TSTP Solution File: GRP320-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP320-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:36:30 EDT 2022
% Result : Unsatisfiable 1.10s 1.50s
% Output : Refutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP320-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Mon Jun 13 21:05:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.10/1.50 *** allocated 10000 integers for termspace/termends
% 1.10/1.50 *** allocated 10000 integers for clauses
% 1.10/1.50 *** allocated 10000 integers for justifications
% 1.10/1.50 Bliksem 1.12
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 Automatic Strategy Selection
% 1.10/1.50
% 1.10/1.50 Clauses:
% 1.10/1.50 [
% 1.10/1.50 [ =( multiply( identity, X ), X ) ],
% 1.10/1.50 [ =( multiply( inverse( X ), X ), identity ) ],
% 1.10/1.50 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 1.10/1.50 ],
% 1.10/1.50 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 1.10/1.50 'sk_c8' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply( 'sk_c5',
% 1.10/1.50 'sk_c7' ), 'sk_c6' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 1.10/1.50 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply( 'sk_c6',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 1.10/1.50 'sk_c8' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply( 'sk_c5',
% 1.10/1.50 'sk_c7' ), 'sk_c6' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse( 'sk_c5' ),
% 1.10/1.50 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply( 'sk_c6',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ],
% 1.10/1.50 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 1.10/1.50 'sk_c7' ) ],
% 1.10/1.50 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ), 'sk_c8' ) ]
% 1.10/1.50 ,
% 1.10/1.50 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5', 'sk_c7' ),
% 1.10/1.50 'sk_c6' ) ],
% 1.10/1.50 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 1.10/1.50 ,
% 1.10/1.50 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6', 'sk_c8' ),
% 1.10/1.50 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 1.10/1.50 'sk_c8' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 1.10/1.50 'sk_c7' ), 'sk_c6' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 1.10/1.50 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse( 'sk_c4' ),
% 1.10/1.50 'sk_c8' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply( 'sk_c5',
% 1.10/1.50 'sk_c7' ), 'sk_c6' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse( 'sk_c5' ),
% 1.10/1.50 'sk_c7' ) ],
% 1.10/1.50 [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply( 'sk_c6',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ],
% 1.10/1.50 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 1.10/1.50 'sk_c7' ) ],
% 1.10/1.50 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' ) ]
% 1.10/1.50 ,
% 1.10/1.50 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c5', 'sk_c7' ),
% 1.10/1.50 'sk_c6' ) ],
% 1.10/1.50 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 1.10/1.50 ,
% 1.10/1.50 [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c6', 'sk_c8' ),
% 1.10/1.50 'sk_c7' ) ],
% 1.10/1.50 [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =( multiply( X,
% 1.10/1.50 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply(
% 1.10/1.50 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y ) ), ~( =(
% 1.10/1.50 inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ), 'sk_c7' ) ), ~(
% 1.10/1.50 =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7' ), 'sk_c6' ) ),
% 1.10/1.50 ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c8' ),
% 1.10/1.50 'sk_c7' ) ) ]
% 1.10/1.50 ] .
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 percentage equality = 1.000000, percentage horn = 0.117647
% 1.10/1.50 This is a pure equality problem
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 Options Used:
% 1.10/1.50
% 1.10/1.50 useres = 1
% 1.10/1.50 useparamod = 1
% 1.10/1.50 useeqrefl = 1
% 1.10/1.50 useeqfact = 1
% 1.10/1.50 usefactor = 1
% 1.10/1.50 usesimpsplitting = 0
% 1.10/1.50 usesimpdemod = 5
% 1.10/1.50 usesimpres = 3
% 1.10/1.50
% 1.10/1.50 resimpinuse = 1000
% 1.10/1.50 resimpclauses = 20000
% 1.10/1.50 substype = eqrewr
% 1.10/1.50 backwardsubs = 1
% 1.10/1.50 selectoldest = 5
% 1.10/1.50
% 1.10/1.50 litorderings [0] = split
% 1.10/1.50 litorderings [1] = extend the termordering, first sorting on arguments
% 1.10/1.50
% 1.10/1.50 termordering = kbo
% 1.10/1.50
% 1.10/1.50 litapriori = 0
% 1.10/1.50 termapriori = 1
% 1.10/1.50 litaposteriori = 0
% 1.10/1.50 termaposteriori = 0
% 1.10/1.50 demodaposteriori = 0
% 1.10/1.50 ordereqreflfact = 0
% 1.10/1.50
% 1.10/1.50 litselect = negord
% 1.10/1.50
% 1.10/1.50 maxweight = 15
% 1.10/1.50 maxdepth = 30000
% 1.10/1.50 maxlength = 115
% 1.10/1.50 maxnrvars = 195
% 1.10/1.50 excuselevel = 1
% 1.10/1.50 increasemaxweight = 1
% 1.10/1.50
% 1.10/1.50 maxselected = 10000000
% 1.10/1.50 maxnrclauses = 10000000
% 1.10/1.50
% 1.10/1.50 showgenerated = 0
% 1.10/1.50 showkept = 0
% 1.10/1.50 showselected = 0
% 1.10/1.50 showdeleted = 0
% 1.10/1.50 showresimp = 1
% 1.10/1.50 showstatus = 2000
% 1.10/1.50
% 1.10/1.50 prologoutput = 1
% 1.10/1.50 nrgoals = 5000000
% 1.10/1.50 totalproof = 1
% 1.10/1.50
% 1.10/1.50 Symbols occurring in the translation:
% 1.10/1.50
% 1.10/1.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.10/1.50 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 1.10/1.50 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 1.10/1.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.10/1.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.10/1.50 identity [39, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.10/1.50 multiply [41, 2] (w:1, o:57, a:1, s:1, b:0),
% 1.10/1.50 inverse [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.10/1.50 'sk_c7' [45, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.10/1.50 'sk_c8' [46, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.10/1.50 'sk_c6' [47, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.10/1.50 'sk_c4' [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.10/1.50 'sk_c5' [49, 0] (w:1, o:5, a:1, s:1, b:0),
% 1.10/1.50 'sk_c1' [50, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.10/1.50 'sk_c3' [51, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.10/1.50 'sk_c2' [52, 0] (w:1, o:9, a:1, s:1, b:0).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 Starting Search:
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 Bliksems!, er is een bewijs:
% 1.10/1.50 % SZS status Unsatisfiable
% 1.10/1.50 % SZS output start Refutation
% 1.10/1.50
% 1.10/1.50 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.10/1.50 , Z ) ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 5, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 6, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 7, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 1.10/1.50 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 1.10/1.50 'sk_c4' ), 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 10, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 13, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 1.10/1.50 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 1.10/1.50 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 1.10/1.50 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 18, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 19, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 1.10/1.50 'sk_c4' ), 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 22, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 1.10/1.50 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 23, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 24, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 1.10/1.50 'sk_c4' ), 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 28, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 29, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 1.10/1.50 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 33, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 1.10/1.50 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 1.10/1.50 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 1.10/1.50 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 1.10/1.50 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 1.10/1.50 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 1.10/1.50 , 'sk_c8' ), 'sk_c7' ) ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 34, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 1.10/1.50 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 1.10/1.50 =( multiply( 'sk_c8', 'sk_c8' ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c8'
% 1.10/1.50 ), 'sk_c8' ) ), ~( =( inverse( Y ), 'sk_c8' ) ), ~( =( inverse( 'sk_c8'
% 1.10/1.50 ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 1.10/1.50 Z ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c8' ), 'sk_c7' ) ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 45, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 1.10/1.50 , identity ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 46, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 1.10/1.50 identity ) ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 47, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 1.10/1.50 ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 71, [ =( multiply( 'sk_c8', 'sk_c2' ), identity ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 81, [ =( multiply( 'sk_c8', 'sk_c4' ), identity ), =( multiply(
% 1.10/1.50 'sk_c8', 'sk_c3' ), 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 83, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 1.10/1.50 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 87, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 96, [ =( multiply( inverse( identity ), X ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 97, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 1.10/1.50 multiply( Y, X ) ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 154, [ =( inverse( identity ), identity ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 157, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 237, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 1.10/1.50 ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 268, [ =( multiply( X, identity ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 300, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 301, [ =( inverse( inverse( X ) ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 335, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 1.10/1.50 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 343, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( 'sk_c3',
% 1.10/1.50 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 355, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 1.10/1.50 )
% 1.10/1.50 .
% 1.10/1.50 clause( 357, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 1.10/1.50 )
% 1.10/1.50 .
% 1.10/1.50 clause( 359, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( 'sk_c3', 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 370, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 371, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 372, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) ) ]
% 1.10/1.50 )
% 1.10/1.50 .
% 1.10/1.50 clause( 374, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( multiply( 'sk_c7', X ), X ) ]
% 1.10/1.50 )
% 1.10/1.50 .
% 1.10/1.50 clause( 385, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 1.10/1.50 'sk_c7', 'sk_c5' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 386, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 1.10/1.50 'sk_c6', 'sk_c5' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 395, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 414, [ =( multiply( X, 'sk_c8' ), X ), =( identity, 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 415, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 417, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 1.10/1.50 )
% 1.10/1.50 .
% 1.10/1.50 clause( 419, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c7', X ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 478, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 480, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 481, [ =( identity, 'sk_c8' ), =( multiply( X, 'sk_c5' ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 498, [ =( identity, 'sk_c8' ), =( 'sk_c1', 'sk_c8' ), =( 'sk_c6',
% 1.10/1.50 'sk_c5' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 499, [ =( 'sk_c6', 'sk_c5' ), =( identity, 'sk_c8' ), =( 'sk_c8',
% 1.10/1.50 'sk_c5' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 501, [ =( identity, 'sk_c8' ), =( 'sk_c6', 'sk_c5' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 610, [ =( 'sk_c3', 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 611, [ =( inverse( 'sk_c8' ), 'sk_c4' ), =( 'sk_c3', 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 627, [ =( identity, 'sk_c7' ), =( 'sk_c7', 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 639, [ =( 'sk_c8', 'sk_c7' ), =( 'sk_c6', 'sk_c5' ), =( 'sk_c7',
% 1.10/1.50 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 640, [ =( 'sk_c8', 'sk_c7' ), =( 'sk_c7', 'sk_c5' ), =( 'sk_c7',
% 1.10/1.50 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 660, [ =( 'sk_c7', 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 686, [ =( multiply( 'sk_c6', 'sk_c8' ), 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 694, [ =( identity, 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 696, [ =( 'sk_c3', 'sk_c8' ), =( 'sk_c8', 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 697, [ =( 'sk_c8', 'sk_c6' ), ~( =( 'sk_c8', 'sk_c6' ) ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 698, [ =( multiply( X, 'sk_c8' ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 699, [ =( inverse( 'sk_c8' ), 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 700, [ =( multiply( 'sk_c8', X ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 705, [ =( 'sk_c3', 'sk_c2' ), =( 'sk_c4', 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 706, [ =( 'sk_c4', 'sk_c6' ), =( 'sk_c2', 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 707, [ =( 'sk_c4', 'sk_c6' ), =( 'sk_c8', 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 716, [ =( 'sk_c3', 'sk_c6' ), =( 'sk_c4', 'sk_c8' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 719, [ =( 'sk_c8', 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 720, [ =( multiply( 'sk_c6', X ), X ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 722, [ =( inverse( 'sk_c6' ), 'sk_c6' ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 727, [ ~( =( Y, 'sk_c6' ) ), ~( =( inverse( Y ), 'sk_c6' ) ), ~(
% 1.10/1.50 =( X, 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c6' ) ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 728, [ ~( =( X, 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c6' ) ) ] )
% 1.10/1.50 .
