TSTP Solution File: GRP300-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP300-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 07:36:26 EDT 2022
% Result : Unsatisfiable 0.69s 1.15s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP300-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 17:58:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/1.15 *** allocated 10000 integers for termspace/termends
% 0.69/1.15 *** allocated 10000 integers for clauses
% 0.69/1.15 *** allocated 10000 integers for justifications
% 0.69/1.15 Bliksem 1.12
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 Automatic Strategy Selection
% 0.69/1.15
% 0.69/1.15 Clauses:
% 0.69/1.15 [
% 0.69/1.15 [ =( multiply( identity, X ), X ) ],
% 0.69/1.15 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.69/1.15 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.69/1.15 ],
% 0.69/1.15 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( multiply( 'sk_c5',
% 0.69/1.15 'sk_c4' ), 'sk_c6' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( multiply( 'sk_c2',
% 0.69/1.15 'sk_c6' ), 'sk_c5' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( inverse( 'sk_c2' ),
% 0.69/1.15 'sk_c6' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( inverse( 'sk_c6' ),
% 0.69/1.15 'sk_c4' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( multiply( 'sk_c3',
% 0.69/1.15 'sk_c4' ), 'sk_c5' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( inverse( 'sk_c3' ),
% 0.69/1.15 'sk_c4' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 0.69/1.15 'sk_c4' ), 'sk_c6' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c2',
% 0.69/1.15 'sk_c6' ), 'sk_c5' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 0.69/1.15 'sk_c6' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c6' ),
% 0.69/1.15 'sk_c4' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 0.69/1.15 'sk_c4' ), 'sk_c5' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 0.69/1.15 'sk_c4' ) ],
% 0.69/1.15 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5', 'sk_c4' ),
% 0.69/1.15 'sk_c6' ) ],
% 0.69/1.15 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c2', 'sk_c6' ),
% 0.69/1.15 'sk_c5' ) ],
% 0.69/1.15 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ), 'sk_c6' ) ]
% 0.69/1.15 ,
% 0.69/1.15 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c6' ), 'sk_c4' ) ]
% 0.69/1.15 ,
% 0.69/1.15 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3', 'sk_c4' ),
% 0.69/1.15 'sk_c5' ) ],
% 0.69/1.15 [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ), 'sk_c4' ) ]
% 0.69/1.15 ,
% 0.69/1.15 [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c5',
% 0.69/1.15 'sk_c4' ), 'sk_c6' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c2',
% 0.69/1.15 'sk_c6' ), 'sk_c5' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c2' ),
% 0.69/1.15 'sk_c6' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c6' ),
% 0.69/1.15 'sk_c4' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c3',
% 0.69/1.15 'sk_c4' ), 'sk_c5' ) ],
% 0.69/1.15 [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c3' ),
% 0.69/1.15 'sk_c4' ) ],
% 0.69/1.15 [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =( multiply( X,
% 0.69/1.15 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~( =( multiply(
% 0.69/1.15 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5', 'sk_c4' ),
% 0.69/1.15 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y
% 0.69/1.15 ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =( multiply( Z
% 0.69/1.15 , 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c4' ) ) ]
% 0.69/1.15 ] .
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 percentage equality = 1.000000, percentage horn = 0.142857
% 0.69/1.15 This is a pure equality problem
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 Options Used:
% 0.69/1.15
% 0.69/1.15 useres = 1
% 0.69/1.15 useparamod = 1
% 0.69/1.15 useeqrefl = 1
% 0.69/1.15 useeqfact = 1
% 0.69/1.15 usefactor = 1
% 0.69/1.15 usesimpsplitting = 0
% 0.69/1.15 usesimpdemod = 5
% 0.69/1.15 usesimpres = 3
% 0.69/1.15
% 0.69/1.15 resimpinuse = 1000
% 0.69/1.15 resimpclauses = 20000
% 0.69/1.15 substype = eqrewr
% 0.69/1.15 backwardsubs = 1
% 0.69/1.15 selectoldest = 5
% 0.69/1.15
% 0.69/1.15 litorderings [0] = split
% 0.69/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.15
% 0.69/1.15 termordering = kbo
% 0.69/1.15
% 0.69/1.15 litapriori = 0
% 0.69/1.15 termapriori = 1
% 0.69/1.15 litaposteriori = 0
% 0.69/1.15 termaposteriori = 0
% 0.69/1.15 demodaposteriori = 0
% 0.69/1.15 ordereqreflfact = 0
% 0.69/1.15
% 0.69/1.15 litselect = negord
% 0.69/1.15
% 0.69/1.15 maxweight = 15
% 0.69/1.15 maxdepth = 30000
% 0.69/1.15 maxlength = 115
% 0.69/1.15 maxnrvars = 195
% 0.69/1.15 excuselevel = 1
% 0.69/1.15 increasemaxweight = 1
% 0.69/1.15
% 0.69/1.15 maxselected = 10000000
% 0.69/1.15 maxnrclauses = 10000000
% 0.69/1.15
% 0.69/1.15 showgenerated = 0
% 0.69/1.15 showkept = 0
% 0.69/1.15 showselected = 0
% 0.69/1.15 showdeleted = 0
% 0.69/1.15 showresimp = 1
% 0.69/1.15 showstatus = 2000
% 0.69/1.15
% 0.69/1.15 prologoutput = 1
% 0.69/1.15 nrgoals = 5000000
% 0.69/1.15 totalproof = 1
% 0.69/1.15
% 0.69/1.15 Symbols occurring in the translation:
% 0.69/1.15
% 0.69/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.15 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.69/1.15 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.69/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.15 identity [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.69/1.15 multiply [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.69/1.15 inverse [42, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.69/1.15 'sk_c6' [45, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.69/1.15 'sk_c5' [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.69/1.15 'sk_c4' [47, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.69/1.15 'sk_c2' [48, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.69/1.15 'sk_c3' [49, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.69/1.15 'sk_c1' [50, 0] (w:1, o:9, a:1, s:1, b:0).
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 Starting Search:
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 Bliksems!, er is een bewijs:
% 0.69/1.15 % SZS status Unsatisfiable
% 0.69/1.15 % SZS output start Refutation
% 0.69/1.15
% 0.69/1.15 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.69/1.15 , Z ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 3, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( multiply(
% 0.69/1.15 'sk_c5', 'sk_c4' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 12, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c6' ), 'sk_c4' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 0.69/1.15 'sk_c4' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.69/1.15 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c6' ),
% 0.69/1.15 'sk_c4' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 19, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.69/1.15 'sk_c4' ), 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 20, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.69/1.15 'sk_c4' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 21, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c5', 'sk_c4' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 22, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 23, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c2' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 24, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c6' ), 'sk_c4' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 25, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 26, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c3' ), 'sk_c4' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 27, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 0.69/1.15 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 0.69/1.15 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 0.69/1.15 'sk_c4' ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.69/1.15 inverse( Y ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 0.69/1.15 multiply( Z, 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c4' ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 29, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 0.69/1.15 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 0.69/1.15 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 0.69/1.15 'sk_c4' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 0.69/1.15 multiply( Y, 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c4' ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 31, [ =( multiply( 'sk_c4', 'sk_c3' ), identity ), =( inverse(
% 0.69/1.15 'sk_c1' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 33, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( inverse(
% 0.69/1.15 'sk_c1' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 36, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.69/1.15 , identity ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 37, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.69/1.15 identity ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 38, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.69/1.15 ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 53, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 0.69/1.15 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 54, [ ~( =( identity, 'sk_c5' ) ), =( multiply( 'sk_c4', 'sk_c6' )
% 0.69/1.15 , 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 55, [ ~( =( identity, 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 58, [ =( multiply( 'sk_c5', X ), X ), ~( =( identity, 'sk_c5' ) ) ]
% 0.69/1.15 )
% 0.69/1.15 .
