%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP277-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:36:21 EDT 2022
% Result : Unsatisfiable 0.54s 0.92s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP277-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.10 % Command : bliksem %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % DateTime : Tue Jun 14 06:18:57 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.54/0.92 *** allocated 10000 integers for termspace/termends
% 0.54/0.92 *** allocated 10000 integers for clauses
% 0.54/0.92 *** allocated 10000 integers for justifications
% 0.54/0.92 Bliksem 1.12
% 0.54/0.92
% 0.54/0.92
% 0.54/0.92 Automatic Strategy Selection
% 0.54/0.92
% 0.54/0.92 Clauses:
% 0.54/0.92 [
% 0.54/0.92 [ =( multiply( identity, X ), X ) ],
% 0.54/0.92 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.54/0.92 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.54/0.92 ],
% 0.54/0.92 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.54/0.92 'sk_c7' ), 'sk_c5' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.54/0.92 'sk_c7' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 0.54/0.92 'sk_c6' ), 'sk_c7' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.54/0.92 'sk_c4' ), 'sk_c6' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.54/0.92 'sk_c4' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.54/0.92 'sk_c7' ), 'sk_c6' ) ],
% 0.54/0.92 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 0.54/0.92 'sk_c5' ) ],
% 0.54/0.92 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ), 'sk_c7' ) ]
% 0.54/0.92 ,
% 0.54/0.92 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2', 'sk_c6' ),
% 0.54/0.92 'sk_c7' ) ],
% 0.54/0.92 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3', 'sk_c4' ),
% 0.54/0.92 'sk_c6' ) ],
% 0.54/0.92 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ), 'sk_c4' ) ]
% 0.54/0.92 ,
% 0.54/0.92 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 0.54/0.92 'sk_c6' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.54/0.92 'sk_c7' ), 'sk_c5' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.54/0.92 'sk_c7' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 0.54/0.92 'sk_c6' ), 'sk_c7' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.54/0.92 'sk_c4' ), 'sk_c6' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.54/0.92 'sk_c4' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.54/0.92 'sk_c7' ), 'sk_c6' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.54/0.92 'sk_c7' ), 'sk_c5' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( inverse( 'sk_c2' ),
% 0.54/0.92 'sk_c7' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply( 'sk_c2',
% 0.54/0.92 'sk_c6' ), 'sk_c7' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.54/0.92 'sk_c4' ), 'sk_c6' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.54/0.92 'sk_c4' ) ],
% 0.54/0.92 [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.54/0.92 'sk_c7' ), 'sk_c6' ) ],
% 0.54/0.92 [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7'
% 0.54/0.92 ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply(
% 0.54/0.92 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ),
% 0.54/0.92 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6'
% 0.54/0.92 ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =( inverse( Z )
% 0.54/0.92 , T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ]
% 0.54/0.92 ] .
% 0.54/0.92
% 0.54/0.92
% 0.54/0.92 percentage equality = 1.000000, percentage horn = 0.142857
% 0.54/0.92 This is a pure equality problem
% 0.54/0.92
% 0.54/0.92
% 0.54/0.92
% 0.54/0.92 Options Used:
% 0.54/0.92
% 0.54/0.92 useres = 1
% 0.54/0.92 useparamod = 1
% 0.54/0.92 useeqrefl = 1
% 0.54/0.92 useeqfact = 1
% 0.54/0.92 usefactor = 1
% 0.54/0.92 usesimpsplitting = 0
% 0.54/0.92 usesimpdemod = 5
% 0.54/0.92 usesimpres = 3
% 0.54/0.92
% 0.54/0.92 resimpinuse = 1000
% 0.54/0.92 resimpclauses = 20000
% 0.54/0.92 substype = eqrewr
% 0.54/0.92 backwardsubs = 1
% 0.54/0.92 selectoldest = 5
% 0.54/0.92
% 0.54/0.92 litorderings [0] = split
% 0.54/0.92 litorderings [1] = extend the termordering, first sorting on arguments
% 0.54/0.92
% 0.54/0.92 termordering = kbo
% 0.54/0.92
% 0.54/0.92 litapriori = 0
% 0.54/0.92 termapriori = 1
% 0.54/0.92 litaposteriori = 0
% 0.54/0.92 termaposteriori = 0
% 0.54/0.92 demodaposteriori = 0
% 0.54/0.92 ordereqreflfact = 0
% 0.54/0.92
% 0.54/0.92 litselect = negord
% 0.54/0.92
% 0.54/0.92 maxweight = 15
% 0.54/0.92 maxdepth = 30000
% 0.54/0.92 maxlength = 115
% 0.54/0.92 maxnrvars = 195
% 0.54/0.92 excuselevel = 1
% 0.54/0.92 increasemaxweight = 1
% 0.54/0.92
% 0.54/0.92 maxselected = 10000000
% 0.54/0.92 maxnrclauses = 10000000
% 0.54/0.92
% 0.54/0.92 showgenerated = 0
% 0.54/0.92 showkept = 0
% 0.54/0.92 showselected = 0
% 0.54/0.92 showdeleted = 0
% 0.54/0.92 showresimp = 1
% 0.54/0.92 showstatus = 2000
% 0.54/0.92
% 0.54/0.92 prologoutput = 1
% 0.54/0.92 nrgoals = 5000000
% 0.54/0.92 totalproof = 1
% 0.54/0.92
% 0.54/0.92 Symbols occurring in the translation:
% 0.54/0.92
% 0.54/0.92 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.54/0.92 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.54/0.92 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.54/0.92 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.54/0.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.54/0.92 identity [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.54/0.92 multiply [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.54/0.92 inverse [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.54/0.92 'sk_c1' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.54/0.92 'sk_c7' [46, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.54/0.92 'sk_c6' [47, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.54/0.92 'sk_c5' [48, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.54/0.92 'sk_c2' [49, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.54/0.92 'sk_c3' [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.54/0.92 'sk_c4' [51, 0] (w:1, o:6, a:1, s:1, b:0).
