TSTP Solution File: GRP288-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP288-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:36:23 EDT 2022
% Result : Unsatisfiable 0.82s 1.48s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP288-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 16:37:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.82/1.48 *** allocated 10000 integers for termspace/termends
% 0.82/1.48 *** allocated 10000 integers for clauses
% 0.82/1.48 *** allocated 10000 integers for justifications
% 0.82/1.48 Bliksem 1.12
% 0.82/1.48
% 0.82/1.48
% 0.82/1.48 Automatic Strategy Selection
% 0.82/1.48
% 0.82/1.48 Clauses:
% 0.82/1.48 [
% 0.82/1.48 [ =( multiply( identity, X ), X ) ],
% 0.82/1.48 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.82/1.48 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.82/1.48 ],
% 0.82/1.48 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c6',
% 0.82/1.48 'sk_c7' ), 'sk_c5' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 0.82/1.48 'sk_c7' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 0.82/1.48 'sk_c6' ), 'sk_c7' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c4',
% 0.82/1.48 'sk_c6' ), 'sk_c7' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c4' ),
% 0.82/1.48 'sk_c6' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.82/1.48 'sk_c7' ), 'sk_c5' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.82/1.48 'sk_c7' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.82/1.48 'sk_c6' ), 'sk_c7' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.82/1.48 'sk_c6' ), 'sk_c7' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 0.82/1.48 'sk_c6' ) ],
% 0.82/1.48 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 0.82/1.48 'sk_c5' ) ],
% 0.82/1.48 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 0.82/1.48 ,
% 0.82/1.48 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 0.82/1.48 'sk_c7' ) ],
% 0.82/1.48 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 0.82/1.48 'sk_c7' ) ],
% 0.82/1.48 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ]
% 0.82/1.48 ,
% 0.82/1.48 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c6',
% 0.82/1.48 'sk_c7' ), 'sk_c5' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 0.82/1.48 'sk_c7' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 0.82/1.48 'sk_c6' ), 'sk_c7' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c4',
% 0.82/1.48 'sk_c6' ), 'sk_c7' ) ],
% 0.82/1.48 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c4' ),
% 0.82/1.48 'sk_c6' ) ],
% 0.82/1.48 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 0.82/1.48 'sk_c5' ) ],
% 0.82/1.48 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 0.82/1.48 ,
% 0.82/1.48 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c6' ),
% 0.82/1.48 'sk_c7' ) ],
% 0.82/1.48 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 0.82/1.48 'sk_c7' ) ],
% 0.82/1.48 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ) ]
% 0.82/1.48 ,
% 0.82/1.48 [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( X,
% 0.82/1.48 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply(
% 0.82/1.48 Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~( =(
% 0.82/1.48 multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7' )
% 0.82/1.48 ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T, 'sk_c6'
% 0.82/1.48 ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ]
% 0.82/1.48 ] .
% 0.82/1.48
% 0.82/1.48
% 0.82/1.48 percentage equality = 1.000000, percentage horn = 0.137931
% 0.82/1.48 This is a pure equality problem
% 0.82/1.48
% 0.82/1.48
% 0.82/1.48
% 0.82/1.48 Options Used:
% 0.82/1.48
% 0.82/1.48 useres = 1
% 0.82/1.48 useparamod = 1
% 0.82/1.48 useeqrefl = 1
% 0.82/1.48 useeqfact = 1
% 0.82/1.48 usefactor = 1
% 0.82/1.48 usesimpsplitting = 0
% 0.82/1.48 usesimpdemod = 5
% 0.82/1.48 usesimpres = 3
% 0.82/1.48
% 0.82/1.48 resimpinuse = 1000
% 0.82/1.48 resimpclauses = 20000
% 0.82/1.48 substype = eqrewr
% 0.82/1.48 backwardsubs = 1
% 0.82/1.48 selectoldest = 5
% 0.82/1.48
% 0.82/1.48 litorderings [0] = split
% 0.82/1.48 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.48
% 0.82/1.48 termordering = kbo
% 0.82/1.48
% 0.82/1.48 litapriori = 0
% 0.82/1.48 termapriori = 1
% 0.82/1.48 litaposteriori = 0
% 0.82/1.48 termaposteriori = 0
% 0.82/1.48 demodaposteriori = 0
% 0.82/1.48 ordereqreflfact = 0
% 0.82/1.48
% 0.82/1.48 litselect = negord
% 0.82/1.48
% 0.82/1.48 maxweight = 15
% 0.82/1.48 maxdepth = 30000
% 0.82/1.48 maxlength = 115
% 0.82/1.48 maxnrvars = 195
% 0.82/1.48 excuselevel = 1
% 0.82/1.48 increasemaxweight = 1
% 0.82/1.48
% 0.82/1.48 maxselected = 10000000
% 0.82/1.48 maxnrclauses = 10000000
% 0.82/1.48
% 0.82/1.48 showgenerated = 0
% 0.82/1.48 showkept = 0
% 0.82/1.48 showselected = 0
% 0.82/1.48 showdeleted = 0
% 0.82/1.48 showresimp = 1
% 0.82/1.48 showstatus = 2000
% 0.82/1.48
% 0.82/1.48 prologoutput = 1
% 0.82/1.48 nrgoals = 5000000
% 0.82/1.48 totalproof = 1
% 0.82/1.48
% 0.82/1.48 Symbols occurring in the translation:
% 0.82/1.48
% 0.82/1.48 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.48 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.82/1.48 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.82/1.48 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.48 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.48 identity [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.82/1.48 multiply [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.82/1.48 inverse [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.82/1.48 'sk_c7' [45, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.82/1.48 'sk_c6' [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.82/1.48 'sk_c5' [47, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.82/1.48 'sk_c3' [48, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.82/1.48 'sk_c4' [49, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.82/1.48 'sk_c1' [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.82/1.48 'sk_c2' [51, 0] (w:1, o:9, a:1, s:1, b:0).
% 0.82/1.48
% 0.82/1.48
% 0.82/1.48 Starting Search:
% 0.82/1.48
% 0.82/1.48
% 0.82/1.48 Bliksems!, er is een bewijs:
% 0.82/1.48 % SZS status Unsatisfiable
% 0.82/1.48 % SZS output start Refutation
% 0.82/1.48
% 0.82/1.48 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.82/1.48 .
% 0.82/1.48 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.82/1.49 , Z ) ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 3, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 6, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.82/1.49 'sk_c3' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 10, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.82/1.49 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.82/1.49 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.82/1.49 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.82/1.49 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.82/1.49 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 19, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.49 'sk_c3' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 21, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 22, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.49 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 24, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.82/1.49 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.82/1.49 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 27, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 0.82/1.49 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 28, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.82/1.49 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.82/1.49 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 0.82/1.49 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 0.82/1.49 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 0.82/1.49 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 32, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.82/1.49 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.82/1.49 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 0.82/1.49 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 0.82/1.49 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y
% 0.82/1.49 , 'sk_c6' ), 'sk_c7' ) ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 37, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( inverse(
% 0.82/1.49 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 40, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.82/1.49 identity ) ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 41, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.82/1.49 ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 48, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 0.82/1.49 'sk_c7', 'sk_c1' ), identity ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 61, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 73, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 75, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 0.82/1.49 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 88, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 89, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.82/1.49 multiply( Y, X ) ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 132, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 202, [ =( inverse( identity ), identity ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 205, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 206, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.82/1.49 ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 235, [ =( multiply( X, identity ), X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 266, [ =( inverse( inverse( X ) ), X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 289, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( inverse( 'sk_c1' ),
% 0.82/1.49 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 298, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 0.82/1.49 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 313, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( identity,
% 0.82/1.49 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 316, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 318, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 319, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 320, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 322, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 324, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 326, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 335, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 337, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 346, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 347, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( identity, 'sk_c7' ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 350, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c3', 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 352, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 353, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 356, [ =( multiply( X, 'sk_c6' ), X ), ~( =( 'sk_c7', 'sk_c6' ) ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 357, [ =( inverse( 'sk_c6' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) )
% 0.82/1.49 ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 358, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( multiply( 'sk_c6', X ), X ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 368, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 390, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 392, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 394, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c7', X ), X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 396, [ =( 'sk_c3', 'sk_c7' ), =( identity, 'sk_c6' ), =( 'sk_c7',
% 0.82/1.49 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 411, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( inverse( 'sk_c5' ), 'sk_c5' )
% 0.82/1.49 ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 417, [ =( multiply( X, 'sk_c7' ), X ), =( inverse( 'sk_c7' ),
% 0.82/1.49 'sk_c1' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 420, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( multiply( 'sk_c7', X )
% 0.82/1.49 , X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 439, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( 'sk_c3', 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 446, [ =( identity, 'sk_c6' ), =( 'sk_c3', 'sk_c7' ), =( 'sk_c1',
% 0.82/1.49 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 452, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( 'sk_c7', 'sk_c6' ), =(
% 0.82/1.49 'sk_c1', 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 453, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( 'sk_c7', 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 458, [ =( identity, 'sk_c6' ), =( 'sk_c1', 'sk_c7' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 486, [ =( identity, 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 491, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 495, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c6', 'sk_c4' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 508, [ =( identity, 'sk_c6' ), =( 'sk_c7', 'sk_c5' ), =( 'sk_c7',
% 0.82/1.49 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 514, [ =( identity, 'sk_c6' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 644, [ =( identity, 'sk_c6' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 645, [ =( multiply( X, 'sk_c6' ), X ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 647, [ =( 'sk_c7', 'sk_c5' ), =( multiply( 'sk_c6', X ), X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 648, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 650, [ =( multiply( 'sk_c6', X ), X ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 658, [ =( 'sk_c2', 'sk_c5' ), =( 'sk_c7', 'sk_c4' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 661, [ =( 'sk_c7', 'sk_c4' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 667, [ =( 'sk_c7', 'sk_c4' ), =( multiply( 'sk_c7', 'sk_c1' ),
% 0.82/1.49 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 672, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c4' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 678, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c5', 'sk_c4' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 680, [ =( 'sk_c7', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 701, [ =( multiply( 'sk_c5', X ), X ), ~( =( 'sk_c6', 'sk_c5' ) ) ]
% 0.82/1.49 )
% 0.82/1.49 .
