TSTP Solution File: GRP253-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP253-1 : 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 07:36:16 EDT 2022
% Result : Unsatisfiable 116.54s 116.94s
% Output : Refutation 116.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP253-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 02:36:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 116.54/116.94 *** allocated 10000 integers for termspace/termends
% 116.54/116.94 *** allocated 10000 integers for clauses
% 116.54/116.94 *** allocated 10000 integers for justifications
% 116.54/116.94 Bliksem 1.12
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94 Automatic Strategy Selection
% 116.54/116.94
% 116.54/116.94 Clauses:
% 116.54/116.94 [
% 116.54/116.94 [ =( multiply( identity, X ), X ) ],
% 116.54/116.94 [ =( multiply( inverse( X ), X ), identity ) ],
% 116.54/116.94 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 116.54/116.94 ],
% 116.54/116.94 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 116.54/116.94 'sk_c7' ), 'sk_c6' ) ],
% 116.54/116.94 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.54/116.94 'sk_c7' ) ],
% 116.54/116.94 [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.54/116.94 'sk_c6' ) ],
% 116.54/116.94 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 116.54/116.94 'sk_c6' ) ],
% 116.54/116.94 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ]
% 116.54/116.94 ,
% 116.54/116.94 [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ), 'sk_c6' ) ]
% 116.54/116.94 ,
% 116.54/116.94 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply( 'sk_c4',
% 116.54/116.94 'sk_c7' ), 'sk_c6' ) ],
% 116.54/116.94 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c4' ),
% 116.54/116.94 'sk_c7' ) ],
% 116.54/116.94 [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse( 'sk_c5' ),
% 116.54/116.94 'sk_c6' ) ],
% 116.54/116.94 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 116.54/116.94 'sk_c6' ) ],
% 116.54/116.94 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ]
% 116.54/116.94 ,
% 116.54/116.94 [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c5' ), 'sk_c6' ) ]
% 116.54/116.94 ,
% 116.54/116.94 [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 116.54/116.94 'sk_c6' ) ],
% 116.54/116.94 [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ]
% 116.54/116.94 ,
% 116.54/116.94 [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c5' ), 'sk_c6' ) ]
% 116.54/116.94 ,
% 116.54/116.94 [ =( multiply( 'sk_c3', 'sk_c5' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 116.54/116.94 'sk_c7' ), 'sk_c6' ) ],
% 116.54/116.94 [ =( multiply( 'sk_c3', 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.54/116.94 'sk_c7' ) ],
% 116.54/116.94 [ =( multiply( 'sk_c3', 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.54/116.94 'sk_c6' ) ],
% 116.54/116.94 [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7'
% 116.54/116.94 ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse( Y ),
% 116.54/116.94 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =( multiply( Z, 'sk_c5'
% 116.54/116.94 ), 'sk_c6' ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 116.54/116.94 T ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c6' ) ) ]
% 116.54/116.94 ] .
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94 percentage equality = 1.000000, percentage horn = 0.181818
% 116.54/116.94 This is a pure equality problem
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94 Options Used:
% 116.54/116.94
% 116.54/116.94 useres = 1
% 116.54/116.94 useparamod = 1
% 116.54/116.94 useeqrefl = 1
% 116.54/116.94 useeqfact = 1
% 116.54/116.94 usefactor = 1
% 116.54/116.94 usesimpsplitting = 0
% 116.54/116.94 usesimpdemod = 5
% 116.54/116.94 usesimpres = 3
% 116.54/116.94
% 116.54/116.94 resimpinuse = 1000
% 116.54/116.94 resimpclauses = 20000
% 116.54/116.94 substype = eqrewr
% 116.54/116.94 backwardsubs = 1
% 116.54/116.94 selectoldest = 5
% 116.54/116.94
% 116.54/116.94 litorderings [0] = split
% 116.54/116.94 litorderings [1] = extend the termordering, first sorting on arguments
% 116.54/116.94
% 116.54/116.94 termordering = kbo
% 116.54/116.94
% 116.54/116.94 litapriori = 0
% 116.54/116.94 termapriori = 1
% 116.54/116.94 litaposteriori = 0
% 116.54/116.94 termaposteriori = 0
% 116.54/116.94 demodaposteriori = 0
% 116.54/116.94 ordereqreflfact = 0
% 116.54/116.94
% 116.54/116.94 litselect = negord
% 116.54/116.94
% 116.54/116.94 maxweight = 15
% 116.54/116.94 maxdepth = 30000
% 116.54/116.94 maxlength = 115
% 116.54/116.94 maxnrvars = 195
% 116.54/116.94 excuselevel = 1
% 116.54/116.94 increasemaxweight = 1
% 116.54/116.94
% 116.54/116.94 maxselected = 10000000
% 116.54/116.94 maxnrclauses = 10000000
% 116.54/116.94
% 116.54/116.94 showgenerated = 0
% 116.54/116.94 showkept = 0
% 116.54/116.94 showselected = 0
% 116.54/116.94 showdeleted = 0
% 116.54/116.94 showresimp = 1
% 116.54/116.94 showstatus = 2000
% 116.54/116.94
% 116.54/116.94 prologoutput = 1
% 116.54/116.94 nrgoals = 5000000
% 116.54/116.94 totalproof = 1
% 116.54/116.94
% 116.54/116.94 Symbols occurring in the translation:
% 116.54/116.94
% 116.54/116.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 116.54/116.94 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 116.54/116.94 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 116.54/116.94 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 116.54/116.94 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 116.54/116.94 identity [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 116.54/116.94 multiply [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 116.54/116.94 inverse [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 116.54/116.94 'sk_c1' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 116.54/116.94 'sk_c7' [46, 0] (w:1, o:8, a:1, s:1, b:0),
% 116.54/116.94 'sk_c6' [47, 0] (w:1, o:7, a:1, s:1, b:0),
% 116.54/116.94 'sk_c4' [48, 0] (w:1, o:10, a:1, s:1, b:0),
% 116.54/116.94 'sk_c5' [49, 0] (w:1, o:6, a:1, s:1, b:0),
% 116.54/116.94 'sk_c2' [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 116.54/116.94 'sk_c3' [51, 0] (w:1, o:9, a:1, s:1, b:0).
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94 Starting Search:
% 116.54/116.94
% 116.54/116.94 Resimplifying inuse:
% 116.54/116.94 Done
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94 Intermediate Status:
% 116.54/116.94 Generated: 106916
% 116.54/116.94 Kept: 2000
% 116.54/116.94 Inuse: 572
% 116.54/116.94 Deleted: 599
% 116.54/116.94 Deletedinuse: 100
% 116.54/116.94
% 116.54/116.94 Resimplifying inuse:
% 116.54/116.94 Done
% 116.54/116.94
% 116.54/116.94 Resimplifying inuse:
% 116.54/116.94 Done
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94 Intermediate Status:
% 116.54/116.94 Generated: 2564139
% 116.54/116.94 Kept: 4000
% 116.54/116.94 Inuse: 2378
% 116.54/116.94 Deleted: 1436
% 116.54/116.94 Deletedinuse: 209
% 116.54/116.94
% 116.54/116.94 Resimplifying inuse:
% 116.54/116.94 Done
% 116.54/116.94
% 116.54/116.94 Resimplifying inuse:
% 116.54/116.94 Done
% 116.54/116.94
% 116.54/116.94 Failed to find proof!
% 116.54/116.94 maxweight = 15
% 116.54/116.94 maxnrclauses = 10000000
% 116.54/116.94 Generated: 3530868
% 116.54/116.94 Kept: 4066
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94 The strategy used was not complete!
% 116.54/116.94
% 116.54/116.94 Increased maxweight to 16
% 116.54/116.94
% 116.54/116.94 Starting Search:
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94 Bliksems!, er is een bewijs:
% 116.54/116.94 % SZS status Unsatisfiable
% 116.54/116.94 % SZS output start Refutation
% 116.54/116.94
% 116.54/116.94 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 116.54/116.94 , Z ) ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 3, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 116.54/116.94 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 4, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.54/116.94 'sk_c4' ), 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 5, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.54/116.94 'sk_c5' ), 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 6, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 116.54/116.94 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 7, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 116.54/116.94 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 116.54/116.94 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 9, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 116.54/116.94 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 10, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.54/116.94 'sk_c4' ), 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 11, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.54/116.94 'sk_c5' ), 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 12, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 116.54/116.94 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 13, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.54/116.94 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 14, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.54/116.94 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 16, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.54/116.94 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 17, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.54/116.94 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 21, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 116.54/116.94 , 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 116.54/116.94 Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =( multiply( Z,
% 116.54/116.94 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ), ~( =(
% 116.54/116.94 inverse( T ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c6' ) ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 23, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 116.54/116.94 , 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 116.54/116.94 Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =( multiply( Z,
% 116.54/116.94 'sk_c5' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c6' ) ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 31, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 116.54/116.94 identity ) ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 32, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 116.54/116.94 ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 79, [ =( multiply( inverse( identity ), X ), X ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 80, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 116.54/116.94 multiply( Y, X ) ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 113, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 115, [ =( inverse( identity ), identity ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 121, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 122, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 116.54/116.94 ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 148, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c2' ), =(
% 116.54/116.94 inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 152, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c2', 'sk_c3' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 160, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.54/116.94 'sk_c4' ), 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 209, [ =( multiply( X, identity ), X ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 241, [ =( inverse( inverse( X ) ), X ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 250, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( multiply( 'sk_c4',
% 116.54/116.94 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 257, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( multiply( 'sk_c1',
% 116.54/116.94 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 262, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( inverse( 'sk_c4' ),
% 116.54/116.94 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 263, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( inverse( 'sk_c1' ),
% 116.54/116.94 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 264, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( inverse( 'sk_c5' ),
% 116.54/116.94 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 275, [ =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ), =( identity,
% 116.54/116.94 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 289, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 116.54/116.94 )
% 116.54/116.94 .
% 116.54/116.94 clause( 291, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 116.54/116.94 )
% 116.54/116.94 .
% 116.54/116.94 clause( 293, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 295, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 302, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 116.54/116.94 )
% 116.54/116.94 .
% 116.54/116.94 clause( 303, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 305, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 116.54/116.94 'sk_c7' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 309, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c6' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 310, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 312, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 313, [ =( multiply( X, 'sk_c5' ), X ), ~( =( 'sk_c6', 'sk_c5' ) ) ]
% 116.54/116.94 )
% 116.54/116.94 .
% 116.54/116.94 clause( 315, [ =( inverse( 'sk_c5' ), 'sk_c5' ), ~( =( 'sk_c6', 'sk_c5' ) )
% 116.54/116.94 ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 316, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( multiply( 'sk_c5', X ), X ) ]
% 116.54/116.94 )
% 116.54/116.94 .
% 116.54/116.94 clause( 317, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c3', 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 324, [ =( identity, 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 325, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 116.54/116.94 )
% 116.54/116.94 .
