TSTP Solution File: GRP404-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP404-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 07:36:49 EDT 2022
% Result : Unsatisfiable 1.19s 1.63s
% Output : Refutation 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP404-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.10 % Command : bliksem %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % DateTime : Tue Jun 14 01:39:57 EDT 2022
% 0.11/0.30 % CPUTime :
% 1.19/1.63 *** allocated 10000 integers for termspace/termends
% 1.19/1.63 *** allocated 10000 integers for clauses
% 1.19/1.63 *** allocated 10000 integers for justifications
% 1.19/1.63 Bliksem 1.12
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Automatic Strategy Selection
% 1.19/1.63
% 1.19/1.63 Clauses:
% 1.19/1.63 [
% 1.19/1.63 [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply( inverse( Y ),
% 1.19/1.63 Y ) ) ) ) ) ), Z ) ],
% 1.19/1.63 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 1.19/1.63 ] .
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 percentage equality = 1.000000, percentage horn = 1.000000
% 1.19/1.63 This is a pure equality problem
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Options Used:
% 1.19/1.63
% 1.19/1.63 useres = 1
% 1.19/1.63 useparamod = 1
% 1.19/1.63 useeqrefl = 1
% 1.19/1.63 useeqfact = 1
% 1.19/1.63 usefactor = 1
% 1.19/1.63 usesimpsplitting = 0
% 1.19/1.63 usesimpdemod = 5
% 1.19/1.63 usesimpres = 3
% 1.19/1.63
% 1.19/1.63 resimpinuse = 1000
% 1.19/1.63 resimpclauses = 20000
% 1.19/1.63 substype = eqrewr
% 1.19/1.63 backwardsubs = 1
% 1.19/1.63 selectoldest = 5
% 1.19/1.63
% 1.19/1.63 litorderings [0] = split
% 1.19/1.63 litorderings [1] = extend the termordering, first sorting on arguments
% 1.19/1.63
% 1.19/1.63 termordering = kbo
% 1.19/1.63
% 1.19/1.63 litapriori = 0
% 1.19/1.63 termapriori = 1
% 1.19/1.63 litaposteriori = 0
% 1.19/1.63 termaposteriori = 0
% 1.19/1.63 demodaposteriori = 0
% 1.19/1.63 ordereqreflfact = 0
% 1.19/1.63
% 1.19/1.63 litselect = negord
% 1.19/1.63
% 1.19/1.63 maxweight = 15
% 1.19/1.63 maxdepth = 30000
% 1.19/1.63 maxlength = 115
% 1.19/1.63 maxnrvars = 195
% 1.19/1.63 excuselevel = 1
% 1.19/1.63 increasemaxweight = 1
% 1.19/1.63
% 1.19/1.63 maxselected = 10000000
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63
% 1.19/1.63 showgenerated = 0
% 1.19/1.63 showkept = 0
% 1.19/1.63 showselected = 0
% 1.19/1.63 showdeleted = 0
% 1.19/1.63 showresimp = 1
% 1.19/1.63 showstatus = 2000
% 1.19/1.63
% 1.19/1.63 prologoutput = 1
% 1.19/1.63 nrgoals = 5000000
% 1.19/1.63 totalproof = 1
% 1.19/1.63
% 1.19/1.63 Symbols occurring in the translation:
% 1.19/1.63
% 1.19/1.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.19/1.63 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 1.19/1.63 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.19/1.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.19/1.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.19/1.63 multiply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.19/1.63 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.19/1.63 b2 [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.19/1.63 a2 [45, 0] (w:1, o:12, a:1, s:1, b:0).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 15
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 103
% 1.19/1.63 Kept: 4
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 16
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 16
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 103
% 1.19/1.63 Kept: 4
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 17
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 17
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 103
% 1.19/1.63 Kept: 4
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 18
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 18
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 103
% 1.19/1.63 Kept: 4
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 19
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 19
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 103
% 1.19/1.63 Kept: 4
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 20
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 20
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 130
% 1.19/1.63 Kept: 5
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 21
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 21
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 130
% 1.19/1.63 Kept: 5
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 22
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 22
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 484
% 1.19/1.63 Kept: 9
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 23
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 23
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 484
% 1.19/1.63 Kept: 9
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 24
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 24
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 484
% 1.19/1.63 Kept: 9
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 25
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 25
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 484
% 1.19/1.63 Kept: 9
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 26
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 26
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 360
% 1.19/1.63 Kept: 9
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 27
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 27
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 970
% 1.19/1.63 Kept: 12
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 28
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Failed to find proof!
% 1.19/1.63 maxweight = 28
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63 Generated: 1980
% 1.19/1.63 Kept: 17
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 The strategy used was not complete!
% 1.19/1.63
% 1.19/1.63 Increased maxweight to 29
% 1.19/1.63
% 1.19/1.63 Starting Search:
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 12223
% 1.19/1.63 Kept: 2109
% 1.19/1.63 Inuse: 59
% 1.19/1.63 Deleted: 19
% 1.19/1.63 Deletedinuse: 13
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 19510
% 1.19/1.63 Kept: 4118
% 1.19/1.63 Inuse: 77
% 1.19/1.63 Deleted: 23
% 1.19/1.63 Deletedinuse: 14
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 28830
% 1.19/1.63 Kept: 6262
% 1.19/1.63 Inuse: 93
% 1.19/1.63 Deleted: 23
% 1.19/1.63 Deletedinuse: 14
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 35086
% 1.19/1.63 Kept: 8325
% 1.19/1.63 Inuse: 105
% 1.19/1.63 Deleted: 24
% 1.19/1.63 Deletedinuse: 14
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 47831
% 1.19/1.63 Kept: 10583
% 1.19/1.63 Inuse: 117
% 1.19/1.63 Deleted: 24
% 1.19/1.63 Deletedinuse: 14
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 55175
% 1.19/1.63 Kept: 12630
% 1.19/1.63 Inuse: 123
% 1.19/1.63 Deleted: 24
% 1.19/1.63 Deletedinuse: 14
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 64131
% 1.19/1.63 Kept: 14707
% 1.19/1.63 Inuse: 131
% 1.19/1.63 Deleted: 24
% 1.19/1.63 Deletedinuse: 14
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 80507
% 1.19/1.63 Kept: 17201
% 1.19/1.63 Inuse: 148
% 1.19/1.63 Deleted: 27
% 1.19/1.63 Deletedinuse: 17
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 90252
% 1.19/1.63 Kept: 19238
% 1.19/1.63 Inuse: 157
% 1.19/1.63 Deleted: 30
% 1.19/1.63 Deletedinuse: 18
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying clauses:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 100866
% 1.19/1.63 Kept: 21339
% 1.19/1.63 Inuse: 165
% 1.19/1.63 Deleted: 652
% 1.19/1.63 Deletedinuse: 18
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 112612
% 1.19/1.63 Kept: 23472
% 1.19/1.63 Inuse: 172
% 1.19/1.63 Deleted: 656
% 1.19/1.63 Deletedinuse: 20
% 1.19/1.63
% 1.19/1.63 Resimplifying inuse:
% 1.19/1.63 Done
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Intermediate Status:
% 1.19/1.63 Generated: 120645
% 1.19/1.63 Kept: 25629
% 1.19/1.63 Inuse: 180
% 1.19/1.63 Deleted: 657
% 1.19/1.63 Deletedinuse: 21
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Bliksems!, er is een bewijs:
% 1.19/1.63 % SZS status Unsatisfiable
% 1.19/1.63 % SZS output start Refutation
% 1.19/1.63
% 1.19/1.63 clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply( inverse( Y ),
% 1.19/1.63 Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 1, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 1.19/1.63 )
% 1.19/1.63 .
% 1.19/1.63 clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 1.19/1.63 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 1.19/1.63 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 1.19/1.63 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 3, [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 Z ), T ) ), inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ), multiply( inverse( inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.63 multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.63 multiply( inverse( Y ), Y ) ) ) ) ) ) ) ) ) ) ), T ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 1.19/1.63 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 1.19/1.63 ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, inverse(
% 1.19/1.63 multiply( inverse( T ), inverse( multiply( Y, multiply( inverse( Y ), Y )
% 1.19/1.63 ) ) ) ) ) ), T ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply( T
% 1.19/1.63 , U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse( U
% 1.19/1.63 ), U ) ) ) ) ), W ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ),
% 1.19/1.63 multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 9, [ =( multiply( inverse( multiply( X, Y ) ), inverse( multiply( Z
% 1.19/1.63 , inverse( multiply( multiply( X, Z ), multiply( inverse( multiply( X, Z
% 1.19/1.63 ) ), multiply( X, Z ) ) ) ) ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 10, [ =( multiply( inverse( multiply( inverse( multiply( T, Y ) ),
% 1.19/1.63 multiply( T, Z ) ) ), multiply( inverse( multiply( X, Y ) ), U ) ),
% 1.19/1.63 multiply( inverse( multiply( W, multiply( X, Z ) ) ), multiply( W, U ) )
% 1.19/1.63 ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 13, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 1.19/1.63 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 1.19/1.63 multiply( U, T ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 17, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) ),
% 1.19/1.63 multiply( X, inverse( Z ) ) ) ), inverse( multiply( Y, multiply( inverse(
% 1.19/1.63 Y ), Y ) ) ) ), Z ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 21, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 1.19/1.63 T, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( T
% 1.19/1.63 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 1.19/1.63 ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 25, [ =( multiply( Z, multiply( inverse( T ), T ) ), multiply(
% 1.19/1.63 inverse( multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) )
% 1.19/1.63 ) ) ), multiply( U, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 1.19/1.63 Z ) ) ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 43, [ =( multiply( inverse( multiply( inverse( Z ), Z ) ), inverse(
% 1.19/1.63 multiply( inverse( Y ), multiply( inverse( inverse( Y ) ), inverse( Y ) )
% 1.19/1.63 ) ) ), Y ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 54, [ =( multiply( inverse( multiply( inverse( multiply( Z, T ) ),
% 1.19/1.63 multiply( Z, X ) ) ), multiply( inverse( multiply( inverse( X ), T ) ), U
% 1.19/1.63 ) ), multiply( inverse( multiply( W, multiply( inverse( Y ), Y ) ) ),
% 1.19/1.63 multiply( W, U ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 58, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z ) )
% 1.19/1.63 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), Y ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 61, [ =( inverse( multiply( inverse( multiply( inverse( multiply( Z
% 1.19/1.63 , X ) ), multiply( Z, T ) ) ), inverse( multiply( X, multiply( inverse( Y
% 1.19/1.63 ), Y ) ) ) ) ), T ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 68, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 ) ) ]
% 1.19/1.63 )
% 1.19/1.63 .
