TSTP Solution File: GRP278-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP278-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 07:36:21 EDT 2022
% Result : Unsatisfiable 1.16s 1.53s
% Output : Refutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP278-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 00:49:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.16/1.53 *** allocated 10000 integers for termspace/termends
% 1.16/1.53 *** allocated 10000 integers for clauses
% 1.16/1.53 *** allocated 10000 integers for justifications
% 1.16/1.53 Bliksem 1.12
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Automatic Strategy Selection
% 1.16/1.53
% 1.16/1.53 Clauses:
% 1.16/1.53 [
% 1.16/1.53 [ =( multiply( identity, X ), X ) ],
% 1.16/1.53 [ =( multiply( inverse( X ), X ), identity ) ],
% 1.16/1.53 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 1.16/1.53 'sk_c6' ), 'sk_c4' ) ],
% 1.16/1.53 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 1.16/1.53 'sk_c6' ) ],
% 1.16/1.53 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ],
% 1.16/1.53 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 1.16/1.53 'sk_c5' ) ],
% 1.16/1.53 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ],
% 1.16/1.53 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5', 'sk_c6' ),
% 1.16/1.53 'sk_c4' ) ],
% 1.16/1.53 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ), 'sk_c6' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c2', 'sk_c5' ),
% 1.16/1.53 'sk_c6' ) ],
% 1.16/1.53 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c5' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ),
% 1.16/1.53 'sk_c5' ) ],
% 1.16/1.53 [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c5', 'sk_c6' ),
% 1.16/1.53 'sk_c4' ) ],
% 1.16/1.53 [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c2' ), 'sk_c6' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c2', 'sk_c5' ),
% 1.16/1.53 'sk_c6' ) ],
% 1.16/1.53 [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c3' ), 'sk_c5' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c3', 'sk_c4' ),
% 1.16/1.53 'sk_c5' ) ],
% 1.16/1.53 [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 1.16/1.53 'sk_c6' ), 'sk_c4' ) ],
% 1.16/1.53 [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 1.16/1.53 'sk_c6' ) ],
% 1.16/1.53 [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ],
% 1.16/1.53 [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 1.16/1.53 'sk_c5' ) ],
% 1.16/1.53 [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ],
% 1.16/1.53 [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6'
% 1.16/1.53 ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c6',
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c4' ) ),
% 1.16/1.53 ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5' ), 'sk_c6' )
% 1.16/1.53 ), ~( =( inverse( Z ), 'sk_c5' ) ), ~( =( multiply( Z, 'sk_c4' ),
% 1.16/1.53 'sk_c5' ) ) ]
% 1.16/1.53 ] .
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 percentage equality = 1.000000, percentage horn = 0.166667
% 1.16/1.53 This is a pure equality problem
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Options Used:
% 1.16/1.53
% 1.16/1.53 useres = 1
% 1.16/1.53 useparamod = 1
% 1.16/1.53 useeqrefl = 1
% 1.16/1.53 useeqfact = 1
% 1.16/1.53 usefactor = 1
% 1.16/1.53 usesimpsplitting = 0
% 1.16/1.53 usesimpdemod = 5
% 1.16/1.53 usesimpres = 3
% 1.16/1.53
% 1.16/1.53 resimpinuse = 1000
% 1.16/1.53 resimpclauses = 20000
% 1.16/1.53 substype = eqrewr
% 1.16/1.53 backwardsubs = 1
% 1.16/1.53 selectoldest = 5
% 1.16/1.53
% 1.16/1.53 litorderings [0] = split
% 1.16/1.53 litorderings [1] = extend the termordering, first sorting on arguments
% 1.16/1.53
% 1.16/1.53 termordering = kbo
% 1.16/1.53
% 1.16/1.53 litapriori = 0
% 1.16/1.53 termapriori = 1
% 1.16/1.53 litaposteriori = 0
% 1.16/1.53 termaposteriori = 0
% 1.16/1.53 demodaposteriori = 0
% 1.16/1.53 ordereqreflfact = 0
% 1.16/1.53
% 1.16/1.53 litselect = negord
% 1.16/1.53
% 1.16/1.53 maxweight = 15
% 1.16/1.53 maxdepth = 30000
% 1.16/1.53 maxlength = 115
% 1.16/1.53 maxnrvars = 195
% 1.16/1.53 excuselevel = 1
% 1.16/1.53 increasemaxweight = 1
% 1.16/1.53
% 1.16/1.53 maxselected = 10000000
% 1.16/1.53 maxnrclauses = 10000000
% 1.16/1.53
% 1.16/1.53 showgenerated = 0
% 1.16/1.53 showkept = 0
% 1.16/1.53 showselected = 0
% 1.16/1.53 showdeleted = 0
% 1.16/1.53 showresimp = 1
% 1.16/1.53 showstatus = 2000
% 1.16/1.53
% 1.16/1.53 prologoutput = 1
% 1.16/1.53 nrgoals = 5000000
% 1.16/1.53 totalproof = 1
% 1.16/1.53
% 1.16/1.53 Symbols occurring in the translation:
% 1.16/1.53
% 1.16/1.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.16/1.53 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 1.16/1.53 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 1.16/1.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.16/1.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.16/1.53 identity [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.16/1.53 multiply [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 1.16/1.53 inverse [42, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.16/1.53 'sk_c1' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 1.16/1.53 'sk_c6' [46, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.16/1.53 'sk_c5' [47, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.16/1.53 'sk_c4' [48, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.16/1.53 'sk_c2' [49, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.16/1.53 'sk_c3' [50, 0] (w:1, o:6, a:1, s:1, b:0).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Starting Search:
% 1.16/1.53
% 1.16/1.53 Resimplifying inuse:
% 1.16/1.53 Done
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Bliksems!, er is een bewijs:
% 1.16/1.53 % SZS status Unsatisfiable
% 1.16/1.53 % SZS output start Refutation
% 1.16/1.53
% 1.16/1.53 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.16/1.53 , Z ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 3, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 4, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c2' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 5, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 6, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 7, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 1.16/1.53 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 9, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 10, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 11, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 12, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 13, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 1.16/1.53 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 14, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 15, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 16, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 17, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 18, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 19, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c2' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 20, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 21, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 23, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X )
% 1.16/1.53 , 'sk_c6' ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply(
% 1.16/1.53 'sk_c6', 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 1.16/1.53 'sk_c4' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5'
% 1.16/1.53 ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c5' ) ), ~( =( multiply( Z,
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 26, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X )
% 1.16/1.53 , 'sk_c6' ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply(
% 1.16/1.53 'sk_c6', 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 1.16/1.53 'sk_c4' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5'
% 1.16/1.53 ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c5' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 27, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 1.16/1.53 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 29, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 1.16/1.53 'sk_c2' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 33, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 1.16/1.53 , identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 34, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 1.16/1.53 identity ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 35, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 1.16/1.53 ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 37, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( inverse(
% 1.16/1.53 'sk_c1' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 44, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c6' ), multiply( X,
% 1.16/1.53 'sk_c4' ) ), =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 46, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c4' ), multiply( X,
% 1.16/1.53 identity ) ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 49, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c4' ), multiply( X,
% 1.16/1.53 identity ) ), =( inverse( 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 52, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 1.16/1.53 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 54, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X,
