TSTP Solution File: GRP353-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP353-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:36:37 EDT 2022
% Result : Unsatisfiable 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP353-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 18:09:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09 [
% 0.72/1.09 [ =( multiply( identity, X ), X ) ],
% 0.72/1.09 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.72/1.09 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.72/1.09 ],
% 0.72/1.09 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.72/1.09 'sk_c7' ), 'sk_c5' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse( 'sk_c2' ),
% 0.72/1.09 'sk_c7' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply( 'sk_c2',
% 0.72/1.09 'sk_c6' ), 'sk_c7' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.72/1.09 'sk_c4' ), 'sk_c6' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.72/1.09 'sk_c4' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.72/1.09 'sk_c7' ), 'sk_c6' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.72/1.09 'sk_c7' ), 'sk_c5' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.72/1.09 'sk_c7' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 0.72/1.09 'sk_c6' ), 'sk_c7' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.72/1.09 'sk_c4' ), 'sk_c6' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.72/1.09 'sk_c4' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.72/1.09 'sk_c7' ), 'sk_c6' ) ],
% 0.72/1.09 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 0.72/1.09 'sk_c5' ) ],
% 0.72/1.09 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ), 'sk_c7' ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2', 'sk_c6' ),
% 0.72/1.09 'sk_c7' ) ],
% 0.72/1.09 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3', 'sk_c4' ),
% 0.72/1.09 'sk_c6' ) ],
% 0.72/1.09 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ), 'sk_c4' ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 0.72/1.09 'sk_c6' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.72/1.09 'sk_c7' ), 'sk_c5' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.72/1.09 'sk_c7' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 0.72/1.09 'sk_c6' ), 'sk_c7' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.72/1.09 'sk_c4' ), 'sk_c6' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.72/1.09 'sk_c4' ) ],
% 0.72/1.09 [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.72/1.09 'sk_c7' ), 'sk_c6' ) ],
% 0.72/1.09 [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =( multiply( X,
% 0.72/1.09 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply(
% 0.72/1.09 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ),
% 0.72/1.09 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6'
% 0.72/1.09 ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =( inverse( Z )
% 0.72/1.09 , T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ]
% 0.72/1.09 ] .
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 percentage equality = 1.000000, percentage horn = 0.142857
% 0.72/1.09 This is a pure equality problem
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 1
% 0.72/1.09 useeqrefl = 1
% 0.72/1.09 useeqfact = 1
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 5
% 0.72/1.09 usesimpres = 3
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = eqrewr
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.09
% 0.72/1.09 termordering = kbo
% 0.72/1.09
% 0.72/1.09 litapriori = 0
% 0.72/1.09 termapriori = 1
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = negord
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 1
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 identity [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.72/1.09 multiply [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.09 inverse [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.09 'sk_c6' [45, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.72/1.09 'sk_c5' [46, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.72/1.09 'sk_c7' [47, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.72/1.09 'sk_c2' [48, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.09 'sk_c3' [49, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.09 'sk_c4' [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.72/1.09 'sk_c1' [51, 0] (w:1, o:9, a:1, s:1, b:0).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Starting Search:
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksems!, er is een bewijs:
% 0.72/1.09 % SZS status Unsatisfiable
% 0.72/1.09 % SZS output start Refutation
% 0.72/1.09
% 0.72/1.09 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 3, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.09 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 13, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.09 'sk_c3' ), 'sk_c4' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.72/1.09 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 19, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.72/1.09 'sk_c4' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 22, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 0.72/1.09 'sk_c2' ), 'sk_c7' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 23, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 27, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 0.72/1.09 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.72/1.09 =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 0.72/1.09 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 0.72/1.09 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 0.72/1.09 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 28, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 0.72/1.09 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.72/1.09 =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 0.72/1.09 'sk_c7' ), 'sk_c5' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~( =(
% 0.72/1.09 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 0.72/1.09 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 40, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.72/1.09 identity ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 41, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.72/1.09 ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 51, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 0.72/1.09 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 70, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 71, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.72/1.09 multiply( Y, X ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 171, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 176, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 177, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 196, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 216, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 243, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 0.72/1.09 'sk_c6' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 253, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 0.72/1.09 )
% 0.72/1.09 .