% 116.54/116.94 clause( 329, [ =( multiply( X, 'sk_c6' ), X ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 357, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( 'sk_c3', 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 368, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c4', 'sk_c1' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 370, [ =( inverse( 'sk_c6' ), 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 373, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 443, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.54/116.94 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 445, [ =( 'sk_c6', 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 450, [ =( inverse( 'sk_c5' ), 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 468, [ ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c7'
% 116.54/116.94 ), 'sk_c5' ) ), ~( =( inverse( Y ), 'sk_c5' ) ), ~( =( Y, 'sk_c5' ) ) ]
% 116.54/116.94 )
% 116.54/116.94 .
% 116.54/116.94 clause( 469, [ ~( =( inverse( X ), 'sk_c7' ) ), ~( =( multiply( X, 'sk_c7'
% 116.54/116.94 ), 'sk_c5' ) ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 482, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( inverse( 'sk_c7' ),
% 116.54/116.94 'sk_c1' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 484, [ ~( =( 'sk_c4', 'sk_c1' ) ), =( inverse( 'sk_c7' ), 'sk_c1' )
% 116.54/116.94 ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 485, [ ~( =( 'sk_c4', 'sk_c1' ) ), =( 'sk_c4', 'sk_c1' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 496, [ ~( =( 'sk_c4', 'sk_c1' ) ), =( multiply( 'sk_c1', 'sk_c7' )
% 116.54/116.94 , 'sk_c5' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 497, [ =( inverse( 'sk_c1' ), 'sk_c7' ), ~( =( 'sk_c4', 'sk_c1' ) )
% 116.54/116.94 ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 507, [ =( inverse( 'sk_c7' ), 'sk_c4' ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 508, [ ~( =( 'sk_c4', 'sk_c1' ) ) ] )
% 116.54/116.94 .
% 116.54/116.94 clause( 509, [] )
% 116.54/116.94 .
% 116.54/116.94
% 116.54/116.94
% 116.54/116.94 % SZS output end Refutation
% 116.54/116.94 found a proof!
% 116.54/116.94
% 116.54/116.94 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 116.54/116.94
% 116.54/116.94 initialclauses(
% 116.54/116.94 [ clause( 511, [ =( multiply( identity, X ), X ) ] )
% 116.54/116.94 , clause( 512, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.54/116.94 , clause( 513, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 116.54/116.94 Y, Z ) ) ) ] )
% 116.54/116.94 , clause( 514, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 116.54/116.94 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.94 , clause( 515, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.54/116.94 'sk_c4' ), 'sk_c7' ) ] )
% 116.54/116.94 , clause( 516, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.54/116.94 'sk_c5' ), 'sk_c6' ) ] )
% 116.54/116.94 , clause( 517, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 116.54/116.94 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.94 , clause( 518, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 116.54/116.94 'sk_c7' ) ] )
% 116.54/116.94 , clause( 519, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 116.54/116.94 'sk_c6' ) ] )
% 116.54/116.94 , clause( 520, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 116.54/116.94 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.95 , clause( 521, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.54/116.95 'sk_c4' ), 'sk_c7' ) ] )
% 116.54/116.95 , clause( 522, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.54/116.95 'sk_c5' ), 'sk_c6' ) ] )
% 116.54/116.95 , clause( 523, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 116.54/116.95 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.95 , clause( 524, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.54/116.95 'sk_c7' ) ] )
% 116.54/116.95 , clause( 525, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.54/116.95 'sk_c6' ) ] )
% 116.54/116.95 , clause( 526, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 116.54/116.95 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.95 , clause( 527, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.54/116.95 'sk_c7' ) ] )
% 116.54/116.95 , clause( 528, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.54/116.95 'sk_c6' ) ] )
% 116.54/116.95 , clause( 529, [ =( multiply( 'sk_c3', 'sk_c5' ), 'sk_c6' ), =( multiply(
% 116.54/116.95 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.95 , clause( 530, [ =( multiply( 'sk_c3', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 116.54/116.95 'sk_c4' ), 'sk_c7' ) ] )
% 116.54/116.95 , clause( 531, [ =( multiply( 'sk_c3', 'sk_c5' ), 'sk_c6' ), =( inverse(
% 116.54/116.95 'sk_c5' ), 'sk_c6' ) ] )
% 116.54/116.95 , clause( 532, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 116.54/116.95 X ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 116.54/116.95 inverse( Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =(
% 116.54/116.95 multiply( Z, 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( T, 'sk_c7' ),
% 116.54/116.95 'sk_c6' ) ), ~( =( inverse( T ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ),
% 116.54/116.95 'sk_c6' ) ) ] )
% 116.54/116.95 ] ).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 subsumption(
% 116.54/116.95 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 116.54/116.95 , clause( 511, [ =( multiply( identity, X ), X ) ] )
% 116.54/116.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 subsumption(
% 116.54/116.95 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.54/116.95 , clause( 512, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.54/116.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 eqswap(
% 116.54/116.95 clause( 538, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 116.54/116.95 ), Z ) ) ] )
% 116.54/116.95 , clause( 513, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 116.54/116.95 Y, Z ) ) ) ] )
% 116.54/116.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 subsumption(
% 116.54/116.95 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 116.54/116.95 , Z ) ) ] )
% 116.54/116.95 , clause( 538, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 116.54/116.95 , Y ), Z ) ) ] )
% 116.54/116.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 116.54/116.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 subsumption(
% 116.54/116.95 clause( 3, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 116.54/116.95 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.95 , clause( 514, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( multiply(
% 116.54/116.95 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.54/116.95 ).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 subsumption(
% 116.54/116.95 clause( 4, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.54/116.95 'sk_c4' ), 'sk_c7' ) ] )
% 116.54/116.95 , clause( 515, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.54/116.95 'sk_c4' ), 'sk_c7' ) ] )
% 116.54/116.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.54/116.95 ).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 subsumption(
% 116.54/116.95 clause( 5, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.54/116.95 'sk_c5' ), 'sk_c6' ) ] )
% 116.54/116.95 , clause( 516, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.54/116.95 'sk_c5' ), 'sk_c6' ) ] )
% 116.54/116.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.54/116.95 ).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 subsumption(
% 116.54/116.95 clause( 6, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 116.54/116.95 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.95 , clause( 517, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 116.54/116.95 'sk_c7' ), 'sk_c6' ) ] )
% 116.54/116.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.54/116.95 ).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 subsumption(
% 116.54/116.95 clause( 7, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 116.54/116.95 'sk_c7' ) ] )
% 116.54/116.95 , clause( 518, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 116.54/116.95 'sk_c7' ) ] )
% 116.54/116.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.54/116.95 ).
% 116.54/116.95
% 116.54/116.95
% 116.54/116.95 subsumption(
% 116.54/116.95 clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 116.54/116.95 'sk_c6' ) ] )
% 116.54/116.95 , clause( 519, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 116.54/116.95 'sk_c6' ) ] )
% 116.54/116.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 9, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 116.57/116.99 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , clause( 520, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 116.57/116.99 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 10, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 521, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 11, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c5' ), 'sk_c6' ) ] )
% 116.57/116.99 , clause( 522, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c5' ), 'sk_c6' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 12, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 116.57/116.99 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , clause( 523, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 116.57/116.99 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 13, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , clause( 524, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 14, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.57/116.99 'sk_c6' ) ] )
% 116.57/116.99 , clause( 525, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.57/116.99 'sk_c6' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 16, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , clause( 527, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 17, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.57/116.99 'sk_c6' ) ] )
% 116.57/116.99 , clause( 528, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.57/116.99 'sk_c6' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 21, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 116.57/116.99 , 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 116.57/116.99 Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =( multiply( Z,
% 116.57/116.99 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ), ~( =(
% 116.57/116.99 inverse( T ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c6' ) ) ] )
% 116.57/116.99 , clause( 532, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 116.57/116.99 X ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 116.57/116.99 inverse( Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =(
% 116.57/116.99 multiply( Z, 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( T, 'sk_c7' ),
% 116.57/116.99 'sk_c6' ) ), ~( =( inverse( T ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ),
% 116.57/116.99 'sk_c6' ) ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 116.57/116.99 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 116.57/116.99 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 0 ), ==>( 7, 1 ), ==>( 8, 8 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 factor(
% 116.57/116.99 clause( 1387, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X
% 116.57/116.99 ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 116.57/116.99 Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =( multiply( Z,
% 116.57/116.99 'sk_c5' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~( =( inverse(
% 116.57/116.99 'sk_c5' ), 'sk_c6' ) ) ] )
% 116.57/116.99 , clause( 21, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X
% 116.57/116.99 ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 116.57/116.99 Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =( multiply( Z,
% 116.57/116.99 'sk_c5' ), 'sk_c6' ) ), ~( =( multiply( T, 'sk_c7' ), 'sk_c6' ) ), ~( =(
% 116.57/116.99 inverse( T ), 'sk_c7' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c6' ) ) ] )
% 116.57/116.99 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 factor(
% 116.57/116.99 clause( 1388, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X
% 116.57/116.99 ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 116.57/116.99 Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =( multiply( Z,
% 116.57/116.99 'sk_c5' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c6' ) ) ] )
% 116.57/116.99 , clause( 1387, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 116.57/116.99 X ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 116.57/116.99 inverse( Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =(
% 116.57/116.99 multiply( Z, 'sk_c5' ), 'sk_c6' ) ), ~( =( inverse( X ), 'sk_c7' ) ), ~(
% 116.57/116.99 =( inverse( 'sk_c5' ), 'sk_c6' ) ) ] )
% 116.57/116.99 , 1, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 23, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse( X )
% 116.57/116.99 , 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =( inverse(
% 116.57/116.99 Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =( multiply( Z,
% 116.57/116.99 'sk_c5' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c6' ) ) ] )
% 116.57/116.99 , clause( 1388, [ ~( =( multiply( X, 'sk_c7' ), 'sk_c6' ) ), ~( =( inverse(
% 116.57/116.99 X ), 'sk_c7' ) ), ~( =( multiply( Y, 'sk_c6' ), 'sk_c5' ) ), ~( =(
% 116.57/116.99 inverse( Y ), 'sk_c6' ) ), ~( =( inverse( Z ), 'sk_c6' ) ), ~( =(
% 116.57/116.99 multiply( Z, 'sk_c5' ), 'sk_c6' ) ), ~( =( inverse( 'sk_c5' ), 'sk_c6' )
% 116.57/116.99 ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 116.57/116.99 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 116.57/116.99 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1690, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 116.57/116.99 Y, Z ) ) ) ] )
% 116.57/116.99 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 116.57/116.99 ), Z ) ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1695, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 116.57/116.99 , identity ) ) ] )
% 116.57/116.99 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.57/116.99 , 0, clause( 1690, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 116.57/116.99 multiply( Y, Z ) ) ) ] )
% 116.57/116.99 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 116.57/116.99 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 31, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 116.57/116.99 identity ) ) ] )
% 116.57/116.99 , clause( 1695, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 116.57/116.99 X, identity ) ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 116.57/116.99 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1700, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 116.57/116.99 Y, Z ) ) ) ] )
% 116.57/116.99 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 116.57/116.99 ), Z ) ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1705, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 116.57/116.99 ) ] )
% 116.57/116.99 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 116.57/116.99 , 0, clause( 1700, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 116.57/116.99 multiply( Y, Z ) ) ) ] )
% 116.57/116.99 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 116.57/116.99 :=( Y, identity ), :=( Z, Y )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 32, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 116.57/116.99 ] )
% 116.57/116.99 , clause( 1705, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 116.57/116.99 ) ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 116.57/116.99 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1711, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 116.57/116.99 ) ] )
% 116.57/116.99 , clause( 32, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 116.57/116.99 ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1714, [ =( multiply( inverse( identity ), X ), multiply( identity,
