%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP272-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 07:36:20 EDT 2022
% Result : Unsatisfiable 1.70s 2.08s
% Output : Refutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP272-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 09:30:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.70/2.08 *** allocated 10000 integers for termspace/termends
% 1.70/2.08 *** allocated 10000 integers for clauses
% 1.70/2.08 *** allocated 10000 integers for justifications
% 1.70/2.08 Bliksem 1.12
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 Automatic Strategy Selection
% 1.70/2.08
% 1.70/2.08 Clauses:
% 1.70/2.08 [
% 1.70/2.08 [ =( multiply( identity, X ), X ) ],
% 1.70/2.08 [ =( multiply( inverse( X ), X ), identity ) ],
% 1.70/2.08 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 1.70/2.08 ],
% 1.70/2.08 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 1.70/2.08 'sk_c6' ), 'sk_c7' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ],
% 1.70/2.08 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 1.70/2.08 'sk_c5' ) ],
% 1.70/2.08 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 1.70/2.08 ,
% 1.70/2.08 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 1.70/2.08 'sk_c7' ) ],
% 1.70/2.08 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ]
% 1.70/2.08 ,
% 1.70/2.08 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c5' ),
% 1.70/2.08 'sk_c6' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 1.70/2.08 'sk_c6' ), 'sk_c7' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 1.70/2.08 'sk_c6' ), 'sk_c7' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ],
% 1.70/2.08 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ],
% 1.70/2.08 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 1.70/2.08 'sk_c5' ) ],
% 1.70/2.08 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 1.70/2.08 ,
% 1.70/2.08 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 1.70/2.08 'sk_c7' ) ],
% 1.70/2.08 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ]
% 1.70/2.08 ,
% 1.70/2.08 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c5' ),
% 1.70/2.08 'sk_c6' ) ],
% 1.70/2.08 [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7'
% 1.70/2.08 ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( Y
% 1.70/2.08 , 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7' ) ), ~( =(
% 1.70/2.08 multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ), ~(
% 1.70/2.08 =( multiply( T, 'sk_c5' ), 'sk_c6' ) ) ]
% 1.70/2.08 ] .
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 percentage equality = 1.000000, percentage horn = 0.137931
% 1.70/2.08 This is a pure equality problem
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 Options Used:
% 1.70/2.08
% 1.70/2.08 useres = 1
% 1.70/2.08 useparamod = 1
% 1.70/2.08 useeqrefl = 1
% 1.70/2.08 useeqfact = 1
% 1.70/2.08 usefactor = 1
% 1.70/2.08 usesimpsplitting = 0
% 1.70/2.08 usesimpdemod = 5
% 1.70/2.08 usesimpres = 3
% 1.70/2.08
% 1.70/2.08 resimpinuse = 1000
% 1.70/2.08 resimpclauses = 20000
% 1.70/2.08 substype = eqrewr
% 1.70/2.08 backwardsubs = 1
% 1.70/2.08 selectoldest = 5
% 1.70/2.08
% 1.70/2.08 litorderings [0] = split
% 1.70/2.08 litorderings [1] = extend the termordering, first sorting on arguments
% 1.70/2.08
% 1.70/2.08 termordering = kbo
% 1.70/2.08
% 1.70/2.08 litapriori = 0
% 1.70/2.08 termapriori = 1
% 1.70/2.08 litaposteriori = 0
% 1.70/2.08 termaposteriori = 0
% 1.70/2.08 demodaposteriori = 0
% 1.70/2.08 ordereqreflfact = 0
% 1.70/2.08
% 1.70/2.08 litselect = negord
% 1.70/2.08
% 1.70/2.08 maxweight = 15
% 1.70/2.08 maxdepth = 30000
% 1.70/2.08 maxlength = 115
% 1.70/2.08 maxnrvars = 195
% 1.70/2.08 excuselevel = 1
% 1.70/2.08 increasemaxweight = 1
% 1.70/2.08
% 1.70/2.08 maxselected = 10000000
% 1.70/2.08 maxnrclauses = 10000000
% 1.70/2.08
% 1.70/2.08 showgenerated = 0
% 1.70/2.08 showkept = 0
% 1.70/2.08 showselected = 0
% 1.70/2.08 showdeleted = 0
% 1.70/2.08 showresimp = 1
% 1.70/2.08 showstatus = 2000
% 1.70/2.08
% 1.70/2.08 prologoutput = 1
% 1.70/2.08 nrgoals = 5000000
% 1.70/2.08 totalproof = 1
% 1.70/2.08
% 1.70/2.08 Symbols occurring in the translation:
% 1.70/2.08
% 1.70/2.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.70/2.08 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 1.70/2.08 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 1.70/2.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.70/2.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.70/2.08 identity [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.70/2.08 multiply [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 1.70/2.08 inverse [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.70/2.08 'sk_c1' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 1.70/2.08 'sk_c7' [46, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.70/2.08 'sk_c6' [47, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.70/2.08 'sk_c5' [48, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.70/2.08 'sk_c3' [49, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.70/2.08 'sk_c4' [50, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.70/2.08 'sk_c2' [51, 0] (w:1, o:10, a:1, s:1, b:0).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 Starting Search:
% 1.70/2.08
% 1.70/2.08 Resimplifying inuse:
% 1.70/2.08 Done
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 Bliksems!, er is een bewijs:
% 1.70/2.08 % SZS status Unsatisfiable
% 1.70/2.08 % SZS output start Refutation
% 1.70/2.08
% 1.70/2.08 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.70/2.08 , Z ) ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 3, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 4, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c3' ), 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 5, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 6, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 7, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 9, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 10, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 1.70/2.08 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 11, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 12, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 13, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 16, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 18, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 19, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.70/2.08 'sk_c3' ), 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 20, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.70/2.08 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 21, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 22, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.70/2.08 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 23, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 24, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 25, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 1.70/2.08 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 27, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 28, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 1.70/2.08 , 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 1.70/2.08 multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 1.70/2.08 =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7'
% 1.70/2.08 ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ),
% 1.70/2.08 'sk_c6' ) ), ~( =( multiply( T, 'sk_c5' ), 'sk_c6' ) ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 30, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 1.70/2.08 , 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 1.70/2.08 multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 1.70/2.08 =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7'
% 1.70/2.08 ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y,
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 38, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 1.70/2.08 , identity ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 39, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 1.70/2.08 identity ) ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 40, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 1.70/2.08 ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 49, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X,
% 1.70/2.08 'sk_c5' ) ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 63, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X,
% 1.70/2.08 'sk_c5' ) ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 68, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 1.70/2.08 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 72, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 1.70/2.08 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 81, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X,
% 1.70/2.08 'sk_c5' ) ), =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 83, [ =( multiply( inverse( identity ), X ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 86, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 1.70/2.08 multiply( Y, X ) ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 105, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X
% 1.70/2.08 , identity ) ), =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 131, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 200, [ =( inverse( identity ), identity ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 203, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 1.70/2.08 ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 233, [ =( multiply( X, identity ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 237, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4', X )
% 1.70/2.08 ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 258, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4', X )
% 1.70/2.08 ), =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 262, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4', X )
% 1.70/2.08 ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 264, [ =( inverse( inverse( X ) ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 289, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( inverse( 'sk_c1' ),
% 1.70/2.08 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 293, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( inverse( 'sk_c2' ),
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 294, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 295, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 296, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( identity,
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 302, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( 'sk_c6',
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 303, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 304, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( 'sk_c6',
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 314, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 316, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 320, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 322, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 323, [ =( multiply( 'sk_c3', 'sk_c7' ), identity ), =( identity,
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 324, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 325, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 328, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( multiply( 'sk_c5', X )
% 1.70/2.08 , X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 329, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c7' ),
% 1.70/2.08 'sk_c3' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 331, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' ),
% 1.70/2.08 'sk_c3' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 332, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( multiply( 'sk_c5', X )
% 1.70/2.08 , X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 333, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 335, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 336, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 339, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( multiply( 'sk_c5', X )
% 1.70/2.08 , X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 344, [ =( multiply( 'sk_c3', 'sk_c7' ), identity ), =( 'sk_c6',
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 345, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 352, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c7', 'sk_c5' ), =(
% 1.70/2.08 'sk_c5', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 353, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c7', 'sk_c5' ), =(
% 1.70/2.08 'sk_c7', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 356, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c7', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 363, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( 'sk_c7', 'sk_c5' ), =(
% 1.70/2.08 'sk_c5', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 364, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( 'sk_c7', 'sk_c5' ), =(
% 1.70/2.08 'sk_c7', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 367, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( 'sk_c7', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 376, [ =( multiply( 'sk_c3', 'sk_c7' ), identity ), =( 'sk_c7',
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 392, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 398, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c7', 'sk_c5' ), =(
% 1.70/2.08 'sk_c5', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 399, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c7', 'sk_c5' ), =(
% 1.70/2.08 'sk_c7', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 404, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c7', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 425, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c5', 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 429, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c5', 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 461, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( 'sk_c7',
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 509, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c1', 'sk_c7' ),
% 1.70/2.08 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 533, [ =( identity, 'sk_c5' ), =( multiply( 'sk_c1', 'sk_c7' ),