% 0.72/1.09 clause( 265, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 269, [ =( identity, 'sk_c6' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 270, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 272, [ =( multiply( 'sk_c6', X ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 288, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 289, [ =( 'sk_c7', 'sk_c5' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 292, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 0.72/1.09 'sk_c5' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 299, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 309, [ =( multiply( multiply( X, 'sk_c5' ), 'sk_c5' ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 322, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 326, [ ~( =( multiply( X, Y ), 'sk_c6' ) ), ~( =( inverse( X ), Y )
% 0.72/1.09 ), ~( =( multiply( Y, 'sk_c5' ), 'sk_c6' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 327, [] )
% 0.72/1.09 .
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 % SZS output end Refutation
% 0.72/1.09 found a proof!
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 initialclauses(
% 0.72/1.09 [ clause( 329, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.09 , clause( 330, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.09 , clause( 331, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.72/1.09 Y, Z ) ) ) ] )
% 0.72/1.09 , clause( 332, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.09 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.09 , clause( 333, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.09 'sk_c2' ), 'sk_c7' ) ] )
% 0.72/1.09 , clause( 334, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.09 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.09 , clause( 335, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.09 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.09 , clause( 336, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( inverse(
% 0.72/1.09 'sk_c3' ), 'sk_c4' ) ] )
% 0.72/1.09 , clause( 337, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 0.72/1.09 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 0.72/1.09 , clause( 338, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.09 , clause( 339, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.09 'sk_c2' ), 'sk_c7' ) ] )
% 0.72/1.09 , clause( 340, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.09 , clause( 341, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.09 , clause( 342, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 0.72/1.09 'sk_c3' ), 'sk_c4' ) ] )
% 0.72/1.09 , clause( 343, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 0.72/1.09 , clause( 344, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.72/1.09 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.09 , clause( 345, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c2' ),
% 0.72/1.09 'sk_c7' ) ] )
% 0.72/1.09 , clause( 346, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c2',
% 0.72/1.09 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.09 , clause( 347, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 0.72/1.09 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.09 , clause( 348, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 0.72/1.09 'sk_c4' ) ] )
% 0.72/1.09 , clause( 349, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.72/1.09 'sk_c7' ), 'sk_c6' ) ] )
% 0.72/1.09 , clause( 350, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 0.72/1.09 , clause( 351, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 0.72/1.09 'sk_c2' ), 'sk_c7' ) ] )
% 0.72/1.09 , clause( 352, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 0.72/1.09 , clause( 353, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 0.72/1.09 , clause( 354, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 0.72/1.09 'sk_c3' ), 'sk_c4' ) ] )
% 0.72/1.09 , clause( 355, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 0.72/1.09 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 0.72/1.09 , clause( 356, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 0.72/1.09 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.72/1.09 =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 0.72/1.09 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 0.72/1.09 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 0.72/1.09 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 0.72/1.09 ] ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.09 , clause( 329, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.09 , clause( 330, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 362, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.09 ), Z ) ) ] )
% 0.72/1.09 , clause( 331, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 8.03/8.40 Y, Z ) ) ) ] )
% 8.03/8.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 8.03/8.40 , Z ) ) ] )
% 8.03/8.40 , clause( 362, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 8.03/8.40 , Y ), Z ) ) ] )