% 1.10/1.50 clause( 729, [] )
% 1.10/1.50 .
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 % SZS output end Refutation
% 1.10/1.50 found a proof!
% 1.10/1.50
% 1.10/1.50 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.10/1.50
% 1.10/1.50 initialclauses(
% 1.10/1.50 [ clause( 731, [ =( multiply( identity, X ), X ) ] )
% 1.10/1.50 , clause( 732, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.10/1.50 , clause( 733, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.10/1.50 Y, Z ) ) ) ] )
% 1.10/1.50 , clause( 734, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 735, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 1.10/1.50 'sk_c4' ), 'sk_c8' ) ] )
% 1.10/1.50 , clause( 736, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , clause( 737, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 738, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 1.10/1.50 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 739, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 740, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 1.10/1.50 'sk_c4' ), 'sk_c8' ) ] )
% 1.10/1.50 , clause( 741, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , clause( 742, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 743, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 1.10/1.50 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 744, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 745, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 1.10/1.50 'sk_c8' ) ] )
% 1.10/1.50 , clause( 746, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 1.10/1.50 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , clause( 747, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 1.10/1.50 'sk_c7' ) ] )
% 1.10/1.50 , clause( 748, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 749, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 750, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 1.10/1.50 'sk_c4' ), 'sk_c8' ) ] )
% 1.10/1.50 , clause( 751, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , clause( 752, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 753, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 1.10/1.50 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 754, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 755, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 1.10/1.50 'sk_c4' ), 'sk_c8' ) ] )
% 1.10/1.50 , clause( 756, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , clause( 757, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 758, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 1.10/1.50 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 759, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 760, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 1.10/1.50 'sk_c8' ) ] )
% 1.10/1.50 , clause( 761, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c5',
% 1.10/1.50 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , clause( 762, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c5' ),
% 1.10/1.50 'sk_c7' ) ] )
% 1.10/1.50 , clause( 763, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c6',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 764, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 1.10/1.50 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 1.10/1.50 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 1.10/1.50 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 1.10/1.50 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 1.10/1.50 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 1.10/1.50 , 'sk_c8' ), 'sk_c7' ) ) ] )
% 1.10/1.50 ] ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.10/1.50 , clause( 731, [ =( multiply( identity, X ), X ) ] )
% 1.10/1.50 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.10/1.50 , clause( 732, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.10/1.50 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 eqswap(
% 1.10/1.50 clause( 770, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.10/1.50 ), Z ) ) ] )
% 1.10/1.50 , clause( 733, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.10/1.50 Y, Z ) ) ) ] )
% 1.10/1.50 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.10/1.50 , Z ) ) ] )
% 1.10/1.50 , clause( 770, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 1.10/1.50 , Y ), Z ) ) ] )
% 1.10/1.50 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.50 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 5, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , clause( 736, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.10/1.50 ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 6, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 737, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.10/1.50 ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 7, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 1.10/1.50 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 738, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 1.10/1.50 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.10/1.50 ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 739, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 1.10/1.50 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.10/1.50 ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 1.10/1.50 'sk_c4' ), 'sk_c8' ) ] )
% 1.10/1.50 , clause( 740, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 1.10/1.50 'sk_c4' ), 'sk_c8' ) ] )
% 1.10/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.10/1.50 ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 10, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , clause( 741, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 1.10/1.50 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 1.10/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.10/1.50 ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 742, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 1.10/1.50 'sk_c5' ), 'sk_c7' ) ] )
% 1.10/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.10/1.50 ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 1.10/1.50 clause( 13, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , clause( 744, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.10/1.50 'sk_c8' ), 'sk_c7' ) ] )
% 1.10/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.10/1.50 ).
% 1.10/1.50
% 1.10/1.50
% 1.10/1.50 subsumption(
% 32.78/33.22 clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 32.78/33.22 'sk_c8' ) ] )
% 32.78/33.22 , clause( 745, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 32.78/33.22 'sk_c8' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 32.78/33.22 'sk_c7' ), 'sk_c6' ) ] )
% 32.78/33.22 , clause( 746, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 32.78/33.22 'sk_c7' ), 'sk_c6' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 32.78/33.22 'sk_c7' ) ] )
% 32.78/33.22 , clause( 747, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 32.78/33.22 'sk_c7' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 18, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 32.78/33.22 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 749, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 32.78/33.22 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 19, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 32.78/33.22 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.22 , clause( 750, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 32.78/33.22 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 22, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 32.78/33.22 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 753, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( multiply(
% 32.78/33.22 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 23, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 32.78/33.22 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 754, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 32.78/33.22 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 24, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 32.78/33.22 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.22 , clause( 755, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 32.78/33.22 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 28, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 32.78/33.22 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 759, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 32.78/33.22 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 29, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 32.78/33.22 'sk_c8' ) ] )
% 32.78/33.22 , clause( 760, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 32.78/33.22 'sk_c8' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 33, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.78/33.22 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.78/33.22 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 32.78/33.22 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 32.78/33.22 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 32.78/33.22 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 32.78/33.22 , 'sk_c8' ), 'sk_c7' ) ) ] )
% 32.78/33.22 , clause( 764, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.78/33.22 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.78/33.22 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 32.78/33.22 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 32.78/33.22 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 32.78/33.22 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 32.78/33.22 , 'sk_c8' ), 'sk_c7' ) ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 32.78/33.22 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 32.78/33.22 , 3 ), ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ),
% 32.78/33.22 ==>( 9, 9 ), ==>( 10, 10 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 factor(
% 32.78/33.22 clause( 18818, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.78/33.22 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.78/33.22 =( multiply( 'sk_c8', 'sk_c8' ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c8'
% 32.78/33.22 ), 'sk_c8' ) ), ~( =( inverse( Y ), 'sk_c8' ) ), ~( =( inverse( 'sk_c8'
% 32.78/33.22 ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 32.78/33.22 Z ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c8' ), 'sk_c7' ) ) ] )
% 32.78/33.22 , clause( 33, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.78/33.22 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.78/33.22 =( multiply( 'sk_c8', Y ), 'sk_c7' ) ), ~( =( multiply( Z, 'sk_c8' ), Y )
% 32.78/33.22 ), ~( =( inverse( Z ), 'sk_c8' ) ), ~( =( multiply( T, 'sk_c8' ),
% 32.78/33.22 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c8' ) ), ~( =( multiply( U, 'sk_c7'
% 32.78/33.22 ), 'sk_c6' ) ), ~( =( inverse( U ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6'
% 32.78/33.22 , 'sk_c8' ), 'sk_c7' ) ) ] )
% 32.78/33.22 , 3, 6, substitution( 0, [ :=( X, X ), :=( Y, 'sk_c8' ), :=( Z, Y ), :=( T
% 32.78/33.22 , 'sk_c8' ), :=( U, Z )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 34, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.78/33.22 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.78/33.22 =( multiply( 'sk_c8', 'sk_c8' ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c8'
% 32.78/33.22 ), 'sk_c8' ) ), ~( =( inverse( Y ), 'sk_c8' ) ), ~( =( inverse( 'sk_c8'
% 32.78/33.22 ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 32.78/33.22 Z ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c8' ), 'sk_c7' ) ) ] )
% 32.78/33.22 , clause( 18818, [ ~( =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ), ~( =(
% 32.78/33.22 multiply( X, 'sk_c7' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 32.78/33.22 =( multiply( 'sk_c8', 'sk_c8' ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c8'
% 32.78/33.22 ), 'sk_c8' ) ), ~( =( inverse( Y ), 'sk_c8' ) ), ~( =( inverse( 'sk_c8'
% 32.78/33.22 ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 32.78/33.22 Z ), 'sk_c7' ) ), ~( =( multiply( 'sk_c6', 'sk_c8' ), 'sk_c7' ) ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 32.78/33.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 32.78/33.22 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 8 ), ==>( 9,
% 32.78/33.22 9 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 32968, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 32.78/33.22 Y, Z ) ) ) ] )
% 32.78/33.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 32.78/33.22 ), Z ) ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 32971, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 32.78/33.22 ), identity ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, clause( 32968, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 32.78/33.22 multiply( Y, Z ) ) ) ] )
% 32.78/33.22 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 32.78/33.22 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 45, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 32.78/33.22 , identity ) ] )
% 32.78/33.22 , clause( 32971, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 32.78/33.22 , Y ), identity ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 32.78/33.22 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 32977, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 32.78/33.22 Y, Z ) ) ) ] )
% 32.78/33.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 32.78/33.22 ), Z ) ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 32982, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 32.78/33.22 , identity ) ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, clause( 32977, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 32.78/33.22 multiply( Y, Z ) ) ) ] )
% 32.78/33.22 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 32.78/33.22 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 46, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 32.78/33.22 identity ) ) ] )
% 32.78/33.22 , clause( 32982, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 32.78/33.22 X, identity ) ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 32.78/33.22 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 32987, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 32.78/33.22 Y, Z ) ) ) ] )
% 32.78/33.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 32.78/33.22 ), Z ) ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 32992, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 32.78/33.22 ) ) ] )
% 32.78/33.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 32.78/33.22 , 0, clause( 32987, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 32.78/33.22 multiply( Y, Z ) ) ) ] )
% 32.78/33.22 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 32.78/33.22 :=( Y, identity ), :=( Z, Y )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 47, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 32.78/33.22 ] )
% 32.78/33.22 , clause( 32992, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 32.78/33.22 Y ) ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 32.78/33.22 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 32998, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.78/33.22 'sk_c2' ), 'sk_c8' ) ] )