% 0.69/1.15 clause( 70, [ =( 'sk_c6', 'sk_c4' ), ~( =( identity, 'sk_c5' ) ), =(
% 0.69/1.15 inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 78, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 0.69/1.15 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 83, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 86, [ =( multiply( inverse( 'sk_c5' ), X ), X ), ~( =( identity,
% 0.69/1.15 'sk_c5' ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 87, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.69/1.15 multiply( Y, X ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 137, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 147, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.69/1.15 ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 157, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c4', identity ), 'sk_c2' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 158, [ ~( =( identity, 'sk_c5' ) ), =( multiply( X, 'sk_c5' ), X )
% 0.69/1.15 ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 159, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ), =(
% 0.69/1.15 multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 160, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c6',
% 0.69/1.15 'sk_c3' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 168, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.69/1.15 identity ), 'sk_c2' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 170, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ), =(
% 0.69/1.15 inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 171, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c1' ), =(
% 0.69/1.15 inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 172, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( 'sk_c6', 'sk_c3' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 175, [ =( 'sk_c4', 'sk_c3' ), ~( =( identity, 'sk_c5' ) ), =(
% 0.69/1.15 inverse( 'sk_c1' ), 'sk_c3' ), =( inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 176, [ =( 'sk_c4', 'sk_c3' ), ~( =( identity, 'sk_c5' ) ), =(
% 0.69/1.15 inverse( 'sk_c1' ), 'sk_c6' ), =( 'sk_c4', 'sk_c3' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 191, [ =( 'sk_c4', 'sk_c3' ), ~( =( identity, 'sk_c5' ) ), =(
% 0.69/1.15 inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 200, [ =( 'sk_c6', 'sk_c4' ), ~( =( identity, 'sk_c5' ) ), =(
% 0.69/1.15 'sk_c6', 'sk_c4' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 201, [ =( 'sk_c6', 'sk_c4' ), ~( =( identity, 'sk_c5' ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 208, [ =( multiply( 'sk_c4', 'sk_c4' ), 'sk_c5' ), ~( =( identity,
% 0.69/1.15 'sk_c5' ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 280, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 0.69/1.15 identity ), identity ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 288, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5', X )
% 0.69/1.15 , X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 294, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( 'sk_c4', 'sk_c3' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 299, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c1' ), =(
% 0.69/1.15 'sk_c4', 'sk_c3' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 301, [ =( multiply( 'sk_c3', 'sk_c3' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c1' ), 'sk_c6' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 305, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 0.69/1.15 )
% 0.69/1.15 .
% 0.69/1.15 clause( 309, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c1' ), 'sk_c3' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 348, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c2',
% 0.69/1.15 'sk_c1' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 354, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( identity,
% 0.69/1.15 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 439, [ =( multiply( X, identity ), X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 453, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 456, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 458, [ =( inverse( 'sk_c6' ), 'sk_c1' ), =( 'sk_c4', 'sk_c3' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 481, [ =( identity, 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 482, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 484, [ =( multiply( 'sk_c4', 'sk_c4' ), 'sk_c5' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 485, [ =( 'sk_c6', 'sk_c4' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 486, [ =( multiply( X, 'sk_c5' ), X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 487, [ =( multiply( 'sk_c5', X ), X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 504, [ ~( =( inverse( 'sk_c4' ), 'sk_c4' ) ), ~( =( multiply( X,
% 0.69/1.15 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c4' ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 506, [ ~( =( inverse( 'sk_c4' ), 'sk_c4' ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 507, [ =( inverse( 'sk_c4' ), 'sk_c1' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 511, [ ~( =( 'sk_c1', 'sk_c4' ) ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 512, [ =( inverse( 'sk_c1' ), 'sk_c4' ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 514, [ =( multiply( multiply( X, 'sk_c4' ), 'sk_c1' ), X ) ] )
% 0.69/1.15 .
% 0.69/1.15 clause( 515, [] )
% 0.69/1.15 .
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 % SZS output end Refutation
% 0.69/1.15 found a proof!
% 0.69/1.15
% 0.69/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.15
% 0.69/1.15 initialclauses(
% 0.69/1.15 [ clause( 517, [ =( multiply( identity, X ), X ) ] )
% 0.69/1.15 , clause( 518, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.69/1.15 , clause( 519, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.69/1.15 Y, Z ) ) ) ] )
% 0.69/1.15 , clause( 520, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( multiply(
% 0.69/1.15 'sk_c5', 'sk_c4' ), 'sk_c6' ) ] )
% 0.69/1.15 , clause( 521, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( multiply(
% 0.69/1.15 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 0.69/1.15 , clause( 522, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( inverse(
% 0.69/1.15 'sk_c2' ), 'sk_c6' ) ] )
% 0.69/1.15 , clause( 523, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( inverse(
% 0.69/1.15 'sk_c6' ), 'sk_c4' ) ] )
% 0.69/1.15 , clause( 524, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( multiply(
% 0.69/1.15 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 0.69/1.15 , clause( 525, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( inverse(
% 0.69/1.15 'sk_c3' ), 'sk_c4' ) ] )
% 0.69/1.15 , clause( 526, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c5', 'sk_c4' ), 'sk_c6' ) ] )
% 0.69/1.15 , clause( 527, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 0.69/1.15 , clause( 528, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c2' ), 'sk_c6' ) ] )
% 0.69/1.15 , clause( 529, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c6' ), 'sk_c4' ) ] )
% 0.69/1.15 , clause( 530, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 0.69/1.15 , clause( 531, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c3' ), 'sk_c4' ) ] )
% 0.69/1.15 , clause( 532, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 0.69/1.15 'sk_c4' ), 'sk_c6' ) ] )
% 0.69/1.15 , clause( 533, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c2',
% 0.69/1.15 'sk_c6' ), 'sk_c5' ) ] )
% 0.69/1.15 , clause( 534, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.69/1.15 'sk_c6' ) ] )
% 0.69/1.15 , clause( 535, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c6' ),
% 0.69/1.15 'sk_c4' ) ] )
% 0.69/1.15 , clause( 536, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.69/1.15 'sk_c4' ), 'sk_c5' ) ] )
% 0.69/1.15 , clause( 537, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.69/1.15 'sk_c4' ) ] )
% 0.69/1.15 , clause( 538, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c5', 'sk_c4' ), 'sk_c6' ) ] )
% 0.69/1.15 , clause( 539, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 0.69/1.15 , clause( 540, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c2' ), 'sk_c6' ) ] )
% 0.69/1.15 , clause( 541, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c6' ), 'sk_c4' ) ] )
% 0.69/1.15 , clause( 542, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.69/1.15 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 0.69/1.15 , clause( 543, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.69/1.15 'sk_c3' ), 'sk_c4' ) ] )
% 0.69/1.15 , clause( 544, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 0.69/1.15 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 0.69/1.15 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 0.69/1.15 'sk_c4' ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.69/1.15 inverse( Y ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 0.69/1.15 multiply( Z, 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c4' ) ) ] )
% 0.69/1.15 ] ).