% 1.19/1.63 clause( 74, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z ) )
% 1.19/1.63 , inverse( multiply( X, multiply( inverse( Y ), Y ) ) ) ) ), X ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 82, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z ) )
% 1.19/1.63 , inverse( multiply( inverse( Y ), Y ) ) ) ), inverse( multiply( inverse(
% 1.19/1.63 X ), X ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 90, [ =( inverse( multiply( inverse( Z ), Z ) ), inverse( multiply(
% 1.19/1.63 inverse( T ), T ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 112, [ =( multiply( inverse( X ), X ), inverse( multiply( inverse(
% 1.19/1.63 Y ), Y ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 140, [ ~( =( multiply( inverse( multiply( inverse( Y ), Y ) ), a2 )
% 1.19/1.63 , a2 ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 142, [ =( multiply( multiply( inverse( Y ), Y ), multiply( inverse(
% 1.19/1.63 X ), X ) ), multiply( inverse( Z ), Z ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 214, [ ~( =( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( Y ), Y ) ), multiply( inverse( X ), X ) ) ), a2 ), a2 ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 777, [ =( multiply( inverse( multiply( Z, multiply( inverse( X ), X
% 1.19/1.63 ) ) ), multiply( Z, inverse( multiply( inverse( T ), inverse( multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ) ), T ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 1218, [ =( multiply( Z, multiply( inverse( U ), U ) ), multiply( Z
% 1.19/1.63 , inverse( multiply( inverse( T ), T ) ) ) ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 14698, [ =( multiply( inverse( multiply( inverse( Z ), Z ) ),
% 1.19/1.63 inverse( multiply( inverse( X ), inverse( multiply( inverse( Y ), Y ) ) )
% 1.19/1.63 ) ), X ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 25629, [ =( multiply( inverse( multiply( inverse( multiply( T, X )
% 1.19/1.63 ), multiply( T, X ) ) ), Y ), Y ) ] )
% 1.19/1.63 .
% 1.19/1.63 clause( 25664, [] )
% 1.19/1.63 .
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 % SZS output end Refutation
% 1.19/1.63 found a proof!
% 1.19/1.63
% 1.19/1.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.19/1.63
% 1.19/1.63 initialclauses(
% 1.19/1.63 [ clause( 25666, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.63 , clause( 25667, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2
% 1.19/1.63 ) ) ] )
% 1.19/1.63 ] ).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 subsumption(
% 1.19/1.63 clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply( inverse( Y ),
% 1.19/1.63 Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.63 , clause( 25666, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.19/1.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 subsumption(
% 1.19/1.63 clause( 1, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 1.19/1.63 )
% 1.19/1.63 , clause( 25667, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2
% 1.19/1.63 ) ) ] )
% 1.19/1.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 eqswap(
% 1.19/1.63 clause( 25671, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 1.19/1.63 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 paramod(
% 1.19/1.63 clause( 25674, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), T ) ), inverse( multiply( Z, multiply(
% 1.19/1.63 inverse( Z ), Z ) ) ) ) ), multiply( X, inverse( multiply( inverse( T ),
% 1.19/1.63 inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 1.19/1.63 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.63 , 0, clause( 25671, [ =( Z, multiply( X, inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.63 multiply( inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 1.19/1.63 , 0, 25, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Z
% 1.19/1.63 ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 1.19/1.63 inverse( multiply( inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( X, Y ) ), Z ) ), T ) ), inverse( multiply( Z, multiply( inverse(
% 1.19/1.63 Z ), Z ) ) ) ) ) )] )).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 eqswap(
% 1.19/1.63 clause( 25676, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 1.19/1.63 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 1.19/1.63 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 1.19/1.63 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.63 , clause( 25674, [ =( inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( X, Y ) ), Z ) ), T ) ), inverse( multiply( Z
% 1.19/1.63 , multiply( inverse( Z ), Z ) ) ) ) ), multiply( X, inverse( multiply(
% 1.19/1.63 inverse( T ), inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) )
% 1.19/1.63 ) ] )
% 1.19/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.19/1.63 ).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 subsumption(
% 1.19/1.63 clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 1.19/1.63 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 1.19/1.63 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 1.19/1.63 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.63 , clause( 25676, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 1.19/1.63 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 1.19/1.63 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 1.19/1.63 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.19/1.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 eqswap(
% 1.19/1.63 clause( 25678, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 1.19/1.63 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 paramod(
% 1.19/1.63 clause( 25682, [ =( X, multiply( Y, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( T ), X ) ), inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( Y, Z ) ), T ) ), inverse( multiply( Z,
% 1.19/1.63 multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( inverse( multiply(
% 1.19/1.63 inverse( multiply( inverse( multiply( Y, Z ) ), T ) ), inverse( multiply(
% 1.19/1.63 Z, multiply( inverse( Z ), Z ) ) ) ) ) ), inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( Y, Z ) ), T ) ), inverse( multiply( Z,
% 1.19/1.63 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ) ) ) ) ) ] )
% 1.19/1.63 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.63 , 0, clause( 25678, [ =( Z, multiply( X, inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.63 multiply( inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 1.19/1.63 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 1.19/1.63 substitution( 1, [ :=( X, Y ), :=( Y, inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( Y, Z ) ), T ) ), inverse( multiply( Z,
% 1.19/1.63 multiply( inverse( Z ), Z ) ) ) ) ) ), :=( Z, X )] )).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 eqswap(
% 1.19/1.63 clause( 25684, [ =( multiply( Y, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( Z ), X ) ), inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( Y, T ) ), Z ) ), inverse( multiply( T,
% 1.19/1.63 multiply( inverse( T ), T ) ) ) ) ), multiply( inverse( inverse( multiply(
% 1.19/1.63 inverse( multiply( inverse( multiply( Y, T ) ), Z ) ), inverse( multiply(
% 1.19/1.63 T, multiply( inverse( T ), T ) ) ) ) ) ), inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( Y, T ) ), Z ) ), inverse( multiply( T,
% 1.19/1.63 multiply( inverse( T ), T ) ) ) ) ) ) ) ) ) ) ), X ) ] )
% 1.19/1.63 , clause( 25682, [ =( X, multiply( Y, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( T ), X ) ), inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( Y, Z ) ), T ) ), inverse( multiply( Z,
% 1.19/1.63 multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( inverse( multiply(
% 1.19/1.63 inverse( multiply( inverse( multiply( Y, Z ) ), T ) ), inverse( multiply(
% 1.19/1.63 Z, multiply( inverse( Z ), Z ) ) ) ) ) ), inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( Y, Z ) ), T ) ), inverse( multiply( Z,
% 1.19/1.63 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ) ) ) ) ) ] )
% 1.19/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 1.19/1.63 ).
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 subsumption(
% 1.19/1.63 clause( 3, [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 Z ), T ) ), inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.63 inverse( Y ), Y ) ) ) ) ), multiply( inverse( inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.63 multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.63 multiply( inverse( Y ), Y ) ) ) ) ) ) ) ) ) ) ), T ) ] )
% 1.19/1.63 , clause( 25684, [ =( multiply( Y, inverse( multiply( inverse( multiply(
% 1.19/1.63 inverse( Z ), X ) ), inverse( multiply( inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( Y, T ) ), Z ) ), inverse( multiply( T,
% 1.19/1.63 multiply( inverse( T ), T ) ) ) ) ), multiply( inverse( inverse( multiply(
% 1.19/1.63 inverse( multiply( inverse( multiply( Y, T ) ), Z ) ), inverse( multiply(
% 1.19/1.63 T, multiply( inverse( T ), T ) ) ) ) ) ), inverse( multiply( inverse(
% 1.19/1.63 multiply( inverse( multiply( Y, T ) ), Z ) ), inverse( multiply( T,
% 1.19/1.63 multiply( inverse( T ), T ) ) ) ) ) ) ) ) ) ) ), X ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25685, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Z ) ), T ) ), Y ) ), inverse( multiply( T, multiply(
% 1.19/1.64 inverse( T ), T ) ) ) ) ), multiply( X, inverse( multiply( inverse( Y ),
% 1.19/1.64 inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 1.19/1.64 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 1.19/1.64 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 1.19/1.64 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25706, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply( X, Y ) )
% 1.19/1.64 , T ) ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ), T )
% 1.19/1.64 ] )
% 1.19/1.64 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.64 , 0, clause( 25685, [ =( inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, Z ) ), T ) ), Y ) ), inverse( multiply( T
% 1.19/1.64 , multiply( inverse( T ), T ) ) ) ) ), multiply( X, inverse( multiply(
% 1.19/1.64 inverse( Y ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, 25, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T )] ),
% 1.19/1.64 substitution( 1, [ :=( X, X ), :=( Y, multiply( inverse( multiply( X, Y )
