TSTP Solution File: GRP770-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP770-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:39:29 EDT 2022
% Result : Unsatisfiable 5.17s 5.58s
% Output : Refutation 5.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP770-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 20:08:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.17/5.58 *** allocated 10000 integers for termspace/termends
% 5.17/5.58 *** allocated 10000 integers for clauses
% 5.17/5.58 *** allocated 10000 integers for justifications
% 5.17/5.58 Bliksem 1.12
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Automatic Strategy Selection
% 5.17/5.58
% 5.17/5.58 Clauses:
% 5.17/5.58 [
% 5.17/5.58 [ =( product( X, one ), X ) ],
% 5.17/5.58 [ =( product( one, X ), X ) ],
% 5.17/5.58 [ =( product( X, difference( X, Y ) ), Y ) ],
% 5.17/5.58 [ =( difference( X, product( X, Y ) ), Y ) ],
% 5.17/5.58 [ =( quotient( product( X, Y ), Y ), X ) ],
% 5.17/5.58 [ =( product( quotient( X, Y ), Y ), X ) ],
% 5.17/5.58 [ =( difference( X, product( product( X, Y ), Z ) ), quotient( product(
% 5.17/5.58 Y, product( Z, X ) ), X ) ) ],
% 5.17/5.58 [ =( difference( product( X, Y ), product( X, product( Y, Z ) ) ),
% 5.17/5.58 quotient( quotient( product( Z, product( X, Y ) ), Y ), X ) ) ],
% 5.17/5.58 [ =( i( X ), difference( X, one ) ) ],
% 5.17/5.58 [ =( j( X ), quotient( one, X ) ) ],
% 5.17/5.58 [ =( product( i( X ), X ), product( X, j( X ) ) ) ],
% 5.17/5.58 [ =( eta( X ), product( i( X ), X ) ) ],
% 5.17/5.58 [ =( product( i( i( X ) ), Y ), product( eta( X ), product( X, Y ) ) ) ]
% 5.17/5.58 ,
% 5.17/5.58 [ =( product( X, product( eta( X ), Y ) ), product( j( j( X ) ), Y ) ) ]
% 5.17/5.58 ,
% 5.17/5.58 [ =( product( X, product( Y, eta( X ) ) ), product( product( X, Y ), eta(
% 5.17/5.58 X ) ) ) ],
% 5.17/5.58 [ =( product( eta( X ), product( Y, Z ) ), product( product( eta( X ), Y
% 5.17/5.58 ), Z ) ) ],
% 5.17/5.58 [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) ) ],
% 5.17/5.58 [ =( product( product( product( quotient( j( X ), X ), product( X, X ) )
% 5.17/5.58 , Y ), Z ), product( product( quotient( j( X ), X ), product( X, X ) ),
% 5.17/5.58 product( Y, Z ) ) ) ],
% 5.17/5.58 [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ],
% 5.17/5.58 [ =( t( eta( X ), product( Y, Z ) ), product( t( eta( X ), Y ), t( eta(
% 5.17/5.58 X ), Z ) ) ) ],
% 5.17/5.58 [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y ) ) ],
% 5.17/5.58 [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ],
% 5.17/5.58 [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ],
% 5.17/5.58 [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ],
% 5.17/5.58 [ ~( =( product( x0, product( x1, x2 ) ), product( quotient( product( x0
% 5.17/5.58 , x1 ), x0 ), product( x0, x2 ) ) ) ) ]
% 5.17/5.58 ] .