% 8.03/8.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.03/8.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 3, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 8.03/8.40 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 8.03/8.40 , clause( 332, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 8.03/8.40 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 8.03/8.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.40 ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 8.03/8.40 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 8.03/8.40 , clause( 341, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 8.03/8.40 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 8.03/8.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.40 ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 13, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 8.03/8.40 'sk_c3' ), 'sk_c4' ) ] )
% 8.03/8.40 , clause( 342, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 8.03/8.40 'sk_c3' ), 'sk_c4' ) ] )
% 8.03/8.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.40 ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 8.03/8.40 'sk_c4' ), 'sk_c6' ) ] )
% 8.03/8.40 , clause( 347, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 8.03/8.40 'sk_c4' ), 'sk_c6' ) ] )
% 8.03/8.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.40 ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 19, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 8.03/8.40 'sk_c4' ) ] )
% 8.03/8.40 , clause( 348, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 8.03/8.40 'sk_c4' ) ] )
% 8.03/8.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.40 ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 22, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 8.03/8.40 'sk_c2' ), 'sk_c7' ) ] )
% 8.03/8.40 , clause( 351, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 8.03/8.40 'sk_c2' ), 'sk_c7' ) ] )
% 8.03/8.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.40 ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 23, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 8.03/8.40 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 8.03/8.40 , clause( 352, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 8.03/8.40 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 8.03/8.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.40 ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 27, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 8.03/8.40 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 8.03/8.40 =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 8.03/8.40 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 8.03/8.40 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 8.03/8.40 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 8.03/8.40 , clause( 356, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 8.03/8.40 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 8.03/8.40 =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 8.03/8.40 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 8.03/8.40 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 8.03/8.40 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 8.03/8.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 8.03/8.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 8.03/8.40 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ), ==>( 9,
% 8.03/8.40 9 )] ) ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 factor(
% 8.03/8.40 clause( 7318, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 8.03/8.40 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 8.03/8.40 =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 8.03/8.40 'sk_c7' ), 'sk_c5' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~( =(
% 8.03/8.40 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 8.03/8.40 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 8.03/8.40 , clause( 27, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 8.03/8.40 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 8.03/8.40 =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 8.03/8.40 'sk_c7' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c7' ) ), ~( =( multiply(
% 8.03/8.40 Y, 'sk_c6' ), 'sk_c7' ) ), ~( =( multiply( Z, T ), 'sk_c6' ) ), ~( =(
% 8.03/8.40 inverse( Z ), T ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ) ] )
% 8.03/8.40 , 2, 5, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 8.03/8.40 ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 subsumption(
% 8.03/8.40 clause( 28, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 8.03/8.40 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 8.03/8.40 =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 8.03/8.40 'sk_c7' ), 'sk_c5' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~( =(
% 8.03/8.40 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 8.03/8.40 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 8.03/8.40 , clause( 7318, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ) ), ~( =(
% 8.03/8.40 multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 8.03/8.40 =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( 'sk_c6',
% 8.03/8.40 'sk_c7' ), 'sk_c5' ) ), ~( =( multiply( X, 'sk_c6' ), 'sk_c7' ) ), ~( =(
% 8.03/8.40 multiply( Y, Z ), 'sk_c6' ) ), ~( =( inverse( Y ), Z ) ), ~( =( multiply(
% 8.03/8.40 Z, 'sk_c7' ), 'sk_c6' ) ) ] )
% 8.03/8.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.03/8.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 8.03/8.40 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 )] ) ).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 eqswap(