% 0.82/1.49 clause( 702, [ =( 'sk_c5', 'sk_c4' ), =( 'sk_c6', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 795, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( inverse( 'sk_c5' ), 'sk_c6' )
% 0.82/1.49 ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 797, [ =( 'sk_c6', 'sk_c5' ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 798, [ ~( =( X, 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~(
% 0.82/1.49 =( inverse( Y ), 'sk_c5' ) ), ~( =( Y, 'sk_c5' ) ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 801, [ ~( =( X, 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 802, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 0.82/1.49 .
% 0.82/1.49 clause( 803, [] )
% 0.82/1.49 .
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 % SZS output end Refutation
% 0.82/1.49 found a proof!
% 0.82/1.49
% 0.82/1.49 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.49
% 0.82/1.49 initialclauses(
% 0.82/1.49 [ clause( 805, [ =( multiply( identity, X ), X ) ] )
% 0.82/1.49 , clause( 806, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.82/1.49 , clause( 807, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.82/1.49 Y, Z ) ) ) ] )
% 0.82/1.49 , clause( 808, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 , clause( 809, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.49 'sk_c3' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 810, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 811, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 812, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.49 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.49 , clause( 813, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 , clause( 814, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.82/1.49 'sk_c3' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 815, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 816, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 817, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.82/1.49 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.49 , clause( 818, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.82/1.49 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 , clause( 819, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.82/1.49 'sk_c7' ) ] )
% 0.82/1.49 , clause( 820, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.82/1.49 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 821, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.82/1.49 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 822, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.82/1.49 'sk_c6' ) ] )
% 0.82/1.49 , clause( 823, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 , clause( 824, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.49 'sk_c3' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 825, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 826, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 827, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.49 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.49 , clause( 828, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.82/1.49 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 , clause( 829, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.82/1.49 'sk_c7' ) ] )
% 0.82/1.49 , clause( 830, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.82/1.49 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 831, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.82/1.49 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 832, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 0.82/1.49 'sk_c6' ) ] )
% 0.82/1.49 , clause( 833, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.82/1.49 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.82/1.49 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 0.82/1.49 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 0.82/1.49 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 0.82/1.49 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 0.82/1.49 ] ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.82/1.49 , clause( 805, [ =( multiply( identity, X ), X ) ] )
% 0.82/1.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.82/1.49 , clause( 806, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.82/1.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 eqswap(
% 0.82/1.49 clause( 839, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.82/1.49 ), Z ) ) ] )
% 0.82/1.49 , clause( 807, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.82/1.49 Y, Z ) ) ) ] )
% 0.82/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.82/1.49 , Z ) ) ] )
% 0.82/1.49 , clause( 839, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.82/1.49 , Y ), Z ) ) ] )
% 0.82/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 3, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 , clause( 808, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.49 ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 6, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 811, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.49 ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 , clause( 813, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.82/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.49 ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.82/1.49 'sk_c3' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 814, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.82/1.49 'sk_c3' ), 'sk_c7' ) ] )
% 0.82/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.49 ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 10, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 815, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.49 ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 816, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.82/1.49 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.49 ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.82/1.49 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.49 , clause( 817, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.82/1.49 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.49 ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.82/1.49 'sk_c7' ) ] )
% 0.82/1.49 , clause( 819, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.82/1.49 'sk_c7' ) ] )
% 0.82/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.49 ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.82/1.49 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , clause( 820, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.82/1.49 'sk_c6' ), 'sk_c7' ) ] )
% 0.82/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.49 ).
% 0.82/1.49
% 0.82/1.49
% 0.82/1.49 subsumption(
% 0.82/1.49 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 7.34/7.75 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 821, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 7.34/7.75 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 7.34/7.75 'sk_c6' ) ] )
% 7.34/7.75 , clause( 822, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 7.34/7.75 'sk_c6' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 19, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 7.34/7.75 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 824, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 7.34/7.75 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 21, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 826, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 22, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , clause( 827, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 24, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 7.34/7.75 'sk_c7' ) ] )
% 7.34/7.75 , clause( 829, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 7.34/7.75 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 7.34/7.75 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 831, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 7.34/7.75 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 27, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 7.34/7.75 'sk_c6' ) ] )
% 7.34/7.75 , clause( 832, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 7.34/7.75 'sk_c6' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 28, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 7.34/7.75 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 7.34/7.75 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 7.34/7.75 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 7.34/7.75 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 7.34/7.75 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 7.34/7.75 , clause( 833, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 7.34/7.75 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 7.34/7.75 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 7.34/7.75 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 7.34/7.75 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 7.34/7.75 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 7.34/7.75 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 7.34/7.75 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ), ==>( 9,
% 7.34/7.75 9 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 factor(
% 7.34/7.75 clause( 7855, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 7.34/7.75 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 7.34/7.75 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 7.34/7.75 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 7.34/7.75 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y
% 7.34/7.75 , 'sk_c6' ), 'sk_c7' ) ) ] )
% 7.34/7.75 , clause( 28, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 7.34/7.75 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 7.34/7.75 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 7.34/7.75 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 7.34/7.75 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( T
% 7.34/7.75 , 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c6' ) ) ] )
% 7.34/7.75 , 4, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 32, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 7.34/7.75 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 7.34/7.75 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 7.34/7.75 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 7.34/7.75 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y
% 7.34/7.75 , 'sk_c6' ), 'sk_c7' ) ) ] )
% 7.34/7.75 , clause( 7855, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 7.34/7.75 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 7.34/7.75 =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c6' ) ),
% 7.34/7.75 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ),
% 7.34/7.75 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Y
% 7.34/7.75 , 'sk_c6' ), 'sk_c7' ) ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.34/7.75 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 7.34/7.75 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12014, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 7.34/7.75 'sk_c7' ) ] )
% 7.34/7.75 , clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 7.34/7.75 'sk_c6' ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12016, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12025, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c6',
% 7.34/7.75 inverse( 'sk_c4' ) ) ] )
% 7.34/7.75 , clause( 12014, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' )
% 7.34/7.75 , 'sk_c7' ) ] )
% 7.34/7.75 , 1, clause( 12016, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12027, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, multiply(
% 7.34/7.75 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , clause( 12025, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c6'
% 7.34/7.75 , inverse( 'sk_c4' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12028, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , clause( 12027, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, multiply(
% 7.34/7.75 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 37, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , clause( 12028, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12030, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 7.34/7.75 Y, Z ) ) ) ] )
% 7.34/7.75 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 7.34/7.75 ), Z ) ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12035, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 7.34/7.75 , identity ) ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, clause( 12030, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 7.34/7.75 multiply( Y, Z ) ) ) ] )