% 1.70/2.08 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 561, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 564, [ =( multiply( X, 'sk_c5' ), X ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 566, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( multiply(
% 1.70/2.08 'sk_c5', X ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 572, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 578, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( identity,
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 581, [ =( multiply( X, 'sk_c5' ), X ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 586, [ ~( =( 'sk_c6', 'sk_c4' ) ), =( multiply( 'sk_c4', 'sk_c5' )
% 1.70/2.08 , 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 594, [ ~( =( 'sk_c6', 'sk_c4' ) ), =( identity, 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 602, [ =( multiply( X, 'sk_c5' ), X ), ~( =( 'sk_c6', 'sk_c4' ) ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 640, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( 'sk_c7',
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 696, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( 'sk_c7', 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 701, [ =( identity, 'sk_c5' ), =( inverse( 'sk_c2' ), 'sk_c6' ),
% 1.70/2.08 =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 703, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c2' ), 'sk_c6' ), =(
% 1.70/2.08 identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 720, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 725, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( identity, 'sk_c6' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 728, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( 'sk_c6', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 733, [ =( 'sk_c6', 'sk_c5' ), =( identity, 'sk_c6' ), =( 'sk_c2',
% 1.70/2.08 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 735, [ =( 'sk_c2', 'sk_c4' ), =( 'sk_c5', 'sk_c1' ), =( identity,
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 737, [ =( 'sk_c2', 'sk_c4' ), =( identity, 'sk_c6' ), =( identity,
% 1.70/2.08 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 740, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( inverse( 'sk_c6' ),
% 1.70/2.08 'sk_c2' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 742, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( inverse( 'sk_c6' ), 'sk_c2' )
% 1.70/2.08 ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 743, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( 'sk_c2', 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 745, [ =( 'sk_c2', 'sk_c4' ), =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 748, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( 'sk_c2', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 762, [ =( inverse( 'sk_c6' ), 'sk_c6' ), ~( =( 'sk_c6', 'sk_c4' ) )
% 1.70/2.08 ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 765, [ ~( =( 'sk_c6', 'sk_c4' ) ), =( multiply( 'sk_c6', 'sk_c6' )
% 1.70/2.08 , 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 771, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( 'sk_c5', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 778, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( 'sk_c6', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 784, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( 'sk_c6',
% 1.70/2.08 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 793, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( 'sk_c5',
% 1.70/2.08 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 802, [ =( 'sk_c2', 'sk_c4' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 904, [ =( multiply( X, 'sk_c4' ), X ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c2' ), identity ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1006, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c7', 'sk_c6' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1012, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( identity, 'sk_c4' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1023, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c1' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1038, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c5', 'sk_c1' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1056, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( 'sk_c5', 'sk_c1' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1064, [ =( 'sk_c5', 'sk_c1' ), =( inverse( 'sk_c1' ), 'sk_c7' ),
% 1.70/2.08 =( 'sk_c3', 'sk_c4' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1067, [ =( identity, 'sk_c5' ), =( inverse( 'sk_c1' ), 'sk_c7' ),
% 1.70/2.08 =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1068, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c3', 'sk_c4' ),
% 1.70/2.08 =( inverse( 'sk_c1' ), 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1069, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c1' ), 'sk_c7' ),
% 1.70/2.08 =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1072, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c3', 'sk_c4' ),
% 1.70/2.08 =( 'sk_c6', 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1078, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c3', 'sk_c4' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1079, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1083, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( identity, 'sk_c6' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1088, [ =( 'sk_c3', 'sk_c1' ), =( 'sk_c5', 'sk_c1' ), =( identity,
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1090, [ =( identity, 'sk_c6' ), =( 'sk_c3', 'sk_c1' ), =( 'sk_c6',
% 1.70/2.08 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1094, [ =( 'sk_c3', 'sk_c1' ), =( identity, 'sk_c6' ), =( identity
% 1.70/2.08 , 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1099, [ =( 'sk_c3', 'sk_c1' ), =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1103, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ), =( identity
% 1.70/2.08 , 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1104, [ =( 'sk_c6', 'sk_c5' ), =( identity, 'sk_c6' ), =( 'sk_c6',
% 1.70/2.08 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1108, [ =( 'sk_c6', 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1109, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1110, [ =( identity, 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1111, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1115, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1116, [ =( inverse( 'sk_c6' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1117, [ =( multiply( 'sk_c6', X ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1118, [ =( 'sk_c6', 'sk_c4' ), =( 'sk_c6', 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1120, [ =( 'sk_c6', 'sk_c4' ), =( 'sk_c2', 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1129, [ =( 'sk_c3', 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1131, [ =( 'sk_c7', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1143, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c5' ), 'sk_c5' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1192, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1208, [ =( multiply( X, 'sk_c5' ), X ), ~( =( 'sk_c6', 'sk_c5' ) )
% 1.70/2.08 ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1209, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1211, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1213, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c5' ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1225, [ =( 'sk_c3', 'sk_c4' ), =( inverse( 'sk_c1' ), 'sk_c5' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1228, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c1' ), 'sk_c5' ) ]
% 1.70/2.08 )
% 1.70/2.08 .
% 1.70/2.08 clause( 1235, [ =( multiply( X, 'sk_c4' ), X ), =( 'sk_c2', 'sk_c6' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1264, [ =( 'sk_c2', 'sk_c5' ), =( multiply( X, 'sk_c4' ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1268, [ =( 'sk_c6', 'sk_c5' ), =( multiply( X, 'sk_c1' ), X ), =(
% 1.70/2.08 multiply( Y, 'sk_c1' ), Y ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1270, [ =( 'sk_c6', 'sk_c5' ), =( multiply( X, 'sk_c1' ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1275, [ =( 'sk_c6', 'sk_c5' ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1277, [ =( multiply( X, 'sk_c5' ), X ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1279, [ ~( =( inverse( X ), 'sk_c5' ) ), ~( =( inverse( Y ),
% 1.70/2.08 'sk_c5' ) ), ~( =( Y, 'sk_c5' ) ), ~( =( X, 'sk_c5' ) ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1280, [ ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c5' ) ) ] )
% 1.70/2.08 .
% 1.70/2.08 clause( 1281, [] )
% 1.70/2.08 .
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 % SZS output end Refutation
% 1.70/2.08 found a proof!
% 1.70/2.08
% 1.70/2.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.70/2.08
% 1.70/2.08 initialclauses(
% 1.70/2.08 [ clause( 1283, [ =( multiply( identity, X ), X ) ] )
% 1.70/2.08 , clause( 1284, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.70/2.08 , clause( 1285, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.70/2.08 Y, Z ) ) ) ] )
% 1.70/2.08 , clause( 1286, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , clause( 1287, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c3' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1288, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1289, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1290, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1291, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , clause( 1292, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1293, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 1.70/2.08 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1294, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1295, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1296, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , clause( 1297, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c3' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1298, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1299, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1300, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1301, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , clause( 1302, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.70/2.08 'sk_c3' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1303, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.70/2.08 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1304, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1305, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.70/2.08 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1306, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , clause( 1307, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1308, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 1.70/2.08 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1309, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1310, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1311, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 1.70/2.08 X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 1.70/2.08 multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 1.70/2.08 =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7'
% 1.70/2.08 ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ),
% 1.70/2.08 'sk_c6' ) ), ~( =( multiply( T, 'sk_c5' ), 'sk_c6' ) ) ] )
% 1.70/2.08 ] ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.70/2.08 , clause( 1283, [ =( multiply( identity, X ), X ) ] )
% 1.70/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.70/2.08 , clause( 1284, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.70/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 eqswap(
% 1.70/2.08 clause( 1317, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 1.70/2.08 Y ), Z ) ) ] )
% 1.70/2.08 , clause( 1285, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.70/2.08 Y, Z ) ) ) ] )
% 1.70/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.70/2.08 , Z ) ) ] )
% 1.70/2.08 , clause( 1317, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 1.70/2.08 , Y ), Z ) ) ] )
% 1.70/2.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.70/2.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 3, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , clause( 1286, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 4, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c3' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1287, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c3' ), 'sk_c7' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 5, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1288, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 6, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1289, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 7, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1290, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , clause( 1291, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 1.70/2.08 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 9, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1292, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 1.70/2.08 'sk_c7' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 10, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 1.70/2.08 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 , clause( 1293, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 1.70/2.08 'sk_c6' ), 'sk_c7' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 11, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1294, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 1.70/2.08 'sk_c6' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 12, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1295, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.70/2.08 'sk_c5' ), 'sk_c6' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 13, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , clause( 1296, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 16, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 , clause( 1299, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 1.70/2.08 'sk_c4' ), 'sk_c6' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.70/2.08 ).