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 percentage equality = 1.000000, percentage horn = 1.000000
% 5.17/5.58 This is a pure equality problem
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Options Used:
% 5.17/5.58
% 5.17/5.58 useres = 1
% 5.17/5.58 useparamod = 1
% 5.17/5.58 useeqrefl = 1
% 5.17/5.58 useeqfact = 1
% 5.17/5.58 usefactor = 1
% 5.17/5.58 usesimpsplitting = 0
% 5.17/5.58 usesimpdemod = 5
% 5.17/5.58 usesimpres = 3
% 5.17/5.58
% 5.17/5.58 resimpinuse = 1000
% 5.17/5.58 resimpclauses = 20000
% 5.17/5.58 substype = eqrewr
% 5.17/5.58 backwardsubs = 1
% 5.17/5.58 selectoldest = 5
% 5.17/5.58
% 5.17/5.58 litorderings [0] = split
% 5.17/5.58 litorderings [1] = extend the termordering, first sorting on arguments
% 5.17/5.58
% 5.17/5.58 termordering = kbo
% 5.17/5.58
% 5.17/5.58 litapriori = 0
% 5.17/5.58 termapriori = 1
% 5.17/5.58 litaposteriori = 0
% 5.17/5.58 termaposteriori = 0
% 5.17/5.58 demodaposteriori = 0
% 5.17/5.58 ordereqreflfact = 0
% 5.17/5.58
% 5.17/5.58 litselect = negord
% 5.17/5.58
% 5.17/5.58 maxweight = 15
% 5.17/5.58 maxdepth = 30000
% 5.17/5.58 maxlength = 115
% 5.17/5.58 maxnrvars = 195
% 5.17/5.58 excuselevel = 1
% 5.17/5.58 increasemaxweight = 1
% 5.17/5.58
% 5.17/5.58 maxselected = 10000000
% 5.17/5.58 maxnrclauses = 10000000
% 5.17/5.58
% 5.17/5.58 showgenerated = 0
% 5.17/5.58 showkept = 0
% 5.17/5.58 showselected = 0
% 5.17/5.58 showdeleted = 0
% 5.17/5.58 showresimp = 1
% 5.17/5.58 showstatus = 2000
% 5.17/5.58
% 5.17/5.58 prologoutput = 1
% 5.17/5.58 nrgoals = 5000000
% 5.17/5.58 totalproof = 1
% 5.17/5.58
% 5.17/5.58 Symbols occurring in the translation:
% 5.17/5.58
% 5.17/5.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.17/5.58 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 5.17/5.58 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 5.17/5.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.17/5.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.17/5.58 one [40, 0] (w:1, o:7, a:1, s:1, b:0),
% 5.17/5.58 product [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 5.17/5.58 difference [43, 2] (w:1, o:50, a:1, s:1, b:0),
% 5.17/5.58 quotient [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 5.17/5.58 i [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 5.17/5.58 j [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 5.17/5.58 eta [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 5.17/5.58 t [49, 2] (w:1, o:52, a:1, s:1, b:0),
% 5.17/5.58 x0 [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 5.17/5.58 x1 [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 5.17/5.58 x2 [52, 0] (w:1, o:15, a:1, s:1, b:0).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Starting Search:
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Intermediate Status:
% 5.17/5.58 Generated: 21564
% 5.17/5.58 Kept: 2051
% 5.17/5.58 Inuse: 280
% 5.17/5.58 Deleted: 146
% 5.17/5.58 Deletedinuse: 37
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Intermediate Status:
% 5.17/5.58 Generated: 46874
% 5.17/5.58 Kept: 4059
% 5.17/5.58 Inuse: 492
% 5.17/5.58 Deleted: 493
% 5.17/5.58 Deletedinuse: 145
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Intermediate Status:
% 5.17/5.58 Generated: 73496
% 5.17/5.58 Kept: 6069
% 5.17/5.58 Inuse: 669
% 5.17/5.58 Deleted: 631
% 5.17/5.58 Deletedinuse: 232
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Intermediate Status:
% 5.17/5.58 Generated: 125845
% 5.17/5.58 Kept: 8072
% 5.17/5.58 Inuse: 891
% 5.17/5.58 Deleted: 798
% 5.17/5.58 Deletedinuse: 277
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Intermediate Status:
% 5.17/5.58 Generated: 228988
% 5.17/5.58 Kept: 10081
% 5.17/5.58 Inuse: 1177
% 5.17/5.58 Deleted: 1244
% 5.17/5.58 Deletedinuse: 337
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Intermediate Status:
% 5.17/5.58 Generated: 376735
% 5.17/5.58 Kept: 12082
% 5.17/5.58 Inuse: 1489
% 5.17/5.58 Deleted: 1483
% 5.17/5.58 Deletedinuse: 392
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58 Resimplifying inuse:
% 5.17/5.58 Done
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Bliksems!, er is een bewijs:
% 5.17/5.58 % SZS status Unsatisfiable
% 5.17/5.58 % SZS output start Refutation
% 5.17/5.58
% 5.17/5.58 clause( 0, [ =( product( X, one ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1, [ =( product( one, X ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference( X
% 5.17/5.58 , product( product( X, Y ), Z ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) ), X
% 5.17/5.58 ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X ) )
% 5.17/5.58 , Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 14, [ =( product( X, product( Y, eta( X ) ) ), product( product( X
% 5.17/5.58 , Y ), eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.17/5.58 eta( X ), Y ), Z ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 20, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y ) ) ]
% 5.17/5.58 )
% 5.17/5.58 .