% 7.34/7.75 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 7.34/7.75 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 40, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 7.34/7.75 identity ) ) ] )
% 7.34/7.75 , clause( 12035, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 7.34/7.75 X, identity ) ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 7.34/7.75 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12040, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 7.34/7.75 Y, Z ) ) ) ] )
% 7.34/7.75 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 7.34/7.75 ), Z ) ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12045, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 7.34/7.75 ) ) ] )
% 7.34/7.75 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 7.34/7.75 , 0, clause( 12040, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 7.34/7.75 multiply( Y, Z ) ) ) ] )
% 7.34/7.75 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 7.34/7.75 :=( Y, identity ), :=( Z, Y )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 41, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 7.34/7.75 ] )
% 7.34/7.75 , clause( 12045, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 7.34/7.75 Y ) ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 7.34/7.75 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12050, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , clause( 37, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , 0, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12053, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12054, [ =( identity, multiply( 'sk_c6', 'sk_c4' ) ), =( identity,
% 7.34/7.75 multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , clause( 12050, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , 1, clause( 12053, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12056, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( identity,
% 7.34/7.75 multiply( 'sk_c6', 'sk_c4' ) ) ] )
% 7.34/7.75 , clause( 12054, [ =( identity, multiply( 'sk_c6', 'sk_c4' ) ), =( identity
% 7.34/7.75 , multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12057, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 7.34/7.75 'sk_c7', 'sk_c1' ), identity ) ] )
% 7.34/7.75 , clause( 12056, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( identity
% 7.34/7.75 , multiply( 'sk_c6', 'sk_c4' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 48, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 7.34/7.75 'sk_c7', 'sk_c1' ), identity ) ] )
% 7.34/7.75 , clause( 12057, [ =( multiply( 'sk_c6', 'sk_c4' ), identity ), =( multiply(
% 7.34/7.75 'sk_c7', 'sk_c1' ), identity ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12059, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 7.34/7.75 'sk_c2' ), 'sk_c6' ) ] )
% 7.34/7.75 , clause( 26, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 7.34/7.75 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12061, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12062, [ =( identity, multiply( 'sk_c6', 'sk_c2' ) ), =( 'sk_c7',
% 7.34/7.75 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 7.34/7.75 , clause( 12059, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 7.34/7.75 'sk_c2' ), 'sk_c6' ) ] )
% 7.34/7.75 , 1, clause( 12061, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12064, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity,
% 7.34/7.75 multiply( 'sk_c6', 'sk_c2' ) ) ] )
% 7.34/7.75 , clause( 12062, [ =( identity, multiply( 'sk_c6', 'sk_c2' ) ), =( 'sk_c7'
% 7.34/7.75 , multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12065, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12064, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity
% 7.34/7.75 , multiply( 'sk_c6', 'sk_c2' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 61, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12065, [ =( multiply( 'sk_c6', 'sk_c2' ), identity ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12067, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 7.34/7.75 'sk_c1' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 7.34/7.75 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12069, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12070, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c7',
% 7.34/7.75 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 7.34/7.75 , clause( 12067, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 7.34/7.75 'sk_c1' ), 'sk_c7' ) ] )
% 7.34/7.75 , 1, clause( 12069, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12072, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity,
% 7.34/7.75 multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , clause( 12070, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c7'
% 7.34/7.75 , multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12073, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12072, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c7' ), =( identity
% 7.34/7.75 , multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 73, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12073, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12075, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 7.34/7.75 'sk_c1' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 7.34/7.75 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12077, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12078, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c7',
% 7.34/7.75 multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 7.34/7.75 , clause( 12075, [ =( 'sk_c7', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 7.34/7.75 'sk_c1' ), 'sk_c7' ) ] )
% 7.34/7.75 , 1, clause( 12077, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 7.34/7.75 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12080, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity,
% 7.34/7.75 multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , clause( 12078, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c7'
% 7.34/7.75 , multiply( 'sk_c3', 'sk_c6' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12081, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 7.34/7.75 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12080, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c7' ), =( identity
% 7.34/7.75 , multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 75, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 7.34/7.75 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12081, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 7.34/7.75 'sk_c3', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12083, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 7.34/7.75 ) ) ] )
% 7.34/7.75 , clause( 41, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 7.34/7.75 ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12086, [ =( multiply( inverse( identity ), X ), multiply( identity
% 7.34/7.75 , X ) ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, clause( 12083, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 7.34/7.75 ), Y ) ) ] )
% 7.34/7.75 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 7.34/7.75 inverse( identity ) ), :=( Y, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12087, [ =( multiply( inverse( identity ), X ), X ) ] )
% 7.34/7.75 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 7.34/7.75 , 0, clause( 12086, [ =( multiply( inverse( identity ), X ), multiply(
% 7.34/7.75 identity, X ) ) ] )
% 7.34/7.75 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 88, [ =( multiply( inverse( identity ), X ), X ) ] )
% 7.34/7.75 , clause( 12087, [ =( multiply( inverse( identity ), X ), X ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12090, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 7.34/7.75 Y, Z ) ) ) ] )
% 7.34/7.75 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 7.34/7.75 ), Z ) ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12095, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 7.34/7.75 multiply( X, Y ) ) ] )
% 7.34/7.75 , clause( 88, [ =( multiply( inverse( identity ), X ), X ) ] )
% 7.34/7.75 , 0, clause( 12090, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 7.34/7.75 multiply( Y, Z ) ) ) ] )
% 7.34/7.75 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 7.34/7.75 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 89, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 7.34/7.75 multiply( Y, X ) ) ] )
% 7.34/7.75 , clause( 12095, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 7.34/7.75 multiply( X, Y ) ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 7.34/7.75 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12101, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 7.34/7.75 identity ) ), Y ) ) ] )
% 7.34/7.75 , clause( 89, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 7.34/7.75 multiply( Y, X ) ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12104, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 7.34/7.75 identity, X ) ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, clause( 12101, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 7.34/7.75 identity ) ), Y ) ) ] )
% 7.34/7.75 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 7.34/7.75 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12105, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 7.34/7.75 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 7.34/7.75 , 0, clause( 12104, [ =( multiply( inverse( inverse( identity ) ), X ),
% 7.34/7.75 multiply( identity, X ) ) ] )
% 7.34/7.75 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 132, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 7.34/7.75 , clause( 12105, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 7.34/7.75 )
% 7.34/7.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12107, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 7.34/7.75 , clause( 132, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12109, [ =( inverse( identity ), identity ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, clause( 12107, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 7.34/7.75 ] )
% 7.34/7.75 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 7.34/7.75 , [ :=( X, inverse( identity ) )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 202, [ =( inverse( identity ), identity ) ] )
% 7.34/7.75 , clause( 12109, [ =( inverse( identity ), identity ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12112, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 7.34/7.75 Y ) ), Y ) ) ] )
% 7.34/7.75 , clause( 40, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 7.34/7.75 , identity ) ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12115, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 7.34/7.75 identity, X ) ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, clause( 12112, [ =( multiply( X, identity ), multiply( multiply( X,
% 7.34/7.75 inverse( Y ) ), Y ) ) ] )
% 7.34/7.75 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 7.34/7.75 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12116, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 7.34/7.75 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 7.34/7.75 , 0, clause( 12115, [ =( multiply( inverse( inverse( X ) ), identity ),
% 7.34/7.75 multiply( identity, X ) ) ] )
% 7.34/7.75 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 205, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 7.34/7.75 , clause( 12116, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 7.34/7.75 )
% 7.34/7.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12119, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 7.34/7.75 ) ) ] )
% 7.34/7.75 , clause( 41, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 7.34/7.75 ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12122, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 7.34/7.75 ) ) ] )
% 7.34/7.75 , clause( 205, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 7.34/7.75 , 0, clause( 12119, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 7.34/7.75 ), Y ) ) ] )
% 7.34/7.75 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 7.34/7.75 inverse( X ) ) ), :=( Y, Y )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 206, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 7.34/7.75 ) ] )
% 7.34/7.75 , clause( 12122, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 7.34/7.75 Y ) ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.34/7.75 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12128, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 7.34/7.75 ) ) ] )