% 1.16/1.53 'sk_c5' ) ), =( inverse( 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 55, [ =( multiply( 'sk_c5', 'sk_c3' ), identity ), =( multiply(
% 1.16/1.53 'sk_c6', 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 56, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X,
% 1.16/1.53 'sk_c5' ) ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 59, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( multiply(
% 1.16/1.53 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 64, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c6' ), multiply( X,
% 1.16/1.53 'sk_c4' ) ), =( inverse( 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 69, [ =( multiply( 'sk_c6', 'sk_c1' ), identity ), =( multiply(
% 1.16/1.53 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 74, [ =( multiply( inverse( identity ), X ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 75, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 1.16/1.53 multiply( Y, X ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 83, [ =( multiply( multiply( X, 'sk_c2' ), 'sk_c5' ), multiply( X,
% 1.16/1.53 'sk_c6' ) ), =( multiply( 'sk_c6', 'sk_c1' ), identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 112, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 114, [ =( inverse( identity ), identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 118, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X
% 1.16/1.53 ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 1.16/1.53 inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5' ), 'sk_c6' ) ), ~(
% 1.16/1.53 =( inverse( 'sk_c6' ), 'sk_c5' ) ), =( multiply( 'sk_c2', 'sk_c5' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 158, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 159, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 1.16/1.53 ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 186, [ =( multiply( X, identity ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 188, [ =( multiply( inverse( 'sk_c5' ), X ), multiply( 'sk_c3', X )
% 1.16/1.53 ), =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 214, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 215, [ =( inverse( inverse( X ) ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 216, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 218, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( multiply( 'sk_c1',
% 1.16/1.53 'sk_c6' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 219, [ =( inverse( 'sk_c6' ), 'sk_c1' ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 221, [ =( inverse( 'sk_c5' ), 'sk_c4' ), =( multiply( 'sk_c5',
% 1.16/1.53 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 222, [ =( inverse( 'sk_c5' ), 'sk_c4' ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 223, [ =( inverse( 'sk_c5' ), 'sk_c4' ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 225, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( multiply( 'sk_c6',
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 235, [ =( inverse( 'sk_c6' ), 'sk_c1' ), =( inverse( 'sk_c2' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 236, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( inverse( 'sk_c1' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 237, [ =( inverse( 'sk_c6' ), 'sk_c1' ), =( inverse( 'sk_c3' ),
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 238, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( inverse( 'sk_c1' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 239, [ =( inverse( 'sk_c5' ), 'sk_c4' ), =( inverse( 'sk_c2' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 241, [ =( inverse( 'sk_c5' ), 'sk_c4' ), =( inverse( 'sk_c3' ),
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 242, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( inverse( 'sk_c4' ),
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 243, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c4' ), =( identity,
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 245, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( identity,
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 246, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c5' ), =( identity,
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 259, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( identity,
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 261, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 263, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( identity, 'sk_c5' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 268, [ =( multiply( 'sk_c3', 'sk_c5' ), identity ), =( inverse(
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 269, [ =( multiply( 'sk_c2', 'sk_c6' ), identity ), =( identity,
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 270, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( identity, 'sk_c5' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 271, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c2' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 273, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( 'sk_c5', 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 282, [ =( multiply( 'sk_c2', 'sk_c6' ), identity ), =( 'sk_c5',
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 283, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( 'sk_c5', 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 285, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( 'sk_c5',
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 293, [ =( multiply( 'sk_c3', 'sk_c5' ), identity ), =( identity,
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 294, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 295, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c3' ),
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 297, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( 'sk_c5', 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 300, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c5' ),
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 302, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c5' ),
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 303, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( multiply( 'sk_c5', X )
% 1.16/1.53 , X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 304, [ ~( =( 'sk_c5', 'sk_c3' ) ), =( inverse( 'sk_c5' ), 'sk_c3' )
% 1.16/1.53 ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 305, [ ~( =( 'sk_c5', 'sk_c3' ) ), =( 'sk_c5', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 333, [ ~( =( 'sk_c5', 'sk_c3' ) ), =( inverse( 'sk_c3' ), 'sk_c3' )
% 1.16/1.53 ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 336, [ =( multiply( 'sk_c3', 'sk_c3' ), identity ), ~( =( 'sk_c5',
% 1.16/1.53 'sk_c3' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 339, [ =( multiply( 'sk_c3', 'sk_c5' ), identity ), =( 'sk_c5',
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 340, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( 'sk_c5', 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 342, [ =( multiply( 'sk_c5', 'sk_c3' ), identity ), =( 'sk_c5',
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 374, [ =( multiply( 'sk_c3', 'sk_c5' ), identity ), =( identity,
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 396, [ =( multiply( 'sk_c2', 'sk_c6' ), identity ), =( identity,
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 414, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c4' ), =( 'sk_c5',
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 416, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c4' ), =( multiply(
% 1.16/1.53 multiply( X, 'sk_c4' ), Y ), multiply( X, Y ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 426, [ =( multiply( X, 'sk_c5' ), X ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 427, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( 'sk_c5',
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 429, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 1.16/1.53 multiply( X, 'sk_c4' ), Y ), multiply( X, Y ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 431, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( multiply( 'sk_c2', 'sk_c5' )
% 1.16/1.53 , 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 432, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( 'sk_c2', 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 449, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( identity,
% 1.16/1.53 'sk_c4' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 450, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( 'sk_c5',
% 1.16/1.53 'sk_c4' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 457, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( 'sk_c6',
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 460, [ =( identity, 'sk_c4' ), =( multiply( 'sk_c1', 'sk_c6' ),
% 1.16/1.53 'sk_c5' ), =( identity, 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 462, [ =( 'sk_c5', 'sk_c4' ), =( multiply( 'sk_c1', 'sk_c6' ),
% 1.16/1.53 'sk_c5' ), =( identity, 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 472, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( identity,
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 474, [ =( identity, 'sk_c5' ), =( multiply( multiply( 'sk_c3',
