TSTP Solution File: GRP299-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP299-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:36:25 EDT 2022
% Result : Unsatisfiable 0.78s 1.18s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP299-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 08:28:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.78/1.18 *** allocated 10000 integers for termspace/termends
% 0.78/1.18 *** allocated 10000 integers for clauses
% 0.78/1.18 *** allocated 10000 integers for justifications
% 0.78/1.18 Bliksem 1.12
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Automatic Strategy Selection
% 0.78/1.18
% 0.78/1.18 Clauses:
% 0.78/1.18 [
% 0.78/1.18 [ =( multiply( identity, X ), X ) ],
% 0.78/1.18 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.78/1.18 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.78/1.18 ],
% 0.78/1.18 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c6',
% 0.78/1.18 'sk_c7' ), 'sk_c5' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 0.78/1.18 'sk_c7' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c2',
% 0.78/1.18 'sk_c6' ), 'sk_c7' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 0.78/1.18 'sk_c4' ), 'sk_c6' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 0.78/1.18 'sk_c4' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c4',
% 0.78/1.18 'sk_c7' ), 'sk_c6' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.78/1.18 'sk_c7' ), 'sk_c5' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.78/1.18 'sk_c7' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 0.78/1.18 'sk_c6' ), 'sk_c7' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.78/1.18 'sk_c4' ), 'sk_c6' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.78/1.18 'sk_c4' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.78/1.18 'sk_c7' ), 'sk_c6' ) ],
% 0.78/1.18 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 0.78/1.18 'sk_c5' ) ],
% 0.78/1.18 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ), 'sk_c7' ) ]
% 0.78/1.18 ,
% 0.78/1.18 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2', 'sk_c6' ),
% 0.78/1.18 'sk_c7' ) ],
% 0.78/1.18 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3', 'sk_c4' ),
% 0.78/1.18 'sk_c6' ) ],
% 0.78/1.18 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ), 'sk_c4' ) ]
% 0.78/1.18 ,
% 0.78/1.18 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 0.78/1.18 'sk_c6' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.78/1.18 'sk_c7' ), 'sk_c5' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.78/1.18 'sk_c7' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 0.78/1.18 'sk_c6' ), 'sk_c7' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.78/1.18 'sk_c4' ), 'sk_c6' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.78/1.18 'sk_c4' ) ],
% 0.78/1.18 [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.78/1.18 'sk_c7' ), 'sk_c6' ) ],
% 0.78/1.18 [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( X,
% 0.78/1.18 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply(
% 0.78/1.18 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ),
% 0.78/1.18 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6'
% 0.78/1.18 ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =( inverse( Z )
% 0.78/1.18 , T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ]
% 0.78/1.18 ] .
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 percentage equality = 1.000000, percentage horn = 0.142857
% 0.78/1.18 This is a pure equality problem
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Options Used:
% 0.78/1.18
% 0.78/1.18 useres = 1
% 0.78/1.18 useparamod = 1
% 0.78/1.18 useeqrefl = 1
% 0.78/1.18 useeqfact = 1
% 0.78/1.18 usefactor = 1
% 0.78/1.18 usesimpsplitting = 0
% 0.78/1.18 usesimpdemod = 5
% 0.78/1.18 usesimpres = 3
% 0.78/1.18
% 0.78/1.18 resimpinuse = 1000
% 0.78/1.18 resimpclauses = 20000
% 0.78/1.18 substype = eqrewr
% 0.78/1.18 backwardsubs = 1
% 0.78/1.18 selectoldest = 5
% 0.78/1.18
% 0.78/1.18 litorderings [0] = split
% 0.78/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.18
% 0.78/1.18 termordering = kbo
% 0.78/1.18
% 0.78/1.18 litapriori = 0
% 0.78/1.18 termapriori = 1
% 0.78/1.18 litaposteriori = 0
% 0.78/1.18 termaposteriori = 0
% 0.78/1.18 demodaposteriori = 0
% 0.78/1.18 ordereqreflfact = 0
% 0.78/1.18
% 0.78/1.18 litselect = negord
% 0.78/1.18
% 0.78/1.18 maxweight = 15
% 0.78/1.18 maxdepth = 30000
% 0.78/1.18 maxlength = 115
% 0.78/1.18 maxnrvars = 195
% 0.78/1.18 excuselevel = 1
% 0.78/1.18 increasemaxweight = 1
% 0.78/1.18
% 0.78/1.18 maxselected = 10000000
% 0.78/1.18 maxnrclauses = 10000000
% 0.78/1.18
% 0.78/1.18 showgenerated = 0
% 0.78/1.18 showkept = 0
% 0.78/1.18 showselected = 0
% 0.78/1.18 showdeleted = 0
% 0.78/1.18 showresimp = 1
% 0.78/1.18 showstatus = 2000
% 0.78/1.18
% 0.78/1.18 prologoutput = 1
% 0.78/1.18 nrgoals = 5000000
% 0.78/1.18 totalproof = 1
% 0.78/1.18
% 0.78/1.18 Symbols occurring in the translation:
% 0.78/1.18
% 0.78/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.18 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.78/1.18 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.78/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.18 identity [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.78/1.18 multiply [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.78/1.18 inverse [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.78/1.18 'sk_c7' [45, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.78/1.18 'sk_c6' [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.78/1.18 'sk_c5' [47, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.78/1.18 'sk_c2' [48, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.78/1.18 'sk_c3' [49, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.78/1.18 'sk_c4' [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.78/1.18 'sk_c1' [51, 0] (w:1, o:9, a:1, s:1, b:0).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Starting Search:
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Bliksems!, er is een bewijs:
% 0.78/1.18 % SZS status Unsatisfiable
% 0.78/1.18 % SZS output start Refutation
% 0.78/1.18
% 0.78/1.18 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.78/1.18 , Z ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 3, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 5, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 13, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.78/1.18 'sk_c3' ), 'sk_c4' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ),
% 0.78/1.18 'sk_c7' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2',
% 0.78/1.18 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.78/1.18 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 19, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.78/1.18 'sk_c4' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 22, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.78/1.18 'sk_c2' ), 'sk_c7' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 23, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 27, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.78/1.18 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.78/1.18 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 0.78/1.18 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 0.78/1.18 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 0.78/1.18 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 28, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.78/1.18 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ),
% 0.78/1.18 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 0.78/1.18 inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~(
% 0.78/1.18 =( multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =(
% 0.78/1.18 multiply( Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 30, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.78/1.18 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.78/1.18 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 0.78/1.18 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 0.78/1.18 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =(
% 0.78/1.18 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 41, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.78/1.18 identity ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 42, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.78/1.18 ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 52, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 0.78/1.18 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 71, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 72, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.78/1.18 multiply( Y, X ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 178, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 183, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 184, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.78/1.18 ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 203, [ =( multiply( X, identity ), X ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 250, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 0.78/1.18 'sk_c6' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 260, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 0.78/1.18 )
% 0.78/1.18 .
% 0.78/1.18 clause( 272, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 276, [ =( identity, 'sk_c6' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 279, [ =( multiply( 'sk_c6', X ), X ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 287, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c2', 'sk_c7' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 290, [ =( 'sk_c2', 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 294, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 0.78/1.18 'sk_c5' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 301, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 317, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( inverse(
% 0.78/1.18 'sk_c5' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c5'
% 0.78/1.18 ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 320, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 321, [ =( inverse( 'sk_c1' ), 'sk_c5' ), =( 'sk_c2', 'sk_c5' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 326, [ =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 328, [ ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 0.78/1.18 inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c5' ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 330, [ =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 331, [ =( inverse( 'sk_c5' ), 'sk_c1' ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 332, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c1' ), X ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 334, [ ~( =( 'sk_c1', 'sk_c5' ) ) ] )
% 0.78/1.18 .
% 0.78/1.18 clause( 338, [] )
% 0.78/1.18 .
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 % SZS output end Refutation
% 0.78/1.18 found a proof!