% 7.34/7.75 , clause( 206, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 7.34/7.75 ) ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12131, [ =( multiply( X, identity ), X ) ] )
% 7.34/7.75 , clause( 205, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 7.34/7.75 , 0, clause( 12128, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 7.34/7.75 ), Y ) ) ] )
% 7.34/7.75 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 7.34/7.75 :=( Y, identity )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 235, [ =( multiply( X, identity ), X ) ] )
% 7.34/7.75 , clause( 12131, [ =( multiply( X, identity ), X ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12136, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 7.34/7.75 ) ) ] )
% 7.34/7.75 , clause( 206, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 7.34/7.75 ) ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12139, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 7.34/7.75 , 0, clause( 12136, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 7.34/7.75 ), Y ) ) ] )
% 7.34/7.75 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 7.34/7.75 :=( X, X ), :=( Y, inverse( X ) )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.75 , clause( 12139, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12142, [ =( X, multiply( X, identity ) ) ] )
% 7.34/7.75 , clause( 235, [ =( multiply( X, identity ), X ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12145, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 7.34/7.75 , clause( 206, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 7.34/7.75 ) ) ] )
% 7.34/7.75 , 0, clause( 12142, [ =( X, multiply( X, identity ) ) ] )
% 7.34/7.75 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 7.34/7.75 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12146, [ =( inverse( inverse( X ) ), X ) ] )
% 7.34/7.75 , clause( 235, [ =( multiply( X, identity ), X ) ] )
% 7.34/7.75 , 0, clause( 12145, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 7.34/7.75 ] )
% 7.34/7.75 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 266, [ =( inverse( inverse( X ) ), X ) ] )
% 7.34/7.75 , clause( 12146, [ =( inverse( inverse( X ) ), X ) ] )
% 7.34/7.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12148, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c3' ),
% 7.34/7.75 'sk_c7' ) ] )
% 7.34/7.75 , clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 7.34/7.75 'sk_c7' ) ] )
% 7.34/7.75 , 0, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12151, [ =( X, inverse( inverse( X ) ) ) ] )
% 7.34/7.75 , clause( 266, [ =( inverse( inverse( X ) ), X ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12152, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 7.34/7.75 'sk_c1' ) ) ] )
% 7.34/7.75 , clause( 12148, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c3' )
% 7.34/7.75 , 'sk_c7' ) ] )
% 7.34/7.75 , 1, clause( 12151, [ =( X, inverse( inverse( X ) ) ) ] )
% 7.34/7.75 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12154, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c3', inverse(
% 7.34/7.75 'sk_c7' ) ) ] )
% 7.34/7.75 , clause( 12152, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 7.34/7.75 'sk_c1' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12155, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( inverse( 'sk_c1' ),
% 7.34/7.75 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12154, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c3', inverse(
% 7.34/7.75 'sk_c7' ) ) ] )
% 7.34/7.75 , 1, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 289, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( inverse( 'sk_c1' ),
% 7.34/7.75 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12155, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( inverse( 'sk_c1' )
% 7.34/7.75 , 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12156, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , 0, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12159, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.75 , clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12163, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c6',
% 7.34/7.75 multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 7.34/7.75 , clause( 12156, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , 1, clause( 12159, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.75 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12173, [ =( identity, 'sk_c7' ), =( multiply( 'sk_c1', 'sk_c7' ),
% 7.34/7.75 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 7.34/7.75 , clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , 1, clause( 12163, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =(
% 7.34/7.75 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 7.34/7.75 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12239, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 7.34/7.75 'sk_c7' ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 7.34/7.75 , clause( 12173, [ =( identity, 'sk_c7' ), =( multiply( 'sk_c1', 'sk_c7' )
% 7.34/7.75 , 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 7.34/7.75 , 2, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 factor(
% 7.34/7.75 clause( 12245, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 7.34/7.75 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12239, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity
% 7.34/7.75 , 'sk_c7' ), =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ] )
% 7.34/7.75 , 0, 2, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 subsumption(
% 7.34/7.75 clause( 298, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 7.34/7.75 'sk_c7' ) ] )
% 7.34/7.75 , clause( 12245, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity
% 7.34/7.75 , 'sk_c7' ) ] )
% 7.34/7.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.75 ).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12306, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , clause( 37, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , 0, substitution( 0, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12309, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.75 , clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.75 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12313, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( identity,
% 7.34/7.75 multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , clause( 12306, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( inverse(
% 7.34/7.75 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.75 , 1, clause( 12309, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.75 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 paramod(
% 7.34/7.75 clause( 12323, [ =( identity, 'sk_c7' ), =( multiply( 'sk_c7', 'sk_c1' ),
% 7.34/7.75 identity ), =( identity, multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , clause( 73, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 7.34/7.75 'sk_c4', 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.75 , 1, clause( 12313, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =(
% 7.34/7.75 identity, multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.75 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.75
% 7.34/7.75
% 7.34/7.75 eqswap(
% 7.34/7.75 clause( 12389, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( identity,
% 7.34/7.75 'sk_c7' ), =( multiply( 'sk_c7', 'sk_c1' ), identity ) ] )
% 7.34/7.76 , clause( 12323, [ =( identity, 'sk_c7' ), =( multiply( 'sk_c7', 'sk_c1' )
% 7.34/7.76 , identity ), =( identity, multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 7.34/7.76 , 2, substitution( 0, [] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 factor(
% 7.34/7.76 clause( 12395, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( identity,
% 7.34/7.76 'sk_c7' ) ] )
% 7.34/7.76 , clause( 12389, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( identity
% 7.34/7.76 , 'sk_c7' ), =( multiply( 'sk_c7', 'sk_c1' ), identity ) ] )
% 7.34/7.76 , 0, 2, substitution( 0, [] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 subsumption(
% 7.34/7.76 clause( 313, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( identity,
% 7.34/7.76 'sk_c7' ) ] )
% 7.34/7.76 , clause( 12395, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( identity
% 7.34/7.76 , 'sk_c7' ) ] )
% 7.34/7.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.76 ).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 eqswap(
% 7.34/7.76 clause( 12457, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' ),
% 7.34/7.76 'sk_c7' ) ] )
% 7.34/7.76 , clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 7.34/7.76 'sk_c7' ) ] )
% 7.34/7.76 , 1, substitution( 0, [] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 eqswap(
% 7.34/7.76 clause( 12459, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.76 , clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.76 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 paramod(
% 7.34/7.76 clause( 12465, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 7.34/7.76 inverse( 'sk_c3' ) ) ] )
% 7.34/7.76 , clause( 12457, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' )
% 7.34/7.76 , 'sk_c7' ) ] )
% 7.34/7.76 , 1, clause( 12459, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.76 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 paramod(
% 7.34/7.76 clause( 12474, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' ),
% 7.34/7.76 =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 7.34/7.76 , clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 7.34/7.76 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.76 , 0, clause( 12465, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 7.34/7.76 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 7.34/7.76 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 eqswap(
% 7.34/7.76 clause( 12494, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ),
% 7.34/7.76 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.76 , clause( 12474, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 7.34/7.76 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 7.34/7.76 , 2, substitution( 0, [] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 factor(
% 7.34/7.76 clause( 12617, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 7.34/7.76 )
% 7.34/7.76 , clause( 12494, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' )
% 7.34/7.76 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.76 , 0, 2, substitution( 0, [] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 subsumption(
% 7.34/7.76 clause( 316, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 7.34/7.76 )
% 7.34/7.76 , clause( 12617, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' )
% 7.34/7.76 ] )
% 7.34/7.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.76 ).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 eqswap(
% 7.34/7.76 clause( 12619, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 7.34/7.76 'sk_c7' ) ] )
% 7.34/7.76 , clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 7.34/7.76 'sk_c6' ) ] )
% 7.34/7.76 , 1, substitution( 0, [] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 eqswap(
% 7.34/7.76 clause( 12621, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.76 , clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.76 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 paramod(
% 7.34/7.76 clause( 12627, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c6',
% 7.34/7.76 inverse( 'sk_c4' ) ) ] )
% 7.34/7.76 , clause( 12619, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' )
% 7.34/7.76 , 'sk_c7' ) ] )
% 7.34/7.76 , 1, clause( 12621, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.76 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 paramod(
% 7.34/7.76 clause( 12636, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' ),
% 7.34/7.76 =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 7.34/7.76 , clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 7.34/7.76 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.76 , 0, clause( 12627, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 7.34/7.76 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 7.34/7.76 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 eqswap(
% 7.34/7.76 clause( 12656, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ),
% 7.34/7.76 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.76 , clause( 12636, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c6' )
% 7.34/7.76 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 7.34/7.76 , 2, substitution( 0, [] )).
