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 6.23/6.60 , 0, substitution( 0, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 eqswap(
% 6.23/6.60 clause( 11244, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( identity, 'sk_c5' ) ]
% 6.23/6.60 )
% 6.23/6.60 , clause( 320, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.23/6.60 )
% 6.23/6.60 , 0, substitution( 0, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 eqswap(
% 6.23/6.60 clause( 11247, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 6.23/6.60 , clause( 347, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 6.23/6.60 , 0, substitution( 0, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 eqswap(
% 6.23/6.60 clause( 11251, [ =( 'sk_c5', 'sk_c6' ), =( inverse( 'sk_c6' ), 'sk_c4' ),
% 6.23/6.60 ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 6.23/6.60 , clause( 348, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c6', 'sk_c5' ),
% 6.23/6.60 ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 6.23/6.60 , 1, substitution( 0, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 paramod(
% 6.23/6.60 clause( 11257, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c6', 'sk_c7' ) ), =(
% 6.23/6.60 'sk_c3', inverse( 'sk_c7' ) ) ] )
% 6.23/6.60 , clause( 11241, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 6.23/6.60 , 1, clause( 11244, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( identity,
% 6.23/6.60 'sk_c5' ) ] )
% 6.23/6.60 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 paramod(
% 6.23/6.60 clause( 11259, [ =( 'sk_c3', inverse( 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' )
% 6.23/6.60 ), =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c6', 'sk_c7' ) ) ] )
% 6.23/6.60 , clause( 11247, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 6.23/6.60 , 1, clause( 11257, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c6', 'sk_c7' ) ),
% 6.23/6.60 =( 'sk_c3', inverse( 'sk_c7' ) ) ] )
% 6.23/6.60 , 2, 3, substitution( 0, [] ), substitution( 1, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 factor(
% 6.23/6.60 clause( 11270, [ =( 'sk_c3', inverse( 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' )
% 6.23/6.60 ), =( 'sk_c6', 'sk_c5' ) ] )
% 6.23/6.60 , clause( 11259, [ =( 'sk_c3', inverse( 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7'
% 6.23/6.60 ) ), =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c6', 'sk_c7' ) ) ] )
% 6.23/6.60 , 1, 3, substitution( 0, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 paramod(
% 6.23/6.60 clause( 11753, [ =( 'sk_c3', 'sk_c4' ), =( 'sk_c5', 'sk_c6' ), ~( =(
% 6.23/6.60 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.23/6.60 )
% 6.23/6.60 , clause( 11251, [ =( 'sk_c5', 'sk_c6' ), =( inverse( 'sk_c6' ), 'sk_c4' )
% 6.23/6.60 , ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 6.23/6.60 , 1, clause( 11270, [ =( 'sk_c3', inverse( 'sk_c6' ) ), ~( =( 'sk_c6',
% 6.23/6.60 'sk_c7' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 6.23/6.60 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 eqswap(
% 6.23/6.60 clause( 11757, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c3', 'sk_c4' ), =(
% 6.23/6.60 'sk_c5', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.23/6.60 )
% 6.23/6.60 , clause( 11753, [ =( 'sk_c3', 'sk_c4' ), =( 'sk_c5', 'sk_c6' ), ~( =(
% 6.23/6.60 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.23/6.60 )
% 6.23/6.60 , 3, substitution( 0, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 eqswap(
% 6.23/6.60 clause( 11764, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 6.23/6.60 'sk_c3', 'sk_c4' ), ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.23/6.60 )
% 6.23/6.60 , clause( 11757, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c3', 'sk_c4' ), =(
% 6.23/6.60 'sk_c5', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.23/6.60 )
% 6.23/6.60 , 2, substitution( 0, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 factor(
% 6.23/6.60 clause( 11775, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 6.23/6.60 'sk_c3', 'sk_c4' ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 6.23/6.60 , clause( 11764, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 6.23/6.60 'sk_c3', 'sk_c4' ), ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.23/6.60 )
% 6.23/6.60 , 0, 4, substitution( 0, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 factor(
% 6.23/6.60 clause( 11776, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 6.23/6.60 'sk_c3', 'sk_c4' ) ] )
% 6.23/6.60 , clause( 11775, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 6.23/6.60 'sk_c3', 'sk_c4' ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 6.23/6.60 , 1, 3, substitution( 0, [] )).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 subsumption(
% 6.23/6.60 clause( 349, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 6.23/6.60 'sk_c3', 'sk_c4' ) ] )
% 6.23/6.60 , clause( 11776, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 6.23/6.60 'sk_c3', 'sk_c4' ) ] )
% 6.23/6.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 6.23/6.60 , 2 )] ) ).
% 6.23/6.60
% 6.23/6.60
% 6.23/6.60 eqswap(
% 6.23/6.60 clause( 11786, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 6.23/6.60 , clause( 346, [Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------