% 1.19/1.64 ), T ) ), :=( Z, Y ), :=( T, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 1.19/1.64 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 1.19/1.64 ] )
% 1.19/1.64 , clause( 25706, [ =( inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply(
% 1.19/1.64 X, Y ) ), T ) ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) )
% 1.19/1.64 ) ), T ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25711, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Z ) ), T ) ), Y ) ), inverse( multiply( T, multiply(
% 1.19/1.64 inverse( T ), T ) ) ) ) ), multiply( X, inverse( multiply( inverse( Y ),
% 1.19/1.64 inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 1.19/1.64 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 1.19/1.64 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 1.19/1.64 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25712, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25713, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 1.19/1.64 inverse( multiply( inverse( X ), inverse( multiply( Z, multiply( inverse(
% 1.19/1.64 Z ), Z ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 25711, [ =( inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, Z ) ), T ) ), Y ) ), inverse( multiply( T
% 1.19/1.64 , multiply( inverse( T ), T ) ) ) ) ), multiply( X, inverse( multiply(
% 1.19/1.64 inverse( Y ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25712, [ =( Z, multiply( X, inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.64 multiply( inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 1.19/1.64 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y, T ),
% 1.19/1.64 :=( Z, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25717, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 1.19/1.64 inverse( multiply( inverse( X ), inverse( multiply( Z, multiply( inverse(
% 1.19/1.64 Z ), Z ) ) ) ) ) ) ), X ) ] )
% 1.19/1.64 , clause( 25713, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y
% 1.19/1.64 , inverse( multiply( inverse( X ), inverse( multiply( Z, multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, inverse(
% 1.19/1.64 multiply( inverse( T ), inverse( multiply( Y, multiply( inverse( Y ), Y )
% 1.19/1.64 ) ) ) ) ) ), T ) ] )
% 1.19/1.64 , clause( 25717, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 1.19/1.64 inverse( multiply( inverse( X ), inverse( multiply( Z, multiply( inverse(
% 1.19/1.64 Z ), Z ) ) ) ) ) ) ), X ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25721, [ =( T, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply(
% 1.19/1.64 X, Y ) ), T ) ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) )
% 1.19/1.64 ) ) ) ] )
% 1.19/1.64 , clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 1.19/1.64 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 1.19/1.64 ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25726, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( Y, Z ) ), T ) ), multiply( inverse( multiply( Y, Z ) )
% 1.19/1.64 , U ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), W )
% 1.19/1.64 ), multiply( U, X ) ) ), inverse( multiply( W, multiply( inverse( W ), W
% 1.19/1.64 ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 1.19/1.64 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 1.19/1.64 ] )
% 1.19/1.64 , 0, clause( 25721, [ =( T, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply(
% 1.19/1.64 X, Y ) ), T ) ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) )
% 1.19/1.64 ) ) ) ] )
% 1.19/1.64 , 0, 34, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, U ), :=( T, T )] )
% 1.19/1.64 , substitution( 1, [ :=( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( Y, Z ) ), T ) ), multiply( inverse( multiply( Y, Z ) ), U ) ) )
% 1.19/1.64 ), :=( Y, inverse( multiply( T, multiply( inverse( T ), T ) ) ) ), :=( Z
% 1.19/1.64 , W ), :=( T, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25728, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( U, W ) ), multiply( U, X ) ) ), inverse( multiply( W, multiply(
% 1.19/1.64 inverse( W ), W ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 1.19/1.64 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 1.19/1.64 ] )
% 1.19/1.64 , 0, clause( 25726, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( Y, Z ) ), T ) ), multiply( inverse( multiply( Y, Z ) )
% 1.19/1.64 , U ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), W )
% 1.19/1.64 ), multiply( U, X ) ) ), inverse( multiply( W, multiply( inverse( W ), W
% 1.19/1.64 ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, U ), :=( T, T )] )
% 1.19/1.64 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 1.19/1.64 U, U ), :=( W, W )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25731, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 Y, Z ) ), multiply( Y, X ) ) ), inverse( multiply( Z, multiply( inverse(
% 1.19/1.64 Z ), Z ) ) ) ) ), X ) ] )
% 1.19/1.64 , clause( 25728, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( U, W ) ), multiply( U, X ) ) ), inverse( multiply( W, multiply(
% 1.19/1.64 inverse( W ), W ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 1.19/1.64 :=( U, Y ), :=( W, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply( T
% 1.19/1.64 , U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse( U
% 1.19/1.64 ), U ) ) ) ) ), W ) ] )
% 1.19/1.64 , clause( 25731, [ =( inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( Y, Z ) ), multiply( Y, X ) ) ), inverse( multiply( Z, multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ) ) ), X ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, W ), :=( Y, T ), :=( Z, U )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25735, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 1.19/1.64 inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply( inverse(
% 1.19/1.64 Y ), Y ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 1.19/1.64 inverse( multiply( inverse( T ), inverse( multiply( Y, multiply( inverse(
% 1.19/1.64 Y ), Y ) ) ) ) ) ) ), T ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25742, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, Z )
% 1.19/1.64 ), multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ) ) ] )
% 1.19/1.64 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 T, U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse(
% 1.19/1.64 U ), U ) ) ) ) ), W ) ] )
% 1.19/1.64 , 0, clause( 25735, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 1.19/1.64 X, inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 16, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, X )
% 1.19/1.64 , :=( U, Y ), :=( W, Z )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ),
% 1.19/1.64 :=( Z, multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ),
% 1.19/1.64 multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 1.19/1.64 , clause( 25742, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, Z
% 1.19/1.64 ) ), multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25749, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25754, [ =( inverse( multiply( X, multiply( inverse( X ), X ) ) ),
% 1.19/1.64 multiply( inverse( multiply( Y, X ) ), inverse( multiply( Z, inverse(
% 1.19/1.64 multiply( multiply( Y, Z ), multiply( inverse( multiply( Y, Z ) ),
% 1.19/1.64 multiply( Y, Z ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 T, U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse(
% 1.19/1.64 U ), U ) ) ) ) ), W ) ] )
% 1.19/1.64 , 0, clause( 25749, [ =( Z, multiply( X, inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.64 multiply( inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 15, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, Y )
% 1.19/1.64 , :=( U, X ), :=( W, Z )] ), substitution( 1, [ :=( X, inverse( multiply(
% 1.19/1.64 Y, X ) ) ), :=( Y, multiply( Y, Z ) ), :=( Z, inverse( multiply( X,
% 1.19/1.64 multiply( inverse( X ), X ) ) ) )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25757, [ =( multiply( inverse( multiply( Y, X ) ), inverse(
% 1.19/1.64 multiply( Z, inverse( multiply( multiply( Y, Z ), multiply( inverse(
% 1.19/1.64 multiply( Y, Z ) ), multiply( Y, Z ) ) ) ) ) ) ), inverse( multiply( X,
% 1.19/1.64 multiply( inverse( X ), X ) ) ) ) ] )
% 1.19/1.64 , clause( 25754, [ =( inverse( multiply( X, multiply( inverse( X ), X ) ) )
% 1.19/1.64 , multiply( inverse( multiply( Y, X ) ), inverse( multiply( Z, inverse(
% 1.19/1.64 multiply( multiply( Y, Z ), multiply( inverse( multiply( Y, Z ) ),
% 1.19/1.64 multiply( Y, Z ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 9, [ =( multiply( inverse( multiply( X, Y ) ), inverse( multiply( Z
% 1.19/1.64 , inverse( multiply( multiply( X, Z ), multiply( inverse( multiply( X, Z
% 1.19/1.64 ) ), multiply( X, Z ) ) ) ) ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ] )
% 1.19/1.64 , clause( 25757, [ =( multiply( inverse( multiply( Y, X ) ), inverse(
% 1.19/1.64 multiply( Z, inverse( multiply( multiply( Y, Z ), multiply( inverse(
% 1.19/1.64 multiply( Y, Z ) ), multiply( Y, Z ) ) ) ) ) ) ), inverse( multiply( X,
% 1.19/1.64 multiply( inverse( X ), X ) ) ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25761, [ =( multiply( inverse( multiply( inverse( multiply( W, Y )
% 1.19/1.64 ), multiply( W, Z ) ) ), multiply( inverse( multiply( X, Y ) ), T ) ),
% 1.19/1.64 multiply( inverse( multiply( U, multiply( X, Z ) ) ), multiply( U, T ) )
% 1.19/1.64 ) ] )
% 1.19/1.64 , clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) )
% 1.19/1.64 , multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 1.19/1.64 , 0, clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z
% 1.19/1.64 ) ), multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 1.19/1.64 , 0, 3, substitution( 0, [ :=( X, W ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 1.19/1.64 , substitution( 1, [ :=( X, U ), :=( Y, multiply( X, Z ) ), :=( Z, T ),
% 1.19/1.64 :=( T, inverse( multiply( X, Y ) ) )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 10, [ =( multiply( inverse( multiply( inverse( multiply( T, Y ) ),
% 1.19/1.64 multiply( T, Z ) ) ), multiply( inverse( multiply( X, Y ) ), U ) ),
% 1.19/1.64 multiply( inverse( multiply( W, multiply( X, Z ) ) ), multiply( W, U ) )
% 1.19/1.64 ) ] )