% 7.34/7.76
% 7.34/7.76
% 7.34/7.76 factor(
% 7.34/7.76 clause( 12785, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 12656, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' )
% 7.34/7.77 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.77 , 0, 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 subsumption(
% 7.34/7.77 clause( 318, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 12785, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' )
% 7.34/7.77 ] )
% 7.34/7.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.77 ).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 12786, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' ),
% 7.34/7.77 'sk_c6' ) ] )
% 7.34/7.77 , clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 7.34/7.77 'sk_c6' ) ] )
% 7.34/7.77 , 0, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 12789, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.77 , clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.77 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 12793, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c7',
% 7.34/7.77 inverse( 'sk_c1' ) ) ] )
% 7.34/7.77 , clause( 12786, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' )
% 7.34/7.77 , 'sk_c6' ) ] )
% 7.34/7.77 , 1, clause( 12789, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.77 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 12803, [ =( identity, 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c7' ),
% 7.34/7.77 =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 7.34/7.77 , clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 7.34/7.77 'sk_c6' ), 'sk_c7' ) ] )
% 7.34/7.77 , 1, clause( 12793, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =(
% 7.34/7.77 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 7.34/7.77 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 12869, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ),
% 7.34/7.77 =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 7.34/7.77 , clause( 12803, [ =( identity, 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c7' )
% 7.34/7.77 , =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 7.34/7.77 , 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 factor(
% 7.34/7.77 clause( 12875, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 12869, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' )
% 7.34/7.77 , =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 7.34/7.77 , 0, 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 subsumption(
% 7.34/7.77 clause( 319, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 12875, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' )
% 7.34/7.77 ] )
% 7.34/7.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.77 ).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 12945, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c2' ),
% 7.34/7.77 'sk_c6' ) ] )
% 7.34/7.77 , clause( 24, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 7.34/7.77 'sk_c7' ) ] )
% 7.34/7.77 , 1, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 12947, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.77 , clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.77 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 12949, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( multiply( 'sk_c2',
% 7.34/7.77 'sk_c6' ), 'sk_c5' ) ] )
% 7.34/7.77 , clause( 19, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 7.34/7.77 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.77 , 1, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 12956, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c7',
% 7.34/7.77 inverse( 'sk_c3' ) ) ] )
% 7.34/7.77 , clause( 12945, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( inverse( 'sk_c2' )
% 7.34/7.77 , 'sk_c6' ) ] )
% 7.34/7.77 , 1, clause( 12947, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.77 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 13134, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) ),
% 7.34/7.77 =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 7.34/7.77 , clause( 12949, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( multiply( 'sk_c2',
% 7.34/7.77 'sk_c6' ), 'sk_c5' ) ] )
% 7.34/7.77 , 1, clause( 12956, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 7.34/7.77 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 7.34/7.77 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 factor(
% 7.34/7.77 clause( 13135, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13134, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) )
% 7.34/7.77 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 7.34/7.77 , 1, 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 13145, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c3' ), 'sk_c7' ),
% 7.34/7.77 =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 7.34/7.77 , clause( 316, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 7.34/7.77 )
% 7.34/7.77 , 1, clause( 13135, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3'
% 7.34/7.77 ) ) ] )
% 7.34/7.77 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13211, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ),
% 7.34/7.77 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.77 , clause( 13145, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 7.34/7.77 , =( 'sk_c7', inverse( 'sk_c3' ) ) ] )
% 7.34/7.77 , 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 factor(
% 7.34/7.77 clause( 13217, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13211, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' )
% 7.34/7.77 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.77 , 0, 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 subsumption(
% 7.34/7.77 clause( 320, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 7.34/7.77 , clause( 13217, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' )
% 7.34/7.77 ] )
% 7.34/7.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.77 ).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13273, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' ),
% 7.34/7.77 'sk_c6' ) ] )
% 7.34/7.77 , clause( 27, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 7.34/7.77 'sk_c6' ) ] )
% 7.34/7.77 , 1, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13275, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.77 , clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.34/7.77 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13277, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 7.34/7.77 'sk_c6' ), 'sk_c5' ) ] )
% 7.34/7.77 , clause( 22, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 7.34/7.77 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.77 , 1, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 13284, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c6',
% 7.34/7.77 inverse( 'sk_c4' ) ) ] )
% 7.34/7.77 , clause( 13273, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' )
% 7.34/7.77 , 'sk_c6' ) ] )
% 7.34/7.77 , 1, clause( 13275, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.34/7.77 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 13462, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) ),
% 7.34/7.77 =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 7.34/7.77 , clause( 13277, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 7.34/7.77 'sk_c6' ), 'sk_c5' ) ] )
% 7.34/7.77 , 1, clause( 13284, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 7.34/7.77 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 7.34/7.77 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 factor(
% 7.34/7.77 clause( 13463, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13462, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) )
% 7.34/7.77 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 7.34/7.77 , 1, 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 13473, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c4' ), 'sk_c6' ),
% 7.34/7.77 =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 7.34/7.77 , clause( 318, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 7.34/7.77 )
% 7.34/7.77 , 1, clause( 13463, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4'
% 7.34/7.77 ) ) ] )
% 7.34/7.77 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13539, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ),
% 7.34/7.77 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.77 , clause( 13473, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c4' ), 'sk_c6' )
% 7.34/7.77 , =( 'sk_c6', inverse( 'sk_c4' ) ) ] )
% 7.34/7.77 , 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 factor(
% 7.34/7.77 clause( 13545, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13539, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' )
% 7.34/7.77 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.77 , 0, 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 subsumption(
% 7.34/7.77 clause( 322, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 7.34/7.77 , clause( 13545, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' )
% 7.34/7.77 ] )
% 7.34/7.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.77 ).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13607, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 320, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 7.34/7.77 )
% 7.34/7.77 , 0, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 13610, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) ),
% 7.34/7.77 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.77 , clause( 13607, [ =( 'sk_c7', inverse( 'sk_c3' ) ), =( 'sk_c6', 'sk_c5' )
% 7.34/7.77 ] )
% 7.34/7.77 , 1, clause( 316, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c6'
% 7.34/7.77 ) ] )
% 7.34/7.77 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13612, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ),
% 7.34/7.77 =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.77 , clause( 13610, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c3' ) )
% 7.34/7.77 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.77 , 1, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 factor(
% 7.34/7.77 clause( 13617, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13612, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' )
% 7.34/7.77 , =( inverse( 'sk_c3' ), 'sk_c7' ) ] )
% 7.34/7.77 , 0, 2, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 subsumption(
% 7.34/7.77 clause( 324, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13617, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' )
% 7.34/7.77 ] )
% 7.34/7.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.77 ).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13621, [ =( 'sk_c5', identity ), =( inverse( 'sk_c3' ), 'sk_c7' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 324, [ =( inverse( 'sk_c3' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 7.34/7.77 )
% 7.34/7.77 , 1, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13623, [ =( X, inverse( inverse( X ) ) ) ] )
% 7.34/7.77 , clause( 266, [ =( inverse( inverse( X ) ), X ) ] )
% 7.34/7.77 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 paramod(
% 7.34/7.77 clause( 13624, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c5', identity ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13621, [ =( 'sk_c5', identity ), =( inverse( 'sk_c3' ), 'sk_c7' )
% 7.34/7.77 ] )
% 7.34/7.77 , 1, clause( 13623, [ =( X, inverse( inverse( X ) ) ) ] )
% 7.34/7.77 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13626, [ =( identity, 'sk_c5' ), =( 'sk_c3', inverse( 'sk_c7' ) ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13624, [ =( 'sk_c3', inverse( 'sk_c7' ) ), =( 'sk_c5', identity )
% 7.34/7.77 ] )
% 7.34/7.77 , 1, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 eqswap(
% 7.34/7.77 clause( 13627, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13626, [ =( identity, 'sk_c5' ), =( 'sk_c3', inverse( 'sk_c7' ) )
% 7.34/7.77 ] )
% 7.34/7.77 , 1, substitution( 0, [] )).
% 7.34/7.77
% 7.34/7.77
% 7.34/7.77 subsumption(
% 7.34/7.77 clause( 326, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' ) ]
% 7.34/7.77 )
% 7.34/7.77 , clause( 13627, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( identity, 'sk_c5' )
% 7.34/7.78 ] )
% 7.34/7.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.78 ).
% 7.34/7.78
% 7.34/7.78
% 7.34/7.78 eqswap(
% 7.34/7.78 clause( 13631, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 7.34/7.78 )
% 7.34/7.78 , clause( 322, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ]
% 7.34/7.78 )
% 7.34/7.78 , 0, substitution( 0, [] )).