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 subsumption(
% 0.69/1.15 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.69/1.15 , clause( 517, [ =( multiply( identity, X ), X ) ] )
% 0.69/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 subsumption(
% 0.69/1.15 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.69/1.15 , clause( 518, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.69/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 eqswap(
% 0.69/1.15 clause( 550, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.69/1.15 ), Z ) ) ] )
% 0.69/1.15 , clause( 519, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.69/1.15 Y, Z ) ) ) ] )
% 0.69/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 subsumption(
% 0.69/1.15 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.69/1.15 , Z ) ) ] )
% 0.69/1.15 , clause( 550, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.69/1.15 , Y ), Z ) ) ] )
% 0.69/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 subsumption(
% 0.69/1.15 clause( 3, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( multiply(
% 0.69/1.15 'sk_c5', 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.19 , clause( 520, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ), =( multiply(
% 0.82/1.19 'sk_c5', 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 12, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.19 'sk_c6' ), 'sk_c4' ) ] )
% 0.82/1.19 , clause( 529, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.19 'sk_c6' ), 'sk_c4' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 0.82/1.19 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.19 , clause( 532, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 0.82/1.19 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.82/1.19 'sk_c6' ) ] )
% 0.82/1.19 , clause( 534, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 0.82/1.19 'sk_c6' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c6' ),
% 0.82/1.19 'sk_c4' ) ] )
% 0.82/1.19 , clause( 535, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c6' ),
% 0.82/1.19 'sk_c4' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 19, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.82/1.19 'sk_c4' ), 'sk_c5' ) ] )
% 0.82/1.19 , clause( 536, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c3',
% 0.82/1.19 'sk_c4' ), 'sk_c5' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 20, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.82/1.19 'sk_c4' ) ] )
% 0.82/1.19 , clause( 537, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 0.82/1.19 'sk_c4' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 21, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.19 'sk_c5', 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.19 , clause( 538, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.19 'sk_c5', 'sk_c4' ), 'sk_c6' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 22, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.19 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 0.82/1.19 , clause( 539, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.19 'sk_c2', 'sk_c6' ), 'sk_c5' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 23, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.19 'sk_c2' ), 'sk_c6' ) ] )
% 0.82/1.19 , clause( 540, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.19 'sk_c2' ), 'sk_c6' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 24, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.19 'sk_c6' ), 'sk_c4' ) ] )
% 0.82/1.19 , clause( 541, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.19 'sk_c6' ), 'sk_c4' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 25, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.19 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 0.82/1.19 , clause( 542, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 0.82/1.19 'sk_c3', 'sk_c4' ), 'sk_c5' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 26, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.19 'sk_c3' ), 'sk_c4' ) ] )
% 0.82/1.19 , clause( 543, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 0.82/1.19 'sk_c3' ), 'sk_c4' ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 27, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 0.82/1.19 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 0.82/1.19 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 0.82/1.19 'sk_c4' ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 0.82/1.19 inverse( Y ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 0.82/1.19 multiply( Z, 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c4' ) ) ] )
% 1.03/1.40 , clause( 544, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 1.03/1.40 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 1.03/1.40 inverse( Y ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( Z, 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c4' ) ) ] )
% 1.03/1.40 , substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Z )] ),
% 1.03/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 1.03/1.40 ==>( 4, 4 ), ==>( 5, 1 ), ==>( 6, 2 ), ==>( 7, 7 ), ==>( 8, 8 ), ==>( 9,
% 1.03/1.40 9 )] ) ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 factor(
% 1.03/1.40 clause( 2094, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 1.03/1.40 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~( =( inverse(
% 1.03/1.40 'sk_c6' ), 'sk_c4' ) ), ~( =( multiply( Y, 'sk_c4' ), 'sk_c5' ) ), ~( =(
% 1.03/1.40 inverse( Y ), 'sk_c4' ) ) ] )
% 1.03/1.40 , clause( 27, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 1.03/1.40 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 1.03/1.40 inverse( Y ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( Z, 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Z ), 'sk_c4' ) ) ] )
% 1.03/1.40 , 1, 5, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 factor(
% 1.03/1.40 clause( 2096, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 1.03/1.40 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( Y, 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c4' ) ) ] )
% 1.03/1.40 , clause( 2094, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 1.03/1.40 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~( =( inverse(
% 1.03/1.40 'sk_c6' ), 'sk_c4' ) ), ~( =( multiply( Y, 'sk_c4' ), 'sk_c5' ) ), ~( =(
% 1.03/1.40 inverse( Y ), 'sk_c4' ) ) ] )
% 1.03/1.40 , 2, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 29, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 1.03/1.40 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( Y, 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c4' ) ) ] )
% 1.03/1.40 , clause( 2096, [ ~( =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( X, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( X ), 'sk_c6' ) ), ~(
% 1.03/1.40 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ), ~( =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c6' ), 'sk_c4' ) ), ~( =(
% 1.03/1.40 multiply( Y, 'sk_c4' ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c4' ) ) ] )
% 1.03/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.40 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 ),
% 1.03/1.40 ==>( 6, 6 ), ==>( 7, 7 )] ) ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2628, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c3' ),
% 1.03/1.40 'sk_c4' ) ] )
% 1.03/1.40 , clause( 20, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.03/1.40 'sk_c4' ) ] )
% 1.03/1.40 , 0, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2631, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.03/1.40 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2632, [ =( identity, multiply( 'sk_c4', 'sk_c3' ) ), =( 'sk_c6',
% 1.03/1.40 inverse( 'sk_c1' ) ) ] )
% 1.03/1.40 , clause( 2628, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c3' ),
% 1.03/1.40 'sk_c4' ) ] )
% 1.03/1.40 , 1, clause( 2631, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.03/1.40 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2634, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( identity, multiply(
% 1.03/1.40 'sk_c4', 'sk_c3' ) ) ] )
% 1.03/1.40 , clause( 2632, [ =( identity, multiply( 'sk_c4', 'sk_c3' ) ), =( 'sk_c6',