% 8.03/8.40 clause( 13309, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 8.03/8.40 Y, Z ) ) ) ] )
% 8.03/8.40 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 8.03/8.40 ), Z ) ) ] )
% 8.03/8.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 8.03/8.40
% 8.03/8.40
% 8.03/8.40 paramod(
% 8.03/8.40 clause( 13314, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 8.03/8.40 , identity ) ) ] )
% 8.03/8.40 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 8.03/8.40 , 0, clause( 13309, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 8.03/8.40 multiply( Y, Z ) ) ) ] )
% 8.03/8.40 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 8.03/8.41 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 40, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 8.03/8.41 identity ) ) ] )
% 8.03/8.41 , clause( 13314, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 8.03/8.41 X, identity ) ) ] )
% 8.03/8.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 8.03/8.41 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13319, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 8.03/8.41 Y, Z ) ) ) ] )
% 8.03/8.41 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 8.03/8.41 ), Z ) ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13324, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 8.03/8.41 ) ) ] )
% 8.03/8.41 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 8.03/8.41 , 0, clause( 13319, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 8.03/8.41 multiply( Y, Z ) ) ) ] )
% 8.03/8.41 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 8.03/8.41 :=( Y, identity ), :=( Z, Y )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 41, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 8.03/8.41 ] )
% 8.03/8.41 , clause( 13324, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 8.03/8.41 Y ) ) ] )
% 8.03/8.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 8.03/8.41 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13329, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =( inverse(
% 8.03/8.41 'sk_c2' ), 'sk_c7' ) ] )
% 8.03/8.41 , clause( 22, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 8.03/8.41 'sk_c2' ), 'sk_c7' ) ] )
% 8.03/8.41 , 0, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13332, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 8.03/8.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13333, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =( 'sk_c6',
% 8.03/8.41 multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 8.03/8.41 , clause( 13329, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =( inverse(
% 8.03/8.41 'sk_c2' ), 'sk_c7' ) ] )
% 8.03/8.41 , 1, clause( 13332, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 8.03/8.41 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13335, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( identity,
% 8.03/8.41 multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 8.03/8.41 , clause( 13333, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =( 'sk_c6'
% 8.03/8.41 , multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 8.03/8.41 , 1, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13336, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 8.03/8.41 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 8.03/8.41 , clause( 13335, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( identity
% 8.03/8.41 , multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 8.03/8.41 , 1, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 51, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 8.03/8.41 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 8.03/8.41 , clause( 13336, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 8.03/8.41 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 8.03/8.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.41 ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13338, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 8.03/8.41 ) ) ] )
% 8.03/8.41 , clause( 41, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 8.03/8.41 ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13341, [ =( multiply( inverse( identity ), X ), multiply( identity
% 8.03/8.41 , X ) ) ] )
% 8.03/8.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 8.03/8.41 , 0, clause( 13338, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 8.03/8.41 ), Y ) ) ] )
% 8.03/8.41 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 8.03/8.41 inverse( identity ) ), :=( Y, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13342, [ =( multiply( inverse( identity ), X ), X ) ] )
% 8.03/8.41 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 8.03/8.41 , 0, clause( 13341, [ =( multiply( inverse( identity ), X ), multiply(
% 8.03/8.41 identity, X ) ) ] )
% 8.03/8.41 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 8.03/8.41 ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 70, [ =( multiply( inverse( identity ), X ), X ) ] )
% 8.03/8.41 , clause( 13342, [ =( multiply( inverse( identity ), X ), X ) ] )
% 8.03/8.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13345, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 8.03/8.41 Y, Z ) ) ) ] )