% 0.78/1.18
% 0.78/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.18
% 0.78/1.18 initialclauses(
% 0.78/1.18 [ clause( 340, [ =( multiply( identity, X ), X ) ] )
% 0.78/1.18 , clause( 341, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.78/1.18 , clause( 342, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.78/1.18 Y, Z ) ) ) ] )
% 0.78/1.18 , clause( 343, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.78/1.18 , clause( 344, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.78/1.18 'sk_c2' ), 'sk_c7' ) ] )
% 0.78/1.18 , clause( 345, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 , clause( 346, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 347, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.78/1.18 'sk_c3' ), 'sk_c4' ) ] )
% 0.78/1.18 , clause( 348, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 349, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.78/1.18 , clause( 350, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.78/1.18 'sk_c2' ), 'sk_c7' ) ] )
% 0.78/1.18 , clause( 351, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 , clause( 352, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 353, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.78/1.18 'sk_c3' ), 'sk_c4' ) ] )
% 0.78/1.18 , clause( 354, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 355, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.78/1.18 'sk_c7' ), 'sk_c5' ) ] )
% 0.78/1.18 , clause( 356, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ),
% 0.78/1.18 'sk_c7' ) ] )
% 0.78/1.18 , clause( 357, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2',
% 0.78/1.18 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 , clause( 358, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.78/1.18 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 359, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.78/1.18 'sk_c4' ) ] )
% 0.78/1.18 , clause( 360, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.78/1.18 'sk_c7' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 361, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.78/1.18 , clause( 362, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.78/1.18 'sk_c2' ), 'sk_c7' ) ] )
% 0.78/1.18 , clause( 363, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 , clause( 364, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 365, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.78/1.18 'sk_c3' ), 'sk_c4' ) ] )
% 0.78/1.18 , clause( 366, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 367, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.78/1.18 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.78/1.18 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 0.78/1.18 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 0.78/1.18 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 0.78/1.18 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.78/1.18 ] ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.78/1.18 , clause( 340, [ =( multiply( identity, X ), X ) ] )
% 0.78/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.78/1.18 , clause( 341, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.78/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 eqswap(
% 0.78/1.18 clause( 373, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.78/1.18 ), Z ) ) ] )
% 0.78/1.18 , clause( 342, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.78/1.18 Y, Z ) ) ) ] )
% 0.78/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.78/1.18 , Z ) ) ] )
% 0.78/1.18 , clause( 373, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.78/1.18 , Y ), Z ) ) ] )
% 0.78/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 3, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.78/1.18 , clause( 343, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.78/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.18 ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 5, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 , clause( 345, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.78/1.18 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.18 ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 352, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.78/1.18 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.18 ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 13, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.78/1.18 'sk_c3' ), 'sk_c4' ) ] )
% 0.78/1.18 , clause( 353, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.78/1.18 'sk_c3' ), 'sk_c4' ) ] )
% 0.78/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.18 ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ),
% 0.78/1.18 'sk_c7' ) ] )
% 0.78/1.18 , clause( 356, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ),
% 0.78/1.18 'sk_c7' ) ] )
% 0.78/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.18 ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2',
% 0.78/1.18 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 , clause( 357, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2',
% 0.78/1.18 'sk_c6' ), 'sk_c7' ) ] )
% 0.78/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.18 ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.78/1.18 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 , clause( 358, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.78/1.18 'sk_c4' ), 'sk_c6' ) ] )
% 0.78/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.18 ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 19, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.78/1.18 'sk_c4' ) ] )
% 0.78/1.18 , clause( 359, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.78/1.18 'sk_c4' ) ] )
% 0.78/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.18 ).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 subsumption(
% 0.78/1.18 clause( 22, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 16.04/16.44 'sk_c2' ), 'sk_c7' ) ] )
% 16.04/16.44 , clause( 362, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 16.04/16.44 'sk_c2' ), 'sk_c7' ) ] )
% 16.04/16.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 16.04/16.44 ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 23, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 16.04/16.44 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.44 , clause( 363, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 16.04/16.44 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 16.04/16.44 ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 27, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 16.04/16.44 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 16.04/16.44 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 16.04/16.44 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , clause( 367, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 16.04/16.44 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 16.04/16.44 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 16.04/16.44 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.04/16.44 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 16.04/16.44 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ), ==>( 9,
% 16.04/16.44 9 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 factor(
% 16.04/16.44 clause( 9249, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ),
% 16.04/16.44 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =(
% 16.04/16.44 multiply( Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , clause( 27, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 16.04/16.44 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 16.04/16.44 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 16.04/16.44 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , 1, 3, substitution( 0, [ :=( X, 'sk_c5' ), :=( Y, X ), :=( Z, Y ), :=( T
% 16.04/16.44 , Z )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 28, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ),
% 16.04/16.44 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =(
% 16.04/16.44 multiply( Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , clause( 9249, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ),
% 16.04/16.44 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =(
% 16.04/16.44 multiply( Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.04/16.44 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 16.04/16.44 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 factor(
% 16.04/16.44 clause( 19473, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 16.04/16.44 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 16.04/16.44 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =(
% 16.04/16.44 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , clause( 27, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 16.04/16.44 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 16.04/16.44 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 16.04/16.44 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , 1, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T,
% 16.04/16.44 'sk_c7' )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 30, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 16.04/16.44 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 16.04/16.44 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =(
% 16.04/16.44 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , clause( 19473, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.04/16.44 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 16.04/16.44 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 16.04/16.44 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 16.04/16.44 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =(
% 16.04/16.44 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.04/16.44 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 ),
% 16.04/16.44 ==>( 6, 6 ), ==>( 7, 2 ), ==>( 8, 8 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28673, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 16.04/16.44 Y, Z ) ) ) ] )
% 16.04/16.44 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 16.04/16.44 ), Z ) ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28678, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 16.04/16.44 , identity ) ) ] )
% 16.04/16.44 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 16.04/16.44 , 0, clause( 28673, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 16.04/16.44 multiply( Y, Z ) ) ) ] )
% 16.04/16.44 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 16.04/16.44 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 41, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 16.04/16.44 identity ) ) ] )
% 16.04/16.44 , clause( 28678, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 16.04/16.44 X, identity ) ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 16.04/16.44 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28683, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 16.04/16.44 Y, Z ) ) ) ] )
% 16.04/16.44 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 16.04/16.44 ), Z ) ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28688, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 16.04/16.44 ) ) ] )
% 16.04/16.44 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 16.04/16.44 , 0, clause( 28683, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 16.04/16.44 multiply( Y, Z ) ) ) ] )
% 16.04/16.44 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 16.04/16.44 :=( Y, identity ), :=( Z, Y )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 42, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 16.04/16.44 ] )
% 16.04/16.44 , clause( 28688, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 16.04/16.44 Y ) ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 16.04/16.44 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28693, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ), =( inverse(
% 16.04/16.44 'sk_c2' ), 'sk_c7' ) ] )
% 16.04/16.44 , clause( 22, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 16.04/16.44 'sk_c2' ), 'sk_c7' ) ] )