% 1.19/1.64 , clause( 25761, [ =( multiply( inverse( multiply( inverse( multiply( W, Y
% 1.19/1.64 ) ), multiply( W, Z ) ) ), multiply( inverse( multiply( X, Y ) ), T ) )
% 1.19/1.64 , multiply( inverse( multiply( U, multiply( X, Z ) ) ), multiply( U, T )
% 1.19/1.64 ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, U ), :=( U
% 1.19/1.64 , W ), :=( W, T )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25775, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 1.19/1.64 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 1.19/1.64 multiply( U, T ) ) ) ] )
% 1.19/1.64 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 T, U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse(
% 1.19/1.64 U ), U ) ) ) ) ), W ) ] )
% 1.19/1.64 , 0, clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z
% 1.19/1.64 ) ), multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 1.19/1.64 , 0, 2, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, X )
% 1.19/1.64 , :=( U, Y ), :=( W, Z )] ), substitution( 1, [ :=( X, U ), :=( Y,
% 1.19/1.64 inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ), :=( Z, T ), :=(
% 1.19/1.64 T, inverse( multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 13, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 1.19/1.64 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 1.19/1.64 multiply( U, T ) ) ) ] )
% 1.19/1.64 , clause( 25775, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 1.19/1.64 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 1.19/1.64 multiply( U, T ) ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.19/1.64 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25778, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 1.19/1.64 inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply( inverse(
% 1.19/1.64 Y ), Y ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 1.19/1.64 inverse( multiply( inverse( T ), inverse( multiply( Y, multiply( inverse(
% 1.19/1.64 Y ), Y ) ) ) ) ) ) ), T ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25848, [ =( X, multiply( inverse( multiply( inverse( multiply( Y, Z
% 1.19/1.64 ) ), multiply( Y, inverse( X ) ) ) ), inverse( multiply( Z, multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ) ) ) ] )
% 1.19/1.64 , clause( 9, [ =( multiply( inverse( multiply( X, Y ) ), inverse( multiply(
% 1.19/1.64 Z, inverse( multiply( multiply( X, Z ), multiply( inverse( multiply( X, Z
% 1.19/1.64 ) ), multiply( X, Z ) ) ) ) ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ] )
% 1.19/1.64 , 0, clause( 25778, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 1.19/1.64 X, inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, inverse( X ) )] )
% 1.19/1.64 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y,
% 1.19/1.64 multiply( Y, inverse( X ) ) ), :=( Z, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25850, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z )
% 1.19/1.64 ), multiply( Y, inverse( X ) ) ) ), inverse( multiply( Z, multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ) ), X ) ] )
% 1.19/1.64 , clause( 25848, [ =( X, multiply( inverse( multiply( inverse( multiply( Y
% 1.19/1.64 , Z ) ), multiply( Y, inverse( X ) ) ) ), inverse( multiply( Z, multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 17, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) ),
% 1.19/1.64 multiply( X, inverse( Z ) ) ) ), inverse( multiply( Y, multiply( inverse(
% 1.19/1.64 Y ), Y ) ) ) ), Z ) ] )
% 1.19/1.64 , clause( 25850, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z
% 1.19/1.64 ) ), multiply( Y, inverse( X ) ) ) ), inverse( multiply( Z, multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ) ), X ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25852, [ =( multiply( inverse( multiply( U, inverse( multiply( Z,
% 1.19/1.64 multiply( inverse( Z ), Z ) ) ) ) ), multiply( U, T ) ), multiply( X,
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( Y, Z ) ), multiply( Y, X
% 1.19/1.64 ) ) ), T ) ) ) ] )
% 1.19/1.64 , clause( 13, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 1.19/1.64 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 1.19/1.64 multiply( U, T ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T ),
% 1.19/1.64 :=( U, U )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25863, [ =( multiply( inverse( multiply( X, inverse( multiply( Y,
% 1.19/1.64 multiply( inverse( Y ), Y ) ) ) ) ), multiply( X, inverse( multiply( Y,
% 1.19/1.64 multiply( inverse( Y ), Y ) ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 1.19/1.64 , clause( 17, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 1.19/1.64 , multiply( X, inverse( Z ) ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ), Z ) ] )
% 1.19/1.64 , 0, clause( 25852, [ =( multiply( inverse( multiply( U, inverse( multiply(
% 1.19/1.64 Z, multiply( inverse( Z ), Z ) ) ) ) ), multiply( U, T ) ), multiply( X,
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( Y, Z ) ), multiply( Y, X
% 1.19/1.64 ) ) ), T ) ) ) ] )
% 1.19/1.64 , 0, 24, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 1.19/1.64 substitution( 1, [ :=( X, inverse( Z ) ), :=( Y, T ), :=( Z, Y ), :=( T,
% 1.19/1.64 inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ), :=( U, X )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25868, [ =( multiply( inverse( Z ), Z ), multiply( inverse(
% 1.19/1.64 multiply( X, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 1.19/1.64 multiply( X, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) )
% 1.19/1.64 ] )
% 1.19/1.64 , clause( 25863, [ =( multiply( inverse( multiply( X, inverse( multiply( Y
% 1.19/1.64 , multiply( inverse( Y ), Y ) ) ) ) ), multiply( X, inverse( multiply( Y
% 1.19/1.64 , multiply( inverse( Y ), Y ) ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 21, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 1.19/1.64 T, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( T
% 1.19/1.64 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 25868, [ =( multiply( inverse( Z ), Z ), multiply( inverse(
% 1.19/1.64 multiply( X, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 1.19/1.64 multiply( X, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) )
% 1.19/1.64 ] )
% 1.19/1.64 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25871, [ =( multiply( inverse( multiply( Y, inverse( multiply( Z,
% 1.19/1.64 multiply( inverse( Z ), Z ) ) ) ) ), multiply( Y, inverse( multiply( Z,
% 1.19/1.64 multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 1.19/1.64 , clause( 21, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 1.19/1.64 T, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( T
% 1.19/1.64 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25872, [ =( multiply( inverse( multiply( Y, inverse( multiply( Z,
% 1.19/1.64 multiply( inverse( Z ), Z ) ) ) ) ), multiply( Y, inverse( multiply( Z,
% 1.19/1.64 multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 1.19/1.64 , clause( 21, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 1.19/1.64 T, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( T
% 1.19/1.64 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25873, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z
% 1.19/1.64 ) ) ] )
% 1.19/1.64 , clause( 25871, [ =( multiply( inverse( multiply( Y, inverse( multiply( Z
% 1.19/1.64 , multiply( inverse( Z ), Z ) ) ) ) ), multiply( Y, inverse( multiply( Z
% 1.19/1.64 , multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 1.19/1.64 , 0, clause( 25872, [ =( multiply( inverse( multiply( Y, inverse( multiply(
% 1.19/1.64 Z, multiply( inverse( Z ), Z ) ) ) ) ), multiply( Y, inverse( multiply( Z
% 1.19/1.64 , multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 1.19/1.64 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 1.19/1.64 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 1.19/1.64 ] )
% 1.19/1.64 , clause( 25873, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ),
% 1.19/1.64 Z ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, Z ), :=( T, T )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25879, [ =( multiply( inverse( multiply( U, inverse( multiply( Z,
% 1.19/1.64 multiply( inverse( Z ), Z ) ) ) ) ), multiply( U, T ) ), multiply( X,
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( Y, Z ) ), multiply( Y, X
% 1.19/1.64 ) ) ), T ) ) ) ] )
% 1.19/1.64 , clause( 13, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 1.19/1.64 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 1.19/1.64 multiply( U, T ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T ),
% 1.19/1.64 :=( U, U )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25884, [ =( multiply( inverse( multiply( X, inverse( multiply( Y,
% 1.19/1.64 multiply( inverse( Y ), Y ) ) ) ) ), multiply( X, multiply( inverse(
% 1.19/1.64 multiply( Z, Y ) ), multiply( Z, T ) ) ) ), multiply( T, multiply(
% 1.19/1.64 inverse( U ), U ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25879, [ =( multiply( inverse( multiply( U, inverse( multiply(
% 1.19/1.64 Z, multiply( inverse( Z ), Z ) ) ) ) ), multiply( U, T ) ), multiply( X,
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( Y, Z ) ), multiply( Y, X
% 1.19/1.64 ) ) ), T ) ) ) ] )
% 1.19/1.64 , 0, 24, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, U ), :=( T,
% 1.19/1.64 multiply( inverse( multiply( Z, Y ) ), multiply( Z, T ) ) )] ),
% 1.19/1.64 substitution( 1, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, multiply(
% 1.19/1.64 inverse( multiply( Z, Y ) ), multiply( Z, T ) ) ), :=( U, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25891, [ =( multiply( inverse( multiply( X, inverse( multiply( Y,
% 1.19/1.64 multiply( inverse( W ), W ) ) ) ) ), multiply( X, multiply( inverse(
% 1.19/1.64 multiply( Z, Y ) ), multiply( Z, T ) ) ) ), multiply( T, multiply(
% 1.19/1.64 inverse( U ), U ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25884, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 1.19/1.64 Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( X, multiply( inverse(
% 1.19/1.64 multiply( Z, Y ) ), multiply( Z, T ) ) ) ), multiply( T, multiply(
% 1.19/1.64 inverse( U ), U ) ) ) ] )
% 1.19/1.64 , 0, 8, substitution( 0, [ :=( X, V0 ), :=( Y, V1 ), :=( Z, W ), :=( T, Y )] )
