TSTP Solution File: GRP321-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP321-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:36:30 EDT 2022
% Result : Unsatisfiable 0.71s 1.40s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP321-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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 06:55:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.40 *** allocated 10000 integers for termspace/termends
% 0.71/1.40 *** allocated 10000 integers for clauses
% 0.71/1.40 *** allocated 10000 integers for justifications
% 0.71/1.40 Bliksem 1.12
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 Automatic Strategy Selection
% 0.71/1.40
% 0.71/1.40 Clauses:
% 0.71/1.40 [
% 0.71/1.40 [ =( multiply( identity, X ), X ) ],
% 0.71/1.40 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.71/1.40 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.71/1.40 ],
% 0.71/1.40 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 0.71/1.40 'sk_c7' ), 'sk_c6' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 0.71/1.40 'sk_c7' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 0.71/1.40 'sk_c7' ), 'sk_c8' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply( 'sk_c5',
% 0.71/1.40 'sk_c7' ), 'sk_c6' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse( 'sk_c5' ),
% 0.71/1.40 'sk_c7' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply( 'sk_c6',
% 0.71/1.40 'sk_c7' ), 'sk_c8' ) ],
% 0.71/1.40 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 0.71/1.40 'sk_c7' ) ],
% 0.71/1.40 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ), 'sk_c8' ) ]
% 0.71/1.40 ,
% 0.71/1.40 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5', 'sk_c7' ),
% 0.71/1.40 'sk_c6' ) ],
% 0.71/1.40 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 0.71/1.40 ,
% 0.71/1.40 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 0.71/1.40 'sk_c8' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 0.71/1.40 'sk_c7' ), 'sk_c6' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 0.71/1.40 'sk_c7' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.71/1.40 'sk_c7' ), 'sk_c8' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply( 'sk_c5',
% 0.71/1.40 'sk_c7' ), 'sk_c6' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse( 'sk_c5' ),
% 0.71/1.40 'sk_c7' ) ],
% 0.71/1.40 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply( 'sk_c6',
% 0.71/1.40 'sk_c7' ), 'sk_c8' ) ],
% 0.71/1.40 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 0.71/1.40 'sk_c7' ) ],
% 0.71/1.40 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' ) ]
% 0.71/1.40 ,
% 0.71/1.40 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c5', 'sk_c7' ),
% 0.71/1.40 'sk_c6' ) ],
% 0.71/1.40 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 0.71/1.40 ,
% 0.71/1.40 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c6', 'sk_c7' ),
% 0.71/1.40 'sk_c8' ) ],
% 0.71/1.40 [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =( multiply( X,
% 0.71/1.40 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply(
% 0.71/1.40 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y ) ), ~( =(
% 0.71/1.40 inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ), 'sk_c7' ) ), ~(
% 0.71/1.40 =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7' ), 'sk_c6' ) ),
% 0.71/1.40 ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ),
% 0.71/1.40 'sk_c8' ) ) ]
% 0.71/1.40 ] .
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 percentage equality = 1.000000, percentage horn = 0.117647
% 0.71/1.40 This is a pure equality problem
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 Options Used:
% 0.71/1.40
% 0.71/1.40 useres = 1
% 0.71/1.40 useparamod = 1
% 0.71/1.40 useeqrefl = 1
% 0.71/1.40 useeqfact = 1
% 0.71/1.40 usefactor = 1
% 0.71/1.40 usesimpsplitting = 0
% 0.71/1.40 usesimpdemod = 5
% 0.71/1.40 usesimpres = 3
% 0.71/1.40
% 0.71/1.40 resimpinuse = 1000
% 0.71/1.40 resimpclauses = 20000
% 0.71/1.40 substype = eqrewr
% 0.71/1.40 backwardsubs = 1
% 0.71/1.40 selectoldest = 5
% 0.71/1.40
% 0.71/1.40 litorderings [0] = split
% 0.71/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.40
% 0.71/1.40 termordering = kbo
% 0.71/1.40
% 0.71/1.40 litapriori = 0
% 0.71/1.40 termapriori = 1
% 0.71/1.40 litaposteriori = 0
% 0.71/1.40 termaposteriori = 0
% 0.71/1.40 demodaposteriori = 0
% 0.71/1.40 ordereqreflfact = 0
% 0.71/1.40
% 0.71/1.40 litselect = negord
% 0.71/1.40
% 0.71/1.40 maxweight = 15
% 0.71/1.40 maxdepth = 30000
% 0.71/1.40 maxlength = 115
% 0.71/1.40 maxnrvars = 195
% 0.71/1.40 excuselevel = 1
% 0.71/1.40 increasemaxweight = 1
% 0.71/1.40
% 0.71/1.40 maxselected = 10000000
% 0.71/1.40 maxnrclauses = 10000000
% 0.71/1.40
% 0.71/1.40 showgenerated = 0
% 0.71/1.40 showkept = 0
% 0.71/1.40 showselected = 0
% 0.71/1.40 showdeleted = 0
% 0.71/1.40 showresimp = 1
% 0.71/1.40 showstatus = 2000
% 0.71/1.40
% 0.71/1.40 prologoutput = 1
% 0.71/1.40 nrgoals = 5000000
% 0.71/1.40 totalproof = 1
% 0.71/1.40
% 0.71/1.40 Symbols occurring in the translation:
% 0.71/1.40
% 0.71/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.40 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.71/1.40 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.71/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.40 identity [39, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.71/1.40 multiply [41, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.71/1.40 inverse [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.71/1.40 'sk_c7' [45, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.71/1.40 'sk_c8' [46, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.71/1.40 'sk_c6' [47, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.71/1.40 'sk_c4' [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.40 'sk_c5' [49, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.71/1.40 'sk_c1' [50, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.40 'sk_c3' [51, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.40 'sk_c2' [52, 0] (w:1, o:9, a:1, s:1, b:0).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 Starting Search:
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 Bliksems!, er is een bewijs:
% 0.71/1.40 % SZS status Unsatisfiable
% 0.71/1.40 % SZS output start Refutation
% 0.71/1.40
% 0.71/1.40 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.71/1.40 , Z ) ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 6, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 7, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 0.71/1.40 'sk_c4' ), 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 10, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 13, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 0.71/1.40 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 0.71/1.40 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.71/1.40 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 18, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 0.71/1.40 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 19, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 0.71/1.40 'sk_c4' ), 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 23, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 0.71/1.40 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 24, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 0.71/1.40 'sk_c4' ), 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 28, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 29, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 33, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 0.71/1.40 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.71/1.40 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 0.71/1.40 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 0.71/1.40 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 0.71/1.40 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 0.71/1.40 , 'sk_c7' ), 'sk_c8' ) ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 34, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 0.71/1.40 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.71/1.40 =( multiply( 'sk_c8', 'sk_c8' ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c8'
% 0.71/1.40 ), 'sk_c8' ) ), ~( =( inverse( Y ), 'sk_c8' ) ), ~( =( inverse( 'sk_c8'
% 0.71/1.40 ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 0.71/1.40 Z ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c8' ) ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 46, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.71/1.40 identity ) ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 47, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.71/1.40 ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 81, [ =( multiply( 'sk_c8', 'sk_c4' ), identity ), =( multiply(
% 0.71/1.40 'sk_c8', 'sk_c3' ), 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 83, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 0.71/1.40 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 85, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 87, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 0.71/1.40 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 96, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 97, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.71/1.40 multiply( Y, X ) ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 154, [ =( inverse( identity ), identity ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 157, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 240, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.71/1.40 ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 271, [ =( multiply( X, identity ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 303, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 338, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 0.71/1.40 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 346, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( 'sk_c3',
% 0.71/1.40 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 358, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 0.71/1.40 )
% 0.71/1.40 .
% 0.71/1.40 clause( 360, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 0.71/1.40 )
% 0.71/1.40 .
% 0.71/1.40 clause( 362, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( 'sk_c3', 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 373, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 374, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 375, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) ) ]
% 0.71/1.40 )
% 0.71/1.40 .
% 0.71/1.40 clause( 376, [ =( inverse( 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) )
% 0.71/1.40 ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 377, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( multiply( 'sk_c7', X ), X ) ]
% 0.71/1.40 )
% 0.71/1.40 .
% 0.71/1.40 clause( 387, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 0.71/1.40 'sk_c7', 'sk_c5' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 388, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 0.71/1.40 'sk_c6', 'sk_c5' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 397, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 421, [ =( multiply( X, 'sk_c8' ), X ), =( identity, 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 422, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 424, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 0.71/1.40 )
% 0.71/1.40 .
% 0.71/1.40 clause( 425, [ =( identity, 'sk_c7' ), =( multiply( 'sk_c8', X ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 426, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c7', X ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 432, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( inverse( 'sk_c6' ), 'sk_c6' )
% 0.71/1.40 ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 485, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 487, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 488, [ =( identity, 'sk_c8' ), =( multiply( X, 'sk_c5' ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 508, [ =( identity, 'sk_c8' ), =( 'sk_c1', 'sk_c8' ), =( 'sk_c8',
% 0.71/1.40 'sk_c6' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 509, [ =( identity, 'sk_c8' ), =( 'sk_c1', 'sk_c8' ), =( 'sk_c6',
% 0.71/1.40 'sk_c5' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 510, [ =( 'sk_c8', 'sk_c6' ), =( identity, 'sk_c8' ), =( 'sk_c8',
% 0.71/1.40 'sk_c5' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 511, [ =( 'sk_c6', 'sk_c5' ), =( identity, 'sk_c8' ), =( 'sk_c8',
% 0.71/1.40 'sk_c5' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 517, [ =( identity, 'sk_c8' ), =( 'sk_c8', 'sk_c5' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 618, [ =( 'sk_c3', 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 636, [ =( identity, 'sk_c7' ), =( 'sk_c4', 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 638, [ =( identity, 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 644, [ =( 'sk_c8', 'sk_c7' ), =( 'sk_c8', 'sk_c5' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 645, [ =( 'sk_c8', 'sk_c7' ), =( 'sk_c7', 'sk_c5' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 647, [ =( multiply( X, 'sk_c7' ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 648, [ =( inverse( 'sk_c7' ), 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 649, [ =( multiply( 'sk_c7', X ), X ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 651, [ =( 'sk_c8', 'sk_c7' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 653, [ =( inverse( 'sk_c6' ), 'sk_c6' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 654, [ =( 'sk_c7', 'sk_c6' ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 686, [ ~( =( Y, 'sk_c6' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 0.71/1.40 =( inverse( X ), 'sk_c6' ) ), ~( =( X, 'sk_c6' ) ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 688, [ ~( =( X, 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c6' ) ) ] )
% 0.71/1.40 .
% 0.71/1.40 clause( 689, [] )
% 0.71/1.40 .
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 % SZS output end Refutation
% 0.71/1.40 found a proof!