% 16.04/16.44 , 0, substitution( 0, [] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28696, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 16.04/16.44 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28697, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =( 'sk_c6',
% 16.04/16.44 multiply( 'sk_c5', 'sk_c7' ) ) ] )
% 16.04/16.44 , clause( 28693, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ), =( inverse(
% 16.04/16.44 'sk_c2' ), 'sk_c7' ) ] )
% 16.04/16.44 , 1, clause( 28696, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 16.04/16.44 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28699, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( identity,
% 16.04/16.44 multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 16.04/16.44 , clause( 28697, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =( 'sk_c6'
% 16.04/16.44 , multiply( 'sk_c5', 'sk_c7' ) ) ] )
% 16.04/16.44 , 1, substitution( 0, [] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28700, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 16.04/16.44 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 16.04/16.44 , clause( 28699, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( identity
% 16.04/16.44 , multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 16.04/16.44 , 1, substitution( 0, [] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 52, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 16.04/16.44 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 16.04/16.44 , clause( 28700, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 16.04/16.44 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 16.04/16.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 16.04/16.44 ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28702, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 16.04/16.44 ) ) ] )
% 16.04/16.44 , clause( 42, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 16.04/16.44 ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28705, [ =( multiply( inverse( identity ), X ), multiply( identity
% 16.04/16.44 , X ) ) ] )
% 16.04/16.44 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 16.04/16.44 , 0, clause( 28702, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 16.04/16.44 ), Y ) ) ] )
% 16.04/16.44 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 16.04/16.44 inverse( identity ) ), :=( Y, X )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28706, [ =( multiply( inverse( identity ), X ), X ) ] )
% 16.04/16.44 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 16.04/16.44 , 0, clause( 28705, [ =( multiply( inverse( identity ), X ), multiply(
% 16.04/16.44 identity, X ) ) ] )
% 16.04/16.44 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 16.04/16.44 ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 71, [ =( multiply( inverse( identity ), X ), X ) ] )
% 16.04/16.44 , clause( 28706, [ =( multiply( inverse( identity ), X ), X ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28709, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 16.04/16.44 Y, Z ) ) ) ] )
% 16.04/16.44 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 16.04/16.44 ), Z ) ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28714, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 16.04/16.44 multiply( X, Y ) ) ] )
% 16.04/16.44 , clause( 71, [ =( multiply( inverse( identity ), X ), X ) ] )
% 16.04/16.44 , 0, clause( 28709, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 16.04/16.44 multiply( Y, Z ) ) ) ] )
% 16.04/16.44 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 16.04/16.44 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 72, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 16.04/16.44 multiply( Y, X ) ) ] )
% 16.04/16.44 , clause( 28714, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 16.04/16.44 multiply( X, Y ) ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 16.04/16.44 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28720, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 16.04/16.44 identity ) ), Y ) ) ] )
% 16.04/16.44 , clause( 72, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 16.04/16.44 multiply( Y, X ) ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28723, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 16.04/16.44 identity, X ) ) ] )
% 16.04/16.44 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 16.04/16.44 , 0, clause( 28720, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 16.04/16.44 identity ) ), Y ) ) ] )
% 16.04/16.44 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 16.04/16.44 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28724, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 16.04/16.44 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 16.04/16.44 , 0, clause( 28723, [ =( multiply( inverse( inverse( identity ) ), X ),
% 16.04/16.44 multiply( identity, X ) ) ] )
% 16.04/16.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 16.04/16.44 ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 178, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 16.04/16.44 , clause( 28724, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 16.04/16.44 )
% 16.04/16.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28727, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 16.04/16.44 Y ) ), Y ) ) ] )
% 16.04/16.44 , clause( 41, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 16.04/16.44 , identity ) ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28730, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 16.04/16.44 identity, X ) ) ] )
% 16.04/16.44 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 16.04/16.44 , 0, clause( 28727, [ =( multiply( X, identity ), multiply( multiply( X,
% 16.04/16.44 inverse( Y ) ), Y ) ) ] )
% 16.04/16.44 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 16.04/16.44 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28731, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 16.04/16.44 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 16.04/16.44 , 0, clause( 28730, [ =( multiply( inverse( inverse( X ) ), identity ),
% 16.04/16.44 multiply( identity, X ) ) ] )
% 16.04/16.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 16.04/16.44 ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 183, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 16.04/16.44 , clause( 28731, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 16.04/16.44 )
% 16.04/16.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28734, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 16.04/16.44 ) ) ] )
% 16.04/16.44 , clause( 42, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 16.04/16.44 ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28737, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 16.04/16.44 ) ) ] )
% 16.04/16.44 , clause( 183, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 16.04/16.44 , 0, clause( 28734, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 16.04/16.44 ), Y ) ) ] )
% 16.04/16.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 16.04/16.44 inverse( X ) ) ), :=( Y, Y )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 184, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 16.04/16.44 ) ] )
% 16.04/16.44 , clause( 28737, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 16.04/16.44 Y ) ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.04/16.44 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28743, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 16.04/16.44 ) ) ] )
% 16.04/16.44 , clause( 184, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 16.04/16.44 ) ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28746, [ =( multiply( X, identity ), X ) ] )
% 16.04/16.44 , clause( 183, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 16.04/16.44 , 0, clause( 28743, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 16.04/16.44 ), Y ) ) ] )
% 16.04/16.44 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 16.04/16.44 :=( Y, identity )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 203, [ =( multiply( X, identity ), X ) ] )
% 16.04/16.44 , clause( 28746, [ =( multiply( X, identity ), X ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28751, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 16.04/16.44 ) ) ] )
% 16.04/16.44 , clause( 184, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 16.04/16.44 ) ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28754, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 16.04/16.44 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 16.04/16.44 , 0, clause( 28751, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 16.04/16.44 ), Y ) ) ] )
% 16.04/16.44 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 16.04/16.44 :=( X, X ), :=( Y, inverse( X ) )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 subsumption(
% 16.04/16.44 clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 16.04/16.44 , clause( 28754, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 16.04/16.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 eqswap(
% 16.04/16.44 clause( 28757, [ =( X, multiply( X, identity ) ) ] )
% 16.04/16.44 , clause( 203, [ =( multiply( X, identity ), X ) ] )
% 16.04/16.44 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.44
% 16.04/16.44
% 16.04/16.44 paramod(
% 16.04/16.44 clause( 28760, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 16.04/16.44 , clause( 184, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 16.04/16.45 ) ) ] )
% 16.04/16.45 , 0, clause( 28757, [ =( X, multiply( X, identity ) ) ] )
% 16.04/16.45 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 16.04/16.45 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 28761, [ =( inverse( inverse( X ) ), X ) ] )
% 16.04/16.45 , clause( 203, [ =( multiply( X, identity ), X ) ] )
% 16.04/16.45 , 0, clause( 28760, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 16.04/16.45 ] )
% 16.04/16.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 16.04/16.45 ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 subsumption(
% 16.04/16.45 clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 16.04/16.45 , clause( 28761, [ =( inverse( inverse( X ) ), X ) ] )
% 16.04/16.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 28764, [ =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ), =( inverse(
% 16.04/16.45 'sk_c1' ), 'sk_c7' ) ] )
% 16.04/16.45 , clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 16.04/16.45 'sk_c4' ), 'sk_c6' ) ] )
% 16.04/16.45 , 1, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 28766, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 16.04/16.45 , clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 16.04/16.45 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 28770, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c6',
% 16.04/16.45 multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 16.04/16.45 , clause( 28764, [ =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ), =( inverse(
% 16.04/16.45 'sk_c1' ), 'sk_c7' ) ] )
% 16.04/16.45 , 1, clause( 28766, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 16.04/16.45 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 28779, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ),
% 16.04/16.45 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 16.04/16.45 , clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 16.04/16.45 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 16.04/16.45 , 0, clause( 28770, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 16.04/16.45 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 16.04/16.45 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 28799, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 16.04/16.45 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 16.04/16.45 , clause( 28779, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' )
% 16.04/16.45 , 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 16.04/16.45 , 2, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 factor(
% 16.04/16.45 clause( 28920, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 16.04/16.45 'sk_c6' ) ] )
% 16.04/16.45 , clause( 28799, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity
% 16.04/16.45 , 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 16.04/16.45 , 0, 2, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 subsumption(
% 16.04/16.45 clause( 250, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 16.04/16.45 'sk_c6' ) ] )
% 16.04/16.45 , clause( 28920, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity
% 16.04/16.45 , 'sk_c6' ) ] )
% 16.04/16.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 16.04/16.45 ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 28922, [ =( 'sk_c4', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' ),
% 16.04/16.45 'sk_c7' ) ] )
% 16.04/16.45 , clause( 19, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 16.04/16.45 'sk_c4' ) ] )
% 16.04/16.45 , 1, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 28924, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 16.04/16.45 , clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 16.04/16.45 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 28930, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c4',
% 16.04/16.45 inverse( 'sk_c3' ) ) ] )
% 16.04/16.45 , clause( 28922, [ =( 'sk_c4', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' )
% 16.04/16.45 , 'sk_c7' ) ] )
% 16.04/16.45 , 1, clause( 28924, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 16.04/16.45 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 28939, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c4' ),
% 16.04/16.45 =( 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 16.04/16.45 , clause( 13, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 16.04/16.45 'sk_c3' ), 'sk_c4' ) ] )
% 16.04/16.45 , 0, clause( 28930, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 16.04/16.45 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 16.04/16.45 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 28959, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ),
% 16.04/16.45 =( inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 16.04/16.45 , clause( 28939, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c4' )
% 16.04/16.45 , =( 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 16.04/16.45 , 2, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 factor(
% 16.04/16.45 clause( 29082, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 16.04/16.45 )
% 16.04/16.45 , clause( 28959, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' )
% 16.04/16.45 , =( inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 16.04/16.45 , 0, 2, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 subsumption(
% 16.04/16.45 clause( 260, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 16.04/16.45 )
% 16.04/16.45 , clause( 29082, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' )
% 16.04/16.45 ] )
% 16.04/16.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 16.04/16.45 ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29084, [ =( 'sk_c6', identity ), =( inverse( 'sk_c3' ), 'sk_c4' ) ]
% 16.04/16.45 )
% 16.04/16.45 , clause( 260, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 16.04/16.45 )
% 16.04/16.45 , 1, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29086, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 16.04/16.45 , clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 16.04/16.45 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 29092, [ =( identity, multiply( 'sk_c3', 'sk_c4' ) ), =( 'sk_c6',
% 16.04/16.45 identity ) ] )
% 16.04/16.45 , clause( 29084, [ =( 'sk_c6', identity ), =( inverse( 'sk_c3' ), 'sk_c4' )
% 16.04/16.45 ] )
% 16.04/16.45 , 1, clause( 29086, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 16.04/16.45 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 29108, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =( 'sk_c6'
% 16.04/16.45 , identity ) ] )
% 16.04/16.45 , clause( 250, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 16.04/16.45 'sk_c6' ) ] )
% 16.04/16.45 , 0, clause( 29092, [ =( identity, multiply( 'sk_c3', 'sk_c4' ) ), =(
% 16.04/16.45 'sk_c6', identity ) ] )
% 16.04/16.45 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29127, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 16.04/16.45 identity, 'sk_c6' ) ] )
% 16.04/16.45 , clause( 29108, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 16.04/16.45 'sk_c6', identity ) ] )
% 16.04/16.45 , 2, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 factor(
% 16.04/16.45 clause( 29193, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 16.04/16.45 , clause( 29127, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 16.04/16.45 identity, 'sk_c6' ) ] )
% 16.04/16.45 , 0, 1, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 subsumption(
% 16.04/16.45 clause( 272, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 16.04/16.45 , clause( 29193, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 16.04/16.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 16.04/16.45 ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 factor(
% 16.04/16.45 clause( 29195, [ =( identity, 'sk_c6' ) ] )
% 16.04/16.45 , clause( 272, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 16.04/16.45 , 0, 1, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 subsumption(
% 16.04/16.45 clause( 276, [ =( identity, 'sk_c6' ) ] )
% 16.04/16.45 , clause( 29195, [ =( identity, 'sk_c6' ) ] )
% 16.04/16.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29197, [ =( X, multiply( X, identity ) ) ] )
% 16.04/16.45 , clause( 203, [ =( multiply( X, identity ), X ) ] )
% 16.04/16.45 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 29198, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 16.04/16.45 , clause( 276, [ =( identity, 'sk_c6' ) ] )
% 16.04/16.45 , 0, clause( 29197, [ =( X, multiply( X, identity ) ) ] )
% 16.04/16.45 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29199, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.04/16.45 , clause( 29198, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 16.04/16.45 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 subsumption(
% 16.04/16.45 clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.04/16.45 , clause( 29199, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.04/16.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29201, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 16.04/16.45 , clause( 178, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 16.04/16.45 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 29203, [ =( X, multiply( inverse( inverse( 'sk_c6' ) ), X ) ) ] )
% 16.04/16.45 , clause( 276, [ =( identity, 'sk_c6' ) ] )
% 16.04/16.45 , 0, clause( 29201, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 16.04/16.45 ] )
% 16.04/16.45 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 29204, [ =( X, multiply( 'sk_c6', X ) ) ] )
% 16.04/16.45 , clause( 184, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 16.04/16.45 ) ) ] )
% 16.04/16.45 , 0, clause( 29203, [ =( X, multiply( inverse( inverse( 'sk_c6' ) ), X ) )
% 16.04/16.45 ] )
% 16.04/16.45 , 0, 2, substitution( 0, [ :=( X, 'sk_c6' ), :=( Y, X )] ), substitution( 1
% 16.04/16.45 , [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29205, [ =( multiply( 'sk_c6', X ), X ) ] )
% 16.04/16.45 , clause( 29204, [ =( X, multiply( 'sk_c6', X ) ) ] )
% 16.04/16.45 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 subsumption(
% 16.04/16.45 clause( 279, [ =( multiply( 'sk_c6', X ), X ) ] )
% 16.04/16.45 , clause( 29205, [ =( multiply( 'sk_c6', X ), X ) ] )
% 16.04/16.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29206, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 16.04/16.45 , clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.04/16.45 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29207, [ =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ), =( multiply(
% 16.04/16.45 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.45 , clause( 5, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 16.04/16.45 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.45 , 0, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 29211, [ =( 'sk_c2', 'sk_c7' ), =( 'sk_c5', multiply( 'sk_c7',
% 16.04/16.45 'sk_c6' ) ) ] )
% 16.04/16.45 , clause( 29207, [ =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ), =( multiply(
% 16.04/16.45 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.45 , 1, clause( 29206, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 16.04/16.45 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 29212, [ =( 'sk_c5', 'sk_c7' ), =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.04/16.45 , 0, clause( 29211, [ =( 'sk_c2', 'sk_c7' ), =( 'sk_c5', multiply( 'sk_c7'
% 16.04/16.45 , 'sk_c6' ) ) ] )
% 16.04/16.45 , 1, 2, substitution( 0, [ :=( X, 'sk_c7' )] ), substitution( 1, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29213, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , clause( 29212, [ =( 'sk_c5', 'sk_c7' ), =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , 0, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 subsumption(
% 16.04/16.45 clause( 287, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , clause( 29213, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 16.04/16.45 ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29216, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 16.04/16.45 , clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.04/16.45 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29217, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( multiply( 'sk_c2',
% 16.04/16.45 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.45 , clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2',
% 16.04/16.45 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.45 , 0, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29221, [ =( 'sk_c7', 'sk_c2' ), =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.45 , clause( 287, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , 1, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 29223, [ =( 'sk_c2', 'sk_c7' ), =( 'sk_c7', inverse( 'sk_c1' ) ) ]
% 16.04/16.45 )
% 16.04/16.45 , clause( 29217, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( multiply( 'sk_c2',
% 16.04/16.45 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.45 , 1, clause( 29216, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 16.04/16.45 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 paramod(
% 16.04/16.45 clause( 29229, [ =( 'sk_c5', inverse( 'sk_c1' ) ), =( 'sk_c7', 'sk_c2' ),
% 16.04/16.45 =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , clause( 29221, [ =( 'sk_c7', 'sk_c2' ), =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.45 , 1, clause( 29223, [ =( 'sk_c2', 'sk_c7' ), =( 'sk_c7', inverse( 'sk_c1' )
% 16.04/16.45 ) ] )
% 16.04/16.45 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29286, [ =( 'sk_c2', 'sk_c7' ), =( 'sk_c5', inverse( 'sk_c1' ) ),
% 16.04/16.45 =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , clause( 29229, [ =( 'sk_c5', inverse( 'sk_c1' ) ), =( 'sk_c7', 'sk_c2' )
% 16.04/16.45 , =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , 1, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29289, [ =( inverse( 'sk_c1' ), 'sk_c5' ), =( 'sk_c2', 'sk_c7' ),
% 16.04/16.45 =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , clause( 29286, [ =( 'sk_c2', 'sk_c7' ), =( 'sk_c5', inverse( 'sk_c1' ) )
% 16.04/16.45 , =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , 1, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 factor(
% 16.04/16.45 clause( 29290, [ =( inverse( 'sk_c1' ), 'sk_c5' ), =( 'sk_c2', 'sk_c7' ) ]
% 16.04/16.45 )
% 16.04/16.45 , clause( 29289, [ =( inverse( 'sk_c1' ), 'sk_c5' ), =( 'sk_c2', 'sk_c7' )
% 16.04/16.45 , =( 'sk_c2', 'sk_c7' ) ] )
% 16.04/16.45 , 1, 2, substitution( 0, [] )).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 subsumption(
% 16.04/16.45 clause( 290, [ =( 'sk_c2', 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 16.04/16.45 , clause( 29290, [ =( inverse( 'sk_c1' ), 'sk_c5' ), =( 'sk_c2', 'sk_c7' )
% 16.04/16.45 ] )
% 16.04/16.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 16.04/16.45 ).