% 1.19/1.64 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 1.19/1.64 U, U )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25897, [ =( multiply( U, multiply( inverse( W ), W ) ), multiply(
% 1.19/1.64 inverse( multiply( X, inverse( multiply( Y, multiply( inverse( Z ), Z ) )
% 1.19/1.64 ) ) ), multiply( X, multiply( inverse( multiply( T, Y ) ), multiply( T,
% 1.19/1.64 U ) ) ) ) ) ] )
% 1.19/1.64 , clause( 25891, [ =( multiply( inverse( multiply( X, inverse( multiply( Y
% 1.19/1.64 , multiply( inverse( W ), W ) ) ) ) ), multiply( X, multiply( inverse(
% 1.19/1.64 multiply( Z, Y ) ), multiply( Z, T ) ) ) ), multiply( T, multiply(
% 1.19/1.64 inverse( U ), U ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, U ),
% 1.19/1.64 :=( U, W ), :=( W, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 25, [ =( multiply( Z, multiply( inverse( T ), T ) ), multiply(
% 1.19/1.64 inverse( multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) )
% 1.19/1.64 ) ) ), multiply( U, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 1.19/1.64 Z ) ) ) ) ) ] )
% 1.19/1.64 , clause( 25897, [ =( multiply( U, multiply( inverse( W ), W ) ), multiply(
% 1.19/1.64 inverse( multiply( X, inverse( multiply( Y, multiply( inverse( Z ), Z ) )
% 1.19/1.64 ) ) ), multiply( X, multiply( inverse( multiply( T, Y ) ), multiply( T,
% 1.19/1.64 U ) ) ) ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, U ), :=( Y, Y ), :=( Z, Y ), :=( T, X ), :=( U
% 1.19/1.64 , Z ), :=( W, T )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25901, [ =( Z, multiply( inverse( multiply( inverse( multiply( X, Y
% 1.19/1.64 ) ), multiply( X, inverse( Z ) ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ] )
% 1.19/1.64 , clause( 17, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 1.19/1.64 , multiply( X, inverse( Z ) ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ), Z ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25902, [ =( X, multiply( inverse( multiply( inverse( Z ), Z ) ),
% 1.19/1.64 inverse( multiply( inverse( X ), multiply( inverse( inverse( X ) ),
% 1.19/1.64 inverse( X ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25901, [ =( Z, multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 X, Y ) ), multiply( X, inverse( Z ) ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ] )
% 1.19/1.64 , 0, 4, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Z ), :=( T,
% 1.19/1.64 multiply( Y, inverse( X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y,
% 1.19/1.64 inverse( X ) ), :=( Z, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25909, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ),
% 1.19/1.64 inverse( multiply( inverse( X ), multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25902, [ =( X, multiply( inverse( multiply( inverse( Z ), Z )
% 1.19/1.64 ), inverse( multiply( inverse( X ), multiply( inverse( inverse( X ) ),
% 1.19/1.64 inverse( X ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 12, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Z ), :=( T,
% 1.19/1.64 inverse( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, W ), :=( Z, Y )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25910, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ),
% 1.19/1.64 inverse( multiply( inverse( X ), multiply( inverse( Z ), Z ) ) ) ), X ) ]
% 1.19/1.64 )
% 1.19/1.64 , clause( 25909, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ),
% 1.19/1.64 inverse( multiply( inverse( X ), multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 43, [ =( multiply( inverse( multiply( inverse( Z ), Z ) ), inverse(
% 1.19/1.64 multiply( inverse( Y ), multiply( inverse( inverse( Y ) ), inverse( Y ) )
% 1.19/1.64 ) ) ), Y ) ] )
% 1.19/1.64 , clause( 25910, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ),
% 1.19/1.64 inverse( multiply( inverse( X ), multiply( inverse( Z ), Z ) ) ) ), X ) ]
% 1.19/1.64 )
% 1.19/1.64 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, inverse( Y ) )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25915, [ =( multiply( inverse( multiply( W, multiply( T, Z ) ) ),
% 1.19/1.64 multiply( W, U ) ), multiply( inverse( multiply( inverse( multiply( X, Y
% 1.19/1.64 ) ), multiply( X, Z ) ) ), multiply( inverse( multiply( T, Y ) ), U ) )
% 1.19/1.64 ) ] )
% 1.19/1.64 , clause( 10, [ =( multiply( inverse( multiply( inverse( multiply( T, Y ) )
% 1.19/1.64 , multiply( T, Z ) ) ), multiply( inverse( multiply( X, Y ) ), U ) ),
% 1.19/1.64 multiply( inverse( multiply( W, multiply( X, Z ) ) ), multiply( W, U ) )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 1.19/1.64 :=( U, U ), :=( W, W )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25918, [ =( multiply( inverse( multiply( X, multiply( inverse( W )
% 1.19/1.64 , W ) ) ), multiply( X, Z ) ), multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( T, U ) ), multiply( T, Y ) ) ), multiply( inverse( multiply(
% 1.19/1.64 inverse( Y ), U ) ), Z ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25915, [ =( multiply( inverse( multiply( W, multiply( T, Z ) )
% 1.19/1.64 ), multiply( W, U ) ), multiply( inverse( multiply( inverse( multiply( X
% 1.19/1.64 , Y ) ), multiply( X, Z ) ) ), multiply( inverse( multiply( T, Y ) ), U )
% 1.19/1.64 ) ) ] )
% 1.19/1.64 , 0, 5, substitution( 0, [ :=( X, V0 ), :=( Y, V1 ), :=( Z, W ), :=( T, Y )] )
% 1.19/1.64 , substitution( 1, [ :=( X, T ), :=( Y, U ), :=( Z, Y ), :=( T, inverse(
% 1.19/1.64 Y ) ), :=( U, Z ), :=( W, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25929, [ =( multiply( inverse( multiply( inverse( multiply( T, U )
% 1.19/1.64 ), multiply( T, W ) ) ), multiply( inverse( multiply( inverse( W ), U )
% 1.19/1.64 ), Z ) ), multiply( inverse( multiply( X, multiply( inverse( Y ), Y ) )
% 1.19/1.64 ), multiply( X, Z ) ) ) ] )
% 1.19/1.64 , clause( 25918, [ =( multiply( inverse( multiply( X, multiply( inverse( W
% 1.19/1.64 ), W ) ) ), multiply( X, Z ) ), multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( T, U ) ), multiply( T, Y ) ) ), multiply( inverse( multiply(
% 1.19/1.64 inverse( Y ), U ) ), Z ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, W ), :=( Z, Z ), :=( T, T ),
% 1.19/1.64 :=( U, U ), :=( W, Y )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 54, [ =( multiply( inverse( multiply( inverse( multiply( Z, T ) ),
% 1.19/1.64 multiply( Z, X ) ) ), multiply( inverse( multiply( inverse( X ), T ) ), U
% 1.19/1.64 ) ), multiply( inverse( multiply( W, multiply( inverse( Y ), Y ) ) ),
% 1.19/1.64 multiply( W, U ) ) ) ] )
% 1.19/1.64 , clause( 25929, [ =( multiply( inverse( multiply( inverse( multiply( T, U
% 1.19/1.64 ) ), multiply( T, W ) ) ), multiply( inverse( multiply( inverse( W ), U
% 1.19/1.64 ) ), Z ) ), multiply( inverse( multiply( X, multiply( inverse( Y ), Y )
% 1.19/1.64 ) ), multiply( X, Z ) ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, W ), :=( Y, Y ), :=( Z, U ), :=( T, Z ), :=( U
% 1.19/1.64 , T ), :=( W, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25936, [ =( Z, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( X, Y ) ), multiply( X, Z ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 T, U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse(
% 1.19/1.64 U ), U ) ) ) ) ), W ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, X ),
% 1.19/1.64 :=( U, Y ), :=( W, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25937, [ =( X, inverse( multiply( inverse( multiply( inverse( Z ),
% 1.19/1.64 Z ) ), inverse( multiply( X, multiply( inverse( X ), X ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25936, [ =( Z, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( X, Y ) ), multiply( X, Z ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 5, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Z ), :=( T,
% 1.19/1.64 multiply( Y, X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 1.19/1.64 X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25944, [ =( X, inverse( multiply( inverse( multiply( inverse( Y ),
% 1.19/1.64 Y ) ), inverse( multiply( X, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25937, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 Z ), Z ) ), inverse( multiply( X, multiply( inverse( X ), X ) ) ) ) ) ) ]
% 1.19/1.64 )
% 1.19/1.64 , 0, 12, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Z ), :=( T, X )] )
% 1.19/1.64 , substitution( 1, [ :=( X, X ), :=( Y, W ), :=( Z, Y )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25945, [ =( inverse( multiply( inverse( multiply( inverse( Y ), Y )
% 1.19/1.64 ), inverse( multiply( X, multiply( inverse( Z ), Z ) ) ) ) ), X ) ] )
% 1.19/1.64 , clause( 25944, [ =( X, inverse( multiply( inverse( multiply( inverse( Y )
% 1.19/1.64 , Y ) ), inverse( multiply( X, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 58, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z ) )
% 1.19/1.64 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), Y ) ] )
% 1.19/1.64 , clause( 25945, [ =( inverse( multiply( inverse( multiply( inverse( Y ), Y
% 1.19/1.64 ) ), inverse( multiply( X, multiply( inverse( Z ), Z ) ) ) ) ), X ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, Y )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25950, [ =( Z, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( X, Y ) ), multiply( X, Z ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 T, U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse(
% 1.19/1.64 U ), U ) ) ) ) ), W ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, X ),
% 1.19/1.64 :=( U, Y ), :=( W, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25955, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( Y, Z ) ), multiply( Y, X ) ) ), inverse( multiply( Z, multiply(
% 1.19/1.64 inverse( T ), T ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25950, [ =( Z, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( X, Y ) ), multiply( X, Z ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 16, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, T ), :=( T, Z )] )
% 1.19/1.64 , substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25963, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.64 Y, Z ) ), multiply( Y, X ) ) ), inverse( multiply( Z, multiply( inverse(
% 1.19/1.64 T ), T ) ) ) ) ), X ) ] )