% 0.71/1.40
% 0.71/1.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.40
% 0.71/1.40 initialclauses(
% 0.71/1.40 [ clause( 691, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.40 , clause( 692, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.40 , clause( 693, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.71/1.40 Y, Z ) ) ) ] )
% 0.71/1.40 , clause( 694, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 0.71/1.40 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 695, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 0.71/1.40 'sk_c4' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 696, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 0.71/1.40 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 , clause( 697, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 698, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 699, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 700, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 0.71/1.40 'sk_c4' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 701, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 , clause( 702, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 703, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 704, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 705, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ] )
% 0.71/1.40 , clause( 706, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 0.71/1.40 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 , clause( 707, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 0.71/1.40 'sk_c7' ) ] )
% 0.71/1.40 , clause( 708, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 0.71/1.40 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 709, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 0.71/1.40 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 710, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 0.71/1.40 'sk_c4' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 711, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 0.71/1.40 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 , clause( 712, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 713, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 714, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 0.71/1.40 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 715, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 0.71/1.40 'sk_c4' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 716, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 0.71/1.40 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 , clause( 717, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 718, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 719, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 720, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ] )
% 0.71/1.40 , clause( 721, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c5',
% 0.71/1.40 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 , clause( 722, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c5' ),
% 0.71/1.40 'sk_c7' ) ] )
% 0.71/1.40 , clause( 723, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c6',
% 0.71/1.40 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 724, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 0.71/1.40 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 0.71/1.40 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 0.71/1.40 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 0.71/1.40 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 0.71/1.40 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 0.71/1.40 , 'sk_c7' ), 'sk_c8' ) ) ] )
% 0.71/1.40 ] ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.40 , clause( 691, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.40 , clause( 692, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 eqswap(
% 0.71/1.40 clause( 730, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.40 ), Z ) ) ] )
% 0.71/1.40 , clause( 693, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.71/1.40 Y, Z ) ) ) ] )
% 0.71/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.71/1.40 , Z ) ) ] )
% 0.71/1.40 , clause( 730, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.71/1.40 , Y ), Z ) ) ] )
% 0.71/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 6, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 697, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.40 ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 7, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 698, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.40 ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 699, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.40 ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 0.71/1.40 'sk_c4' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 700, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 0.71/1.40 'sk_c4' ), 'sk_c8' ) ] )
% 0.71/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.40 ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 10, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 , clause( 701, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 0.71/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.40 ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 702, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 0.71/1.40 'sk_c5' ), 'sk_c7' ) ] )
% 0.71/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.40 ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , clause( 703, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 0.71/1.40 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 0.71/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.40 ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 13, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , clause( 704, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 0.71/1.40 'sk_c8' ), 'sk_c7' ) ] )
% 0.71/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.40 ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ] )
% 0.71/1.40 , clause( 705, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 0.71/1.40 'sk_c8' ) ] )
% 0.71/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.40 ).
% 0.71/1.40
% 0.71/1.40
% 0.71/1.40 subsumption(
% 0.71/1.40 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 0.71/1.40 'sk_c7' ), 'sk_c6' ) ] )
% 32.92/33.29 , clause( 706, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 32.92/33.29 'sk_c7' ), 'sk_c6' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 32.92/33.29 'sk_c7' ) ] )
% 32.92/33.29 , clause( 707, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 32.92/33.29 'sk_c7' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 32.92/33.29 'sk_c7' ), 'sk_c8' ) ] )
% 32.92/33.29 , clause( 708, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 32.92/33.29 'sk_c7' ), 'sk_c8' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 18, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 32.92/33.29 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.29 , clause( 709, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 32.92/33.29 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 19, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 32.92/33.29 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.29 , clause( 710, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 32.92/33.29 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 23, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 32.92/33.29 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.29 , clause( 714, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 32.92/33.29 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 24, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 32.92/33.29 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.29 , clause( 715, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 32.92/33.29 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 28, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 32.92/33.29 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.29 , clause( 719, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 32.92/33.29 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 29, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 32.92/33.29 'sk_c8' ) ] )
% 32.92/33.29 , clause( 720, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 32.92/33.29 'sk_c8' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 33, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.92/33.29 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.92/33.29 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 32.92/33.29 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 32.92/33.29 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 32.92/33.29 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 32.92/33.29 , 'sk_c7' ), 'sk_c8' ) ) ] )
% 32.92/33.29 , clause( 724, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.92/33.29 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.92/33.29 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 32.92/33.29 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 32.92/33.29 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 32.92/33.29 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 32.92/33.29 , 'sk_c7' ), 'sk_c8' ) ) ] )
% 32.92/33.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 32.92/33.29 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 32.92/33.29 , 3 ), ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ),
% 32.92/33.29 ==>( 9, 9 ), ==>( 10, 10 )] ) ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 factor(
% 32.92/33.29 clause( 19794, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.92/33.29 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.92/33.29 =( multiply( 'sk_c8', 'sk_c8' ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c8'
% 32.92/33.29 ), 'sk_c8' ) ), ~( =( inverse( Y ), 'sk_c8' ) ), ~( =( inverse( 'sk_c8'
% 32.92/33.29 ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 32.92/33.29 Z ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c8' ) ) ] )
% 32.92/33.29 , clause( 33, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.92/33.29 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.92/33.29 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 32.92/33.29 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 32.92/33.29 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 32.92/33.29 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 32.92/33.29 , 'sk_c7' ), 'sk_c8' ) ) ] )
% 32.92/33.29 , 3, 6, substitution( 0, [ :=( X, X ), :=( Y, 'sk_c8' ), :=( Z, Y ), :=( T
% 32.92/33.29 , 'sk_c8' ), :=( U, Z )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 34, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.92/33.29 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.92/33.29 =( multiply( 'sk_c8', 'sk_c8' ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c8'
% 32.92/33.29 ), 'sk_c8' ) ), ~( =( inverse( Y ), 'sk_c8' ) ), ~( =( inverse( 'sk_c8'
% 32.92/33.29 ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 32.92/33.29 Z ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c8' ) ) ] )
% 32.92/33.29 , clause( 19794, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.92/33.29 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.92/33.29 =( multiply( 'sk_c8', 'sk_c8' ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c8'
% 32.92/33.29 ), 'sk_c8' ) ), ~( =( inverse( Y ), 'sk_c8' ) ), ~( =( inverse( 'sk_c8'
% 32.92/33.29 ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 32.92/33.29 Z ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c8' ) ) ] )
% 32.92/33.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 32.92/33.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 32.92/33.29 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ), ==>( 9,
% 32.92/33.29 9 )] ) ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34095, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 32.92/33.29 Y, Z ) ) ) ] )
% 32.92/33.29 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 32.92/33.29 ), Z ) ) ] )
% 32.92/33.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 paramod(
% 32.92/33.29 clause( 34100, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 32.92/33.29 , identity ) ) ] )
% 32.92/33.29 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.29 , 0, clause( 34095, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 32.92/33.29 multiply( Y, Z ) ) ) ] )
% 32.92/33.29 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 32.92/33.29 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 46, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 32.92/33.29 identity ) ) ] )
% 32.92/33.29 , clause( 34100, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 32.92/33.29 X, identity ) ) ] )
% 32.92/33.29 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 32.92/33.29 )] ) ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34105, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 32.92/33.29 Y, Z ) ) ) ] )
% 32.92/33.29 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 32.92/33.29 ), Z ) ) ] )
% 32.92/33.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 paramod(
% 32.92/33.29 clause( 34110, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 32.92/33.29 ) ) ] )
% 32.92/33.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 32.92/33.29 , 0, clause( 34105, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 32.92/33.29 multiply( Y, Z ) ) ) ] )
% 32.92/33.29 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 32.92/33.29 :=( Y, identity ), :=( Z, Y )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 47, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 32.92/33.29 ] )
% 32.92/33.29 , clause( 34110, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 32.92/33.29 Y ) ) ] )
% 32.92/33.29 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 32.92/33.29 )] ) ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34115, [ =( 'sk_c7', multiply( 'sk_c8', 'sk_c3' ) ), =( inverse(
% 32.92/33.29 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.29 , clause( 19, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 32.92/33.29 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.29 , 0, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34118, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.92/33.29 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.29 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 paramod(
% 32.92/33.29 clause( 34119, [ =( identity, multiply( 'sk_c8', 'sk_c4' ) ), =( 'sk_c7',
% 32.92/33.29 multiply( 'sk_c8', 'sk_c3' ) ) ] )
% 32.92/33.29 , clause( 34115, [ =( 'sk_c7', multiply( 'sk_c8', 'sk_c3' ) ), =( inverse(
% 32.92/33.29 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.29 , 1, clause( 34118, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.92/33.29 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34121, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( identity,
% 32.92/33.29 multiply( 'sk_c8', 'sk_c4' ) ) ] )
% 32.92/33.29 , clause( 34119, [ =( identity, multiply( 'sk_c8', 'sk_c4' ) ), =( 'sk_c7'
% 32.92/33.29 , multiply( 'sk_c8', 'sk_c3' ) ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34122, [ =( multiply( 'sk_c8', 'sk_c4' ), identity ), =( multiply(
% 32.92/33.29 'sk_c8', 'sk_c3' ), 'sk_c7' ) ] )
% 32.92/33.29 , clause( 34121, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( identity
% 32.92/33.29 , multiply( 'sk_c8', 'sk_c4' ) ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 81, [ =( multiply( 'sk_c8', 'sk_c4' ), identity ), =( multiply(
% 32.92/33.29 'sk_c8', 'sk_c3' ), 'sk_c7' ) ] )
% 32.92/33.29 , clause( 34122, [ =( multiply( 'sk_c8', 'sk_c4' ), identity ), =( multiply(
% 32.92/33.29 'sk_c8', 'sk_c3' ), 'sk_c7' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34123, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ), =( inverse(
% 32.92/33.29 'sk_c5' ), 'sk_c7' ) ] )
% 32.92/33.29 , clause( 6, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 32.92/33.29 'sk_c5' ), 'sk_c7' ) ] )
% 32.92/33.29 , 0, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34126, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.92/33.29 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.29 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 paramod(
% 32.92/33.29 clause( 34127, [ =( identity, multiply( 'sk_c7', 'sk_c5' ) ), =( 'sk_c6',
% 32.92/33.29 multiply( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.29 , clause( 34123, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ), =( inverse(
% 32.92/33.29 'sk_c5' ), 'sk_c7' ) ] )
% 32.92/33.29 , 1, clause( 34126, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.92/33.29 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34129, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( identity,
% 32.92/33.29 multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 32.92/33.29 , clause( 34127, [ =( identity, multiply( 'sk_c7', 'sk_c5' ) ), =( 'sk_c6'
% 32.92/33.29 , multiply( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34130, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 32.92/33.29 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.92/33.29 , clause( 34129, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( identity
% 32.92/33.29 , multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 83, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 32.92/33.29 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.92/33.29 , clause( 34130, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 32.92/33.29 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34132, [ =( 'sk_c8', multiply( 'sk_c6', 'sk_c7' ) ), =( inverse(
% 32.92/33.29 'sk_c1' ), 'sk_c7' ) ] )
% 32.92/33.29 , clause( 17, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 32.92/33.29 'sk_c7' ), 'sk_c8' ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34134, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.92/33.29 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.29 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 paramod(
% 32.92/33.29 clause( 34135, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c8',
% 32.92/33.29 multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 32.92/33.29 , clause( 34132, [ =( 'sk_c8', multiply( 'sk_c6', 'sk_c7' ) ), =( inverse(
% 32.92/33.29 'sk_c1' ), 'sk_c7' ) ] )
% 32.92/33.29 , 1, clause( 34134, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.92/33.29 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34137, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c8' ), =( identity,
% 32.92/33.29 multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 32.92/33.29 , clause( 34135, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c8'
% 32.92/33.29 , multiply( 'sk_c6', 'sk_c7' ) ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34138, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 32.92/33.29 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 32.92/33.29 , clause( 34137, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c8' ), =( identity
% 32.92/33.29 , multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 85, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 32.92/33.29 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 32.92/33.29 , clause( 34138, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 32.92/33.29 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34140, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ), =( inverse(
% 32.92/33.29 'sk_c1' ), 'sk_c7' ) ] )
% 32.92/33.29 , clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 32.92/33.29 'sk_c7' ), 'sk_c6' ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34142, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.92/33.29 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.29 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 paramod(
% 32.92/33.29 clause( 34143, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c6',
% 32.92/33.29 multiply( 'sk_c5', 'sk_c7' ) ) ] )
% 32.92/33.29 , clause( 34140, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ), =( inverse(
% 32.92/33.29 'sk_c1' ), 'sk_c7' ) ] )
% 32.92/33.29 , 1, clause( 34142, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.92/33.29 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34145, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( identity,
% 32.92/33.29 multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 32.92/33.29 , clause( 34143, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c6'
% 32.92/33.29 , multiply( 'sk_c5', 'sk_c7' ) ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34146, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 32.92/33.29 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 32.92/33.29 , clause( 34145, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( identity
% 32.92/33.29 , multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 32.92/33.29 , 1, substitution( 0, [] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 87, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 32.92/33.29 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 32.92/33.29 , clause( 34146, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 32.92/33.29 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 32.92/33.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34148, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 32.92/33.29 ) ) ] )
% 32.92/33.29 , clause( 47, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 32.92/33.29 ) ] )
% 32.92/33.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 paramod(
% 32.92/33.29 clause( 34151, [ =( multiply( inverse( identity ), X ), multiply( identity
% 32.92/33.29 , X ) ) ] )
% 32.92/33.29 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.29 , 0, clause( 34148, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 32.92/33.29 ), Y ) ) ] )
% 32.92/33.29 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 32.92/33.29 inverse( identity ) ), :=( Y, X )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 paramod(
% 32.92/33.29 clause( 34152, [ =( multiply( inverse( identity ), X ), X ) ] )
% 32.92/33.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 32.92/33.29 , 0, clause( 34151, [ =( multiply( inverse( identity ), X ), multiply(
% 32.92/33.29 identity, X ) ) ] )
% 32.92/33.29 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 32.92/33.29 ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 96, [ =( multiply( inverse( identity ), X ), X ) ] )
% 32.92/33.29 , clause( 34152, [ =( multiply( inverse( identity ), X ), X ) ] )
% 32.92/33.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34155, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 32.92/33.29 Y, Z ) ) ) ] )
% 32.92/33.29 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 32.92/33.29 ), Z ) ) ] )
% 32.92/33.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 paramod(
% 32.92/33.29 clause( 34160, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 32.92/33.29 multiply( X, Y ) ) ] )
% 32.92/33.29 , clause( 96, [ =( multiply( inverse( identity ), X ), X ) ] )
% 32.92/33.29 , 0, clause( 34155, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 32.92/33.29 multiply( Y, Z ) ) ) ] )
% 32.92/33.29 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 32.92/33.29 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 subsumption(
% 32.92/33.29 clause( 97, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 32.92/33.29 multiply( Y, X ) ) ] )
% 32.92/33.29 , clause( 34160, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 32.92/33.29 multiply( X, Y ) ) ] )
% 32.92/33.29 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 32.92/33.29 )] ) ).