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 subsumption(
% 1.70/2.08 clause( 18, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , clause( 1301, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.70/2.08 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 1.70/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 19, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.47/6.84 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 1302, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.47/6.84 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 20, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.47/6.84 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 1303, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.47/6.84 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 21, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 1304, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 22, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.47/6.84 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 1305, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.47/6.84 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 23, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 6.47/6.84 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , clause( 1306, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 6.47/6.84 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 24, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 6.47/6.84 'sk_c7' ) ] )
% 6.47/6.84 , clause( 1307, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 6.47/6.84 'sk_c7' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 25, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 6.47/6.84 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 1308, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 6.47/6.84 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 1309, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 27, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 6.47/6.84 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 1310, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 6.47/6.84 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 28, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 6.47/6.84 , 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 6.47/6.84 multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 6.47/6.84 =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7'
% 6.47/6.84 ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ),
% 6.47/6.84 'sk_c6' ) ), ~( =( multiply( T, 'sk_c5' ), 'sk_c6' ) ) ] )
% 6.47/6.84 , clause( 1311, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 6.47/6.84 X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 6.47/6.84 multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 6.47/6.84 =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7'
% 6.47/6.84 ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ),
% 6.47/6.84 'sk_c6' ) ), ~( =( multiply( T, 'sk_c5' ), 'sk_c6' ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.47/6.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 6.47/6.84 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ), ==>( 9,
% 6.47/6.84 9 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 factor(
% 6.47/6.84 clause( 6797, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X
% 6.47/6.84 ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 6.47/6.84 multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 6.47/6.84 =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7'
% 6.47/6.84 ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y,
% 6.47/6.84 'sk_c5' ), 'sk_c6' ) ) ] )
% 6.47/6.84 , clause( 28, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X
% 6.47/6.84 ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 6.47/6.84 multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 6.47/6.84 =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7'
% 6.47/6.84 ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ),
% 6.47/6.84 'sk_c6' ) ), ~( =( multiply( T, 'sk_c5' ), 'sk_c6' ) ) ] )
% 6.47/6.84 , 4, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 30, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 6.47/6.84 , 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 6.47/6.84 multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 6.47/6.84 =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7'
% 6.47/6.84 ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y,
% 6.47/6.84 'sk_c5' ), 'sk_c6' ) ) ] )
% 6.47/6.84 , clause( 6797, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 6.47/6.84 X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 6.47/6.84 multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 6.47/6.84 =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7'
% 6.47/6.84 ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y,
% 6.47/6.84 'sk_c5' ), 'sk_c6' ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.47/6.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 6.47/6.84 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9227, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.47/6.84 Y, Z ) ) ) ] )
% 6.47/6.84 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.47/6.84 ), Z ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9230, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 6.47/6.84 ), identity ) ] )
% 6.47/6.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.47/6.84 , 0, clause( 9227, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.47/6.84 multiply( Y, Z ) ) ) ] )
% 6.47/6.84 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 6.47/6.84 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 38, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 6.47/6.84 , identity ) ] )
% 6.47/6.84 , clause( 9230, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 6.47/6.84 Y ), identity ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.84 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9236, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.47/6.84 Y, Z ) ) ) ] )
% 6.47/6.84 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.47/6.84 ), Z ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9241, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 6.47/6.84 , identity ) ) ] )
% 6.47/6.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.47/6.84 , 0, clause( 9236, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.47/6.84 multiply( Y, Z ) ) ) ] )
% 6.47/6.84 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 6.47/6.84 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 39, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 6.47/6.84 identity ) ) ] )
% 6.47/6.84 , clause( 9241, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 6.47/6.84 X, identity ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.84 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9246, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.47/6.84 Y, Z ) ) ) ] )
% 6.47/6.84 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.47/6.84 ), Z ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9251, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 6.47/6.84 , 0, clause( 9246, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.47/6.84 multiply( Y, Z ) ) ) ] )
% 6.47/6.84 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 6.47/6.84 :=( Y, identity ), :=( Z, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 40, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 6.47/6.84 ] )
% 6.47/6.84 , clause( 9251, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.84 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9256, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( multiply(
% 6.47/6.84 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , clause( 3, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.47/6.84 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9259, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.47/6.84 Y, Z ) ) ) ] )
% 6.47/6.84 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.47/6.84 ), Z ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9261, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X
% 6.47/6.84 , 'sk_c5' ) ), =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 6.47/6.84 , clause( 9256, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( multiply(
% 6.47/6.84 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , 1, clause( 9259, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.47/6.84 multiply( Y, Z ) ) ) ] )
% 6.47/6.84 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 6.47/6.84 'sk_c6' ), :=( Z, 'sk_c7' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9266, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.47/6.84 multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X, 'sk_c5' ) ) ] )
% 6.47/6.84 , clause( 9261, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply(
% 6.47/6.84 X, 'sk_c5' ) ), =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 49, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X,
% 6.47/6.84 'sk_c5' ) ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9266, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.47/6.84 multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X, 'sk_c5' ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.47/6.84 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9268, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( multiply( 'sk_c6',
% 6.47/6.84 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , clause( 23, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 6.47/6.84 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9271, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.47/6.84 Y, Z ) ) ) ] )
% 6.47/6.84 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.47/6.84 ), Z ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9273, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X
% 6.47/6.84 , 'sk_c5' ) ), =( 'sk_c6', inverse( 'sk_c2' ) ) ] )
% 6.47/6.84 , clause( 9268, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( multiply( 'sk_c6',
% 6.47/6.84 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , 1, clause( 9271, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.47/6.84 multiply( Y, Z ) ) ) ] )
% 6.47/6.84 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 6.47/6.84 'sk_c6' ), :=( Z, 'sk_c7' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9278, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( multiply( X
% 6.47/6.84 , 'sk_c6' ), 'sk_c7' ), multiply( X, 'sk_c5' ) ) ] )
% 6.47/6.84 , clause( 9273, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply(
% 6.47/6.84 X, 'sk_c5' ) ), =( 'sk_c6', inverse( 'sk_c2' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 63, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X,
% 6.47/6.84 'sk_c5' ) ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9278, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( multiply(
% 6.47/6.84 X, 'sk_c6' ), 'sk_c7' ), multiply( X, 'sk_c5' ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.47/6.84 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9280, [ =( 'sk_c5', multiply( 'sk_c2', 'sk_c6' ) ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 21, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9283, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.47/6.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9284, [ =( identity, multiply( 'sk_c6', 'sk_c4' ) ), =( 'sk_c5',
% 6.47/6.84 multiply( 'sk_c2', 'sk_c6' ) ) ] )
% 6.47/6.84 , clause( 9280, [ =( 'sk_c5', multiply( 'sk_c2', 'sk_c6' ) ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , 1, clause( 9283, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.47/6.84 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9286, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( identity,
% 6.47/6.84 multiply( 'sk_c6', 'sk_c4' ) ) ] )
% 6.47/6.84 , clause( 9284, [ =( identity, multiply( 'sk_c6', 'sk_c4' ) ), =( 'sk_c5',
% 6.47/6.84 multiply( 'sk_c2', 'sk_c6' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9287, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 6.47/6.84 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.84 , clause( 9286, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( identity,
% 6.47/6.84 multiply( 'sk_c6', 'sk_c4' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 68, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 6.47/6.84 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.84 , clause( 9287, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 6.47/6.84 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9288, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 16, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9291, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.47/6.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9292, [ =( identity, multiply( 'sk_c6', 'sk_c4' ) ), =( 'sk_c6',
% 6.47/6.84 multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 6.47/6.84 , clause( 9288, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , 1, clause( 9291, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 6.47/6.84 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9294, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( identity,
% 6.47/6.84 multiply( 'sk_c6', 'sk_c4' ) ) ] )
% 6.47/6.84 , clause( 9292, [ =( identity, multiply( 'sk_c6', 'sk_c4' ) ), =( 'sk_c6',
% 6.47/6.84 multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9295, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 6.47/6.84 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9294, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( identity,
% 6.47/6.84 multiply( 'sk_c6', 'sk_c4' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 72, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 6.47/6.84 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9295, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 6.47/6.84 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9296, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( multiply( 'sk_c6',
% 6.47/6.84 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 6.47/6.84 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9299, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.47/6.84 Y, Z ) ) ) ] )
% 6.47/6.84 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.47/6.84 ), Z ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9301, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X
% 6.47/6.84 , 'sk_c5' ) ), =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 6.47/6.84 , clause( 9296, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( multiply( 'sk_c6',
% 6.47/6.84 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , 1, clause( 9299, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.47/6.84 multiply( Y, Z ) ) ) ] )
% 6.47/6.84 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 6.47/6.84 'sk_c6' ), :=( Z, 'sk_c7' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9306, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( multiply( X
% 6.47/6.84 , 'sk_c6' ), 'sk_c7' ), multiply( X, 'sk_c5' ) ) ] )
% 6.47/6.84 , clause( 9301, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply(
% 6.47/6.84 X, 'sk_c5' ) ), =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 81, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c7' ), multiply( X,
% 6.47/6.84 'sk_c5' ) ), =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 9306, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( multiply(
% 6.47/6.84 X, 'sk_c6' ), 'sk_c7' ), multiply( X, 'sk_c5' ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.47/6.84 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9309, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 40, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 6.47/6.84 ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9312, [ =( multiply( inverse( identity ), X ), multiply( identity,
% 6.47/6.84 X ) ) ] )
% 6.47/6.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.47/6.84 , 0, clause( 9309, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 6.47/6.84 , Y ) ) ] )
% 6.47/6.84 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 6.47/6.84 inverse( identity ) ), :=( Y, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9313, [ =( multiply( inverse( identity ), X ), X ) ] )