% 8.03/8.41 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 8.03/8.41 ), Z ) ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13350, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 8.03/8.41 multiply( X, Y ) ) ] )
% 8.03/8.41 , clause( 70, [ =( multiply( inverse( identity ), X ), X ) ] )
% 8.03/8.41 , 0, clause( 13345, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 8.03/8.41 multiply( Y, Z ) ) ) ] )
% 8.03/8.41 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 8.03/8.41 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 71, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 8.03/8.41 multiply( Y, X ) ) ] )
% 8.03/8.41 , clause( 13350, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 8.03/8.41 multiply( X, Y ) ) ] )
% 8.03/8.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 8.03/8.41 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13356, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 8.03/8.41 identity ) ), Y ) ) ] )
% 8.03/8.41 , clause( 71, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 8.03/8.41 multiply( Y, X ) ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13359, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 8.03/8.41 identity, X ) ) ] )
% 8.03/8.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 8.03/8.41 , 0, clause( 13356, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 8.03/8.41 identity ) ), Y ) ) ] )
% 8.03/8.41 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 8.03/8.41 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13360, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 8.03/8.41 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 8.03/8.41 , 0, clause( 13359, [ =( multiply( inverse( inverse( identity ) ), X ),
% 8.03/8.41 multiply( identity, X ) ) ] )
% 8.03/8.41 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 8.03/8.41 ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 171, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 8.03/8.41 , clause( 13360, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 8.03/8.41 )
% 8.03/8.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13363, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 8.03/8.41 Y ) ), Y ) ) ] )
% 8.03/8.41 , clause( 40, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 8.03/8.41 , identity ) ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13366, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 8.03/8.41 identity, X ) ) ] )
% 8.03/8.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 8.03/8.41 , 0, clause( 13363, [ =( multiply( X, identity ), multiply( multiply( X,
% 8.03/8.41 inverse( Y ) ), Y ) ) ] )
% 8.03/8.41 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 8.03/8.41 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13367, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 8.03/8.41 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 8.03/8.41 , 0, clause( 13366, [ =( multiply( inverse( inverse( X ) ), identity ),
% 8.03/8.41 multiply( identity, X ) ) ] )
% 8.03/8.41 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 8.03/8.41 ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 176, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 8.03/8.41 , clause( 13367, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 8.03/8.41 )
% 8.03/8.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13370, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 8.03/8.41 ) ) ] )
% 8.03/8.41 , clause( 41, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 8.03/8.41 ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13373, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 8.03/8.41 ) ) ] )
% 8.03/8.41 , clause( 176, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 8.03/8.41 , 0, clause( 13370, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 8.03/8.41 ), Y ) ) ] )
% 8.03/8.41 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 8.03/8.41 inverse( X ) ) ), :=( Y, Y )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 177, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 8.03/8.41 ) ] )
% 8.03/8.41 , clause( 13373, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 8.03/8.41 Y ) ) ] )
% 8.03/8.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.03/8.41 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13379, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 8.03/8.41 ) ) ] )
% 8.03/8.41 , clause( 177, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 8.03/8.41 ) ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13382, [ =( multiply( X, identity ), X ) ] )
% 8.03/8.41 , clause( 176, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 8.03/8.41 , 0, clause( 13379, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 8.03/8.41 ), Y ) ) ] )
% 8.03/8.41 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 8.03/8.41 :=( Y, identity )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 196, [ =( multiply( X, identity ), X ) ] )
% 8.03/8.41 , clause( 13382, [ =( multiply( X, identity ), X ) ] )
% 8.03/8.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13387, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 8.03/8.41 ) ) ] )
% 8.03/8.41 , clause( 177, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 8.03/8.41 ) ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13390, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 8.03/8.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 8.03/8.41 , 0, clause( 13387, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 8.03/8.41 ), Y ) ) ] )