% 32.78/33.22 , clause( 28, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 32.78/33.22 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33000, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33001, [ =( identity, multiply( 'sk_c8', 'sk_c2' ) ), =( 'sk_c7',
% 32.78/33.22 multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.22 , clause( 32998, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.78/33.22 'sk_c2' ), 'sk_c8' ) ] )
% 32.78/33.22 , 1, clause( 33000, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.78/33.22 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33003, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.78/33.22 multiply( 'sk_c8', 'sk_c2' ) ) ] )
% 32.78/33.22 , clause( 33001, [ =( identity, multiply( 'sk_c8', 'sk_c2' ) ), =( 'sk_c7'
% 32.78/33.22 , multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33004, [ =( multiply( 'sk_c8', 'sk_c2' ), identity ), =( multiply(
% 32.78/33.22 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 33003, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity
% 32.78/33.22 , multiply( 'sk_c8', 'sk_c2' ) ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 71, [ =( multiply( 'sk_c8', 'sk_c2' ), identity ), =( multiply(
% 32.78/33.22 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 33004, [ =( multiply( 'sk_c8', 'sk_c2' ), identity ), =( multiply(
% 32.78/33.22 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33005, [ =( 'sk_c7', multiply( 'sk_c8', 'sk_c3' ) ), =( inverse(
% 32.78/33.22 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.22 , clause( 19, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( inverse(
% 32.78/33.22 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.22 , 0, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33008, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33009, [ =( identity, multiply( 'sk_c8', 'sk_c4' ) ), =( 'sk_c7',
% 32.78/33.22 multiply( 'sk_c8', 'sk_c3' ) ) ] )
% 32.78/33.22 , clause( 33005, [ =( 'sk_c7', multiply( 'sk_c8', 'sk_c3' ) ), =( inverse(
% 32.78/33.22 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.22 , 1, clause( 33008, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.78/33.22 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33011, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( identity,
% 32.78/33.22 multiply( 'sk_c8', 'sk_c4' ) ) ] )
% 32.78/33.22 , clause( 33009, [ =( identity, multiply( 'sk_c8', 'sk_c4' ) ), =( 'sk_c7'
% 32.78/33.22 , multiply( 'sk_c8', 'sk_c3' ) ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33012, [ =( multiply( 'sk_c8', 'sk_c4' ), identity ), =( multiply(
% 32.78/33.22 'sk_c8', 'sk_c3' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 33011, [ =( multiply( 'sk_c8', 'sk_c3' ), 'sk_c7' ), =( identity
% 32.78/33.22 , multiply( 'sk_c8', 'sk_c4' ) ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 81, [ =( multiply( 'sk_c8', 'sk_c4' ), identity ), =( multiply(
% 32.78/33.22 'sk_c8', 'sk_c3' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 33012, [ =( multiply( 'sk_c8', 'sk_c4' ), identity ), =( multiply(
% 32.78/33.22 'sk_c8', 'sk_c3' ), 'sk_c7' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33013, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ), =( inverse(
% 32.78/33.22 'sk_c5' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 6, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( inverse(
% 32.78/33.22 'sk_c5' ), 'sk_c7' ) ] )
% 32.78/33.22 , 0, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33016, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33017, [ =( identity, multiply( 'sk_c7', 'sk_c5' ) ), =( 'sk_c6',
% 32.78/33.22 multiply( 'sk_c7', 'sk_c8' ) ) ] )
% 32.78/33.22 , clause( 33013, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ), =( inverse(
% 32.78/33.22 'sk_c5' ), 'sk_c7' ) ] )
% 32.78/33.22 , 1, clause( 33016, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.78/33.22 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33019, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( identity,
% 32.78/33.22 multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 32.78/33.22 , clause( 33017, [ =( identity, multiply( 'sk_c7', 'sk_c5' ) ), =( 'sk_c6'
% 32.78/33.22 , multiply( 'sk_c7', 'sk_c8' ) ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33020, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 32.78/33.22 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.78/33.22 , clause( 33019, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( identity
% 32.78/33.22 , multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 83, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 32.78/33.22 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.78/33.22 , clause( 33020, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 32.78/33.22 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33022, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ), =( inverse(
% 32.78/33.22 'sk_c1' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 15, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 32.78/33.22 'sk_c7' ), 'sk_c6' ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33024, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33025, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c6',
% 32.78/33.22 multiply( 'sk_c5', 'sk_c7' ) ) ] )
% 32.78/33.22 , clause( 33022, [ =( 'sk_c6', multiply( 'sk_c5', 'sk_c7' ) ), =( inverse(
% 32.78/33.22 'sk_c1' ), 'sk_c7' ) ] )
% 32.78/33.22 , 1, clause( 33024, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 32.78/33.22 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33027, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( identity,
% 32.78/33.22 multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 32.78/33.22 , clause( 33025, [ =( identity, multiply( 'sk_c7', 'sk_c1' ) ), =( 'sk_c6'
% 32.78/33.22 , multiply( 'sk_c5', 'sk_c7' ) ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33028, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 32.78/33.22 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 32.78/33.22 , clause( 33027, [ =( multiply( 'sk_c5', 'sk_c7' ), 'sk_c6' ), =( identity
% 32.78/33.22 , multiply( 'sk_c7', 'sk_c1' ) ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 87, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 32.78/33.22 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 32.78/33.22 , clause( 33028, [ =( multiply( 'sk_c7', 'sk_c1' ), identity ), =( multiply(
% 32.78/33.22 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33030, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 32.78/33.22 ) ) ] )
% 32.78/33.22 , clause( 47, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 32.78/33.22 ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33033, [ =( multiply( inverse( identity ), X ), multiply( identity
% 32.78/33.22 , X ) ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, clause( 33030, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 32.78/33.22 ), Y ) ) ] )
% 32.78/33.22 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 32.78/33.22 inverse( identity ) ), :=( Y, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33034, [ =( multiply( inverse( identity ), X ), X ) ] )
% 32.78/33.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 32.78/33.22 , 0, clause( 33033, [ =( multiply( inverse( identity ), X ), multiply(
% 32.78/33.22 identity, X ) ) ] )
% 32.78/33.22 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 96, [ =( multiply( inverse( identity ), X ), X ) ] )
% 32.78/33.22 , clause( 33034, [ =( multiply( inverse( identity ), X ), X ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33037, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 32.78/33.22 Y, Z ) ) ) ] )
% 32.78/33.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 32.78/33.22 ), Z ) ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33042, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 32.78/33.22 multiply( X, Y ) ) ] )
% 32.78/33.22 , clause( 96, [ =( multiply( inverse( identity ), X ), X ) ] )
% 32.78/33.22 , 0, clause( 33037, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 32.78/33.22 multiply( Y, Z ) ) ) ] )
% 32.78/33.22 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 32.78/33.22 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 97, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 32.78/33.22 multiply( Y, X ) ) ] )
% 32.78/33.22 , clause( 33042, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 32.78/33.22 multiply( X, Y ) ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 32.78/33.22 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33048, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 32.78/33.22 identity ) ), Y ) ) ] )
% 32.78/33.22 , clause( 97, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 32.78/33.22 multiply( Y, X ) ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33051, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 32.78/33.22 identity, X ) ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, clause( 33048, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 32.78/33.22 identity ) ), Y ) ) ] )
% 32.78/33.22 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 32.78/33.22 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33052, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 32.78/33.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 32.78/33.22 , 0, clause( 33051, [ =( multiply( inverse( inverse( identity ) ), X ),
% 32.78/33.22 multiply( identity, X ) ) ] )
% 32.78/33.22 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 32.78/33.22 , clause( 33052, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 32.78/33.22 )
% 32.78/33.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33054, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 32.78/33.22 , clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33056, [ =( inverse( identity ), identity ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, clause( 33054, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 32.78/33.22 ] )
% 32.78/33.22 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 32.78/33.22 , [ :=( X, inverse( identity ) )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 154, [ =( inverse( identity ), identity ) ] )
% 32.78/33.22 , clause( 33056, [ =( inverse( identity ), identity ) ] )
% 32.78/33.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33059, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 32.78/33.22 Y ) ), Y ) ) ] )
% 32.78/33.22 , clause( 46, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 32.78/33.22 , identity ) ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33062, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 32.78/33.22 identity, X ) ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, clause( 33059, [ =( multiply( X, identity ), multiply( multiply( X,
% 32.78/33.22 inverse( Y ) ), Y ) ) ] )
% 32.78/33.22 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 32.78/33.22 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33063, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 32.78/33.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 32.78/33.22 , 0, clause( 33062, [ =( multiply( inverse( inverse( X ) ), identity ),
% 32.78/33.22 multiply( identity, X ) ) ] )
% 32.78/33.22 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 157, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 32.78/33.22 , clause( 33063, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 32.78/33.22 )
% 32.78/33.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33066, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 32.78/33.22 ) ) ] )
% 32.78/33.22 , clause( 47, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 32.78/33.22 ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33069, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 32.78/33.22 ) ) ] )
% 32.78/33.22 , clause( 157, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 32.78/33.22 , 0, clause( 33066, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 32.78/33.22 ), Y ) ) ] )
% 32.78/33.22 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 32.78/33.22 inverse( X ) ) ), :=( Y, Y )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 237, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 32.78/33.22 ) ] )
% 32.78/33.22 , clause( 33069, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 32.78/33.22 Y ) ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 32.78/33.22 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33075, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 32.78/33.22 ) ) ] )
% 32.78/33.22 , clause( 237, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 32.78/33.22 ) ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33078, [ =( multiply( X, identity ), X ) ] )
% 32.78/33.22 , clause( 157, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 32.78/33.22 , 0, clause( 33075, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 32.78/33.22 ), Y ) ) ] )
% 32.78/33.22 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 32.78/33.22 :=( Y, identity )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 268, [ =( multiply( X, identity ), X ) ] )
% 32.78/33.22 , clause( 33078, [ =( multiply( X, identity ), X ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33083, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 32.78/33.22 ) ) ] )
% 32.78/33.22 , clause( 237, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 32.78/33.22 ) ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33086, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.78/33.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 32.78/33.22 , 0, clause( 33083, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 32.78/33.22 ), Y ) ) ] )
% 32.78/33.22 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 32.78/33.22 :=( X, X ), :=( Y, inverse( X ) )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 300, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.78/33.22 , clause( 33086, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33089, [ =( X, multiply( X, identity ) ) ] )
% 32.78/33.22 , clause( 268, [ =( multiply( X, identity ), X ) ] )
% 32.78/33.22 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33092, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 32.78/33.22 , clause( 237, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 32.78/33.22 ) ) ] )
% 32.78/33.22 , 0, clause( 33089, [ =( X, multiply( X, identity ) ) ] )
% 32.78/33.22 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 32.78/33.22 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 paramod(
% 32.78/33.22 clause( 33093, [ =( inverse( inverse( X ) ), X ) ] )
% 32.78/33.22 , clause( 268, [ =( multiply( X, identity ), X ) ] )
% 32.78/33.22 , 0, clause( 33092, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 32.78/33.22 ] )
% 32.78/33.22 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 32.78/33.22 ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 subsumption(
% 32.78/33.22 clause( 301, [ =( inverse( inverse( X ) ), X ) ] )
% 32.78/33.22 , clause( 33093, [ =( inverse( inverse( X ) ), X ) ] )
% 32.78/33.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33096, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.78/33.22 'sk_c1' ), 'sk_c7' ) ] )
% 32.78/33.22 , clause( 13, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 32.78/33.22 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.22 , 1, substitution( 0, [] )).