% 1.19/1.64 , clause( 25955, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( Y, Z ) ), multiply( Y, X ) ) ), inverse( multiply( Z, multiply(
% 1.19/1.64 inverse( T ), T ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 61, [ =( inverse( multiply( inverse( multiply( inverse( multiply( Z
% 1.19/1.64 , X ) ), multiply( Z, T ) ) ), inverse( multiply( X, multiply( inverse( Y
% 1.19/1.64 ), Y ) ) ) ) ), T ) ] )
% 1.19/1.64 , clause( 25963, [ =( inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( Y, Z ) ), multiply( Y, X ) ) ), inverse( multiply( Z, multiply(
% 1.19/1.64 inverse( T ), T ) ) ) ) ), X ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25964, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) )
% 1.19/1.64 ) ] )
% 1.19/1.64 , clause( 1, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 1.19/1.64 ] )
% 1.19/1.64 , 0, substitution( 0, [] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25965, [ ~( =( a2, multiply( multiply( inverse( X ), X ), a2 ) ) )
% 1.19/1.64 ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25964, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2
% 1.19/1.64 ) ) ) ] )
% 1.19/1.64 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, b2 )] )
% 1.19/1.64 , substitution( 1, [] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25966, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 ) )
% 1.19/1.64 ] )
% 1.19/1.64 , clause( 25965, [ ~( =( a2, multiply( multiply( inverse( X ), X ), a2 ) )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 68, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 ) ) ]
% 1.19/1.64 )
% 1.19/1.64 , clause( 25966, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 )
% 1.19/1.64 ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25967, [ =( Y, inverse( multiply( inverse( multiply( inverse( X ),
% 1.19/1.64 X ) ), inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 58, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z )
% 1.19/1.64 ), inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), Y ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25969, [ =( X, inverse( multiply( inverse( multiply( inverse( Y ),
% 1.19/1.64 Y ) ), inverse( multiply( X, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25967, [ =( Y, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 X ), X ) ), inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ]
% 1.19/1.64 )
% 1.19/1.64 , 0, 12, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Z ), :=( T, X )] )
% 1.19/1.64 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25971, [ =( inverse( multiply( inverse( multiply( inverse( Y ), Y )
% 1.19/1.64 ), inverse( multiply( X, multiply( inverse( Z ), Z ) ) ) ) ), X ) ] )
% 1.19/1.64 , clause( 25969, [ =( X, inverse( multiply( inverse( multiply( inverse( Y )
% 1.19/1.64 , Y ) ), inverse( multiply( X, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 74, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z ) )
% 1.19/1.64 , inverse( multiply( X, multiply( inverse( Y ), Y ) ) ) ) ), X ) ] )
% 1.19/1.64 , clause( 25971, [ =( inverse( multiply( inverse( multiply( inverse( Y ), Y
% 1.19/1.64 ) ), inverse( multiply( X, multiply( inverse( Z ), Z ) ) ) ) ), X ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25972, [ =( Y, inverse( multiply( inverse( multiply( inverse( X ),
% 1.19/1.64 X ) ), inverse( multiply( Y, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 74, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z )
% 1.19/1.64 ), inverse( multiply( X, multiply( inverse( Y ), Y ) ) ) ) ), X ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 25974, [ =( inverse( multiply( inverse( X ), X ) ), inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( Y ), Y ) ), inverse( multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ) ) ) ] )
% 1.19/1.64 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 1.19/1.64 ) ] )
% 1.19/1.64 , 0, clause( 25972, [ =( Y, inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 X ), X ) ), inverse( multiply( Y, multiply( inverse( Z ), Z ) ) ) ) ) ) ]
% 1.19/1.64 )
% 1.19/1.64 , 0, 14, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Z ), :=( T,
% 1.19/1.64 multiply( inverse( X ), X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y,
% 1.19/1.64 inverse( multiply( inverse( X ), X ) ) ), :=( Z, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25976, [ =( inverse( multiply( inverse( multiply( inverse( Y ), Y )
% 1.19/1.64 ), inverse( multiply( inverse( Z ), Z ) ) ) ), inverse( multiply(
% 1.19/1.64 inverse( X ), X ) ) ) ] )
% 1.19/1.64 , clause( 25974, [ =( inverse( multiply( inverse( X ), X ) ), inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( Y ), Y ) ), inverse( multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 82, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z ) )
% 1.19/1.64 , inverse( multiply( inverse( Y ), Y ) ) ) ), inverse( multiply( inverse(
% 1.19/1.64 X ), X ) ) ) ] )
% 1.19/1.64 , clause( 25976, [ =( inverse( multiply( inverse( multiply( inverse( Y ), Y
% 1.19/1.64 ) ), inverse( multiply( inverse( Z ), Z ) ) ) ), inverse( multiply(
% 1.19/1.64 inverse( X ), X ) ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 25977, [ =( inverse( multiply( inverse( Z ), Z ) ), inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( X ), X ) ), inverse( multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ] )
% 1.19/1.64 , clause( 82, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z )
% 1.19/1.64 ), inverse( multiply( inverse( Y ), Y ) ) ) ), inverse( multiply(
% 1.19/1.64 inverse( X ), X ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 26445, [ =( inverse( multiply( inverse( X ), X ) ), inverse(
% 1.19/1.64 multiply( inverse( T ), T ) ) ) ] )
% 1.19/1.64 , clause( 82, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z )
% 1.19/1.64 ), inverse( multiply( inverse( Y ), Y ) ) ) ), inverse( multiply(
% 1.19/1.64 inverse( X ), X ) ) ) ] )
% 1.19/1.64 , 0, clause( 25977, [ =( inverse( multiply( inverse( Z ), Z ) ), inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( X ), X ) ), inverse( multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ] )
% 1.19/1.64 , 0, 6, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 1.19/1.64 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 90, [ =( inverse( multiply( inverse( Z ), Z ) ), inverse( multiply(
% 1.19/1.64 inverse( T ), T ) ) ) ] )
% 1.19/1.64 , clause( 26445, [ =( inverse( multiply( inverse( X ), X ) ), inverse(
% 1.19/1.64 multiply( inverse( T ), T ) ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, W ), :=( T, T )] ),
% 1.19/1.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 26454, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( Y ), Z ) ), inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, T ) ), Y ) ), inverse( multiply( T,
% 1.19/1.64 multiply( inverse( T ), T ) ) ) ) ), multiply( inverse( inverse( multiply(
% 1.19/1.64 inverse( multiply( inverse( multiply( X, T ) ), Y ) ), inverse( multiply(
% 1.19/1.64 T, multiply( inverse( T ), T ) ) ) ) ) ), inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, T ) ), Y ) ), inverse( multiply( T,
% 1.19/1.64 multiply( inverse( T ), T ) ) ) ) ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 3, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( Z ), T ) ), inverse( multiply( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.64 multiply( inverse( Y ), Y ) ) ) ) ), multiply( inverse( inverse( multiply(
% 1.19/1.64 inverse( multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply(
% 1.19/1.64 Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y,
% 1.19/1.64 multiply( inverse( Y ), Y ) ) ) ) ) ) ) ) ) ) ), T ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 26531, [ =( inverse( multiply( inverse( X ), X ) ), multiply( Y,
% 1.19/1.64 inverse( multiply( inverse( multiply( inverse( U ), U ) ), inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( inverse( multiply( Y, T )
% 1.19/1.64 ), multiply( inverse( Z ), Z ) ) ), inverse( multiply( T, multiply(
% 1.19/1.64 inverse( T ), T ) ) ) ) ), multiply( inverse( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( Y, T ) ), multiply( inverse( Z ), Z ) ) ),
% 1.19/1.64 inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ) ), inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( Y, T ) ), multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T )
% 1.19/1.64 ) ) ) ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 82, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z )
% 1.19/1.64 ), inverse( multiply( inverse( Y ), Y ) ) ) ), inverse( multiply(
% 1.19/1.64 inverse( X ), X ) ) ) ] )
% 1.19/1.64 , 0, clause( 26454, [ =( Z, multiply( X, inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( Y ), Z ) ), inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( inverse( multiply( X, T ) ), Y ) ), inverse( multiply(
% 1.19/1.64 T, multiply( inverse( T ), T ) ) ) ) ), multiply( inverse( inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( X, T ) ), Y ) ), inverse(
% 1.19/1.64 multiply( T, multiply( inverse( T ), T ) ) ) ) ) ), inverse( multiply(
% 1.19/1.64 inverse( multiply( inverse( multiply( X, T ) ), Y ) ), inverse( multiply(
% 1.19/1.64 T, multiply( inverse( T ), T ) ) ) ) ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 10, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Z )] ),
% 1.19/1.64 substitution( 1, [ :=( X, Y ), :=( Y, multiply( inverse( Z ), Z ) ), :=(
% 1.19/1.64 Z, inverse( multiply( inverse( X ), X ) ) ), :=( T, T )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 26565, [ =( inverse( multiply( inverse( X ), X ) ), multiply( Y,
% 1.19/1.64 inverse( multiply( inverse( multiply( inverse( multiply( Y, T ) ),
% 1.19/1.64 multiply( inverse( U ), U ) ) ), inverse( multiply( T, multiply( inverse(
% 1.19/1.64 T ), T ) ) ) ) ) ) ) ] )
% 1.19/1.64 , clause( 58, [ =( inverse( multiply( inverse( multiply( inverse( Z ), Z )
% 1.19/1.64 ), inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), Y ) ] )
% 1.19/1.64 , 0, clause( 26531, [ =( inverse( multiply( inverse( X ), X ) ), multiply(
% 1.19/1.64 Y, inverse( multiply( inverse( multiply( inverse( U ), U ) ), inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( inverse( multiply( Y, T )
% 1.19/1.64 ), multiply( inverse( Z ), Z ) ) ), inverse( multiply( T, multiply(
