%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP424-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:36:56 EDT 2022
% Result : Unsatisfiable 0.42s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP424-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 08:35:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08 [
% 0.42/1.08 [ =( multiply( inverse( multiply( inverse( multiply( X, inverse(
% 0.42/1.08 multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) ) ),
% 0.42/1.08 inverse( multiply( inverse( Z ), Z ) ) ), Y ) ],
% 0.42/1.08 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.42/1.08 ]
% 0.42/1.08 ] .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.08 This is a pure equality problem
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 1
% 0.42/1.08 useeqrefl = 1
% 0.42/1.08 useeqfact = 1
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 5
% 0.42/1.08 usesimpres = 3
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = eqrewr
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.08
% 0.42/1.08 termordering = kbo
% 0.42/1.08
% 0.42/1.08 litapriori = 0
% 0.42/1.08 termapriori = 1
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = negord
% 0.42/1.08
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 1
% 0.42/1.08 increasemaxweight = 1
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 1
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 inverse [41, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.08 multiply [43, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.42/1.08 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.08 b1 [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 15
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 90
% 0.42/1.09 Kept: 5
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 16
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 16
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 90
% 0.42/1.09 Kept: 5
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 17
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 17
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 90
% 0.42/1.09 Kept: 5
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 18
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 18
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 90
% 0.42/1.09 Kept: 5
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 19
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 19
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 90
% 0.42/1.09 Kept: 5
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 20
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 20
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 90
% 0.42/1.09 Kept: 5
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 21
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 21
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 90
% 0.42/1.09 Kept: 5
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 22
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 22
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 112
% 0.42/1.09 Kept: 6
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 23
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 23
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 112
% 0.42/1.09 Kept: 6
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 24
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 24
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 112
% 0.42/1.09 Kept: 6
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 25
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 25
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 112
% 0.42/1.09 Kept: 6
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 26
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 26
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 112
% 0.42/1.09 Kept: 6
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 27
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 27
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 362
% 0.42/1.09 Kept: 9
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 28
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 28
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 362
% 0.42/1.09 Kept: 9
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 29
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 29
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 362
% 0.42/1.09 Kept: 11
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 30
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 30
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 362
% 0.42/1.09 Kept: 11
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 31
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 31
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 362
% 0.42/1.09 Kept: 11
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 32
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 32
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 362
% 0.42/1.09 Kept: 11
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 33
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 Resimplifying inuse:
% 0.42/1.09 Done
% 0.42/1.09
% 0.42/1.09 Failed to find proof!
% 0.42/1.09 maxweight = 33
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09 Generated: 362
% 0.42/1.09 Kept: 11
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 The strategy used was not complete!
% 0.42/1.09
% 0.42/1.09 Increased maxweight to 34
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Bliksems!, er is een bewijs:
% 0.42/1.09 % SZS status Unsatisfiable
% 0.42/1.09 % SZS output start Refutation
% 0.42/1.09
% 0.42/1.09 clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X, inverse(
% 0.42/1.09 multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) ) ),
% 0.42/1.09 inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.71/1.09 a1 ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 2, [ =( multiply( inverse( multiply( inverse( Y ), multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( X, inverse( multiply( inverse( Y )
% 0.71/1.09 , Z ) ) ) ), multiply( X, inverse( Z ) ) ) ), inverse( Z ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ), Z ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 3, [ =( multiply( inverse( multiply( inverse( multiply( T, inverse(
% 0.71/1.09 Y ) ) ), multiply( T, inverse( inverse( multiply( inverse( Z ), Z ) ) ) )
% 0.71/1.09 ) ), inverse( multiply( inverse( inverse( multiply( inverse( Z ), Z ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse(
% 0.71/1.09 multiply( X, inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X,
% 0.71/1.09 inverse( Z ) ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 4, [ =( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) )
% 0.71/1.09 ), multiply( X, inverse( Z ) ) ) ), inverse( multiply( inverse( T ),
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ) ) ), Y ) ), inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ), multiply( inverse( Z ), Z ) ) ) ), T ) ]
% 0.71/1.09 )
% 0.71/1.09 .