% 1.16/1.53 'sk_c1' ), 'sk_c6' ), identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 476, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( 'sk_c5',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 477, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c3', X ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 478, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 multiply( X, 'sk_c3' ), Y ), multiply( X, Y ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 489, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( multiply( 'sk_c6', 'sk_c5' )
% 1.16/1.53 , 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 494, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( identity, 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 499, [ =( multiply( X, 'sk_c5' ), X ), ~( =( 'sk_c2', 'sk_c6' ) ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 500, [ =( inverse( 'sk_c5' ), 'sk_c5' ), ~( =( 'sk_c2', 'sk_c6' ) )
% 1.16/1.53 ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 501, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( multiply( 'sk_c5', X ), X ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 502, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( 'sk_c5', 'sk_c4' ), =(
% 1.16/1.53 'sk_c5', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 505, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( X, 'sk_c4' )
% 1.16/1.53 , X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 507, [ =( multiply( X, 'sk_c4' ), X ), ~( =( 'sk_c2', 'sk_c6' ) ),
% 1.16/1.53 =( 'sk_c6', 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 509, [ =( multiply( X, 'sk_c4' ), X ), ~( =( 'sk_c2', 'sk_c6' ) ),
% 1.16/1.53 =( 'sk_c5', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 514, [ =( 'sk_c6', 'sk_c4' ), =( 'sk_c5', 'sk_c4' ), ~( =( 'sk_c2'
% 1.16/1.53 , 'sk_c6' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 521, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( 'sk_c6', 'sk_c4' ), =(
% 1.16/1.53 'sk_c4', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 524, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( 'sk_c6', 'sk_c4' ), =(
% 1.16/1.53 'sk_c6', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 531, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( 'sk_c6', 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 555, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c5' ), =( 'sk_c5',
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 557, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 multiply( X, 'sk_c4' ), Y ), multiply( X, Y ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 571, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( multiply( X, 'sk_c4' )
% 1.16/1.53 , X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 575, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( identity,
% 1.16/1.53 'sk_c4' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 582, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( inverse( 'sk_c6' ),
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 584, [ ~( =( 'sk_c2', 'sk_c1' ) ), =( inverse( 'sk_c6' ), 'sk_c1' )
% 1.16/1.53 ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 585, [ ~( =( 'sk_c2', 'sk_c1' ) ), =( 'sk_c2', 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 610, [ =( inverse( 'sk_c1' ), 'sk_c6' ), ~( =( 'sk_c2', 'sk_c1' ) )
% 1.16/1.53 ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 612, [ =( multiply( 'sk_c1', 'sk_c6' ), identity ), ~( =( 'sk_c2',
% 1.16/1.53 'sk_c1' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 620, [ =( identity, 'sk_c5' ), ~( =( 'sk_c2', 'sk_c1' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 622, [ =( multiply( X, 'sk_c5' ), X ), ~( =( 'sk_c2', 'sk_c1' ) ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 623, [ =( inverse( 'sk_c5' ), 'sk_c5' ), ~( =( 'sk_c2', 'sk_c1' ) )
% 1.16/1.53 ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 624, [ ~( =( 'sk_c2', 'sk_c1' ) ), =( multiply( 'sk_c5', X ), X ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 625, [ ~( =( 'sk_c2', 'sk_c1' ) ), =( 'sk_c5', 'sk_c4' ), =(
% 1.16/1.53 'sk_c6', 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 647, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( multiply( X, 'sk_c6' )
% 1.16/1.53 , X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 657, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( X, 'sk_c6' )
% 1.16/1.53 , X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 662, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 666, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( 'sk_c4', 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 707, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( 'sk_c6', 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 718, [ ~( =( 'sk_c2', 'sk_c1' ) ), =( 'sk_c6', 'sk_c1' ), =(
% 1.16/1.53 'sk_c4', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 756, [ =( inverse( 'sk_c5' ), 'sk_c3' ), =( inverse( 'sk_c1' ),
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 757, [ =( inverse( 'sk_c5' ), 'sk_c3' ), ~( =( inverse( X ),
% 1.16/1.53 'sk_c1' ) ), ~( =( X, 'sk_c1' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 762, [ =( inverse( 'sk_c5' ), 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 774, [ =( 'sk_c5', 'sk_c3' ), ~( =( 'sk_c2', 'sk_c1' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 776, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( 'sk_c4',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 777, [ =( 'sk_c5', 'sk_c3' ), ~( =( 'sk_c2', 'sk_c6' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 778, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c4' ), =( 'sk_c4',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 787, [ =( inverse( 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 788, [ =( multiply( multiply( X, 'sk_c3' ), 'sk_c5' ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 789, [ =( multiply( 'sk_c3', 'sk_c5' ), identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 790, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c3' ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 795, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 809, [ =( multiply( X, 'sk_c3' ), X ), ~( =( 'sk_c2', 'sk_c1' ) ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 815, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( multiply( 'sk_c3', X ), X ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 817, [ ~( =( 'sk_c2', 'sk_c6' ) ), =( 'sk_c4', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 818, [ =( 'sk_c4', 'sk_c3' ), ~( =( 'sk_c2', 'sk_c1' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 819, [ ~( =( 'sk_c2', 'sk_c1' ) ), =( 'sk_c6', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 827, [ ~( =( 'sk_c2', 'sk_c1' ) ), =( 'sk_c3', 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 842, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c4', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 859, [ =( identity, 'sk_c4' ), =( 'sk_c4', 'sk_c3' ), =( identity,
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 861, [ =( 'sk_c5', 'sk_c4' ), =( 'sk_c4', 'sk_c3' ), =( identity,
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 875, [ =( 'sk_c4', 'sk_c3' ), =( identity, 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 890, [ =( 'sk_c4', 'sk_c3' ), =( 'sk_c5', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 891, [ =( 'sk_c4', 'sk_c3' ), =( multiply( 'sk_c3', X ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 896, [ =( multiply( 'sk_c3', 'sk_c3' ), 'sk_c5' ), =( 'sk_c5',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 899, [ =( 'sk_c4', 'sk_c3' ), =( 'sk_c4', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 901, [ =( 'sk_c4', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 914, [ =( multiply( X, 'sk_c3' ), X ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 915, [ =( multiply( 'sk_c6', 'sk_c3' ), 'sk_c2' ), =( 'sk_c5',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 916, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( multiply( X,
% 1.16/1.53 'sk_c3' ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 917, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply( X,
% 1.16/1.53 'sk_c3' ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 919, [ =( multiply( X, 'sk_c3' ), X ), =( multiply( 'sk_c5',
% 1.16/1.53 'sk_c6' ), 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 925, [ =( multiply( 'sk_c6', 'sk_c3' ), 'sk_c2' ), =( multiply(
% 1.16/1.53 'sk_c6', 'sk_c3' ), 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 929, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( 'sk_c2',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 930, [ ~( =( 'sk_c2', 'sk_c3' ) ), =( multiply( 'sk_c6', 'sk_c3' )
% 1.16/1.53 , 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 931, [ ~( =( 'sk_c2', 'sk_c3' ) ), =( 'sk_c2', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 932, [ =( multiply( 'sk_c3', 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 933, [ ~( =( 'sk_c5', 'sk_c3' ) ), =( identity, 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 935, [ =( 'sk_c5', 'sk_c3' ), =( multiply( 'sk_c5', 'sk_c6' ),
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 936, [ =( multiply( X, 'sk_c3' ), X ), ~( =( 'sk_c5', 'sk_c3' ) ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 937, [ ~( =( 'sk_c5', 'sk_c3' ) ), =( multiply( 'sk_c3', X ), X ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 940, [ =( 'sk_c5', 'sk_c3' ), ~( =( 'sk_c6', 'sk_c3' ) ), ~( =(