% 32.78/33.22
% 32.78/33.22
% 32.78/33.22 eqswap(
% 32.78/33.22 clause( 33098, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.22 , clause( 300, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.78/33.23 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 paramod(
% 32.78/33.23 clause( 33102, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 32.78/33.23 multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , clause( 33096, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.78/33.23 'sk_c1' ), 'sk_c7' ) ] )
% 32.78/33.23 , 1, clause( 33098, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.23 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 paramod(
% 32.78/33.23 clause( 33111, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.78/33.23 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , clause( 8, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( multiply(
% 32.78/33.23 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.23 , 0, clause( 33102, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 32.78/33.23 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33131, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.78/33.23 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.23 , clause( 33111, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' )
% 32.78/33.23 , 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , 2, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 factor(
% 32.78/33.23 clause( 33246, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.78/33.23 'sk_c8' ) ] )
% 32.78/33.23 , clause( 33131, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity
% 32.78/33.23 , 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.23 , 0, 2, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 subsumption(
% 32.78/33.23 clause( 335, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.78/33.23 'sk_c8' ) ] )
% 32.78/33.23 , clause( 33246, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity
% 32.78/33.23 , 'sk_c8' ) ] )
% 32.78/33.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.23 ).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33248, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.78/33.23 'sk_c2' ), 'sk_c8' ) ] )
% 32.78/33.23 , clause( 28, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 32.78/33.23 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.23 , 1, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33250, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.23 , clause( 300, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.78/33.23 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33252, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( multiply(
% 32.78/33.23 'sk_c2', 'sk_c8' ), 'sk_c3' ) ] )
% 32.78/33.23 , clause( 23, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( multiply(
% 32.78/33.23 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.23 , 1, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 paramod(
% 32.78/33.23 clause( 33257, [ =( identity, multiply( 'sk_c2', 'sk_c8' ) ), =( 'sk_c7',
% 32.78/33.23 multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , clause( 33248, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( inverse(
% 32.78/33.23 'sk_c2' ), 'sk_c8' ) ] )
% 32.78/33.23 , 1, clause( 33250, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.23 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 paramod(
% 32.78/33.23 clause( 33435, [ =( identity, 'sk_c3' ), =( 'sk_c7', multiply( 'sk_c4',
% 32.78/33.23 'sk_c8' ) ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , clause( 33252, [ =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ), =( multiply(
% 32.78/33.23 'sk_c2', 'sk_c8' ), 'sk_c3' ) ] )
% 32.78/33.23 , 1, clause( 33257, [ =( identity, multiply( 'sk_c2', 'sk_c8' ) ), =(
% 32.78/33.23 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 factor(
% 32.78/33.23 clause( 33436, [ =( identity, 'sk_c3' ), =( 'sk_c7', multiply( 'sk_c4',
% 32.78/33.23 'sk_c8' ) ) ] )
% 32.78/33.23 , clause( 33435, [ =( identity, 'sk_c3' ), =( 'sk_c7', multiply( 'sk_c4',
% 32.78/33.23 'sk_c8' ) ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , 1, 2, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 paramod(
% 32.78/33.23 clause( 33446, [ =( 'sk_c8', 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.78/33.23 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , clause( 335, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.78/33.23 'sk_c8' ) ] )
% 32.78/33.23 , 1, clause( 33436, [ =( identity, 'sk_c3' ), =( 'sk_c7', multiply( 'sk_c4'
% 32.78/33.23 , 'sk_c8' ) ) ] )
% 32.78/33.23 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33512, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( 'sk_c8',
% 32.78/33.23 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.23 , clause( 33446, [ =( 'sk_c8', 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.78/33.23 'sk_c7' ), =( 'sk_c7', multiply( 'sk_c4', 'sk_c8' ) ) ] )
% 32.78/33.23 , 2, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33513, [ =( 'sk_c3', 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.78/33.23 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.23 , clause( 33512, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( 'sk_c8',
% 32.78/33.23 'sk_c3' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.23 , 1, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 factor(
% 32.78/33.23 clause( 33517, [ =( 'sk_c3', 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.78/33.23 'sk_c7' ) ] )
% 32.78/33.23 , clause( 33513, [ =( 'sk_c3', 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.78/33.23 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ) ] )
% 32.78/33.23 , 1, 2, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 subsumption(
% 32.78/33.23 clause( 343, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( 'sk_c3',
% 32.78/33.23 'sk_c8' ) ] )
% 32.78/33.23 , clause( 33517, [ =( 'sk_c3', 'sk_c8' ), =( multiply( 'sk_c4', 'sk_c8' ),
% 32.78/33.23 'sk_c7' ) ] )
% 32.78/33.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 32.78/33.23 ).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33574, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 32.78/33.23 'sk_c7' ) ] )
% 32.78/33.23 , clause( 14, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 32.78/33.23 'sk_c8' ) ] )
% 32.78/33.23 , 1, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33576, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.23 , clause( 300, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.78/33.23 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 paramod(
% 32.78/33.23 clause( 33582, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c8',
% 32.78/33.23 inverse( 'sk_c4' ) ) ] )
% 32.78/33.23 , clause( 33574, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' )
% 32.78/33.23 , 'sk_c7' ) ] )
% 32.78/33.23 , 1, clause( 33576, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.23 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 paramod(
% 32.78/33.23 clause( 33591, [ =( identity, 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' ),
% 32.78/33.23 =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.78/33.23 , clause( 9, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 32.78/33.23 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.23 , 0, clause( 33582, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 32.78/33.23 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.78/33.23 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33611, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ),
% 32.78/33.23 =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.23 , clause( 33591, [ =( identity, 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.78/33.23 , =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.78/33.23 , 2, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 factor(
% 32.78/33.23 clause( 33740, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 32.78/33.23 )
% 32.78/33.23 , clause( 33611, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' )
% 32.78/33.23 , =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.23 , 0, 2, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 subsumption(
% 32.78/33.23 clause( 355, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 32.78/33.23 )
% 32.78/33.23 , clause( 33740, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' )
% 32.78/33.23 ] )
% 32.78/33.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.23 ).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33742, [ =( 'sk_c7', inverse( 'sk_c5' ) ), =( inverse( 'sk_c1' ),
% 32.78/33.23 'sk_c7' ) ] )
% 32.78/33.23 , clause( 16, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 32.78/33.23 'sk_c7' ) ] )
% 32.78/33.23 , 1, substitution( 0, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33744, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.23 , clause( 300, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.78/33.23 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 paramod(
% 32.78/33.23 clause( 33750, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 32.78/33.23 inverse( 'sk_c5' ) ) ] )
% 32.78/33.23 , clause( 33742, [ =( 'sk_c7', inverse( 'sk_c5' ) ), =( inverse( 'sk_c1' )
% 32.78/33.23 , 'sk_c7' ) ] )
% 32.78/33.23 , 1, clause( 33744, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.23 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 paramod(
% 32.78/33.23 clause( 33759, [ =( identity, 'sk_c8' ), =( inverse( 'sk_c5' ), 'sk_c7' ),
% 32.78/33.23 =( 'sk_c7', inverse( 'sk_c5' ) ) ] )
% 32.78/33.23 , clause( 11, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c8' ), =( inverse(
% 32.78/33.23 'sk_c5' ), 'sk_c7' ) ] )
% 32.78/33.23 , 0, clause( 33750, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 32.78/33.23 'sk_c7', inverse( 'sk_c5' ) ) ] )
% 32.78/33.23 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.23
% 32.78/33.23
% 32.78/33.23 eqswap(
% 32.78/33.23 clause( 33779, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ),
% 32.78/33.23 =( inverse( 'sk_c5' ), 'sk_c7' ) ] )
% 32.78/33.23 , clause( 33759, [ =( identity, 'sk_c8' ), =( inverse( 'sk_c5' ), 'sk_c7' )
% 32.78/33.24 , =( 'sk_c7', inverse( 'sk_c5' ) ) ] )
% 32.78/33.24 , 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 factor(
% 32.78/33.24 clause( 33902, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 32.78/33.24 )
% 32.78/33.24 , clause( 33779, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' )
% 32.78/33.24 , =( inverse( 'sk_c5' ), 'sk_c7' ) ] )
% 32.78/33.24 , 0, 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 subsumption(
% 32.78/33.24 clause( 357, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 32.78/33.24 )
% 32.78/33.24 , clause( 33902, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' )
% 32.78/33.24 ] )
% 32.78/33.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.24 ).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 33904, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' ),
% 32.78/33.24 'sk_c8' ) ] )
% 32.78/33.24 , clause( 29, [ =( inverse( 'sk_c2' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 32.78/33.24 'sk_c8' ) ] )
% 32.78/33.24 , 1, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 33906, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.24 , clause( 300, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.78/33.24 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 33908, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 32.78/33.24 'sk_c8' ), 'sk_c3' ) ] )