% 1.03/1.40 inverse( 'sk_c1' ) ) ] )
% 1.03/1.40 , 1, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2635, [ =( multiply( 'sk_c4', 'sk_c3' ), identity ), =( inverse(
% 1.03/1.40 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.40 , clause( 2634, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( identity, multiply(
% 1.03/1.40 'sk_c4', 'sk_c3' ) ) ] )
% 1.03/1.40 , 1, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 31, [ =( multiply( 'sk_c4', 'sk_c3' ), identity ), =( inverse(
% 1.03/1.40 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.40 , clause( 2635, [ =( multiply( 'sk_c4', 'sk_c3' ), identity ), =( inverse(
% 1.03/1.40 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.03/1.40 ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2636, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c6' ),
% 1.03/1.40 'sk_c4' ) ] )
% 1.03/1.40 , clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c6' ),
% 1.03/1.40 'sk_c4' ) ] )
% 1.03/1.40 , 0, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2639, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.03/1.40 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2640, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c6',
% 1.03/1.40 inverse( 'sk_c1' ) ) ] )
% 1.03/1.40 , clause( 2636, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c6' ),
% 1.03/1.40 'sk_c4' ) ] )
% 1.03/1.40 , 1, clause( 2639, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.03/1.40 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c6' )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2642, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( identity, multiply(
% 1.03/1.40 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.40 , clause( 2640, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c6',
% 1.03/1.40 inverse( 'sk_c1' ) ) ] )
% 1.03/1.40 , 1, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2643, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( inverse(
% 1.03/1.40 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.40 , clause( 2642, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( identity, multiply(
% 1.03/1.40 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.40 , 1, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 33, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( inverse(
% 1.03/1.40 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.40 , clause( 2643, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( inverse(
% 1.03/1.40 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.03/1.40 ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2644, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.03/1.40 Y, Z ) ) ) ] )
% 1.03/1.40 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.03/1.40 ), Z ) ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2647, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 1.03/1.40 ), identity ) ] )
% 1.03/1.40 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.03/1.40 , 0, clause( 2644, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 1.03/1.40 multiply( Y, Z ) ) ) ] )
% 1.03/1.40 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 1.03/1.40 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 36, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 1.03/1.40 , identity ) ] )
% 1.03/1.40 , clause( 2647, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 1.03/1.40 Y ), identity ) ] )
% 1.03/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.40 )] ) ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2653, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.03/1.40 Y, Z ) ) ) ] )
% 1.03/1.40 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.03/1.40 ), Z ) ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2658, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 1.03/1.40 , identity ) ) ] )
% 1.03/1.40 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.03/1.40 , 0, clause( 2653, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 1.03/1.40 multiply( Y, Z ) ) ) ] )
% 1.03/1.40 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.40 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 37, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 1.03/1.40 identity ) ) ] )
% 1.03/1.40 , clause( 2658, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 1.03/1.40 X, identity ) ) ] )
% 1.03/1.40 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.40 )] ) ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2663, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.03/1.40 Y, Z ) ) ) ] )
% 1.03/1.40 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.03/1.40 ), Z ) ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2668, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 1.03/1.40 ) ] )
% 1.03/1.40 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.03/1.40 , 0, clause( 2663, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 1.03/1.40 multiply( Y, Z ) ) ) ] )
% 1.03/1.40 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.40 :=( Y, identity ), :=( Z, Y )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 38, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 1.03/1.40 ] )
% 1.03/1.40 , clause( 2668, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 1.03/1.40 ) ) ] )
% 1.03/1.40 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.40 )] ) ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2673, [ =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 1.03/1.40 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.40 , clause( 24, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.03/1.40 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.40 , 0, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2676, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.03/1.40 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2677, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c5',
% 1.03/1.40 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.40 , clause( 2673, [ =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 1.03/1.40 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.40 , 1, clause( 2676, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.03/1.40 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c6' )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2679, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( identity,
% 1.03/1.40 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.40 , clause( 2677, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c5',
% 1.03/1.40 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.40 , 1, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2680, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 1.03/1.40 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , clause( 2679, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( identity,
% 1.03/1.40 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.40 , 1, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 53, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 1.03/1.40 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , clause( 2680, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 1.03/1.40 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.03/1.40 ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqfact(
% 1.03/1.40 clause( 2684, [ ~( =( identity, 'sk_c5' ) ), =( multiply( 'sk_c4', 'sk_c6'
% 1.03/1.40 ), 'sk_c5' ) ] )
% 1.03/1.40 , clause( 53, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 1.03/1.40 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , 0, 1, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 54, [ ~( =( identity, 'sk_c5' ) ), =( multiply( 'sk_c4', 'sk_c6' )
% 1.03/1.40 , 'sk_c5' ) ] )
% 1.03/1.40 , clause( 2684, [ ~( =( identity, 'sk_c5' ) ), =( multiply( 'sk_c4',
% 1.03/1.40 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.03/1.40 ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2695, [ ~( =( 'sk_c5', identity ) ), =( multiply( 'sk_c4', 'sk_c6'
% 1.03/1.40 ), 'sk_c5' ) ] )
% 1.03/1.40 , clause( 54, [ ~( =( identity, 'sk_c5' ) ), =( multiply( 'sk_c4', 'sk_c6'
% 1.03/1.40 ), 'sk_c5' ) ] )