% 1.16/1.53 'sk_c2', 'sk_c3' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 949, [ ~( =( 'sk_c2', 'sk_c3' ) ), =( identity, 'sk_c3' ), =(
% 1.16/1.53 identity, 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 950, [ ~( =( 'sk_c2', 'sk_c3' ) ), =( identity, 'sk_c6' ), =(
% 1.16/1.53 'sk_c5', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 951, [ ~( =( 'sk_c6', 'sk_c3' ) ), ~( =( 'sk_c2', 'sk_c3' ) ), =(
% 1.16/1.53 'sk_c6', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 954, [ ~( =( 'sk_c2', 'sk_c3' ) ), =( 'sk_c5', 'sk_c3' ), =(
% 1.16/1.53 'sk_c6', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 955, [ ~( =( 'sk_c2', 'sk_c3' ) ), =( 'sk_c5', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 961, [ ~( =( 'sk_c2', 'sk_c3' ) ), =( identity, 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 963, [ =( multiply( X, 'sk_c3' ), X ), ~( =( 'sk_c2', 'sk_c3' ) ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 964, [ ~( =( 'sk_c2', 'sk_c3' ) ), =( multiply( 'sk_c3', X ), X ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 967, [ ~( =( 'sk_c2', 'sk_c3' ) ), =( 'sk_c6', 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 968, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 973, [ ~( =( 'sk_c2', 'sk_c3' ) ), ~( =( inverse( X ), 'sk_c3' ) )
% 1.16/1.53 , ~( =( X, 'sk_c3' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 974, [ ~( =( 'sk_c2', 'sk_c3' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 975, [ ~( =( 'sk_c2', 'sk_c1' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 976, [ ~( =( 'sk_c2', 'sk_c6' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 979, [ =( multiply( 'sk_c3', X ), X ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 980, [ =( multiply( 'sk_c3', X ), X ), =( multiply( 'sk_c5',
% 1.16/1.53 'sk_c6' ), 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 985, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c3' ), =( identity,
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 988, [ =( 'sk_c5', 'sk_c3' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 1.16/1.53 identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 989, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c3' ), =( 'sk_c6',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 990, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c3' ), =( 'sk_c3',
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 993, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c3' ), =( identity,
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 997, [ =( identity, 'sk_c1' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 1.16/1.53 identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1002, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c3' ), =( 'sk_c5',
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1004, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( 'sk_c5',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1005, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( identity,
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1006, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( 'sk_c6',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1007, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( identity,
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1011, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( 'sk_c5', 'sk_c3' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 1012, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( 'sk_c5', 'sk_c3' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 1013, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( identity, 'sk_c3' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 1017, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( 'sk_c6',
% 1.16/1.53 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1019, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( 'sk_c3',
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1022, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( 'sk_c3', 'sk_c1' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 1026, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( 'sk_c5', 'sk_c1' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 1030, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( 'sk_c3', 'sk_c1' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 1034, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( 'sk_c6', 'sk_c1' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 1036, [ ~( =( 'sk_c5', 'sk_c3' ) ), =( multiply( 'sk_c6', 'sk_c1' )
% 1.16/1.53 , 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1041, [ =( inverse( 'sk_c6' ), 'sk_c2' ), =( identity, 'sk_c1' ) ]
% 1.16/1.53 )
% 1.16/1.53 .
% 1.16/1.53 clause( 1045, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( 'sk_c3',
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1047, [ =( multiply( 'sk_c1', X ), X ), =( multiply( 'sk_c1',
% 1.16/1.53 'sk_c6' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1050, [ =( 'sk_c3', 'sk_c1' ), =( multiply( multiply( 'sk_c3',
% 1.16/1.53 'sk_c1' ), 'sk_c6' ), identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1052, [ ~( =( 'sk_c5', 'sk_c3' ) ), =( multiply( 'sk_c1', 'sk_c6' )
% 1.16/1.53 , 'sk_c3' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1054, [ =( multiply( multiply( 'sk_c3', 'sk_c1' ), 'sk_c6' ),
% 1.16/1.53 identity ), ~( =( 'sk_c5', 'sk_c1' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1070, [ =( multiply( 'sk_c3', 'sk_c6' ), identity ), =( 'sk_c3',
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1073, [ =( multiply( 'sk_c1', X ), X ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c6' ), identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1074, [ =( multiply( X, 'sk_c1' ), X ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c6' ), identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1080, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( 'sk_c5',
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1100, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( identity,
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1102, [ =( multiply( multiply( 'sk_c3', 'sk_c1' ), 'sk_c6' ),
% 1.16/1.53 identity ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1104, [ =( multiply( 'sk_c3', 'sk_c6' ), identity ), =( 'sk_c6',
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1120, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( 'sk_c6',
% 1.16/1.53 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1141, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1172, [ =( identity, 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1174, [ =( 'sk_c6', 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1177, [ =( 'sk_c3', 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1190, [ =( multiply( X, 'sk_c1' ), X ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1191, [ =( inverse( 'sk_c1' ), 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1195, [ =( 'sk_c5', 'sk_c1' ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1196, [ ~( =( inverse( X ), 'sk_c1' ) ), ~( =( inverse( Y ),
% 1.16/1.53 'sk_c1' ) ), ~( =( Y, 'sk_c1' ) ), ~( =( X, 'sk_c1' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1197, [ ~( =( inverse( X ), 'sk_c1' ) ), ~( =( X, 'sk_c1' ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 1198, [] )
% 1.16/1.53 .
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 % SZS output end Refutation
% 1.16/1.53 found a proof!
% 1.16/1.53
% 1.16/1.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.16/1.53
% 1.16/1.53 initialclauses(
% 1.16/1.53 [ clause( 1200, [ =( multiply( identity, X ), X ) ] )
% 1.16/1.53 , clause( 1201, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.16/1.53 , clause( 1202, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.16/1.53 Y, Z ) ) ) ] )
% 1.16/1.53 , clause( 1203, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 , clause( 1204, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c2' ), 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1205, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1206, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1207, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1208, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 1.16/1.53 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 , clause( 1209, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1210, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1211, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1212, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1213, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 1.16/1.53 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 , clause( 1214, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 1.16/1.53 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1215, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c2',
% 1.16/1.53 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1216, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 1.16/1.53 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1217, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1218, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 , clause( 1219, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c2' ), 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1220, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1221, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1222, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1223, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 1.16/1.53 X ), 'sk_c6' ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply(