% 0.71/1.09 clause( 5, [ =( multiply( inverse( multiply( T, inverse( multiply( inverse(
% 0.71/1.09 Y ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( U, inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( U,
% 0.71/1.09 inverse( Z ) ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 6, [ =( multiply( inverse( multiply( T, inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( Y ), inverse( multiply( inverse( Z ), Z ) ) ) ), Z ) )
% 0.71/1.09 ) ), multiply( T, inverse( Z ) ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 10, [ =( multiply( inverse( multiply( T, inverse( Y ) ) ), multiply(
% 0.71/1.09 T, inverse( multiply( X, inverse( Z ) ) ) ) ), multiply( inverse(
% 0.71/1.09 multiply( U, inverse( Y ) ) ), multiply( U, inverse( multiply( X, inverse(
% 0.71/1.09 Z ) ) ) ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 11, [ =( multiply( inverse( multiply( U, inverse( W ) ) ), multiply(
% 0.71/1.09 U, inverse( T ) ) ), multiply( inverse( multiply( V0, inverse( W ) ) ),
% 0.71/1.09 multiply( V0, inverse( T ) ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 13, [ =( multiply( inverse( multiply( inverse( multiply( T, inverse(
% 0.71/1.09 multiply( inverse( U ), multiply( X, inverse( Y ) ) ) ) ) ), multiply( T
% 0.71/1.09 , inverse( multiply( X, inverse( Y ) ) ) ) ) ), inverse( multiply(
% 0.71/1.09 inverse( multiply( Z, inverse( Y ) ) ), multiply( Z, inverse( Y ) ) ) ) )
% 0.71/1.09 , U ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 16, [ =( multiply( inverse( Y ), inverse( multiply( inverse(
% 0.71/1.09 multiply( U, inverse( T ) ) ), multiply( U, inverse( T ) ) ) ) ),
% 0.71/1.09 multiply( inverse( Y ), inverse( multiply( inverse( multiply( Z, inverse(
% 0.71/1.09 T ) ) ), multiply( Z, inverse( T ) ) ) ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 21, [ =( multiply( inverse( T ), inverse( multiply( inverse(
% 0.71/1.09 multiply( U, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( U,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( T ),
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 22, [ =( multiply( inverse( T ), inverse( multiply( inverse( Y ), Y
% 0.71/1.09 ) ) ), multiply( inverse( T ), inverse( multiply( inverse( Z ), Z ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 30, [ =( multiply( inverse( multiply( inverse( multiply( X, inverse(
% 0.71/1.09 multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) ) ),
% 0.71/1.09 inverse( multiply( inverse( T ), T ) ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 42, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( inverse( Z ), Z ) ), multiply( inverse( Z )
% 0.71/1.09 , Z ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 44, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.71/1.09 inverse( X ), X ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 52, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 89, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.71/1.09 a1 ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 90, [] )
% 0.71/1.09 .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 initialclauses(
% 0.71/1.09 [ clause( 92, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , clause( 93, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.71/1.09 ), b1 ) ) ) ] )
% 0.71/1.09 ] ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X, inverse(
% 0.71/1.09 multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) ) ),
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , clause( 92, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 96, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.71/1.09 , a1 ) ) ) ] )
% 0.71/1.09 , clause( 93, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.71/1.09 ), b1 ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.71/1.09 a1 ) ) ) ] )
% 0.71/1.09 , clause( 96, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.71/1.09 ), a1 ) ) ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 97, [ =( Y, multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 100, [ =( X, multiply( inverse( multiply( inverse( Z ), multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( Y, inverse( multiply( inverse( Z )
% 0.71/1.09 , X ) ) ) ), multiply( Y, inverse( X ) ) ) ), inverse( X ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( X ), X ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 97, [ =( Y, multiply( inverse( multiply( inverse( multiply( X
% 0.71/1.09 , inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.71/1.09 ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), X ) ) ) ), multiply( Y, inverse( X ) ) )
% 0.71/1.09 ) ), :=( Y, X ), :=( Z, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 103, [ =( multiply( inverse( multiply( inverse( Y ), multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( Z, inverse( multiply( inverse( Y )
% 0.71/1.09 , X ) ) ) ), multiply( Z, inverse( X ) ) ) ), inverse( X ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( X ), X ) ) ), X ) ] )
% 0.71/1.09 , clause( 100, [ =( X, multiply( inverse( multiply( inverse( Z ), multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( Y, inverse( multiply( inverse( Z )
% 0.71/1.09 , X ) ) ) ), multiply( Y, inverse( X ) ) ) ), inverse( X ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( X ), X ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 2, [ =( multiply( inverse( multiply( inverse( Y ), multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( X, inverse( multiply( inverse( Y )
% 0.71/1.09 , Z ) ) ) ), multiply( X, inverse( Z ) ) ) ), inverse( Z ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ), Z ) ] )
% 0.71/1.09 , clause( 103, [ =( multiply( inverse( multiply( inverse( Y ), multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( Z, inverse( multiply( inverse( Y )
% 0.71/1.09 , X ) ) ) ), multiply( Z, inverse( X ) ) ) ), inverse( X ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( X ), X ) ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 106, [ =( Y, multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 110, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.71/1.09 inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( T, inverse( Y ) ) ), multiply( T, inverse(