% 1.19/1.64 inverse( T ), T ) ) ) ) ), multiply( inverse( inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( Y, T ) ), multiply( inverse( Z ), Z ) ) ),
% 1.19/1.64 inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ) ), inverse(
% 1.19/1.64 multiply( inverse( multiply( inverse( multiply( Y, T ) ), multiply(
% 1.19/1.64 inverse( Z ), Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T )
% 1.19/1.64 ) ) ) ) ) ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 8, substitution( 0, [ :=( X, W ), :=( Y, inverse( multiply( inverse(
% 1.19/1.64 multiply( inverse( multiply( Y, T ) ), multiply( inverse( U ), U ) ) ),
% 1.19/1.64 inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ) ), :=( Z, Z )] )
% 1.19/1.64 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, T ), :=(
% 1.19/1.64 U, Z )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 26566, [ =( inverse( multiply( inverse( X ), X ) ), multiply(
% 1.19/1.64 inverse( T ), T ) ) ] )
% 1.19/1.64 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 1.19/1.64 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 1.19/1.64 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 1.19/1.64 , 0, clause( 26565, [ =( inverse( multiply( inverse( X ), X ) ), multiply(
% 1.19/1.64 Y, inverse( multiply( inverse( multiply( inverse( multiply( Y, T ) ),
% 1.19/1.64 multiply( inverse( U ), U ) ) ), inverse( multiply( T, multiply( inverse(
% 1.19/1.64 T ), T ) ) ) ) ) ) ) ] )
% 1.19/1.64 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, multiply( inverse(
% 1.19/1.64 T ), T ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, U ),
% 1.19/1.64 :=( T, Z ), :=( U, T )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 26567, [ =( multiply( inverse( Y ), Y ), inverse( multiply( inverse(
% 1.19/1.64 X ), X ) ) ) ] )
% 1.19/1.64 , clause( 26566, [ =( inverse( multiply( inverse( X ), X ) ), multiply(
% 1.19/1.64 inverse( T ), T ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 1.19/1.64 ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 112, [ =( multiply( inverse( X ), X ), inverse( multiply( inverse(
% 1.19/1.64 Y ), Y ) ) ) ] )
% 1.19/1.64 , clause( 26567, [ =( multiply( inverse( Y ), Y ), inverse( multiply(
% 1.19/1.64 inverse( X ), X ) ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.19/1.64 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 26569, [ ~( =( a2, multiply( multiply( inverse( X ), X ), a2 ) ) )
% 1.19/1.64 ] )
% 1.19/1.64 , clause( 68, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 ) ) ]
% 1.19/1.64 )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 26574, [ ~( =( a2, multiply( inverse( multiply( inverse( Y ), Y ) )
% 1.19/1.64 , a2 ) ) ) ] )
% 1.19/1.64 , clause( 112, [ =( multiply( inverse( X ), X ), inverse( multiply( inverse(
% 1.19/1.64 Y ), Y ) ) ) ] )
% 1.19/1.64 , 0, clause( 26569, [ ~( =( a2, multiply( multiply( inverse( X ), X ), a2 )
% 1.19/1.64 ) ) ] )
% 1.19/1.64 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.19/1.64 :=( X, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 26595, [ ~( =( multiply( inverse( multiply( inverse( X ), X ) ), a2
% 1.19/1.64 ), a2 ) ) ] )
% 1.19/1.64 , clause( 26574, [ ~( =( a2, multiply( inverse( multiply( inverse( Y ), Y )
% 1.19/1.64 ), a2 ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 subsumption(
% 1.19/1.64 clause( 140, [ ~( =( multiply( inverse( multiply( inverse( Y ), Y ) ), a2 )
% 1.19/1.64 , a2 ) ) ] )
% 1.19/1.64 , clause( 26595, [ ~( =( multiply( inverse( multiply( inverse( X ), X ) ),
% 1.19/1.64 a2 ), a2 ) ) ] )
% 1.19/1.64 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 eqswap(
% 1.19/1.64 clause( 26596, [ =( inverse( multiply( inverse( Y ), Y ) ), multiply(
% 1.19/1.64 inverse( X ), X ) ) ] )
% 1.19/1.64 , clause( 112, [ =( multiply( inverse( X ), X ), inverse( multiply( inverse(
% 1.19/1.64 Y ), Y ) ) ) ] )
% 1.19/1.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.19/1.64
% 1.19/1.64
% 1.19/1.64 paramod(
% 1.19/1.64 clause( 26597, [ =( multiply( multiply( inverse( Z ), Z ), multiply(
% 1.19/1.64 inverse( X ), X ) ), multiply( inverse( Y ), Y ) ) ] )
% 1.19/1.64 , clause( 26596, [ =( inverse( multiply( inverse( Y ), Y ) ), multiply(
% 1.19/1.64 inverse( X ), X ) ) ] )
% 1.19/1.64 , 0, clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ),
% 1.19/1.64 Z ) ) ] )
% 1.19/1.64 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 1.19/1.65 :=( X, T ), :=( Y, U ), :=( Z, Y ), :=( T, multiply( inverse( X ), X ) )] )
% 1.19/1.65 ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 subsumption(
% 1.19/1.65 clause( 142, [ =( multiply( multiply( inverse( Y ), Y ), multiply( inverse(
% 1.19/1.65 X ), X ) ), multiply( inverse( Z ), Z ) ) ] )
% 1.19/1.65 , clause( 26597, [ =( multiply( multiply( inverse( Z ), Z ), multiply(
% 1.19/1.65 inverse( X ), X ) ), multiply( inverse( Y ), Y ) ) ] )
% 1.19/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.19/1.65 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26599, [ ~( =( a2, multiply( inverse( multiply( inverse( X ), X ) )
% 1.19/1.65 , a2 ) ) ) ] )
% 1.19/1.65 , clause( 140, [ ~( =( multiply( inverse( multiply( inverse( Y ), Y ) ), a2
% 1.19/1.65 ), a2 ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 paramod(
% 1.19/1.65 clause( 26601, [ ~( =( a2, multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 inverse( Y ), Y ) ), multiply( inverse( X ), X ) ) ), a2 ) ) ) ] )
% 1.19/1.65 , clause( 90, [ =( inverse( multiply( inverse( Z ), Z ) ), inverse(
% 1.19/1.65 multiply( inverse( T ), T ) ) ) ] )
% 1.19/1.65 , 0, clause( 26599, [ ~( =( a2, multiply( inverse( multiply( inverse( X ),
% 1.19/1.65 X ) ), a2 ) ) ) ] )
% 1.19/1.65 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 1.19/1.65 , substitution( 1, [ :=( X, multiply( inverse( X ), X ) )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26603, [ ~( =( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 inverse( X ), X ) ), multiply( inverse( Y ), Y ) ) ), a2 ), a2 ) ) ] )
% 1.19/1.65 , clause( 26601, [ ~( =( a2, multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 inverse( Y ), Y ) ), multiply( inverse( X ), X ) ) ), a2 ) ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 subsumption(
% 1.19/1.65 clause( 214, [ ~( =( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 inverse( Y ), Y ) ), multiply( inverse( X ), X ) ) ), a2 ), a2 ) ) ] )
% 1.19/1.65 , clause( 26603, [ ~( =( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 inverse( X ), X ) ), multiply( inverse( Y ), Y ) ) ), a2 ), a2 ) ) ] )
% 1.19/1.65 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.19/1.65 )] ) ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26605, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 1.19/1.65 inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply( inverse(
% 1.19/1.65 Y ), Y ) ) ) ) ) ) ) ) ] )
% 1.19/1.65 , clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 1.19/1.65 inverse( multiply( inverse( T ), inverse( multiply( Y, multiply( inverse(
% 1.19/1.65 Y ), Y ) ) ) ) ) ) ), T ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 1.19/1.65 ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 paramod(
% 1.19/1.65 clause( 26887, [ =( X, multiply( inverse( multiply( Y, multiply( inverse( Z
% 1.19/1.65 ), Z ) ) ), multiply( Y, inverse( multiply( inverse( X ), inverse(
% 1.19/1.65 multiply( inverse( T ), T ) ) ) ) ) ) ) ] )
% 1.19/1.65 , clause( 142, [ =( multiply( multiply( inverse( Y ), Y ), multiply(
% 1.19/1.65 inverse( X ), X ) ), multiply( inverse( Z ), Z ) ) ] )
% 1.19/1.65 , 0, clause( 26605, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 1.19/1.65 X, inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply(
% 1.19/1.65 inverse( Y ), Y ) ) ) ) ) ) ) ) ] )
% 1.19/1.65 , 0, 17, substitution( 0, [ :=( X, multiply( inverse( Z ), Z ) ), :=( Y, Z
% 1.19/1.65 ), :=( Z, T )] ), substitution( 1, [ :=( X, Y ), :=( Y, multiply(
% 1.19/1.65 inverse( Z ), Z ) ), :=( Z, X )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26891, [ =( multiply( inverse( multiply( Y, multiply( inverse( Z )
% 1.19/1.65 , Z ) ) ), multiply( Y, inverse( multiply( inverse( X ), inverse(
% 1.19/1.65 multiply( inverse( T ), T ) ) ) ) ) ), X ) ] )
% 1.19/1.65 , clause( 26887, [ =( X, multiply( inverse( multiply( Y, multiply( inverse(
% 1.19/1.65 Z ), Z ) ) ), multiply( Y, inverse( multiply( inverse( X ), inverse(
% 1.19/1.65 multiply( inverse( T ), T ) ) ) ) ) ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.19/1.65 ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 subsumption(
% 1.19/1.65 clause( 777, [ =( multiply( inverse( multiply( Z, multiply( inverse( X ), X
% 1.19/1.65 ) ) ), multiply( Z, inverse( multiply( inverse( T ), inverse( multiply(
% 1.19/1.65 inverse( Y ), Y ) ) ) ) ) ), T ) ] )
% 1.19/1.65 , clause( 26891, [ =( multiply( inverse( multiply( Y, multiply( inverse( Z
% 1.19/1.65 ), Z ) ) ), multiply( Y, inverse( multiply( inverse( X ), inverse(
% 1.19/1.65 multiply( inverse( T ), T ) ) ) ) ) ), X ) ] )
% 1.19/1.65 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 1.19/1.65 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26893, [ =( multiply( inverse( multiply( Z, inverse( multiply( T,
% 1.19/1.65 multiply( inverse( T ), T ) ) ) ) ), multiply( Z, multiply( inverse(
% 1.19/1.65 multiply( U, T ) ), multiply( U, X ) ) ) ), multiply( X, multiply(
% 1.19/1.65 inverse( Y ), Y ) ) ) ] )
% 1.19/1.65 , clause( 25, [ =( multiply( Z, multiply( inverse( T ), T ) ), multiply(
% 1.19/1.65 inverse( multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) )
% 1.19/1.65 ) ) ), multiply( U, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 1.19/1.65 Z ) ) ) ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, X ), :=( T, Y ),
% 1.19/1.65 :=( U, Z )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 paramod(
% 1.19/1.65 clause( 26915, [ =( multiply( inverse( multiply( inverse( multiply( inverse(
% 1.19/1.65 multiply( X, Y ) ), multiply( X, Z ) ) ), inverse( multiply( Y, multiply(
% 1.19/1.65 inverse( Y ), Y ) ) ) ) ), inverse( multiply( inverse( U ), U ) ) ),
% 1.19/1.65 multiply( Z, multiply( inverse( T ), T ) ) ) ] )
% 1.19/1.65 , clause( 112, [ =( multiply( inverse( X ), X ), inverse( multiply( inverse(
% 1.19/1.65 Y ), Y ) ) ) ] )
% 1.19/1.65 , 0, clause( 26893, [ =( multiply( inverse( multiply( Z, inverse( multiply(