% 7.34/7.78
% 7.34/7.78
% 7.34/7.78 paramod(
% 7.34/7.78 clause( 13635, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) ),
% 7.34/7.78 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.78 , clause( 13631, [ =( 'sk_c6', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' )
% 7.34/7.78 ] )
% 7.34/7.78 , 1, clause( 318, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c6'
% 7.34/7.78 ) ] )
% 7.34/7.78 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.34/7.78
% 7.34/7.78
% 7.34/7.78 eqswap(
% 7.34/7.78 clause( 13692, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ),
% 7.34/7.78 =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.78 , clause( 13635, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c4' ) )
% 7.34/7.78 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.78 , 1, substitution( 0, [] )).
% 7.34/7.78
% 7.34/7.78
% 7.34/7.78 factor(
% 7.34/7.78 clause( 13697, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 7.34/7.78 )
% 7.34/7.78 , clause( 13692, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' )
% 7.34/7.78 , =( inverse( 'sk_c4' ), 'sk_c6' ) ] )
% 7.34/7.78 , 0, 2, substitution( 0, [] )).
% 7.34/7.78
% 7.34/7.78
% 7.34/7.78 subsumption(
% 7.34/7.78 clause( 335, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 7.34/7.78 )
% 7.34/7.78 , clause( 13697, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' )
% 7.34/7.78 ] )
% 7.34/7.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.34/7.78 ).
% 7.34/7.78
% 7.34/7.78
% 7.34/7.78 eqswap(
% 7.34/7.78 clause( 13701, [ =( 'sk_c5', identity ), =( inverse( 'sk_c4' ), 'sk_c6' ) ]
% 7.34/7.78 )
% 7.34/7.78 , clause( 335, [ =( inverse( 'sk_c4' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 7.34/7.78 )
% 7.34/7.78 , 1, substitution( 0, [] )).
% 7.34/7.78
% 7.34/7.78
% 7.34/7.78 eqswap(
% 7.34/7.78 clause( 13703, [ =( X, inverse( inverse( X ) ) ) ] )
% 7.34/7.78 , clause( 266, [ =( inverse( inverse( X ) ), X ) ] )
% 7.34/7.78 , 0, substitution( 0, [ :=( X, X )] )).
% 7.34/7.78
% 7.34/7.78
% 7.34/7.78 paramod(
% 7.34/7.78 clause( 13704, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c5', identity ) ]
% 7.34/7.78 )
% 7.34/7.78 , clause( 13701, [ =( 'sk_c5', identity ), =( inverse( 'sk_c4' ), 'sk_c6' )
% 7.34/7.78 ] )
% 7.34/7.78 , 1, clause( 13703, [ =( X, inverse( inverse( X ) ) ) ] )
% 7.44/7.78 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13706, [ =( identity, 'sk_c5' ), =( 'sk_c4', inverse( 'sk_c6' ) ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 13704, [ =( 'sk_c4', inverse( 'sk_c6' ) ), =( 'sk_c5', identity )
% 7.44/7.78 ] )
% 7.44/7.78 , 1, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13707, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 13706, [ =( identity, 'sk_c5' ), =( 'sk_c4', inverse( 'sk_c6' ) )
% 7.44/7.78 ] )
% 7.44/7.78 , 1, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 subsumption(
% 7.44/7.78 clause( 337, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 13707, [ =( inverse( 'sk_c6' ), 'sk_c4' ), =( identity, 'sk_c5' )
% 7.44/7.78 ] )
% 7.44/7.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.44/7.78 ).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13709, [ =( 'sk_c7', identity ), =( inverse( 'sk_c1' ), 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 319, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , 1, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13711, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.44/7.78 , clause( 265, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 7.44/7.78 , 0, substitution( 0, [ :=( X, X )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 13717, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 7.44/7.78 identity ) ] )
% 7.44/7.78 , clause( 13709, [ =( 'sk_c7', identity ), =( inverse( 'sk_c1' ), 'sk_c7' )
% 7.44/7.78 ] )
% 7.44/7.78 , 1, clause( 13711, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 7.44/7.78 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 13738, [ =( identity, 'sk_c6' ), =( identity, 'sk_c7' ), =( 'sk_c7'
% 7.44/7.78 , identity ) ] )
% 7.44/7.78 , clause( 298, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( identity,
% 7.44/7.78 'sk_c7' ) ] )
% 7.44/7.78 , 0, clause( 13717, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 7.44/7.78 'sk_c7', identity ) ] )
% 7.44/7.78 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13762, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ), =(
% 7.44/7.78 identity, 'sk_c7' ) ] )
% 7.44/7.78 , clause( 13738, [ =( identity, 'sk_c6' ), =( identity, 'sk_c7' ), =(
% 7.44/7.78 'sk_c7', identity ) ] )
% 7.44/7.78 , 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 factor(
% 7.44/7.78 clause( 13921, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , clause( 13762, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ), =(
% 7.44/7.78 identity, 'sk_c7' ) ] )
% 7.44/7.78 , 0, 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 subsumption(
% 7.44/7.78 clause( 346, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , clause( 13921, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.44/7.78 ).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13923, [ =( 'sk_c7', identity ), =( inverse( 'sk_c1' ), 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 319, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , 1, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13925, [ =( X, inverse( inverse( X ) ) ) ] )
% 7.44/7.78 , clause( 266, [ =( inverse( inverse( X ) ), X ) ] )
% 7.44/7.78 , 0, substitution( 0, [ :=( X, X )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 13926, [ =( 'sk_c1', inverse( 'sk_c7' ) ), =( 'sk_c7', identity ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 13923, [ =( 'sk_c7', identity ), =( inverse( 'sk_c1' ), 'sk_c7' )
% 7.44/7.78 ] )
% 7.44/7.78 , 1, clause( 13925, [ =( X, inverse( inverse( X ) ) ) ] )
% 7.44/7.78 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13928, [ =( identity, 'sk_c7' ), =( 'sk_c1', inverse( 'sk_c7' ) ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 13926, [ =( 'sk_c1', inverse( 'sk_c7' ) ), =( 'sk_c7', identity )
% 7.44/7.78 ] )
% 7.44/7.78 , 1, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13929, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( identity, 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 13928, [ =( identity, 'sk_c7' ), =( 'sk_c1', inverse( 'sk_c7' ) )
% 7.44/7.78 ] )
% 7.44/7.78 , 1, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 subsumption(
% 7.44/7.78 clause( 347, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( identity, 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 13929, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( identity, 'sk_c7' )
% 7.44/7.78 ] )
% 7.44/7.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.44/7.78 ).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13930, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( identity, 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 319, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( identity, 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , 0, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 13933, [ =( identity, inverse( identity ) ) ] )
% 7.44/7.78 , clause( 202, [ =( inverse( identity ), identity ) ] )
% 7.44/7.78 , 0, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 13938, [ =( identity, inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 7.44/7.78 'sk_c1' ) ) ] )
% 7.44/7.78 , clause( 13930, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( identity, 'sk_c7' )
% 7.44/7.78 ] )
% 7.44/7.78 , 1, clause( 13933, [ =( identity, inverse( identity ) ) ] )
% 7.44/7.78 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 13939, [ =( 'sk_c7', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 7.44/7.78 'sk_c1' ) ), =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 7.44/7.78 , clause( 13930, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( identity, 'sk_c7' )
% 7.44/7.78 ] )
% 7.44/7.78 , 1, clause( 13938, [ =( identity, inverse( 'sk_c7' ) ), =( 'sk_c7',
% 7.44/7.78 inverse( 'sk_c1' ) ) ] )
% 7.44/7.78 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 factor(
% 7.44/7.78 clause( 13940, [ =( 'sk_c7', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 7.44/7.78 'sk_c1' ) ) ] )
% 7.44/7.78 , clause( 13939, [ =( 'sk_c7', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 7.44/7.78 'sk_c1' ) ), =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 7.44/7.78 , 1, 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 14093, [ =( 'sk_c7', 'sk_c3' ), =( inverse( 'sk_c1' ), 'sk_c7' ),