% 8.03/8.41 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 8.03/8.41 :=( X, X ), :=( Y, inverse( X ) )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 216, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 8.03/8.41 , clause( 13390, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 8.03/8.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13394, [ =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ), =( inverse(
% 8.03/8.41 'sk_c1' ), 'sk_c7' ) ] )
% 8.03/8.41 , clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c3',
% 8.03/8.41 'sk_c4' ), 'sk_c6' ) ] )
% 8.03/8.41 , 1, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13396, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 8.03/8.41 , clause( 216, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13400, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c6',
% 8.03/8.41 multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 8.03/8.41 , clause( 13394, [ =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ), =( inverse(
% 8.03/8.41 'sk_c1' ), 'sk_c7' ) ] )
% 8.03/8.41 , 1, clause( 13396, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 8.03/8.41 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13409, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ),
% 8.03/8.41 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 8.03/8.41 , clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 8.03/8.41 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 8.03/8.41 , 0, clause( 13400, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 8.03/8.41 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 8.03/8.41 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13429, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 8.03/8.41 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 8.03/8.41 , clause( 13409, [ =( identity, 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' )
% 8.03/8.41 , 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c3', 'sk_c4' ) ) ] )
% 8.03/8.41 , 2, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 factor(
% 8.03/8.41 clause( 13550, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 8.03/8.41 'sk_c6' ) ] )
% 8.03/8.41 , clause( 13429, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity
% 8.03/8.41 , 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ) ] )
% 8.03/8.41 , 0, 2, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 243, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 8.03/8.41 'sk_c6' ) ] )
% 8.03/8.41 , clause( 13550, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity
% 8.03/8.41 , 'sk_c6' ) ] )
% 8.03/8.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.41 ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13552, [ =( 'sk_c4', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' ),
% 8.03/8.41 'sk_c7' ) ] )
% 8.03/8.41 , clause( 19, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c3' ),
% 8.03/8.41 'sk_c4' ) ] )
% 8.03/8.41 , 1, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13554, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 8.03/8.41 , clause( 216, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13560, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c4',
% 8.03/8.41 inverse( 'sk_c3' ) ) ] )
% 8.03/8.41 , clause( 13552, [ =( 'sk_c4', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' )
% 8.03/8.41 , 'sk_c7' ) ] )
% 8.03/8.41 , 1, clause( 13554, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 8.03/8.41 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13569, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c4' ),
% 8.03/8.41 =( 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 8.03/8.41 , clause( 13, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 8.03/8.41 'sk_c3' ), 'sk_c4' ) ] )
% 8.03/8.41 , 0, clause( 13560, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 8.03/8.41 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 8.03/8.41 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13589, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ),
% 8.03/8.41 =( inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 8.03/8.41 , clause( 13569, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c4' )
% 8.03/8.41 , =( 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 8.03/8.41 , 2, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 factor(
% 8.03/8.41 clause( 13712, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 8.03/8.41 )
% 8.03/8.41 , clause( 13589, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' )
% 8.03/8.41 , =( inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 8.03/8.41 , 0, 2, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 253, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 8.03/8.41 )
% 8.03/8.41 , clause( 13712, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' )
% 8.03/8.41 ] )
% 8.03/8.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.03/8.41 ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13714, [ =( 'sk_c6', identity ), =( inverse( 'sk_c3' ), 'sk_c4' ) ]
% 8.03/8.41 )
% 8.03/8.41 , clause( 253, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( identity, 'sk_c6' ) ]
% 8.03/8.41 )