% 1.19/1.65 T, multiply( inverse( T ), T ) ) ) ) ), multiply( Z, multiply( inverse(
% 1.19/1.65 multiply( U, T ) ), multiply( U, X ) ) ) ), multiply( X, multiply(
% 1.19/1.65 inverse( Y ), Y ) ) ) ] )
% 1.19/1.65 , 0, 20, substitution( 0, [ :=( X, multiply( inverse( multiply( X, Y ) ),
% 1.19/1.65 multiply( X, Z ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, Z ), :=( Y
% 1.19/1.65 , T ), :=( Z, inverse( multiply( inverse( multiply( X, Y ) ), multiply( X
% 1.19/1.65 , Z ) ) ) ), :=( T, Y ), :=( U, X )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 paramod(
% 1.19/1.65 clause( 26941, [ =( multiply( Z, inverse( multiply( inverse( T ), T ) ) ),
% 1.19/1.65 multiply( Z, multiply( inverse( U ), U ) ) ) ] )
% 1.19/1.65 , clause( 61, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 Z, X ) ), multiply( Z, T ) ) ), inverse( multiply( X, multiply( inverse(
% 1.19/1.65 Y ), Y ) ) ) ) ), T ) ] )
% 1.19/1.65 , 0, clause( 26915, [ =( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 inverse( multiply( X, Y ) ), multiply( X, Z ) ) ), inverse( multiply( Y,
% 1.19/1.65 multiply( inverse( Y ), Y ) ) ) ) ), inverse( multiply( inverse( U ), U )
% 1.19/1.65 ) ), multiply( Z, multiply( inverse( T ), T ) ) ) ] )
% 1.19/1.65 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )
% 1.19/1.65 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, U ), :=(
% 1.19/1.65 U, T )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26942, [ =( multiply( X, multiply( inverse( Z ), Z ) ), multiply( X
% 1.19/1.65 , inverse( multiply( inverse( Y ), Y ) ) ) ) ] )
% 1.19/1.65 , clause( 26941, [ =( multiply( Z, inverse( multiply( inverse( T ), T ) ) )
% 1.19/1.65 , multiply( Z, multiply( inverse( U ), U ) ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, X ), :=( T, Y ),
% 1.19/1.65 :=( U, Z )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 subsumption(
% 1.19/1.65 clause( 1218, [ =( multiply( Z, multiply( inverse( U ), U ) ), multiply( Z
% 1.19/1.65 , inverse( multiply( inverse( T ), T ) ) ) ) ] )
% 1.19/1.65 , clause( 26942, [ =( multiply( X, multiply( inverse( Z ), Z ) ), multiply(
% 1.19/1.65 X, inverse( multiply( inverse( Y ), Y ) ) ) ) ] )
% 1.19/1.65 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U )] ),
% 1.19/1.65 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26944, [ =( Y, multiply( inverse( multiply( inverse( X ), X ) ),
% 1.19/1.65 inverse( multiply( inverse( Y ), multiply( inverse( inverse( Y ) ),
% 1.19/1.65 inverse( Y ) ) ) ) ) ) ] )
% 1.19/1.65 , clause( 43, [ =( multiply( inverse( multiply( inverse( Z ), Z ) ),
% 1.19/1.65 inverse( multiply( inverse( Y ), multiply( inverse( inverse( Y ) ),
% 1.19/1.65 inverse( Y ) ) ) ) ), Y ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 paramod(
% 1.19/1.65 clause( 26954, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ),
% 1.19/1.65 inverse( multiply( inverse( X ), inverse( multiply( inverse( Z ), Z ) ) )
% 1.19/1.65 ) ) ) ] )
% 1.19/1.65 , clause( 1218, [ =( multiply( Z, multiply( inverse( U ), U ) ), multiply(
% 1.19/1.65 Z, inverse( multiply( inverse( T ), T ) ) ) ) ] )
% 1.19/1.65 , 0, clause( 26944, [ =( Y, multiply( inverse( multiply( inverse( X ), X )
% 1.19/1.65 ), inverse( multiply( inverse( Y ), multiply( inverse( inverse( Y ) ),
% 1.19/1.65 inverse( Y ) ) ) ) ) ) ] )
% 1.19/1.65 , 0, 9, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, inverse( X ) ),
% 1.19/1.65 :=( T, Z ), :=( U, inverse( X ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 1.19/1.65 Y, X )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26958, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ),
% 1.19/1.65 inverse( multiply( inverse( X ), inverse( multiply( inverse( Z ), Z ) ) )
% 1.19/1.65 ) ), X ) ] )
% 1.19/1.65 , clause( 26954, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ),
% 1.19/1.65 inverse( multiply( inverse( X ), inverse( multiply( inverse( Z ), Z ) ) )
% 1.19/1.65 ) ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 subsumption(
% 1.19/1.65 clause( 14698, [ =( multiply( inverse( multiply( inverse( Z ), Z ) ),
% 1.19/1.65 inverse( multiply( inverse( X ), inverse( multiply( inverse( Y ), Y ) ) )
% 1.19/1.65 ) ), X ) ] )
% 1.19/1.65 , clause( 26958, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ),
% 1.19/1.65 inverse( multiply( inverse( X ), inverse( multiply( inverse( Z ), Z ) ) )
% 1.19/1.65 ) ), X ) ] )
% 1.19/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.19/1.65 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26960, [ =( multiply( inverse( multiply( U, multiply( inverse( W )
% 1.19/1.65 , W ) ) ), multiply( U, T ) ), multiply( inverse( multiply( inverse(
% 1.19/1.65 multiply( X, Y ) ), multiply( X, Z ) ) ), multiply( inverse( multiply(
% 1.19/1.65 inverse( Z ), Y ) ), T ) ) ) ] )
% 1.19/1.65 , clause( 54, [ =( multiply( inverse( multiply( inverse( multiply( Z, T ) )
% 1.19/1.65 , multiply( Z, X ) ) ), multiply( inverse( multiply( inverse( X ), T ) )
% 1.19/1.65 , U ) ), multiply( inverse( multiply( W, multiply( inverse( Y ), Y ) ) )
% 1.19/1.65 , multiply( W, U ) ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, Z ), :=( Y, W ), :=( Z, X ), :=( T, Y ),
% 1.19/1.65 :=( U, T ), :=( W, U )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 paramod(
% 1.19/1.65 clause( 26969, [ =( multiply( inverse( multiply( X, multiply( inverse( Y )
% 1.19/1.65 , Y ) ) ), multiply( X, inverse( multiply( inverse( Z ), inverse(
% 1.19/1.65 multiply( inverse( T ), T ) ) ) ) ) ), multiply( inverse( multiply(
% 1.19/1.65 inverse( multiply( U, W ) ), multiply( U, W ) ) ), Z ) ) ] )
% 1.19/1.65 , clause( 14698, [ =( multiply( inverse( multiply( inverse( Z ), Z ) ),
% 1.19/1.65 inverse( multiply( inverse( X ), inverse( multiply( inverse( Y ), Y ) ) )
% 1.19/1.65 ) ), X ) ] )
% 1.19/1.65 , 0, clause( 26960, [ =( multiply( inverse( multiply( U, multiply( inverse(
% 1.19/1.65 W ), W ) ) ), multiply( U, T ) ), multiply( inverse( multiply( inverse(
% 1.19/1.65 multiply( X, Y ) ), multiply( X, Z ) ) ), multiply( inverse( multiply(
% 1.19/1.65 inverse( Z ), Y ) ), T ) ) ) ] )
% 1.19/1.65 , 0, 30, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, W )] ),
% 1.19/1.65 substitution( 1, [ :=( X, U ), :=( Y, W ), :=( Z, W ), :=( T, inverse(
% 1.19/1.65 multiply( inverse( Z ), inverse( multiply( inverse( T ), T ) ) ) ) ),
% 1.19/1.65 :=( U, X ), :=( W, Y )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 paramod(
% 1.19/1.65 clause( 26971, [ =( Z, multiply( inverse( multiply( inverse( multiply( U, W
% 1.19/1.65 ) ), multiply( U, W ) ) ), Z ) ) ] )
% 1.19/1.65 , clause( 777, [ =( multiply( inverse( multiply( Z, multiply( inverse( X )
% 1.19/1.65 , X ) ) ), multiply( Z, inverse( multiply( inverse( T ), inverse(
% 1.19/1.65 multiply( inverse( Y ), Y ) ) ) ) ) ), T ) ] )
% 1.19/1.65 , 0, clause( 26969, [ =( multiply( inverse( multiply( X, multiply( inverse(
% 1.19/1.65 Y ), Y ) ) ), multiply( X, inverse( multiply( inverse( Z ), inverse(
% 1.19/1.65 multiply( inverse( T ), T ) ) ) ) ) ), multiply( inverse( multiply(
% 1.19/1.65 inverse( multiply( U, W ) ), multiply( U, W ) ) ), Z ) ) ] )
% 1.19/1.65 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z )] )
% 1.19/1.65 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 1.19/1.65 U, U ), :=( W, W )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26972, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z )
% 1.19/1.65 ), multiply( Y, Z ) ) ), X ), X ) ] )
% 1.19/1.65 , clause( 26971, [ =( Z, multiply( inverse( multiply( inverse( multiply( U
% 1.19/1.65 , W ) ), multiply( U, W ) ) ), Z ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, X ), :=( T, W ),
% 1.19/1.65 :=( U, Y ), :=( W, Z )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 subsumption(
% 1.19/1.65 clause( 25629, [ =( multiply( inverse( multiply( inverse( multiply( T, X )
% 1.19/1.65 ), multiply( T, X ) ) ), Y ), Y ) ] )
% 1.19/1.65 , clause( 26972, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z
% 1.19/1.65 ) ), multiply( Y, Z ) ) ), X ), X ) ] )
% 1.19/1.65 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X )] ),
% 1.19/1.65 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26973, [ =( Z, multiply( inverse( multiply( inverse( multiply( X, Y
% 1.19/1.65 ) ), multiply( X, Y ) ) ), Z ) ) ] )
% 1.19/1.65 , clause( 25629, [ =( multiply( inverse( multiply( inverse( multiply( T, X
% 1.19/1.65 ) ), multiply( T, X ) ) ), Y ), Y ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 1.19/1.65 ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 eqswap(
% 1.19/1.65 clause( 26974, [ ~( =( a2, multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 inverse( X ), X ) ), multiply( inverse( Y ), Y ) ) ), a2 ) ) ) ] )
% 1.19/1.65 , clause( 214, [ ~( =( multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 inverse( Y ), Y ) ), multiply( inverse( X ), X ) ) ), a2 ), a2 ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 resolution(
% 1.19/1.65 clause( 26975, [] )
% 1.19/1.65 , clause( 26974, [ ~( =( a2, multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 inverse( X ), X ) ), multiply( inverse( Y ), Y ) ) ), a2 ) ) ) ] )
% 1.19/1.65 , 0, clause( 26973, [ =( Z, multiply( inverse( multiply( inverse( multiply(
% 1.19/1.65 X, Y ) ), multiply( X, Y ) ) ), Z ) ) ] )
% 1.19/1.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 1.19/1.65 , inverse( X ) ), :=( Y, X ), :=( Z, a2 )] )).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 subsumption(
% 1.19/1.65 clause( 25664, [] )
% 1.19/1.65 , clause( 26975, [] )
% 1.19/1.65 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 end.
% 1.19/1.65
% 1.19/1.65 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.19/1.65
% 1.19/1.65 Memory use:
% 1.19/1.65
% 1.19/1.65 space for terms: 677787
% 1.19/1.65 space for clauses: 2920795
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 clauses generated: 123223
% 1.19/1.65 clauses kept: 25665
% 1.19/1.65 clauses selected: 182
% 1.19/1.65 clauses deleted: 657
% 1.19/1.65 clauses inuse deleted: 21
% 1.19/1.65
% 1.19/1.65 subsentry: 126840
% 1.19/1.65 literals s-matched: 57065
% 1.19/1.65 literals matched: 52879
% 1.19/1.65 full subsumption: 0
% 1.19/1.65
% 1.19/1.65 checksum: 1135541880
% 1.19/1.65
% 1.19/1.65
% 1.19/1.65 Bliksem ended
%------------------------------------------------------------------------------