% 6.47/6.84 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 6.47/6.84 , 0, clause( 9312, [ =( multiply( inverse( identity ), X ), multiply(
% 6.47/6.84 identity, X ) ) ] )
% 6.47/6.84 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 83, [ =( multiply( inverse( identity ), X ), X ) ] )
% 6.47/6.84 , clause( 9313, [ =( multiply( inverse( identity ), X ), X ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9316, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.47/6.84 Y, Z ) ) ) ] )
% 6.47/6.84 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.47/6.84 ), Z ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9321, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 6.47/6.84 multiply( X, Y ) ) ] )
% 6.47/6.84 , clause( 83, [ =( multiply( inverse( identity ), X ), X ) ] )
% 6.47/6.84 , 0, clause( 9316, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.47/6.84 multiply( Y, Z ) ) ) ] )
% 6.47/6.84 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 6.47/6.84 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 86, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 6.47/6.84 multiply( Y, X ) ) ] )
% 6.47/6.84 , clause( 9321, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 6.47/6.84 multiply( X, Y ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.84 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9327, [ =( 'sk_c5', multiply( 'sk_c2', 'sk_c6' ) ), =( multiply(
% 6.47/6.84 'sk_c6', 'sk_c4' ), identity ) ] )
% 6.47/6.84 , clause( 68, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 6.47/6.84 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9329, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 6.47/6.84 Y, Z ) ) ) ] )
% 6.47/6.84 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 6.47/6.84 ), Z ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9347, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X
% 6.47/6.84 , identity ) ), =( 'sk_c5', multiply( 'sk_c2', 'sk_c6' ) ) ] )
% 6.47/6.84 , clause( 9327, [ =( 'sk_c5', multiply( 'sk_c2', 'sk_c6' ) ), =( multiply(
% 6.47/6.84 'sk_c6', 'sk_c4' ), identity ) ] )
% 6.47/6.84 , 1, clause( 9329, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 6.47/6.84 multiply( Y, Z ) ) ) ] )
% 6.47/6.84 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 6.47/6.84 'sk_c6' ), :=( Z, 'sk_c4' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9352, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.47/6.84 multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X, identity ) ) ] )
% 6.47/6.84 , clause( 9347, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply(
% 6.47/6.84 X, identity ) ), =( 'sk_c5', multiply( 'sk_c2', 'sk_c6' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 105, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X
% 6.47/6.84 , identity ) ), =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.84 , clause( 9352, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.47/6.84 multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X, identity ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.47/6.84 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9355, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 6.47/6.84 identity ) ), Y ) ) ] )
% 6.47/6.84 , clause( 86, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 6.47/6.84 multiply( Y, X ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9358, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 6.47/6.84 identity, X ) ) ] )
% 6.47/6.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.47/6.84 , 0, clause( 9355, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 6.47/6.84 identity ) ), Y ) ) ] )
% 6.47/6.84 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 6.47/6.84 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9359, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 6.47/6.84 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 6.47/6.84 , 0, clause( 9358, [ =( multiply( inverse( inverse( identity ) ), X ),
% 6.47/6.84 multiply( identity, X ) ) ] )
% 6.47/6.84 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 131, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 6.47/6.84 , clause( 9359, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 6.47/6.84 )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9361, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 6.47/6.84 , clause( 131, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9363, [ =( inverse( identity ), identity ) ] )
% 6.47/6.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.47/6.84 , 0, clause( 9361, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 6.47/6.84 ] )
% 6.47/6.84 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 6.47/6.84 , [ :=( X, inverse( identity ) )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 200, [ =( inverse( identity ), identity ) ] )
% 6.47/6.84 , clause( 9363, [ =( inverse( identity ), identity ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9366, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 6.47/6.84 Y ) ), Y ) ) ] )
% 6.47/6.84 , clause( 39, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 6.47/6.84 , identity ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9369, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 6.47/6.84 identity, X ) ) ] )
% 6.47/6.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.47/6.84 , 0, clause( 9366, [ =( multiply( X, identity ), multiply( multiply( X,
% 6.47/6.84 inverse( Y ) ), Y ) ) ] )
% 6.47/6.84 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 6.47/6.84 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9370, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 6.47/6.84 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 6.47/6.84 , 0, clause( 9369, [ =( multiply( inverse( inverse( X ) ), identity ),
% 6.47/6.84 multiply( identity, X ) ) ] )
% 6.47/6.84 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 203, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 6.47/6.84 , clause( 9370, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 6.47/6.84 )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9373, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 40, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 6.47/6.84 ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9376, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 203, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 6.47/6.84 , 0, clause( 9373, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 6.47/6.84 , Y ) ) ] )
% 6.47/6.84 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 6.47/6.84 inverse( X ) ) ), :=( Y, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 9376, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.84 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9382, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9385, [ =( multiply( X, identity ), X ) ] )
% 6.47/6.84 , clause( 203, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 6.47/6.84 , 0, clause( 9382, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 6.47/6.84 , Y ) ) ] )
% 6.47/6.84 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 6.47/6.84 :=( Y, identity )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 233, [ =( multiply( X, identity ), X ) ] )
% 6.47/6.84 , clause( 9385, [ =( multiply( X, identity ), X ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9390, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 6, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9393, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9394, [ =( multiply( 'sk_c4', X ), multiply( inverse( 'sk_c6' ), X
% 6.47/6.84 ) ), =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 6.47/6.84 , clause( 9390, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( inverse(
% 6.47/6.84 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.84 , 1, clause( 9393, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 6.47/6.84 , Y ) ) ] )
% 6.47/6.84 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' ), :=( Y,
% 6.47/6.84 X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9396, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.47/6.84 'sk_c4', X ), multiply( inverse( 'sk_c6' ), X ) ) ] )
% 6.47/6.84 , clause( 9394, [ =( multiply( 'sk_c4', X ), multiply( inverse( 'sk_c6' ),
% 6.47/6.84 X ) ), =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9397, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4', X
% 6.47/6.84 ) ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9396, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.47/6.84 'sk_c4', X ), multiply( inverse( 'sk_c6' ), X ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 237, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4', X )
% 6.47/6.84 ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9397, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4',
% 6.47/6.84 X ) ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.47/6.84 1 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9398, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 11, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9401, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9402, [ =( multiply( 'sk_c4', X ), multiply( inverse( 'sk_c6' ), X
% 6.47/6.84 ) ), =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 6.47/6.84 , clause( 9398, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , 1, clause( 9401, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 6.47/6.84 , Y ) ) ] )
% 6.47/6.84 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' ), :=( Y,
% 6.47/6.84 X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9404, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', X )
% 6.47/6.84 , multiply( inverse( 'sk_c6' ), X ) ) ] )
% 6.47/6.84 , clause( 9402, [ =( multiply( 'sk_c4', X ), multiply( inverse( 'sk_c6' ),
% 6.47/6.84 X ) ), =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9405, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4', X
% 6.47/6.84 ) ), =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 9404, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', X
% 6.47/6.84 ), multiply( inverse( 'sk_c6' ), X ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 258, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4', X )
% 6.47/6.84 ), =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 9405, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4',
% 6.47/6.84 X ) ), =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.47/6.84 1 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9406, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9409, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9410, [ =( multiply( 'sk_c4', X ), multiply( inverse( 'sk_c6' ), X
% 6.47/6.84 ) ), =( 'sk_c6', inverse( 'sk_c2' ) ) ] )
% 6.47/6.84 , clause( 9406, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , 1, clause( 9409, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 6.47/6.84 , Y ) ) ] )
% 6.47/6.84 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' ), :=( Y,
% 6.47/6.84 X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9412, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4', X )
% 6.47/6.84 , multiply( inverse( 'sk_c6' ), X ) ) ] )
% 6.47/6.84 , clause( 9410, [ =( multiply( 'sk_c4', X ), multiply( inverse( 'sk_c6' ),
% 6.47/6.84 X ) ), =( 'sk_c6', inverse( 'sk_c2' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9413, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4', X
% 6.47/6.84 ) ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9412, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4', X
% 6.47/6.84 ), multiply( inverse( 'sk_c6' ), X ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 262, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4', X )
% 6.47/6.84 ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9413, [ =( multiply( inverse( 'sk_c6' ), X ), multiply( 'sk_c4',
% 6.47/6.84 X ) ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.47/6.84 1 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9414, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 6.47/6.84 ) ] )
% 6.47/6.84 , clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9417, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 6.47/6.84 , 0, clause( 9414, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 6.47/6.84 , Y ) ) ] )
% 6.47/6.84 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 6.47/6.84 :=( X, X ), :=( Y, inverse( X ) )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.84 , clause( 9417, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9420, [ =( X, multiply( X, identity ) ) ] )
% 6.47/6.84 , clause( 233, [ =( multiply( X, identity ), X ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9423, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 6.47/6.84 , clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , 0, clause( 9420, [ =( X, multiply( X, identity ) ) ] )
% 6.47/6.84 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 6.47/6.84 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9424, [ =( inverse( inverse( X ) ), X ) ] )
% 6.47/6.84 , clause( 233, [ =( multiply( X, identity ), X ) ] )
% 6.47/6.84 , 0, clause( 9423, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 6.47/6.84 ] )
% 6.47/6.84 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 264, [ =( inverse( inverse( X ) ), X ) ] )
% 6.47/6.84 , clause( 9424, [ =( inverse( inverse( X ) ), X ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9426, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 11, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9429, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.47/6.84 , clause( 264, [ =( inverse( inverse( X ) ), X ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9430, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c7', inverse(
% 6.47/6.84 'sk_c1' ) ) ] )
% 6.47/6.84 , clause( 9426, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , 1, clause( 9429, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.47/6.84 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9432, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c4', inverse(
% 6.47/6.84 'sk_c6' ) ) ] )
% 6.47/6.84 , clause( 9430, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c7', inverse(
% 6.47/6.84 'sk_c1' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9433, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( inverse( 'sk_c1' ),
% 6.47/6.84 'sk_c7' ) ] )
% 6.47/6.84 , clause( 9432, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c4', inverse(
% 6.47/6.84 'sk_c6' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 289, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( inverse( 'sk_c1' ),
% 6.47/6.84 'sk_c7' ) ] )
% 6.47/6.84 , clause( 9433, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( inverse( 'sk_c1' ),
% 6.47/6.84 'sk_c7' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9434, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , 0, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9437, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.47/6.84 , clause( 264, [ =( inverse( inverse( X ) ), X ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9438, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c6', inverse(
% 6.47/6.84 'sk_c2' ) ) ] )
% 6.47/6.84 , clause( 9434, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( inverse( 'sk_c4' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , 1, clause( 9437, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.47/6.84 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9440, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( 'sk_c4', inverse(
% 6.47/6.84 'sk_c6' ) ) ] )
% 6.47/6.84 , clause( 9438, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c6', inverse(
% 6.47/6.84 'sk_c2' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9441, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( inverse( 'sk_c2' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9440, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( 'sk_c4', inverse(
% 6.47/6.84 'sk_c6' ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 293, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( inverse( 'sk_c2' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9441, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( inverse( 'sk_c2' ),