% 0.54/0.92
% 0.54/0.92
% 0.54/0.92 Starting Search:
% 0.54/0.92
% 0.54/0.92
% 0.54/0.92 Bliksems!, er is een bewijs:
% 0.54/0.92 % SZS status Unsatisfiable
% 0.54/0.92 % SZS output start Refutation
% 0.54/0.92
% 0.54/0.92 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.54/0.92 , Z ) ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 6, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.54/0.92 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 7, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.54/0.92 'sk_c3' ), 'sk_c4' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 12, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.54/0.92 'sk_c4' ), 'sk_c6' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 13, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.54/0.92 'sk_c4' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 16, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 0.54/0.92 'sk_c2' ), 'sk_c7' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 17, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.54/0.92 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 21, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply(
% 0.54/0.92 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 27, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 0.54/0.92 , 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 0.54/0.92 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 0.54/0.92 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 0.54/0.92 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 0.54/0.92 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 29, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 0.54/0.92 , 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 0.54/0.92 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 0.54/0.92 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 0.54/0.92 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 0.54/0.92 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 41, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.54/0.92 identity ) ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 42, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.54/0.92 ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 56, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 0.54/0.92 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 71, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 72, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.54/0.92 multiply( Y, X ) ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 179, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 184, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.54/0.92 ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 204, [ =( multiply( X, identity ), X ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 224, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 248, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 0.54/0.92 'sk_c6' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 261, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 0.54/0.92 )
% 0.54/0.92 .
% 0.54/0.92 clause( 273, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 277, [ =( identity, 'sk_c6' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 278, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 280, [ =( multiply( 'sk_c6', X ), X ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 281, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 289, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 0.54/0.92 'sk_c5' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 293, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 313, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c5' ), X ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 323, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 328, [ ~( =( multiply( X, Y ), 'sk_c6' ) ), ~( =( inverse( X ), Y )
% 0.54/0.92 ), ~( =( multiply( Y, 'sk_c5' ), 'sk_c6' ) ) ] )
% 0.54/0.92 .
% 0.54/0.92 clause( 329, [] )
% 0.54/0.92 .
% 0.54/0.92
% 0.54/0.92
% 0.54/0.92 % SZS output end Refutation
% 0.54/0.92 found a proof!
% 0.54/0.92
% 0.54/0.92 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.54/0.92
% 0.54/0.92 initialclauses(
% 0.54/0.92 [ clause( 331, [ =( multiply( identity, X ), X ) ] )
% 0.54/0.92 , clause( 332, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.54/0.92 , clause( 333, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.54/0.92 Y, Z ) ) ) ] )
% 0.54/0.92 , clause( 334, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.54/0.92 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.54/0.92 , clause( 335, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.54/0.92 'sk_c2' ), 'sk_c7' ) ] )
% 0.54/0.92 , clause( 336, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.54/0.92 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.54/0.92 , clause( 337, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.54/0.92 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.54/0.92 , clause( 338, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.54/0.92 'sk_c3' ), 'sk_c4' ) ] )
% 0.54/0.92 , clause( 339, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.54/0.92 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 0.54/0.92 , clause( 340, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.54/0.92 'sk_c7' ), 'sk_c5' ) ] )
% 0.54/0.92 , clause( 341, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ),
% 0.54/0.92 'sk_c7' ) ] )
% 0.54/0.92 , clause( 342, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2',
% 0.54/0.92 'sk_c6' ), 'sk_c7' ) ] )
% 0.54/0.92 , clause( 343, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.54/0.92 'sk_c4' ), 'sk_c6' ) ] )
% 0.54/0.92 , clause( 344, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.54/0.92 'sk_c4' ) ] )
% 0.54/0.92 , clause( 345, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.54/0.92 'sk_c7' ), 'sk_c6' ) ] )
% 0.54/0.92 , clause( 346, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.54/0.92 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.54/0.92 , clause( 347, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 0.54/0.92 'sk_c2' ), 'sk_c7' ) ] )
% 0.54/0.92 , clause( 348, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.54/0.93 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.54/0.93 , clause( 349, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.54/0.93 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.54/0.93 , clause( 350, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 0.54/0.93 'sk_c3' ), 'sk_c4' ) ] )
% 0.54/0.93 , clause( 351, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.54/0.93 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 0.54/0.93 , clause( 352, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply(
% 0.54/0.93 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.54/0.93 , clause( 353, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( inverse(
% 0.54/0.93 'sk_c2' ), 'sk_c7' ) ] )
% 0.54/0.93 , clause( 354, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply(
% 0.54/0.93 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.54/0.93 , clause( 355, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply(
% 0.54/0.93 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.54/0.93 , clause( 356, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( inverse(
% 0.54/0.93 'sk_c3' ), 'sk_c4' ) ] )
% 0.54/0.93 , clause( 357, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply(
% 0.54/0.93 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 0.54/0.93 , clause( 358, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 0.54/0.93 X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 0.54/0.93 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 0.54/0.93 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 0.54/0.93 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 0.54/0.93 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.54/0.93 ] ).