% 32.92/33.29
% 32.92/33.29
% 32.92/33.29 eqswap(
% 32.92/33.29 clause( 34166, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 32.92/33.30 identity ) ), Y ) ) ] )
% 32.92/33.30 , clause( 97, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 32.92/33.30 multiply( Y, X ) ) ] )
% 32.92/33.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34169, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 32.92/33.30 identity, X ) ) ] )
% 32.92/33.30 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.30 , 0, clause( 34166, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 32.92/33.30 identity ) ), Y ) ) ] )
% 32.92/33.30 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 32.92/33.30 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34170, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 32.92/33.30 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 32.92/33.30 , 0, clause( 34169, [ =( multiply( inverse( inverse( identity ) ), X ),
% 32.92/33.30 multiply( identity, X ) ) ] )
% 32.92/33.30 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 32.92/33.30 ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 subsumption(
% 32.92/33.30 clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 32.92/33.30 , clause( 34170, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 32.92/33.30 )
% 32.92/33.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34172, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 32.92/33.30 , clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 32.92/33.30 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34174, [ =( inverse( identity ), identity ) ] )
% 32.92/33.30 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.30 , 0, clause( 34172, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 32.92/33.30 ] )
% 32.92/33.30 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 32.92/33.30 , [ :=( X, inverse( identity ) )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 subsumption(
% 32.92/33.30 clause( 154, [ =( inverse( identity ), identity ) ] )
% 32.92/33.30 , clause( 34174, [ =( inverse( identity ), identity ) ] )
% 32.92/33.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34177, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 32.92/33.30 Y ) ), Y ) ) ] )
% 32.92/33.30 , clause( 46, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 32.92/33.30 , identity ) ) ] )
% 32.92/33.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34180, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 32.92/33.30 identity, X ) ) ] )
% 32.92/33.30 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.30 , 0, clause( 34177, [ =( multiply( X, identity ), multiply( multiply( X,
% 32.92/33.30 inverse( Y ) ), Y ) ) ] )
% 32.92/33.30 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 32.92/33.30 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 32.92/33.30 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 32.92/33.30 , 0, clause( 34180, [ =( multiply( inverse( inverse( X ) ), identity ),
% 32.92/33.30 multiply( identity, X ) ) ] )
% 32.92/33.30 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 32.92/33.30 ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 subsumption(
% 32.92/33.30 clause( 157, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 32.92/33.30 , clause( 34181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 32.92/33.30 )
% 32.92/33.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34184, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 32.92/33.30 ) ) ] )
% 32.92/33.30 , clause( 47, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 32.92/33.30 ) ] )
% 32.92/33.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34187, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 32.92/33.30 ) ) ] )
% 32.92/33.30 , clause( 157, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 32.92/33.30 , 0, clause( 34184, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 32.92/33.30 ), Y ) ) ] )
% 32.92/33.30 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 32.92/33.30 inverse( X ) ) ), :=( Y, Y )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 subsumption(
% 32.92/33.30 clause( 240, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 32.92/33.30 ) ] )
% 32.92/33.30 , clause( 34187, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 32.92/33.30 Y ) ) ] )
% 32.92/33.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 32.92/33.30 )] ) ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34193, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 32.92/33.30 ) ) ] )
% 32.92/33.30 , clause( 240, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 32.92/33.30 ) ) ] )
% 32.92/33.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34196, [ =( multiply( X, identity ), X ) ] )
% 32.92/33.30 , clause( 157, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 32.92/33.30 , 0, clause( 34193, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 32.92/33.30 ), Y ) ) ] )
% 32.92/33.30 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 32.92/33.30 :=( Y, identity )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 subsumption(
% 32.92/33.30 clause( 271, [ =( multiply( X, identity ), X ) ] )
% 32.92/33.30 , clause( 34196, [ =( multiply( X, identity ), X ) ] )
% 32.92/33.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34201, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 32.92/33.30 ) ) ] )
% 32.92/33.30 , clause( 240, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 32.92/33.30 ) ) ] )
% 32.92/33.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34204, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.92/33.30 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.92/33.30 , 0, clause( 34201, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 32.92/33.30 ), Y ) ) ] )
% 32.92/33.30 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 32.92/33.30 :=( X, X ), :=( Y, inverse( X ) )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 subsumption(
% 32.92/33.30 clause( 303, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.92/33.30 , clause( 34204, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.92/33.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34208, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.92/33.30 'sk_c1' ), 'sk_c7' ) ] )
% 32.92/33.30 , clause( 13, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 32.92/33.30 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , 1, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34210, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.30 , clause( 303, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.92/33.30 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34214, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 32.92/33.30 multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , clause( 34208, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.92/33.30 'sk_c1' ), 'sk_c7' ) ] )
% 32.92/33.30 , 1, clause( 34210, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.30 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34223, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.92/33.30 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 32.92/33.30 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , 0, clause( 34214, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 32.92/33.30 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34243, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.92/33.30 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , clause( 34223, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' )
% 32.92/33.30 , 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , 2, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 factor(
% 32.92/33.30 clause( 34358, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.92/33.30 'sk_c8' ) ] )
% 32.92/33.30 , clause( 34243, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity
% 32.92/33.30 , 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , 0, 2, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 subsumption(
% 32.92/33.30 clause( 338, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.92/33.30 'sk_c8' ) ] )
% 32.92/33.30 , clause( 34358, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity
% 32.92/33.30 , 'sk_c8' ) ] )
% 32.92/33.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.30 ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34360, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.92/33.30 'sk_c2' ), 'sk_c8' ) ] )
% 32.92/33.30 , clause( 28, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 32.92/33.30 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , 1, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34362, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.30 , clause( 303, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.92/33.30 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34364, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( multiply(
% 32.92/33.30 'sk_c2', 'sk_c8' ), 'sk_c3' ) ] )
% 32.92/33.30 , clause( 23, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 32.92/33.30 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , 1, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34369, [ =( identity, multiply( 'sk_c2', 'sk_c8' ) ), =( 'sk_c7',
% 32.92/33.30 multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , clause( 34360, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.92/33.30 'sk_c2' ), 'sk_c8' ) ] )
% 32.92/33.30 , 1, clause( 34362, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.30 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34547, [ =( identity, 'sk_c3' ), =( 'sk_c7', multiply( 'sk_c4',
% 32.92/33.30 'sk_c8' ) ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , clause( 34364, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( multiply(
% 32.92/33.30 'sk_c2', 'sk_c8' ), 'sk_c3' ) ] )
% 32.92/33.30 , 1, clause( 34369, [ =( identity, multiply( 'sk_c2', 'sk_c8' ) ), =(
% 32.92/33.30 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 factor(
% 32.92/33.30 clause( 34548, [ =( identity, 'sk_c3' ), =( 'sk_c7', multiply( 'sk_c4',
% 32.92/33.30 'sk_c8' ) ) ] )
% 32.92/33.30 , clause( 34547, [ =( identity, 'sk_c3' ), =( 'sk_c7', multiply( 'sk_c4',
% 32.92/33.30 'sk_c8' ) ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , 1, 2, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34558, [ =( 'sk_c8', 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.92/33.30 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , clause( 338, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.92/33.30 'sk_c8' ) ] )
% 32.92/33.30 , 1, clause( 34548, [ =( identity, 'sk_c3' ), =( 'sk_c7', multiply( 'sk_c4'
% 32.92/33.30 , 'sk_c8' ) ) ] )
% 32.92/33.30 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34624, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( 'sk_c8',
% 32.92/33.30 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , clause( 34558, [ =( 'sk_c8', 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.92/33.30 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.92/33.30 , 2, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34625, [ =( 'sk_c3', 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.92/33.30 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , clause( 34624, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( 'sk_c8',
% 32.92/33.30 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , 1, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 factor(
% 32.92/33.30 clause( 34629, [ =( 'sk_c3', 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.92/33.30 'sk_c7' ) ] )
% 32.92/33.30 , clause( 34625, [ =( 'sk_c3', 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.92/33.30 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.92/33.30 , 1, 2, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 subsumption(
% 32.92/33.30 clause( 346, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( 'sk_c3',
% 32.92/33.30 'sk_c8' ) ] )
% 32.92/33.30 , clause( 34629, [ =( 'sk_c3', 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.92/33.30 'sk_c7' ) ] )
% 32.92/33.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 32.92/33.30 ).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34686, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 32.92/33.30 'sk_c7' ) ] )
% 32.92/33.30 , clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 32.92/33.30 'sk_c8' ) ] )
% 32.92/33.30 , 1, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34688, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.30 , clause( 303, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.92/33.30 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34694, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c8',
% 32.92/33.30 inverse( 'sk_c4' ) ) ] )
% 32.92/33.30 , clause( 34686, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' )
% 32.92/33.30 , 'sk_c7' ) ] )
% 32.92/33.30 , 1, clause( 34688, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.30 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 paramod(
% 32.92/33.30 clause( 34703, [ =( identity, 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' ),
% 32.92/33.30 =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.92/33.30 , clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 32.92/33.30 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.30 , 0, clause( 34694, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 32.92/33.30 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.92/33.30 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 eqswap(
% 32.92/33.30 clause( 34723, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ),
% 32.92/33.30 =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.30 , clause( 34703, [ =( identity, 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.92/33.30 , =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.92/33.30 , 2, substitution( 0, [] )).