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9443, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( inverse(
% 6.47/6.84 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 6.47/6.84 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9445, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.84 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9449, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c5',
% 6.47/6.84 multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.84 , clause( 9443, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( inverse(
% 6.47/6.84 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , 1, clause( 9445, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.84 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9458, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 6.47/6.84 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.84 , clause( 3, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.47/6.84 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , 0, clause( 9449, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 6.47/6.84 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.84 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9478, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 6.47/6.84 'sk_c6' ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , clause( 9458, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 6.47/6.84 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.84 , 2, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 factor(
% 6.47/6.84 clause( 9593, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9478, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 6.47/6.84 'sk_c6' ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.84 , 0, 2, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 294, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9593, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9595, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 6.47/6.84 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 10, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 6.47/6.84 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9597, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.84 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9601, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 6.47/6.84 multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.84 , clause( 9595, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 6.47/6.84 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , 1, clause( 9597, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.84 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9610, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 6.47/6.84 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.84 , clause( 5, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.47/6.84 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.84 , 0, clause( 9601, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 6.47/6.84 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.84 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9630, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.47/6.84 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 9610, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 6.47/6.84 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.84 , 2, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 factor(
% 6.47/6.84 clause( 9745, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9630, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.47/6.84 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.84 , 0, 2, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 295, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9745, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9747, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ), =( inverse(
% 6.47/6.84 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , clause( 12, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 6.47/6.84 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , 1, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9749, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.84 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9753, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c6',
% 6.47/6.84 multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.84 , clause( 9747, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ), =( inverse(
% 6.47/6.84 'sk_c1' ), 'sk_c7' ) ] )
% 6.47/6.84 , 1, clause( 9749, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.84 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 9762, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c5' ),
% 6.47/6.84 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.84 , clause( 7, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 6.47/6.84 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , 0, clause( 9753, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 6.47/6.84 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.84 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 9782, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( identity,
% 6.47/6.84 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9762, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c5' ),
% 6.47/6.84 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.84 , 2, substitution( 0, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 factor(
% 6.47/6.84 clause( 9903, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( identity,
% 6.47/6.84 'sk_c6' ) ] )
% 6.47/6.84 , clause( 9782, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( identity,
% 6.47/6.85 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.85 , 0, 2, substitution( 0, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 subsumption(
% 6.47/6.85 clause( 296, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( identity,
% 6.47/6.85 'sk_c6' ) ] )
% 6.47/6.85 , clause( 9903, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( identity,
% 6.47/6.85 'sk_c6' ) ] )
% 6.47/6.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.85 ).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 eqswap(
% 6.47/6.85 clause( 9905, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( inverse(
% 6.47/6.85 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.85 , clause( 23, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 6.47/6.85 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.85 , 1, substitution( 0, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 eqswap(
% 6.47/6.85 clause( 9907, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.85 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.85 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 eqswap(
% 6.47/6.85 clause( 9909, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( multiply(
% 6.47/6.85 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.85 , clause( 18, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.47/6.85 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.85 , 1, substitution( 0, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 paramod(
% 6.47/6.85 clause( 9914, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c5',
% 6.47/6.85 multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.85 , clause( 9905, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( inverse(
% 6.47/6.85 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.85 , 1, clause( 9907, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.85 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 paramod(
% 6.47/6.85 clause( 10092, [ =( identity, 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6',
% 6.47/6.85 'sk_c7' ) ), =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.85 , clause( 9909, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( multiply(
% 6.47/6.85 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.85 , 1, clause( 9914, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 6.47/6.85 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.85 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 factor(
% 6.47/6.85 clause( 10093, [ =( identity, 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6',
% 6.47/6.85 'sk_c7' ) ) ] )
% 6.47/6.85 , clause( 10092, [ =( identity, 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6',
% 6.47/6.85 'sk_c7' ) ), =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.85 , 1, 2, substitution( 0, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 paramod(
% 6.47/6.85 clause( 10103, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 6.47/6.85 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.85 , clause( 294, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( identity,
% 6.47/6.85 'sk_c6' ) ] )
% 6.47/6.85 , 1, clause( 10093, [ =( identity, 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6'
% 6.47/6.85 , 'sk_c7' ) ) ] )
% 6.47/6.85 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 eqswap(
% 6.47/6.85 clause( 10169, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( 'sk_c6',
% 6.47/6.85 'sk_c5' ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.85 , clause( 10103, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 6.47/6.85 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 6.47/6.85 , 2, substitution( 0, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 factor(
% 6.47/6.85 clause( 10175, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( 'sk_c6',
% 6.47/6.85 'sk_c5' ) ] )
% 6.47/6.85 , clause( 10169, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( 'sk_c6',
% 6.47/6.85 'sk_c5' ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 6.47/6.85 , 0, 2, substitution( 0, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 subsumption(
% 6.47/6.85 clause( 302, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( 'sk_c6',
% 6.47/6.85 'sk_c5' ) ] )
% 6.47/6.85 , clause( 10175, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ), =( 'sk_c6',
% 6.47/6.85 'sk_c5' ) ] )
% 6.47/6.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.85 ).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 eqswap(
% 6.47/6.85 clause( 10231, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 6.47/6.85 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.85 , clause( 25, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 6.47/6.85 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.85 , 1, substitution( 0, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 eqswap(
% 6.47/6.85 clause( 10233, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.85 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.85 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 eqswap(
% 6.47/6.85 clause( 10235, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( multiply(
% 6.47/6.85 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.85 , clause( 20, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.47/6.85 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.85 , 1, substitution( 0, [] )).
% 6.47/6.85
% 6.47/6.85
% 6.47/6.85 paramod(
% 6.47/6.86 clause( 10240, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c7',
% 6.47/6.86 multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.86 , clause( 10231, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 6.47/6.86 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.86 , 1, clause( 10233, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.86 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 paramod(
% 6.47/6.86 clause( 10418, [ =( identity, 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c3',
% 6.47/6.86 'sk_c6' ) ), =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.86 , clause( 10235, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( multiply(
% 6.47/6.86 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.86 , 1, clause( 10240, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 6.47/6.86 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.86 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 factor(
% 6.47/6.86 clause( 10419, [ =( identity, 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c3',
% 6.47/6.86 'sk_c6' ) ) ] )
% 6.47/6.86 , clause( 10418, [ =( identity, 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c3',
% 6.47/6.86 'sk_c6' ) ), =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.86 , 1, 2, substitution( 0, [] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 paramod(
% 6.47/6.86 clause( 10429, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 6.47/6.86 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.86 , clause( 295, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 6.47/6.86 'sk_c6' ) ] )
% 6.47/6.86 , 1, clause( 10419, [ =( identity, 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c3'
% 6.47/6.86 , 'sk_c6' ) ) ] )
% 6.47/6.86 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 eqswap(
% 6.47/6.86 clause( 10495, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.47/6.86 'sk_c5' ), =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.86 , clause( 10429, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 6.47/6.86 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 6.47/6.86 , 2, substitution( 0, [] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 factor(
% 6.47/6.86 clause( 10501, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.47/6.86 'sk_c5' ) ] )
% 6.47/6.86 , clause( 10495, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.47/6.86 'sk_c5' ), =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 6.47/6.86 , 0, 2, substitution( 0, [] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 subsumption(
% 6.47/6.86 clause( 303, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.47/6.86 'sk_c5' ) ] )
% 6.47/6.86 , clause( 10501, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( 'sk_c6',
% 6.47/6.86 'sk_c5' ) ] )
% 6.47/6.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.86 ).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 eqswap(
% 6.47/6.86 clause( 10557, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ), =( inverse(
% 6.47/6.86 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.86 , clause( 27, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 6.47/6.86 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.86 , 1, substitution( 0, [] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 eqswap(
% 6.47/6.86 clause( 10559, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.86 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.86 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 eqswap(
% 6.47/6.86 clause( 10561, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ), =( multiply(
% 6.47/6.86 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.86 , clause( 22, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 6.47/6.86 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.86 , 1, substitution( 0, [] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 paramod(
% 6.47/6.86 clause( 10566, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c6',
% 6.47/6.86 multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.86 , clause( 10557, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ), =( inverse(
% 6.47/6.86 'sk_c2' ), 'sk_c6' ) ] )
% 6.47/6.86 , 1, clause( 10559, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.86 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 paramod(
% 6.47/6.86 clause( 10744, [ =( identity, 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c4',
% 6.47/6.86 'sk_c5' ) ), =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.86 , clause( 10561, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ), =( multiply(
% 6.47/6.86 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.86 , 1, clause( 10566, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 6.47/6.86 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.86 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 factor(
% 6.47/6.86 clause( 10745, [ =( identity, 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c4',
% 6.47/6.86 'sk_c5' ) ) ] )
% 6.47/6.86 , clause( 10744, [ =( identity, 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c4',
% 6.47/6.86 'sk_c5' ) ), =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.86 , 1, 2, substitution( 0, [] )).