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), inverse( multiply(
% 0.71/1.09 inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse( multiply(
% 0.71/1.09 inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 106, [ =( Y, multiply( inverse( multiply( inverse( multiply( X
% 0.71/1.09 , inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.71/1.09 ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , 0, 21, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, T ), :=( Y, multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), :=( Z, inverse( multiply( inverse( Z ), Z ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 113, [ =( multiply( inverse( multiply( inverse( multiply( T,
% 0.71/1.09 inverse( Y ) ) ), multiply( T, inverse( inverse( multiply( inverse( Z ),
% 0.71/1.09 Z ) ) ) ) ) ), inverse( multiply( inverse( inverse( multiply( inverse( Z
% 0.71/1.09 ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply(
% 0.71/1.09 inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) ) ),
% 0.71/1.09 multiply( X, inverse( Z ) ) ) ) ] )
% 0.71/1.09 , clause( 110, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.71/1.09 inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( T, inverse( Y ) ) ), multiply( T, inverse(
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), inverse( multiply(
% 0.71/1.09 inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse( multiply(
% 0.71/1.09 inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 3, [ =( multiply( inverse( multiply( inverse( multiply( T, inverse(
% 0.71/1.09 Y ) ) ), multiply( T, inverse( inverse( multiply( inverse( Z ), Z ) ) ) )
% 0.71/1.09 ) ), inverse( multiply( inverse( inverse( multiply( inverse( Z ), Z ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse(
% 0.71/1.09 multiply( X, inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X,
% 0.71/1.09 inverse( Z ) ) ) ) ] )
% 0.71/1.09 , clause( 113, [ =( multiply( inverse( multiply( inverse( multiply( T,
% 0.71/1.09 inverse( Y ) ) ), multiply( T, inverse( inverse( multiply( inverse( Z ),
% 0.71/1.09 Z ) ) ) ) ) ), inverse( multiply( inverse( inverse( multiply( inverse( Z
% 0.71/1.09 ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply(
% 0.71/1.09 inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) ) ),
% 0.71/1.09 multiply( X, inverse( Z ) ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 115, [ =( Y, multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 120, [ =( X, multiply( inverse( multiply( inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( Y, inverse( multiply( inverse( Z )
% 0.71/1.09 , T ) ) ) ), multiply( Y, inverse( T ) ) ) ), inverse( multiply( inverse(
% 0.71/1.09 X ), multiply( inverse( T ), T ) ) ) ) ), Z ) ), inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( T ), T ) ), multiply( inverse( T ), T ) ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 115, [ =( Y, multiply( inverse( multiply( inverse( multiply( X
% 0.71/1.09 , inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.71/1.09 ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , 0, 29, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.71/1.09 substitution( 1, [ :=( X, inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), T ) ) ) ), multiply( Y, inverse( T ) ) )
% 0.71/1.09 ) ), :=( Y, X ), :=( Z, multiply( inverse( T ), T ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 123, [ =( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( Y, inverse( multiply( inverse( Z ), T ) ) )
% 0.71/1.09 ), multiply( Y, inverse( T ) ) ) ), inverse( multiply( inverse( X ),
% 0.71/1.09 multiply( inverse( T ), T ) ) ) ) ), Z ) ), inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( T ), T ) ), multiply( inverse( T ), T ) ) ) ), X ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 120, [ =( X, multiply( inverse( multiply( inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( Y, inverse( multiply( inverse( Z )
% 0.71/1.09 , T ) ) ) ), multiply( Y, inverse( T ) ) ) ), inverse( multiply( inverse(
% 0.71/1.09 X ), multiply( inverse( T ), T ) ) ) ) ), Z ) ), inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( T ), T ) ), multiply( inverse( T ), T ) ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 4, [ =( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) )
% 0.71/1.09 ), multiply( X, inverse( Z ) ) ) ), inverse( multiply( inverse( T ),
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ) ) ), Y ) ), inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ), multiply( inverse( Z ), Z ) ) ) ), T ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 123, [ =( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( Y, inverse( multiply( inverse( Z ), T ) ) )
% 0.71/1.09 ), multiply( Y, inverse( T ) ) ) ), inverse( multiply( inverse( X ),
% 0.71/1.09 multiply( inverse( T ), T ) ) ) ) ), Z ) ), inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( T ), T ) ), multiply( inverse( T ), T ) ) ) ), X ) ]
% 0.71/1.09 )
% 0.71/1.09 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 124, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.71/1.09 inverse( Y ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( X, inverse( Y ) ) ), multiply( X, inverse(
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), inverse( multiply(
% 0.71/1.09 inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse( multiply(
% 0.71/1.09 inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 3, [ =( multiply( inverse( multiply( inverse( multiply( T,
% 0.71/1.09 inverse( Y ) ) ), multiply( T, inverse( inverse( multiply( inverse( Z ),
% 0.71/1.09 Z ) ) ) ) ) ), inverse( multiply( inverse( inverse( multiply( inverse( Z
% 0.71/1.09 ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply(
% 0.71/1.09 inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) ) ),
% 0.71/1.09 multiply( X, inverse( Z ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 142, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.71/1.09 inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( U, inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( U,
% 0.71/1.09 inverse( Z ) ) ) ) ] )
% 0.71/1.09 , clause( 3, [ =( multiply( inverse( multiply( inverse( multiply( T,
% 0.71/1.09 inverse( Y ) ) ), multiply( T, inverse( inverse( multiply( inverse( Z ),