% 0.54/0.93
% 0.54/0.93
% 0.54/0.93
% 0.54/0.93 subsumption(
% 0.54/0.93 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.54/0.93 , clause( 331, [ =( multiply( identity, X ), X ) ] )
% 0.54/0.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.54/0.93
% 0.54/0.93
% 0.54/0.93 subsumption(
% 0.54/0.93 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.54/0.93 , clause( 332, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.54/0.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.54/0.93
% 0.54/0.93
% 0.54/0.93 eqswap(
% 0.54/0.93 clause( 364, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.54/0.93 ), Z ) ) ] )
% 0.54/0.93 , clause( 333, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 10.48/10.87 Y, Z ) ) ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 10.48/10.87 , Z ) ) ] )
% 10.48/10.87 , clause( 364, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 10.48/10.87 , Y ), Z ) ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.48/10.87 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 6, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 10.48/10.87 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 10.48/10.87 , clause( 337, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 10.48/10.87 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 10.48/10.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 7, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 10.48/10.87 'sk_c3' ), 'sk_c4' ) ] )
% 10.48/10.87 , clause( 338, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 10.48/10.87 'sk_c3' ), 'sk_c4' ) ] )
% 10.48/10.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 12, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 10.48/10.87 'sk_c4' ), 'sk_c6' ) ] )
% 10.48/10.87 , clause( 343, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 10.48/10.87 'sk_c4' ), 'sk_c6' ) ] )
% 10.48/10.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 13, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 10.48/10.87 'sk_c4' ) ] )
% 10.48/10.87 , clause( 344, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 10.48/10.87 'sk_c4' ) ] )
% 10.48/10.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 16, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 10.48/10.87 'sk_c2' ), 'sk_c7' ) ] )
% 10.48/10.87 , clause( 347, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 10.48/10.87 'sk_c2' ), 'sk_c7' ) ] )
% 10.48/10.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 17, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 10.48/10.87 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 10.48/10.87 , clause( 348, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 10.48/10.87 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 10.48/10.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 21, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply(
% 10.48/10.87 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 10.48/10.87 , clause( 352, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply(
% 10.48/10.87 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 10.48/10.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 27, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 10.48/10.87 , 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 10.48/10.87 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 10.48/10.87 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 10.48/10.87 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 10.48/10.87 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 10.48/10.87 , clause( 358, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 10.48/10.87 X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 10.48/10.87 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 10.48/10.87 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 10.48/10.87 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 10.48/10.87 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 10.48/10.87 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 10.48/10.87 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ), ==>( 9,
% 10.48/10.87 9 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 factor(
% 10.48/10.87 clause( 9203, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X
% 10.48/10.87 ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 10.48/10.87 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 10.48/10.87 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 10.48/10.87 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 10.48/10.87 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 10.48/10.87 , clause( 27, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X
% 10.48/10.87 ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 10.48/10.87 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 10.48/10.87 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 10.48/10.87 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 10.48/10.87 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 10.48/10.87 , 3, 6, substitution( 0, [ :=( X, X ), :=( Y, 'sk_c5' ), :=( Z, Y ), :=( T
% 10.48/10.87 , Z )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 29, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 10.48/10.87 , 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 10.48/10.87 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 10.48/10.87 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 10.48/10.87 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 10.48/10.87 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 10.48/10.87 , clause( 9203, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 10.48/10.87 X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 10.48/10.87 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 10.48/10.87 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 10.48/10.87 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 10.48/10.87 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.48/10.87 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 10.48/10.87 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17916, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 10.48/10.87 Y, Z ) ) ) ] )
% 10.48/10.87 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 10.48/10.87 ), Z ) ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17921, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 10.48/10.87 , identity ) ) ] )
% 10.48/10.87 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 10.48/10.87 , 0, clause( 17916, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 10.48/10.87 multiply( Y, Z ) ) ) ] )
% 10.48/10.87 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.48/10.87 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 41, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 10.48/10.87 identity ) ) ] )
% 10.48/10.87 , clause( 17921, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 10.48/10.87 X, identity ) ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.48/10.87 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17926, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 10.48/10.87 Y, Z ) ) ) ] )
% 10.48/10.87 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 10.48/10.87 ), Z ) ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17931, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 10.48/10.87 ) ) ] )
% 10.48/10.87 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 10.48/10.87 , 0, clause( 17926, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 10.48/10.87 multiply( Y, Z ) ) ) ] )
% 10.48/10.87 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.48/10.87 :=( Y, identity ), :=( Z, Y )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 42, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 10.48/10.87 ] )
% 10.48/10.87 , clause( 17931, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 10.48/10.87 Y ) ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.48/10.87 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17936, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =( inverse(
% 10.48/10.87 'sk_c2' ), 'sk_c7' ) ] )
% 10.48/10.87 , clause( 16, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 10.48/10.87 'sk_c2' ), 'sk_c7' ) ] )
% 10.48/10.87 , 0, substitution( 0, [] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17939, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 10.48/10.87 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, X )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17940, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =( 'sk_c6',
% 10.48/10.87 multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 10.48/10.87 , clause( 17936, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =( inverse(
% 10.48/10.87 'sk_c2' ), 'sk_c7' ) ] )
% 10.48/10.87 , 1, clause( 17939, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 10.48/10.87 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17942, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( identity,
% 10.48/10.87 multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 10.48/10.87 , clause( 17940, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =( 'sk_c6'