% 6.47/6.86
% 6.47/6.86
% 6.47/6.86 paramod(
% 6.47/6.86 clause( 10755, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c5' ),
% 6.47/6.87 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.87 , clause( 296, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( identity,
% 6.47/6.87 'sk_c6' ) ] )
% 6.47/6.87 , 1, clause( 10745, [ =( identity, 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c4'
% 6.47/6.87 , 'sk_c5' ) ) ] )
% 6.47/6.87 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 eqswap(
% 6.47/6.87 clause( 10821, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( 'sk_c6',
% 6.47/6.87 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.87 , clause( 10755, [ =( 'sk_c6', 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c5' ),
% 6.47/6.87 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c4', 'sk_c5' ) ) ] )
% 6.47/6.87 , 2, substitution( 0, [] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 factor(
% 6.47/6.87 clause( 10827, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( 'sk_c6',
% 6.47/6.87 'sk_c5' ) ] )
% 6.47/6.87 , clause( 10821, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( 'sk_c6',
% 6.47/6.87 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ) ] )
% 6.47/6.87 , 0, 2, substitution( 0, [] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 subsumption(
% 6.47/6.87 clause( 304, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( 'sk_c6',
% 6.47/6.87 'sk_c5' ) ] )
% 6.47/6.87 , clause( 10827, [ =( multiply( 'sk_c4', 'sk_c5' ), 'sk_c6' ), =( 'sk_c6',
% 6.47/6.87 'sk_c5' ) ] )
% 6.47/6.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.87 ).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 eqswap(
% 6.47/6.87 clause( 10887, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' ),
% 6.47/6.87 'sk_c7' ) ] )
% 6.47/6.87 , clause( 9, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 6.47/6.87 'sk_c7' ) ] )
% 6.47/6.87 , 1, substitution( 0, [] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 eqswap(
% 6.47/6.87 clause( 10889, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.87 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.87 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 paramod(
% 6.47/6.87 clause( 10895, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 6.47/6.87 inverse( 'sk_c3' ) ) ] )
% 6.47/6.87 , clause( 10887, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' )
% 6.47/6.87 , 'sk_c7' ) ] )
% 6.47/6.87 , 1, clause( 10889, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.87 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 paramod(
% 6.47/6.87 clause( 10904, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' ),
% 6.47/6.87 =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.87 , clause( 4, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 6.47/6.87 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.87 , 0, clause( 10895, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 6.47/6.87 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.87 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 eqswap(
% 6.47/6.87 clause( 10924, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ),
% 6.47/6.87 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.87 , clause( 10904, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 6.47/6.87 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.87 , 2, substitution( 0, [] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 factor(
% 6.47/6.87 clause( 11047, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 6.47/6.87 )
% 6.47/6.87 , clause( 10924, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' )
% 6.47/6.87 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.87 , 0, 2, substitution( 0, [] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 subsumption(
% 6.47/6.87 clause( 314, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 6.47/6.87 )
% 6.47/6.87 , clause( 11047, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' )
% 6.47/6.87 ] )
% 6.47/6.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.87 ).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 eqswap(
% 6.47/6.87 clause( 11049, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 6.47/6.87 'sk_c7' ) ] )
% 6.47/6.87 , clause( 11, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 6.47/6.87 'sk_c6' ) ] )
% 6.47/6.87 , 1, substitution( 0, [] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 eqswap(
% 6.47/6.87 clause( 11051, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.87 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.87 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 paramod(
% 6.47/6.87 clause( 11057, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c6',
% 6.47/6.87 inverse( 'sk_c4' ) ) ] )
% 6.47/6.87 , clause( 11049, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' )
% 6.47/6.87 , 'sk_c7' ) ] )
% 6.47/6.87 , 1, clause( 11051, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.87 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 6.47/6.87
% 6.47/6.87
% 6.47/6.87 paramod(
% 6.47/6.87 clause( 11066, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ),
% 6.47/6.87 =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.87 , clause( 6, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 6.47/6.87 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.87 , 0, clause( 11057, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 6.47/6.88 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11086, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ),
% 6.47/6.88 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.88 , clause( 11066, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' )
% 6.47/6.88 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 factor(
% 6.47/6.88 clause( 11215, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11086, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' )
% 6.47/6.88 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 316, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11215, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' )
% 6.47/6.88 ] )
% 6.47/6.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.88 ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11217, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c2' ),
% 6.47/6.88 'sk_c6' ) ] )
% 6.47/6.88 , clause( 24, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 6.47/6.88 'sk_c7' ) ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11219, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.88 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11221, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( multiply( 'sk_c2',
% 6.47/6.88 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.88 , clause( 19, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.47/6.88 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11228, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c7',
% 6.47/6.88 inverse( 'sk_c3' ) ) ] )
% 6.47/6.88 , clause( 11217, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c2' )
% 6.47/6.88 , 'sk_c6' ) ] )
% 6.47/6.88 , 1, clause( 11219, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11406, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) ),
% 6.47/6.88 =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.88 , clause( 11221, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( multiply( 'sk_c2',
% 6.47/6.88 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.88 , 1, clause( 11228, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 6.47/6.88 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 factor(
% 6.47/6.88 clause( 11407, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11406, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) )
% 6.47/6.88 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.88 , 1, 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11417, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c3' ), 'sk_c7' ),
% 6.47/6.88 =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.88 , clause( 314, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 1, clause( 11407, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3'
% 6.47/6.88 ) ) ] )
% 6.47/6.88 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11483, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ),
% 6.47/6.88 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.88 , clause( 11417, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 6.47/6.88 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.88 , 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 factor(
% 6.47/6.88 clause( 11489, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11483, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' )
% 6.47/6.88 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 6.47/6.88 , clause( 11489, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.88 ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11545, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' ),
% 6.47/6.88 'sk_c6' ) ] )
% 6.47/6.88 , clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 6.47/6.88 'sk_c6' ) ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11547, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.88 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11549, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 6.47/6.88 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.88 , clause( 21, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 6.47/6.88 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11556, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c6',
% 6.47/6.88 inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , clause( 11545, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' )
% 6.47/6.88 , 'sk_c6' ) ] )
% 6.47/6.88 , 1, clause( 11547, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11734, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) ),
% 6.47/6.88 =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , clause( 11549, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 6.47/6.88 'sk_c6' ), 'sk_c5' ) ] )
% 6.47/6.88 , 1, clause( 11556, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 6.47/6.88 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 factor(
% 6.47/6.88 clause( 11735, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11734, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) )
% 6.47/6.88 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , 1, 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11745, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c4' ), 'sk_c6' ),
% 6.47/6.88 =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , clause( 316, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 1, clause( 11735, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4'
% 6.47/6.88 ) ) ] )
% 6.47/6.88 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11811, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ),
% 6.47/6.88 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.88 , clause( 11745, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c4' ), 'sk_c6' )
% 6.47/6.88 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 factor(
% 6.47/6.88 clause( 11817, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11811, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' )
% 6.47/6.88 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 320, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 6.47/6.88 , clause( 11817, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.88 ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11879, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11882, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) ),
% 6.47/6.88 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.88 , clause( 11879, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( 'sk_c6', 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 314, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6'
% 6.47/6.88 ) ] )