% 1.16/1.53 'sk_c6', 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 1.16/1.53 'sk_c4' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5'
% 1.16/1.53 ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c5' ) ), ~( =( multiply( Z,
% 1.16/1.53 'sk_c4' ), 'sk_c5' ) ) ] )
% 1.16/1.53 ] ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.16/1.53 , clause( 1200, [ =( multiply( identity, X ), X ) ] )
% 1.16/1.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.16/1.53 , clause( 1201, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.16/1.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 eqswap(
% 1.16/1.53 clause( 1229, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 1.16/1.53 Y ), Z ) ) ] )
% 1.16/1.53 , clause( 1202, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.16/1.53 Y, Z ) ) ) ] )
% 1.16/1.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.16/1.53 , Z ) ) ] )
% 1.16/1.53 , clause( 1229, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 1.16/1.53 , Y ), Z ) ) ] )
% 1.16/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.16/1.53 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 3, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 , clause( 1203, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 1.16/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.16/1.53 ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 4, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c2' ), 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1204, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c2' ), 'sk_c6' ) ] )
% 1.16/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.16/1.53 ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 5, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 , clause( 1205, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 1.16/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.16/1.53 ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 6, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1206, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.16/1.53 'sk_c3' ), 'sk_c5' ) ] )
% 1.16/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.16/1.53 ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 7, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 , clause( 1207, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.16/1.53 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 1.16/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.16/1.53 ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 1.66/2.04 'sk_c6' ), 'sk_c4' ) ] )
% 1.66/2.04 , clause( 1208, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 1.66/2.04 'sk_c6' ), 'sk_c4' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 9, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 1.66/2.04 'sk_c6' ) ] )
% 1.66/2.04 , clause( 1209, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 1.66/2.04 'sk_c6' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 10, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 1.66/2.04 'sk_c5' ), 'sk_c6' ) ] )
% 1.66/2.04 , clause( 1210, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 1.66/2.04 'sk_c5' ), 'sk_c6' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 11, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.66/2.04 'sk_c5' ) ] )
% 1.66/2.04 , clause( 1211, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.66/2.04 'sk_c5' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 12, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 1.66/2.04 'sk_c4' ), 'sk_c5' ) ] )
% 1.66/2.04 , clause( 1212, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 1.66/2.04 'sk_c4' ), 'sk_c5' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 13, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 1.66/2.04 'sk_c6' ), 'sk_c4' ) ] )
% 1.66/2.04 , clause( 1213, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 1.66/2.04 'sk_c6' ), 'sk_c4' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 14, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 1.66/2.04 'sk_c6' ) ] )
% 1.66/2.04 , clause( 1214, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 1.66/2.04 'sk_c6' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 15, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c2',
% 1.66/2.04 'sk_c5' ), 'sk_c6' ) ] )
% 1.66/2.04 , clause( 1215, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c2',
% 1.66/2.04 'sk_c5' ), 'sk_c6' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 16, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 1.66/2.04 'sk_c5' ) ] )
% 1.66/2.04 , clause( 1216, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 1.66/2.04 'sk_c5' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 17, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 1.66/2.04 'sk_c4' ), 'sk_c5' ) ] )
% 1.66/2.04 , clause( 1217, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 1.66/2.04 'sk_c4' ), 'sk_c5' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 18, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.66/2.04 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 1.66/2.04 , clause( 1218, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.66/2.04 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 19, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 1.66/2.04 'sk_c2' ), 'sk_c6' ) ] )
% 1.66/2.04 , clause( 1219, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 1.66/2.04 'sk_c2' ), 'sk_c6' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 20, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.66/2.04 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 1.66/2.04 , clause( 1220, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( multiply(
% 1.66/2.04 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 21, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 1.66/2.04 'sk_c3' ), 'sk_c5' ) ] )
% 1.66/2.04 , clause( 1221, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 1.66/2.04 'sk_c3' ), 'sk_c5' ) ] )
% 1.66/2.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.66/2.04 ).
% 1.66/2.04
% 1.66/2.04
% 1.66/2.04 subsumption(
% 1.66/2.04 clause( 23, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X )
% 1.66/2.04 , 'sk_c6' ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply(
% 2.15/2.54 'sk_c6', 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 2.15/2.54 'sk_c4' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5'
% 2.15/2.54 ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c5' ) ), ~( =( multiply( Z,
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ) ] )
% 2.15/2.54 , clause( 1223, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 2.15/2.54 X ), 'sk_c6' ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply(
% 2.15/2.54 'sk_c6', 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 2.15/2.54 'sk_c4' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5'
% 2.15/2.54 ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c5' ) ), ~( =( multiply( Z,
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.15/2.54 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 2.15/2.54 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 factor(
% 2.15/2.54 clause( 3968, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X
% 2.15/2.54 ), 'sk_c6' ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply(
% 2.15/2.54 'sk_c6', 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 2.15/2.54 'sk_c4' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5'
% 2.15/2.54 ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c5' ) ) ] )
% 2.15/2.54 , clause( 23, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X
% 2.15/2.54 ), 'sk_c6' ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply(
% 2.15/2.54 'sk_c6', 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 2.15/2.54 'sk_c4' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5'
% 2.15/2.54 ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c5' ) ), ~( =( multiply( Z,
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ) ] )
% 2.15/2.54 , 3, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'sk_c6' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 26, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X )
% 2.15/2.54 , 'sk_c6' ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply(
% 2.15/2.54 'sk_c6', 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 2.15/2.54 'sk_c4' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5'
% 2.15/2.54 ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c5' ) ) ] )
% 2.15/2.54 , clause( 3968, [ ~( =( multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 2.15/2.54 X ), 'sk_c6' ) ), ~( =( inverse( 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply(
% 2.15/2.54 'sk_c6', 'sk_c4' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 2.15/2.54 'sk_c4' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c5'
% 2.15/2.54 ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c5' ) ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.15/2.54 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 ),