% 116.57/116.99 X ) ) ] )
% 116.57/116.99 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.57/116.99 , 0, clause( 1711, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 116.57/116.99 , Y ) ) ] )
% 116.57/116.99 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 116.57/116.99 inverse( identity ) ), :=( Y, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1715, [ =( multiply( inverse( identity ), X ), X ) ] )
% 116.57/116.99 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 116.57/116.99 , 0, clause( 1714, [ =( multiply( inverse( identity ), X ), multiply(
% 116.57/116.99 identity, X ) ) ] )
% 116.57/116.99 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 79, [ =( multiply( inverse( identity ), X ), X ) ] )
% 116.57/116.99 , clause( 1715, [ =( multiply( inverse( identity ), X ), X ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1718, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 116.57/116.99 Y, Z ) ) ) ] )
% 116.57/116.99 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 116.57/116.99 ), Z ) ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1723, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 116.57/116.99 multiply( X, Y ) ) ] )
% 116.57/116.99 , clause( 79, [ =( multiply( inverse( identity ), X ), X ) ] )
% 116.57/116.99 , 0, clause( 1718, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 116.57/116.99 multiply( Y, Z ) ) ) ] )
% 116.57/116.99 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 116.57/116.99 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 80, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 116.57/116.99 multiply( Y, X ) ) ] )
% 116.57/116.99 , clause( 1723, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 116.57/116.99 multiply( X, Y ) ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 116.57/116.99 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1729, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 116.57/116.99 identity ) ), Y ) ) ] )
% 116.57/116.99 , clause( 80, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 116.57/116.99 multiply( Y, X ) ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1732, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 116.57/116.99 identity, X ) ) ] )
% 116.57/116.99 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.57/116.99 , 0, clause( 1729, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 116.57/116.99 identity ) ), Y ) ) ] )
% 116.57/116.99 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 116.57/116.99 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1733, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 116.57/116.99 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 116.57/116.99 , 0, clause( 1732, [ =( multiply( inverse( inverse( identity ) ), X ),
% 116.57/116.99 multiply( identity, X ) ) ] )
% 116.57/116.99 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 113, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 116.57/116.99 , clause( 1733, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 116.57/116.99 )
% 116.57/116.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1735, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 116.57/116.99 , clause( 113, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1737, [ =( inverse( identity ), identity ) ] )
% 116.57/116.99 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.57/116.99 , 0, clause( 1735, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 116.57/116.99 ] )
% 116.57/116.99 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 116.57/116.99 , [ :=( X, inverse( identity ) )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 115, [ =( inverse( identity ), identity ) ] )
% 116.57/116.99 , clause( 1737, [ =( inverse( identity ), identity ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1740, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 116.57/116.99 Y ) ), Y ) ) ] )
% 116.57/116.99 , clause( 31, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 116.57/116.99 , identity ) ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1743, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 116.57/116.99 identity, X ) ) ] )
% 116.57/116.99 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.57/116.99 , 0, clause( 1740, [ =( multiply( X, identity ), multiply( multiply( X,
% 116.57/116.99 inverse( Y ) ), Y ) ) ] )
% 116.57/116.99 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 116.57/116.99 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1744, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 116.57/116.99 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 116.57/116.99 , 0, clause( 1743, [ =( multiply( inverse( inverse( X ) ), identity ),
% 116.57/116.99 multiply( identity, X ) ) ] )
% 116.57/116.99 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 121, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 116.57/116.99 , clause( 1744, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 116.57/116.99 )
% 116.57/116.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1747, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 116.57/116.99 ) ] )
% 116.57/116.99 , clause( 32, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 116.57/116.99 ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1750, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 116.57/116.99 ) ] )
% 116.57/116.99 , clause( 121, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 116.57/116.99 , 0, clause( 1747, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 116.57/116.99 , Y ) ) ] )
% 116.57/116.99 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 116.57/116.99 inverse( X ) ) ), :=( Y, Y )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 122, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 116.57/116.99 ) ] )
% 116.57/116.99 , clause( 1750, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 116.57/116.99 ) ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 116.57/116.99 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1757, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' ),
% 116.57/116.99 'sk_c6' ) ] )
% 116.57/116.99 , clause( 13, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1759, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 116.57/116.99 , clause( 121, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1768, [ =( 'sk_c2', multiply( inverse( 'sk_c6' ), identity ) ), =(
% 116.57/116.99 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/116.99 , clause( 1757, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' ),
% 116.57/116.99 'sk_c6' ) ] )
% 116.57/116.99 , 1, clause( 1759, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 116.57/116.99 ] )
% 116.57/116.99 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1770, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c2', multiply(
% 116.57/116.99 inverse( 'sk_c6' ), identity ) ) ] )
% 116.57/116.99 , clause( 1768, [ =( 'sk_c2', multiply( inverse( 'sk_c6' ), identity ) ),
% 116.57/116.99 =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1771, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c2' ), =(
% 116.57/116.99 inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 1770, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c2', multiply(
% 116.57/116.99 inverse( 'sk_c6' ), identity ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 148, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c2' ), =(
% 116.57/116.99 inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 1771, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c2' ),
% 116.57/116.99 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1773, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c3' ),
% 116.57/116.99 'sk_c6' ) ] )
% 116.57/116.99 , clause( 16, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1775, [ =( X, multiply( inverse( inverse( X ) ), identity ) ) ] )
% 116.57/116.99 , clause( 121, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1781, [ =( 'sk_c3', multiply( inverse( 'sk_c6' ), identity ) ), =(
% 116.57/116.99 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/116.99 , clause( 1773, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c3' ),
% 116.57/116.99 'sk_c6' ) ] )
% 116.57/116.99 , 1, clause( 1775, [ =( X, multiply( inverse( inverse( X ) ), identity ) )
% 116.57/116.99 ] )
% 116.57/116.99 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c3' )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1790, [ =( 'sk_c3', 'sk_c2' ), =( inverse( 'sk_c4' ), 'sk_c7' ),
% 116.57/116.99 =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/116.99 , clause( 148, [ =( multiply( inverse( 'sk_c6' ), identity ), 'sk_c2' ),
% 116.57/116.99 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 0, clause( 1781, [ =( 'sk_c3', multiply( inverse( 'sk_c6' ), identity ) )
% 116.57/116.99 , =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/116.99 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1810, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c3', 'sk_c2' ),
% 116.57/116.99 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 1790, [ =( 'sk_c3', 'sk_c2' ), =( inverse( 'sk_c4' ), 'sk_c7' ),
% 116.57/116.99 =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/116.99 , 2, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1811, [ =( 'sk_c2', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c7' ),
% 116.57/116.99 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 1810, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c3', 'sk_c2' ),
% 116.57/116.99 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 factor(
% 116.57/116.99 clause( 1932, [ =( 'sk_c2', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ]
% 116.57/116.99 )
% 116.57/116.99 , clause( 1811, [ =( 'sk_c2', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c7' ),
% 116.57/116.99 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 1, 2, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 152, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c2', 'sk_c3' ) ] )
% 116.57/116.99 , clause( 1932, [ =( 'sk_c2', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ]
% 116.57/116.99 )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1934, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( 'sk_c2', 'sk_c3' ) ]
% 116.57/116.99 )
% 116.57/116.99 , clause( 152, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c2', 'sk_c3' ) ]
% 116.57/116.99 )
% 116.57/116.99 , 0, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1937, [ =( 'sk_c5', multiply( 'sk_c2', 'sk_c6' ) ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 10, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 0, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1940, [ =( 'sk_c5', multiply( 'sk_c3', 'sk_c6' ) ), =( 'sk_c7',
% 116.57/116.99 inverse( 'sk_c4' ) ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 1934, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( 'sk_c2', 'sk_c3' ) ]
% 116.57/116.99 )
% 116.57/116.99 , 1, clause( 1937, [ =( 'sk_c5', multiply( 'sk_c2', 'sk_c6' ) ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1942, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c5', multiply(
% 116.57/116.99 'sk_c3', 'sk_c6' ) ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 1940, [ =( 'sk_c5', multiply( 'sk_c3', 'sk_c6' ) ), =( 'sk_c7',
% 116.57/116.99 inverse( 'sk_c4' ) ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1945, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 1942, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c5', multiply(
% 116.57/116.99 'sk_c3', 'sk_c6' ) ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 factor(
% 116.57/116.99 clause( 1946, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 1945, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 1, 2, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 160, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 1946, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1950, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 116.57/116.99 ) ] )
% 116.57/116.99 , clause( 122, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 116.57/116.99 ) ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1953, [ =( multiply( X, identity ), X ) ] )
% 116.57/116.99 , clause( 121, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 116.57/116.99 , 0, clause( 1950, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 116.57/116.99 , Y ) ) ] )
% 116.57/116.99 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 116.57/116.99 :=( Y, identity )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 209, [ =( multiply( X, identity ), X ) ] )
% 116.57/116.99 , clause( 1953, [ =( multiply( X, identity ), X ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1958, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 116.57/116.99 ) ] )
% 116.57/116.99 , clause( 122, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 116.57/116.99 ) ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1961, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.57/116.99 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 116.57/116.99 , 0, clause( 1958, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 116.57/116.99 , Y ) ) ] )
% 116.57/116.99 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 116.57/116.99 :=( X, X ), :=( Y, inverse( X ) )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.57/116.99 , clause( 1961, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1964, [ =( X, multiply( X, identity ) ) ] )
% 116.57/116.99 , clause( 209, [ =( multiply( X, identity ), X ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1967, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 116.57/116.99 , clause( 122, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 116.57/116.99 ) ) ] )
% 116.57/116.99 , 0, clause( 1964, [ =( X, multiply( X, identity ) ) ] )
% 116.57/116.99 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 116.57/116.99 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1968, [ =( inverse( inverse( X ) ), X ) ] )
% 116.57/116.99 , clause( 209, [ =( multiply( X, identity ), X ) ] )
% 116.57/116.99 , 0, clause( 1967, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 116.57/116.99 ] )
% 116.57/116.99 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 241, [ =( inverse( inverse( X ) ), X ) ] )
% 116.57/116.99 , clause( 1968, [ =( inverse( inverse( X ) ), X ) ] )
% 116.57/116.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1971, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c7' ) ), =( inverse(
% 116.57/116.99 'sk_c1' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 6, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 116.57/116.99 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1973, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , clause( 241, [ =( inverse( inverse( X ) ), X ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1974, [ =( 'sk_c1', inverse( 'sk_c7' ) ), =( 'sk_c6', multiply(
% 116.57/116.99 'sk_c4', 'sk_c7' ) ) ] )
% 116.57/116.99 , clause( 1971, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c7' ) ), =( inverse(
% 116.57/116.99 'sk_c1' ), 'sk_c7' ) ] )
% 116.57/116.99 , 1, clause( 1973, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1976, [ =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ), =( 'sk_c1',
% 116.57/116.99 inverse( 'sk_c7' ) ) ] )
% 116.57/116.99 , clause( 1974, [ =( 'sk_c1', inverse( 'sk_c7' ) ), =( 'sk_c6', multiply(
% 116.57/116.99 'sk_c4', 'sk_c7' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1977, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( multiply( 'sk_c4',
% 116.57/116.99 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , clause( 1976, [ =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ), =( 'sk_c1',
% 116.57/116.99 inverse( 'sk_c7' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 250, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( multiply( 'sk_c4',
% 116.57/116.99 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , clause( 1977, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( multiply( 'sk_c4',