% 32.78/33.24 , clause( 24, [ =( multiply( 'sk_c2', 'sk_c8' ), 'sk_c3' ), =( inverse(
% 32.78/33.24 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.24 , 1, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 33915, [ =( identity, multiply( 'sk_c2', 'sk_c8' ) ), =( 'sk_c8',
% 32.78/33.24 inverse( 'sk_c4' ) ) ] )
% 32.78/33.24 , clause( 33904, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' )
% 32.78/33.24 , 'sk_c8' ) ] )
% 32.78/33.24 , 1, clause( 33906, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.24 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34093, [ =( identity, 'sk_c3' ), =( 'sk_c8', inverse( 'sk_c4' ) ),
% 32.78/33.24 =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.78/33.24 , clause( 33908, [ =( 'sk_c8', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 32.78/33.24 'sk_c8' ), 'sk_c3' ) ] )
% 32.78/33.24 , 1, clause( 33915, [ =( identity, multiply( 'sk_c2', 'sk_c8' ) ), =(
% 32.78/33.24 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.78/33.24 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 factor(
% 32.78/33.24 clause( 34094, [ =( identity, 'sk_c3' ), =( 'sk_c8', inverse( 'sk_c4' ) ) ]
% 32.78/33.24 )
% 32.78/33.24 , clause( 34093, [ =( identity, 'sk_c3' ), =( 'sk_c8', inverse( 'sk_c4' ) )
% 32.78/33.24 , =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.78/33.24 , 1, 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34104, [ =( 'sk_c8', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c8' ),
% 32.78/33.24 =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.78/33.24 , clause( 355, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 32.78/33.24 )
% 32.78/33.24 , 1, clause( 34094, [ =( identity, 'sk_c3' ), =( 'sk_c8', inverse( 'sk_c4'
% 32.78/33.24 ) ) ] )
% 32.78/33.24 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34170, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( 'sk_c8', 'sk_c3' ),
% 32.78/33.24 =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.24 , clause( 34104, [ =( 'sk_c8', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.78/33.24 , =( 'sk_c8', inverse( 'sk_c4' ) ) ] )
% 32.78/33.24 , 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34171, [ =( 'sk_c3', 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' ),
% 32.78/33.24 =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.24 , clause( 34170, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( 'sk_c8', 'sk_c3' )
% 32.78/33.24 , =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.24 , 1, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 factor(
% 32.78/33.24 clause( 34175, [ =( 'sk_c3', 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' ) ]
% 32.78/33.24 )
% 32.78/33.24 , clause( 34171, [ =( 'sk_c3', 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.78/33.24 , =( inverse( 'sk_c4' ), 'sk_c8' ) ] )
% 32.78/33.24 , 1, 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 subsumption(
% 32.78/33.24 clause( 359, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( 'sk_c3', 'sk_c8' ) ] )
% 32.78/33.24 , clause( 34175, [ =( 'sk_c3', 'sk_c8' ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.78/33.24 ] )
% 32.78/33.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 32.78/33.24 ).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34236, [ =( 'sk_c8', identity ), =( inverse( 'sk_c4' ), 'sk_c8' ) ]
% 32.78/33.24 )
% 32.78/33.24 , clause( 355, [ =( inverse( 'sk_c4' ), 'sk_c8' ), =( identity, 'sk_c8' ) ]
% 32.78/33.24 )
% 32.78/33.24 , 1, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34238, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.24 , clause( 300, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 32.78/33.24 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34244, [ =( identity, multiply( 'sk_c4', 'sk_c8' ) ), =( 'sk_c8',
% 32.78/33.24 identity ) ] )
% 32.78/33.24 , clause( 34236, [ =( 'sk_c8', identity ), =( inverse( 'sk_c4' ), 'sk_c8' )
% 32.78/33.24 ] )
% 32.78/33.24 , 1, clause( 34238, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 32.78/33.24 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34265, [ =( identity, 'sk_c7' ), =( identity, 'sk_c8' ), =( 'sk_c8'
% 32.78/33.24 , identity ) ] )
% 32.78/33.24 , clause( 335, [ =( multiply( 'sk_c4', 'sk_c8' ), 'sk_c7' ), =( identity,
% 32.78/33.24 'sk_c8' ) ] )
% 32.78/33.24 , 0, clause( 34244, [ =( identity, multiply( 'sk_c4', 'sk_c8' ) ), =(
% 32.78/33.24 'sk_c8', identity ) ] )
% 32.78/33.24 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34289, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ), =(
% 32.78/33.24 identity, 'sk_c8' ) ] )
% 32.78/33.24 , clause( 34265, [ =( identity, 'sk_c7' ), =( identity, 'sk_c8' ), =(
% 32.78/33.24 'sk_c8', identity ) ] )
% 32.78/33.24 , 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 factor(
% 32.78/33.24 clause( 34448, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , clause( 34289, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ), =(
% 32.78/33.24 identity, 'sk_c8' ) ] )
% 32.78/33.24 , 0, 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 subsumption(
% 32.78/33.24 clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , clause( 34448, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.24 ).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqfact(
% 32.78/33.24 clause( 34452, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , 0, 1, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 subsumption(
% 32.78/33.24 clause( 370, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , clause( 34452, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 32.78/33.24 ).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34463, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , clause( 370, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , 0, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqfact(
% 32.78/33.24 clause( 34467, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c8' ) ] )
% 32.78/33.24 , clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , 1, 0, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34480, [ =( 'sk_c7', 'sk_c8' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =(
% 32.78/33.24 'sk_c7', 'sk_c8' ) ) ] )
% 32.78/33.24 , clause( 34463, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , 1, clause( 34467, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c8' ) ]
% 32.78/33.24 )
% 32.78/33.24 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34483, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c8' ), ~( =(
% 32.78/33.24 'sk_c7', 'sk_c8' ) ) ] )
% 32.78/33.24 , clause( 34480, [ =( 'sk_c7', 'sk_c8' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~(
% 32.78/33.24 =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.78/33.24 , 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34485, [ ~( =( 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c8', 'sk_c7' ) ),
% 32.78/33.24 =( 'sk_c7', 'sk_c8' ) ] )
% 32.78/33.24 , clause( 34483, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c8' ), ~(
% 32.78/33.24 =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.78/33.24 , 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34486, [ =( 'sk_c8', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ), ~( =(
% 32.78/33.24 'sk_c8', 'sk_c7' ) ) ] )
% 32.78/33.24 , clause( 34485, [ ~( =( 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c8', 'sk_c7' ) ),
% 32.78/33.24 =( 'sk_c7', 'sk_c8' ) ] )
% 32.78/33.24 , 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 factor(
% 32.78/33.24 clause( 34489, [ =( 'sk_c8', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.78/33.24 , clause( 34486, [ =( 'sk_c8', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ), ~(
% 32.78/33.24 =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.78/33.24 , 1, 2, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 subsumption(
% 32.78/33.24 clause( 371, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.78/33.24 , clause( 34489, [ =( 'sk_c8', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 32.78/33.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 32.78/33.24 ).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34492, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , clause( 370, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , 0, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34495, [ =( X, multiply( X, identity ) ) ] )
% 32.78/33.24 , clause( 268, [ =( multiply( X, identity ), X ) ] )
% 32.78/33.24 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34496, [ =( X, multiply( X, 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) )
% 32.78/33.24 ] )
% 32.78/33.24 , clause( 34492, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , 1, clause( 34495, [ =( X, multiply( X, identity ) ) ] )
% 32.78/33.24 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34498, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( X, multiply( X, 'sk_c7' ) )
% 32.78/33.24 ] )
% 32.78/33.24 , clause( 34496, [ =( X, multiply( X, 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' )
% 32.78/33.24 ) ] )
% 32.78/33.24 , 1, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34499, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.78/33.24 ] )
% 32.78/33.24 , clause( 34498, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( X, multiply( X, 'sk_c7' )
% 32.78/33.24 ) ] )
% 32.78/33.24 , 1, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 subsumption(
% 32.78/33.24 clause( 372, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) ) ]
% 32.78/33.24 )
% 32.78/33.24 , clause( 34499, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' )
% 32.78/33.24 ) ] )
% 32.78/33.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 32.78/33.24 1 )] ) ).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34500, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , clause( 370, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , 0, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34503, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 32.78/33.24 , clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 32.78/33.24 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34505, [ =( X, multiply( inverse( inverse( 'sk_c7' ) ), X ) ), ~(
% 32.78/33.24 =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.78/33.24 , clause( 34500, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( identity, 'sk_c7' ) ] )
% 32.78/33.24 , 1, clause( 34503, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 32.78/33.24 ] )
% 32.78/33.24 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34506, [ =( X, multiply( 'sk_c7', X ) ), ~( =( 'sk_c7', 'sk_c8' ) )
% 32.78/33.24 ] )
% 32.78/33.24 , clause( 237, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 32.78/33.24 ) ) ] )
% 32.78/33.24 , 0, clause( 34505, [ =( X, multiply( inverse( inverse( 'sk_c7' ) ), X ) )
% 32.78/33.24 , ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.78/33.24 , 0, 2, substitution( 0, [ :=( X, 'sk_c7' ), :=( Y, X )] ), substitution( 1
% 32.78/33.24 , [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34508, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( X, multiply( 'sk_c7', X ) )
% 32.78/33.24 ] )
% 32.78/33.24 , clause( 34506, [ =( X, multiply( 'sk_c7', X ) ), ~( =( 'sk_c7', 'sk_c8' )
% 32.78/33.24 ) ] )
% 32.78/33.24 , 1, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34509, [ =( multiply( 'sk_c7', X ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.78/33.24 ] )