% 10.48/10.87 , multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 10.48/10.87 , 1, substitution( 0, [] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17943, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 10.48/10.87 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 10.48/10.87 , clause( 17942, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( identity
% 10.48/10.87 , multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 10.48/10.87 , 1, substitution( 0, [] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 56, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 10.48/10.87 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 10.48/10.87 , clause( 17943, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 10.48/10.87 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 10.48/10.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17945, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 10.48/10.87 ) ) ] )
% 10.48/10.87 , clause( 42, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 10.48/10.87 ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17948, [ =( multiply( inverse( identity ), X ), multiply( identity
% 10.48/10.87 , X ) ) ] )
% 10.48/10.87 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 10.48/10.87 , 0, clause( 17945, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 10.48/10.87 ), Y ) ) ] )
% 10.48/10.87 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 10.48/10.87 inverse( identity ) ), :=( Y, X )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17949, [ =( multiply( inverse( identity ), X ), X ) ] )
% 10.48/10.87 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 10.48/10.87 , 0, clause( 17948, [ =( multiply( inverse( identity ), X ), multiply(
% 10.48/10.87 identity, X ) ) ] )
% 10.48/10.87 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 71, [ =( multiply( inverse( identity ), X ), X ) ] )
% 10.48/10.87 , clause( 17949, [ =( multiply( inverse( identity ), X ), X ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17952, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 10.48/10.87 Y, Z ) ) ) ] )
% 10.48/10.87 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 10.48/10.87 ), Z ) ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17957, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 10.48/10.87 multiply( X, Y ) ) ] )
% 10.48/10.87 , clause( 71, [ =( multiply( inverse( identity ), X ), X ) ] )
% 10.48/10.87 , 0, clause( 17952, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 10.48/10.87 multiply( Y, Z ) ) ) ] )
% 10.48/10.87 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.48/10.87 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 72, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 10.48/10.87 multiply( Y, X ) ) ] )
% 10.48/10.87 , clause( 17957, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 10.48/10.87 multiply( X, Y ) ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.48/10.87 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17963, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 10.48/10.87 identity ) ), Y ) ) ] )
% 10.48/10.87 , clause( 72, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 10.48/10.87 multiply( Y, X ) ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17966, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 10.48/10.87 identity, X ) ) ] )
% 10.48/10.87 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 10.48/10.87 , 0, clause( 17963, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 10.48/10.87 identity ) ), Y ) ) ] )
% 10.48/10.87 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 10.48/10.87 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17967, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 10.48/10.87 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 10.48/10.87 , 0, clause( 17966, [ =( multiply( inverse( inverse( identity ) ), X ),
% 10.48/10.87 multiply( identity, X ) ) ] )
% 10.48/10.87 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 179, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 10.48/10.87 , clause( 17967, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 10.48/10.87 )
% 10.48/10.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17970, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 10.48/10.87 Y ) ), Y ) ) ] )
% 10.48/10.87 , clause( 41, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 10.48/10.87 , identity ) ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17973, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 10.48/10.87 identity, X ) ) ] )
% 10.48/10.87 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 10.48/10.87 , 0, clause( 17970, [ =( multiply( X, identity ), multiply( multiply( X,
% 10.48/10.87 inverse( Y ) ), Y ) ) ] )
% 10.48/10.87 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 10.48/10.87 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17974, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 10.48/10.87 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 10.48/10.87 , 0, clause( 17973, [ =( multiply( inverse( inverse( X ) ), identity ),
% 10.48/10.87 multiply( identity, X ) ) ] )
% 10.48/10.87 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.48/10.87 ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 184, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 10.48/10.87 , clause( 17974, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 10.48/10.87 )
% 10.48/10.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17977, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 10.48/10.87 ) ) ] )
% 10.48/10.87 , clause( 42, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 10.48/10.87 ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17980, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 10.48/10.87 ) ) ] )
% 10.48/10.87 , clause( 184, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 10.48/10.87 , 0, clause( 17977, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 10.48/10.87 ), Y ) ) ] )
% 10.48/10.87 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 10.48/10.87 inverse( X ) ) ), :=( Y, Y )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 10.48/10.87 ) ] )
% 10.48/10.87 , clause( 17980, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 10.48/10.87 Y ) ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.48/10.87 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17986, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 10.48/10.87 ) ) ] )
% 10.48/10.87 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 10.48/10.87 ) ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17989, [ =( multiply( X, identity ), X ) ] )
% 10.48/10.87 , clause( 184, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 10.48/10.87 , 0, clause( 17986, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 10.48/10.87 ), Y ) ) ] )
% 10.48/10.87 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.48/10.87 :=( Y, identity )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 204, [ =( multiply( X, identity ), X ) ] )
% 10.48/10.87 , clause( 17989, [ =( multiply( X, identity ), X ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 17994, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 10.48/10.87 ) ) ] )
% 10.48/10.87 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 10.48/10.87 ) ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 paramod(
% 10.48/10.87 clause( 17997, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 10.48/10.87 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 10.48/10.87 , 0, clause( 17994, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 10.48/10.87 ), Y ) ) ] )
% 10.48/10.87 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 10.48/10.87 :=( X, X ), :=( Y, inverse( X ) )] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 subsumption(
% 10.48/10.87 clause( 224, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 10.48/10.87 , clause( 17997, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 10.48/10.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 18001, [ =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ), =( inverse(
% 10.48/10.87 'sk_c1' ), 'sk_c7' ) ] )
% 10.48/10.87 , clause( 12, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 10.48/10.87 'sk_c4' ), 'sk_c6' ) ] )
% 10.48/10.87 , 1, substitution( 0, [] )).
% 10.48/10.87
% 10.48/10.87
% 10.48/10.87 eqswap(
% 10.48/10.87 clause( 18003, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 10.48/10.87 , clause( 224, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 10.48/10.87 , 0, substitution( 0, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18007, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c6',
% 10.48/10.88 multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 10.48/10.88 , clause( 18001, [ =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ), =( inverse(
% 10.48/10.88 'sk_c1' ), 'sk_c7' ) ] )
% 10.48/10.88 , 1, clause( 18003, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 10.48/10.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18016, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ),
% 10.48/10.88 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 10.48/10.88 , clause( 6, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 10.48/10.88 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 10.48/10.88 , 0, clause( 18007, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 10.48/10.88 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 10.48/10.88 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18036, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 10.48/10.88 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 10.48/10.88 , clause( 18016, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' )