% 32.92/33.30
% 32.92/33.30
% 32.92/33.30 factor(
% 32.92/33.31 clause( 34852, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 32.92/33.31 )
% 32.92/33.31 , clause( 34723, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' )
% 32.92/33.31 , =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.31 , 0, 2, substitution( 0, [] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 subsumption(
% 32.92/33.31 clause( 358, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 32.92/33.31 )
% 32.92/33.31 , clause( 34852, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' )
% 32.92/33.31 ] )
% 32.92/33.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.31 ).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 eqswap(
% 32.92/33.31 clause( 34854, [ =( 'sk_c7', inverse( 'sk_c5' ) ), =( inverse( 'sk_c1' ),
% 32.92/33.31 'sk_c7' ) ] )
% 32.92/33.31 , clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 32.92/33.31 'sk_c7' ) ] )
% 32.92/33.31 , 1, substitution( 0, [] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 eqswap(
% 32.92/33.31 clause( 34856, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.31 , clause( 303, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.92/33.31 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 paramod(
% 32.92/33.31 clause( 34862, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 32.92/33.31 inverse( 'sk_c5' ) ) ] )
% 32.92/33.31 , clause( 34854, [ =( 'sk_c7', inverse( 'sk_c5' ) ), =( inverse( 'sk_c1' )
% 32.92/33.31 , 'sk_c7' ) ] )
% 32.92/33.31 , 1, clause( 34856, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.31 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 paramod(
% 32.92/33.31 clause( 34871, [ =( identity, 'sk_c8' ), =( inverse( 'sk_c5' ), 'sk_c7' ),
% 32.92/33.31 =( 'sk_c7', inverse( 'sk_c5' ) ) ] )
% 32.92/33.31 , clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 32.92/33.31 'sk_c5' ), 'sk_c7' ) ] )
% 32.92/33.31 , 0, clause( 34862, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 32.92/33.31 'sk_c7', inverse( 'sk_c5' ) ) ] )
% 32.92/33.31 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 eqswap(
% 32.92/33.31 clause( 34891, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ),
% 32.92/33.31 =( inverse( 'sk_c5' ), 'sk_c7' ) ] )
% 32.92/33.31 , clause( 34871, [ =( identity, 'sk_c8' ), =( inverse( 'sk_c5' ), 'sk_c7' )
% 32.92/33.31 , =( 'sk_c7', inverse( 'sk_c5' ) ) ] )
% 32.92/33.31 , 2, substitution( 0, [] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 factor(
% 32.92/33.31 clause( 35014, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 32.92/33.31 )
% 32.92/33.31 , clause( 34891, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' )
% 32.92/33.31 , =( inverse( 'sk_c5' ), 'sk_c7' ) ] )
% 32.92/33.31 , 0, 2, substitution( 0, [] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 subsumption(
% 32.92/33.31 clause( 360, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 32.92/33.31 )
% 32.92/33.31 , clause( 35014, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' )
% 32.92/33.31 ] )
% 32.92/33.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.31 ).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 eqswap(
% 32.92/33.31 clause( 35016, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' ),
% 32.92/33.31 'sk_c8' ) ] )
% 32.92/33.31 , clause( 29, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 32.92/33.31 'sk_c8' ) ] )
% 32.92/33.31 , 1, substitution( 0, [] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 eqswap(
% 32.92/33.31 clause( 35018, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.31 , clause( 303, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.92/33.31 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 eqswap(
% 32.92/33.31 clause( 35020, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 32.92/33.31 'sk_c8' ), 'sk_c3' ) ] )
% 32.92/33.31 , clause( 24, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 32.92/33.31 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.31 , 1, substitution( 0, [] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 paramod(
% 32.92/33.31 clause( 35027, [ =( identity, multiply( 'sk_c2', 'sk_c8' ) ), =( 'sk_c8',
% 32.92/33.31 inverse( 'sk_c4' ) ) ] )
% 32.92/33.31 , clause( 35016, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' )
% 32.92/33.31 , 'sk_c8' ) ] )
% 32.92/33.31 , 1, clause( 35018, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.31 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 paramod(
% 32.92/33.31 clause( 35205, [ =( identity, 'sk_c3' ), =( 'sk_c8', inverse( 'sk_c4' ) ),
% 32.92/33.31 =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.92/33.31 , clause( 35020, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 32.92/33.31 'sk_c8' ), 'sk_c3' ) ] )
% 32.92/33.31 , 1, clause( 35027, [ =( identity, multiply( 'sk_c2', 'sk_c8' ) ), =(
% 32.92/33.31 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.92/33.31 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 factor(
% 32.92/33.31 clause( 35206, [ =( identity, 'sk_c3' ), =( 'sk_c8', inverse( 'sk_c4' ) ) ]
% 32.92/33.31 )
% 32.92/33.31 , clause( 35205, [ =( identity, 'sk_c3' ), =( 'sk_c8', inverse( 'sk_c4' ) )
% 32.92/33.31 , =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.92/33.31 , 1, 2, substitution( 0, [] )).
% 32.92/33.31
% 32.92/33.31
% 32.92/33.31 paramod(
% 32.92/33.31 clause( 35216, [ =( 'sk_c8', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c8' ),
% 32.92/33.31 =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.92/33.32 , clause( 358, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 32.92/33.32 )
% 32.92/33.32 , 1, clause( 35206, [ =( identity, 'sk_c3' ), =( 'sk_c8', inverse( 'sk_c4'
% 32.92/33.32 ) ) ] )
% 32.92/33.32 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35282, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( 'sk_c8', 'sk_c3' ),
% 32.92/33.32 =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.32 , clause( 35216, [ =( 'sk_c8', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.92/33.32 , =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.92/33.32 , 2, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35283, [ =( 'sk_c3', 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' ),
% 32.92/33.32 =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.32 , clause( 35282, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( 'sk_c8', 'sk_c3' )
% 32.92/33.32 , =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.32 , 1, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 factor(
% 32.92/33.32 clause( 35287, [ =( 'sk_c3', 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' ) ]
% 32.92/33.32 )
% 32.92/33.32 , clause( 35283, [ =( 'sk_c3', 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.92/33.32 , =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.92/33.32 , 1, 2, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 subsumption(
% 32.92/33.32 clause( 362, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( 'sk_c3', 'sk_c8' ) ] )
% 32.92/33.32 , clause( 35287, [ =( 'sk_c3', 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.92/33.32 ] )
% 32.92/33.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 32.92/33.32 ).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35348, [ =( 'sk_c8', identity ), =( inverse( 'sk_c4' ), 'sk_c8' ) ]
% 32.92/33.32 )
% 32.92/33.32 , clause( 358, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 32.92/33.32 )
% 32.92/33.32 , 1, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35350, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.32 , clause( 303, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.92/33.32 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35356, [ =( identity, multiply( 'sk_c4', 'sk_c8' ) ), =( 'sk_c8',
% 32.92/33.32 identity ) ] )
% 32.92/33.32 , clause( 35348, [ =( 'sk_c8', identity ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.92/33.32 ] )
% 32.92/33.32 , 1, clause( 35350, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.92/33.32 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35377, [ =( identity, 'sk_c7' ), =( identity, 'sk_c8' ), =( 'sk_c8'
% 32.92/33.32 , identity ) ] )
% 32.92/33.32 , clause( 338, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.92/33.32 'sk_c8' ) ] )
% 32.92/33.32 , 0, clause( 35356, [ =( identity, multiply( 'sk_c4', 'sk_c8' ) ), =(
% 32.92/33.32 'sk_c8', identity ) ] )
% 32.92/33.32 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35401, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ), =(
% 32.92/33.32 identity, 'sk_c8' ) ] )
% 32.92/33.32 , clause( 35377, [ =( identity, 'sk_c7' ), =( identity, 'sk_c8' ), =(
% 32.92/33.32 'sk_c8', identity ) ] )
% 32.92/33.32 , 2, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 factor(
% 32.92/33.32 clause( 35560, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , clause( 35401, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ), =(
% 32.92/33.32 identity, 'sk_c8' ) ] )
% 32.92/33.32 , 0, 2, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 subsumption(
% 32.92/33.32 clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , clause( 35560, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.32 ).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqfact(
% 32.92/33.32 clause( 35564, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 0, 1, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 subsumption(
% 32.92/33.32 clause( 373, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , clause( 35564, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.32 ).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35575, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , clause( 373, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 0, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqfact(
% 32.92/33.32 clause( 35579, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c8' ) ] )
% 32.92/33.32 , clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 1, 0, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35592, [ =( 'sk_c7', 'sk_c8' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =(
% 32.92/33.32 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.32 , clause( 35575, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 1, clause( 35579, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c8' ) ]
% 32.92/33.32 )
% 32.92/33.32 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35595, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c8' ), ~( =(
% 32.92/33.32 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.32 , clause( 35592, [ =( 'sk_c7', 'sk_c8' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~(
% 32.92/33.32 =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.32 , 2, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35597, [ ~( =( 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c8', 'sk_c7' ) ),
% 32.92/33.32 =( 'sk_c7', 'sk_c8' ) ] )
% 32.92/33.32 , clause( 35595, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c8' ), ~(
% 32.92/33.32 =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.32 , 2, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35598, [ =( 'sk_c8', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ), ~( =(
% 32.92/33.32 'sk_c8', 'sk_c7' ) ) ] )
% 32.92/33.32 , clause( 35597, [ ~( =( 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c8', 'sk_c7' ) ),
% 32.92/33.32 =( 'sk_c7', 'sk_c8' ) ] )
% 32.92/33.32 , 2, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 factor(
% 32.92/33.32 clause( 35601, [ =( 'sk_c8', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.92/33.32 , clause( 35598, [ =( 'sk_c8', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ), ~(
% 32.92/33.32 =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.92/33.32 , 1, 2, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 subsumption(
% 32.92/33.32 clause( 374, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.92/33.32 , clause( 35601, [ =( 'sk_c8', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.92/33.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 32.92/33.32 ).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35604, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , clause( 373, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 0, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35607, [ =( X, multiply( X, identity ) ) ] )
% 32.92/33.32 , clause( 271, [ =( multiply( X, identity ), X ) ] )
% 32.92/33.32 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35608, [ =( X, multiply( X, 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) )
% 32.92/33.32 ] )
% 32.92/33.32 , clause( 35604, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 1, clause( 35607, [ =( X, multiply( X, identity ) ) ] )
% 32.92/33.32 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35610, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( X, multiply( X, 'sk_c7' ) )
% 32.92/33.32 ] )
% 32.92/33.32 , clause( 35608, [ =( X, multiply( X, 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' )
% 32.92/33.32 ) ] )
% 32.92/33.32 , 1, substitution( 0, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35611, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.92/33.32 ] )
% 32.92/33.32 , clause( 35610, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( X, multiply( X, 'sk_c7' )
% 32.92/33.32 ) ] )
% 32.92/33.32 , 1, substitution( 0, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 subsumption(
% 32.92/33.32 clause( 375, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) ) ]
% 32.92/33.32 )
% 32.92/33.32 , clause( 35611, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' )
% 32.92/33.32 ) ] )
% 32.92/33.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 32.92/33.32 1 )] ) ).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35615, [ =( identity, inverse( identity ) ) ] )
% 32.92/33.32 , clause( 154, [ =( inverse( identity ), identity ) ] )
% 32.92/33.32 , 0, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35641, [ =( identity, inverse( 'sk_c7' ) ), ~( =( 'sk_c8', 'sk_c7'
% 32.92/33.32 ) ) ] )
% 32.92/33.32 , clause( 373, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 1, clause( 35615, [ =( identity, inverse( identity ) ) ] )
% 32.92/33.32 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35642, [ =( 'sk_c7', inverse( 'sk_c7' ) ), ~( =( 'sk_c8', 'sk_c7' )
% 32.92/33.32 ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.92/33.32 , clause( 373, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 1, clause( 35641, [ =( identity, inverse( 'sk_c7' ) ), ~( =( 'sk_c8',
% 32.92/33.32 'sk_c7' ) ) ] )
% 32.92/33.32 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35646, [ =( inverse( 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' )
% 32.92/33.32 ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.92/33.32 , clause( 35642, [ =( 'sk_c7', inverse( 'sk_c7' ) ), ~( =( 'sk_c8', 'sk_c7'
% 32.92/33.32 ) ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.92/33.32 , 0, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 factor(
% 32.92/33.32 clause( 35650, [ =( inverse( 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' )
% 32.92/33.32 ) ] )
% 32.92/33.32 , clause( 35646, [ =( inverse( 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7'
% 32.92/33.32 ) ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.92/33.32 , 1, 2, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 subsumption(
% 32.92/33.32 clause( 376, [ =( inverse( 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.92/33.32 ] )
% 32.92/33.32 , clause( 35650, [ =( inverse( 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7'
% 32.92/33.32 ) ) ] )