% 5.17/5.58 clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 24, [ ~( =( product( t( x0, x1 ), product( x0, x2 ) ), product( x0
% 5.17/5.58 , product( x1, x2 ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 28, [ =( difference( one, X ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 34, [ =( j( i( X ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 36, [ =( quotient( X, X ), one ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 37, [ =( difference( difference( Z, product( product( Z, X ), Y ) )
% 5.17/5.58 , product( X, product( Y, Z ) ) ), Z ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 39, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.17/5.58 quotient( Y, X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 42, [ =( product( difference( Z, product( product( Z, X ), Y ) ), Z
% 5.17/5.58 ), product( X, product( Y, Z ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 44, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y )
% 5.17/5.58 ) ), quotient( product( Z, X ), Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 45, [ =( quotient( eta( product( X, Y ) ), Y ), difference( Y, eta(
% 5.17/5.58 X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 47, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 49, [ =( difference( i( X ), eta( X ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 51, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 53, [ =( quotient( difference( X, Y ), Y ), difference( product( Y
% 5.17/5.58 , X ), Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 54, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 5.17/5.58 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 56, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 61, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 71, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 72, [ =( product( t( X, Y ), X ), product( X, Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 73, [ =( quotient( X, quotient( X, Y ) ), t( quotient( X, Y ), Y )
% 5.17/5.58 ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 87, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 91, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 93, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 96, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 104, [ =( quotient( product( product( X, Y ), eta( X ) ), X ), t( X
% 5.17/5.58 , product( Y, eta( X ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 127, [ =( difference( Z, product( product( Z, eta( X ) ), Y ) ),
% 5.17/5.58 product( eta( X ), Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 130, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 5.17/5.58 )
% 5.17/5.58 .
% 5.17/5.58 clause( 132, [ =( difference( eta( X ), product( product( eta( X ), Y ), Z
% 5.17/5.58 ) ), product( Y, Z ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 159, [ =( product( j( X ), i( i( X ) ) ), j( eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 185, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 194, [ =( quotient( i( X ), j( X ) ), eta( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 215, [ =( quotient( X, j( j( X ) ) ), eta( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 232, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 242, [ =( eta( eta( X ) ), one ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 270, [ =( difference( X, i( Y ) ), i( product( Y, X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 323, [ =( difference( difference( Y, eta( X ) ), eta( product( X, Y
% 5.17/5.58 ) ) ), Y ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 331, [ =( quotient( i( X ), Y ), difference( X, j( Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 364, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.17/5.58 product( X, Y ), X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 415, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.17/5.58 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 419, [ =( quotient( eta( difference( Y, X ) ), Y ), difference( Y,
% 5.17/5.58 eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 423, [ =( difference( X, eta( product( X, Y ) ) ), quotient( eta( Y
% 5.17/5.58 ), X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 424, [ =( quotient( eta( product( X, Y ) ), X ), difference( X, eta(
% 5.17/5.58 t( X, Y ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) ) ]
% 5.17/5.58 )
% 5.17/5.58 .
% 5.17/5.58 clause( 437, [ =( quotient( eta( quotient( eta( X ), Y ) ), j( Y ) ), Y ) ]
% 5.17/5.58 )
% 5.17/5.58 .
% 5.17/5.58 clause( 439, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) ) )
% 5.17/5.58 ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 441, [ =( difference( i( eta( Y ) ), X ), product( eta( Y ), X ) )
% 5.17/5.58 ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 444, [ =( product( X, quotient( eta( X ), Y ) ), j( quotient( Y, X
% 5.17/5.58 ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) ) )
% 5.17/5.58 ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 457, [ =( quotient( eta( Y ), product( X, eta( Y ) ) ), j( X ) ) ]
% 5.17/5.58 )
% 5.17/5.58 .