% 32.78/33.24 , clause( 34508, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( X, multiply( 'sk_c7', X )
% 32.78/33.24 ) ] )
% 32.78/33.24 , 1, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 subsumption(
% 32.78/33.24 clause( 374, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( multiply( 'sk_c7', X ), X ) ]
% 32.78/33.24 )
% 32.78/33.24 , clause( 34509, [ =( multiply( 'sk_c7', X ), X ), ~( =( 'sk_c8', 'sk_c7' )
% 32.78/33.24 ) ] )
% 32.78/33.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 32.78/33.24 0 )] ) ).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34510, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.78/33.24 , clause( 371, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.78/33.24 , 0, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34513, [ =( identity, multiply( 'sk_c7', 'sk_c5' ) ), =( multiply(
% 32.78/33.24 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.78/33.24 , clause( 83, [ =( multiply( 'sk_c7', 'sk_c5' ), identity ), =( multiply(
% 32.78/33.24 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.78/33.24 , 0, substitution( 0, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34516, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( 'sk_c7', X ), X )
% 32.78/33.24 ] )
% 32.78/33.24 , clause( 374, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( multiply( 'sk_c7', X ), X )
% 32.78/33.24 ] )
% 32.78/33.24 , 0, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 eqswap(
% 32.78/33.24 clause( 34520, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X )
% 32.78/33.24 ] )
% 32.78/33.24 , clause( 372, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.78/33.24 ] )
% 32.78/33.24 , 1, substitution( 0, [ :=( X, X )] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34525, [ =( multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ), ~( =( 'sk_c7'
% 32.78/33.24 , 'sk_c8' ) ), =( identity, multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 32.78/33.24 , clause( 34510, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.78/33.24 , 1, clause( 34513, [ =( identity, multiply( 'sk_c7', 'sk_c5' ) ), =(
% 32.78/33.24 multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ) ] )
% 32.78/33.24 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 32.78/33.24
% 32.78/33.24
% 32.78/33.24 paramod(
% 32.78/33.24 clause( 34537, [ =( identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.78/33.24 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.78/33.24 , clause( 34516, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( 'sk_c7', X ), X
% 32.87/33.27 ) ] )
% 32.87/33.27 , 1, clause( 34525, [ =( multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ), ~( =(
% 32.87/33.27 'sk_c7', 'sk_c8' ) ), =( identity, multiply( 'sk_c7', 'sk_c5' ) ) ] )
% 32.87/33.27 , 2, 2, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 factor(
% 32.87/33.27 clause( 34542, [ =( identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.87/33.27 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ] )
% 32.87/33.27 , clause( 34537, [ =( identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.87/33.27 multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.87/33.27 , 1, 3, substitution( 0, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 paramod(
% 32.87/33.27 clause( 34543, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.87/33.27 identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.87/33.27 , clause( 34520, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X
% 32.87/33.27 ) ] )
% 32.87/33.27 , 1, clause( 34542, [ =( identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 32.87/33.27 =( multiply( 'sk_c7', 'sk_c7' ), 'sk_c6' ) ] )
% 32.87/33.27 , 2, 1, substitution( 0, [ :=( X, 'sk_c7' )] ), substitution( 1, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 factor(
% 32.87/33.27 clause( 34544, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.87/33.27 identity, 'sk_c5' ) ] )
% 32.87/33.27 , clause( 34543, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 32.87/33.27 identity, 'sk_c5' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.87/33.27 , 1, 3, substitution( 0, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 paramod(
% 32.87/33.27 clause( 34553, [ =( 'sk_c7', 'sk_c5' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 32.87/33.27 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.87/33.27 , clause( 370, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( identity, 'sk_c7' ) ] )
% 32.87/33.27 , 1, clause( 34544, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 32.87/33.27 =( identity, 'sk_c5' ) ] )
% 32.87/33.27 , 2, 1, substitution( 0, [] ), substitution( 1, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 eqswap(
% 32.87/33.27 clause( 34557, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c5' ), ~( =(
% 32.87/33.27 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 32.87/33.27 , clause( 34553, [ =( 'sk_c7', 'sk_c5' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 32.87/33.27 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 32.87/33.27 , 3, substitution( 0, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 factor(
% 32.87/33.27 clause( 34571, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c5' ), =(
% 32.87/33.27 'sk_c7', 'sk_c6' ) ] )
% 32.87/33.27 , clause( 34557, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c5' ), ~(
% 32.87/33.27 =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 32.87/33.27 , 0, 2, substitution( 0, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 subsumption(
% 32.87/33.27 clause( 385, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 32.87/33.27 'sk_c7', 'sk_c5' ) ] )
% 32.87/33.27 , clause( 34571, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c5' ), =(
% 32.87/33.27 'sk_c7', 'sk_c6' ) ] )
% 32.87/33.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 32.87/33.27 , 1 )] ) ).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 eqswap(
% 32.87/33.27 clause( 34572, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.87/33.27 , clause( 371, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.87/33.27 , 0, substitution( 0, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 eqswap(
% 32.87/33.27 clause( 34575, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ), =( multiply(
% 32.87/33.27 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 32.87/33.27 , clause( 7, [ =( multiply( 'sk_c7', 'sk_c8' ), 'sk_c6' ), =( multiply(
% 32.87/33.27 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 32.87/33.27 , 0, substitution( 0, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 eqswap(
% 32.87/33.27 clause( 34579, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X )
% 32.87/33.27 ] )
% 32.87/33.27 , clause( 372, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.87/33.27 ] )
% 32.87/33.27 , 1, substitution( 0, [ :=( X, X )] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 eqswap(
% 32.87/33.27 clause( 34582, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X )
% 32.87/33.27 ] )
% 32.87/33.27 , clause( 372, [ =( multiply( X, 'sk_c7' ), X ), ~( =( 'sk_c8', 'sk_c7' ) )
% 32.87/33.27 ] )
% 32.87/33.27 , 1, substitution( 0, [ :=( X, X )] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 eqswap(
% 32.87/33.27 clause( 34585, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 32.87/33.27 'sk_c7', 'sk_c5' ) ] )
% 32.87/33.27 , clause( 385, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 32.87/33.27 'sk_c7', 'sk_c5' ) ] )
% 32.87/33.27 , 1, substitution( 0, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 paramod(
% 32.87/33.27 clause( 34592, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c7'
% 32.87/33.27 , 'sk_c8' ) ), =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ) ] )
% 32.87/33.27 , clause( 34572, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 32.87/33.27 , 1, clause( 34575, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ), =(
% 32.87/33.27 multiply( 'sk_c6', 'sk_c8' ), 'sk_c7' ) ] )
% 32.87/33.27 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 32.87/33.27
% 32.87/33.27
% 32.87/33.27 paramod(
% 32.87/33.27 clause( 34594, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =( 'sk_c7'
% 32.87/33.27 , 'sk_c8' ) ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ), ~( =( 'sk_c7'
% 33.21/33.62 , 'sk_c8' ) ) ] )
% 33.21/33.62 , clause( 34572, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c8', 'sk_c7' ) ] )
% 33.21/33.62 , 1, clause( 34592, [ =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ), ~( =(
% 33.21/33.62 'sk_c7', 'sk_c8' ) ), =( 'sk_c6', multiply( 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , 2, 4, substitution( 0, [] ), substitution( 1, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 factor(
% 33.21/33.62 clause( 34604, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =( 'sk_c7'
% 33.21/33.62 , 'sk_c8' ) ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ) ] )
% 33.21/33.62 , clause( 34594, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =(
% 33.21/33.62 'sk_c7', 'sk_c8' ) ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ), ~( =(
% 33.21/33.62 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , 1, 3, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 paramod(
% 33.21/33.62 clause( 34609, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 33.21/33.62 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , clause( 34579, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X
% 33.21/33.62 ) ] )
% 33.21/33.62 , 1, clause( 34604, [ =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =(
% 33.21/33.62 'sk_c7', 'sk_c8' ) ), =( multiply( 'sk_c6', 'sk_c7' ), 'sk_c7' ) ] )
% 33.21/33.62 , 2, 1, substitution( 0, [ :=( X, 'sk_c6' )] ), substitution( 1, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 paramod(
% 33.21/33.62 clause( 34615, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 33.21/33.62 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =( 'sk_c7', 'sk_c8' )
% 33.21/33.62 ) ] )
% 33.21/33.62 , clause( 34582, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( multiply( X, 'sk_c7' ), X
% 33.21/33.62 ) ] )
% 33.21/33.62 , 1, clause( 34609, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.21/33.62 =( 'sk_c6', multiply( 'sk_c7', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ]
% 33.21/33.62 )
% 33.21/33.62 , 2, 2, substitution( 0, [ :=( X, 'sk_c7' )] ), substitution( 1, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 factor(
% 33.21/33.62 clause( 34616, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =(
% 33.21/33.62 'sk_c7', 'sk_c8' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , clause( 34615, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), =(
% 33.21/33.62 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =( 'sk_c7', 'sk_c8' )
% 33.21/33.62 ) ] )
% 33.21/33.62 , 0, 2, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 factor(
% 33.21/33.62 clause( 34617, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~( =(
% 33.21/33.62 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , clause( 34616, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~(
% 33.21/33.62 =( 'sk_c7', 'sk_c8' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , 1, 2, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 factor(
% 33.21/33.62 clause( 34618, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , clause( 34617, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ), ~(
% 33.21/33.62 =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , 1, 2, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 paramod(