% 1.03/1.40 , 0, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqfact(
% 1.03/1.40 clause( 2699, [ ~( =( 'sk_c5', identity ) ), =( multiply( 'sk_c4', 'sk_c6'
% 1.03/1.40 ), identity ) ] )
% 1.03/1.40 , clause( 53, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 1.03/1.40 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , 1, 0, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2712, [ =( 'sk_c5', identity ), ~( =( 'sk_c5', identity ) ), ~( =(
% 1.03/1.40 'sk_c5', identity ) ) ] )
% 1.03/1.40 , clause( 2695, [ ~( =( 'sk_c5', identity ) ), =( multiply( 'sk_c4',
% 1.03/1.40 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , 1, clause( 2699, [ ~( =( 'sk_c5', identity ) ), =( multiply( 'sk_c4',
% 1.03/1.40 'sk_c6' ), identity ) ] )
% 1.03/1.40 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2715, [ ~( =( identity, 'sk_c5' ) ), =( 'sk_c5', identity ), ~( =(
% 1.03/1.40 'sk_c5', identity ) ) ] )
% 1.03/1.40 , clause( 2712, [ =( 'sk_c5', identity ), ~( =( 'sk_c5', identity ) ), ~(
% 1.03/1.40 =( 'sk_c5', identity ) ) ] )
% 1.03/1.40 , 2, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2717, [ ~( =( identity, 'sk_c5' ) ), ~( =( identity, 'sk_c5' ) ),
% 1.03/1.40 =( 'sk_c5', identity ) ] )
% 1.03/1.40 , clause( 2715, [ ~( =( identity, 'sk_c5' ) ), =( 'sk_c5', identity ), ~(
% 1.03/1.40 =( 'sk_c5', identity ) ) ] )
% 1.03/1.40 , 2, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2718, [ =( identity, 'sk_c5' ), ~( =( identity, 'sk_c5' ) ), ~( =(
% 1.03/1.40 identity, 'sk_c5' ) ) ] )
% 1.03/1.40 , clause( 2717, [ ~( =( identity, 'sk_c5' ) ), ~( =( identity, 'sk_c5' ) )
% 1.03/1.40 , =( 'sk_c5', identity ) ] )
% 1.03/1.40 , 2, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 factor(
% 1.03/1.40 clause( 2721, [ =( identity, 'sk_c5' ), ~( =( identity, 'sk_c5' ) ) ] )
% 1.03/1.40 , clause( 2718, [ =( identity, 'sk_c5' ), ~( =( identity, 'sk_c5' ) ), ~(
% 1.03/1.40 =( identity, 'sk_c5' ) ) ] )
% 1.03/1.40 , 1, 2, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 55, [ ~( =( identity, 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.40 , clause( 2721, [ =( identity, 'sk_c5' ), ~( =( identity, 'sk_c5' ) ) ] )
% 1.03/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.03/1.40 ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2724, [ ~( =( 'sk_c5', identity ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.40 , clause( 55, [ ~( =( identity, 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.40 , 0, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2727, [ =( X, multiply( identity, X ) ) ] )
% 1.03/1.40 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2728, [ =( X, multiply( 'sk_c5', X ) ), ~( =( 'sk_c5', identity ) )
% 1.03/1.40 ] )
% 1.03/1.40 , clause( 2724, [ ~( =( 'sk_c5', identity ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.40 , 1, clause( 2727, [ =( X, multiply( identity, X ) ) ] )
% 1.03/1.40 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2770, [ ~( =( identity, 'sk_c5' ) ), =( X, multiply( 'sk_c5', X ) )
% 1.03/1.40 ] )
% 1.03/1.40 , clause( 2728, [ =( X, multiply( 'sk_c5', X ) ), ~( =( 'sk_c5', identity )
% 1.03/1.40 ) ] )
% 1.03/1.40 , 1, substitution( 0, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2771, [ =( multiply( 'sk_c5', X ), X ), ~( =( identity, 'sk_c5' ) )
% 1.03/1.40 ] )
% 1.03/1.40 , clause( 2770, [ ~( =( identity, 'sk_c5' ) ), =( X, multiply( 'sk_c5', X )
% 1.03/1.40 ) ] )
% 1.03/1.40 , 1, substitution( 0, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 58, [ =( multiply( 'sk_c5', X ), X ), ~( =( identity, 'sk_c5' ) ) ]
% 1.03/1.40 )
% 1.03/1.40 , clause( 2771, [ =( multiply( 'sk_c5', X ), X ), ~( =( identity, 'sk_c5' )
% 1.03/1.40 ) ] )
% 1.03/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.03/1.40 1 )] ) ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2772, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ] )
% 1.03/1.40 , clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ] )
% 1.03/1.40 , 0, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2775, [ =( X, multiply( 'sk_c5', X ) ), ~( =( identity, 'sk_c5' ) )
% 1.03/1.40 ] )
% 1.03/1.40 , clause( 58, [ =( multiply( 'sk_c5', X ), X ), ~( =( identity, 'sk_c5' ) )
% 1.03/1.40 ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2778, [ =( 'sk_c4', 'sk_c6' ), =( 'sk_c6', inverse( 'sk_c1' ) ),
% 1.03/1.40 ~( =( identity, 'sk_c5' ) ) ] )
% 1.03/1.40 , clause( 2772, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( multiply( 'sk_c5',
% 1.03/1.40 'sk_c4' ), 'sk_c6' ) ] )
% 1.03/1.40 , 1, clause( 2775, [ =( X, multiply( 'sk_c5', X ) ), ~( =( identity,
% 1.03/1.40 'sk_c5' ) ) ] )
% 1.03/1.40 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2781, [ ~( =( 'sk_c5', identity ) ), =( 'sk_c4', 'sk_c6' ), =(
% 1.03/1.40 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.40 , clause( 2778, [ =( 'sk_c4', 'sk_c6' ), =( 'sk_c6', inverse( 'sk_c1' ) ),
% 1.03/1.40 ~( =( identity, 'sk_c5' ) ) ] )
% 1.03/1.40 , 2, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2783, [ =( inverse( 'sk_c1' ), 'sk_c6' ), ~( =( 'sk_c5', identity )
% 1.03/1.40 ), =( 'sk_c4', 'sk_c6' ) ] )
% 1.03/1.40 , clause( 2781, [ ~( =( 'sk_c5', identity ) ), =( 'sk_c4', 'sk_c6' ), =(
% 1.03/1.40 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.40 , 2, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2784, [ =( 'sk_c6', 'sk_c4' ), =( inverse( 'sk_c1' ), 'sk_c6' ),
% 1.03/1.40 ~( =( 'sk_c5', identity ) ) ] )
% 1.03/1.40 , clause( 2783, [ =( inverse( 'sk_c1' ), 'sk_c6' ), ~( =( 'sk_c5', identity
% 1.03/1.40 ) ), =( 'sk_c4', 'sk_c6' ) ] )
% 1.03/1.40 , 2, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2785, [ ~( =( identity, 'sk_c5' ) ), =( 'sk_c6', 'sk_c4' ), =(
% 1.03/1.40 inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.40 , clause( 2784, [ =( 'sk_c6', 'sk_c4' ), =( inverse( 'sk_c1' ), 'sk_c6' ),
% 1.03/1.40 ~( =( 'sk_c5', identity ) ) ] )
% 1.03/1.40 , 2, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 70, [ =( 'sk_c6', 'sk_c4' ), ~( =( identity, 'sk_c5' ) ), =(
% 1.03/1.40 inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.40 , clause( 2785, [ ~( =( identity, 'sk_c5' ) ), =( 'sk_c6', 'sk_c4' ), =(
% 1.03/1.40 inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 1.03/1.40 , 2 )] ) ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2786, [ =( 'sk_c5', multiply( 'sk_c1', 'sk_c6' ) ), =( inverse(
% 1.03/1.40 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.40 , clause( 12, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.03/1.40 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.40 , 0, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2789, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.03/1.40 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2790, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c5',
% 1.03/1.40 multiply( 'sk_c1', 'sk_c6' ) ) ] )
% 1.03/1.40 , clause( 2786, [ =( 'sk_c5', multiply( 'sk_c1', 'sk_c6' ) ), =( inverse(
% 1.03/1.40 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.40 , 1, clause( 2789, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.03/1.40 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c6' )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2792, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( identity,
% 1.03/1.40 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.40 , clause( 2790, [ =( identity, multiply( 'sk_c4', 'sk_c6' ) ), =( 'sk_c5',
% 1.03/1.40 multiply( 'sk_c1', 'sk_c6' ) ) ] )
% 1.03/1.40 , 1, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2793, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 1.03/1.40 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , clause( 2792, [ =( multiply( 'sk_c1', 'sk_c6' ), 'sk_c5' ), =( identity,
% 1.03/1.40 multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.40 , 1, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 78, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 1.03/1.40 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , clause( 2793, [ =( multiply( 'sk_c4', 'sk_c6' ), identity ), =( multiply(
% 1.03/1.40 'sk_c1', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.03/1.40 ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2795, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 1.03/1.40 ) ] )