% 32.92/33.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.92/33.32 ).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35652, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , clause( 373, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 0, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35655, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 32.92/33.32 , clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 32.92/33.32 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35657, [ =( X, multiply( inverse( inverse( 'sk_c7' ) ), X ) ), ~(
% 32.92/33.32 =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.32 , clause( 35652, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.32 , 1, clause( 35655, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 32.92/33.32 ] )
% 32.92/33.32 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35658, [ =( X, multiply( 'sk_c7', X ) ), ~( =( 'sk_c7', 'sk_c8' ) )
% 32.92/33.32 ] )
% 32.92/33.32 , clause( 240, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 32.92/33.32 ) ) ] )
% 32.92/33.32 , 0, clause( 35657, [ =( X, multiply( inverse( inverse( 'sk_c7' ) ), X ) )
% 32.92/33.32 , ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.32 , 0, 2, substitution( 0, [ :=( X, 'sk_c7' ), :=( Y, X )] ), substitution( 1
% 32.92/33.32 , [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35660, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( X, multiply( 'sk_c7', X ) )
% 32.92/33.32 ] )
% 32.92/33.32 , clause( 35658, [ =( X, multiply( 'sk_c7', X ) ), ~( =( 'sk_c7', 'sk_c8' )
% 32.92/33.32 ) ] )
% 32.92/33.32 , 1, substitution( 0, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35661, [ =( multiply( 'sk_c7', X ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.92/33.32 ] )
% 32.92/33.32 , clause( 35660, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( X, multiply( 'sk_c7', X )
% 32.92/33.32 ) ] )
% 32.92/33.32 , 1, substitution( 0, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 subsumption(
% 32.92/33.32 clause( 377, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( multiply( 'sk_c7', X ), X ) ]
% 32.92/33.32 )
% 32.92/33.32 , clause( 35661, [ =( multiply( 'sk_c7', X ), X ), ~( =( 'sk_c8', 'sk_c7' )
% 32.92/33.32 ) ] )
% 32.92/33.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 32.92/33.32 0 )] ) ).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35662, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.92/33.32 , clause( 374, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.92/33.32 , 0, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35665, [ =( identity, multiply( 'sk_c7', 'sk_c5' ) ), =( multiply(
% 32.92/33.32 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.92/33.32 , clause( 83, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 32.92/33.32 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.92/33.32 , 0, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35668, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( 'sk_c7', X ), X )
% 32.92/33.32 ] )
% 32.92/33.32 , clause( 377, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( multiply( 'sk_c7', X ), X )
% 32.92/33.32 ] )
% 32.92/33.32 , 0, substitution( 0, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 eqswap(
% 32.92/33.32 clause( 35672, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X )
% 32.92/33.32 ] )
% 32.92/33.32 , clause( 375, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.92/33.32 ] )
% 32.92/33.32 , 1, substitution( 0, [ :=( X, X )] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35677, [ =( multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ), ~( =( 'sk_c7'
% 32.92/33.32 , 'sk_c8' ) ), =( identity, multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 32.92/33.32 , clause( 35662, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.92/33.32 , 1, clause( 35665, [ =( identity, multiply( 'sk_c7', 'sk_c5' ) ), =(
% 32.92/33.32 multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.92/33.32 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35689, [ =( identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.92/33.32 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.32 , clause( 35668, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( 'sk_c7', X ), X
% 32.92/33.32 ) ] )
% 32.92/33.32 , 1, clause( 35677, [ =( multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ), ~( =(
% 32.92/33.32 'sk_c7', 'sk_c8' ) ), =( identity, multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 32.92/33.32 , 2, 2, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 factor(
% 32.92/33.32 clause( 35694, [ =( identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.92/33.32 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ] )
% 32.92/33.32 , clause( 35689, [ =( identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.92/33.32 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.32 , 1, 3, substitution( 0, [] )).
% 32.92/33.32
% 32.92/33.32
% 32.92/33.32 paramod(
% 32.92/33.32 clause( 35695, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.92/33.32 identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.32 , clause( 35672, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X
% 32.92/33.32 ) ] )
% 32.92/33.32 , 1, clause( 35694, [ =( identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 32.92/33.34 =( multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ] )
% 32.92/33.34 , 2, 1, substitution( 0, [ :=( X, 'sk_c7' )] ), substitution( 1, [] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 factor(
% 32.92/33.34 clause( 35696, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.92/33.34 identity, 'sk_c5' ) ] )
% 32.92/33.34 , clause( 35695, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.92/33.34 identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.34 , 1, 3, substitution( 0, [] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 paramod(
% 32.92/33.34 clause( 35705, [ =( 'sk_c7', 'sk_c5' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 32.92/33.34 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.34 , clause( 373, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.92/33.34 , 1, clause( 35696, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 32.92/33.34 =( identity, 'sk_c5' ) ] )
% 32.92/33.34 , 2, 1, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 eqswap(
% 32.92/33.34 clause( 35709, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c5' ), ~( =(
% 32.92/33.34 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 32.92/33.34 , clause( 35705, [ =( 'sk_c7', 'sk_c5' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 32.92/33.34 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.34 , 3, substitution( 0, [] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 factor(
% 32.92/33.34 clause( 35723, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c5' ), =(
% 32.92/33.34 'sk_c7', 'sk_c6' ) ] )
% 32.92/33.34 , clause( 35709, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c5' ), ~(
% 32.92/33.34 =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 32.92/33.34 , 0, 2, substitution( 0, [] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 subsumption(
% 32.92/33.34 clause( 387, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 32.92/33.34 'sk_c7', 'sk_c5' ) ] )
% 32.92/33.34 , clause( 35723, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c5' ), =(
% 32.92/33.34 'sk_c7', 'sk_c6' ) ] )
% 32.92/33.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 32.92/33.34 , 1 )] ) ).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 eqswap(
% 32.92/33.34 clause( 35724, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.92/33.34 , clause( 374, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.92/33.34 , 0, substitution( 0, [] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 eqswap(
% 32.92/33.34 clause( 35727, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ), =( multiply(
% 32.92/33.34 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 32.92/33.34 , clause( 7, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 32.92/33.34 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 32.92/33.34 , 0, substitution( 0, [] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 eqswap(
% 32.92/33.34 clause( 35731, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X )
% 32.92/33.34 ] )
% 32.92/33.34 , clause( 375, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.92/33.34 ] )
% 32.92/33.34 , 1, substitution( 0, [ :=( X, X )] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 eqswap(
% 32.92/33.34 clause( 35734, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X )
% 32.92/33.34 ] )
% 32.92/33.34 , clause( 375, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.92/33.34 ] )
% 32.92/33.34 , 1, substitution( 0, [ :=( X, X )] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 eqswap(
% 32.92/33.34 clause( 35737, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 32.92/33.34 'sk_c7', 'sk_c5' ) ] )
% 32.92/33.34 , clause( 387, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 32.92/33.34 'sk_c7', 'sk_c5' ) ] )
% 32.92/33.34 , 1, substitution( 0, [] )).
% 32.92/33.34
% 32.92/33.34
% 32.92/33.34 paramod(
% 32.92/33.34 clause( 35744, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c7'
% 32.92/33.34 , 'sk_c8' ) ), =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.34 , clause( 35724, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.92/33.34 , 1, clause( 35727, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ), =(
% 32.92/33.34 multiply( 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 32.92/33.35 , 1, 4, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.35
% 32.92/33.35
% 32.92/33.35 paramod(
% 32.92/33.35 clause( 35746, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =( 'sk_c7'
% 32.92/33.35 , 'sk_c8' ) ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c7'
% 32.92/33.35 , 'sk_c8' ) ) ] )
% 32.92/33.35 , clause( 35724, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.92/33.35 , 1, clause( 35744, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ), ~( =(
% 32.92/33.35 'sk_c7', 'sk_c8' ) ), =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.35 , 2, 4, substitution( 0, [] ), substitution( 1, [] )).
% 32.92/33.35
% 32.92/33.35
% 32.92/33.35 factor(
% 32.92/33.35 clause( 35756, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =( 'sk_c7'
% 32.92/33.35 , 'sk_c8' ) ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ) ] )
% 32.92/33.35 , clause( 35746, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =(
% 32.92/33.35 'sk_c7', 'sk_c8' ) ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ), ~( =(
% 32.92/33.35 'sk_c7', 'sk_c8' ) ) ] )
% 32.92/33.35 , 1, 3, substitution( 0, [] )).
% 32.92/33.35
% 32.92/33.35
% 32.92/33.35 paramod(
% 32.92/33.35 clause( 35761, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.92/33.35 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.29/33.67 , clause( 35731, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X
% 33.29/33.67 ) ] )
% 33.29/33.67 , 1, clause( 35756, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =(
% 33.29/33.67 'sk_c7', 'sk_c8' ) ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ) ] )
% 33.29/33.67 , 2, 1, substitution( 0, [ :=( X, 'sk_c6' )] ), substitution( 1, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 paramod(
% 33.29/33.67 clause( 35767, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 33.29/33.67 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =( 'sk_c7', 'sk_c8' )
% 33.29/33.67 ) ] )
% 33.29/33.67 , clause( 35734, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X
% 33.29/33.67 ) ] )
% 33.29/33.67 , 1, clause( 35761, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.29/33.67 =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ]
% 33.29/33.67 )
% 33.29/33.67 , 2, 2, substitution( 0, [ :=( X, 'sk_c7' )] ), substitution( 1, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 factor(
% 33.29/33.67 clause( 35768, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =(
% 33.29/33.67 'sk_c7', 'sk_c8' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.29/33.67 , clause( 35767, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 33.29/33.67 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =( 'sk_c7', 'sk_c8' )
% 33.29/33.67 ) ] )
% 33.29/33.67 , 0, 2, substitution( 0, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 factor(
% 33.29/33.67 clause( 35769, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =(
% 33.29/33.67 'sk_c7', 'sk_c8' ) ) ] )
% 33.29/33.67 , clause( 35768, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~(
% 33.29/33.67 =( 'sk_c7', 'sk_c8' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.29/33.67 , 1, 2, substitution( 0, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 factor(
% 33.29/33.67 clause( 35770, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.29/33.67 , clause( 35769, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~(
% 33.29/33.67 =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.29/33.67 , 1, 2, substitution( 0, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 paramod(
% 33.29/33.67 clause( 36052, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c6', 'sk_c7' ), ~( =(
% 33.29/33.67 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.29/33.67 , clause( 35737, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.29/33.67 'sk_c7', 'sk_c5' ) ] )
% 33.29/33.67 , 2, clause( 35770, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ) ]
% 33.29/33.67 )
% 33.29/33.67 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 eqswap(
% 33.29/33.67 clause( 36077, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c6', 'sk_c5' ), =(
% 33.29/33.67 'sk_c6', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.29/33.67 , clause( 36052, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c6', 'sk_c7' ), ~( =(
% 33.29/33.67 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.29/33.67 , 3, substitution( 0, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 eqswap(
% 33.29/33.67 clause( 36079, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.29/33.67 'sk_c6', 'sk_c5' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.29/33.67 , clause( 36077, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c6', 'sk_c5' ), =(
% 33.29/33.67 'sk_c6', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.29/33.67 , 2, substitution( 0, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 factor(
% 33.29/33.67 clause( 36185, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.29/33.67 'sk_c6', 'sk_c5' ) ] )
% 33.29/33.67 , clause( 36079, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.29/33.67 'sk_c6', 'sk_c5' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.29/33.67 , 1, 3, substitution( 0, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 subsumption(
% 33.29/33.67 clause( 388, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.29/33.67 'sk_c6', 'sk_c5' ) ] )
% 33.29/33.67 , clause( 36185, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.29/33.67 'sk_c6', 'sk_c5' ) ] )
% 33.29/33.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 33.29/33.67 , 2 )] ) ).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 eqswap(
% 33.29/33.67 clause( 36187, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.29/33.67 'sk_c7', 'sk_c5' ) ] )
% 33.29/33.67 , clause( 387, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.29/33.67 'sk_c7', 'sk_c5' ) ] )
% 33.29/33.67 , 0, substitution( 0, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 eqswap(
% 33.29/33.67 clause( 36194, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.29/33.67 'sk_c6', 'sk_c5' ) ] )
% 33.29/33.67 , clause( 388, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.29/33.67 'sk_c6', 'sk_c5' ) ] )
% 33.29/33.67 , 0, substitution( 0, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 eqfact(
% 33.29/33.67 clause( 36202, [ ~( =( 'sk_c5', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.29/33.67 =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.67 , clause( 36187, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.29/33.67 'sk_c7', 'sk_c5' ) ] )
% 33.29/33.67 , 2, 1, substitution( 0, [] )).