% 5.17/5.58 clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) ) )
% 5.17/5.58 ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 462, [ =( difference( i( quotient( X, Z ) ), product( Z, difference(
% 5.17/5.58 X, eta( Y ) ) ) ), eta( Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 470, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X ) )
% 5.17/5.58 ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 471, [ =( difference( i( X ), difference( X, eta( Y ) ) ), eta( Y )
% 5.17/5.58 ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 475, [ =( difference( product( product( eta( X ), Y ), Z ), eta( X
% 5.17/5.58 ) ), i( product( Y, Z ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 476, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X ) )
% 5.17/5.58 ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 483, [ =( i( product( difference( eta( X ), Y ), Z ) ), difference(
% 5.17/5.58 Z, difference( Y, eta( X ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 495, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X ) ) ]
% 5.17/5.58 )
% 5.17/5.58 .
% 5.17/5.58 clause( 520, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X,
% 5.17/5.58 Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 523, [ =( difference( product( X, Y ), eta( X ) ), difference( Y, j(
% 5.17/5.58 X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 527, [ =( difference( product( Y, Z ), product( Y, quotient( X, Y )
% 5.17/5.58 ) ), quotient( difference( Z, X ), Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 536, [ =( difference( quotient( eta( Y ), X ), j( Z ) ), quotient(
% 5.17/5.58 quotient( X, eta( Y ) ), Z ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 564, [ =( product( Y, product( Z, eta( X ) ) ), product( product( Y
% 5.17/5.58 , Z ), eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 636, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 663, [ =( eta( product( Y, eta( X ) ) ), eta( Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 664, [ =( eta( difference( Y, eta( X ) ) ), eta( Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 685, [ =( eta( difference( eta( Y ), X ) ), eta( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 693, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 734, [ =( eta( product( product( eta( Z ), X ), Y ) ), eta( product(
% 5.17/5.58 X, Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 834, [ =( eta( difference( Y, j( X ) ) ), eta( product( X, Y ) ) )
% 5.17/5.58 ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 841, [ =( product( difference( Y, X ), eta( X ) ), difference( Y, j(
% 5.17/5.58 j( X ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 851, [ =( difference( difference( X, Y ), j( X ) ), difference( Y,
% 5.17/5.58 eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 869, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.17/5.58 quotient( Y, X ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 965, [ =( difference( difference( i( X ), Y ), X ), difference( Y,
% 5.17/5.58 eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 993, [ =( quotient( X, difference( Y, eta( X ) ) ), difference( i(
% 5.17/5.58 X ), Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 995, [ =( product( difference( i( X ), Y ), difference( Y, eta( X )
% 5.17/5.58 ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1001, [ =( difference( i( X ), quotient( eta( X ), Y ) ), quotient(
% 5.17/5.58 X, Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1007, [ =( product( i( X ), quotient( X, Y ) ), quotient( eta( X )
% 5.17/5.58 , Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1014, [ =( product( X, j( product( Y, X ) ) ), quotient( eta( X ),
% 5.17/5.58 Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1017, [ =( quotient( eta( X ), difference( Y, X ) ), product( i( X
% 5.17/5.58 ), Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1025, [ =( quotient( eta( Y ), quotient( X, Y ) ), product( Y, j( X
% 5.17/5.58 ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1038, [ =( product( difference( Y, X ), j( X ) ), difference( Y,
% 5.17/5.58 eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1069, [ =( difference( quotient( X, Y ), eta( X ) ), product( Y, j(
% 5.17/5.58 X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1075, [ =( difference( difference( X, j( Y ) ), eta( X ) ), product(
% 5.17/5.58 Y, X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1089, [ =( quotient( eta( X ), product( Y, X ) ), difference( X, j(
% 5.17/5.58 Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1090, [ =( difference( difference( Y, X ), eta( Y ) ), product( i(
% 5.17/5.58 X ), Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1091, [ =( quotient( eta( quotient( X, Y ) ), quotient( eta( X ), Y
% 5.17/5.58 ) ), Y ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1096, [ =( quotient( eta( difference( X, Y ) ), Y ), difference( Y