% 1.03/1.40 , clause( 38, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 1.03/1.40 ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2798, [ =( multiply( inverse( identity ), X ), multiply( identity,
% 1.03/1.40 X ) ) ] )
% 1.03/1.40 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.03/1.40 , 0, clause( 2795, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 1.03/1.40 , Y ) ) ] )
% 1.03/1.40 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 1.03/1.40 inverse( identity ) ), :=( Y, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2799, [ =( multiply( inverse( identity ), X ), X ) ] )
% 1.03/1.40 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.03/1.40 , 0, clause( 2798, [ =( multiply( inverse( identity ), X ), multiply(
% 1.03/1.40 identity, X ) ) ] )
% 1.03/1.40 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.40 ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 subsumption(
% 1.03/1.40 clause( 83, [ =( multiply( inverse( identity ), X ), X ) ] )
% 1.03/1.40 , clause( 2799, [ =( multiply( inverse( identity ), X ), X ) ] )
% 1.03/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2801, [ ~( =( 'sk_c5', identity ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.40 , clause( 55, [ ~( =( identity, 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.40 , 0, substitution( 0, [] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2804, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 1.03/1.40 , clause( 83, [ =( multiply( inverse( identity ), X ), X ) ] )
% 1.03/1.40 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 paramod(
% 1.03/1.40 clause( 2805, [ =( X, multiply( inverse( 'sk_c5' ), X ) ), ~( =( 'sk_c5',
% 1.03/1.40 identity ) ) ] )
% 1.03/1.40 , clause( 2801, [ ~( =( 'sk_c5', identity ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.40 , 1, clause( 2804, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 1.03/1.40 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.40
% 1.03/1.40
% 1.03/1.40 eqswap(
% 1.03/1.40 clause( 2847, [ ~( =( identity, 'sk_c5' ) ), =( X, multiply( inverse(
% 1.03/1.40 'sk_c5' ), X ) ) ] )
% 1.03/1.41 , clause( 2805, [ =( X, multiply( inverse( 'sk_c5' ), X ) ), ~( =( 'sk_c5'
% 1.03/1.41 , identity ) ) ] )
% 1.03/1.41 , 1, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 2848, [ =( multiply( inverse( 'sk_c5' ), X ), X ), ~( =( identity,
% 1.03/1.41 'sk_c5' ) ) ] )
% 1.03/1.41 , clause( 2847, [ ~( =( identity, 'sk_c5' ) ), =( X, multiply( inverse(
% 1.03/1.41 'sk_c5' ), X ) ) ] )
% 1.03/1.41 , 1, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 86, [ =( multiply( inverse( 'sk_c5' ), X ), X ), ~( =( identity,
% 1.03/1.41 'sk_c5' ) ) ] )
% 1.03/1.41 , clause( 2848, [ =( multiply( inverse( 'sk_c5' ), X ), X ), ~( =( identity
% 1.03/1.41 , 'sk_c5' ) ) ] )
% 1.03/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.03/1.41 1 )] ) ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 2850, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.03/1.41 Y, Z ) ) ) ] )
% 1.03/1.41 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.03/1.41 ), Z ) ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 2855, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 1.03/1.41 multiply( X, Y ) ) ] )
% 1.03/1.41 , clause( 83, [ =( multiply( inverse( identity ), X ), X ) ] )
% 1.03/1.41 , 0, clause( 2850, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 1.03/1.41 multiply( Y, Z ) ) ) ] )
% 1.03/1.41 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.41 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 87, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 1.03/1.41 multiply( Y, X ) ) ] )
% 1.03/1.41 , clause( 2855, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 1.03/1.41 multiply( X, Y ) ) ] )
% 1.03/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.41 )] ) ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 2861, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 1.03/1.41 identity ) ), Y ) ) ] )
% 1.03/1.41 , clause( 87, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 1.03/1.41 multiply( Y, X ) ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 2864, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 1.03/1.41 identity, X ) ) ] )
% 1.03/1.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.03/1.41 , 0, clause( 2861, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 1.03/1.41 identity ) ), Y ) ) ] )
% 1.03/1.41 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 1.03/1.41 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 2865, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 1.03/1.41 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.03/1.41 , 0, clause( 2864, [ =( multiply( inverse( inverse( identity ) ), X ),
% 1.03/1.41 multiply( identity, X ) ) ] )
% 1.03/1.41 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.41 ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 137, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 1.03/1.41 , clause( 2865, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 1.03/1.41 )
% 1.03/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 2868, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 1.03/1.41 Y ) ), Y ) ) ] )
% 1.03/1.41 , clause( 37, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 1.03/1.41 , identity ) ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 2871, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 1.03/1.41 identity, X ) ) ] )
% 1.03/1.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.03/1.41 , 0, clause( 2868, [ =( multiply( X, identity ), multiply( multiply( X,
% 1.03/1.41 inverse( Y ) ), Y ) ) ] )
% 1.03/1.41 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 1.03/1.41 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 2872, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.41 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.03/1.41 , 0, clause( 2871, [ =( multiply( inverse( inverse( X ) ), identity ),
% 1.03/1.41 multiply( identity, X ) ) ] )
% 1.03/1.41 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.41 ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.41 , clause( 2872, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 1.03/1.41 )
% 1.03/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 2875, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 1.03/1.41 ) ] )
% 1.03/1.41 , clause( 38, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 1.03/1.41 ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 2878, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 1.03/1.41 ) ] )
% 1.03/1.41 , clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.41 , 0, clause( 2875, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 1.03/1.41 , Y ) ) ] )
% 1.03/1.41 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.03/1.41 inverse( X ) ) ), :=( Y, Y )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 147, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 1.03/1.41 ) ] )
% 1.03/1.41 , clause( 2878, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 1.03/1.41 ) ) ] )
% 1.03/1.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.41 )] ) ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 2884, [ =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 1.03/1.41 'sk_c2' ), 'sk_c6' ) ] )
% 1.03/1.41 , clause( 23, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.03/1.41 'sk_c2' ), 'sk_c6' ) ] )
% 1.03/1.41 , 0, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 2887, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 1.03/1.41 , clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 2891, [ =( 'sk_c2', multiply( inverse( 'sk_c6' ), identity ) ), =(
% 1.03/1.41 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.41 , clause( 2884, [ =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 1.03/1.41 'sk_c2' ), 'sk_c6' ) ] )
% 1.03/1.41 , 1, clause( 2887, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 1.03/1.41 ] )
% 1.03/1.41 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 2901, [ =( 'sk_c2', multiply( 'sk_c4', identity ) ), =( multiply(