% 116.57/116.99 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1978, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , clause( 4, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 0, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1981, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , clause( 241, [ =( inverse( inverse( X ) ), X ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1982, [ =( 'sk_c4', inverse( 'sk_c7' ) ), =( 'sk_c6', multiply(
% 116.57/116.99 'sk_c1', 'sk_c7' ) ) ] )
% 116.57/116.99 , clause( 1978, [ =( 'sk_c6', multiply( 'sk_c1', 'sk_c7' ) ), =( inverse(
% 116.57/116.99 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/116.99 , 1, clause( 1981, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1984, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( 'sk_c4',
% 116.57/116.99 inverse( 'sk_c7' ) ) ] )
% 116.57/116.99 , clause( 1982, [ =( 'sk_c4', inverse( 'sk_c7' ) ), =( 'sk_c6', multiply(
% 116.57/116.99 'sk_c1', 'sk_c7' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1985, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( multiply( 'sk_c1',
% 116.57/116.99 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , clause( 1984, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( 'sk_c4',
% 116.57/116.99 inverse( 'sk_c7' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 257, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( multiply( 'sk_c1',
% 116.57/116.99 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , clause( 1985, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( multiply( 'sk_c1',
% 116.57/116.99 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1987, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , clause( 7, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 1989, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , clause( 241, [ =( inverse( inverse( X ) ), X ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 1998, [ =( 'sk_c1', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 116.57/116.99 'sk_c4' ) ) ] )
% 116.57/116.99 , clause( 1987, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , 1, clause( 1989, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2000, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c1', inverse(
% 116.57/116.99 'sk_c7' ) ) ] )
% 116.57/116.99 , clause( 1998, [ =( 'sk_c1', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 116.57/116.99 'sk_c4' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2001, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , clause( 2000, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c1', inverse(
% 116.57/116.99 'sk_c7' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 262, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , clause( 2001, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2002, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , clause( 7, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , 0, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2005, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , clause( 241, [ =( inverse( inverse( X ) ), X ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 2006, [ =( 'sk_c4', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 116.57/116.99 'sk_c1' ) ) ] )
% 116.57/116.99 , clause( 2002, [ =( 'sk_c7', inverse( 'sk_c1' ) ), =( inverse( 'sk_c4' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , 1, clause( 2005, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2008, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c4', inverse(
% 116.57/116.99 'sk_c7' ) ) ] )
% 116.57/116.99 , clause( 2006, [ =( 'sk_c4', inverse( 'sk_c7' ) ), =( 'sk_c7', inverse(
% 116.57/116.99 'sk_c1' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2009, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( inverse( 'sk_c1' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , clause( 2008, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( 'sk_c4', inverse(
% 116.57/116.99 'sk_c7' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 subsumption(
% 116.57/116.99 clause( 263, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( inverse( 'sk_c1' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , clause( 2009, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( inverse( 'sk_c1' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/116.99 ).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2011, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( inverse( 'sk_c1' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 116.57/116.99 'sk_c6' ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2013, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , clause( 241, [ =( inverse( inverse( X ) ), X ) ] )
% 116.57/116.99 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 paramod(
% 116.57/116.99 clause( 2022, [ =( 'sk_c1', inverse( 'sk_c7' ) ), =( 'sk_c6', inverse(
% 116.57/116.99 'sk_c5' ) ) ] )
% 116.57/116.99 , clause( 2011, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( inverse( 'sk_c1' ),
% 116.57/116.99 'sk_c7' ) ] )
% 116.57/116.99 , 1, clause( 2013, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.57/116.99 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2024, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c1', inverse(
% 116.57/116.99 'sk_c7' ) ) ] )
% 116.57/116.99 , clause( 2022, [ =( 'sk_c1', inverse( 'sk_c7' ) ), =( 'sk_c6', inverse(
% 116.57/116.99 'sk_c5' ) ) ] )
% 116.57/116.99 , 1, substitution( 0, [] )).
% 116.57/116.99
% 116.57/116.99
% 116.57/116.99 eqswap(
% 116.57/116.99 clause( 2025, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( inverse( 'sk_c5' ),
% 116.57/117.00 'sk_c6' ) ] )
% 116.57/117.00 , clause( 2024, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c1', inverse(
% 116.57/117.00 'sk_c7' ) ) ] )
% 116.57/117.00 , 1, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 subsumption(
% 116.57/117.00 clause( 264, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( inverse( 'sk_c5' ),
% 116.57/117.00 'sk_c6' ) ] )
% 116.57/117.00 , clause( 2025, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( inverse( 'sk_c5' ),
% 116.57/117.00 'sk_c6' ) ] )
% 116.57/117.00 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.00 ).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2027, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c7' ) ), =( inverse(
% 116.57/117.00 'sk_c2' ), 'sk_c6' ) ] )
% 116.57/117.00 , clause( 12, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( multiply( 'sk_c4',
% 116.57/117.00 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/117.00 , 1, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2029, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.00 , clause( 240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.57/117.00 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 paramod(
% 116.57/117.00 clause( 2033, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c6',
% 116.57/117.00 multiply( 'sk_c4', 'sk_c7' ) ) ] )
% 116.57/117.00 , clause( 2027, [ =( 'sk_c6', multiply( 'sk_c4', 'sk_c7' ) ), =( inverse(
% 116.57/117.00 'sk_c2' ), 'sk_c6' ) ] )
% 116.57/117.00 , 1, clause( 2029, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.00 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 paramod(
% 116.57/117.00 clause( 2042, [ =( identity, 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 116.57/117.00 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c4', 'sk_c7' ) ) ] )
% 116.57/117.00 , clause( 9, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( multiply(
% 116.57/117.00 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/117.00 , 0, clause( 2033, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 116.57/117.00 'sk_c6', multiply( 'sk_c4', 'sk_c7' ) ) ] )
% 116.57/117.00 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2062, [ =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ), =( identity,
% 116.57/117.00 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/117.00 , clause( 2042, [ =( identity, 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 116.57/117.00 'sk_c6' ), =( 'sk_c6', multiply( 'sk_c4', 'sk_c7' ) ) ] )
% 116.57/117.00 , 2, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 factor(
% 116.57/117.00 clause( 2177, [ =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ), =( identity,
% 116.57/117.00 'sk_c5' ) ] )
% 116.57/117.00 , clause( 2062, [ =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ), =( identity,
% 116.57/117.00 'sk_c5' ), =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ) ] )
% 116.57/117.00 , 0, 2, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 subsumption(
% 116.57/117.00 clause( 275, [ =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ), =( identity,
% 116.57/117.00 'sk_c5' ) ] )
% 116.57/117.00 , clause( 2177, [ =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ), =( identity,
% 116.57/117.00 'sk_c5' ) ] )
% 116.57/117.00 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.00 ).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2179, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 116.57/117.00 'sk_c7' ) ] )
% 116.57/117.00 , clause( 7, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 116.57/117.00 'sk_c7' ) ] )
% 116.57/117.00 , 1, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2181, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.00 , clause( 240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.57/117.00 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 paramod(
% 116.57/117.00 clause( 2187, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c7',
% 116.57/117.00 inverse( 'sk_c4' ) ) ] )
% 116.57/117.00 , clause( 2179, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c1' ),
% 116.57/117.00 'sk_c7' ) ] )
% 116.57/117.00 , 1, clause( 2181, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.00 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 paramod(
% 116.57/117.00 clause( 2196, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c7' ),
% 116.57/117.00 =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/117.00 , clause( 4, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.57/117.00 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.00 , 0, clause( 2187, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 116.57/117.00 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/117.00 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2216, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c6' ),
% 116.57/117.00 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.00 , clause( 2196, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c4' ), 'sk_c7' )
% 116.57/117.00 , =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/117.00 , 2, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 factor(
% 116.57/117.00 clause( 2339, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 116.57/117.00 )
% 116.57/117.00 , clause( 2216, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c6' )
% 116.57/117.00 , =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.00 , 0, 2, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 subsumption(
% 116.57/117.00 clause( 289, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 116.57/117.00 )
% 116.57/117.00 , clause( 2339, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c6' )
% 116.57/117.00 ] )
% 116.57/117.00 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.00 ).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2341, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( inverse( 'sk_c1' ),
% 116.57/117.00 'sk_c7' ) ] )
% 116.57/117.00 , clause( 8, [ =( inverse( 'sk_c1' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 116.57/117.00 'sk_c6' ) ] )
% 116.57/117.00 , 1, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2343, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.00 , clause( 240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.57/117.00 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 paramod(
% 116.57/117.00 clause( 2349, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =( 'sk_c6',
% 116.57/117.00 inverse( 'sk_c5' ) ) ] )
% 116.57/117.00 , clause( 2341, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( inverse( 'sk_c1' ),
% 116.57/117.00 'sk_c7' ) ] )
% 116.57/117.00 , 1, clause( 2343, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.00 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c1' )] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 paramod(
% 116.57/117.00 clause( 2358, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c5' ), 'sk_c6' ),
% 116.57/117.00 =( 'sk_c6', inverse( 'sk_c5' ) ) ] )
% 116.57/117.00 , clause( 5, [ =( multiply( 'sk_c1', 'sk_c7' ), 'sk_c6' ), =( inverse(
% 116.57/117.00 'sk_c5' ), 'sk_c6' ) ] )
% 116.57/117.00 , 0, clause( 2349, [ =( identity, multiply( 'sk_c1', 'sk_c7' ) ), =(
% 116.57/117.00 'sk_c6', inverse( 'sk_c5' ) ) ] )
% 116.57/117.00 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2378, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( identity, 'sk_c6' ),
% 116.57/117.00 =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.57/117.00 , clause( 2358, [ =( identity, 'sk_c6' ), =( inverse( 'sk_c5' ), 'sk_c6' )
% 116.57/117.00 , =( 'sk_c6', inverse( 'sk_c5' ) ) ] )
% 116.57/117.00 , 2, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 factor(
% 116.57/117.00 clause( 2507, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 116.57/117.00 )
% 116.57/117.00 , clause( 2378, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( identity, 'sk_c6' )
% 116.57/117.00 , =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.57/117.00 , 0, 2, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 subsumption(
% 116.57/117.00 clause( 291, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 116.57/117.00 )
% 116.57/117.00 , clause( 2507, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( identity, 'sk_c6' )
% 116.57/117.00 ] )
% 116.57/117.00 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.00 ).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2509, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' ),
% 116.57/117.00 'sk_c6' ) ] )
% 116.57/117.00 , clause( 13, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c4' ),
% 116.57/117.00 'sk_c7' ) ] )
% 116.57/117.00 , 1, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2511, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.00 , clause( 240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.57/117.00 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 eqswap(
% 116.57/117.00 clause( 2513, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 116.57/117.00 'sk_c6' ), 'sk_c5' ) ] )
% 116.57/117.00 , clause( 10, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/117.00 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.00 , 1, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 paramod(
% 116.57/117.00 clause( 2520, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c7',
% 116.57/117.00 inverse( 'sk_c4' ) ) ] )
% 116.57/117.00 , clause( 2509, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse( 'sk_c2' ),
% 116.57/117.00 'sk_c6' ) ] )
% 116.57/117.00 , 1, clause( 2511, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.00 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 paramod(
% 116.57/117.00 clause( 2698, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c4' ) ),
% 116.57/117.00 =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/117.00 , clause( 2513, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( multiply( 'sk_c2',
% 116.57/117.00 'sk_c6' ), 'sk_c5' ) ] )
% 116.57/117.00 , 1, clause( 2520, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 116.57/117.00 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/117.00 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 factor(
% 116.57/117.00 clause( 2699, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c4' ) ) ]
% 116.57/117.00 )
% 116.57/117.00 , clause( 2698, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c4' ) )
% 116.57/117.00 , =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/117.00 , 1, 2, substitution( 0, [] )).