% 16.04/16.45
% 16.04/16.45
% 16.04/16.45 eqswap(
% 16.04/16.45 clause( 29294, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 16.04/16.45 , clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.04/16.46 , 0, substitution( 0, [ :=( X, X )] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 eqswap(
% 16.04/16.46 clause( 29296, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( multiply(
% 16.04/16.46 'sk_c7', 'sk_c6' ), 'sk_c5' ) ] )
% 16.04/16.46 , clause( 3, [ =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 16.04/16.46 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 16.04/16.46 , 1, substitution( 0, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 paramod(
% 16.04/16.46 clause( 29299, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6',
% 16.04/16.46 'sk_c7' ) ) ] )
% 16.04/16.46 , clause( 29296, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c7' ) ), =( multiply(
% 16.04/16.46 'sk_c7', 'sk_c6' ), 'sk_c5' ) ] )
% 16.04/16.46 , 1, clause( 29294, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 16.04/16.46 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c7' )] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 paramod(
% 16.04/16.46 clause( 29300, [ =( 'sk_c5', 'sk_c7' ), =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , clause( 279, [ =( multiply( 'sk_c6', X ), X ) ] )
% 16.04/16.46 , 0, clause( 29299, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c6'
% 16.04/16.46 , 'sk_c7' ) ) ] )
% 16.04/16.46 , 1, 2, substitution( 0, [ :=( X, 'sk_c7' )] ), substitution( 1, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 eqswap(
% 16.04/16.46 clause( 29301, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , clause( 29300, [ =( 'sk_c5', 'sk_c7' ), =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , 0, substitution( 0, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 factor(
% 16.04/16.46 clause( 29303, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , clause( 29301, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , 0, 1, substitution( 0, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 subsumption(
% 16.04/16.46 clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , clause( 29303, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 eqswap(
% 16.04/16.46 clause( 29306, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ), =( multiply(
% 16.04/16.46 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.46 , clause( 23, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 16.04/16.46 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.46 , 0, substitution( 0, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 paramod(
% 16.04/16.46 clause( 29311, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( 'sk_c6',
% 16.04/16.46 multiply( 'sk_c5', 'sk_c7' ) ) ] )
% 16.04/16.46 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , 0, clause( 29306, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ), =(
% 16.04/16.46 multiply( 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 16.04/16.46 , 1, 4, substitution( 0, [] ), substitution( 1, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 paramod(
% 16.04/16.46 clause( 29312, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( multiply(
% 16.04/16.46 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 16.04/16.46 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , 0, clause( 29311, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =(
% 16.04/16.46 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ) ] )
% 16.04/16.46 , 1, 4, substitution( 0, [] ), substitution( 1, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 paramod(
% 16.04/16.46 clause( 29317, [ =( 'sk_c2', 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c5',
% 16.04/16.46 'sk_c5' ) ) ] )
% 16.04/16.46 , clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.04/16.46 , 0, clause( 29312, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =(
% 16.04/16.46 multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 16.04/16.46 , 1, 1, substitution( 0, [ :=( X, 'sk_c2' )] ), substitution( 1, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 eqswap(
% 16.04/16.46 clause( 29319, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 16.04/16.46 'sk_c5' ) ] )
% 16.04/16.46 , clause( 29317, [ =( 'sk_c2', 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c5',
% 16.04/16.46 'sk_c5' ) ) ] )
% 16.04/16.46 , 1, substitution( 0, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 subsumption(
% 16.04/16.46 clause( 294, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 16.04/16.46 'sk_c5' ) ] )
% 16.04/16.46 , clause( 29319, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 16.04/16.46 'sk_c5' ) ] )
% 16.04/16.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 16.04/16.46 ).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 eqswap(
% 16.04/16.46 clause( 29322, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =( multiply(
% 16.04/16.46 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 16.04/16.46 , clause( 52, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 16.04/16.46 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 16.04/16.46 , 0, substitution( 0, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 eqswap(
% 16.04/16.46 clause( 29325, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c2',
% 16.04/16.46 'sk_c5' ) ] )
% 16.04/16.46 , clause( 294, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 16.04/16.46 'sk_c5' ) ] )
% 16.04/16.46 , 0, substitution( 0, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 paramod(
% 16.04/16.46 clause( 29330, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( identity,
% 16.04/16.46 multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 16.04/16.46 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.04/16.46 , 0, clause( 29322, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =(
% 16.04/16.46 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 16.04/16.46 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 16.04/16.46
% 16.04/16.46
% 16.04/16.46 paramod(
% 16.04/16.46 clause( 29331, [ =( identity, multiply( 'sk_c5', 'sk_c2' ) ), =( multiply(
% 16.72/17.12 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.72/17.12 , 0, clause( 29330, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =(
% 16.72/17.12 identity, multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 16.72/17.12 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 30060, [ =( identity, multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c6',
% 16.72/17.12 multiply( 'sk_c5', 'sk_c5' ) ), =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6'
% 16.72/17.12 ) ] )
% 16.72/17.12 , clause( 29325, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c2',
% 16.72/17.12 'sk_c5' ) ] )
% 16.72/17.12 , 1, clause( 29331, [ =( identity, multiply( 'sk_c5', 'sk_c2' ) ), =(
% 16.72/17.12 multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 30061, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c6',
% 16.72/17.12 multiply( 'sk_c5', 'sk_c5' ) ), =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6'
% 16.72/17.12 ) ] )
% 16.72/17.12 , clause( 276, [ =( identity, 'sk_c6' ) ] )
% 16.72/17.12 , 0, clause( 30060, [ =( identity, multiply( 'sk_c5', 'sk_c5' ) ), =(
% 16.72/17.12 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( multiply( 'sk_c5', 'sk_c5' )
% 16.72/17.12 , 'sk_c6' ) ] )
% 16.72/17.12 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 factor(
% 16.72/17.12 clause( 30062, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( multiply(
% 16.72/17.12 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , clause( 30061, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c6',
% 16.72/17.12 multiply( 'sk_c5', 'sk_c5' ) ), =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6'
% 16.72/17.12 ) ] )
% 16.72/17.12 , 0, 1, substitution( 0, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqswap(
% 16.72/17.12 clause( 30063, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 16.72/17.12 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , clause( 30062, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( multiply(
% 16.72/17.12 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , 0, substitution( 0, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 factor(
% 16.72/17.12 clause( 30066, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , clause( 30063, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 16.72/17.12 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , 0, 1, substitution( 0, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 subsumption(
% 16.72/17.12 clause( 301, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , clause( 30066, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqswap(
% 16.72/17.12 clause( 30068, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 301, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , 0, substitution( 0, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqswap(
% 16.72/17.12 clause( 30075, [ ~( =( 'sk_c6', multiply( X, Y ) ) ), ~( =( multiply(
% 16.72/17.12 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ),
% 16.72/17.12 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =( multiply(
% 16.72/17.12 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7' ) ), ~( =(
% 16.72/17.12 multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( X ), Y ) ), ~( =(
% 16.72/17.12 multiply( Y, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.72/17.12 , clause( 28, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~(
% 16.72/17.12 =( multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =(
% 16.72/17.12 multiply( Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.72/17.12 , 6, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 resolution(
% 16.72/17.12 clause( 30590, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~(
% 16.72/17.12 =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ),
% 16.72/17.12 'sk_c6' ) ) ] )
% 16.72/17.12 , clause( 30075, [ ~( =( 'sk_c6', multiply( X, Y ) ) ), ~( =( multiply(
% 16.72/17.12 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ),
% 16.72/17.12 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =( multiply(
% 16.72/17.12 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c7' ) ), ~( =(
% 16.72/17.12 multiply( Z, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( X ), Y ) ), ~( =(
% 16.72/17.12 multiply( Y, 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.72/17.12 , 0, clause( 30068, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ) ] )
% 16.72/17.12 , 0, substitution( 0, [ :=( X, 'sk_c5' ), :=( Y, 'sk_c5' ), :=( Z, X )] ),
% 16.72/17.12 substitution( 1, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 30594, [ ~( =( X, 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c6' ),
% 16.72/17.12 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =(
% 16.72/17.12 inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ),
% 16.72/17.12 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.72/17.12 , clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.72/17.12 , 0, clause( 30590, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~(
% 16.72/17.12 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~(
% 16.72/17.12 =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ),
% 16.72/17.12 'sk_c6' ) ) ] )
% 16.72/17.12 , 5, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 16.72/17.12 ).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 factor(
% 16.72/17.12 clause( 30603, [ ~( =( X, 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c6' ),
% 16.72/17.12 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =(
% 16.72/17.12 inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ),
% 16.72/17.12 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 30594, [ ~( =( X, 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c6' )
% 16.72/17.12 , 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =(
% 16.72/17.12 inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ),
% 16.72/17.12 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ] )
% 16.72/17.12 , 2, 7, substitution( 0, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 351278, [ ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ),
% 16.72/17.12 ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5'
% 16.72/17.12 , 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 16.72/17.12 multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.72/17.12 , 0, clause( 30603, [ ~( =( X, 'sk_c7' ) ), ~( =( multiply( 'sk_c7',