% 0.71/1.09 Z ) ) ) ) ) ), inverse( multiply( inverse( inverse( multiply( inverse( Z
% 0.71/1.09 ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply(
% 0.71/1.09 inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) ) ),
% 0.71/1.09 multiply( X, inverse( Z ) ) ) ) ] )
% 0.71/1.09 , 0, clause( 124, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.71/1.09 inverse( Y ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( X, inverse( Y ) ) ), multiply( X, inverse(
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), inverse( multiply(
% 0.71/1.09 inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse( multiply(
% 0.71/1.09 inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 14, substitution( 0, [ :=( X, U ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.09 , substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 5, [ =( multiply( inverse( multiply( T, inverse( multiply( inverse(
% 0.71/1.09 Y ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( U, inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( U,
% 0.71/1.09 inverse( Z ) ) ) ) ] )
% 0.71/1.09 , clause( 142, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.71/1.09 inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( U, inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( U,
% 0.71/1.09 inverse( Z ) ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, W ), :=( U
% 0.71/1.09 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 148, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.71/1.09 inverse( Y ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( X, inverse( Y ) ) ), multiply( X, inverse(
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), inverse( multiply(
% 0.71/1.09 inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse( multiply(
% 0.71/1.09 inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 3, [ =( multiply( inverse( multiply( inverse( multiply( T,
% 0.71/1.09 inverse( Y ) ) ), multiply( T, inverse( inverse( multiply( inverse( Z ),
% 0.71/1.09 Z ) ) ) ) ) ), inverse( multiply( inverse( inverse( multiply( inverse( Z
% 0.71/1.09 ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply(
% 0.71/1.09 inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) ) ),
% 0.71/1.09 multiply( X, inverse( Z ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 161, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( Y ), inverse( multiply( inverse( Z ), Z ) ) )
% 0.71/1.09 ), Z ) ) ) ), multiply( X, inverse( Z ) ) ), Y ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 148, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.71/1.09 inverse( Y ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( X, inverse( Y ) ) ), multiply( X, inverse(
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), inverse( multiply(
% 0.71/1.09 inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse( multiply(
% 0.71/1.09 inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 21, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y
% 0.71/1.09 , multiply( inverse( Y ), inverse( multiply( inverse( Z ), Z ) ) ) ),
% 0.71/1.09 :=( Z, Z ), :=( T, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 6, [ =( multiply( inverse( multiply( T, inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( Y ), inverse( multiply( inverse( Z ), Z ) ) ) ), Z ) )
% 0.71/1.09 ) ), multiply( T, inverse( Z ) ) ), Y ) ] )
% 0.71/1.09 , clause( 161, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( Y ), inverse( multiply( inverse( Z ), Z ) ) )
% 0.71/1.09 ), Z ) ) ) ), multiply( X, inverse( Z ) ) ), Y ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 173, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.71/1.09 inverse( multiply( Y, inverse( multiply( inverse( multiply( inverse( Z )
% 0.71/1.09 , inverse( multiply( inverse( T ), T ) ) ) ), T ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( T ) ) ) ) ) ), multiply( X, inverse( multiply( Y, inverse( T ) )
% 0.71/1.09 ) ) ), multiply( inverse( multiply( U, inverse( Z ) ) ), multiply( U,
% 0.71/1.09 inverse( multiply( Y, inverse( T ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( Y ), inverse( multiply( inverse( Z ), Z ) ) )
% 0.71/1.09 ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 5, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.71/1.09 inverse( Y ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( inverse(
% 0.71/1.09 multiply( U, inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( U,
% 0.71/1.09 inverse( Z ) ) ) ) ] )
% 0.71/1.09 , 0, 38, substitution( 0, [ :=( X, W ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.71/1.09 , substitution( 1, [ :=( X, V0 ), :=( Y, multiply( Y, inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( Z ), inverse( multiply( inverse( T ), T ) ) )
% 0.71/1.09 ), T ) ) ) ), :=( Z, multiply( Y, inverse( T ) ) ), :=( T, X ), :=( U, U
% 0.71/1.09 )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 176, [ =( multiply( inverse( multiply( X, inverse( Z ) ) ),
% 0.71/1.09 multiply( X, inverse( multiply( Y, inverse( T ) ) ) ) ), multiply(
% 0.71/1.09 inverse( multiply( U, inverse( Z ) ) ), multiply( U, inverse( multiply( Y
% 0.71/1.09 , inverse( T ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( Y ), inverse( multiply( inverse( Z ), Z ) ) )
% 0.71/1.09 ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 173, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.71/1.09 inverse( multiply( Y, inverse( multiply( inverse( multiply( inverse( Z )
% 0.71/1.09 , inverse( multiply( inverse( T ), T ) ) ) ), T ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( T ) ) ) ) ) ), multiply( X, inverse( multiply( Y, inverse( T ) )
% 0.71/1.09 ) ) ), multiply( inverse( multiply( U, inverse( Z ) ) ), multiply( U,
% 0.71/1.09 inverse( multiply( Y, inverse( T ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, W ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.71/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.71/1.09 U, U )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 10, [ =( multiply( inverse( multiply( T, inverse( Y ) ) ), multiply(
% 0.71/1.09 T, inverse( multiply( X, inverse( Z ) ) ) ) ), multiply( inverse(