% 116.57/117.00
% 116.57/117.00
% 116.57/117.00 paramod(
% 116.57/117.00 clause( 2709, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c4' ), 'sk_c7' ),
% 116.57/117.00 =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/117.00 , clause( 289, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c6' ) ]
% 116.57/117.00 )
% 116.57/117.00 , 1, clause( 2699, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c4' )
% 116.57/117.00 ) ] )
% 116.57/117.00 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 2775, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ),
% 116.57/117.01 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.01 , clause( 2709, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c4' ), 'sk_c7' ),
% 116.57/117.01 =( 'sk_c7', inverse( 'sk_c4' ) ) ] )
% 116.57/117.01 , 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 factor(
% 116.57/117.01 clause( 2781, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , clause( 2775, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ),
% 116.57/117.01 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.01 , 0, 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 subsumption(
% 116.57/117.01 clause( 293, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.01 , clause( 2781, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.01 ).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 2837, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( inverse( 'sk_c2' ),
% 116.57/117.01 'sk_c6' ) ] )
% 116.57/117.01 , clause( 14, [ =( inverse( 'sk_c2' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.57/117.01 'sk_c6' ) ] )
% 116.57/117.01 , 1, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 2839, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.01 , clause( 240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.57/117.01 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 2841, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( multiply( 'sk_c2',
% 116.57/117.01 'sk_c6' ), 'sk_c5' ) ] )
% 116.57/117.01 , clause( 11, [ =( multiply( 'sk_c2', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/117.01 'sk_c5' ), 'sk_c6' ) ] )
% 116.57/117.01 , 1, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 2848, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =( 'sk_c6',
% 116.57/117.01 inverse( 'sk_c5' ) ) ] )
% 116.57/117.01 , clause( 2837, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( inverse( 'sk_c2' ),
% 116.57/117.01 'sk_c6' ) ] )
% 116.57/117.01 , 1, clause( 2839, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.01 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c2' )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 3026, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c5' ) ),
% 116.57/117.01 =( 'sk_c6', inverse( 'sk_c5' ) ) ] )
% 116.57/117.01 , clause( 2841, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( multiply( 'sk_c2',
% 116.57/117.01 'sk_c6' ), 'sk_c5' ) ] )
% 116.57/117.01 , 1, clause( 2848, [ =( identity, multiply( 'sk_c2', 'sk_c6' ) ), =(
% 116.57/117.01 'sk_c6', inverse( 'sk_c5' ) ) ] )
% 116.57/117.01 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 factor(
% 116.57/117.01 clause( 3027, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c5' ) ) ]
% 116.57/117.01 )
% 116.57/117.01 , clause( 3026, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c5' ) )
% 116.57/117.01 , =( 'sk_c6', inverse( 'sk_c5' ) ) ] )
% 116.57/117.01 , 1, 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 3037, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c5' ), 'sk_c6' ),
% 116.57/117.01 =( 'sk_c6', inverse( 'sk_c5' ) ) ] )
% 116.57/117.01 , clause( 291, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 116.57/117.01 )
% 116.57/117.01 , 1, clause( 3027, [ =( identity, 'sk_c5' ), =( 'sk_c6', inverse( 'sk_c5' )
% 116.57/117.01 ) ] )
% 116.57/117.01 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3103, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ),
% 116.57/117.01 =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.57/117.01 , clause( 3037, [ =( 'sk_c6', 'sk_c5' ), =( inverse( 'sk_c5' ), 'sk_c6' ),
% 116.57/117.01 =( 'sk_c6', inverse( 'sk_c5' ) ) ] )
% 116.57/117.01 , 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 factor(
% 116.57/117.01 clause( 3109, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , clause( 3103, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ),
% 116.57/117.01 =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.57/117.01 , 0, 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 subsumption(
% 116.57/117.01 clause( 295, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.01 , clause( 3109, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.01 ).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3171, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , clause( 293, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , 0, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 3174, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c4' ) ),
% 116.57/117.01 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.01 , clause( 3171, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , 1, clause( 289, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c6'
% 116.57/117.01 ) ] )
% 116.57/117.01 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3176, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c5' ),
% 116.57/117.01 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.01 , clause( 3174, [ =( identity, 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c4' ) )
% 116.57/117.01 , =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.01 , 1, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 factor(
% 116.57/117.01 clause( 3181, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , clause( 3176, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c5' )
% 116.57/117.01 , =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.01 , 0, 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 subsumption(
% 116.57/117.01 clause( 302, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , clause( 3181, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c5' )
% 116.57/117.01 ] )
% 116.57/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.01 ).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3185, [ =( 'sk_c5', identity ), =( inverse( 'sk_c4' ), 'sk_c7' ) ]
% 116.57/117.01 )
% 116.57/117.01 , clause( 302, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , 1, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3187, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.01 , clause( 240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 116.57/117.01 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 3193, [ =( identity, multiply( 'sk_c4', 'sk_c7' ) ), =( 'sk_c5',
% 116.57/117.01 identity ) ] )
% 116.57/117.01 , clause( 3185, [ =( 'sk_c5', identity ), =( inverse( 'sk_c4' ), 'sk_c7' )
% 116.57/117.01 ] )
% 116.57/117.01 , 1, clause( 3187, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 116.57/117.01 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 3214, [ =( identity, 'sk_c6' ), =( identity, 'sk_c5' ), =( 'sk_c5'
% 116.57/117.01 , identity ) ] )
% 116.57/117.01 , clause( 275, [ =( multiply( 'sk_c4', 'sk_c7' ), 'sk_c6' ), =( identity,
% 116.57/117.01 'sk_c5' ) ] )
% 116.57/117.01 , 0, clause( 3193, [ =( identity, multiply( 'sk_c4', 'sk_c7' ) ), =(
% 116.57/117.01 'sk_c5', identity ) ] )
% 116.57/117.01 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3238, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ), =( identity
% 116.57/117.01 , 'sk_c5' ) ] )
% 116.57/117.01 , clause( 3214, [ =( identity, 'sk_c6' ), =( identity, 'sk_c5' ), =(
% 116.57/117.01 'sk_c5', identity ) ] )
% 116.57/117.01 , 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 factor(
% 116.57/117.01 clause( 3397, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , clause( 3238, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ), =(
% 116.57/117.01 identity, 'sk_c5' ) ] )
% 116.57/117.01 , 0, 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 subsumption(
% 116.57/117.01 clause( 303, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , clause( 3397, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.01 ).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3398, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( identity, 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , clause( 302, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( identity, 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , 0, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3401, [ =( X, multiply( X, identity ) ) ] )
% 116.57/117.01 , clause( 209, [ =( multiply( X, identity ), X ) ] )
% 116.57/117.01 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 3402, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c7', inverse(
% 116.57/117.01 'sk_c4' ) ) ] )
% 116.57/117.01 , clause( 3398, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( identity, 'sk_c5' )
% 116.57/117.01 ] )
% 116.57/117.01 , 1, clause( 3401, [ =( X, multiply( X, identity ) ) ] )
% 116.57/117.01 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3404, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( X, multiply( X,
% 116.57/117.01 'sk_c5' ) ) ] )
% 116.57/117.01 , clause( 3402, [ =( X, multiply( X, 'sk_c5' ) ), =( 'sk_c7', inverse(
% 116.57/117.01 'sk_c4' ) ) ] )
% 116.57/117.01 , 1, substitution( 0, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3405, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 116.57/117.01 'sk_c7' ) ] )
% 116.57/117.01 , clause( 3404, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( X, multiply( X,
% 116.57/117.01 'sk_c5' ) ) ] )
% 116.57/117.01 , 1, substitution( 0, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 subsumption(
% 116.57/117.01 clause( 305, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 116.57/117.01 'sk_c7' ) ] )
% 116.57/117.01 , clause( 3405, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 116.57/117.01 'sk_c7' ) ] )
% 116.57/117.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 116.57/117.01 1 )] ) ).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqfact(
% 116.57/117.01 clause( 3409, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , clause( 303, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , 0, 1, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3414, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , clause( 3409, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , 0, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 subsumption(
% 116.57/117.01 clause( 309, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , clause( 3414, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.01 ).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3420, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , clause( 309, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , 0, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqfact(
% 116.57/117.01 clause( 3424, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.01 , clause( 303, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , 1, 0, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 3437, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c5', 'sk_c6' ) ), ~( =(
% 116.57/117.01 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.01 , clause( 3420, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , 1, clause( 3424, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ]
% 116.57/117.01 )
% 116.57/117.01 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3439, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ), ~( =(
% 116.57/117.01 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.01 , clause( 3437, [ =( 'sk_c6', 'sk_c5' ), ~( =( 'sk_c5', 'sk_c6' ) ), ~( =(
% 116.57/117.01 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.01 , 1, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 factor(
% 116.57/117.01 clause( 3445, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.01 , clause( 3439, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ), ~( =(
% 116.57/117.01 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.01 , 0, 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 subsumption(
% 116.57/117.01 clause( 310, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.01 , clause( 3445, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.01 ).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3452, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.01 , clause( 310, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.01 , 0, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 3456, [ =( identity, 'sk_c5' ), ~( =( 'sk_c5', 'sk_c6' ) ), ~( =(
% 116.57/117.01 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.01 , clause( 3452, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.01 , 1, clause( 309, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c6' ) ] )
% 116.57/117.01 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3485, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ), ~( =(
% 116.57/117.01 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.01 , clause( 3456, [ =( identity, 'sk_c5' ), ~( =( 'sk_c5', 'sk_c6' ) ), ~(
% 116.57/117.01 =( 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.01 , 1, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 factor(
% 116.57/117.01 clause( 3490, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.01 , clause( 3485, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ), ~(
% 116.57/117.01 =( 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.01 , 0, 2, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 subsumption(
% 116.57/117.01 clause( 312, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.01 , clause( 3490, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.01 ).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3493, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.01 , clause( 312, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.01 , 0, substitution( 0, [] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3496, [ =( X, multiply( X, identity ) ) ] )
% 116.57/117.01 , clause( 209, [ =( multiply( X, identity ), X ) ] )
% 116.57/117.01 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 paramod(
% 116.57/117.01 clause( 3497, [ =( X, multiply( X, 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c6' ) )
% 116.57/117.01 ] )
% 116.57/117.01 , clause( 3493, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.01 , 1, clause( 3496, [ =( X, multiply( X, identity ) ) ] )
% 116.57/117.01 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3499, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( X, multiply( X, 'sk_c5' ) )
% 116.57/117.01 ] )
% 116.57/117.01 , clause( 3497, [ =( X, multiply( X, 'sk_c5' ) ), ~( =( 'sk_c5', 'sk_c6' )
% 116.57/117.01 ) ] )
% 116.57/117.01 , 1, substitution( 0, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 eqswap(
% 116.57/117.01 clause( 3500, [ =( multiply( X, 'sk_c5' ), X ), ~( =( 'sk_c6', 'sk_c5' ) )
% 116.57/117.01 ] )
% 116.57/117.01 , clause( 3499, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( X, multiply( X, 'sk_c5' )
% 116.57/117.01 ) ] )
% 116.57/117.01 , 1, substitution( 0, [ :=( X, X )] )).