% 16.72/17.12 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ),
% 16.72/17.12 ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' )
% 16.72/17.12 , 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' )
% 16.72/17.12 , 'sk_c5' ) ) ] )
% 16.72/17.12 , 5, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 352918, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~( =( multiply( 'sk_c7'
% 16.72/17.12 , 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) )
% 16.72/17.12 , ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.72/17.12 , 0, clause( 351278, [ ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' )
% 16.72/17.12 ), ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply(
% 16.72/17.12 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ),
% 16.72/17.12 ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' )
% 16.72/17.12 , 'sk_c5' ) ) ] )
% 16.72/17.12 , 5, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 353231, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' )
% 16.72/17.12 ), ~( =( X, 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) )
% 16.72/17.12 , ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5'
% 16.72/17.12 ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 279, [ =( multiply( 'sk_c6', X ), X ) ] )
% 16.72/17.12 , 0, clause( 352918, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c5' ) ), ~(
% 16.72/17.12 =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~( =( multiply(
% 16.72/17.12 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ),
% 16.72/17.12 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =( inverse(
% 16.72/17.12 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 0, 2, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [ :=( X, X
% 16.72/17.12 )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 358136, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( 'sk_c5',
% 16.72/17.12 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~(
% 16.72/17.12 =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 16.72/17.12 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.72/17.12 , 0, clause( 353231, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ),
% 16.72/17.12 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c6' ),
% 16.72/17.12 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =(
% 16.72/17.12 inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ]
% 16.72/17.12 )
% 16.72/17.12 , 5, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 358206, [ ~( =( 'sk_c7', 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) )
% 16.72/17.12 , ~( =( X, 'sk_c7' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ),
% 16.72/17.12 ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 16.72/17.12 , 0, clause( 358136, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( 'sk_c5'
% 16.72/17.12 , 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~(
% 16.72/17.12 =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 16.72/17.12 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 4, 2, substitution( 0, [ :=( X, 'sk_c7' )] ), substitution( 1, [ :=( X, X
% 16.72/17.12 )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 359881, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 16.72/17.12 'sk_c7', 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' )
% 16.72/17.12 ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.72/17.12 , 0, clause( 358206, [ ~( =( 'sk_c7', 'sk_c5' ) ), ~( =( inverse( 'sk_c5' )
% 16.72/17.12 , 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' )
% 16.72/17.12 ), ~( =( X, 'sk_c7' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) )
% 16.72/17.12 , ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 5, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 359914, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c5' ) ),
% 16.72/17.12 ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 16.72/17.12 inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~( =( inverse( 'sk_c5' )
% 16.72/17.12 , 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 301, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 16.72/17.12 , 0, clause( 359881, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~(
% 16.72/17.12 =( 'sk_c7', 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' )
% 16.72/17.12 ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 361004, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =(
% 16.72/17.12 'sk_c7', 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( inverse(
% 16.72/17.12 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.72/17.12 , 0, clause( 359914, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c5' )
% 16.72/17.12 ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ),
% 16.72/17.12 ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~( =( inverse(
% 16.72/17.12 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 5, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 361020, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( X, 'sk_c5' ) ), ~( =(
% 16.72/17.12 'sk_c6', 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( inverse(
% 16.72/17.12 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.72/17.12 , 0, clause( 361004, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) ),
% 16.72/17.12 ~( =( 'sk_c7', 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( inverse(
% 16.72/17.12 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqrefl(
% 16.72/17.12 clause( 361421, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =(
% 16.72/17.12 inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 16.72/17.12 inverse( X ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 361020, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( X, 'sk_c5' ) ), ~(
% 16.72/17.12 =( 'sk_c6', 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( inverse(
% 16.72/17.12 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 0, substitution( 0, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqrefl(
% 16.72/17.12 clause( 361431, [ ~( =( X, 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' )
% 16.72/17.12 ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 361421, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~(
% 16.72/17.12 =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 16.72/17.12 inverse( X ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 1, substitution( 0, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqrefl(
% 16.72/17.12 clause( 361500, [ ~( =( X, 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' )
% 16.72/17.12 ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' )
% 16.72/17.12 ) ] )
% 16.72/17.12 , clause( 361431, [ ~( =( X, 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5'
% 16.72/17.12 ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =(
% 16.72/17.12 inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 2, substitution( 0, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 subsumption(
% 16.72/17.12 clause( 317, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( inverse(
% 16.72/17.12 'sk_c5' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c5'
% 16.72/17.12 ) ) ] )
% 16.72/17.12 , clause( 361500, [ ~( =( X, 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5'
% 16.72/17.12 ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5'
% 16.72/17.12 ) ) ] )
% 16.72/17.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 16.72/17.12 0 ), ==>( 2, 2 ), ==>( 3, 0 )] ) ).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqswap(
% 16.72/17.12 clause( 361544, [ ~( =( 'sk_c5', X ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' )
% 16.72/17.12 ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' )
% 16.72/17.12 ) ] )
% 16.72/17.12 , clause( 317, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( inverse(
% 16.72/17.12 'sk_c5' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c5'
% 16.72/17.12 ) ) ] )
% 16.72/17.12 , 3, substitution( 0, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 factor(
% 16.72/17.12 clause( 361550, [ ~( =( 'sk_c5', X ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' )
% 16.72/17.12 ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 361544, [ ~( =( 'sk_c5', X ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5'
% 16.72/17.12 ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5'
% 16.72/17.12 ) ) ] )
% 16.72/17.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 factor(
% 16.72/17.12 clause( 361551, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 361550, [ ~( =( 'sk_c5', X ) ), ~( =( inverse( 'sk_c5' ), 'sk_c5'
% 16.72/17.12 ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 16.72/17.12 , 1, 2, substitution( 0, [ :=( X, 'sk_c5' )] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqrefl(
% 16.72/17.12 clause( 361555, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 361551, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ),
% 16.72/17.12 'sk_c5' ) ) ] )
% 16.72/17.12 , 0, substitution( 0, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 subsumption(
% 16.72/17.12 clause( 320, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , clause( 361555, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 16.72/17.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 361561, [ =( 'sk_c2', 'sk_c5' ), =( inverse( 'sk_c1' ), 'sk_c5' ) ]
% 16.72/17.12 )
% 16.72/17.12 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 16.72/17.12 , 0, clause( 290, [ =( 'sk_c2', 'sk_c7' ), =( inverse( 'sk_c1' ), 'sk_c5' )
% 16.72/17.12 ] )
% 16.72/17.12 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 subsumption(
% 16.72/17.12 clause( 321, [ =( inverse( 'sk_c1' ), 'sk_c5' ), =( 'sk_c2', 'sk_c5' ) ] )
% 16.72/17.12 , clause( 361561, [ =( 'sk_c2', 'sk_c5' ), =( inverse( 'sk_c1' ), 'sk_c5' )
% 16.72/17.12 ] )
% 16.72/17.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 16.72/17.12 ).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqswap(
% 16.72/17.12 clause( 361565, [ =( 'sk_c5', inverse( 'sk_c1' ) ), =( 'sk_c2', 'sk_c5' ) ]
% 16.72/17.12 )
% 16.72/17.12 , clause( 321, [ =( inverse( 'sk_c1' ), 'sk_c5' ), =( 'sk_c2', 'sk_c5' ) ]
% 16.72/17.12 )
% 16.72/17.12 , 0, substitution( 0, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 eqswap(
% 16.72/17.12 clause( 361568, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c2' ),
% 16.72/17.12 'sk_c7' ) ] )
% 16.72/17.12 , clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ),
% 16.72/17.12 'sk_c7' ) ] )
% 16.72/17.12 , 0, substitution( 0, [] )).
% 16.72/17.12
% 16.72/17.12
% 16.72/17.12 paramod(
% 16.72/17.12 clause( 361574, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( 'sk_c5', inverse(
% 16.72/17.12 'sk_c1' ) ), =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 16.72/17.12 , clause( 361565, [ =( 'sk_c5', inverse( 'sk_c1' ) ), =( 'sk_c2', 'sk_c5' )
% 16.72/17.12 ] )
% 16.72/17.12 , 1, clause( 361568, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse(
% 71.32/71.71 'sk_c2' ), 'sk_c7' ) ] )
% 71.32/71.71 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 361576, [ =( 'sk_c5', inverse( 'sk_c1' ) ), =( inverse( 'sk_c5' ),
% 71.32/71.71 'sk_c7' ), =( 'sk_c5', inverse( 'sk_c1' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 361574, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( 'sk_c5',
% 71.32/71.71 inverse( 'sk_c1' ) ), =( 'sk_c7', inverse( 'sk_c1' ) ) ] )
% 71.32/71.71 , 2, 1, substitution( 0, [] ), substitution( 1, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 factor(
% 71.32/71.71 clause( 361579, [ =( 'sk_c5', inverse( 'sk_c1' ) ), =( inverse( 'sk_c5' ),
% 71.32/71.71 'sk_c7' ) ] )
% 71.32/71.71 , clause( 361576, [ =( 'sk_c5', inverse( 'sk_c1' ) ), =( inverse( 'sk_c5' )
% 71.32/71.71 , 'sk_c7' ), =( 'sk_c5', inverse( 'sk_c1' ) ) ] )
% 71.32/71.71 , 0, 2, substitution( 0, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 361580, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( 'sk_c5', inverse(
% 71.32/71.71 'sk_c1' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 361579, [ =( 'sk_c5', inverse( 'sk_c1' ) ), =( inverse(
% 71.32/71.71 'sk_c5' ), 'sk_c7' ) ] )
% 71.32/71.71 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 resolution(
% 71.32/71.71 clause( 361581, [ =( 'sk_c5', inverse( 'sk_c1' ) ) ] )
% 71.32/71.71 , clause( 320, [ ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 71.32/71.71 , 0, clause( 361580, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( 'sk_c5',
% 71.32/71.71 inverse( 'sk_c1' ) ) ] )