% 33.29/33.67
% 33.29/33.67
% 33.29/33.67 paramod(
% 33.29/33.67 clause( 44658, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.29/33.67 =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' )
% 33.29/33.67 ] )
% 33.29/33.67 , clause( 36194, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.29/33.67 'sk_c6', 'sk_c5' ) ] )
% 33.29/33.68 , 2, clause( 36202, [ ~( =( 'sk_c5', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c8' )
% 33.29/33.68 ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 factor(
% 33.29/33.68 clause( 44685, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.29/33.68 =( 'sk_c7', 'sk_c6' ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , clause( 44658, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.29/33.68 =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' )
% 33.29/33.68 ] )
% 33.29/33.68 , 1, 3, substitution( 0, [] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 factor(
% 33.29/33.68 clause( 44686, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.29/33.68 =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , clause( 44685, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.29/33.68 =( 'sk_c7', 'sk_c6' ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , 2, 3, substitution( 0, [] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqrefl(
% 33.29/33.68 clause( 45459, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , clause( 44686, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.29/33.68 =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , 0, substitution( 0, [] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45460, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , clause( 45459, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , 0, substitution( 0, [] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 subsumption(
% 33.29/33.68 clause( 397, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , clause( 45460, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.29/33.68 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 33.29/33.68 ).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45464, [ =( 'sk_c7', identity ), =( identity, 'sk_c8' ) ] )
% 33.29/33.68 , clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.29/33.68 , 1, substitution( 0, [] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45466, [ =( X, multiply( X, identity ) ) ] )
% 33.29/33.68 , clause( 271, [ =( multiply( X, identity ), X ) ] )
% 33.29/33.68 , 0, substitution( 0, [ :=( X, X )] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 paramod(
% 33.29/33.68 clause( 45563, [ =( X, multiply( X, 'sk_c8' ) ), =( 'sk_c7', identity ) ]
% 33.29/33.68 )
% 33.29/33.68 , clause( 45464, [ =( 'sk_c7', identity ), =( identity, 'sk_c8' ) ] )
% 33.29/33.68 , 1, clause( 45466, [ =( X, multiply( X, identity ) ) ] )
% 33.29/33.68 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45609, [ =( identity, 'sk_c7' ), =( X, multiply( X, 'sk_c8' ) ) ]
% 33.29/33.68 )
% 33.29/33.68 , clause( 45563, [ =( X, multiply( X, 'sk_c8' ) ), =( 'sk_c7', identity ) ]
% 33.29/33.68 )
% 33.29/33.68 , 1, substitution( 0, [ :=( X, X )] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45610, [ =( multiply( X, 'sk_c8' ), X ), =( identity, 'sk_c7' ) ]
% 33.29/33.68 )
% 33.29/33.68 , clause( 45609, [ =( identity, 'sk_c7' ), =( X, multiply( X, 'sk_c8' ) ) ]
% 33.29/33.68 )
% 33.29/33.68 , 1, substitution( 0, [ :=( X, X )] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 subsumption(
% 33.29/33.68 clause( 421, [ =( multiply( X, 'sk_c8' ), X ), =( identity, 'sk_c7' ) ] )
% 33.29/33.68 , clause( 45610, [ =( multiply( X, 'sk_c8' ), X ), =( identity, 'sk_c7' ) ]
% 33.29/33.68 )
% 33.29/33.68 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 33.29/33.68 1 )] ) ).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45611, [ =( 'sk_c8', identity ), =( identity, 'sk_c7' ) ] )
% 33.29/33.68 , clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.29/33.68 , 0, substitution( 0, [] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45614, [ =( X, multiply( X, identity ) ) ] )
% 33.29/33.68 , clause( 271, [ =( multiply( X, identity ), X ) ] )
% 33.29/33.68 , 0, substitution( 0, [ :=( X, X )] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 paramod(
% 33.29/33.68 clause( 45615, [ =( X, multiply( X, 'sk_c7' ) ), =( 'sk_c8', identity ) ]
% 33.29/33.68 )
% 33.29/33.68 , clause( 45611, [ =( 'sk_c8', identity ), =( identity, 'sk_c7' ) ] )
% 33.29/33.68 , 1, clause( 45614, [ =( X, multiply( X, identity ) ) ] )
% 33.29/33.68 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45661, [ =( identity, 'sk_c8' ), =( X, multiply( X, 'sk_c7' ) ) ]
% 33.29/33.68 )
% 33.29/33.68 , clause( 45615, [ =( X, multiply( X, 'sk_c7' ) ), =( 'sk_c8', identity ) ]
% 33.29/33.68 )
% 33.29/33.68 , 1, substitution( 0, [ :=( X, X )] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45662, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ]
% 33.29/33.68 )
% 33.29/33.68 , clause( 45661, [ =( identity, 'sk_c8' ), =( X, multiply( X, 'sk_c7' ) ) ]
% 33.29/33.68 )
% 33.29/33.68 , 1, substitution( 0, [ :=( X, X )] )).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 subsumption(
% 33.29/33.68 clause( 422, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ] )
% 33.29/33.68 , clause( 45662, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ]
% 33.29/33.68 )
% 33.29/33.68 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 33.29/33.68 1 )] ) ).
% 33.29/33.68
% 33.29/33.68
% 33.29/33.68 eqswap(
% 33.29/33.68 clause( 45666, [ =( identity, inverse( identity ) ) ] )
% 33.29/33.68 , clause( 154, [ =( inverse( identity ), identity ) ] )
% 33.29/33.69 , 0, substitution( 0, [] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 paramod(
% 33.29/33.69 clause( 45846, [ =( identity, inverse( 'sk_c7' ) ), =( identity, 'sk_c8' )
% 33.29/33.69 ] )
% 33.29/33.69 , clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.29/33.69 , 1, clause( 45666, [ =( identity, inverse( identity ) ) ] )
% 33.29/33.69 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 paramod(
% 33.29/33.69 clause( 45849, [ =( 'sk_c7', inverse( 'sk_c7' ) ), =( identity, 'sk_c8' ),
% 33.29/33.69 =( identity, 'sk_c8' ) ] )
% 33.29/33.69 , clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.29/33.69 , 1, clause( 45846, [ =( identity, inverse( 'sk_c7' ) ), =( identity,
% 33.29/33.69 'sk_c8' ) ] )
% 33.29/33.69 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 eqswap(
% 33.29/33.69 clause( 45890, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ),
% 33.29/33.69 =( identity, 'sk_c8' ) ] )
% 33.29/33.69 , clause( 45849, [ =( 'sk_c7', inverse( 'sk_c7' ) ), =( identity, 'sk_c8' )
% 33.29/33.69 , =( identity, 'sk_c8' ) ] )
% 33.29/33.69 , 0, substitution( 0, [] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 factor(
% 33.29/33.69 clause( 45993, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.29/33.69 )
% 33.29/33.69 , clause( 45890, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' )
% 33.29/33.69 , =( identity, 'sk_c8' ) ] )
% 33.29/33.69 , 1, 2, substitution( 0, [] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 subsumption(
% 33.29/33.69 clause( 424, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.29/33.69 )
% 33.29/33.69 , clause( 45993, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' )
% 33.29/33.69 ] )
% 33.29/33.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 33.29/33.69 ).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 eqswap(
% 33.29/33.69 clause( 45996, [ =( 'sk_c7', identity ), =( identity, 'sk_c8' ) ] )
% 33.29/33.69 , clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.29/33.69 , 1, substitution( 0, [] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 eqswap(
% 33.29/33.69 clause( 45998, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 33.29/33.69 , clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 33.29/33.69 , 0, substitution( 0, [ :=( X, X )] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 paramod(
% 33.29/33.69 clause( 46478, [ =( X, multiply( inverse( inverse( 'sk_c8' ) ), X ) ), =(
% 33.29/33.69 'sk_c7', identity ) ] )
% 33.29/33.69 , clause( 45996, [ =( 'sk_c7', identity ), =( identity, 'sk_c8' ) ] )
% 33.29/33.69 , 1, clause( 45998, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 33.29/33.69 ] )
% 33.29/33.69 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 paramod(
% 33.29/33.69 clause( 46489, [ =( X, multiply( 'sk_c8', X ) ), =( 'sk_c7', identity ) ]
% 33.29/33.69 )
% 33.29/33.69 , clause( 240, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 33.29/33.69 ) ) ] )
% 33.29/33.69 , 0, clause( 46478, [ =( X, multiply( inverse( inverse( 'sk_c8' ) ), X ) )
% 33.29/33.69 , =( 'sk_c7', identity ) ] )
% 33.29/33.69 , 0, 2, substitution( 0, [ :=( X, 'sk_c8' ), :=( Y, X )] ), substitution( 1
% 33.29/33.69 , [ :=( X, X )] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 eqswap(
% 33.29/33.69 clause( 46491, [ =( identity, 'sk_c7' ), =( X, multiply( 'sk_c8', X ) ) ]
% 33.29/33.69 )
% 33.29/33.69 , clause( 46489, [ =( X, multiply( 'sk_c8', X ) ), =( 'sk_c7', identity ) ]
% 33.29/33.69 )
% 33.29/33.69 , 1, substitution( 0, [ :=( X, X )] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 eqswap(
% 33.29/33.69 clause( 46492, [ =( multiply( 'sk_c8', X ), X ), =( identity, 'sk_c7' ) ]
% 33.29/33.69 )
% 33.29/33.69 , clause( 46491, [ =( identity, 'sk_c7' ), =( X, multiply( 'sk_c8', X ) ) ]
% 33.29/33.69 )
% 33.29/33.69 , 1, substitution( 0, [ :=( X, X )] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 subsumption(
% 33.29/33.69 clause( 425, [ =( identity, 'sk_c7' ), =( multiply( 'sk_c8', X ), X ) ] )
% 33.29/33.69 , clause( 46492, [ =( multiply( 'sk_c8', X ), X ), =( identity, 'sk_c7' ) ]
% 33.29/33.69 )
% 33.29/33.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 33.29/33.69 0 )] ) ).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 eqswap(
% 33.29/33.69 clause( 46493, [ =( 'sk_c8', identity ), =( identity, 'sk_c7' ) ] )
% 33.29/33.69 , clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.29/33.69 , 0, substitution( 0, [] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 eqswap(
% 33.29/33.69 clause( 46496, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 33.29/33.69 , clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 33.29/33.69 , 0, substitution( 0, [ :=( X, X )] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 paramod(
% 33.29/33.69 clause( 46498, [ =( X, multiply( inverse( inverse( 'sk_c7' ) ), X ) ), =(
% 33.29/33.69 'sk_c8', identity ) ] )
% 33.29/33.69 , clause( 46493, [ =( 'sk_c8', identity ), =( identity, 'sk_c7' ) ] )
% 33.29/33.69 , 1, clause( 46496, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 33.29/33.69 ] )
% 33.29/33.69 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 33.29/33.69
% 33.29/33.69
% 33.29/33.69 paramod(
% 33.29/33.69 clause( 46509, [ =( X, multiply( 'sk_c7', X ) ), =( 'sk_c8', identity ) ]