% 6.47/6.88 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11884, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ),
% 6.47/6.88 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.88 , clause( 11882, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) )
% 6.47/6.88 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 factor(
% 6.47/6.88 clause( 11889, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11884, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' )
% 6.47/6.88 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 322, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11889, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.88 ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11893, [ =( 'sk_c5', identity ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 322, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11895, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.88 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11904, [ =( identity, multiply( 'sk_c3', 'sk_c7' ) ), =( 'sk_c5',
% 6.47/6.88 identity ) ] )
% 6.47/6.88 , clause( 11893, [ =( 'sk_c5', identity ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 11895, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 6.47/6.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11906, [ =( identity, 'sk_c5' ), =( identity, multiply( 'sk_c3',
% 6.47/6.88 'sk_c7' ) ) ] )
% 6.47/6.88 , clause( 11904, [ =( identity, multiply( 'sk_c3', 'sk_c7' ) ), =( 'sk_c5'
% 6.47/6.88 , identity ) ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11907, [ =( multiply( 'sk_c3', 'sk_c7' ), identity ), =( identity,
% 6.47/6.88 'sk_c5' ) ] )
% 6.47/6.88 , clause( 11906, [ =( identity, 'sk_c5' ), =( identity, multiply( 'sk_c3',
% 6.47/6.88 'sk_c7' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 323, [ =( multiply( 'sk_c3', 'sk_c7' ), identity ), =( identity,
% 6.47/6.88 'sk_c5' ) ] )
% 6.47/6.88 , clause( 11907, [ =( multiply( 'sk_c3', 'sk_c7' ), identity ), =( identity
% 6.47/6.88 , 'sk_c5' ) ] )
% 6.47/6.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.88 ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11909, [ =( 'sk_c5', identity ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 322, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11911, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.47/6.88 , clause( 264, [ =( inverse( inverse( X ) ), X ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11912, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c5', identity ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11909, [ =( 'sk_c5', identity ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 11911, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.47/6.88 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11914, [ =( identity, 'sk_c5' ), =( 'sk_c3', inverse( 'sk_c7' ) ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11912, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c5', identity )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11915, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11914, [ =( identity, 'sk_c5' ), =( 'sk_c3', inverse( 'sk_c7' ) )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 324, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 11915, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.88 ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11916, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 322, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11919, [ =( X, multiply( X, identity ) ) ] )
% 6.47/6.88 , clause( 233, [ =( multiply( X, identity ), X ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11920, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c7', inverse(
% 6.47/6.88 'sk_c3' ) ) ] )
% 6.47/6.88 , clause( 11916, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 11919, [ =( X, multiply( X, identity ) ) ] )
% 6.47/6.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11922, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( X, multiply( X,
% 6.47/6.88 'sk_c5' ) ) ] )
% 6.47/6.88 , clause( 11920, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c7', inverse(
% 6.47/6.88 'sk_c3' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11923, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 6.47/6.88 'sk_c7' ) ] )
% 6.47/6.88 , clause( 11922, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( X, multiply( X,
% 6.47/6.88 'sk_c5' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 325, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 6.47/6.88 'sk_c7' ) ] )
% 6.47/6.88 , clause( 11923, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 6.47/6.88 'sk_c7' ) ] )
% 6.47/6.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.47/6.88 1 )] ) ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11924, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 322, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11927, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 6.47/6.88 , clause( 131, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11929, [ =( X, multiply( inverse( inverse( 'sk_c5' ) ), X ) ), =(
% 6.47/6.88 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.88 , clause( 11924, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 11927, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 6.47/6.88 ] )
% 6.47/6.88 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11930, [ =( X, multiply( 'sk_c5', X ) ), =( 'sk_c7', inverse(
% 6.47/6.88 'sk_c3' ) ) ] )
% 6.47/6.88 , clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.88 ) ) ] )
% 6.47/6.88 , 0, clause( 11929, [ =( X, multiply( inverse( inverse( 'sk_c5' ) ), X ) )
% 6.47/6.88 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [ :=( X, 'sk_c5' ), :=( Y, X )] ), substitution( 1
% 6.47/6.88 , [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11932, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( X, multiply( 'sk_c5'
% 6.47/6.88 , X ) ) ] )
% 6.47/6.88 , clause( 11930, [ =( X, multiply( 'sk_c5', X ) ), =( 'sk_c7', inverse(
% 6.47/6.88 'sk_c3' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11933, [ =( multiply( 'sk_c5', X ), X ), =( inverse( 'sk_c3' ),
% 6.47/6.88 'sk_c7' ) ] )
% 6.47/6.88 , clause( 11932, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( X, multiply(
% 6.47/6.88 'sk_c5', X ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 328, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( multiply( 'sk_c5', X )
% 6.47/6.88 , X ) ] )
% 6.47/6.88 , clause( 11933, [ =( multiply( 'sk_c5', X ), X ), =( inverse( 'sk_c3' ),
% 6.47/6.88 'sk_c7' ) ] )
% 6.47/6.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.47/6.88 0 )] ) ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11934, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 324, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11937, [ =( X, multiply( X, identity ) ) ] )
% 6.47/6.88 , clause( 233, [ =( multiply( X, identity ), X ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11938, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c3', inverse(
% 6.47/6.88 'sk_c7' ) ) ] )
% 6.47/6.88 , clause( 11934, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 11937, [ =( X, multiply( X, identity ) ) ] )
% 6.47/6.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11940, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( X, multiply( X,
% 6.47/6.88 'sk_c5' ) ) ] )
% 6.47/6.88 , clause( 11938, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c3', inverse(
% 6.47/6.88 'sk_c7' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11941, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ) ] )
% 6.47/6.88 , clause( 11940, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( X, multiply( X,
% 6.47/6.88 'sk_c5' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 329, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ) ] )
% 6.47/6.88 , clause( 11941, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ) ] )
% 6.47/6.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.47/6.88 1 )] ) ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 11945, [ =( identity, inverse( identity ) ) ] )
% 6.47/6.88 , clause( 200, [ =( inverse( identity ), identity ) ] )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11971, [ =( identity, inverse( 'sk_c5' ) ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ) ] )
% 6.47/6.88 , clause( 324, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 1, clause( 11945, [ =( identity, inverse( identity ) ) ] )
% 6.47/6.88 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 11973, [ =( 'sk_c5', inverse( 'sk_c5' ) ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ), =( inverse( 'sk_c7' ), 'sk_c3' ) ] )
% 6.47/6.88 , clause( 324, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 1, clause( 11971, [ =( identity, inverse( 'sk_c5' ) ), =( inverse(
% 6.47/6.88 'sk_c7' ), 'sk_c3' ) ] )
% 6.47/6.88 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12036, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ), =( inverse( 'sk_c7' ), 'sk_c3' ) ] )
% 6.47/6.88 , clause( 11973, [ =( 'sk_c5', inverse( 'sk_c5' ) ), =( inverse( 'sk_c7' )
% 6.47/6.88 , 'sk_c3' ), =( inverse( 'sk_c7' ), 'sk_c3' ) ] )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 factor(
% 6.47/6.88 clause( 12040, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ) ] )
% 6.47/6.88 , clause( 12036, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' )
% 6.47/6.88 , 'sk_c3' ), =( inverse( 'sk_c7' ), 'sk_c3' ) ] )
% 6.47/6.88 , 1, 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 331, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ) ] )
% 6.47/6.88 , clause( 12040, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c7' )
% 6.47/6.88 , 'sk_c3' ) ] )
% 6.47/6.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.88 ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12088, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 324, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12091, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 6.47/6.88 , clause( 131, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 12093, [ =( X, multiply( inverse( inverse( 'sk_c5' ) ), X ) ), =(
% 6.47/6.88 'sk_c3', inverse( 'sk_c7' ) ) ] )
% 6.47/6.88 , clause( 12088, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 12091, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 6.47/6.88 ] )
% 6.47/6.88 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 12094, [ =( X, multiply( 'sk_c5', X ) ), =( 'sk_c3', inverse(
% 6.47/6.88 'sk_c7' ) ) ] )
% 6.47/6.88 , clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.88 ) ) ] )
% 6.47/6.88 , 0, clause( 12093, [ =( X, multiply( inverse( inverse( 'sk_c5' ) ), X ) )
% 6.47/6.88 , =( 'sk_c3', inverse( 'sk_c7' ) ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [ :=( X, 'sk_c5' ), :=( Y, X )] ), substitution( 1
% 6.47/6.88 , [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12096, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( X, multiply( 'sk_c5'
% 6.47/6.88 , X ) ) ] )
% 6.47/6.88 , clause( 12094, [ =( X, multiply( 'sk_c5', X ) ), =( 'sk_c3', inverse(
% 6.47/6.88 'sk_c7' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12097, [ =( multiply( 'sk_c5', X ), X ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ) ] )
% 6.47/6.88 , clause( 12096, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( X, multiply(
% 6.47/6.88 'sk_c5', X ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 332, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( multiply( 'sk_c5', X )
% 6.47/6.88 , X ) ] )
% 6.47/6.88 , clause( 12097, [ =( multiply( 'sk_c5', X ), X ), =( inverse( 'sk_c7' ),
% 6.47/6.88 'sk_c3' ) ] )
% 6.47/6.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.47/6.88 0 )] ) ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12101, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 320, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 12105, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) ),