% 2.15/2.54 ==>( 6, 6 ), ==>( 7, 7 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 4991, [ =( 'sk_c5', inverse( 'sk_c3' ) ), =( inverse( 'sk_c4' ),
% 2.15/2.54 'sk_c5' ) ] )
% 2.15/2.54 , clause( 16, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 2.15/2.54 'sk_c5' ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 4993, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5002, [ =( identity, multiply( 'sk_c5', 'sk_c4' ) ), =( 'sk_c5',
% 2.15/2.54 inverse( 'sk_c3' ) ) ] )
% 2.15/2.54 , clause( 4991, [ =( 'sk_c5', inverse( 'sk_c3' ) ), =( inverse( 'sk_c4' ),
% 2.15/2.54 'sk_c5' ) ] )
% 2.15/2.54 , 1, clause( 4993, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5004, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( identity, multiply(
% 2.15/2.54 'sk_c5', 'sk_c4' ) ) ] )
% 2.15/2.54 , clause( 5002, [ =( identity, multiply( 'sk_c5', 'sk_c4' ) ), =( 'sk_c5',
% 2.15/2.54 inverse( 'sk_c3' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5005, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 2.15/2.54 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5004, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( identity, multiply(
% 2.15/2.54 'sk_c5', 'sk_c4' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 27, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 2.15/2.54 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5005, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 2.15/2.54 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.15/2.54 ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5007, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( inverse( 'sk_c4' ),
% 2.15/2.54 'sk_c5' ) ] )
% 2.15/2.54 , clause( 14, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 2.15/2.54 'sk_c6' ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5009, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5018, [ =( identity, multiply( 'sk_c5', 'sk_c4' ) ), =( 'sk_c6',
% 2.15/2.54 inverse( 'sk_c2' ) ) ] )
% 2.15/2.54 , clause( 5007, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( inverse( 'sk_c4' ),
% 2.15/2.54 'sk_c5' ) ] )
% 2.15/2.54 , 1, clause( 5009, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5020, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( identity, multiply(
% 2.15/2.54 'sk_c5', 'sk_c4' ) ) ] )
% 2.15/2.54 , clause( 5018, [ =( identity, multiply( 'sk_c5', 'sk_c4' ) ), =( 'sk_c6',
% 2.15/2.54 inverse( 'sk_c2' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5021, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 2.15/2.54 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , clause( 5020, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( identity, multiply(
% 2.15/2.54 'sk_c5', 'sk_c4' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 29, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 2.15/2.54 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , clause( 5021, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 2.15/2.54 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.15/2.54 ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5022, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.54 Y, Z ) ) ) ] )
% 2.15/2.54 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.54 ), Z ) ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5025, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.15/2.54 ), identity ) ] )
% 2.15/2.54 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.54 , 0, clause( 5022, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.54 multiply( Y, Z ) ) ) ] )
% 2.15/2.54 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 2.15/2.54 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 33, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 2.15/2.54 , identity ) ] )
% 2.15/2.54 , clause( 5025, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 2.15/2.54 Y ), identity ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.15/2.54 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5031, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.54 Y, Z ) ) ) ] )
% 2.15/2.54 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.54 ), Z ) ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5036, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 2.15/2.54 , identity ) ) ] )
% 2.15/2.54 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.54 , 0, clause( 5031, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.54 multiply( Y, Z ) ) ) ] )
% 2.15/2.54 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.15/2.54 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 34, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.15/2.54 identity ) ) ] )
% 2.15/2.54 , clause( 5036, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 2.15/2.54 X, identity ) ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.15/2.54 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5041, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.54 Y, Z ) ) ) ] )
% 2.15/2.54 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.54 ), Z ) ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5046, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 2.15/2.54 ) ] )
% 2.15/2.54 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.15/2.54 , 0, clause( 5041, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.54 multiply( Y, Z ) ) ) ] )
% 2.15/2.54 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.15/2.54 :=( Y, identity ), :=( Z, Y )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 35, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 2.15/2.54 ] )
% 2.15/2.54 , clause( 5046, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 2.15/2.54 ) ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.15/2.54 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5051, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c2' ),
% 2.15/2.54 'sk_c6' ) ] )
% 2.15/2.54 , clause( 9, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 2.15/2.54 'sk_c6' ) ] )
% 2.15/2.54 , 0, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5054, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5055, [ =( identity, multiply( 'sk_c6', 'sk_c2' ) ), =( 'sk_c6',
% 2.15/2.54 inverse( 'sk_c1' ) ) ] )
% 2.15/2.54 , clause( 5051, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c2' ),
% 2.15/2.54 'sk_c6' ) ] )
% 2.15/2.54 , 1, clause( 5054, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5057, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( identity, multiply(
% 2.15/2.54 'sk_c6', 'sk_c2' ) ) ] )
% 2.15/2.54 , clause( 5055, [ =( identity, multiply( 'sk_c6', 'sk_c2' ) ), =( 'sk_c6',
% 2.15/2.54 inverse( 'sk_c1' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5058, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( inverse(
% 2.15/2.54 'sk_c1' ), 'sk_c6' ) ] )
% 2.15/2.54 , clause( 5057, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( identity, multiply(
% 2.15/2.54 'sk_c6', 'sk_c2' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 37, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( inverse(
% 2.15/2.54 'sk_c1' ), 'sk_c6' ) ] )
% 2.15/2.54 , clause( 5058, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( inverse(
% 2.15/2.54 'sk_c1' ), 'sk_c6' ) ] )
% 2.15/2.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.15/2.54 ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5059, [ =( 'sk_c5', multiply( 'sk_c1', 'sk_c6' ) ), =( multiply(
% 2.15/2.54 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 2.15/2.54 , clause( 3, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 2.15/2.54 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 2.15/2.54 , 0, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5062, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.54 Y, Z ) ) ) ] )
% 2.15/2.54 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.54 ), Z ) ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5064, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c6' ), multiply( X
% 2.15/2.54 , 'sk_c4' ) ), =( 'sk_c5', multiply( 'sk_c1', 'sk_c6' ) ) ] )
% 2.15/2.54 , clause( 5059, [ =( 'sk_c5', multiply( 'sk_c1', 'sk_c6' ) ), =( multiply(
% 2.15/2.54 'sk_c5', 'sk_c6' ), 'sk_c4' ) ] )
% 2.15/2.54 , 1, clause( 5062, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.54 multiply( Y, Z ) ) ) ] )
% 2.15/2.54 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.15/2.54 'sk_c5' ), :=( Z, 'sk_c6' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5069, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 2.15/2.54 multiply( X, 'sk_c5' ), 'sk_c6' ), multiply( X, 'sk_c4' ) ) ] )
% 2.15/2.54 , clause( 5064, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c6' ), multiply(
% 2.15/2.54 X, 'sk_c4' ) ), =( 'sk_c5', multiply( 'sk_c1', 'sk_c6' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 44, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c6' ), multiply( X,
% 2.15/2.54 'sk_c4' ) ), =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5069, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 2.15/2.54 multiply( X, 'sk_c5' ), 'sk_c6' ), multiply( X, 'sk_c4' ) ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.15/2.54 0 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5072, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( multiply( 'sk_c5',
% 2.15/2.54 'sk_c4' ), identity ) ] )
% 2.15/2.54 , clause( 29, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 2.15/2.54 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5074, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.54 Y, Z ) ) ) ] )