% 8.03/8.41 , 1, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13716, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 8.03/8.41 , clause( 216, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13722, [ =( identity, multiply( 'sk_c3', 'sk_c4' ) ), =( 'sk_c6',
% 8.03/8.41 identity ) ] )
% 8.03/8.41 , clause( 13714, [ =( 'sk_c6', identity ), =( inverse( 'sk_c3' ), 'sk_c4' )
% 8.03/8.41 ] )
% 8.03/8.41 , 1, clause( 13716, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 8.03/8.41 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13738, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =( 'sk_c6'
% 8.03/8.41 , identity ) ] )
% 8.03/8.41 , clause( 243, [ =( multiply( 'sk_c3', 'sk_c4' ), 'sk_c6' ), =( identity,
% 8.03/8.41 'sk_c6' ) ] )
% 8.03/8.41 , 0, clause( 13722, [ =( identity, multiply( 'sk_c3', 'sk_c4' ) ), =(
% 8.03/8.41 'sk_c6', identity ) ] )
% 8.03/8.41 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13757, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 8.03/8.41 identity, 'sk_c6' ) ] )
% 8.03/8.41 , clause( 13738, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 8.03/8.41 'sk_c6', identity ) ] )
% 8.03/8.41 , 2, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 factor(
% 8.03/8.41 clause( 13823, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 8.03/8.41 , clause( 13757, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 8.03/8.41 identity, 'sk_c6' ) ] )
% 8.03/8.41 , 0, 1, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 265, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 8.03/8.41 , clause( 13823, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 8.03/8.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 8.03/8.41 ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 factor(
% 8.03/8.41 clause( 13825, [ =( identity, 'sk_c6' ) ] )
% 8.03/8.41 , clause( 265, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 8.03/8.41 , 0, 1, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 269, [ =( identity, 'sk_c6' ) ] )
% 8.03/8.41 , clause( 13825, [ =( identity, 'sk_c6' ) ] )
% 8.03/8.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13827, [ =( X, multiply( X, identity ) ) ] )
% 8.03/8.41 , clause( 196, [ =( multiply( X, identity ), X ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13828, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 8.03/8.41 , clause( 269, [ =( identity, 'sk_c6' ) ] )
% 8.03/8.41 , 0, clause( 13827, [ =( X, multiply( X, identity ) ) ] )
% 8.03/8.41 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13829, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 8.03/8.41 , clause( 13828, [ =( X, multiply( X, 'sk_c6' ) ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 270, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 8.03/8.41 , clause( 13829, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 8.03/8.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13831, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 8.03/8.41 , clause( 171, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13833, [ =( X, multiply( inverse( inverse( 'sk_c6' ) ), X ) ) ] )
% 8.03/8.41 , clause( 269, [ =( identity, 'sk_c6' ) ] )
% 8.03/8.41 , 0, clause( 13831, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 8.03/8.41 ] )
% 8.03/8.41 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13834, [ =( X, multiply( 'sk_c6', X ) ) ] )
% 8.03/8.41 , clause( 177, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 8.03/8.41 ) ) ] )
% 8.03/8.41 , 0, clause( 13833, [ =( X, multiply( inverse( inverse( 'sk_c6' ) ), X ) )
% 8.03/8.41 ] )
% 8.03/8.41 , 0, 2, substitution( 0, [ :=( X, 'sk_c6' ), :=( Y, X )] ), substitution( 1
% 8.03/8.41 , [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13835, [ =( multiply( 'sk_c6', X ), X ) ] )
% 8.03/8.41 , clause( 13834, [ =( X, multiply( 'sk_c6', X ) ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 subsumption(
% 8.03/8.41 clause( 272, [ =( multiply( 'sk_c6', X ), X ) ] )
% 8.03/8.41 , clause( 13835, [ =( multiply( 'sk_c6', X ), X ) ] )
% 8.03/8.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13836, [ =( X, multiply( 'sk_c6', X ) ) ] )
% 8.03/8.41 , clause( 272, [ =( multiply( 'sk_c6', X ), X ) ] )
% 8.03/8.41 , 0, substitution( 0, [ :=( X, X )] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 eqswap(
% 8.03/8.41 clause( 13837, [ =( 'sk_c7', multiply( 'sk_c6', 'sk_c5' ) ), =( multiply(
% 8.03/8.41 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 8.03/8.41 , clause( 3, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c7' ), =( multiply(
% 8.03/8.41 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 8.03/8.41 , 0, substitution( 0, [] )).
% 8.03/8.41
% 8.03/8.41
% 8.03/8.41 paramod(
% 8.03/8.41 clause( 13841, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c6',
% 8.03/8.41 'sk_c5' ) ) ] )
% 8.03/8.41 , clause( 13837, [ =( 'sk_c7', multiply( 'sk_c6', 'sk_c5' ) ), =( multiply(
% 8.03/8.41 'sk_c6', 'sk_c7' ), 'sk_c5' ) ] )
% 8.03/8.41 , 1, clause( 13836, [ =( X, multiply( 'sk_c6', X ) ) ] )
% 8.06/8.42 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c7' )] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 paramod(
% 8.06/8.42 clause( 13842, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , clause( 272, [ =( multiply( 'sk_c6', X ), X ) ] )
% 8.06/8.42 , 0, clause( 13841, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', multiply( 'sk_c6'