% 10.48/10.88 , 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 10.48/10.88 , 2, substitution( 0, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 factor(
% 10.48/10.88 clause( 18157, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 10.48/10.88 'sk_c6' ) ] )
% 10.48/10.88 , clause( 18036, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity
% 10.48/10.88 , 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 10.48/10.88 , 0, 2, substitution( 0, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 subsumption(
% 10.48/10.88 clause( 248, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 10.48/10.88 'sk_c6' ) ] )
% 10.48/10.88 , clause( 18157, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity
% 10.48/10.88 , 'sk_c6' ) ] )
% 10.48/10.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.88 ).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18159, [ =( 'sk_c4', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' ),
% 10.48/10.88 'sk_c7' ) ] )
% 10.48/10.88 , clause( 13, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 10.48/10.88 'sk_c4' ) ] )
% 10.48/10.88 , 1, substitution( 0, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18161, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 10.48/10.88 , clause( 224, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 10.48/10.88 , 0, substitution( 0, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18167, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c4',
% 10.48/10.88 inverse( 'sk_c3' ) ) ] )
% 10.48/10.88 , clause( 18159, [ =( 'sk_c4', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' )
% 10.48/10.88 , 'sk_c7' ) ] )
% 10.48/10.88 , 1, clause( 18161, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 10.48/10.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18176, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c4' ),
% 10.48/10.88 =( 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 10.48/10.88 , clause( 7, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 10.48/10.88 'sk_c3' ), 'sk_c4' ) ] )
% 10.48/10.88 , 0, clause( 18167, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 10.48/10.88 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 10.48/10.88 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18196, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ),
% 10.48/10.88 =( inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 10.48/10.88 , clause( 18176, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c4' )
% 10.48/10.88 , =( 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 10.48/10.88 , 2, substitution( 0, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 factor(
% 10.48/10.88 clause( 18319, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 10.48/10.88 )
% 10.48/10.88 , clause( 18196, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' )
% 10.48/10.88 , =( inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 10.48/10.88 , 0, 2, substitution( 0, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 subsumption(
% 10.48/10.88 clause( 261, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 10.48/10.88 )
% 10.48/10.88 , clause( 18319, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' )
% 10.48/10.88 ] )
% 10.48/10.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.88 ).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18321, [ =( 'sk_c6', identity ), =( inverse( 'sk_c3' ), 'sk_c4' ) ]
% 10.48/10.88 )
% 10.48/10.88 , clause( 261, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 10.48/10.88 )
% 10.48/10.88 , 1, substitution( 0, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18323, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 10.48/10.88 , clause( 224, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 10.48/10.88 , 0, substitution( 0, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18329, [ =( identity, multiply( 'sk_c3', 'sk_c4' ) ), =( 'sk_c6',
% 10.48/10.88 identity ) ] )
% 10.48/10.88 , clause( 18321, [ =( 'sk_c6', identity ), =( inverse( 'sk_c3' ), 'sk_c4' )
% 10.48/10.88 ] )
% 10.48/10.88 , 1, clause( 18323, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 10.48/10.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18345, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =( 'sk_c6'
% 10.48/10.88 , identity ) ] )
% 10.48/10.88 , clause( 248, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 10.48/10.88 'sk_c6' ) ] )
% 10.48/10.88 , 0, clause( 18329, [ =( identity, multiply( 'sk_c3', 'sk_c4' ) ), =(
% 10.48/10.88 'sk_c6', identity ) ] )
% 10.48/10.88 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18364, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 10.48/10.88 identity, 'sk_c6' ) ] )
% 10.48/10.88 , clause( 18345, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 10.48/10.88 'sk_c6', identity ) ] )
% 10.48/10.88 , 2, substitution( 0, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 factor(
% 10.48/10.88 clause( 18430, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 10.48/10.88 , clause( 18364, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 10.48/10.88 identity, 'sk_c6' ) ] )
% 10.48/10.88 , 0, 1, substitution( 0, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 subsumption(
% 10.48/10.88 clause( 273, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 10.48/10.88 , clause( 18430, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 10.48/10.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 10.48/10.88 ).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 factor(
% 10.48/10.88 clause( 18432, [ =( identity, 'sk_c6' ) ] )
% 10.48/10.88 , clause( 273, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 10.48/10.88 , 0, 1, substitution( 0, [] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 subsumption(
% 10.48/10.88 clause( 277, [ =( identity, 'sk_c6' ) ] )
% 10.48/10.88 , clause( 18432, [ =( identity, 'sk_c6' ) ] )
% 10.48/10.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18434, [ =( X, multiply( X, identity ) ) ] )
% 10.48/10.88 , clause( 204, [ =( multiply( X, identity ), X ) ] )
% 10.48/10.88 , 0, substitution( 0, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18435, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 10.48/10.88 , clause( 277, [ =( identity, 'sk_c6' ) ] )
% 10.48/10.88 , 0, clause( 18434, [ =( X, multiply( X, identity ) ) ] )
% 10.48/10.88 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18436, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 10.48/10.88 , clause( 18435, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 10.48/10.88 , 0, substitution( 0, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 subsumption(
% 10.48/10.88 clause( 278, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 10.48/10.88 , clause( 18436, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 10.48/10.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18438, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 10.48/10.88 , clause( 179, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 10.48/10.88 , 0, substitution( 0, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18440, [ =( X, multiply( inverse( inverse( 'sk_c6' ) ), X ) ) ] )
% 10.48/10.88 , clause( 277, [ =( identity, 'sk_c6' ) ] )
% 10.48/10.88 , 0, clause( 18438, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 10.48/10.88 ] )
% 10.48/10.88 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18441, [ =( X, multiply( 'sk_c6', X ) ) ] )
% 10.48/10.88 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 10.48/10.88 ) ) ] )
% 10.48/10.88 , 0, clause( 18440, [ =( X, multiply( inverse( inverse( 'sk_c6' ) ), X ) )
% 10.48/10.88 ] )
% 10.48/10.88 , 0, 2, substitution( 0, [ :=( X, 'sk_c6' ), :=( Y, X )] ), substitution( 1
% 10.48/10.88 , [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18442, [ =( multiply( 'sk_c6', X ), X ) ] )
% 10.48/10.88 , clause( 18441, [ =( X, multiply( 'sk_c6', X ) ) ] )
% 10.48/10.88 , 0, substitution( 0, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 subsumption(
% 10.48/10.88 clause( 280, [ =( multiply( 'sk_c6', X ), X ) ] )
% 10.48/10.88 , clause( 18442, [ =( multiply( 'sk_c6', X ), X ) ] )
% 10.48/10.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 eqswap(
% 10.48/10.88 clause( 18443, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 10.48/10.88 , clause( 278, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 10.48/10.88 , 0, substitution( 0, [ :=( X, X )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18451, [ =( 'sk_c5', 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 10.48/10.88 'sk_c5' ) ] )
% 10.48/10.88 , clause( 21, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( multiply(
% 10.48/10.88 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 10.48/10.88 , 0, clause( 18443, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 10.48/10.88 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' )] )).
% 10.48/10.88
% 10.48/10.88
% 10.48/10.88 paramod(
% 10.48/10.88 clause( 18470, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c5', 'sk_c7' ) ] )
% 10.48/10.88 , clause( 280, [ =( multiply( 'sk_c6', X ), X ) ] )