% 2.15/2.54 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.54 ), Z ) ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5076, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c4' ), multiply( X
% 2.15/2.54 , identity ) ), =( 'sk_c6', inverse( 'sk_c2' ) ) ] )
% 2.15/2.54 , clause( 5072, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( multiply( 'sk_c5',
% 2.15/2.54 'sk_c4' ), identity ) ] )
% 2.15/2.54 , 1, clause( 5074, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.54 multiply( Y, Z ) ) ) ] )
% 2.15/2.54 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.15/2.54 'sk_c5' ), :=( Z, 'sk_c4' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5081, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( multiply( X
% 2.15/2.54 , 'sk_c5' ), 'sk_c4' ), multiply( X, identity ) ) ] )
% 2.15/2.54 , clause( 5076, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c4' ), multiply(
% 2.15/2.54 X, identity ) ), =( 'sk_c6', inverse( 'sk_c2' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 46, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c4' ), multiply( X,
% 2.15/2.54 identity ) ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , clause( 5081, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( multiply(
% 2.15/2.54 X, 'sk_c5' ), 'sk_c4' ), multiply( X, identity ) ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.15/2.54 0 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5084, [ =( 'sk_c5', inverse( 'sk_c3' ) ), =( multiply( 'sk_c5',
% 2.15/2.54 'sk_c4' ), identity ) ] )
% 2.15/2.54 , clause( 27, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( inverse(
% 2.15/2.54 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5086, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.54 Y, Z ) ) ) ] )
% 2.15/2.54 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.54 ), Z ) ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5088, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c4' ), multiply( X
% 2.15/2.54 , identity ) ), =( 'sk_c5', inverse( 'sk_c3' ) ) ] )
% 2.15/2.54 , clause( 5084, [ =( 'sk_c5', inverse( 'sk_c3' ) ), =( multiply( 'sk_c5',
% 2.15/2.54 'sk_c4' ), identity ) ] )
% 2.15/2.54 , 1, clause( 5086, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.54 multiply( Y, Z ) ) ) ] )
% 2.15/2.54 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.15/2.54 'sk_c5' ), :=( Z, 'sk_c4' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5093, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( multiply( multiply( X
% 2.15/2.54 , 'sk_c5' ), 'sk_c4' ), multiply( X, identity ) ) ] )
% 2.15/2.54 , clause( 5088, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c4' ), multiply(
% 2.15/2.54 X, identity ) ), =( 'sk_c5', inverse( 'sk_c3' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 49, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c4' ), multiply( X,
% 2.15/2.54 identity ) ), =( inverse( 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5093, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( multiply( multiply(
% 2.15/2.54 X, 'sk_c5' ), 'sk_c4' ), multiply( X, identity ) ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.15/2.54 0 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5095, [ =( 'sk_c5', multiply( 'sk_c1', 'sk_c6' ) ), =( inverse(
% 2.15/2.54 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , clause( 4, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 2.15/2.54 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , 0, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5098, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5099, [ =( identity, multiply( 'sk_c6', 'sk_c2' ) ), =( 'sk_c5',
% 2.15/2.54 multiply( 'sk_c1', 'sk_c6' ) ) ] )
% 2.15/2.54 , clause( 5095, [ =( 'sk_c5', multiply( 'sk_c1', 'sk_c6' ) ), =( inverse(
% 2.15/2.54 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , 1, clause( 5098, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5101, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( identity,
% 2.15/2.54 multiply( 'sk_c6', 'sk_c2' ) ) ] )
% 2.15/2.54 , clause( 5099, [ =( identity, multiply( 'sk_c6', 'sk_c2' ) ), =( 'sk_c5',
% 2.15/2.54 multiply( 'sk_c1', 'sk_c6' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5102, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 2.15/2.54 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5101, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( identity,
% 2.15/2.54 multiply( 'sk_c6', 'sk_c2' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 52, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 2.15/2.54 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5102, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 2.15/2.54 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 2.15/2.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.15/2.54 ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5104, [ =( 'sk_c5', inverse( 'sk_c3' ) ), =( multiply( 'sk_c6',
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 21, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 2.15/2.54 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5106, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.54 Y, Z ) ) ) ] )
% 2.15/2.54 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.54 ), Z ) ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5108, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X
% 2.15/2.54 , 'sk_c5' ) ), =( 'sk_c5', inverse( 'sk_c3' ) ) ] )
% 2.15/2.54 , clause( 5104, [ =( 'sk_c5', inverse( 'sk_c3' ) ), =( multiply( 'sk_c6',
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , 1, clause( 5106, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.54 multiply( Y, Z ) ) ) ] )
% 2.15/2.54 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.15/2.54 'sk_c6' ), :=( Z, 'sk_c4' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5113, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( multiply( multiply( X
% 2.15/2.54 , 'sk_c6' ), 'sk_c4' ), multiply( X, 'sk_c5' ) ) ] )
% 2.15/2.54 , clause( 5108, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply(
% 2.15/2.54 X, 'sk_c5' ) ), =( 'sk_c5', inverse( 'sk_c3' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 54, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X,
% 2.15/2.54 'sk_c5' ) ), =( inverse( 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5113, [ =( inverse( 'sk_c3' ), 'sk_c5' ), =( multiply( multiply(
% 2.15/2.54 X, 'sk_c6' ), 'sk_c4' ), multiply( X, 'sk_c5' ) ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.15/2.54 0 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5115, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c4' ) ), =( inverse(
% 2.15/2.54 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 21, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 2.15/2.54 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , 0, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5118, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5119, [ =( identity, multiply( 'sk_c5', 'sk_c3' ) ), =( 'sk_c5',
% 2.15/2.54 multiply( 'sk_c6', 'sk_c4' ) ) ] )
% 2.15/2.54 , clause( 5115, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c4' ) ), =( inverse(
% 2.15/2.54 'sk_c3' ), 'sk_c5' ) ] )
% 2.15/2.54 , 1, clause( 5118, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5121, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( identity,
% 2.15/2.54 multiply( 'sk_c5', 'sk_c3' ) ) ] )
% 2.15/2.54 , clause( 5119, [ =( identity, multiply( 'sk_c5', 'sk_c3' ) ), =( 'sk_c5',
% 2.15/2.54 multiply( 'sk_c6', 'sk_c4' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5122, [ =( multiply( 'sk_c5', 'sk_c3' ), identity ), =( multiply(
% 2.15/2.54 'sk_c6', 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5121, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( identity,
% 2.15/2.54 multiply( 'sk_c5', 'sk_c3' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 55, [ =( multiply( 'sk_c5', 'sk_c3' ), identity ), =( multiply(
% 2.15/2.54 'sk_c6', 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5122, [ =( multiply( 'sk_c5', 'sk_c3' ), identity ), =( multiply(
% 2.15/2.54 'sk_c6', 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.15/2.54 ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5124, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( multiply( 'sk_c6',
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 19, [ =( multiply( 'sk_c6', 'sk_c4' ), 'sk_c5' ), =( inverse(
% 2.15/2.54 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5126, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.54 Y, Z ) ) ) ] )
% 2.15/2.54 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.54 ), Z ) ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5128, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X
% 2.15/2.54 , 'sk_c5' ) ), =( 'sk_c6', inverse( 'sk_c2' ) ) ] )
% 2.15/2.54 , clause( 5124, [ =( 'sk_c6', inverse( 'sk_c2' ) ), =( multiply( 'sk_c6',
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , 1, clause( 5126, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.54 multiply( Y, Z ) ) ) ] )
% 2.15/2.54 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.15/2.54 'sk_c6' ), :=( Z, 'sk_c4' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5133, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( multiply( X
% 2.15/2.54 , 'sk_c6' ), 'sk_c4' ), multiply( X, 'sk_c5' ) ) ] )