% 0.71/1.09 multiply( U, inverse( Y ) ) ), multiply( U, inverse( multiply( X, inverse(
% 0.71/1.09 Z ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 176, [ =( multiply( inverse( multiply( X, inverse( Z ) ) ),
% 0.71/1.09 multiply( X, inverse( multiply( Y, inverse( T ) ) ) ) ), multiply(
% 0.71/1.09 inverse( multiply( U, inverse( Z ) ) ), multiply( U, inverse( multiply( Y
% 0.71/1.09 , inverse( T ) ) ) ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U
% 0.71/1.09 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 204, [ =( multiply( inverse( multiply( X, inverse( Y ) ) ),
% 0.71/1.09 multiply( X, inverse( multiply( inverse( multiply( inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( Z, inverse( multiply( inverse( T )
% 0.71/1.09 , U ) ) ) ), multiply( Z, inverse( U ) ) ) ), inverse( multiply( inverse(
% 0.71/1.09 W ), multiply( inverse( U ), U ) ) ) ) ), T ) ), inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( U ), U ) ), multiply( inverse( U ), U ) ) ) )
% 0.71/1.09 ) ) ), multiply( inverse( multiply( V0, inverse( Y ) ) ), multiply( V0,
% 0.71/1.09 inverse( W ) ) ) ) ] )
% 0.71/1.09 , clause( 4, [ =( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) )
% 0.71/1.09 ), multiply( X, inverse( Z ) ) ) ), inverse( multiply( inverse( T ),
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ) ) ), Y ) ), inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ), multiply( inverse( Z ), Z ) ) ) ), T ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, clause( 10, [ =( multiply( inverse( multiply( T, inverse( Y ) ) ),
% 0.71/1.09 multiply( T, inverse( multiply( X, inverse( Z ) ) ) ) ), multiply(
% 0.71/1.09 inverse( multiply( U, inverse( Y ) ) ), multiply( U, inverse( multiply( X
% 0.71/1.09 , inverse( Z ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 58, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W )] )
% 0.71/1.09 , substitution( 1, [ :=( X, inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( Z, inverse( multiply( inverse( T ), U ) ) )
% 0.71/1.09 ), multiply( Z, inverse( U ) ) ) ), inverse( multiply( inverse( W ),
% 0.71/1.09 multiply( inverse( U ), U ) ) ) ) ), T ) ) ), :=( Y, Y ), :=( Z, multiply(
% 0.71/1.09 inverse( multiply( inverse( U ), U ) ), multiply( inverse( U ), U ) ) ),
% 0.71/1.09 :=( T, X ), :=( U, V0 )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 206, [ =( multiply( inverse( multiply( X, inverse( Y ) ) ),
% 0.71/1.09 multiply( X, inverse( W ) ) ), multiply( inverse( multiply( V0, inverse(
% 0.71/1.09 Y ) ) ), multiply( V0, inverse( W ) ) ) ) ] )
% 0.71/1.09 , clause( 4, [ =( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) )
% 0.71/1.09 ), multiply( X, inverse( Z ) ) ) ), inverse( multiply( inverse( T ),
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ) ) ), Y ) ), inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ), multiply( inverse( Z ), Z ) ) ) ), T ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, clause( 204, [ =( multiply( inverse( multiply( X, inverse( Y ) ) ),
% 0.71/1.09 multiply( X, inverse( multiply( inverse( multiply( inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( Z, inverse( multiply( inverse( T )
% 0.71/1.09 , U ) ) ) ), multiply( Z, inverse( U ) ) ) ), inverse( multiply( inverse(
% 0.71/1.09 W ), multiply( inverse( U ), U ) ) ) ) ), T ) ), inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( U ), U ) ), multiply( inverse( U ), U ) ) ) )
% 0.71/1.09 ) ) ), multiply( inverse( multiply( V0, inverse( Y ) ) ), multiply( V0,
% 0.71/1.09 inverse( W ) ) ) ) ] )
% 0.71/1.09 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W )] )
% 0.71/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.71/1.09 U, U ), :=( W, W ), :=( V0, V0 )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 11, [ =( multiply( inverse( multiply( U, inverse( W ) ) ), multiply(
% 0.71/1.09 U, inverse( T ) ) ), multiply( inverse( multiply( V0, inverse( W ) ) ),
% 0.71/1.09 multiply( V0, inverse( T ) ) ) ) ] )
% 0.71/1.09 , clause( 206, [ =( multiply( inverse( multiply( X, inverse( Y ) ) ),
% 0.71/1.09 multiply( X, inverse( W ) ) ), multiply( inverse( multiply( V0, inverse(
% 0.71/1.09 Y ) ) ), multiply( V0, inverse( W ) ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V1 ), :=( T, V2 ), :=(
% 0.71/1.09 U, V3 ), :=( W, T ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 207, [ =( Y, multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 210, [ =( X, multiply( inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( X ), multiply( Z, inverse( T ) ) ) ) ) ),
% 0.71/1.09 multiply( Y, inverse( multiply( Z, inverse( T ) ) ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( U, inverse( T ) ) ), multiply( U, inverse( T
% 0.71/1.09 ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 11, [ =( multiply( inverse( multiply( U, inverse( W ) ) ),
% 0.71/1.09 multiply( U, inverse( T ) ) ), multiply( inverse( multiply( V0, inverse(
% 0.71/1.09 W ) ) ), multiply( V0, inverse( T ) ) ) ) ] )
% 0.71/1.09 , 0, clause( 207, [ =( Y, multiply( inverse( multiply( inverse( multiply( X
% 0.71/1.09 , inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.71/1.09 ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , 0, 24, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, T
% 0.71/1.09 ), :=( U, Z ), :=( W, T ), :=( V0, U )] ), substitution( 1, [ :=( X, Y )
% 0.71/1.09 , :=( Y, X ), :=( Z, multiply( Z, inverse( T ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 214, [ =( multiply( inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( X ), multiply( Z, inverse( T ) ) ) ) ) ),
% 0.71/1.09 multiply( Y, inverse( multiply( Z, inverse( T ) ) ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( U, inverse( T ) ) ), multiply( U, inverse( T
% 0.71/1.09 ) ) ) ) ), X ) ] )
% 0.71/1.09 , clause( 210, [ =( X, multiply( inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( X ), multiply( Z, inverse( T ) ) ) ) ) ),
% 0.71/1.09 multiply( Y, inverse( multiply( Z, inverse( T ) ) ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( U, inverse( T ) ) ), multiply( U, inverse( T
% 0.71/1.09 ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.71/1.09 :=( U, U )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 13, [ =( multiply( inverse( multiply( inverse( multiply( T, inverse(