% 116.57/117.01
% 116.57/117.01
% 116.57/117.01 subsumption(
% 116.57/117.01 clause( 313, [ =( multiply( X, 'sk_c5' ), X ), ~( =( 'sk_c6', 'sk_c5' ) ) ]
% 116.57/117.01 )
% 116.57/117.01 , clause( 3500, [ =( multiply( X, 'sk_c5' ), X ), ~( =( 'sk_c6', 'sk_c5' )
% 116.57/117.02 ) ] )
% 116.57/117.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 116.57/117.02 1 )] ) ).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 eqswap(
% 116.57/117.02 clause( 3504, [ =( identity, inverse( identity ) ) ] )
% 116.57/117.02 , clause( 115, [ =( inverse( identity ), identity ) ] )
% 116.57/117.02 , 0, substitution( 0, [] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 paramod(
% 116.57/117.02 clause( 3530, [ =( identity, inverse( 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c5' )
% 116.57/117.02 ) ] )
% 116.57/117.02 , clause( 312, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.02 , 1, clause( 3504, [ =( identity, inverse( identity ) ) ] )
% 116.57/117.02 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 paramod(
% 116.57/117.02 clause( 3531, [ =( 'sk_c5', inverse( 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c5' )
% 116.57/117.02 ), ~( =( 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.02 , clause( 312, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.02 , 1, clause( 3530, [ =( identity, inverse( 'sk_c5' ) ), ~( =( 'sk_c6',
% 116.57/117.02 'sk_c5' ) ) ] )
% 116.57/117.02 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 eqswap(
% 116.57/117.02 clause( 3535, [ =( inverse( 'sk_c5' ), 'sk_c5' ), ~( =( 'sk_c6', 'sk_c5' )
% 116.57/117.02 ), ~( =( 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.02 , clause( 3531, [ =( 'sk_c5', inverse( 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c5'
% 116.57/117.02 ) ), ~( =( 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.02 , 0, substitution( 0, [] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 factor(
% 116.57/117.02 clause( 3539, [ =( inverse( 'sk_c5' ), 'sk_c5' ), ~( =( 'sk_c6', 'sk_c5' )
% 116.57/117.02 ) ] )
% 116.57/117.02 , clause( 3535, [ =( inverse( 'sk_c5' ), 'sk_c5' ), ~( =( 'sk_c6', 'sk_c5'
% 116.57/117.02 ) ), ~( =( 'sk_c6', 'sk_c5' ) ) ] )
% 116.57/117.02 , 1, 2, substitution( 0, [] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 subsumption(
% 116.57/117.02 clause( 315, [ =( inverse( 'sk_c5' ), 'sk_c5' ), ~( =( 'sk_c6', 'sk_c5' ) )
% 116.57/117.02 ] )
% 116.57/117.02 , clause( 3539, [ =( inverse( 'sk_c5' ), 'sk_c5' ), ~( =( 'sk_c6', 'sk_c5'
% 116.57/117.02 ) ) ] )
% 116.57/117.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.57/117.02 ).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 eqswap(
% 116.57/117.02 clause( 3541, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.02 , clause( 312, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.02 , 0, substitution( 0, [] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 eqswap(
% 116.57/117.02 clause( 3544, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 116.57/117.02 , clause( 113, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 116.57/117.02 , 0, substitution( 0, [ :=( X, X )] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 paramod(
% 116.57/117.02 clause( 3546, [ =( X, multiply( inverse( inverse( 'sk_c5' ) ), X ) ), ~(
% 116.57/117.02 =( 'sk_c5', 'sk_c6' ) ) ] )
% 116.57/117.02 , clause( 3541, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( identity, 'sk_c5' ) ] )
% 116.57/117.02 , 1, clause( 3544, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 116.57/117.02 ] )
% 116.57/117.02 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 paramod(
% 116.57/117.02 clause( 3547, [ =( X, multiply( 'sk_c5', X ) ), ~( =( 'sk_c5', 'sk_c6' ) )
% 116.57/117.02 ] )
% 116.57/117.02 , clause( 122, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 116.57/117.02 ) ) ] )
% 116.57/117.02 , 0, clause( 3546, [ =( X, multiply( inverse( inverse( 'sk_c5' ) ), X ) ),
% 116.57/117.02 ~( =( 'sk_c5', 'sk_c6' ) ) ] )
% 116.57/117.02 , 0, 2, substitution( 0, [ :=( X, 'sk_c5' ), :=( Y, X )] ), substitution( 1
% 116.57/117.02 , [ :=( X, X )] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 eqswap(
% 116.57/117.02 clause( 3549, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( X, multiply( 'sk_c5', X ) )
% 116.57/117.02 ] )
% 116.57/117.02 , clause( 3547, [ =( X, multiply( 'sk_c5', X ) ), ~( =( 'sk_c5', 'sk_c6' )
% 116.57/117.02 ) ] )
% 116.57/117.02 , 1, substitution( 0, [ :=( X, X )] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 eqswap(
% 116.57/117.02 clause( 3550, [ =( multiply( 'sk_c5', X ), X ), ~( =( 'sk_c6', 'sk_c5' ) )
% 116.57/117.02 ] )
% 116.57/117.02 , clause( 3549, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( X, multiply( 'sk_c5', X )
% 116.57/117.02 ) ] )
% 116.57/117.02 , 1, substitution( 0, [ :=( X, X )] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 subsumption(
% 116.57/117.02 clause( 316, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( multiply( 'sk_c5', X ), X ) ]
% 116.57/117.02 )
% 116.57/117.02 , clause( 3550, [ =( multiply( 'sk_c5', X ), X ), ~( =( 'sk_c6', 'sk_c5' )
% 116.57/117.02 ) ] )
% 116.57/117.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 116.57/117.02 0 )] ) ).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 eqswap(
% 116.57/117.02 clause( 3551, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.02 , clause( 310, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.57/117.02 , 0, substitution( 0, [] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 eqswap(
% 116.57/117.02 clause( 3554, [ =( 'sk_c5', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 116.57/117.02 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.02 , clause( 160, [ =( multiply( 'sk_c3', 'sk_c6' ), 'sk_c5' ), =( inverse(
% 116.57/117.02 'sk_c4' ), 'sk_c7' ) ] )
% 116.57/117.02 , 0, substitution( 0, [] )).