% 10.48/10.88 , 0, clause( 18451, [ =( 'sk_c5', 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c7'
% 10.48/10.89 ), 'sk_c5' ) ] )
% 10.48/10.89 , 1, 1, substitution( 0, [ :=( X, 'sk_c7' )] ), substitution( 1, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 eqswap(
% 10.48/10.89 clause( 18472, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , clause( 18470, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c5', 'sk_c7' ) ] )
% 10.48/10.89 , 1, substitution( 0, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 subsumption(
% 10.48/10.89 clause( 281, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , clause( 18472, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 10.48/10.89 ).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 factor(
% 10.48/10.89 clause( 18475, [ =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , clause( 281, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , 0, 1, substitution( 0, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 subsumption(
% 10.48/10.89 clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , clause( 18475, [ =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 eqswap(
% 10.48/10.89 clause( 18477, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =( multiply(
% 10.48/10.89 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 10.48/10.89 , clause( 17, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 10.48/10.89 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 10.48/10.89 , 0, substitution( 0, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 paramod(
% 10.48/10.89 clause( 18482, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( 'sk_c6',
% 10.48/10.89 multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 10.48/10.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , 0, clause( 18477, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =(
% 10.48/10.89 multiply( 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 10.48/10.89 , 1, 4, substitution( 0, [] ), substitution( 1, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 paramod(
% 10.48/10.89 clause( 18483, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( multiply(
% 10.48/10.89 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 10.48/10.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , 0, clause( 18482, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =(
% 10.48/10.89 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 10.48/10.89 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 paramod(
% 10.48/10.89 clause( 18488, [ =( 'sk_c2', 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c5',
% 10.48/10.89 'sk_c5' ) ) ] )
% 10.48/10.89 , clause( 278, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 10.48/10.89 , 0, clause( 18483, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =(
% 10.48/10.89 multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 10.48/10.89 , 1, 1, substitution( 0, [ :=( X, 'sk_c2' )] ), substitution( 1, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 eqswap(
% 10.48/10.89 clause( 18490, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 10.48/10.89 'sk_c5' ) ] )
% 10.48/10.89 , clause( 18488, [ =( 'sk_c2', 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c5',
% 10.48/10.89 'sk_c5' ) ) ] )
% 10.48/10.89 , 1, substitution( 0, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 subsumption(
% 10.48/10.89 clause( 289, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 10.48/10.89 'sk_c5' ) ] )
% 10.48/10.89 , clause( 18490, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 10.48/10.89 'sk_c5' ) ] )
% 10.48/10.89 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.48/10.89 ).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 eqswap(
% 10.48/10.89 clause( 18493, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =( multiply(
% 10.48/10.89 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 10.48/10.89 , clause( 56, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 10.48/10.89 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 10.48/10.89 , 0, substitution( 0, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 eqswap(
% 10.48/10.89 clause( 18496, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c2',
% 10.48/10.89 'sk_c5' ) ] )
% 10.48/10.89 , clause( 289, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 10.48/10.89 'sk_c5' ) ] )
% 10.48/10.89 , 0, substitution( 0, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 paramod(
% 10.48/10.89 clause( 18501, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( identity,
% 10.48/10.89 multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 10.48/10.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , 0, clause( 18493, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =(
% 10.48/10.89 multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 10.48/10.89 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 paramod(
% 10.48/10.89 clause( 18502, [ =( identity, multiply( 'sk_c5', 'sk_c2' ) ), =( multiply(
% 10.48/10.89 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 10.48/10.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 10.48/10.89 , 0, clause( 18501, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =(
% 10.48/10.89 identity, multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 10.48/10.89 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 10.48/10.89
% 10.48/10.89
% 10.48/10.89 paramod(
% 10.48/10.89 clause( 19231, [ =( identity, multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c6',
% 10.48/10.89 multiply( 'sk_c5', 'sk_c5' ) ), =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6'
% 10.48/10.89 ) ] )
% 10.48/10.89 , clause( 18496, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c2',
% 10.48/10.89 'sk_c5' ) ] )
% 10.48/10.89 , 1, clause( 18502, [ =( identity, multiply( 'sk_c5', 'sk_c2' ) ), =(
% 10.48/10.89 multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 19232, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c6',
% 20.42/20.89 multiply( 'sk_c5', 'sk_c5' ) ), =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6'
% 20.42/20.89 ) ] )
% 20.42/20.89 , clause( 277, [ =( identity, 'sk_c6' ) ] )
% 20.42/20.89 , 0, clause( 19231, [ =( identity, multiply( 'sk_c5', 'sk_c5' ) ), =(
% 20.42/20.89 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( multiply( 'sk_c5', 'sk_c5' )
% 20.42/20.89 , 'sk_c6' ) ] )
% 20.42/20.89 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 factor(
% 20.42/20.89 clause( 19233, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( multiply(
% 20.42/20.89 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , clause( 19232, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c6',
% 20.42/20.89 multiply( 'sk_c5', 'sk_c5' ) ), =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6'
% 20.42/20.89 ) ] )
% 20.42/20.89 , 0, 1, substitution( 0, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqswap(
% 20.42/20.89 clause( 19234, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 20.42/20.89 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , clause( 19233, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( multiply(
% 20.42/20.89 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , 0, substitution( 0, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 factor(
% 20.42/20.89 clause( 19237, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , clause( 19234, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 20.42/20.89 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , 0, 1, substitution( 0, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 subsumption(
% 20.42/20.89 clause( 293, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , clause( 19237, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqswap(
% 20.42/20.89 clause( 19240, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 20.42/20.89 Y, Z ) ) ) ] )
% 20.42/20.89 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 20.42/20.89 ), Z ) ) ] )
% 20.42/20.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 19243, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c5' ), multiply(
% 20.42/20.89 X, 'sk_c6' ) ) ] )
% 20.42/20.89 , clause( 293, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , 0, clause( 19240, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 20.42/20.89 multiply( Y, Z ) ) ) ] )
% 20.42/20.89 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 20.42/20.89 'sk_c5' ), :=( Z, 'sk_c5' )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 19244, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c5' ), X ) ] )
% 20.42/20.89 , clause( 278, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 20.42/20.89 , 0, clause( 19243, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c5' ),
% 20.42/20.89 multiply( X, 'sk_c6' ) ) ] )
% 20.42/20.89 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 subsumption(
% 20.42/20.89 clause( 313, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c5' ), X ) ] )
% 20.42/20.89 , clause( 19244, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c5' ), X ) ] )
% 20.42/20.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqswap(
% 20.42/20.89 clause( 19247, [ =( X, multiply( multiply( X, 'sk_c5' ), 'sk_c5' ) ) ] )
% 20.42/20.89 , clause( 313, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c5' ), X ) ] )