% 0.71/1.09 multiply( inverse( U ), multiply( X, inverse( Y ) ) ) ) ) ), multiply( T
% 0.71/1.09 , inverse( multiply( X, inverse( Y ) ) ) ) ) ), inverse( multiply(
% 0.71/1.09 inverse( multiply( Z, inverse( Y ) ) ), multiply( Z, inverse( Y ) ) ) ) )
% 0.71/1.09 , U ) ] )
% 0.71/1.09 , clause( 214, [ =( multiply( inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( X ), multiply( Z, inverse( T ) ) ) ) ) ),
% 0.71/1.09 multiply( Y, inverse( multiply( Z, inverse( T ) ) ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( U, inverse( T ) ) ), multiply( U, inverse( T
% 0.71/1.09 ) ) ) ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, X ), :=( T, Y ), :=( U
% 0.71/1.09 , Z )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 216, [ =( Y, multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), multiply( Z, inverse( T ) ) ) ) ) ),
% 0.71/1.09 multiply( X, inverse( multiply( Z, inverse( T ) ) ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( U, inverse( T ) ) ), multiply( U, inverse( T
% 0.71/1.09 ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 13, [ =( multiply( inverse( multiply( inverse( multiply( T,
% 0.71/1.09 inverse( multiply( inverse( U ), multiply( X, inverse( Y ) ) ) ) ) ),
% 0.71/1.09 multiply( T, inverse( multiply( X, inverse( Y ) ) ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( Z, inverse( Y ) ) ), multiply( Z, inverse( Y
% 0.71/1.09 ) ) ) ) ), U ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, X ),
% 0.71/1.09 :=( U, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 220, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( Z ) ) ), multiply( Y, inverse( Z ) ) ) ) ),
% 0.71/1.09 multiply( inverse( X ), inverse( multiply( inverse( multiply( U, inverse(
% 0.71/1.09 Z ) ) ), multiply( U, inverse( Z ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( Y ), inverse( multiply( inverse( Z ), Z ) ) )
% 0.71/1.09 ), Z ) ) ) ), multiply( T, inverse( Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 216, [ =( Y, multiply( inverse( multiply( inverse( multiply( X
% 0.71/1.09 , inverse( multiply( inverse( Y ), multiply( Z, inverse( T ) ) ) ) ) ),
% 0.71/1.09 multiply( X, inverse( multiply( Z, inverse( T ) ) ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( U, inverse( T ) ) ), multiply( U, inverse( T
% 0.71/1.09 ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 17, substitution( 0, [ :=( X, W ), :=( Y, X ), :=( Z, multiply( Y,
% 0.71/1.09 inverse( Z ) ) ), :=( T, T )] ), substitution( 1, [ :=( X, T ), :=( Y,
% 0.71/1.09 multiply( inverse( X ), inverse( multiply( inverse( multiply( Y, inverse(
% 0.71/1.09 Z ) ) ), multiply( Y, inverse( Z ) ) ) ) ) ), :=( Z, Y ), :=( T, Z ),
% 0.71/1.09 :=( U, U )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 16, [ =( multiply( inverse( Y ), inverse( multiply( inverse(
% 0.71/1.09 multiply( U, inverse( T ) ) ), multiply( U, inverse( T ) ) ) ) ),
% 0.71/1.09 multiply( inverse( Y ), inverse( multiply( inverse( multiply( Z, inverse(
% 0.71/1.09 T ) ) ), multiply( Z, inverse( T ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 220, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( Z ) ) ), multiply( Y, inverse( Z ) ) ) ) ),
% 0.71/1.09 multiply( inverse( X ), inverse( multiply( inverse( multiply( U, inverse(
% 0.71/1.09 Z ) ) ), multiply( U, inverse( Z ) ) ) ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, U ), :=( Z, T ), :=( T, W ), :=( U
% 0.71/1.09 , Z )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 244, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( multiply( inverse( multiply( inverse( multiply( inverse( T ),
% 0.71/1.09 multiply( inverse( multiply( inverse( multiply( U, inverse( multiply(
% 0.71/1.09 inverse( T ), Z ) ) ) ), multiply( U, inverse( Z ) ) ) ), inverse( Z ) )
% 0.71/1.09 ) ), inverse( multiply( inverse( Z ), Z ) ) ) ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( inverse( multiply( inverse( Y ), multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( X, inverse( multiply( inverse( Y )
% 0.71/1.09 , Z ) ) ) ), multiply( X, inverse( Z ) ) ) ), inverse( Z ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ), Z ) ] )
% 0.71/1.09 , 0, clause( 16, [ =( multiply( inverse( Y ), inverse( multiply( inverse(
% 0.71/1.09 multiply( U, inverse( T ) ) ), multiply( U, inverse( T ) ) ) ) ),
% 0.71/1.09 multiply( inverse( Y ), inverse( multiply( inverse( multiply( Z, inverse(
% 0.71/1.09 T ) ) ), multiply( Z, inverse( T ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 54, substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, W ), :=( Y, X ), :=( Z, inverse( multiply(
% 0.71/1.09 inverse( T ), multiply( inverse( multiply( inverse( multiply( U, inverse(
% 0.71/1.09 multiply( inverse( T ), Z ) ) ) ), multiply( U, inverse( Z ) ) ) ),
% 0.71/1.09 inverse( Z ) ) ) ) ), :=( T, multiply( inverse( Z ), Z ) ), :=( U, Y )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 245, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( inverse( multiply( inverse( Y ), multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( X, inverse( multiply( inverse( Y )
% 0.71/1.09 , Z ) ) ) ), multiply( X, inverse( Z ) ) ) ), inverse( Z ) ) ) ), inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ), Z ) ] )
% 0.71/1.09 , 0, clause( 244, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( multiply( inverse( multiply( inverse( multiply( inverse( T ),
% 0.71/1.09 multiply( inverse( multiply( inverse( multiply( U, inverse( multiply(
% 0.71/1.09 inverse( T ), Z ) ) ) ), multiply( U, inverse( Z ) ) ) ), inverse( Z ) )
% 0.71/1.09 ) ), inverse( multiply( inverse( Z ), Z ) ) ) ), Z ) ) ) ) ] )
% 0.71/1.09 , 0, 27, substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.09 , U )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 21, [ =( multiply( inverse( T ), inverse( multiply( inverse(
% 0.71/1.09 multiply( U, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( U,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( T ),
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 245, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 261, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( T, inverse( multiply( inverse( U ), Z ) ) ) ), multiply( T,