% 71.32/71.71 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 361582, [ =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 71.32/71.71 , clause( 361581, [ =( 'sk_c5', inverse( 'sk_c1' ) ) ] )
% 71.32/71.71 , 0, substitution( 0, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 subsumption(
% 71.32/71.71 clause( 326, [ =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 71.32/71.71 , clause( 361582, [ =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 71.32/71.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 361584, [ ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ), ~( =(
% 71.32/71.71 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 71.32/71.71 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 71.32/71.71 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 71.32/71.71 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =(
% 71.32/71.71 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 30, [ ~( =( multiply( 'sk_c7', 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 71.32/71.71 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 71.32/71.71 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 71.32/71.71 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 71.32/71.71 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =(
% 71.32/71.71 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 361724, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', multiply(
% 71.32/71.71 'sk_c7', 'sk_c6' ) ) ), ~( =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ),
% 71.32/71.71 ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6'
% 71.32/71.71 , 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply(
% 71.32/71.71 X, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( 'sk_c1' ), 'sk_c7' ) ), ~( =(
% 71.32/71.71 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 326, [ =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 361584, [ ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ), ~(
% 71.32/71.71 =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ),
% 71.32/71.71 ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6'
% 71.32/71.71 , 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 71.32/71.71 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =(
% 71.32/71.71 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' ), :=( Y,
% 71.32/71.71 X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 361726, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ),
% 71.32/71.71 ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ), ~( =( multiply( 'sk_c1'
% 71.32/71.71 , 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) )
% 71.32/71.71 , ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( X ),
% 71.32/71.71 'sk_c7' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 326, [ =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 361724, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', multiply(
% 71.32/71.71 'sk_c7', 'sk_c6' ) ) ), ~( =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ),
% 71.32/71.71 ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6'
% 71.32/71.71 , 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply(
% 71.32/71.71 X, 'sk_c6' ), 'sk_c7' ) ), ~( =( inverse( 'sk_c1' ), 'sk_c7' ) ), ~( =(
% 71.32/71.71 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 7, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 361734, [ ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ),
% 71.32/71.71 ~( =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5'
% 71.32/71.71 , 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) )
% 71.32/71.71 , ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c7' ),
% 71.32/71.71 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 71.32/71.71 , 0, clause( 361726, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' )
% 71.32/71.71 ), ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ), ~( =( multiply(
% 71.32/71.71 'sk_c1', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ),
% 71.32/71.71 'sk_c6' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~(
% 71.32/71.71 =( multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 7, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 71.32/71.71 ).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 361750, [ ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X
% 71.32/71.71 , 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ),
% 71.32/71.71 ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ), ~( =( multiply( 'sk_c1'
% 71.32/71.71 , 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) )
% 71.32/71.71 , ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( X ),
% 71.32/71.71 'sk_c7' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 361734, [ ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ),
% 71.32/71.71 ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) )
% 71.32/71.71 ), ~( =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ),
% 71.32/71.71 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7',
% 71.32/71.71 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 8, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 31023210, [ ~( =( inverse( X ), 'sk_c5' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5',
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', multiply( 'sk_c7'
% 71.32/71.71 , 'sk_c6' ) ) ), ~( =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 71.32/71.71 'sk_c7' ), 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 361750, [ ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~(
% 71.32/71.71 =( X, 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) )
% 71.32/71.71 , ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ), ~( =( multiply(
% 71.32/71.71 'sk_c1', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ),
% 71.32/71.71 'sk_c6' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c7' ) ) ] )
% 71.32/71.71 , 8, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32549138, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c5' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' )
% 71.32/71.71 ), ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5',
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ), ~( =(
% 71.32/71.71 multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5',
% 71.32/71.71 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 31023210, [ ~( =( inverse( X ), 'sk_c5' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5',
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', multiply( 'sk_c7'
% 71.32/71.71 , 'sk_c6' ) ) ), ~( =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 71.32/71.71 'sk_c7' ), 'sk_c5' ) ) ] )
% 71.32/71.71 , 8, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32667370, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5'
% 71.32/71.71 ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X, 'sk_c7' )
% 71.32/71.71 ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5'
% 71.32/71.71 , multiply( 'sk_c7', 'sk_c6' ) ) ), ~( =( multiply( 'sk_c1', 'sk_c7' ),
% 71.32/71.71 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 279, [ =( multiply( 'sk_c6', X ), X ) ] )
% 71.32/71.71 , 0, clause( 32549138, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c5' ) ),
% 71.32/71.71 ~( =( inverse( X ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ),
% 71.32/71.71 'sk_c6' ) ), ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ),
% 71.32/71.71 ~( =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5'
% 71.32/71.71 , 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 0, 2, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [ :=( X, X
% 71.32/71.71 )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32761609, [ ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5',
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', multiply( 'sk_c7'
% 71.32/71.71 , 'sk_c6' ) ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 32667370, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ),
% 71.32/71.71 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X,
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~(
% 71.32/71.71 =( 'sk_c5', multiply( 'sk_c7', 'sk_c6' ) ) ), ~( =( multiply( 'sk_c1',
% 71.32/71.71 'sk_c7' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ]
% 71.32/71.71 )
% 71.32/71.71 , 7, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32761671, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c1',
% 71.32/71.71 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ),
% 71.32/71.71 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X,
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~(
% 71.32/71.71 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 277, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 71.32/71.71 , 0, clause( 32761609, [ ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ),
% 71.32/71.71 ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =(
% 71.32/71.71 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X, 'sk_c7' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', multiply(
% 71.32/71.71 'sk_c7', 'sk_c6' ) ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ]
% 71.32/71.71 )
% 71.32/71.71 , 7, 3, substitution( 0, [ :=( X, 'sk_c7' )] ), substitution( 1, [ :=( X, X
% 71.32/71.71 )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 factor(
% 71.32/71.71 clause( 32761673, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c1',
% 71.32/71.71 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ),
% 71.32/71.71 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X,
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c5', 'sk_c7'
% 71.32/71.71 ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 32761671, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c1',
% 71.32/71.71 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ),
% 71.32/71.71 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X,
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~(
% 71.32/71.71 =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 0, 6, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32764679, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c1',
% 71.32/71.71 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ),
% 71.32/71.71 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ), ~( =( X,
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c5', 'sk_c7'
% 71.32/71.71 ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 32761673, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' )
% 71.32/71.71 ), ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32764703, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ),
% 71.32/71.71 ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X,
% 71.32/71.71 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c5', 'sk_c7'
% 71.32/71.71 ), 'sk_c6' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 32764679, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' )
% 71.32/71.71 ), ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 4, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32764746, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) )
% 71.32/71.71 , ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5'
% 71.32/71.71 ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ) ]
% 71.32/71.71 )
% 71.32/71.71 , clause( 301, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 71.32/71.71 , 0, clause( 32764703, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ),
% 71.32/71.71 ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' )
% 71.32/71.71 ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X
% 71.32/71.71 , 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c5',
% 71.32/71.71 'sk_c7' ), 'sk_c6' ) ) ] )
% 71.32/71.71 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766261, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c1'
% 71.32/71.71 , 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X )
% 71.32/71.71 , 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 32764746, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5'
% 71.32/71.71 ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5',
% 71.32/71.71 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~(
% 71.32/71.71 =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) )
% 71.32/71.71 ] )
% 71.32/71.71 , 7, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766287, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 71.32/71.71 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5',
% 71.32/71.71 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' )
% 71.32/71.71 ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 32766261, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ),