% 2.15/2.54 , clause( 5128, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply(
% 2.15/2.54 X, 'sk_c5' ) ), =( 'sk_c6', inverse( 'sk_c2' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 56, [ =( multiply( multiply( X, 'sk_c6' ), 'sk_c4' ), multiply( X,
% 2.15/2.54 'sk_c5' ) ), =( inverse( 'sk_c2' ), 'sk_c6' ) ] )
% 2.15/2.54 , clause( 5133, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( multiply(
% 2.15/2.54 X, 'sk_c6' ), 'sk_c4' ), multiply( X, 'sk_c5' ) ) ] )
% 2.15/2.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.15/2.54 0 )] ) ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5136, [ =( 'sk_c5', multiply( 'sk_c3', 'sk_c4' ) ), =( inverse(
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 17, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5138, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.54 clause( 5139, [ =( identity, multiply( 'sk_c5', 'sk_c4' ) ), =( 'sk_c5',
% 2.15/2.54 multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 2.15/2.54 , clause( 5136, [ =( 'sk_c5', multiply( 'sk_c3', 'sk_c4' ) ), =( inverse(
% 2.15/2.54 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , 1, clause( 5138, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.54 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5141, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c5' ), =( identity,
% 2.15/2.54 multiply( 'sk_c5', 'sk_c4' ) ) ] )
% 2.15/2.54 , clause( 5139, [ =( identity, multiply( 'sk_c5', 'sk_c4' ) ), =( 'sk_c5',
% 2.15/2.54 multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5142, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( multiply(
% 2.15/2.54 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5141, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c5' ), =( identity,
% 2.15/2.54 multiply( 'sk_c5', 'sk_c4' ) ) ] )
% 2.15/2.54 , 1, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 subsumption(
% 2.15/2.54 clause( 59, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( multiply(
% 2.15/2.54 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , clause( 5142, [ =( multiply( 'sk_c5', 'sk_c4' ), identity ), =( multiply(
% 2.15/2.54 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.15/2.54 ).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5143, [ =( 'sk_c5', inverse( 'sk_c4' ) ), =( multiply( 'sk_c5',
% 2.15/2.54 'sk_c6' ), 'sk_c4' ) ] )
% 2.15/2.54 , clause( 13, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 2.15/2.54 'sk_c6' ), 'sk_c4' ) ] )
% 2.15/2.54 , 0, substitution( 0, [] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 eqswap(
% 2.15/2.54 clause( 5146, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.54 Y, Z ) ) ) ] )
% 2.15/2.54 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.54 ), Z ) ) ] )
% 2.15/2.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.54
% 2.15/2.54
% 2.15/2.54 paramod(
% 2.15/2.55 clause( 5148, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c6' ), multiply( X
% 2.15/2.55 , 'sk_c4' ) ), =( 'sk_c5', inverse( 'sk_c4' ) ) ] )
% 2.15/2.55 , clause( 5143, [ =( 'sk_c5', inverse( 'sk_c4' ) ), =( multiply( 'sk_c5',
% 2.15/2.55 'sk_c6' ), 'sk_c4' ) ] )
% 2.15/2.55 , 1, clause( 5146, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.55 multiply( Y, Z ) ) ) ] )
% 2.15/2.55 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.15/2.55 'sk_c5' ), :=( Z, 'sk_c6' )] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 eqswap(
% 2.15/2.55 clause( 5153, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( multiply( X
% 2.15/2.55 , 'sk_c5' ), 'sk_c6' ), multiply( X, 'sk_c4' ) ) ] )
% 2.15/2.55 , clause( 5148, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c6' ), multiply(
% 2.15/2.55 X, 'sk_c4' ) ), =( 'sk_c5', inverse( 'sk_c4' ) ) ] )
% 2.15/2.55 , 1, substitution( 0, [ :=( X, X )] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 subsumption(
% 2.15/2.55 clause( 64, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c6' ), multiply( X,
% 2.15/2.55 'sk_c4' ) ), =( inverse( 'sk_c4' ), 'sk_c5' ) ] )
% 2.15/2.55 , clause( 5153, [ =( inverse( 'sk_c4' ), 'sk_c5' ), =( multiply( multiply(
% 2.15/2.55 X, 'sk_c5' ), 'sk_c6' ), multiply( X, 'sk_c4' ) ) ] )
% 2.15/2.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.15/2.55 0 )] ) ).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 eqswap(
% 2.15/2.55 clause( 5156, [ =( 'sk_c6', multiply( 'sk_c2', 'sk_c5' ) ), =( inverse(
% 2.15/2.55 'sk_c1' ), 'sk_c6' ) ] )
% 2.15/2.55 , clause( 10, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 2.15/2.55 'sk_c5' ), 'sk_c6' ) ] )
% 2.15/2.55 , 1, substitution( 0, [] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 eqswap(
% 2.15/2.55 clause( 5158, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.55 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.55 , 0, substitution( 0, [ :=( X, X )] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 paramod(
% 2.15/2.55 clause( 5159, [ =( identity, multiply( 'sk_c6', 'sk_c1' ) ), =( 'sk_c6',
% 2.15/2.55 multiply( 'sk_c2', 'sk_c5' ) ) ] )
% 2.15/2.55 , clause( 5156, [ =( 'sk_c6', multiply( 'sk_c2', 'sk_c5' ) ), =( inverse(
% 2.15/2.55 'sk_c1' ), 'sk_c6' ) ] )
% 2.15/2.55 , 1, clause( 5158, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.15/2.55 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 eqswap(
% 2.15/2.55 clause( 5161, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( identity,
% 2.15/2.55 multiply( 'sk_c6', 'sk_c1' ) ) ] )
% 2.15/2.55 , clause( 5159, [ =( identity, multiply( 'sk_c6', 'sk_c1' ) ), =( 'sk_c6',
% 2.15/2.55 multiply( 'sk_c2', 'sk_c5' ) ) ] )
% 2.15/2.55 , 1, substitution( 0, [] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 eqswap(
% 2.15/2.55 clause( 5162, [ =( multiply( 'sk_c6', 'sk_c1' ), identity ), =( multiply(
% 2.15/2.55 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 2.15/2.55 , clause( 5161, [ =( multiply( 'sk_c2', 'sk_c5' ), 'sk_c6' ), =( identity,
% 2.15/2.55 multiply( 'sk_c6', 'sk_c1' ) ) ] )
% 2.15/2.55 , 1, substitution( 0, [] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 subsumption(
% 2.15/2.55 clause( 69, [ =( multiply( 'sk_c6', 'sk_c1' ), identity ), =( multiply(
% 2.15/2.55 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 2.15/2.55 , clause( 5162, [ =( multiply( 'sk_c6', 'sk_c1' ), identity ), =( multiply(
% 2.15/2.55 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 2.15/2.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.15/2.55 ).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 eqswap(
% 2.15/2.55 clause( 5164, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 2.15/2.55 ) ] )
% 2.15/2.55 , clause( 35, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 2.15/2.55 ) ] )
% 2.15/2.55 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 paramod(
% 2.15/2.55 clause( 5167, [ =( multiply( inverse( identity ), X ), multiply( identity,
% 2.15/2.55 X ) ) ] )
% 2.15/2.55 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.15/2.55 , 0, clause( 5164, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 2.15/2.55 , Y ) ) ] )
% 2.15/2.55 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 2.15/2.55 inverse( identity ) ), :=( Y, X )] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 paramod(
% 2.15/2.55 clause( 5168, [ =( multiply( inverse( identity ), X ), X ) ] )
% 2.15/2.55 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.15/2.55 , 0, clause( 5167, [ =( multiply( inverse( identity ), X ), multiply(
% 2.15/2.55 identity, X ) ) ] )
% 2.15/2.55 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.15/2.55 ).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 subsumption(
% 2.15/2.55 clause( 74, [ =( multiply( inverse( identity ), X ), X ) ] )
% 2.15/2.55 , clause( 5168, [ =( multiply( inverse( identity ), X ), X ) ] )
% 2.15/2.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 eqswap(
% 2.15/2.55 clause( 5171, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.15/2.55 Y, Z ) ) ) ] )
% 2.15/2.55 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.15/2.55 ), Z ) ) ] )
% 2.15/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 paramod(
% 2.15/2.55 clause( 5176, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 2.15/2.55 multiply( X, Y ) ) ] )
% 2.15/2.55 , clause( 74, [ =( multiply( inverse( identity ), X ), X ) ] )
% 2.15/2.55 , 0, clause( 5171, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.15/2.55 multiply( Y, Z ) ) ) ] )
% 2.15/2.55 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.15/2.55 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 subsumption(
% 2.15/2.55 clause( 75, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 2.15/2.55 multiply( Y, X ) ) ] )
% 2.15/2.55 , clause( 5176, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 2.15/2.55 multiply( X, Y ) ) ] )
% 2.15/2.55 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.15/2.55 )] ) ).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 eqswap(
% 2.15/2.55 clause( 5181, [ =( identity, multiply( 'sk_c6', 'sk_c1' ) ), =( multiply(
% 2.15/2.55 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 2.15/2.55 , clause( 69, [ =( multiply( 'sk_c6', 'sk_c1' ), identity ), =( multiply(
% 2.15/2.55 'sk_c2', 'sk_c5' ), 'sk_c6' ) ] )
% 2.15/2.55 , 0, substitution( 0, [] )).
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 eqswap(
% 2.15/2.55 clause( 5184, [ =( multiply( multiply( X, Y ), Z ), multiply( X,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------