% 0.71/1.09 inverse( Z ) ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ), U ) ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 16, [ =( multiply( inverse( Y ), inverse( multiply( inverse(
% 0.71/1.09 multiply( U, inverse( T ) ) ), multiply( U, inverse( T ) ) ) ) ),
% 0.71/1.09 multiply( inverse( Y ), inverse( multiply( inverse( multiply( Z, inverse(
% 0.71/1.09 T ) ) ), multiply( Z, inverse( T ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 47, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, W ), :=( Y, X ), :=( Z, inverse( multiply(
% 0.71/1.09 inverse( multiply( T, inverse( multiply( inverse( U ), Z ) ) ) ),
% 0.71/1.09 multiply( T, inverse( Z ) ) ) ) ), :=( T, multiply( inverse( Z ), Z ) ),
% 0.71/1.09 :=( U, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 262, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( multiply( inverse( U ), U ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 261, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( T, inverse( multiply( inverse( U ), Z ) ) ) ), multiply( T,
% 0.71/1.09 inverse( Z ) ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ), U ) ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , 0, 27, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.09 , U )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 266, [ =( multiply( inverse( X ), inverse( multiply( inverse( Z ),
% 0.71/1.09 Z ) ) ), multiply( inverse( X ), inverse( multiply( inverse( T ), T ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 21, [ =( multiply( inverse( T ), inverse( multiply( inverse(
% 0.71/1.09 multiply( U, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( U,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( T ),
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , 0, clause( 262, [ =( multiply( inverse( X ), inverse( multiply( inverse(
% 0.71/1.09 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ) ) ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( multiply( inverse( U ), U ) ) ) ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, Z ), :=( T, X ),
% 0.71/1.09 :=( U, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.71/1.09 :=( T, V0 ), :=( U, T )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 22, [ =( multiply( inverse( T ), inverse( multiply( inverse( Y ), Y
% 0.71/1.09 ) ) ), multiply( inverse( T ), inverse( multiply( inverse( Z ), Z ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 266, [ =( multiply( inverse( X ), inverse( multiply( inverse( Z )
% 0.71/1.09 , Z ) ) ), multiply( inverse( X ), inverse( multiply( inverse( T ), T ) )
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Y ), :=( T, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 267, [ =( Y, multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 268, [ =( X, multiply( inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( X ), Z ) ) ) ), multiply( Y, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( T ), T ) ) ) ) ] )
% 0.71/1.09 , clause( 22, [ =( multiply( inverse( T ), inverse( multiply( inverse( Y )
% 0.71/1.09 , Y ) ) ), multiply( inverse( T ), inverse( multiply( inverse( Z ), Z ) )
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , 0, clause( 267, [ =( Y, multiply( inverse( multiply( inverse( multiply( X
% 0.71/1.09 , inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.71/1.09 ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, U ), :=( Y, Z ), :=( Z, T ), :=( T,
% 0.71/1.09 multiply( inverse( multiply( Y, inverse( multiply( inverse( X ), Z ) ) )
% 0.71/1.09 ), multiply( Y, inverse( Z ) ) ) )] ), substitution( 1, [ :=( X, Y ),
% 0.71/1.09 :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 277, [ =( multiply( inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( X ), Z ) ) ) ), multiply( Y, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( T ), T ) ) ), X ) ] )
% 0.71/1.09 , clause( 268, [ =( X, multiply( inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( X ), Z ) ) ) ), multiply( Y, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( T ), T ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 30, [ =( multiply( inverse( multiply( inverse( multiply( X, inverse(
% 0.71/1.09 multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) ) ),
% 0.71/1.09 inverse( multiply( inverse( T ), T ) ) ), Y ) ] )
% 0.71/1.09 , clause( 277, [ =( multiply( inverse( multiply( inverse( multiply( Y,
% 0.71/1.09 inverse( multiply( inverse( X ), Z ) ) ) ), multiply( Y, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( T ), T ) ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 283, [ =( T, multiply( inverse( multiply( inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( X, inverse( multiply( inverse( Y )
% 0.71/1.09 , Z ) ) ) ), multiply( X, inverse( Z ) ) ) ), inverse( multiply( inverse(
% 0.71/1.09 T ), multiply( inverse( Z ), Z ) ) ) ) ), Y ) ), inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ), multiply( inverse( Z ), Z ) ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 4, [ =( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( multiply( X, inverse( multiply( inverse( Y ), Z ) ) )
% 0.71/1.09 ), multiply( X, inverse( Z ) ) ) ), inverse( multiply( inverse( T ),
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ) ) ), Y ) ), inverse( multiply( inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ), multiply( inverse( Z ), Z ) ) ) ), T ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 290, [ =( multiply( inverse( X ), X ), multiply( inverse( multiply(
% 0.71/1.09 inverse( Z ), Z ) ), inverse( multiply( inverse( multiply( inverse( X ),
% 0.71/1.09 X ) ), multiply( inverse( X ), X ) ) ) ) ) ] )
% 0.71/1.09 , clause( 30, [ =( multiply( inverse( multiply( inverse( multiply( X,
% 0.71/1.09 inverse( multiply( inverse( Y ), Z ) ) ) ), multiply( X, inverse( Z ) ) )
% 0.71/1.09 ), inverse( multiply( inverse( T ), T ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 283, [ =( T, multiply( inverse( multiply( inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( multiply( X, inverse( multiply( inverse( Y )
% 0.71/1.09 , Z ) ) ) ), multiply( X, inverse( Z ) ) ) ), inverse( multiply( inverse(
% 0.71/1.09 T ), multiply( inverse( Z ), Z ) ) ) ) ), Y ) ), inverse( multiply(