% 6.47/6.88 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.88 , clause( 12101, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 316, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6'
% 6.47/6.88 ) ] )
% 6.47/6.88 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12162, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ),
% 6.47/6.88 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.88 , clause( 12105, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) )
% 6.47/6.88 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 factor(
% 6.47/6.88 clause( 12167, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 12162, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' )
% 6.47/6.88 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 333, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 12167, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.88 ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12171, [ =( 'sk_c5', identity ), =( inverse( 'sk_c4' ), 'sk_c6' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 333, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12173, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.47/6.88 , clause( 264, [ =( inverse( inverse( X ) ), X ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 12174, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c5', identity ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 12171, [ =( 'sk_c5', identity ), =( inverse( 'sk_c4' ), 'sk_c6' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 12173, [ =( X, inverse( inverse( X ) ) ) ] )
% 6.47/6.88 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12176, [ =( identity, 'sk_c5' ), =( 'sk_c4', inverse( 'sk_c6' ) ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 12174, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c5', identity )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12177, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 12176, [ =( identity, 'sk_c5' ), =( 'sk_c4', inverse( 'sk_c6' ) )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 335, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 12177, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.47/6.88 ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12178, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 333, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12181, [ =( X, multiply( X, identity ) ) ] )
% 6.47/6.88 , clause( 233, [ =( multiply( X, identity ), X ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 12182, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c6', inverse(
% 6.47/6.88 'sk_c4' ) ) ] )
% 6.47/6.88 , clause( 12178, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 12181, [ =( X, multiply( X, identity ) ) ] )
% 6.47/6.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12184, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( X, multiply( X,
% 6.47/6.88 'sk_c5' ) ) ] )
% 6.47/6.88 , clause( 12182, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c6', inverse(
% 6.47/6.88 'sk_c4' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12185, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 6.47/6.88 'sk_c6' ) ] )
% 6.47/6.88 , clause( 12184, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( X, multiply( X,
% 6.47/6.88 'sk_c5' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 336, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 6.47/6.88 'sk_c6' ) ] )
% 6.47/6.88 , clause( 12185, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 6.47/6.88 'sk_c6' ) ] )
% 6.47/6.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.47/6.88 1 )] ) ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12186, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , clause( 333, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 6.47/6.88 )
% 6.47/6.88 , 0, substitution( 0, [] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12189, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 6.47/6.88 , clause( 131, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 6.47/6.88 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 12191, [ =( X, multiply( inverse( inverse( 'sk_c5' ) ), X ) ), =(
% 6.47/6.88 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , clause( 12186, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( identity, 'sk_c5' )
% 6.47/6.88 ] )
% 6.47/6.88 , 1, clause( 12189, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 6.47/6.88 ] )
% 6.47/6.88 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 paramod(
% 6.47/6.88 clause( 12192, [ =( X, multiply( 'sk_c5', X ) ), =( 'sk_c6', inverse(
% 6.47/6.88 'sk_c4' ) ) ] )
% 6.47/6.88 , clause( 204, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 6.47/6.88 ) ) ] )
% 6.47/6.88 , 0, clause( 12191, [ =( X, multiply( inverse( inverse( 'sk_c5' ) ), X ) )
% 6.47/6.88 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 6.47/6.88 , 0, 2, substitution( 0, [ :=( X, 'sk_c5' ), :=( Y, X )] ), substitution( 1
% 6.47/6.88 , [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12194, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( X, multiply( 'sk_c5'
% 6.47/6.88 , X ) ) ] )
% 6.47/6.88 , clause( 12192, [ =( X, multiply( 'sk_c5', X ) ), =( 'sk_c6', inverse(
% 6.47/6.88 'sk_c4' ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 6.47/6.88 clause( 12195, [ =( multiply( 'sk_c5', X ), X ), =( inverse( 'sk_c4' ),
% 6.47/6.88 'sk_c6' ) ] )
% 6.47/6.88 , clause( 12194, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( X, multiply(
% 6.47/6.88 'sk_c5', X ) ) ] )
% 6.47/6.88 , 1, substitution( 0, [ :=( X, X )] )).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 subsumption(
% 6.47/6.88 clause( 339, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( multiply( 'sk_c5', X )
% 6.47/6.88 , X ) ] )
% 6.47/6.88 , clause( 12195, [ =( multiply( 'sk_c5', X ), X ), =( inverse( 'sk_c4' ),
% 6.47/6.88 'sk_c6' ) ] )
% 6.47/6.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.47/6.88 0 )] ) ).
% 6.47/6.88
% 6.47/6.88
% 6.47/6.88 eqswap(
% 279.04/279.56 clause( 12197, [ =( 'sk_c5', 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 279.04/279.56 )
% 279.04/279.56 , clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 279.04/279.56 )
% 279.04/279.56 , 1, substitution( 0, [] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12199, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 279.04/279.56 , clause( 263, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 279.04/279.56 , 0, substitution( 0, [ :=( X, X )] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 paramod(
% 279.04/279.56 clause( 12200, [ =( identity, multiply( 'sk_c3', 'sk_c7' ) ), =( 'sk_c5',
% 279.04/279.56 'sk_c6' ) ] )
% 279.04/279.56 , clause( 12197, [ =( 'sk_c5', 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 279.04/279.56 ] )
% 279.04/279.56 , 1, clause( 12199, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 279.04/279.56 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12202, [ =( 'sk_c6', 'sk_c5' ), =( identity, multiply( 'sk_c3',
% 279.04/279.56 'sk_c7' ) ) ] )
% 279.04/279.56 , clause( 12200, [ =( identity, multiply( 'sk_c3', 'sk_c7' ) ), =( 'sk_c5'
% 279.04/279.56 , 'sk_c6' ) ] )
% 279.04/279.56 , 1, substitution( 0, [] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12203, [ =( multiply( 'sk_c3', 'sk_c7' ), identity ), =( 'sk_c6',
% 279.04/279.56 'sk_c5' ) ] )
% 279.04/279.56 , clause( 12202, [ =( 'sk_c6', 'sk_c5' ), =( identity, multiply( 'sk_c3',
% 279.04/279.56 'sk_c7' ) ) ] )
% 279.04/279.56 , 1, substitution( 0, [] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 subsumption(
% 279.04/279.56 clause( 344, [ =( multiply( 'sk_c3', 'sk_c7' ), identity ), =( 'sk_c6',
% 279.04/279.56 'sk_c5' ) ] )
% 279.04/279.56 , clause( 12203, [ =( multiply( 'sk_c3', 'sk_c7' ), identity ), =( 'sk_c6'
% 279.04/279.56 , 'sk_c5' ) ] )
% 279.04/279.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 279.04/279.56 ).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12205, [ =( 'sk_c5', 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 279.04/279.56 )
% 279.04/279.56 , clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 279.04/279.56 )
% 279.04/279.56 , 1, substitution( 0, [] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12207, [ =( X, inverse( inverse( X ) ) ) ] )
% 279.04/279.56 , clause( 264, [ =( inverse( inverse( X ) ), X ) ] )
% 279.04/279.56 , 0, substitution( 0, [ :=( X, X )] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 paramod(
% 279.04/279.56 clause( 12208, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c5', 'sk_c6' ) ]
% 279.04/279.56 )
% 279.04/279.56 , clause( 12205, [ =( 'sk_c5', 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 279.04/279.56 ] )
% 279.04/279.56 , 1, clause( 12207, [ =( X, inverse( inverse( X ) ) ) ] )
% 279.04/279.56 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12210, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c3', inverse( 'sk_c7' ) ) ]
% 279.04/279.56 )
% 279.04/279.56 , clause( 12208, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c5', 'sk_c6' )
% 279.04/279.56 ] )
% 279.04/279.56 , 1, substitution( 0, [] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12211, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( 'sk_c6', 'sk_c5' ) ]
% 279.04/279.56 )
% 279.04/279.56 , clause( 12210, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c3', inverse( 'sk_c7' ) )
% 279.04/279.56 ] )
% 279.04/279.56 , 1, substitution( 0, [] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 subsumption(
% 279.04/279.56 clause( 345, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( 'sk_c6', 'sk_c5' ) ] )
% 279.04/279.56 , clause( 12211, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( 'sk_c6', 'sk_c5' )
% 279.04/279.56 ] )
% 279.04/279.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 279.04/279.56 ).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12212, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 279.04/279.56 )
% 279.04/279.56 , clause( 318, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 279.04/279.56 )
% 279.04/279.56 , 0, substitution( 0, [] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12215, [ =( identity, multiply( 'sk_c6', 'sk_c4' ) ), =( multiply(
% 279.04/279.56 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 279.04/279.56 , clause( 72, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 279.04/279.56 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 279.04/279.56 , 0, substitution( 0, [] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12218, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( multiply( 'sk_c5', X
% 279.04/279.56 ), X ) ] )
% 279.04/279.56 , clause( 328, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( multiply( 'sk_c5', X
% 279.04/279.56 ), X ) ] )
% 279.04/279.56 , 0, substitution( 0, [ :=( X, X )] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 eqswap(
% 279.04/279.56 clause( 12222, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( multiply( X, 'sk_c5'
% 279.04/279.56 ), X ) ] )
% 279.04/279.56 , clause( 325, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 279.04/279.56 'sk_c7' ) ] )
% 279.04/279.56 , 1, substitution( 0, [ :=( X, X )] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 paramod(
% 279.04/279.56 clause( 12228, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c5' ), =( 'sk_c7',
% 279.04/279.56 inverse( 'sk_c3' ) ), =( identity, multiply( 'sk_c6', 'sk_c4' ) ) ] )
% 279.04/279.56 , clause( 12212, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( 'sk_c6', 'sk_c5' )
% 279.04/279.56 ] )
% 279.04/279.56 , 1, clause( 12215, [ =( identity, multiply( 'sk_c6', 'sk_c4' ) ), =(
% 279.04/279.56 multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 279.04/279.56 , 1, 4, substitution( 0, [] ), substitution( 1, [] )).
% 279.04/279.56
% 279.04/279.56
% 279.04/279.56 paramod(
% 279.04/279.56 clause( 12229, [ =( identity, multiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------