% 33.29/33.69 )
% 33.29/33.69 , clause( 240, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 33.29/33.69 ) ) ] )
% 33.29/33.69 , 0, clause( 46498, [ =( X, multiply( inverse( inverse( 'sk_c7' ) ), X ) )
% 33.36/33.75 , =( 'sk_c8', identity ) ] )
% 33.36/33.75 , 0, 2, substitution( 0, [ :=( X, 'sk_c7' ), :=( Y, X )] ), substitution( 1
% 33.36/33.75 , [ :=( X, X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 46511, [ =( identity, 'sk_c8' ), =( X, multiply( 'sk_c7', X ) ) ]
% 33.36/33.75 )
% 33.36/33.75 , clause( 46509, [ =( X, multiply( 'sk_c7', X ) ), =( 'sk_c8', identity ) ]
% 33.36/33.75 )
% 33.36/33.75 , 1, substitution( 0, [ :=( X, X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 46512, [ =( multiply( 'sk_c7', X ), X ), =( identity, 'sk_c8' ) ]
% 33.36/33.75 )
% 33.36/33.75 , clause( 46511, [ =( identity, 'sk_c8' ), =( X, multiply( 'sk_c7', X ) ) ]
% 33.36/33.75 )
% 33.36/33.75 , 1, substitution( 0, [ :=( X, X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 subsumption(
% 33.36/33.75 clause( 426, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c7', X ), X ) ] )
% 33.36/33.75 , clause( 46512, [ =( multiply( 'sk_c7', X ), X ), =( identity, 'sk_c8' ) ]
% 33.36/33.75 )
% 33.36/33.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 33.36/33.75 0 )] ) ).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 46514, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( inverse( 'sk_c7' ), 'sk_c7'
% 33.36/33.75 ) ] )
% 33.36/33.75 , clause( 376, [ =( inverse( 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' )
% 33.36/33.75 ) ] )
% 33.36/33.75 , 1, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 paramod(
% 33.36/33.75 clause( 46733, [ =( inverse( 'sk_c7' ), 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' )
% 33.36/33.75 ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.36/33.75 , clause( 397, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.36/33.75 , 1, clause( 46514, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( inverse( 'sk_c7' ),
% 33.36/33.75 'sk_c7' ) ] )
% 33.36/33.75 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 paramod(
% 33.36/33.75 clause( 46734, [ =( inverse( 'sk_c6' ), 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' )
% 33.36/33.75 ), ~( =( 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.36/33.75 , clause( 397, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.36/33.75 , 1, clause( 46733, [ =( inverse( 'sk_c7' ), 'sk_c6' ), ~( =( 'sk_c8',
% 33.36/33.75 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.36/33.75 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 46760, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( inverse( 'sk_c6' ), 'sk_c6'
% 33.36/33.75 ), ~( =( 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.36/33.75 , clause( 46734, [ =( inverse( 'sk_c6' ), 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7'
% 33.36/33.75 ) ), ~( =( 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.36/33.75 , 3, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 factor(
% 33.36/33.75 clause( 46816, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( inverse( 'sk_c6' ), 'sk_c6'
% 33.36/33.75 ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.36/33.75 , clause( 46760, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( inverse( 'sk_c6' ),
% 33.36/33.75 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.36/33.75 , 0, 2, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 factor(
% 33.36/33.75 clause( 46817, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( inverse( 'sk_c6' ), 'sk_c6'
% 33.36/33.75 ) ] )
% 33.36/33.75 , clause( 46816, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( inverse( 'sk_c6' ),
% 33.36/33.75 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.36/33.75 , 0, 2, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 subsumption(
% 33.36/33.75 clause( 432, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( inverse( 'sk_c6' ), 'sk_c6' )
% 33.36/33.75 ] )
% 33.36/33.75 , clause( 46817, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( inverse( 'sk_c6' ),
% 33.36/33.75 'sk_c6' ) ] )
% 33.36/33.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 33.36/33.75 ).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 46823, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 33.36/33.75 )
% 33.36/33.75 , clause( 360, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.36/33.75 )
% 33.36/33.75 , 1, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 46825, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 33.36/33.75 , clause( 303, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 33.36/33.75 , 0, substitution( 0, [ :=( X, X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 46827, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c7' ), X ) ]
% 33.36/33.75 )
% 33.36/33.75 , clause( 422, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ]
% 33.36/33.75 )
% 33.36/33.75 , 1, substitution( 0, [ :=( X, X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 paramod(
% 33.36/33.75 clause( 46834, [ =( identity, multiply( 'sk_c5', 'sk_c7' ) ), =( 'sk_c8',
% 33.36/33.75 identity ) ] )
% 33.36/33.75 , clause( 46823, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' )
% 33.36/33.75 ] )
% 33.36/33.75 , 1, clause( 46825, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 33.36/33.75 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 paramod(
% 33.36/33.75 clause( 47764, [ =( identity, 'sk_c5' ), =( 'sk_c8', identity ), =( 'sk_c8'
% 33.36/33.75 , identity ) ] )
% 33.36/33.75 , clause( 46827, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c7' ), X ) ]
% 33.36/33.75 )
% 33.36/33.75 , 1, clause( 46834, [ =( identity, multiply( 'sk_c5', 'sk_c7' ) ), =(
% 33.36/33.75 'sk_c8', identity ) ] )
% 33.36/33.75 , 0, 2, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 factor(
% 33.36/33.75 clause( 47765, [ =( identity, 'sk_c5' ), =( 'sk_c8', identity ) ] )
% 33.36/33.75 , clause( 47764, [ =( identity, 'sk_c5' ), =( 'sk_c8', identity ), =(
% 33.36/33.75 'sk_c8', identity ) ] )
% 33.36/33.75 , 1, 2, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 paramod(
% 33.36/33.75 clause( 47850, [ =( 'sk_c7', 'sk_c5' ), =( identity, 'sk_c8' ), =( 'sk_c8'
% 33.36/33.75 , identity ) ] )
% 33.36/33.75 , clause( 366, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.36/33.75 , 1, clause( 47765, [ =( identity, 'sk_c5' ), =( 'sk_c8', identity ) ] )
% 33.36/33.75 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 47886, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ), =( identity
% 33.36/33.75 , 'sk_c8' ) ] )
% 33.36/33.75 , clause( 47850, [ =( 'sk_c7', 'sk_c5' ), =( identity, 'sk_c8' ), =(
% 33.36/33.75 'sk_c8', identity ) ] )
% 33.36/33.75 , 2, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 factor(
% 33.36/33.75 clause( 48083, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 33.36/33.75 , clause( 47886, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ), =(
% 33.36/33.75 identity, 'sk_c8' ) ] )
% 33.36/33.75 , 0, 2, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 subsumption(
% 33.36/33.75 clause( 485, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 33.36/33.75 , clause( 48083, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 33.36/33.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 33.36/33.75 ).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 48085, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 33.36/33.75 )
% 33.36/33.75 , clause( 360, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.36/33.75 )
% 33.36/33.75 , 1, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 48087, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 33.36/33.75 ) ) ] )
% 33.36/33.75 , clause( 240, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 33.36/33.75 ) ) ] )
% 33.36/33.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 48089, [ =( 'sk_c8', identity ), =( inverse( 'sk_c7' ), 'sk_c7' ) ]
% 33.36/33.75 )
% 33.36/33.75 , clause( 424, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.36/33.75 )
% 33.36/33.75 , 1, substitution( 0, [] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 paramod(
% 33.36/33.75 clause( 48094, [ =( multiply( 'sk_c5', X ), multiply( inverse( 'sk_c7' ), X
% 33.36/33.75 ) ), =( 'sk_c8', identity ) ] )
% 33.36/33.75 , clause( 48085, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' )
% 33.36/33.75 ] )
% 33.36/33.75 , 1, clause( 48087, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 33.36/33.75 ), Y ) ) ] )
% 33.36/33.75 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' ), :=( Y,
% 33.36/33.75 X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 paramod(
% 33.36/33.75 clause( 48096, [ =( multiply( 'sk_c5', X ), multiply( 'sk_c7', X ) ), =(
% 33.36/33.75 'sk_c8', identity ), =( 'sk_c8', identity ) ] )
% 33.36/33.75 , clause( 48089, [ =( 'sk_c8', identity ), =( inverse( 'sk_c7' ), 'sk_c7' )
% 33.36/33.75 ] )
% 33.36/33.75 , 1, clause( 48094, [ =( multiply( 'sk_c5', X ), multiply( inverse( 'sk_c7'
% 33.36/33.75 ), X ) ), =( 'sk_c8', identity ) ] )
% 33.36/33.75 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 factor(
% 33.36/33.75 clause( 48097, [ =( multiply( 'sk_c5', X ), multiply( 'sk_c7', X ) ), =(
% 33.36/33.75 'sk_c8', identity ) ] )
% 33.36/33.75 , clause( 48096, [ =( multiply( 'sk_c5', X ), multiply( 'sk_c7', X ) ), =(
% 33.36/33.75 'sk_c8', identity ), =( 'sk_c8', identity ) ] )
% 33.36/33.75 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 paramod(
% 33.36/33.75 clause( 48107, [ =( multiply( 'sk_c5', X ), X ), =( identity, 'sk_c8' ),
% 33.36/33.75 =( 'sk_c8', identity ) ] )
% 33.36/33.75 , clause( 426, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c7', X ), X ) ]
% 33.36/33.75 )
% 33.36/33.75 , 1, clause( 48097, [ =( multiply( 'sk_c5', X ), multiply( 'sk_c7', X ) ),
% 33.36/33.75 =( 'sk_c8', identity ) ] )
% 33.36/33.75 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 33.36/33.75 ).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 48173, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ),
% 33.36/33.75 =( identity, 'sk_c8' ) ] )
% 33.36/33.75 , clause( 48107, [ =( multiply( 'sk_c5', X ), X ), =( identity, 'sk_c8' ),
% 33.36/33.75 =( 'sk_c8', identity ) ] )
% 33.36/33.75 , 2, substitution( 0, [ :=( X, X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 factor(
% 33.36/33.75 clause( 48179, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ) ]
% 33.36/33.75 )
% 33.36/33.75 , clause( 48173, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ),
% 33.36/33.75 =( identity, 'sk_c8' ) ] )
% 33.36/33.75 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 subsumption(
% 33.36/33.75 clause( 487, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ) ] )
% 33.36/33.75 , clause( 48179, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ) ]
% 33.36/33.75 )
% 33.36/33.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 33.36/33.75 1 )] ) ).