% 33.21/33.62 clause( 34900, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c6', 'sk_c7' ), ~( =(
% 33.21/33.62 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , clause( 34585, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.21/33.62 'sk_c7', 'sk_c5' ) ] )
% 33.21/33.62 , 2, clause( 34618, [ =( 'sk_c6', 'sk_c7' ), ~( =( 'sk_c7', 'sk_c8' ) ) ]
% 33.21/33.62 )
% 33.21/33.62 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 34925, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c6', 'sk_c5' ), =(
% 33.21/33.62 'sk_c6', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.21/33.62 , clause( 34900, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c6', 'sk_c7' ), ~( =(
% 33.21/33.62 'sk_c8', 'sk_c7' ) ), ~( =( 'sk_c7', 'sk_c8' ) ) ] )
% 33.21/33.62 , 3, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 34927, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.21/33.62 'sk_c6', 'sk_c5' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.21/33.62 , clause( 34925, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c6', 'sk_c5' ), =(
% 33.21/33.62 'sk_c6', 'sk_c7' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.21/33.62 , 2, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 factor(
% 33.21/33.62 clause( 35033, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.21/33.62 'sk_c6', 'sk_c5' ) ] )
% 33.21/33.62 , clause( 34927, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.21/33.62 'sk_c6', 'sk_c5' ), ~( =( 'sk_c8', 'sk_c7' ) ) ] )
% 33.21/33.62 , 1, 3, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 subsumption(
% 33.21/33.62 clause( 386, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.21/33.62 'sk_c6', 'sk_c5' ) ] )
% 33.21/33.62 , clause( 35033, [ =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c8', 'sk_c7' ) ), =(
% 33.21/33.62 'sk_c6', 'sk_c5' ) ] )
% 33.21/33.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 33.21/33.62 , 2 )] ) ).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 35035, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.21/33.62 'sk_c7', 'sk_c5' ) ] )
% 33.21/33.62 , clause( 385, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.21/33.62 'sk_c7', 'sk_c5' ) ] )
% 33.21/33.62 , 0, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 35042, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.21/33.62 'sk_c6', 'sk_c5' ) ] )
% 33.21/33.62 , clause( 386, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.21/33.62 'sk_c6', 'sk_c5' ) ] )
% 33.21/33.62 , 0, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqfact(
% 33.21/33.62 clause( 35050, [ ~( =( 'sk_c5', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.21/33.62 =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , clause( 35035, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.21/33.62 'sk_c7', 'sk_c5' ) ] )
% 33.21/33.62 , 2, 1, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 paramod(
% 33.21/33.62 clause( 43506, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.21/33.62 =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' )
% 33.21/33.62 ] )
% 33.21/33.62 , clause( 35042, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ), =(
% 33.21/33.62 'sk_c6', 'sk_c5' ) ] )
% 33.21/33.62 , 2, clause( 35050, [ ~( =( 'sk_c5', 'sk_c6' ) ), ~( =( 'sk_c7', 'sk_c8' )
% 33.21/33.62 ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 factor(
% 33.21/33.62 clause( 43533, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.21/33.62 =( 'sk_c7', 'sk_c6' ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , clause( 43506, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.21/33.62 =( 'sk_c7', 'sk_c6' ), ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' )
% 33.21/33.62 ] )
% 33.21/33.62 , 1, 3, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 factor(
% 33.21/33.62 clause( 43534, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.21/33.62 =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , clause( 43533, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.21/33.62 =( 'sk_c7', 'sk_c6' ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , 2, 3, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqrefl(
% 33.21/33.62 clause( 44307, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , clause( 43534, [ ~( =( 'sk_c5', 'sk_c5' ) ), ~( =( 'sk_c7', 'sk_c8' ) ),
% 33.21/33.62 =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , 0, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 44308, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , clause( 44307, [ ~( =( 'sk_c7', 'sk_c8' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , 0, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 subsumption(
% 33.21/33.62 clause( 395, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , clause( 44308, [ ~( =( 'sk_c8', 'sk_c7' ) ), =( 'sk_c7', 'sk_c6' ) ] )
% 33.21/33.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 33.21/33.62 ).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 44312, [ =( 'sk_c7', identity ), =( identity, 'sk_c8' ) ] )
% 33.21/33.62 , clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.21/33.62 , 1, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 44314, [ =( X, multiply( X, identity ) ) ] )
% 33.21/33.62 , clause( 268, [ =( multiply( X, identity ), X ) ] )
% 33.21/33.62 , 0, substitution( 0, [ :=( X, X )] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 paramod(
% 33.21/33.62 clause( 44411, [ =( X, multiply( X, 'sk_c8' ) ), =( 'sk_c7', identity ) ]
% 33.21/33.62 )
% 33.21/33.62 , clause( 44312, [ =( 'sk_c7', identity ), =( identity, 'sk_c8' ) ] )
% 33.21/33.62 , 1, clause( 44314, [ =( X, multiply( X, identity ) ) ] )
% 33.21/33.62 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 44457, [ =( identity, 'sk_c7' ), =( X, multiply( X, 'sk_c8' ) ) ]
% 33.21/33.62 )
% 33.21/33.62 , clause( 44411, [ =( X, multiply( X, 'sk_c8' ) ), =( 'sk_c7', identity ) ]
% 33.21/33.62 )
% 33.21/33.62 , 1, substitution( 0, [ :=( X, X )] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 44458, [ =( multiply( X, 'sk_c8' ), X ), =( identity, 'sk_c7' ) ]
% 33.21/33.62 )
% 33.21/33.62 , clause( 44457, [ =( identity, 'sk_c7' ), =( X, multiply( X, 'sk_c8' ) ) ]
% 33.21/33.62 )
% 33.21/33.62 , 1, substitution( 0, [ :=( X, X )] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 subsumption(
% 33.21/33.62 clause( 414, [ =( multiply( X, 'sk_c8' ), X ), =( identity, 'sk_c7' ) ] )
% 33.21/33.62 , clause( 44458, [ =( multiply( X, 'sk_c8' ), X ), =( identity, 'sk_c7' ) ]
% 33.21/33.62 )
% 33.21/33.62 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 33.21/33.62 1 )] ) ).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 44459, [ =( 'sk_c8', identity ), =( identity, 'sk_c7' ) ] )
% 33.21/33.62 , clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.21/33.62 , 0, substitution( 0, [] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 eqswap(
% 33.21/33.62 clause( 44462, [ =( X, multiply( X, identity ) ) ] )
% 33.21/33.62 , clause( 268, [ =( multiply( X, identity ), X ) ] )
% 33.21/33.62 , 0, substitution( 0, [ :=( X, X )] )).
% 33.21/33.62
% 33.21/33.62
% 33.21/33.62 paramod(
% 33.21/33.62 clause( 44463, [ =( X, multiply( X, 'sk_c7' ) ), =( 'sk_c8', identity ) ]
% 33.21/33.62 )
% 33.21/33.62 , clause( 44459, [ =( 'sk_c8', identity ), =( identity, 'sk_c7' ) ] )
% 33.21/33.62 , 1, clause( 44462, [ =( X, multiply( X, identity ) ) ] )
% 33.21/33.62 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44509, [ =( identity, 'sk_c8' ), =( X, multiply( X, 'sk_c7' ) ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 44463, [ =( X, multiply( X, 'sk_c7' ) ), =( 'sk_c8', identity ) ]
% 33.28/33.69 )
% 33.28/33.69 , 1, substitution( 0, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44510, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 44509, [ =( identity, 'sk_c8' ), =( X, multiply( X, 'sk_c7' ) ) ]
% 33.28/33.69 )
% 33.28/33.69 , 1, substitution( 0, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 subsumption(
% 33.28/33.69 clause( 415, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ] )
% 33.28/33.69 , clause( 44510, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 33.28/33.69 1 )] ) ).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44514, [ =( identity, inverse( identity ) ) ] )
% 33.28/33.69 , clause( 154, [ =( inverse( identity ), identity ) ] )
% 33.28/33.69 , 0, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 44694, [ =( identity, inverse( 'sk_c7' ) ), =( identity, 'sk_c8' )
% 33.28/33.69 ] )
% 33.28/33.69 , clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.28/33.69 , 1, clause( 44514, [ =( identity, inverse( identity ) ) ] )
% 33.28/33.69 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 44697, [ =( 'sk_c7', inverse( 'sk_c7' ) ), =( identity, 'sk_c8' ),
% 33.28/33.69 =( identity, 'sk_c8' ) ] )
% 33.28/33.69 , clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.28/33.69 , 1, clause( 44694, [ =( identity, inverse( 'sk_c7' ) ), =( identity,
% 33.28/33.69 'sk_c8' ) ] )
% 33.28/33.69 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44738, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ),
% 33.28/33.69 =( identity, 'sk_c8' ) ] )
% 33.28/33.69 , clause( 44697, [ =( 'sk_c7', inverse( 'sk_c7' ) ), =( identity, 'sk_c8' )
% 33.28/33.69 , =( identity, 'sk_c8' ) ] )
% 33.28/33.69 , 0, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 factor(
% 33.28/33.69 clause( 44841, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 44738, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' )
% 33.28/33.69 , =( identity, 'sk_c8' ) ] )
% 33.28/33.69 , 1, 2, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 subsumption(
% 33.28/33.69 clause( 417, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 44841, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' )
% 33.28/33.69 ] )
% 33.28/33.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 33.28/33.69 ).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44843, [ =( 'sk_c8', identity ), =( identity, 'sk_c7' ) ] )
% 33.28/33.69 , clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.28/33.69 , 0, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44846, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 33.28/33.69 , clause( 152, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 33.28/33.69 , 0, substitution( 0, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 44848, [ =( X, multiply( inverse( inverse( 'sk_c7' ) ), X ) ), =(
% 33.28/33.69 'sk_c8', identity ) ] )
% 33.28/33.69 , clause( 44843, [ =( 'sk_c8', identity ), =( identity, 'sk_c7' ) ] )
% 33.28/33.69 , 1, clause( 44846, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 33.28/33.69 ] )
% 33.28/33.69 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 44859, [ =( X, multiply( 'sk_c7', X ) ), =( 'sk_c8', identity ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 237, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 33.28/33.69 ) ) ] )
% 33.28/33.69 , 0, clause( 44848, [ =( X, multiply( inverse( inverse( 'sk_c7' ) ), X ) )
% 33.28/33.69 , =( 'sk_c8', identity ) ] )
% 33.28/33.69 , 0, 2, substitution( 0, [ :=( X, 'sk_c7' ), :=( Y, X )] ), substitution( 1
% 33.28/33.69 , [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44861, [ =( identity, 'sk_c8' ), =( X, multiply( 'sk_c7', X ) ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 44859, [ =( X, multiply( 'sk_c7', X ) ), =( 'sk_c8', identity ) ]
% 33.28/33.69 )