% 8.06/8.42 , 'sk_c5' ) ) ] )
% 8.06/8.42 , 1, 2, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 subsumption(
% 8.06/8.42 clause( 288, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , clause( 13842, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 8.06/8.42 ).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 factor(
% 8.06/8.42 clause( 13844, [ =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , clause( 288, [ =( 'sk_c7', 'sk_c5' ), =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , 0, 1, substitution( 0, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 subsumption(
% 8.06/8.42 clause( 289, [ =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , clause( 13844, [ =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 eqswap(
% 8.06/8.42 clause( 13846, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =( multiply(
% 8.06/8.42 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 8.06/8.42 , clause( 23, [ =( multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 8.06/8.42 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 8.06/8.42 , 0, substitution( 0, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 paramod(
% 8.06/8.42 clause( 13851, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( 'sk_c6',
% 8.06/8.42 multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 8.06/8.42 , clause( 289, [ =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , 0, clause( 13846, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ), =(
% 8.06/8.42 multiply( 'sk_c2', 'sk_c6' ), 'sk_c7' ) ] )
% 8.06/8.42 , 1, 4, substitution( 0, [] ), substitution( 1, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 paramod(
% 8.06/8.42 clause( 13852, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( multiply(
% 8.06/8.42 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 8.06/8.42 , clause( 289, [ =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , 0, clause( 13851, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =(
% 8.06/8.42 'sk_c6', multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 8.06/8.42 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 paramod(
% 8.06/8.42 clause( 13857, [ =( 'sk_c2', 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c5',
% 8.06/8.42 'sk_c5' ) ) ] )
% 8.06/8.42 , clause( 270, [ =( multiply( X, 'sk_c6' ), X ) ] )
% 8.06/8.42 , 0, clause( 13852, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =(
% 8.06/8.42 multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 8.06/8.42 , 1, 1, substitution( 0, [ :=( X, 'sk_c2' )] ), substitution( 1, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 eqswap(
% 8.06/8.42 clause( 13859, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 8.06/8.42 'sk_c5' ) ] )
% 8.06/8.42 , clause( 13857, [ =( 'sk_c2', 'sk_c5' ), =( 'sk_c6', multiply( 'sk_c5',
% 8.06/8.42 'sk_c5' ) ) ] )
% 8.06/8.42 , 1, substitution( 0, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 subsumption(
% 8.06/8.42 clause( 292, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 8.06/8.42 'sk_c5' ) ] )
% 8.06/8.42 , clause( 13859, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 8.06/8.42 'sk_c5' ) ] )
% 8.06/8.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.06/8.42 ).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 eqswap(
% 8.06/8.42 clause( 13862, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =( multiply(
% 8.06/8.42 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 8.06/8.42 , clause( 51, [ =( multiply( 'sk_c7', 'sk_c2' ), identity ), =( multiply(
% 8.06/8.42 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 8.06/8.42 , 0, substitution( 0, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 eqswap(
% 8.06/8.42 clause( 13865, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c2',
% 8.06/8.42 'sk_c5' ) ] )
% 8.06/8.42 , clause( 292, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c2',
% 8.06/8.42 'sk_c5' ) ] )
% 8.06/8.42 , 0, substitution( 0, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 paramod(
% 8.06/8.42 clause( 13870, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( identity,
% 8.06/8.42 multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 8.06/8.42 , clause( 289, [ =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , 0, clause( 13862, [ =( identity, multiply( 'sk_c7', 'sk_c2' ) ), =(
% 8.06/8.42 multiply( 'sk_c7', 'sk_c5' ), 'sk_c6' ) ] )
% 8.06/8.42 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 paramod(
% 8.06/8.42 clause( 13871, [ =( identity, multiply( 'sk_c5', 'sk_c2' ) ), =( multiply(
% 8.06/8.42 'sk_c5', 'sk_c5' ), 'sk_c6' ) ] )
% 8.06/8.42 , clause( 289, [ =( 'sk_c7', 'sk_c5' ) ] )
% 8.06/8.42 , 0, clause( 13870, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =(
% 8.06/8.42 identity, multiply( 'sk_c7', 'sk_c2' ) ) ] )
% 8.06/8.42 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 8.06/8.42
% 8.06/8.42
% 8.06/8.42 paramod(
% 8.06/8.42 clause( 14600, [ =( identity, multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c6',
% 8.06/8.42 multiply( 'sk_c5', 'sk_c5' ) ), =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6'
% 8.06/8.42 ) ] )
% 8.06/8.42 , clause( 13865, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c5' ) ), =( 'sk_c2',
% 8.06/8.42 'sk_c5' )Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------