% 7.44/7.78 =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 7.44/7.78 , clause( 289, [ =( inverse( 'sk_c7' ), 'sk_c3' ), =( inverse( 'sk_c1' ),
% 7.44/7.78 'sk_c7' ) ] )
% 7.44/7.78 , 0, clause( 13940, [ =( 'sk_c7', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 7.44/7.78 'sk_c1' ) ) ] )
% 7.44/7.78 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14113, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c7', 'sk_c3' ),
% 7.44/7.78 =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 7.44/7.78 , clause( 14093, [ =( 'sk_c7', 'sk_c3' ), =( inverse( 'sk_c1' ), 'sk_c7' )
% 7.44/7.78 , =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 7.44/7.78 , 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14114, [ =( 'sk_c3', 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c7' ),
% 7.44/7.78 =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 7.44/7.78 , clause( 14113, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c7', 'sk_c3' )
% 7.44/7.78 , =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 7.44/7.78 , 1, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 factor(
% 7.44/7.78 clause( 14227, [ =( 'sk_c3', 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 14114, [ =( 'sk_c3', 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c7' )
% 7.44/7.78 , =( inverse( 'sk_c1' ), 'sk_c7' ) ] )
% 7.44/7.78 , 1, 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 subsumption(
% 7.44/7.78 clause( 350, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c3', 'sk_c7' ) ] )
% 7.44/7.78 , clause( 14227, [ =( 'sk_c3', 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c7' )
% 7.44/7.78 ] )
% 7.44/7.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 7.44/7.78 ).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqfact(
% 7.44/7.78 clause( 14232, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , clause( 346, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 0, 1, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 subsumption(
% 7.44/7.78 clause( 352, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , clause( 14232, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.44/7.78 ).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14243, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , clause( 352, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 0, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqfact(
% 7.44/7.78 clause( 14247, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 7.44/7.78 , clause( 346, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 1, 0, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 14260, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c6', 'sk_c7' ) ), ~( =(
% 7.44/7.78 'sk_c6', 'sk_c7' ) ) ] )
% 7.44/7.78 , clause( 14243, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 1, clause( 14247, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c7' ) ]
% 7.44/7.78 )
% 7.44/7.78 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14263, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c7' ), ~( =(
% 7.44/7.78 'sk_c6', 'sk_c7' ) ) ] )
% 7.44/7.78 , clause( 14260, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c6', 'sk_c7' ) ), ~(
% 7.44/7.78 =( 'sk_c6', 'sk_c7' ) ) ] )
% 7.44/7.78 , 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14265, [ ~( =( 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c6' ) ),
% 7.44/7.78 =( 'sk_c6', 'sk_c7' ) ] )
% 7.44/7.78 , clause( 14263, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c7' ), ~(
% 7.44/7.78 =( 'sk_c6', 'sk_c7' ) ) ] )
% 7.44/7.78 , 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14266, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~( =(
% 7.44/7.78 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.78 , clause( 14265, [ ~( =( 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c6' ) ),
% 7.44/7.78 =( 'sk_c6', 'sk_c7' ) ] )
% 7.44/7.78 , 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 factor(
% 7.44/7.78 clause( 14269, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.78 , clause( 14266, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~(
% 7.44/7.78 =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.78 , 1, 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 subsumption(
% 7.44/7.78 clause( 353, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 7.44/7.78 , clause( 14269, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 7.44/7.78 ).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14272, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , clause( 352, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 0, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14275, [ =( X, multiply( X, identity ) ) ] )
% 7.44/7.78 , clause( 235, [ =( multiply( X, identity ), X ) ] )
% 7.44/7.78 , 0, substitution( 0, [ :=( X, X )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 14276, [ =( X, multiply( X, 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' ) )
% 7.44/7.78 ] )
% 7.44/7.78 , clause( 14272, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 1, clause( 14275, [ =( X, multiply( X, identity ) ) ] )
% 7.44/7.78 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14278, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( X, multiply( X, 'sk_c6' ) )
% 7.44/7.78 ] )
% 7.44/7.78 , clause( 14276, [ =( X, multiply( X, 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' )
% 7.44/7.78 ) ] )
% 7.44/7.78 , 1, substitution( 0, [ :=( X, X )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14279, [ =( multiply( X, 'sk_c6' ), X ), ~( =( 'sk_c7', 'sk_c6' ) )
% 7.44/7.78 ] )
% 7.44/7.78 , clause( 14278, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( X, multiply( X, 'sk_c6' )
% 7.44/7.78 ) ] )
% 7.44/7.78 , 1, substitution( 0, [ :=( X, X )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 subsumption(
% 7.44/7.78 clause( 356, [ =( multiply( X, 'sk_c6' ), X ), ~( =( 'sk_c7', 'sk_c6' ) ) ]
% 7.44/7.78 )
% 7.44/7.78 , clause( 14279, [ =( multiply( X, 'sk_c6' ), X ), ~( =( 'sk_c7', 'sk_c6' )
% 7.44/7.78 ) ] )
% 7.44/7.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.44/7.78 1 )] ) ).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14283, [ =( identity, inverse( identity ) ) ] )
% 7.44/7.78 , clause( 202, [ =( inverse( identity ), identity ) ] )
% 7.44/7.78 , 0, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 14309, [ =( identity, inverse( 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c6'
% 7.44/7.78 ) ) ] )
% 7.44/7.78 , clause( 352, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 1, clause( 14283, [ =( identity, inverse( identity ) ) ] )
% 7.44/7.78 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 14310, [ =( 'sk_c6', inverse( 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c6' )
% 7.44/7.78 ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.78 , clause( 352, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 1, clause( 14309, [ =( identity, inverse( 'sk_c6' ) ), ~( =( 'sk_c7',
% 7.44/7.78 'sk_c6' ) ) ] )
% 7.44/7.78 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14314, [ =( inverse( 'sk_c6' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' )
% 7.44/7.78 ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.78 , clause( 14310, [ =( 'sk_c6', inverse( 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c6'
% 7.44/7.78 ) ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.78 , 0, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 factor(
% 7.44/7.78 clause( 14318, [ =( inverse( 'sk_c6' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' )
% 7.44/7.78 ) ] )
% 7.44/7.78 , clause( 14314, [ =( inverse( 'sk_c6' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6'
% 7.44/7.78 ) ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.78 , 1, 2, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 subsumption(
% 7.44/7.78 clause( 357, [ =( inverse( 'sk_c6' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) )
% 7.44/7.78 ] )
% 7.44/7.78 , clause( 14318, [ =( inverse( 'sk_c6' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6'
% 7.44/7.78 ) ) ] )
% 7.44/7.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.44/7.78 ).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14320, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , clause( 352, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 0, substitution( 0, [] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 eqswap(
% 7.44/7.78 clause( 14323, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 7.44/7.78 , clause( 132, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 7.44/7.78 , 0, substitution( 0, [ :=( X, X )] )).