% 33.28/33.69 , 1, substitution( 0, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44862, [ =( multiply( 'sk_c7', X ), X ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 44861, [ =( identity, 'sk_c8' ), =( X, multiply( 'sk_c7', X ) ) ]
% 33.28/33.69 )
% 33.28/33.69 , 1, substitution( 0, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 subsumption(
% 33.28/33.69 clause( 419, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c7', X ), X ) ] )
% 33.28/33.69 , clause( 44862, [ =( multiply( 'sk_c7', X ), X ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 33.28/33.69 0 )] ) ).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44864, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 357, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , 1, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44866, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 33.28/33.69 , clause( 300, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 33.28/33.69 , 0, substitution( 0, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 44868, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c7' ), X ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 415, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , 1, substitution( 0, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 44875, [ =( identity, multiply( 'sk_c5', 'sk_c7' ) ), =( 'sk_c8',
% 33.28/33.69 identity ) ] )
% 33.28/33.69 , clause( 44864, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' )
% 33.28/33.69 ] )
% 33.28/33.69 , 1, clause( 44866, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 33.28/33.69 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 45805, [ =( identity, 'sk_c5' ), =( 'sk_c8', identity ), =( 'sk_c8'
% 33.28/33.69 , identity ) ] )
% 33.28/33.69 , clause( 44868, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c7' ), X ) ]
% 33.28/33.69 )
% 33.28/33.69 , 1, clause( 44875, [ =( identity, multiply( 'sk_c5', 'sk_c7' ) ), =(
% 33.28/33.69 'sk_c8', identity ) ] )
% 33.28/33.69 , 0, 2, substitution( 0, [ :=( X, 'sk_c5' )] ), substitution( 1, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 factor(
% 33.28/33.69 clause( 45806, [ =( identity, 'sk_c5' ), =( 'sk_c8', identity ) ] )
% 33.28/33.69 , clause( 45805, [ =( identity, 'sk_c5' ), =( 'sk_c8', identity ), =(
% 33.28/33.69 'sk_c8', identity ) ] )
% 33.28/33.69 , 1, 2, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 45891, [ =( 'sk_c7', 'sk_c5' ), =( identity, 'sk_c8' ), =( 'sk_c8'
% 33.28/33.69 , identity ) ] )
% 33.28/33.69 , clause( 363, [ =( identity, 'sk_c8' ), =( identity, 'sk_c7' ) ] )
% 33.28/33.69 , 1, clause( 45806, [ =( identity, 'sk_c5' ), =( 'sk_c8', identity ) ] )
% 33.28/33.69 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 45927, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ), =( identity
% 33.28/33.69 , 'sk_c8' ) ] )
% 33.28/33.69 , clause( 45891, [ =( 'sk_c7', 'sk_c5' ), =( identity, 'sk_c8' ), =(
% 33.28/33.69 'sk_c8', identity ) ] )
% 33.28/33.69 , 2, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 factor(
% 33.28/33.69 clause( 46124, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 33.28/33.69 , clause( 45927, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ), =(
% 33.28/33.69 identity, 'sk_c8' ) ] )
% 33.28/33.69 , 0, 2, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 subsumption(
% 33.28/33.69 clause( 478, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 33.28/33.69 , clause( 46124, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 33.28/33.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 33.28/33.69 ).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 46126, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 357, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , 1, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 46128, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 33.28/33.69 ) ) ] )
% 33.28/33.69 , clause( 237, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 33.28/33.69 ) ) ] )
% 33.28/33.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 eqswap(
% 33.28/33.69 clause( 46130, [ =( 'sk_c8', identity ), =( inverse( 'sk_c7' ), 'sk_c7' ) ]
% 33.28/33.69 )
% 33.28/33.69 , clause( 417, [ =( inverse( 'sk_c7' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 33.28/33.69 )
% 33.28/33.69 , 1, substitution( 0, [] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 46135, [ =( multiply( 'sk_c5', X ), multiply( inverse( 'sk_c7' ), X
% 33.28/33.69 ) ), =( 'sk_c8', identity ) ] )
% 33.28/33.69 , clause( 46126, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' )
% 33.28/33.69 ] )
% 33.28/33.69 , 1, clause( 46128, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 33.28/33.69 ), Y ) ) ] )
% 33.28/33.69 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' ), :=( Y,
% 33.28/33.69 X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 46137, [ =( multiply( 'sk_c5', X ), multiply( 'sk_c7', X ) ), =(
% 33.28/33.69 'sk_c8', identity ), =( 'sk_c8', identity ) ] )
% 33.28/33.69 , clause( 46130, [ =( 'sk_c8', identity ), =( inverse( 'sk_c7' ), 'sk_c7' )
% 33.28/33.69 ] )
% 33.28/33.69 , 1, clause( 46135, [ =( multiply( 'sk_c5', X ), multiply( inverse( 'sk_c7'
% 33.28/33.69 ), X ) ), =( 'sk_c8', identity ) ] )
% 33.28/33.69 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 factor(
% 33.28/33.69 clause( 46138, [ =( multiply( 'sk_c5', X ), multiply( 'sk_c7', X ) ), =(
% 33.28/33.69 'sk_c8', identity ) ] )
% 33.28/33.69 , clause( 46137, [ =( multiply( 'sk_c5', X ), multiply( 'sk_c7', X ) ), =(
% 33.28/33.69 'sk_c8', identity ), =( 'sk_c8', identity ) ] )
% 33.28/33.69 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 33.28/33.69
% 33.28/33.69
% 33.28/33.69 paramod(
% 33.28/33.69 clause( 46148, [ =( multiply( 'sk_c5', X ), X ), =( identity, 'sk_c8' ),
% 33.28/33.69 =( 'sk_c8', identity ) ] )
% 33.28/33.69 , clause( 419, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c7', X ), X ) ]
% 34.97/35.35 )
% 34.97/35.35 , 1, clause( 46138, [ =( multiply( 'sk_c5', X ), multiply( 'sk_c7', X ) ),
% 34.97/35.35 =( 'sk_c8', identity ) ] )
% 34.97/35.35 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.97/35.35 ).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 eqswap(
% 34.97/35.35 clause( 46214, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ),
% 34.97/35.35 =( identity, 'sk_c8' ) ] )
% 34.97/35.35 , clause( 46148, [ =( multiply( 'sk_c5', X ), X ), =( identity, 'sk_c8' ),
% 34.97/35.35 =( 'sk_c8', identity ) ] )
% 34.97/35.35 , 2, substitution( 0, [ :=( X, X )] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 factor(
% 34.97/35.35 clause( 46220, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ) ]
% 34.97/35.35 )
% 34.97/35.35 , clause( 46214, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ),
% 34.97/35.35 =( identity, 'sk_c8' ) ] )
% 34.97/35.35 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 subsumption(
% 34.97/35.35 clause( 480, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ) ] )
% 34.97/35.35 , clause( 46220, [ =( identity, 'sk_c8' ), =( multiply( 'sk_c5', X ), X ) ]
% 34.97/35.35 )
% 34.97/35.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 34.97/35.35 1 )] ) ).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 eqswap(
% 34.97/35.35 clause( 46270, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' ) ]
% 34.97/35.35 )
% 34.97/35.35 , clause( 357, [ =( inverse( 'sk_c5' ), 'sk_c7' ), =( identity, 'sk_c8' ) ]
% 34.97/35.35 )
% 34.97/35.35 , 1, substitution( 0, [] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 eqswap(
% 34.97/35.35 clause( 46272, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 34.97/35.35 Y ) ), Y ) ) ] )
% 34.97/35.35 , clause( 46, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 34.97/35.35 , identity ) ) ] )
% 34.97/35.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 eqswap(
% 34.97/35.35 clause( 46274, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c7' ), X ) ]
% 34.97/35.35 )
% 34.97/35.35 , clause( 415, [ =( multiply( X, 'sk_c7' ), X ), =( identity, 'sk_c8' ) ]
% 34.97/35.35 )
% 34.97/35.35 , 1, substitution( 0, [ :=( X, X )] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 paramod(
% 34.97/35.35 clause( 46279, [ =( multiply( X, identity ), multiply( multiply( X, 'sk_c7'
% 34.97/35.35 ), 'sk_c5' ) ), =( 'sk_c8', identity ) ] )
% 34.97/35.35 , clause( 46270, [ =( 'sk_c8', identity ), =( inverse( 'sk_c5' ), 'sk_c7' )
% 34.97/35.35 ] )
% 34.97/35.35 , 1, clause( 46272, [ =( multiply( X, identity ), multiply( multiply( X,
% 34.97/35.35 inverse( Y ) ), Y ) ) ] )
% 34.97/35.35 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 34.97/35.35 'sk_c5' )] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 paramod(
% 34.97/35.35 clause( 46288, [ =( multiply( X, identity ), multiply( X, 'sk_c5' ) ), =(
% 34.97/35.35 'sk_c8', identity ), =( 'sk_c8', identity ) ] )
% 34.97/35.35 , clause( 46274, [ =( 'sk_c8', identity ), =( multiply( X, 'sk_c7' ), X ) ]
% 34.97/35.35 )
% 34.97/35.35 , 1, clause( 46279, [ =( multiply( X, identity ), multiply( multiply( X,
% 34.97/35.35 'sk_c7' ), 'sk_c5' ) ), =( 'sk_c8', identity ) ] )
% 34.97/35.35 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.97/35.35 ).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 factor(
% 34.97/35.35 clause( 46289, [ =( multiply( X, identity ), multiply( X, 'sk_c5' ) ), =(
% 34.97/35.35 'sk_c8', identity ) ] )
% 34.97/35.35 , clause( 46288, [ =( multiply( X, identity ), multiply( X, 'sk_c5' ) ),
% 34.97/35.35 =( 'sk_c8', identity ), =( 'sk_c8', identity ) ] )
% 34.97/35.35 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 paramod(
% 34.97/35.35 clause( 46290, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c8', identity ) ]
% 34.97/35.35 )
% 34.97/35.35 , clause( 268, [ =( multiply( X, identity ), X ) ] )
% 34.97/35.35 , 0, clause( 46289, [ =( multiply( X, identity ), multiply( X, 'sk_c5' ) )
% 34.97/35.35 , =( 'sk_c8', identity ) ] )
% 34.97/35.35 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.97/35.35 ).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 eqswap(
% 34.97/35.35 clause( 46292, [ =( identity, 'sk_c8' ), =( X, multiply( X, 'sk_c5' ) ) ]
% 34.97/35.35 )
% 34.97/35.35 , clause( 46290, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c8', identity ) ]
% 34.97/35.35 )
% 34.97/35.35 , 1, substitution( 0, [ :=( X, X )] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 eqswap(
% 34.97/35.35 clause( 46293, [ =( multiply( X, 'sk_c5' ), X ), =( identity, 'sk_c8' ) ]
% 34.97/35.35 )
% 34.97/35.35 , clause( 46292, [ =( identity, 'sk_c8' ), =( X, multiply( X, 'sk_c5' ) ) ]
% 34.97/35.35 )
% 34.97/35.35 , 1, substitution( 0, [ :=( X, X )] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 subsumption(
% 34.97/35.35 clause( 481, [ =( identity, 'sk_c8' ), =( multiply( X, 'sk_c5' ), X ) ] )
% 34.97/35.35 , clause( 46293, [ =( multiply( X, 'sk_c5' ), X ), =( identity, 'sk_c8' ) ]
% 34.97/35.35 )
% 34.97/35.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 34.97/35.35 0 )] ) ).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 eqswap(
% 34.97/35.35 clause( 46294, [ =( 'sk_c8', identity ), =( 'sk_c7', 'sk_c5' ) ] )
% 34.97/35.35 , clause( 478, [ =( identity, 'sk_c8' ), =( 'sk_c7', 'sk_c5' ) ] )
% 34.97/35.35 , 0, substitution( 0, [] )).
% 34.97/35.35
% 34.97/35.35
% 34.97/35.35 eqswap(
% 34.97/35.35 clause( 46297, [ =( 'sk_c8', multiply( 'sk_c1', 'sk_c7' ) ), =( multiply(
% 34.97/35.35 'sk_c5', 'sk_c7' ), 'sk_c6' ) ] )
% 34.97/35.35 , clauCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------