% 33.36/33.75
% 33.36/33.75
% 33.36/33.75 eqswap(
% 33.36/33.75 clause( 48229, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 35.13/35.51 )
% 35.13/35.51 , clause( 360, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 35.13/35.51 )
% 35.13/35.51 , 1, substitution( 0, [] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 eqswap(
% 35.13/35.51 clause( 48231, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 35.13/35.51 Y ) ), Y ) ) ] )
% 35.13/35.51 , clause( 46, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 35.13/35.51 , identity ) ) ] )
% 35.13/35.51 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 eqswap(
% 35.13/35.51 clause( 48233, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c7' ), X ) ]
% 35.13/35.51 )
% 35.13/35.51 , clause( 422, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ]
% 35.13/35.51 )
% 35.13/35.51 , 1, substitution( 0, [ :=( X, X )] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 paramod(
% 35.13/35.51 clause( 48238, [ =( multiply( X, identity ), multiply( multiply( X, 'sk_c7'
% 35.13/35.51 ), 'sk_c5' ) ), =( 'sk_c8', identity ) ] )
% 35.13/35.51 , clause( 48229, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' )
% 35.13/35.51 ] )
% 35.13/35.51 , 1, clause( 48231, [ =( multiply( X, identity ), multiply( multiply( X,
% 35.13/35.51 inverse( Y ) ), Y ) ) ] )
% 35.13/35.51 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 35.13/35.51 'sk_c5' )] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 paramod(
% 35.13/35.51 clause( 48247, [ =( multiply( X, identity ), multiply( X, 'sk_c5' ) ), =(
% 35.13/35.51 'sk_c8', identity ), =( 'sk_c8', identity ) ] )
% 35.13/35.51 , clause( 48233, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c7' ), X ) ]
% 35.13/35.51 )
% 35.13/35.51 , 1, clause( 48238, [ =( multiply( X, identity ), multiply( multiply( X,
% 35.13/35.51 'sk_c7' ), 'sk_c5' ) ), =( 'sk_c8', identity ) ] )
% 35.13/35.51 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 35.13/35.51 ).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 factor(
% 35.13/35.51 clause( 48248, [ =( multiply( X, identity ), multiply( X, 'sk_c5' ) ), =(
% 35.13/35.51 'sk_c8', identity ) ] )
% 35.13/35.51 , clause( 48247, [ =( multiply( X, identity ), multiply( X, 'sk_c5' ) ),
% 35.13/35.51 =( 'sk_c8', identity ), =( 'sk_c8', identity ) ] )
% 35.13/35.51 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 paramod(
% 35.13/35.51 clause( 48249, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c8', identity ) ]
% 35.13/35.51 )
% 35.13/35.51 , clause( 271, [ =( multiply( X, identity ), X ) ] )
% 35.13/35.51 , 0, clause( 48248, [ =( multiply( X, identity ), multiply( X, 'sk_c5' ) )
% 35.13/35.51 , =( 'sk_c8', identity ) ] )
% 35.13/35.51 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 35.13/35.51 ).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 eqswap(
% 35.13/35.51 clause( 48251, [ =( identity, 'sk_c8' ), =( X, multiply( X, 'sk_c5' ) ) ]
% 35.13/35.51 )
% 35.13/35.51 , clause( 48249, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c8', identity ) ]
% 35.13/35.51 )
% 35.13/35.51 , 1, substitution( 0, [ :=( X, X )] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 eqswap(
% 35.13/35.51 clause( 48252, [ =( multiply( X, 'sk_c5' ), X ), =( identity, 'sk_c8' ) ]
% 35.13/35.51 )
% 35.13/35.51 , clause( 48251, [ =( identity, 'sk_c8' ), =( X, multiply( X, 'sk_c5' ) ) ]
% 35.13/35.51 )
% 35.13/35.51 , 1, substitution( 0, [ :=( X, X )] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 subsumption(
% 35.13/35.51 clause( 488, [ =( identity, 'sk_c8' ), =( multiply( X, 'sk_c5' ), X ) ] )
% 35.13/35.51 , clause( 48252, [ =( multiply( X, 'sk_c5' ), X ), =( identity, 'sk_c8' ) ]
% 35.13/35.51 )
% 35.13/35.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 35.13/35.51 0 )] ) ).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 eqswap(
% 35.13/35.51 clause( 48253, [ =( 'sk_c8', identity ), =( 'sk_c7', 'sk_c5' ) ] )
% 35.13/35.51 , clause( 485, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 35.13/35.51 , 0, substitution( 0, [] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 eqswap(
% 35.13/35.51 clause( 48256, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c7' ) ), =( multiply(
% 35.13/35.51 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 35.13/35.51 , clause( 12, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 35.13/35.51 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 35.13/35.51 , 0, substitution( 0, [] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 eqswap(
% 35.13/35.51 clause( 48259, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c5' ), X ) ]
% 35.13/35.51 )
% 35.13/35.51 , clause( 488, [ =( identity, 'sk_c8' ), =( multiply( X, 'sk_c5' ), X ) ]
% 35.13/35.51 )
% 35.13/35.51 , 0, substitution( 0, [ :=( X, X )] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 paramod(
% 35.13/35.51 clause( 48266, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c8' ), =( 'sk_c8',
% 35.13/35.51 identity ), =( 'sk_c8', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 35.13/35.51 , clause( 48253, [ =( 'sk_c8', identity ), =( 'sk_c7', 'sk_c5' ) ] )
% 35.13/35.51 , 1, clause( 48256, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c7' ) ), =(
% 35.13/35.51 multiply( 'sk_c6', 'sk_c7' ), 'sk_c8' ) ] )
% 35.13/35.51 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 35.13/35.51
% 35.13/35.51
% 35.13/35.51 paramod(
% 35.13/35.51 clause( 48267, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c5' ) ), =( 'sk_c8',
% 35.13/35.51 identity ), =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c8' ), =( 'sk_c8',
% 35.13/35.51 identity ) ] )
% 35.13/35.51 , clause( 48253, [ =( 'sk_c8', identity ), =( 'sk_c7', 'sk_c5' ) ] )
% 35.13/35.51 , 1, clause( 48266, [ =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c8' ), =(
% 35.13/35.51 'sk_c8', identity ), =( 'sk_c8', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 36.86/37.26 , 2, 4, substitution( 0, [] ), substitution( 1, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 factor(
% 36.86/37.26 clause( 48268, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c5' ) ), =( 'sk_c8',
% 36.86/37.26 identity ), =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c8' ) ] )
% 36.86/37.26 , clause( 48267, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c5' ) ), =( 'sk_c8',
% 36.86/37.26 identity ), =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c8' ), =( 'sk_c8',
% 36.86/37.26 identity ) ] )
% 36.86/37.26 , 1, 3, substitution( 0, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 paramod(
% 36.86/37.26 clause( 65821, [ =( 'sk_c6', 'sk_c8' ), =( 'sk_c8', identity ), =( 'sk_c8'
% 36.86/37.26 , multiply( 'sk_c1', 'sk_c5' ) ), =( 'sk_c8', identity ) ] )
% 36.86/37.26 , clause( 48259, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c5' ), X ) ]
% 36.86/37.26 )
% 36.86/37.26 , 1, clause( 48268, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c5' ) ), =(
% 36.86/37.26 'sk_c8', identity ), =( multiply( 'sk_c6', 'sk_c5' ), 'sk_c8' ) ] )
% 36.86/37.26 , 2, 1, substitution( 0, [ :=( X, 'sk_c6' )] ), substitution( 1, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 factor(
% 36.86/37.26 clause( 65826, [ =( 'sk_c6', 'sk_c8' ), =( 'sk_c8', identity ), =( 'sk_c8'
% 36.86/37.26 , multiply( 'sk_c1', 'sk_c5' ) ) ] )
% 36.86/37.26 , clause( 65821, [ =( 'sk_c6', 'sk_c8' ), =( 'sk_c8', identity ), =(
% 36.86/37.26 'sk_c8', multiply( 'sk_c1', 'sk_c5' ) ), =( 'sk_c8', identity ) ] )
% 36.86/37.26 , 1, 3, substitution( 0, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 paramod(
% 36.86/37.26 clause( 65844, [ =( 'sk_c8', 'sk_c1' ), =( identity, 'sk_c8' ), =( 'sk_c6'
% 36.86/37.26 , 'sk_c8' ), =( 'sk_c8', identity ) ] )
% 36.86/37.26 , clause( 488, [ =( identity, 'sk_c8' ), =( multiply( X, 'sk_c5' ), X ) ]
% 36.86/37.26 )
% 36.86/37.26 , 1, clause( 65826, [ =( 'sk_c6', 'sk_c8' ), =( 'sk_c8', identity ), =(
% 36.86/37.26 'sk_c8', multiply( 'sk_c1', 'sk_c5' ) ) ] )
% 36.86/37.26 , 2, 2, substitution( 0, [ :=( X, 'sk_c1' )] ), substitution( 1, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 eqswap(
% 36.86/37.26 clause( 65975, [ =( identity, 'sk_c8' ), =( 'sk_c8', 'sk_c1' ), =( identity
% 36.86/37.26 , 'sk_c8' ), =( 'sk_c6', 'sk_c8' ) ] )
% 36.86/37.26 , clause( 65844, [ =( 'sk_c8', 'sk_c1' ), =( identity, 'sk_c8' ), =(
% 36.86/37.26 'sk_c6', 'sk_c8' ), =( 'sk_c8', identity ) ] )
% 36.86/37.26 , 3, substitution( 0, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 eqswap(
% 36.86/37.26 clause( 65977, [ =( 'sk_c8', 'sk_c6' ), =( identity, 'sk_c8' ), =( 'sk_c8'
% 36.86/37.26 , 'sk_c1' ), =( identity, 'sk_c8' ) ] )
% 36.86/37.26 , clause( 65975, [ =( identity, 'sk_c8' ), =( 'sk_c8', 'sk_c1' ), =(
% 36.86/37.26 identity, 'sk_c8' ), =( 'sk_c6', 'sk_c8' ) ] )
% 36.86/37.26 , 3, substitution( 0, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 eqswap(
% 36.86/37.26 clause( 65978, [ =( 'sk_c1', 'sk_c8' ), =( 'sk_c8', 'sk_c6' ), =( identity
% 36.86/37.26 , 'sk_c8' ), =( identity, 'sk_c8' ) ] )
% 36.86/37.26 , clause( 65977, [ =( 'sk_c8', 'sk_c6' ), =( identity, 'sk_c8' ), =(
% 36.86/37.26 'sk_c8', 'sk_c1' ), =( identity, 'sk_c8' ) ] )
% 36.86/37.26 , 2, substitution( 0, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 factor(
% 36.86/37.26 clause( 65987, [ =( 'sk_c1', 'sk_c8' ), =( 'sk_c8', 'sk_c6' ), =( identity
% 36.86/37.26 , 'sk_c8' ) ] )
% 36.86/37.26 , clause( 65978, [ =( 'sk_c1', 'sk_c8' ), =( 'sk_c8', 'sk_c6' ), =(
% 36.86/37.26 identity, 'sk_c8' ), =( identity, 'sk_c8' ) ] )
% 36.86/37.26 , 2, 3, substitution( 0, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 subsumption(
% 36.86/37.26 clause( 508, [ =( identity, 'sk_c8' ), =( 'sk_c1', 'sk_c8' ), =( 'sk_c8',
% 36.86/37.26 'sk_c6' ) ] )
% 36.86/37.26 , clause( 65987, [ =( 'sk_c1', 'sk_c8' ), =( 'sk_c8', 'sk_c6' ), =(
% 36.86/37.26 identity, 'sk_c8' ) ] )
% 36.86/37.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 36.86/37.26 , 0 )] ) ).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 eqswap(
% 36.86/37.26 clause( 66086, [ =( 'sk_c8', identity ), =( 'sk_c7', 'sk_c5' ) ] )
% 36.86/37.26 , clause( 485, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 36.86/37.26 , 0, substitution( 0, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 eqswap(
% 36.86/37.26 clause( 66089, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c7' ) ), =( multiply(
% 36.86/37.26 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 36.86/37.26 , clause( 10, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 36.86/37.26 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 36.86/37.26 , 0, substitution( 0, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 eqswap(
% 36.86/37.26 clause( 66092, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c5' ), X ) ]
% 36.86/37.26 )
% 36.86/37.26 , clause( 488, [ =( identity, 'sk_c8' ), =( multiply( X, 'sk_c5' ), X ) ]
% 36.86/37.26 )
% 36.86/37.26 , 0, substitution( 0, [ :=( X, X )] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 paramod(
% 36.86/37.26 clause( 66099, [ =( multiply( 'sk_c5', 'sk_c5' ), 'sk_c6' ), =( 'sk_c8',
% 36.86/37.26 identity ), =( 'sk_c8', multiply( 'sk_c1', 'sk_c7' ) ) ] )
% 36.86/37.26 , clause( 66086, [ =( 'sk_c8', identity ), =( 'sk_c7', 'sk_c5' ) ] )
% 36.86/37.26 , 1, clause( 66089, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c7' ) ), =(
% 36.86/37.26 multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 36.86/37.26 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 36.86/37.26
% 36.86/37.26
% 36.86/37.26 paramod(
% 36.86/37.26 clause( 66100, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c5' ) ), =( 'sk_c8',
% 36.86/37.26 identity ), =( multiply(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------