% 116.57/117.02
% 116.57/117.02
% 116.57/117.02 eqswap(
% 116.57/117.02 clause( 3558, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( multiply( X, 'sk_c5' )
% 116.57/117.02 , X ) ] )
% 116.57/117.02 , clause( 305, [ =( multiply( X, 'sk_c5' ), X ), =( inverse( 'sk_c4' ),
% 116.57/117.02 'sk_c7' ) ] )
% 116.57/117.02 , 1, substitution( 0, [ :=( X, X )] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 eqswap(
% 116.87/117.28 clause( 3560, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 116.87/117.28 )
% 116.87/117.28 , clause( 293, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c6', 'sk_c5' ) ]
% 116.87/117.28 )
% 116.87/117.28 , 0, substitution( 0, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 paramod(
% 116.87/117.28 clause( 3563, [ =( 'sk_c5', multiply( 'sk_c3', 'sk_c5' ) ), ~( =( 'sk_c5',
% 116.87/117.28 'sk_c6' ) ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , clause( 3551, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.87/117.28 , 1, clause( 3554, [ =( 'sk_c5', multiply( 'sk_c3', 'sk_c6' ) ), =( inverse(
% 116.87/117.28 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 paramod(
% 116.87/117.28 clause( 4429, [ =( 'sk_c5', 'sk_c3' ), =( 'sk_c7', inverse( 'sk_c4' ) ),
% 116.87/117.28 ~( =( 'sk_c5', 'sk_c6' ) ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , clause( 3558, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( multiply( X, 'sk_c5'
% 116.87/117.28 ), X ) ] )
% 116.87/117.28 , 1, clause( 3563, [ =( 'sk_c5', multiply( 'sk_c3', 'sk_c5' ) ), ~( =(
% 116.87/117.28 'sk_c5', 'sk_c6' ) ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , 0, 2, substitution( 0, [ :=( X, 'sk_c3' )] ), substitution( 1, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 paramod(
% 116.87/117.28 clause( 4430, [ ~( =( 'sk_c5', 'sk_c5' ) ), =( 'sk_c7', inverse( 'sk_c4' )
% 116.87/117.28 ), =( 'sk_c5', 'sk_c3' ), =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse(
% 116.87/117.28 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , clause( 3560, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 116.87/117.28 )
% 116.87/117.28 , 1, clause( 4429, [ =( 'sk_c5', 'sk_c3' ), =( 'sk_c7', inverse( 'sk_c4' )
% 116.87/117.28 ), ~( =( 'sk_c5', 'sk_c6' ) ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , 2, 3, substitution( 0, [] ), substitution( 1, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 factor(
% 116.87/117.28 clause( 4431, [ ~( =( 'sk_c5', 'sk_c5' ) ), =( 'sk_c7', inverse( 'sk_c4' )
% 116.87/117.28 ), =( 'sk_c5', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , clause( 4430, [ ~( =( 'sk_c5', 'sk_c5' ) ), =( 'sk_c7', inverse( 'sk_c4'
% 116.87/117.28 ) ), =( 'sk_c5', 'sk_c3' ), =( 'sk_c7', inverse( 'sk_c4' ) ), =( inverse(
% 116.87/117.28 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , 1, 3, substitution( 0, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 eqrefl(
% 116.87/117.28 clause( 4432, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( 'sk_c5', 'sk_c3' ),
% 116.87/117.28 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , clause( 4431, [ ~( =( 'sk_c5', 'sk_c5' ) ), =( 'sk_c7', inverse( 'sk_c4'
% 116.87/117.28 ) ), =( 'sk_c5', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , 0, substitution( 0, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 eqswap(
% 116.87/117.28 clause( 4434, [ =( 'sk_c3', 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c4' ) ),
% 116.87/117.28 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , clause( 4432, [ =( 'sk_c7', inverse( 'sk_c4' ) ), =( 'sk_c5', 'sk_c3' ),
% 116.87/117.28 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , 1, substitution( 0, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 eqswap(
% 116.87/117.28 clause( 4437, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c3', 'sk_c5' ),
% 116.87/117.28 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , clause( 4434, [ =( 'sk_c3', 'sk_c5' ), =( 'sk_c7', inverse( 'sk_c4' ) ),
% 116.87/117.28 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , 1, substitution( 0, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 factor(
% 116.87/117.28 clause( 4439, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c3', 'sk_c5' ) ]
% 116.87/117.28 )
% 116.87/117.28 , clause( 4437, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c3', 'sk_c5' ),
% 116.87/117.28 =( inverse( 'sk_c4' ), 'sk_c7' ) ] )
% 116.87/117.28 , 0, 2, substitution( 0, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 subsumption(
% 116.87/117.28 clause( 317, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c3', 'sk_c5' ) ] )
% 116.87/117.28 , clause( 4439, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c3', 'sk_c5' ) ]
% 116.87/117.28 )
% 116.87/117.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.87/117.28 ).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 eqswap(
% 116.87/117.28 clause( 4443, [ =( 'sk_c6', identity ), =( identity, 'sk_c5' ) ] )
% 116.87/117.28 , clause( 303, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 116.87/117.28 , 1, substitution( 0, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 eqswap(
% 116.87/117.28 clause( 4445, [ =( identity, inverse( identity ) ) ] )
% 116.87/117.28 , clause( 115, [ =( inverse( identity ), identity ) ] )
% 116.87/117.28 , 0, substitution( 0, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 paramod(
% 116.87/117.28 clause( 12568, [ =( identity, inverse( 'sk_c5' ) ), =( 'sk_c6', identity )
% 116.87/117.28 ] )
% 116.87/117.28 , clause( 4443, [ =( 'sk_c6', identity ), =( identity, 'sk_c5' ) ] )
% 116.87/117.28 , 1, clause( 4445, [ =( identity, inverse( identity ) ) ] )
% 116.87/117.28 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 116.87/117.28
% 116.87/117.28
% 116.87/117.28 paramod(
% 116.87/117.28 clause( 12597, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =( 'sk_c6'
% 116.87/117.28 , identity ) ] )
% 116.87/117.28 , clause( 291, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( identity, 'sk_c6' ) ]
% 116.87/117.28 )
% 116.87/117.28 , 0, clause( 12568, [ =( identity, inverse( 'sk_c5' ) ), =( 'sk_c6',
% 116.87/117.28 identity ) ] )
% 116.87/117.28 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 12616, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 116.87/117.29 identity, 'sk_c6' ) ] )
% 116.87/117.29 , clause( 12597, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 116.87/117.29 'sk_c6', identity ) ] )
% 116.87/117.29 , 2, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 factor(
% 116.87/117.29 clause( 12682, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 116.87/117.29 , clause( 12616, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ), =(
% 116.87/117.29 identity, 'sk_c6' ) ] )
% 116.87/117.29 , 0, 1, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 subsumption(
% 116.87/117.29 clause( 324, [ =( identity, 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.87/117.29 , clause( 12682, [ =( identity, 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 116.87/117.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 116.87/117.29 ).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 12687, [ =( identity, inverse( identity ) ) ] )
% 116.87/117.29 , clause( 115, [ =( inverse( identity ), identity ) ] )
% 116.87/117.29 , 0, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 paramod(
% 116.87/117.29 clause( 12867, [ =( identity, inverse( 'sk_c6' ) ), =( identity, 'sk_c5' )
% 116.87/117.29 ] )
% 116.87/117.29 , clause( 303, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 116.87/117.29 , 1, clause( 12687, [ =( identity, inverse( identity ) ) ] )
% 116.87/117.29 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 paramod(
% 116.87/117.29 clause( 12870, [ =( 'sk_c6', inverse( 'sk_c6' ) ), =( identity, 'sk_c5' ),
% 116.87/117.29 =( identity, 'sk_c5' ) ] )
% 116.87/117.29 , clause( 303, [ =( identity, 'sk_c5' ), =( identity, 'sk_c6' ) ] )
% 116.87/117.29 , 1, clause( 12867, [ =( identity, inverse( 'sk_c6' ) ), =( identity,
% 116.87/117.29 'sk_c5' ) ] )
% 116.87/117.29 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 12911, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( identity, 'sk_c5' ),
% 116.87/117.29 =( identity, 'sk_c5' ) ] )
% 116.87/117.29 , clause( 12870, [ =( 'sk_c6', inverse( 'sk_c6' ) ), =( identity, 'sk_c5' )
% 116.87/117.29 , =( identity, 'sk_c5' ) ] )
% 116.87/117.29 , 0, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 factor(
% 116.87/117.29 clause( 13014, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 12911, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( identity, 'sk_c5' )
% 116.87/117.29 , =( identity, 'sk_c5' ) ] )
% 116.87/117.29 , 1, 2, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 subsumption(
% 116.87/117.29 clause( 325, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 13014, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( identity, 'sk_c5' )
% 116.87/117.29 ] )
% 116.87/117.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.87/117.29 ).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13017, [ =( 'sk_c5', 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 116.87/117.29 , clause( 324, [ =( identity, 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.87/117.29 , 1, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13019, [ =( X, multiply( X, identity ) ) ] )
% 116.87/117.29 , clause( 209, [ =( multiply( X, identity ), X ) ] )
% 116.87/117.29 , 0, substitution( 0, [ :=( X, X )] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 paramod(
% 116.87/117.29 clause( 13020, [ =( X, multiply( X, 'sk_c6' ) ), =( 'sk_c5', 'sk_c6' ) ] )
% 116.87/117.29 , clause( 13017, [ =( 'sk_c5', 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 116.87/117.29 , 1, clause( 13019, [ =( X, multiply( X, identity ) ) ] )
% 116.87/117.29 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13022, [ =( 'sk_c6', 'sk_c5' ), =( X, multiply( X, 'sk_c6' ) ) ] )
% 116.87/117.29 , clause( 13020, [ =( X, multiply( X, 'sk_c6' ) ), =( 'sk_c5', 'sk_c6' ) ]
% 116.87/117.29 )
% 116.87/117.29 , 1, substitution( 0, [ :=( X, X )] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13023, [ =( multiply( X, 'sk_c6' ), X ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.87/117.29 , clause( 13022, [ =( 'sk_c6', 'sk_c5' ), =( X, multiply( X, 'sk_c6' ) ) ]
% 116.87/117.29 )
% 116.87/117.29 , 1, substitution( 0, [ :=( X, X )] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 subsumption(
% 116.87/117.29 clause( 329, [ =( multiply( X, 'sk_c6' ), X ), =( 'sk_c6', 'sk_c5' ) ] )
% 116.87/117.29 , clause( 13023, [ =( multiply( X, 'sk_c6' ), X ), =( 'sk_c6', 'sk_c5' ) ]
% 116.87/117.29 )
% 116.87/117.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 116.87/117.29 1 )] ) ).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13025, [ =( 'sk_c5', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c7' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 317, [ =( inverse( 'sk_c4' ), 'sk_c7' ), =( 'sk_c3', 'sk_c5' ) ]
% 116.87/117.29 )
% 116.87/117.29 , 1, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13027, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.87/117.29 , clause( 241, [ =( inverse( inverse( X ) ), X ) ] )
% 116.87/117.29 , 0, substitution( 0, [ :=( X, X )] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 paramod(
% 116.87/117.29 clause( 13028, [ =( 'sk_c4', inverse( 'sk_c7' ) ), =( 'sk_c5', 'sk_c3' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 13025, [ =( 'sk_c5', 'sk_c3' ), =( inverse( 'sk_c4' ), 'sk_c7' )
% 116.87/117.29 ] )
% 116.87/117.29 , 1, clause( 13027, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.87/117.29 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c4' )] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13030, [ =( 'sk_c3', 'sk_c5' ), =( 'sk_c4', inverse( 'sk_c7' ) ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 13028, [ =( 'sk_c4', inverse( 'sk_c7' ) ), =( 'sk_c5', 'sk_c3' )