% 1.03/1.41 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) )
% 1.03/1.41 ] )
% 1.03/1.41 , clause( 24, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.03/1.41 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.41 , 1, clause( 2891, [ =( 'sk_c2', multiply( inverse( 'sk_c6' ), identity ) )
% 1.03/1.41 , =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.41 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 2967, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c2',
% 1.03/1.41 multiply( 'sk_c4', identity ) ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5'
% 1.03/1.41 ) ] )
% 1.03/1.41 , clause( 2901, [ =( 'sk_c2', multiply( 'sk_c4', identity ) ), =( multiply(
% 1.03/1.41 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) )
% 1.03/1.41 ] )
% 1.03/1.41 , 2, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 2968, [ =( multiply( 'sk_c4', identity ), 'sk_c2' ), =( multiply(
% 1.03/1.41 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' )
% 1.03/1.41 ] )
% 1.03/1.41 , clause( 2967, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c2',
% 1.03/1.41 multiply( 'sk_c4', identity ) ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5'
% 1.03/1.41 ) ] )
% 1.03/1.41 , 1, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 factor(
% 1.03/1.41 clause( 2972, [ =( multiply( 'sk_c4', identity ), 'sk_c2' ), =( multiply(
% 1.03/1.41 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , clause( 2968, [ =( multiply( 'sk_c4', identity ), 'sk_c2' ), =( multiply(
% 1.03/1.41 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' )
% 1.03/1.41 ] )
% 1.03/1.41 , 1, 2, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 157, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 1.03/1.41 'sk_c4', identity ), 'sk_c2' ) ] )
% 1.03/1.41 , clause( 2972, [ =( multiply( 'sk_c4', identity ), 'sk_c2' ), =( multiply(
% 1.03/1.41 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.03/1.41 ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3042, [ ~( =( 'sk_c5', identity ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.41 , clause( 55, [ ~( =( identity, 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.41 , 0, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3045, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 1.03/1.41 , clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 3047, [ =( X, multiply( inverse( inverse( X ) ), 'sk_c5' ) ), ~(
% 1.03/1.41 =( 'sk_c5', identity ) ) ] )
% 1.03/1.41 , clause( 3042, [ ~( =( 'sk_c5', identity ) ), =( identity, 'sk_c5' ) ] )
% 1.03/1.41 , 1, clause( 3045, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 1.03/1.41 ] )
% 1.03/1.41 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 3058, [ =( X, multiply( X, 'sk_c5' ) ), ~( =( 'sk_c5', identity ) )
% 1.03/1.41 ] )
% 1.03/1.41 , clause( 147, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 1.03/1.41 ) ) ] )
% 1.03/1.41 , 0, clause( 3047, [ =( X, multiply( inverse( inverse( X ) ), 'sk_c5' ) ),
% 1.03/1.41 ~( =( 'sk_c5', identity ) ) ] )
% 1.03/1.41 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'sk_c5' )] ), substitution( 1
% 1.03/1.41 , [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3060, [ ~( =( identity, 'sk_c5' ) ), =( X, multiply( X, 'sk_c5' ) )
% 1.03/1.41 ] )
% 1.03/1.41 , clause( 3058, [ =( X, multiply( X, 'sk_c5' ) ), ~( =( 'sk_c5', identity )
% 1.03/1.41 ) ] )
% 1.03/1.41 , 1, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3061, [ =( multiply( X, 'sk_c5' ), X ), ~( =( identity, 'sk_c5' ) )
% 1.03/1.41 ] )
% 1.03/1.41 , clause( 3060, [ ~( =( identity, 'sk_c5' ) ), =( X, multiply( X, 'sk_c5' )
% 1.03/1.41 ) ] )
% 1.03/1.41 , 1, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 158, [ ~( =( identity, 'sk_c5' ) ), =( multiply( X, 'sk_c5' ), X )
% 1.03/1.41 ] )
% 1.03/1.41 , clause( 3061, [ =( multiply( X, 'sk_c5' ), X ), ~( =( identity, 'sk_c5' )
% 1.03/1.41 ) ] )
% 1.03/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.03/1.41 0 )] ) ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3062, [ =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 1.03/1.41 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.41 , clause( 24, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.03/1.41 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.41 , 0, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3065, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 1.03/1.41 , clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 3066, [ =( 'sk_c6', multiply( inverse( 'sk_c4' ), identity ) ), =(
% 1.03/1.41 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.41 , clause( 3062, [ =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 1.03/1.41 'sk_c6' ), 'sk_c4' ) ] )
% 1.03/1.41 , 1, clause( 3065, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 1.03/1.41 ] )
% 1.03/1.41 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c6' )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3068, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c6',
% 1.03/1.41 multiply( inverse( 'sk_c4' ), identity ) ) ] )
% 1.03/1.41 , clause( 3066, [ =( 'sk_c6', multiply( inverse( 'sk_c4' ), identity ) ),
% 1.03/1.41 =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.41 , 1, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3069, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ), =(
% 1.03/1.41 multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , clause( 3068, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c6',
% 1.03/1.41 multiply( inverse( 'sk_c4' ), identity ) ) ] )
% 1.03/1.41 , 1, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 159, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ), =(
% 1.03/1.41 multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , clause( 3069, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ),
% 1.03/1.41 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.03/1.41 ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3070, [ =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 1.03/1.41 'sk_c3' ), 'sk_c4' ) ] )
% 1.03/1.41 , clause( 26, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 1.03/1.41 'sk_c3' ), 'sk_c4' ) ] )
% 1.03/1.41 , 0, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3073, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 1.03/1.41 , clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 3077, [ =( 'sk_c3', multiply( inverse( 'sk_c4' ), identity ) ), =(
% 1.03/1.41 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.41 , clause( 3070, [ =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ), =( inverse(
% 1.03/1.41 'sk_c3' ), 'sk_c4' ) ] )
% 1.03/1.41 , 1, clause( 3073, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 1.03/1.41 ] )
% 1.03/1.41 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 3086, [ =( 'sk_c3', 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 1.03/1.41 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.41 , clause( 159, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ),
% 1.03/1.41 =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , 0, clause( 3077, [ =( 'sk_c3', multiply( inverse( 'sk_c4' ), identity ) )
% 1.03/1.41 , =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.41 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3106, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c3',
% 1.03/1.41 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , clause( 3086, [ =( 'sk_c3', 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 1.03/1.41 'sk_c5' ), =( 'sk_c5', multiply( 'sk_c4', 'sk_c6' ) ) ] )
% 1.03/1.41 , 2, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3107, [ =( 'sk_c6', 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 1.03/1.41 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , clause( 3106, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c3',
% 1.03/1.41 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , 1, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 factor(
% 1.03/1.41 clause( 3228, [ =( 'sk_c6', 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 1.03/1.41 'sk_c5' ) ] )
% 1.03/1.41 , clause( 3107, [ =( 'sk_c6', 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 1.03/1.41 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ) ] )