% 20.42/20.89 , 0, substitution( 0, [ :=( X, X )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 19249, [ =( inverse( 'sk_c5' ), multiply( identity, 'sk_c5' ) ) ]
% 20.42/20.89 )
% 20.42/20.89 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 20.42/20.89 , 0, clause( 19247, [ =( X, multiply( multiply( X, 'sk_c5' ), 'sk_c5' ) ) ]
% 20.42/20.89 )
% 20.42/20.89 , 0, 4, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [ :=( X,
% 20.42/20.89 inverse( 'sk_c5' ) )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 19250, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 20.42/20.89 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 20.42/20.89 , 0, clause( 19249, [ =( inverse( 'sk_c5' ), multiply( identity, 'sk_c5' )
% 20.42/20.89 ) ] )
% 20.42/20.89 , 0, 3, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 subsumption(
% 20.42/20.89 clause( 323, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 20.42/20.89 , clause( 19250, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 20.42/20.89 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqswap(
% 20.42/20.89 clause( 19253, [ ~( =( 'sk_c6', multiply( X, 'sk_c7' ) ) ), ~( =( inverse(
% 20.42/20.89 X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 20.42/20.89 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 20.42/20.89 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 20.42/20.89 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 20.42/20.89 , clause( 29, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X
% 20.42/20.89 ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 20.42/20.89 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 20.42/20.89 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 20.42/20.89 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 20.42/20.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 19774, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c6', multiply(
% 20.42/20.89 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ),
% 20.42/20.89 ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 20.42/20.89 , 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 20.42/20.89 multiply( X, Y ), 'sk_c6' ) ), ~( =( inverse( X ), Y ) ), ~( =( multiply(
% 20.42/20.89 Y, 'sk_c7' ), 'sk_c6' ) ) ] )
% 20.42/20.89 , clause( 323, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 20.42/20.89 , 0, clause( 19253, [ ~( =( 'sk_c6', multiply( X, 'sk_c7' ) ) ), ~( =(
% 20.42/20.89 inverse( X ), 'sk_c7' ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' )
% 20.42/20.89 ), ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply(
% 20.42/20.89 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ),
% 20.42/20.89 ~( =( multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =(
% 20.42/20.89 multiply( Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 20.42/20.89 , 1, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' ), :=( Y,
% 20.42/20.89 X ), :=( Z, Y )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 19778, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ),
% 20.42/20.89 ~( =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( 'sk_c7'
% 20.42/20.89 , 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) )
% 20.42/20.89 , ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =( multiply( X, Y )
% 20.42/20.89 , 'sk_c6' ) ), ~( =( inverse( X ), Y ) ), ~( =( multiply( Y, 'sk_c7' ),
% 20.42/20.89 'sk_c6' ) ) ] )
% 20.42/20.89 , clause( 323, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 20.42/20.89 , 0, clause( 19774, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c6', multiply(
% 20.42/20.89 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ),
% 20.42/20.89 ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 20.42/20.89 , 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 20.42/20.89 multiply( X, Y ), 'sk_c6' ) ), ~( =( inverse( X ), Y ) ), ~( =( multiply(
% 20.42/20.89 Y, 'sk_c7' ), 'sk_c6' ) ) ] )
% 20.42/20.89 , 5, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 19796, [ ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5',
% 20.42/20.89 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c6', multiply( 'sk_c5'
% 20.42/20.89 , 'sk_c7' ) ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6',
% 20.42/20.89 'sk_c7' ), 'sk_c5' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 20.42/20.89 , 0, clause( 19778, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' )
% 20.42/20.89 ), ~( =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply(
% 20.42/20.89 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 20.42/20.89 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ), ~( =(
% 20.42/20.89 multiply( X, Y ), 'sk_c6' ) ), ~( =( inverse( X ), Y ) ), ~( =( multiply(
% 20.42/20.89 Y, 'sk_c7' ), 'sk_c6' ) ) ] )
% 20.42/20.89 , 8, 4, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 factor(
% 20.42/20.89 clause( 19900, [ ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5',
% 20.42/20.89 'sk_c7' ) ), ~( =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =(
% 20.42/20.89 multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5',
% 20.42/20.89 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) ),
% 20.42/20.89 ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 19796, [ ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5'
% 20.42/20.89 , 'sk_c7' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c6', multiply(
% 20.42/20.89 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ),
% 20.42/20.89 ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 20.42/20.89 , 'sk_c7' ), 'sk_c5' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 inverse( Y ), X ) ) ] )
% 20.42/20.89 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16226290, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c5' ) ), ~( =(
% 20.42/20.89 multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =(
% 20.42/20.89 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( 'sk_c7',
% 20.42/20.89 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ),
% 20.42/20.89 ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 20.42/20.89 , 0, clause( 19900, [ ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ) ),
% 20.42/20.89 ~( =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5'
% 20.42/20.89 , 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c5' ) )
% 20.42/20.89 , ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 5, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16330457, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 multiply( 'sk_c6', 'sk_c5' ), 'sk_c5' ) ), ~( =( multiply( X, 'sk_c5' ),
% 20.42/20.89 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c6', multiply( 'sk_c5'
% 20.42/20.89 , 'sk_c7' ) ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ), ~( =(
% 20.42/20.89 multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 20.42/20.89 , 0, clause( 16226290, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c5' ) ),
% 20.42/20.89 ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ),
% 20.42/20.89 ~( =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( 'sk_c7'
% 20.42/20.89 , 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) )
% 20.42/20.89 , ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 4, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16481995, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c5',
% 20.42/20.89 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c5' ) ),
% 20.42/20.89 ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ),
% 20.42/20.89 ~( =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( Y, X ),
% 20.42/20.89 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 278, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 20.42/20.89 , 0, clause( 16330457, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ),
% 20.42/20.89 ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c5' ) ), ~( =( multiply( X,
% 20.42/20.89 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c6',
% 20.42/20.89 multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( 'sk_c5', 'sk_c6' ),
% 20.42/20.89 'sk_c7' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X )
% 20.42/20.89 ) ] )
% 20.42/20.89 , 5, 2, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [ :=( X, X
% 20.42/20.89 ), :=( Y, Y )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16483875, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c7' ) )
% 20.42/20.89 , ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( X,
% 20.42/20.89 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c6',
% 20.42/20.89 multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ),
% 20.42/20.89 ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 280, [ =( multiply( 'sk_c6', X ), X ) ] )
% 20.42/20.89 , 0, clause( 16481995, [ ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply(
% 20.42/20.89 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6', 'sk_c5' ),
% 20.42/20.89 'sk_c5' ) ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5',
% 20.42/20.89 'sk_c7' ) ), ~( =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =(
% 20.42/20.89 multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 2, 2, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [ :=( X, X
% 20.42/20.89 ), :=( Y, Y )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16485064, [ ~( =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ) ), ~( =(