% 116.87/117.29 ] )
% 116.87/117.29 , 1, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13031, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( 'sk_c3', 'sk_c5' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 13030, [ =( 'sk_c3', 'sk_c5' ), =( 'sk_c4', inverse( 'sk_c7' ) )
% 116.87/117.29 ] )
% 116.87/117.29 , 1, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 subsumption(
% 116.87/117.29 clause( 357, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( 'sk_c3', 'sk_c5' ) ] )
% 116.87/117.29 , clause( 13031, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( 'sk_c3', 'sk_c5' )
% 116.87/117.29 ] )
% 116.87/117.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.87/117.29 ).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13032, [ =( 'sk_c4', inverse( 'sk_c7' ) ), =( 'sk_c3', 'sk_c5' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 357, [ =( inverse( 'sk_c7' ), 'sk_c4' ), =( 'sk_c3', 'sk_c5' ) ]
% 116.87/117.29 )
% 116.87/117.29 , 0, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13035, [ =( 'sk_c6', inverse( 'sk_c3' ) ), =( inverse( 'sk_c5' ),
% 116.87/117.29 'sk_c6' ) ] )
% 116.87/117.29 , clause( 17, [ =( inverse( 'sk_c3' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 116.87/117.29 'sk_c6' ) ] )
% 116.87/117.29 , 0, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 paramod(
% 116.87/117.29 clause( 13041, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( 'sk_c4', inverse(
% 116.87/117.29 'sk_c7' ) ), =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.87/117.29 , clause( 13032, [ =( 'sk_c4', inverse( 'sk_c7' ) ), =( 'sk_c3', 'sk_c5' )
% 116.87/117.29 ] )
% 116.87/117.29 , 1, clause( 13035, [ =( 'sk_c6', inverse( 'sk_c3' ) ), =( inverse( 'sk_c5'
% 116.87/117.29 ), 'sk_c6' ) ] )
% 116.87/117.29 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 paramod(
% 116.87/117.29 clause( 13067, [ =( 'sk_c4', 'sk_c1' ), =( inverse( 'sk_c5' ), 'sk_c6' ),
% 116.87/117.29 =( 'sk_c6', inverse( 'sk_c5' ) ), =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.87/117.29 , clause( 264, [ =( inverse( 'sk_c7' ), 'sk_c1' ), =( inverse( 'sk_c5' ),
% 116.87/117.29 'sk_c6' ) ] )
% 116.87/117.29 , 0, clause( 13041, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( 'sk_c4', inverse(
% 116.87/117.29 'sk_c7' ) ), =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.87/117.29 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13088, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c4', 'sk_c1' ),
% 116.87/117.29 =( inverse( 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.87/117.29 , clause( 13067, [ =( 'sk_c4', 'sk_c1' ), =( inverse( 'sk_c5' ), 'sk_c6' )
% 116.87/117.29 , =( 'sk_c6', inverse( 'sk_c5' ) ), =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.87/117.29 , 2, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 factor(
% 116.87/117.29 clause( 13251, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c4', 'sk_c1' ),
% 116.87/117.29 =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.87/117.29 , clause( 13088, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c4', 'sk_c1' )
% 116.87/117.29 , =( inverse( 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.87/117.29 , 0, 2, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 factor(
% 116.87/117.29 clause( 13252, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c4', 'sk_c1' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 13251, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c4', 'sk_c1' )
% 116.87/117.29 , =( inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 116.87/117.29 , 0, 2, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 subsumption(
% 116.87/117.29 clause( 368, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c4', 'sk_c1' ) ] )
% 116.87/117.29 , clause( 13252, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c4', 'sk_c1' )
% 116.87/117.29 ] )
% 116.87/117.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 116.87/117.29 ).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13254, [ =( 'sk_c1', 'sk_c4' ), =( inverse( 'sk_c5' ), 'sk_c6' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 368, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c4', 'sk_c1' ) ]
% 116.87/117.29 )
% 116.87/117.29 , 1, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13256, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.87/117.29 , clause( 241, [ =( inverse( inverse( X ) ), X ) ] )
% 116.87/117.29 , 0, substitution( 0, [ :=( X, X )] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 paramod(
% 116.87/117.29 clause( 13257, [ =( 'sk_c5', inverse( 'sk_c6' ) ), =( 'sk_c1', 'sk_c4' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 13254, [ =( 'sk_c1', 'sk_c4' ), =( inverse( 'sk_c5' ), 'sk_c6' )
% 116.87/117.29 ] )
% 116.87/117.29 , 1, clause( 13256, [ =( X, inverse( inverse( X ) ) ) ] )
% 116.87/117.29 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sk_c5' )] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13259, [ =( 'sk_c4', 'sk_c1' ), =( 'sk_c5', inverse( 'sk_c6' ) ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 13257, [ =( 'sk_c5', inverse( 'sk_c6' ) ), =( 'sk_c1', 'sk_c4' )
% 116.87/117.29 ] )
% 116.87/117.29 , 1, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 eqswap(
% 116.87/117.29 clause( 13260, [ =( inverse( 'sk_c6' ), 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ]
% 116.87/117.29 )
% 116.87/117.29 , clause( 13259, [ =( 'sk_c4', 'sk_c1' ), =( 'sk_c5', inverse( 'sk_c6' ) )
% 116.87/117.29 ] )
% 116.87/117.29 , 1, substitution( 0, [] )).
% 116.87/117.29
% 116.87/117.29
% 116.87/117.29 subsumption(
% 116.87/117.29 clause( 370, [ =( inverse( 'sk_c6' ), 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ] )
% 120.06/120.47 , clause( 13260, [ =( inverse( 'sk_c6' ), 'sk_c5' ), =( 'sk_c4', 'sk_c1' )
% 120.06/120.47 ] )
% 120.06/120.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 120.06/120.47 ).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 eqswap(
% 120.06/120.47 clause( 13261, [ =( 'sk_c5', inverse( 'sk_c6' ) ), =( 'sk_c4', 'sk_c1' ) ]
% 120.06/120.47 )
% 120.06/120.47 , clause( 370, [ =( inverse( 'sk_c6' ), 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ]
% 120.06/120.47 )
% 120.06/120.47 , 0, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 eqswap(
% 120.06/120.47 clause( 13265, [ =( 'sk_c5', identity ), =( inverse( 'sk_c6' ), 'sk_c6' ) ]
% 120.06/120.47 )
% 120.06/120.47 , clause( 325, [ =( inverse( 'sk_c6' ), 'sk_c6' ), =( identity, 'sk_c5' ) ]
% 120.06/120.47 )
% 120.06/120.47 , 1, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 eqswap(
% 120.06/120.47 clause( 13268, [ =( 'sk_c5', 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 120.06/120.47 , clause( 324, [ =( identity, 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ] )
% 120.06/120.47 , 1, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 eqswap(
% 120.06/120.47 clause( 13270, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 120.06/120.47 , clause( 310, [ ~( =( 'sk_c6', 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 120.06/120.47 , 0, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 paramod(
% 120.06/120.47 clause( 13273, [ =( 'sk_c5', 'sk_c6' ), =( 'sk_c5', identity ), =( 'sk_c4'
% 120.06/120.47 , 'sk_c1' ) ] )
% 120.06/120.47 , clause( 13265, [ =( 'sk_c5', identity ), =( inverse( 'sk_c6' ), 'sk_c6' )
% 120.06/120.47 ] )
% 120.06/120.47 , 1, clause( 13261, [ =( 'sk_c5', inverse( 'sk_c6' ) ), =( 'sk_c4', 'sk_c1'
% 120.06/120.47 ) ] )
% 120.06/120.47 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 paramod(
% 120.06/120.47 clause( 13285, [ =( 'sk_c5', 'sk_c6' ), =( 'sk_c5', 'sk_c6' ), =( 'sk_c5',
% 120.06/120.47 'sk_c6' ), =( 'sk_c4', 'sk_c1' ) ] )
% 120.06/120.47 , clause( 13268, [ =( 'sk_c5', 'sk_c6' ), =( identity, 'sk_c6' ) ] )
% 120.06/120.47 , 1, clause( 13273, [ =( 'sk_c5', 'sk_c6' ), =( 'sk_c5', identity ), =(
% 120.06/120.47 'sk_c4', 'sk_c1' ) ] )
% 120.06/120.47 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 factor(
% 120.06/120.47 clause( 13286, [ =( 'sk_c5', 'sk_c6' ), =( 'sk_c5', 'sk_c6' ), =( 'sk_c4',
% 120.06/120.47 'sk_c1' ) ] )
% 120.06/120.47 , clause( 13285, [ =( 'sk_c5', 'sk_c6' ), =( 'sk_c5', 'sk_c6' ), =( 'sk_c5'
% 120.06/120.47 , 'sk_c6' ), =( 'sk_c4', 'sk_c1' ) ] )
% 120.06/120.47 , 0, 1, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 factor(
% 120.06/120.47 clause( 13287, [ =( 'sk_c5', 'sk_c6' ), =( 'sk_c4', 'sk_c1' ) ] )
% 120.06/120.47 , clause( 13286, [ =( 'sk_c5', 'sk_c6' ), =( 'sk_c5', 'sk_c6' ), =( 'sk_c4'
% 120.06/120.47 , 'sk_c1' ) ] )
% 120.06/120.47 , 0, 1, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 resolution(
% 120.06/120.47 clause( 13288, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ] )
% 120.06/120.47 , clause( 13270, [ ~( =( 'sk_c5', 'sk_c6' ) ), =( 'sk_c6', 'sk_c5' ) ] )
% 120.06/120.47 , 0, clause( 13287, [ =( 'sk_c5', 'sk_c6' ), =( 'sk_c4', 'sk_c1' ) ] )
% 120.06/120.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 subsumption(
% 120.06/120.47 clause( 373, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ] )
% 120.06/120.47 , clause( 13288, [ =( 'sk_c6', 'sk_c5' ), =( 'sk_c4', 'sk_c1' ) ] )
% 120.06/120.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 120.06/120.47 ).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 eqswap(
% 120.06/120.47 clause( 13292, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( 'sk_c6', 'sk_c5' ) ]
% 120.06/120.47 )
% 120.06/120.47 , clause( 295, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c6', 'sk_c5' ) ]
% 120.06/120.47 )
% 120.06/120.47 , 0, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 eqswap(
% 120.06/120.47 clause( 13295, [ =( 'sk_c5', inverse( 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c5' )
% 120.06/120.47 ) ] )
% 120.06/120.47 , clause( 315, [ =( inverse( 'sk_c5' ), 'sk_c5' ), ~( =( 'sk_c6', 'sk_c5' )
% 120.06/120.47 ) ] )
% 120.06/120.47 , 0, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 resolution(
% 120.06/120.47 clause( 13298, [ =( 'sk_c5', inverse( 'sk_c5' ) ), =( 'sk_c6', inverse(
% 120.06/120.47 'sk_c5' ) ) ] )
% 120.06/120.47 , clause( 13295, [ =( 'sk_c5', inverse( 'sk_c5' ) ), ~( =( 'sk_c6', 'sk_c5'
% 120.06/120.47 ) ) ] )
% 120.06/120.47 , 1, clause( 13292, [ =( 'sk_c6', inverse( 'sk_c5' ) ), =( 'sk_c6', 'sk_c5'
% 120.06/120.47 ) ] )
% 120.06/120.47 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 eqswap(
% 120.06/120.47 clause( 13300, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c5', inverse(
% 120.06/120.47 'sk_c5' ) ) ] )
% 120.06/120.47 , clause( 13298, [ =( 'sk_c5', inverse( 'sk_c5' ) ), =( 'sk_c6', inverse(
% 120.06/120.47 'sk_c5' ) ) ] )
% 120.06/120.47 , 1, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 eqswap(
% 120.06/120.47 clause( 13301, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c5' ),
% 120.06/120.47 'sk_c6' ) ] )
% 120.06/120.47 , clause( 13300, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c5', inverse(
% 120.06/120.47 'sk_c5' ) ) ] )
% 120.06/120.47 , 1, substitution( 0, [] )).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 subsumption(
% 120.06/120.47 clause( 443, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( inverse( 'sk_c5' ),
% 120.06/120.47 'sk_c5' ) ] )
% 120.06/120.47 , clause( 13301, [ =( inverse( 'sk_c5' ), 'sk_c5' ), =( inverse( 'sk_c5' )
% 120.06/120.47 , 'sk_c6' ) ] )
% 120.06/120.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 120.06/120.47 ).
% 120.06/120.47
% 120.06/120.47
% 120.06/120.47 eqswap(
% 120.06/120.47 clause( 13303, [ =( 'sk_c5', 'sk_c6' ),Cputime limit exceeded (core dumped) (core dumped)
% 300.01/300.42 Bliksem ended
% 300.01/300.42 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------