% 7.44/7.78
% 7.44/7.78
% 7.44/7.78 paramod(
% 7.44/7.78 clause( 14325, [ =( X, multiply( inverse( inverse( 'sk_c6' ) ), X ) ), ~(
% 7.44/7.78 =( 'sk_c6', 'sk_c7' ) ) ] )
% 7.44/7.78 , clause( 14320, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( identity, 'sk_c6' ) ] )
% 7.44/7.78 , 1, clause( 14323, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 7.44/7.78 ] )
% 7.44/7.79 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 paramod(
% 7.44/7.79 clause( 14326, [ =( X, multiply( 'sk_c6', X ) ), ~( =( 'sk_c6', 'sk_c7' ) )
% 7.44/7.79 ] )
% 7.44/7.79 , clause( 206, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 7.44/7.79 ) ) ] )
% 7.44/7.79 , 0, clause( 14325, [ =( X, multiply( inverse( inverse( 'sk_c6' ) ), X ) )
% 7.44/7.79 , ~( =( 'sk_c6', 'sk_c7' ) ) ] )
% 7.44/7.79 , 0, 2, substitution( 0, [ :=( X, 'sk_c6' ), :=( Y, X )] ), substitution( 1
% 7.44/7.79 , [ :=( X, X )] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 eqswap(
% 7.44/7.79 clause( 14328, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( X, multiply( 'sk_c6', X ) )
% 7.44/7.79 ] )
% 7.44/7.79 , clause( 14326, [ =( X, multiply( 'sk_c6', X ) ), ~( =( 'sk_c6', 'sk_c7' )
% 7.44/7.79 ) ] )
% 7.44/7.79 , 1, substitution( 0, [ :=( X, X )] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 eqswap(
% 7.44/7.79 clause( 14329, [ =( multiply( 'sk_c6', X ), X ), ~( =( 'sk_c7', 'sk_c6' ) )
% 7.44/7.79 ] )
% 7.44/7.79 , clause( 14328, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( X, multiply( 'sk_c6', X )
% 7.44/7.79 ) ] )
% 7.44/7.79 , 1, substitution( 0, [ :=( X, X )] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 subsumption(
% 7.44/7.79 clause( 358, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( multiply( 'sk_c6', X ), X ) ]
% 7.44/7.79 )
% 7.44/7.79 , clause( 14329, [ =( multiply( 'sk_c6', X ), X ), ~( =( 'sk_c7', 'sk_c6' )
% 7.44/7.79 ) ] )
% 7.44/7.79 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 7.44/7.79 0 )] ) ).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 eqswap(
% 7.44/7.79 clause( 14330, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 7.44/7.79 , clause( 353, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 7.44/7.79 , 0, substitution( 0, [] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 eqswap(
% 7.44/7.79 clause( 14333, [ =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ), =( multiply(
% 7.44/7.79 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 7.44/7.79 , clause( 3, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 7.44/7.79 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 7.44/7.79 , 0, substitution( 0, [] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 paramod(
% 7.44/7.79 clause( 14340, [ =( multiply( 'sk_c6', 'sk_c6' ), 'sk_c5' ), ~( =( 'sk_c6'
% 7.44/7.79 , 'sk_c7' ) ), =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.79 , clause( 14330, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 7.44/7.79 , 1, clause( 14333, [ =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ), =(
% 7.44/7.79 multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 7.44/7.79 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 paramod(
% 7.44/7.79 clause( 14342, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6'
% 7.44/7.79 , 'sk_c7' ) ), =( multiply( 'sk_c6', 'sk_c6' ), 'sk_c5' ), ~( =( 'sk_c6'
% 7.44/7.79 , 'sk_c7' ) ) ] )
% 7.44/7.79 , clause( 14330, [ ~( =( 'sk_c6', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 7.44/7.79 , 1, clause( 14340, [ =( multiply( 'sk_c6', 'sk_c6' ), 'sk_c5' ), ~( =(
% 7.44/7.79 'sk_c6', 'sk_c7' ) ), =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ] )
% 7.44/7.79 , 2, 3, substitution( 0, [] ), substitution( 1, [] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 factor(
% 7.44/7.79 clause( 14352, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6'
% 7.44/7.79 , 'sk_c7' ) ), =( multiply( 'sk_c6', 'sk_c6' ), 'sk_c5' ) ] )
% 7.44/7.79 , clause( 14342, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c6' ) ), ~( =(
% 7.44/7.79 'sk_c6', 'sk_c7' ) ), =( multiply( 'sk_c6', 'sk_c6' ), 'sk_c5' ), ~( =(
% 7.44/7.79 'sk_c6', 'sk_c7' ) ) ] )
% 7.44/7.79 , 1, 3, substitution( 0, [] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 paramod(
% 7.44/7.79 clause( 15271, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 7.44/7.79 'sk_c5', multiply( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' ) ) ] )
% 7.44/7.79 , clause( 356, [ =( multiply( X, 'sk_c6' ), X ), ~( =( 'sk_c7', 'sk_c6' ) )
% 7.44/7.79 ] )
% 7.44/7.79 , 0, clause( 14352, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c6' ) ), ~( =(
% 7.44/7.79 'sk_c6', 'sk_c7' ) ), =( multiply( 'sk_c6', 'sk_c6' ), 'sk_c5' ) ] )
% 7.44/7.79 , 2, 1, substitution( 0, [ :=( X, 'sk_c6' )] ), substitution( 1, [] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 paramod(
% 7.44/7.79 clause( 15272, [ =( 'sk_c5', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 7.44/7.79 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' )
% 7.44/7.79 ) ] )
% 7.44/7.79 , clause( 356, [ =( multiply( X, 'sk_c6' ), X ), ~( =( 'sk_c7', 'sk_c6' ) )
% 7.44/7.79 ] )
% 7.44/7.79 , 0, clause( 15271, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ),
% 7.44/7.79 =( 'sk_c5', multiply( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' ) ) ]
% 7.44/7.79 )
% 7.44/7.79 , 2, 2, substitution( 0, [ :=( X, 'sk_c6' )] ), substitution( 1, [] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 eqswap(
% 7.44/7.79 clause( 15285, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c5', 'sk_c6' ), ~( =(
% 7.44/7.79 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ) ]
% 7.44/7.79 )
% 7.44/7.79 , clause( 15272, [ =( 'sk_c5', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c6' ) ), =(
% 7.44/7.79 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c7' )
% 7.44/7.79 ) ] )
% 7.44/7.79 , 4, substitution( 0, [] )).
% 7.44/7.79
% 7.44/7.79
% 7.44/7.79 eqswap(
% 7.45/7.80 clause( 15286, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~( =(
% 7.45/7.80 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ) ]
% 7.45/7.80 )
% 7.45/7.80 , clause( 15285, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c5', 'sk_c6' ), ~(
% 7.45/7.80 =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' )
% 7.45/7.80 ) ] )
% 7.45/7.80 , 1, substitution( 0, [] )).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 factor(
% 7.45/7.80 clause( 15292, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~( =(
% 7.45/7.80 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.45/7.80 , clause( 15286, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~(
% 7.45/7.80 =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' )
% 7.45/7.80 ) ] )
% 7.45/7.80 , 0, 3, substitution( 0, [] )).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 factor(
% 7.45/7.80 clause( 15293, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~( =(
% 7.45/7.80 'sk_c7', 'sk_c6' ) ) ] )
% 7.45/7.80 , clause( 15292, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~(
% 7.45/7.80 =( 'sk_c7', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.45/7.80 , 1, 2, substitution( 0, [] )).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 factor(
% 7.45/7.80 clause( 15294, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.45/7.80 , clause( 15293, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ), ~(
% 7.45/7.80 =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.45/7.80 , 1, 2, substitution( 0, [] )).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 subsumption(
% 7.45/7.80 clause( 368, [ ~( =( 'sk_c7', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 7.45/7.80 , clause( 15294, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c7', 'sk_c6' ) ) ] )
% 7.45/7.80 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 7.45/7.80 ).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 eqswap(
% 7.45/7.80 clause( 15303, [ =( 'sk_c6', identity ), =( identity, 'sk_c7' ) ] )
% 7.45/7.80 , clause( 346, [ =( identity, 'sk_c7' ), =( identity, 'sk_c6' ) ] )
% 7.45/7.80 , 1, substitution( 0, [] )).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 eqswap(
% 7.45/7.80 clause( 15305, [ =( X, multiply( X, identity ) ) ] )
% 7.45/7.80 , clause( 235, [ =( multiply( X, identity ), X ) ] )
% 7.45/7.80 , 0, substitution( 0, [ :=( X, X )] )).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 paramod(
% 7.45/7.80 clause( 15402, [ =( X, multiply( X, 'sk_c7' ) ), =( 'sk_c6', identity ) ]
% 7.45/7.80 )
% 7.45/7.80 , clause( 15303, [ =( 'sk_c6', identity ), =( identity, 'sk_c7' ) ] )
% 7.45/7.80 , 1, clause( 15305, [ =( X, multiply( X, identity ) ) ] )
% 7.45/7.80 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 eqswap(
% 7.45/7.80 clause( 15448, [ =( identity, 'sk_c6' ), =( X, multiply( X, 'sk_c7' ) ) ]
% 7.45/7.80 )
% 7.45/7.80 , clause( 15402, [ =( X, multiply( X, 'sk_c7' ) ), =( 'sk_c6', identity ) ]
% 7.45/7.80 )
% 7.45/7.80 , 1, substitution( 0, [ :=( X, X )] )).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 eqswap(
% 7.45/7.80 clause( 15449, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c6' ) ]
% 7.45/7.80 )
% 7.45/7.80 , clause( 15448, [ =( identity, 'sk_c6' ), =( X, multiply( X, 'sk_c7' ) ) ]
% 7.45/7.80 )
% 7.45/7.80 , 1, substitution( 0, [ :=( X, X )] )).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 subsumption(
% 7.45/7.80 clause( 390, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c6' ) ] )
% 7.45/7.80 , clause( 15449, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c6' ) ]
% 7.45/7.80 )
% 7.45/7.80 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.45/7.80 1 )] ) ).
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 ==> clause( 392, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c6' )
% 7.45/7.80 ] )
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80
% 7.45/7.80 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 7.45/7.80
% 7.45/7.80 Bliksem ended
%------------------------------------------------------------------------------