% 71.32/71.71 ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' )
% 71.32/71.71 ) ] )
% 71.32/71.71 , 7, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766288, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~(
% 71.32/71.71 =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6' ) )
% 71.32/71.71 , ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6'
% 71.32/71.71 ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 291, [ =( 'sk_c7', 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 32766287, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ),
% 71.32/71.71 ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ), ~( =( X,
% 71.32/71.71 'sk_c7' ) ) ] )
% 71.32/71.71 , 7, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766623, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( X, 'sk_c5' ) ), ~(
% 71.32/71.71 =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5',
% 71.32/71.71 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 301, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 71.32/71.71 , 0, clause( 32766288, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ),
% 71.32/71.71 ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6' )
% 71.32/71.71 ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ),
% 71.32/71.71 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) )
% 71.32/71.71 ] )
% 71.32/71.71 , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqrefl(
% 71.32/71.71 clause( 32766699, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~(
% 71.32/71.71 =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 32766623, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( X, 'sk_c5' ) ), ~(
% 71.32/71.71 =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5',
% 71.32/71.71 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , 0, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqrefl(
% 71.32/71.71 clause( 32766767, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~(
% 71.32/71.71 =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) )
% 71.32/71.71 , ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 32766699, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~(
% 71.32/71.71 =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply(
% 71.32/71.71 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , 1, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqrefl(
% 71.32/71.71 clause( 32766774, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~(
% 71.32/71.71 =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) )
% 71.32/71.71 , ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 32766767, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~(
% 71.32/71.71 =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) )
% 71.32/71.71 , ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , 1, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqrefl(
% 71.32/71.71 clause( 32766785, [ ~( =( X, 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5'
% 71.32/71.71 ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c5'
% 71.32/71.71 ) ) ] )
% 71.32/71.71 , clause( 32766774, [ ~( =( X, 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~(
% 71.32/71.71 =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) )
% 71.32/71.71 , ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , 1, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqrefl(
% 71.32/71.71 clause( 32766791, [ ~( =( X, 'sk_c5' ) ), ~( =( multiply( 'sk_c1', 'sk_c5'
% 71.32/71.71 ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 32766785, [ ~( =( X, 'sk_c5' ) ), ~( =( multiply( 'sk_c1',
% 71.32/71.71 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( inverse( X ),
% 71.32/71.71 'sk_c5' ) ) ] )
% 71.32/71.71 , 2, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 subsumption(
% 71.32/71.71 clause( 328, [ ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 32766791, [ ~( =( X, 'sk_c5' ) ), ~( =( multiply( 'sk_c1',
% 71.32/71.71 'sk_c5' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c5' ) ) ] )
% 71.32/71.71 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 71.32/71.71 0 ), ==>( 2, 1 )] ) ).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 32766800, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 71.32/71.71 , clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 71.32/71.71 , 0, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766802, [ =( identity, multiply( 'sk_c1', 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 326, [ =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 32766800, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 71.32/71.71 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766803, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 276, [ =( identity, 'sk_c6' ) ] )
% 71.32/71.71 , 0, clause( 32766802, [ =( identity, multiply( 'sk_c1', 'sk_c5' ) ) ] )
% 71.32/71.71 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 32766804, [ =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ] )
% 71.32/71.71 , clause( 32766803, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c5' ) ) ] )
% 71.32/71.71 , 0, substitution( 0, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 subsumption(
% 71.32/71.71 clause( 330, [ =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ] )
% 71.32/71.71 , clause( 32766804, [ =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ] )
% 71.32/71.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 32766806, [ =( X, inverse( inverse( X ) ) ) ] )
% 71.32/71.71 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 71.32/71.71 , 0, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766807, [ =( 'sk_c1', inverse( 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 326, [ =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 32766806, [ =( X, inverse( inverse( X ) ) ) ] )
% 71.32/71.71 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 32766808, [ =( inverse( 'sk_c5' ), 'sk_c1' ) ] )
% 71.32/71.71 , clause( 32766807, [ =( 'sk_c1', inverse( 'sk_c5' ) ) ] )
% 71.32/71.71 , 0, substitution( 0, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 subsumption(
% 71.32/71.71 clause( 331, [ =( inverse( 'sk_c5' ), 'sk_c1' ) ] )
% 71.32/71.71 , clause( 32766808, [ =( inverse( 'sk_c5' ), 'sk_c1' ) ] )
% 71.32/71.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 32766810, [ =( multiply( X, identity ), multiply( multiply( X,
% 71.32/71.71 inverse( Y ) ), Y ) ) ] )
% 71.32/71.71 , clause( 41, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 71.32/71.71 , identity ) ) ] )
% 71.32/71.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766812, [ =( multiply( X, identity ), multiply( multiply( X,
% 71.32/71.71 'sk_c5' ), 'sk_c1' ) ) ] )
% 71.32/71.71 , clause( 326, [ =( inverse( 'sk_c1' ), 'sk_c5' ) ] )
% 71.32/71.71 , 0, clause( 32766810, [ =( multiply( X, identity ), multiply( multiply( X
% 71.32/71.71 , inverse( Y ) ), Y ) ) ] )
% 71.32/71.71 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 71.32/71.71 'sk_c1' )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766813, [ =( X, multiply( multiply( X, 'sk_c5' ), 'sk_c1' ) ) ]
% 71.32/71.71 )
% 71.32/71.71 , clause( 203, [ =( multiply( X, identity ), X ) ] )
% 71.32/71.71 , 0, clause( 32766812, [ =( multiply( X, identity ), multiply( multiply( X
% 71.32/71.71 , 'sk_c5' ), 'sk_c1' ) ) ] )
% 71.32/71.71 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 71.32/71.71 ).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 32766814, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c1' ), X ) ]
% 71.32/71.71 )
% 71.32/71.71 , clause( 32766813, [ =( X, multiply( multiply( X, 'sk_c5' ), 'sk_c1' ) ) ]
% 71.32/71.71 )
% 71.32/71.71 , 0, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 subsumption(
% 71.32/71.71 clause( 332, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c1' ), X ) ] )
% 71.32/71.71 , clause( 32766814, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c1' ), X ) ]
% 71.32/71.71 )
% 71.32/71.71 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 32766815, [ ~( =( 'sk_c6', multiply( 'sk_c1', 'sk_c5' ) ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 328, [ ~( =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 71.32/71.71 inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c5' ) ) ] )
% 71.32/71.71 , 0, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqrefl(
% 71.32/71.71 clause( 32766824, [ ~( =( 'sk_c6', multiply( 'sk_c1', 'sk_c5' ) ) ), ~( =(
% 71.32/71.71 inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 32766815, [ ~( =( 'sk_c6', multiply( 'sk_c1', 'sk_c5' ) ) ), ~(
% 71.32/71.71 =( inverse( X ), 'sk_c5' ) ), ~( =( X, 'sk_c5' ) ) ] )
% 71.32/71.71 , 2, substitution( 0, [ :=( X, 'sk_c5' )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766825, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ),
% 71.32/71.71 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 330, [ =( multiply( 'sk_c1', 'sk_c5' ), 'sk_c6' ) ] )
% 71.32/71.71 , 0, clause( 32766824, [ ~( =( 'sk_c6', multiply( 'sk_c1', 'sk_c5' ) ) ),
% 71.32/71.71 ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 71.32/71.71 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766826, [ ~( =( 'sk_c1', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) )
% 71.32/71.71 ] )
% 71.32/71.71 , clause( 331, [ =( inverse( 'sk_c5' ), 'sk_c1' ) ] )
% 71.32/71.71 , 0, clause( 32766825, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( inverse( 'sk_c5'
% 71.32/71.71 ), 'sk_c5' ) ) ] )
% 71.32/71.71 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqrefl(
% 71.32/71.71 clause( 32766827, [ ~( =( 'sk_c1', 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 32766826, [ ~( =( 'sk_c1', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' )
% 71.32/71.71 ) ] )
% 71.32/71.71 , 1, substitution( 0, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 subsumption(
% 71.32/71.71 clause( 334, [ ~( =( 'sk_c1', 'sk_c5' ) ) ] )
% 71.32/71.71 , clause( 32766827, [ ~( =( 'sk_c1', 'sk_c5' ) ) ] )
% 71.32/71.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 32766830, [ =( X, multiply( multiply( X, 'sk_c5' ), 'sk_c1' ) ) ]
% 71.32/71.71 )
% 71.32/71.71 , clause( 332, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c1' ), X ) ] )
% 71.32/71.71 , 0, substitution( 0, [ :=( X, X )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 eqswap(
% 71.32/71.71 clause( 32766832, [ ~( =( 'sk_c5', 'sk_c1' ) ) ] )
% 71.32/71.71 , clause( 334, [ ~( =( 'sk_c1', 'sk_c5' ) ) ] )
% 71.32/71.71 , 0, substitution( 0, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766833, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c1' ) ) ] )
% 71.32/71.71 , clause( 301, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 71.32/71.71 , 0, clause( 32766830, [ =( X, multiply( multiply( X, 'sk_c5' ), 'sk_c1' )
% 71.32/71.71 ) ] )
% 71.32/71.71 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' )] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 paramod(
% 71.32/71.71 clause( 32766834, [ =( 'sk_c5', 'sk_c1' ) ] )
% 71.32/71.71 , clause( 279, [ =( multiply( 'sk_c6', X ), X ) ] )
% 71.32/71.71 , 0, clause( 32766833, [ =( 'sk_c5', multiply( 'sk_c6', 'sk_c1' ) ) ] )
% 71.32/71.71 , 0, 2, substitution( 0, [ :=( X, 'sk_c1' )] ), substitution( 1, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 resolution(
% 71.32/71.71 clause( 32766835, [] )
% 71.32/71.71 , clause( 32766832, [ ~( =( 'sk_c5', 'sk_c1' ) ) ] )
% 71.32/71.71 , 0, clause( 32766834, [ =( 'sk_c5', 'sk_c1' ) ] )
% 71.32/71.71 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 subsumption(
% 71.32/71.71 clause( 338, [] )
% 71.32/71.71 , clause( 32766835, [] )
% 71.32/71.71 , substitution( 0, [] ), permutation( 0, [] ) ).
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 end.
% 71.32/71.71
% 71.32/71.71 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 71.32/71.71
% 71.32/71.71 Memory use:
% 71.32/71.71
% 71.32/71.71 space for terms: 6891
% 71.32/71.71 space for clauses: 17982
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 clauses generated: 2951
% 71.32/71.71 clauses kept: 339
% 71.32/71.71 clauses selected: 76
% 71.32/71.71 clauses deleted: 14
% 71.32/71.71 clauses inuse deleted: 0
% 71.32/71.71
% 71.32/71.71 subsentry: 128314526
% 71.32/71.71 literals s-matched: 19192935
% 71.32/71.71 literals matched: 19192923
% 71.32/71.71 full subsumption: 2202047
% 71.32/71.71
% 71.32/71.71 checksum: 1653949776
% 71.32/71.71
% 71.32/71.71
% 71.32/71.71 Bliksem ended
%------------------------------------------------------------------------------