% 1.03/1.41 , 1, 2, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 160, [ =( multiply( 'sk_c4', 'sk_c6' ), 'sk_c5' ), =( 'sk_c6',
% 1.03/1.41 'sk_c3' ) ] )
% 1.03/1.41 , clause( 3228, [ =( 'sk_c6', 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c6' ),
% 1.03/1.41 'sk_c5' ) ] )
% 1.03/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.03/1.41 ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3230, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c2' ),
% 1.03/1.41 'sk_c6' ) ] )
% 1.03/1.41 , clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c2' ),
% 1.03/1.41 'sk_c6' ) ] )
% 1.03/1.41 , 0, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3233, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 1.03/1.41 , clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 3237, [ =( 'sk_c2', multiply( inverse( 'sk_c6' ), identity ) ), =(
% 1.03/1.41 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.41 , clause( 3230, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c2' ),
% 1.03/1.41 'sk_c6' ) ] )
% 1.03/1.41 , 1, clause( 3233, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 1.03/1.41 ] )
% 1.03/1.41 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 3247, [ =( 'sk_c2', multiply( 'sk_c4', identity ) ), =( inverse(
% 1.03/1.41 'sk_c1' ), 'sk_c6' ), =( 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.41 , clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c6' ),
% 1.03/1.41 'sk_c4' ) ] )
% 1.03/1.41 , 1, clause( 3237, [ =( 'sk_c2', multiply( inverse( 'sk_c6' ), identity ) )
% 1.03/1.41 , =( 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.41 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3313, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( 'sk_c2', multiply(
% 1.03/1.41 'sk_c4', identity ) ), =( inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.41 , clause( 3247, [ =( 'sk_c2', multiply( 'sk_c4', identity ) ), =( inverse(
% 1.03/1.41 'sk_c1' ), 'sk_c6' ), =( 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.41 , 2, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3314, [ =( multiply( 'sk_c4', identity ), 'sk_c2' ), =( inverse(
% 1.03/1.41 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.41 , clause( 3313, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( 'sk_c2', multiply(
% 1.03/1.41 'sk_c4', identity ) ), =( inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.41 , 1, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 factor(
% 1.03/1.41 clause( 3318, [ =( multiply( 'sk_c4', identity ), 'sk_c2' ), =( inverse(
% 1.03/1.41 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.41 , clause( 3314, [ =( multiply( 'sk_c4', identity ), 'sk_c2' ), =( inverse(
% 1.03/1.41 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.41 , 1, 2, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 subsumption(
% 1.03/1.41 clause( 168, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 1.03/1.41 identity ), 'sk_c2' ) ] )
% 1.03/1.41 , clause( 3318, [ =( multiply( 'sk_c4', identity ), 'sk_c2' ), =( inverse(
% 1.03/1.41 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.03/1.41 ).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3380, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c6' ),
% 1.03/1.41 'sk_c4' ) ] )
% 1.03/1.41 , clause( 18, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c6' ),
% 1.03/1.41 'sk_c4' ) ] )
% 1.03/1.41 , 0, substitution( 0, [] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 eqswap(
% 1.03/1.41 clause( 3383, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 1.03/1.41 , clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 paramod(
% 1.03/1.41 clause( 3384, [ =( 'sk_c6', multiply( inverse( 'sk_c4' ), identity ) ), =(
% 1.03/1.42 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.42 , clause( 3380, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c6' ),
% 1.03/1.42 'sk_c4' ) ] )
% 1.03/1.42 , 1, clause( 3383, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c6' )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3386, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( 'sk_c6', multiply(
% 1.03/1.42 inverse( 'sk_c4' ), identity ) ) ] )
% 1.03/1.42 , clause( 3384, [ =( 'sk_c6', multiply( inverse( 'sk_c4' ), identity ) ),
% 1.03/1.42 =( 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.42 , 1, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3387, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ), =(
% 1.03/1.42 inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.42 , clause( 3386, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( 'sk_c6', multiply(
% 1.03/1.42 inverse( 'sk_c4' ), identity ) ) ] )
% 1.03/1.42 , 1, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 170, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ), =(
% 1.03/1.42 inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.42 , clause( 3387, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ),
% 1.03/1.42 =( inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3389, [ =( 'sk_c4', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' ),
% 1.03/1.42 'sk_c6' ) ] )
% 1.03/1.42 , clause( 20, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.03/1.42 'sk_c4' ) ] )
% 1.03/1.42 , 1, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3391, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 1.03/1.42 , clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3400, [ =( 'sk_c1', multiply( inverse( 'sk_c6' ), identity ) ), =(
% 1.03/1.42 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 1.03/1.42 , clause( 3389, [ =( 'sk_c4', inverse( 'sk_c3' ) ), =( inverse( 'sk_c1' ),
% 1.03/1.42 'sk_c6' ) ] )
% 1.03/1.42 , 1, clause( 3391, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3402, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( 'sk_c1', multiply(
% 1.03/1.42 inverse( 'sk_c6' ), identity ) ) ] )
% 1.03/1.42 , clause( 3400, [ =( 'sk_c1', multiply( inverse( 'sk_c6' ), identity ) ),
% 1.03/1.42 =( 'sk_c4', inverse( 'sk_c3' ) ) ] )
% 1.03/1.42 , 1, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3403, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c1' ), =(
% 1.03/1.42 inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 1.03/1.42 , clause( 3402, [ =( inverse( 'sk_c3' ), 'sk_c4' ), =( 'sk_c1', multiply(
% 1.03/1.42 inverse( 'sk_c6' ), identity ) ) ] )
% 1.03/1.42 , 1, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 171, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c1' ), =(
% 1.03/1.42 inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 1.03/1.42 , clause( 3403, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c1' ),
% 1.03/1.42 =( inverse( 'sk_c3' ), 'sk_c4' ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3404, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c3' ),
% 1.03/1.42 'sk_c4' ) ] )
% 1.03/1.42 , clause( 20, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( inverse( 'sk_c3' ),
% 1.03/1.42 'sk_c4' ) ] )
% 1.03/1.42 , 0, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3407, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 1.03/1.42 , clause( 145, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3411, [ =( 'sk_c3', multiply( inverse( 'sk_c4' ), identity ) ), =(
% 1.03/1.42 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.42 , clause( 3404, [ =( 'sk_c6', inverse( 'sk_c1' ) ), =( inverse( 'sk_c3' ),
% 1.03/1.42 'sk_c4' ) ] )
% 1.03/1.42 , 1, clause( 3407, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3420, [ =( 'sk_c3', 'sk_c6' ), =( inverse( 'sk_c1' ), 'sk_c6' ),
% 1.03/1.42 =( 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.42 , clause( 170, [ =( multiply( inverse( 'sk_c4' ), identity ), 'sk_c6' ),
% 1.03/1.42 =( inverse( 'sk_c1' ), 'sk_c6' ) ] )
% 1.03/1.42 , 0, clause( 3411, [ =( 'sk_c3', multiply( inverse( 'sk_c4' ), identity ) )
% 1.03/1.42 , =( 'sk_c6', inverse( 'sk_c1' ) ) ] )
% 1.03/1.42 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3440, [ =( inverse( 'sk_c1' ), 'sk_c6' ), =( 'sk_c3', 'sk_c6' ),
% 1.03/1.42 =( inverse( 'skCputime limit exceeded (core dumped) (core dumped)
% 300.10/300.46 Bliksem ended
% 300.10/300.46 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------