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ), multiply( inverse( Z ), Z ) ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.71/1.09 multiply( inverse( X ), X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z
% 0.71/1.09 ), :=( Z, X ), :=( T, multiply( inverse( X ), X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 294, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( inverse( X ), X ) ), multiply( inverse( X )
% 0.71/1.09 , X ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.71/1.09 , clause( 290, [ =( multiply( inverse( X ), X ), multiply( inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ), inverse( multiply( inverse( multiply(
% 0.71/1.09 inverse( X ), X ) ), multiply( inverse( X ), X ) ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 42, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), inverse(
% 0.71/1.09 multiply( inverse( multiply( inverse( Z ), Z ) ), multiply( inverse( Z )
% 0.71/1.09 , Z ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 0.71/1.09 , clause( 294, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ),
% 0.71/1.09 inverse( multiply( inverse( multiply( inverse( X ), X ) ), multiply(
% 0.71/1.09 inverse( X ), X ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 298, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.71/1.09 inverse( X ), X ) ), inverse( multiply( inverse( multiply( inverse( Y ),
% 0.71/1.09 Y ) ), multiply( inverse( Y ), Y ) ) ) ) ) ] )
% 0.71/1.09 , clause( 42, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ),
% 0.71/1.09 inverse( multiply( inverse( multiply( inverse( Z ), Z ) ), multiply(
% 0.71/1.09 inverse( Z ), Z ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 302, [ =( multiply( inverse( X ), X ), multiply( inverse( multiply(
% 0.71/1.09 inverse( Y ), Y ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 22, [ =( multiply( inverse( T ), inverse( multiply( inverse( Y )
% 0.71/1.09 , Y ) ) ), multiply( inverse( T ), inverse( multiply( inverse( Z ), Z ) )
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , 0, clause( 298, [ =( multiply( inverse( Y ), Y ), multiply( inverse(
% 0.71/1.09 multiply( inverse( X ), X ) ), inverse( multiply( inverse( multiply(
% 0.71/1.09 inverse( Y ), Y ) ), multiply( inverse( Y ), Y ) ) ) ) ) ] )
% 0.71/1.09 , 0, 5, substitution( 0, [ :=( X, T ), :=( Y, multiply( inverse( X ), X ) )
% 0.71/1.09 , :=( Z, Z ), :=( T, multiply( inverse( Y ), Y ) )] ), substitution( 1, [
% 0.71/1.09 :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 44, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.71/1.09 inverse( X ), X ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , clause( 302, [ =( multiply( inverse( X ), X ), multiply( inverse(
% 0.71/1.09 multiply( inverse( Y ), Y ) ), inverse( multiply( inverse( Z ), Z ) ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 315, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.71/1.09 , clause( 44, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.71/1.09 inverse( X ), X ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 316, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), inverse(
% 0.71/1.09 multiply( inverse( Z ), Z ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.71/1.09 , clause( 44, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.71/1.09 inverse( X ), X ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 317, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 315, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ),
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ), multiply( inverse( X ), X ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, clause( 316, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ),
% 0.71/1.09 inverse( multiply( inverse( Z ), Z ) ) ), multiply( inverse( X ), X ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.09 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 52, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 317, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 318, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.71/1.09 , b1 ) ) ) ] )
% 0.71/1.09 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.71/1.09 , a1 ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 320, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.71/1.09 , X ) ) ) ] )
% 0.71/1.09 , clause( 52, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 318, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.71/1.09 b1 ), b1 ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, b1 )] )
% 0.71/1.09 , substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 321, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , clause( 52, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 320, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.71/1.09 X ), X ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, a1 )] )
% 0.71/1.09 , substitution( 1, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 89, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.71/1.09 a1 ) ) ) ] )
% 0.71/1.09 , clause( 321, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.71/1.09 , X ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.71/1.09 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 322, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.71/1.09 , X ) ) ) ] )
% 0.71/1.09 , clause( 89, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.71/1.09 , a1 ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqrefl(
% 0.71/1.09 clause( 323, [] )
% 0.71/1.09 , clause( 322, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.71/1.09 ), X ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 90, [] )
% 0.71/1.09 , clause( 323, [] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 end.
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 2501
% 0.71/1.09 space for clauses: 17785
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 1332
% 0.71/1.09 clauses kept: 91
% 0.71/1.09 clauses selected: 16
% 0.71/1.09 clauses deleted: 3
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 2197
% 0.71/1.09 literals s-matched: 951
% 0.71/1.09 literals matched: 629
% 0.71/1.09 full subsumption: 0
% 0.71/1.09
% 0.71/1.09 checksum: -1871879906
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------