% 20.42/20.89 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( 'sk_c5'
% 20.42/20.89 , 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~(
% 20.42/20.89 =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 20.42/20.89 , 0, clause( 16483875, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c7'
% 20.42/20.89 ) ), ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( X
% 20.42/20.89 , 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( 'sk_c6',
% 20.42/20.89 multiply( 'sk_c5', 'sk_c7' ) ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ),
% 20.42/20.89 ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 5, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16485084, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6', multiply(
% 20.42/20.89 'sk_c5', 'sk_c5' ) ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c5',
% 20.42/20.89 'sk_c7' ) ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5',
% 20.42/20.89 'sk_c7' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X )
% 20.42/20.89 ) ] )
% 20.42/20.89 , clause( 293, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , 0, clause( 16485064, [ ~( =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ) ),
% 20.42/20.89 ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply(
% 20.42/20.89 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' )
% 20.42/20.89 ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~(
% 20.42/20.89 =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 3, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16485094, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6' ) )
% 20.42/20.89 , ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply(
% 20.42/20.89 X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( Y
% 20.42/20.89 , X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 293, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , 0, clause( 16485084, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6',
% 20.42/20.89 multiply( 'sk_c5', 'sk_c5' ) ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 20.42/20.89 'sk_c5', 'sk_c7' ) ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 'sk_c5', 'sk_c7' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse(
% 20.42/20.89 Y ), X ) ) ] )
% 20.42/20.89 , 1, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16485365, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) )
% 20.42/20.89 , ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply(
% 20.42/20.89 X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =( multiply( Y
% 20.42/20.89 , X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 20.42/20.89 , 0, clause( 16485094, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6'
% 20.42/20.89 ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =(
% 20.42/20.89 multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =(
% 20.42/20.89 multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 3, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16485374, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' ) )
% 20.42/20.89 , ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5',
% 20.42/20.89 'sk_c5' ) ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( Y
% 20.42/20.89 , X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 286, [ =( 'sk_c7', 'sk_c5' ) ] )
% 20.42/20.89 , 0, clause( 16485365, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6'
% 20.42/20.89 ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 20.42/20.89 multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c7' ) ), ~( =(
% 20.42/20.89 multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 5, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 20.42/20.89 ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqrefl(
% 20.42/20.89 clause( 16485521, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) )
% 20.42/20.89 , ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply(
% 20.42/20.89 X, 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 16485374, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c5' )
% 20.42/20.89 ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5'
% 20.42/20.89 , 'sk_c5' ) ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply(
% 20.42/20.89 Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqrefl(
% 20.42/20.89 clause( 16485585, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6' ) )
% 20.42/20.89 , ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ),
% 20.42/20.89 ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 16485521, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' )
% 20.42/20.89 ), ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =(
% 20.42/20.89 multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) )
% 20.42/20.89 , ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqrefl(
% 20.42/20.89 clause( 16485622, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' ) )
% 20.42/20.89 , ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( Y, X ),
% 20.42/20.89 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 16485585, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c6', 'sk_c6' )
% 20.42/20.89 ), ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) )
% 20.42/20.89 , ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqrefl(
% 20.42/20.89 clause( 16485627, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( X, 'sk_c5'
% 20.42/20.89 ), 'sk_c6' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y )
% 20.42/20.89 , X ) ) ] )
% 20.42/20.89 , clause( 16485622, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( 'sk_c5', 'sk_c5' )
% 20.42/20.89 ), ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( Y, X ),
% 20.42/20.89 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqrefl(
% 20.42/20.89 clause( 16485635, [ ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , clause( 16485627, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( multiply( X,
% 20.42/20.89 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( Y, X ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 inverse( Y ), X ) ) ] )
% 20.42/20.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 subsumption(
% 20.42/20.89 clause( 328, [ ~( =( multiply( X, Y ), 'sk_c6' ) ), ~( =( inverse( X ), Y )
% 20.42/20.89 ), ~( =( multiply( Y, 'sk_c5' ), 'sk_c6' ) ) ] )
% 20.42/20.89 , clause( 16485635, [ ~( =( multiply( X, 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 multiply( Y, X ), 'sk_c6' ) ), ~( =( inverse( Y ), X ) ) ] )
% 20.42/20.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 20.42/20.89 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 factor(
% 20.42/20.89 clause( 16485659, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ), ~( =(
% 20.42/20.89 inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 20.42/20.89 , clause( 328, [ ~( =( multiply( X, Y ), 'sk_c6' ) ), ~( =( inverse( X ), Y
% 20.42/20.89 ) ), ~( =( multiply( Y, 'sk_c5' ), 'sk_c6' ) ) ] )
% 20.42/20.89 , 0, 2, substitution( 0, [ :=( X, 'sk_c5' ), :=( Y, 'sk_c5' )] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16485660, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ),
% 20.42/20.89 'sk_c5' ) ) ] )
% 20.42/20.89 , clause( 293, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 20.42/20.89 , 0, clause( 16485659, [ ~( =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ),
% 20.42/20.89 ~( =( inverse( 'sk_c5' ), 'sk_c5' ) ) ] )
% 20.42/20.89 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 paramod(
% 20.42/20.89 clause( 16485661, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' ) )
% 20.42/20.89 ] )
% 20.42/20.89 , clause( 323, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 20.42/20.89 , 0, clause( 16485660, [ ~( =( 'sk_c6', 'sk_c6' ) ), ~( =( inverse( 'sk_c5'
% 20.42/20.89 ), 'sk_c5' ) ) ] )
% 20.42/20.89 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqrefl(
% 20.42/20.89 clause( 16485662, [ ~( =( 'sk_c6', 'sk_c6' ) ) ] )
% 20.42/20.89 , clause( 16485661, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c6' )
% 20.42/20.89 ) ] )
% 20.42/20.89 , 0, substitution( 0, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 eqrefl(
% 20.42/20.89 clause( 16485664, [] )
% 20.42/20.89 , clause( 16485662, [ ~( =( 'sk_c6', 'sk_c6' ) ) ] )
% 20.42/20.89 , 0, substitution( 0, [] )).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 subsumption(
% 20.42/20.89 clause( 329, [] )
% 20.42/20.89 , clause( 16485664, [] )
% 20.42/20.89 , substitution( 0, [] ), permutation( 0, [] ) ).
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 end.
% 20.42/20.89
% 20.42/20.89 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 20.42/20.89
% 20.42/20.89 Memory use:
% 20.42/20.89
% 20.42/20.89 space for terms: 6828
% 20.42/20.89 space for clauses: 17549
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 clauses generated: 2873
% 20.42/20.89 clauses kept: 330
% 20.42/20.89 clauses selected: 73
% 20.42/20.89 clauses deleted: 7
% 20.42/20.89 clauses inuse deleted: 0
% 20.42/20.89
% 20.42/20.89 subsentry: 59622422
% 20.42/20.89 literals s-matched: 7634731
% 20.42/20.89 literals matched: 7634719
% 20.42/20.89 full subsumption: 646084
% 20.42/20.89
% 20.42/20.89 checksum: -2108298025
% 20.42/20.89
% 20.42/20.89
% 20.42/20.89 Bliksem ended
%------------------------------------------------------------------------------