% 5.17/5.58 , eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1097, [ =( difference( Y, j( quotient( X, Y ) ) ), quotient( eta( Y
% 5.17/5.58 ), X ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1124, [ =( t( Y, quotient( eta( X ), Y ) ), quotient( eta( quotient(
% 5.17/5.58 X, Y ) ), Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1127, [ =( quotient( eta( product( Y, X ) ), quotient( eta( X ), Y
% 5.17/5.58 ) ), Y ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1128, [ =( product( Y, quotient( eta( X ), Y ) ), eta( quotient( X
% 5.17/5.58 , Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1145, [ =( quotient( eta( quotient( Y, X ) ), X ), difference( X,
% 5.17/5.58 eta( t( X, Y ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1149, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1174, [ =( eta( product( difference( Y, X ), X ) ), eta( Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1186, [ =( difference( Y, eta( difference( X, Y ) ) ), quotient(
% 5.17/5.58 eta( X ), Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1376, [ =( difference( X, eta( t( X, Y ) ) ), difference( X, eta( Y
% 5.17/5.58 ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1379, [ =( eta( difference( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1523, [ =( eta( t( X, Y ) ), eta( Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1551, [ =( eta( product( X, Y ) ), eta( product( Y, X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1577, [ =( eta( product( Y, product( Z, X ) ) ), eta( product(
% 5.17/5.58 product( X, Y ), Z ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1584, [ =( difference( i( product( X, Y ) ), eta( product( Y, X ) )
% 5.17/5.58 ), product( X, Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 1698, [ =( product( X, product( eta( Y ), Z ) ), product( product(
% 5.17/5.58 X, eta( Y ) ), Z ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 2179, [ =( product( Y, quotient( eta( X ), Y ) ), eta( product( Y,
% 5.17/5.58 X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 2218, [ =( eta( product( Z, quotient( X, Y ) ) ), eta( product(
% 5.17/5.58 product( X, Z ), Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 2320, [ =( difference( quotient( eta( X ), Y ), X ), quotient( Y, j(
% 5.17/5.58 X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 2499, [ =( product( difference( i( X ), quotient( X, Y ) ), product(
% 5.17/5.58 Y, j( X ) ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 2938, [ =( difference( product( Y, eta( X ) ), eta( product( X, Y )
% 5.17/5.58 ) ), j( Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 7594, [ =( difference( quotient( X, Y ), eta( Z ) ), product( Y,
% 5.17/5.58 difference( X, eta( Z ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 7791, [ =( difference( Z, product( Y, eta( X ) ) ), product(
% 5.17/5.58 difference( Z, Y ), eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 7792, [ =( difference( product( quotient( eta( X ), Y ), Z ), eta(
% 5.17/5.58 X ) ), difference( Z, Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 7793, [ =( difference( Z, difference( Y, eta( X ) ) ), difference(
% 5.17/5.58 product( Y, Z ), eta( X ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 8324, [ =( i( product( t( Y, X ), product( Y, Z ) ) ), i( product(
% 5.17/5.58 Y, product( X, Z ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 8509, [ =( product( product( Z, eta( X ) ), j( Y ) ), product( Z,
% 5.17/5.58 quotient( eta( X ), Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 9674, [ =( product( X, difference( product( Y, X ), eta( Z ) ) ),
% 5.17/5.58 difference( Y, eta( Z ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 9678, [ =( product( difference( X, Y ), difference( Y, eta( Z ) ) )
% 5.17/5.58 , difference( X, eta( Z ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 9680, [ =( product( difference( Z, X ), quotient( eta( Y ), X ) ),
% 5.17/5.58 difference( Z, eta( product( Y, X ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 12887, [ =( difference( quotient( Z, X ), quotient( Y, X ) ), t( X
% 5.17/5.58 , difference( Z, Y ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 12895, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z ) )
% 5.17/5.58 ), quotient( X, Y ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 12908, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.17/5.58 quotient( X, Y ), Z ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 12915, [ =( j( product( t( Y, Z ), product( Y, X ) ) ), j( product(
% 5.17/5.58 Y, product( Z, X ) ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 12919, [ =( quotient( quotient( product( X, Y ), Z ), Y ), quotient(
% 5.17/5.58 X, t( Y, Z ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 12934, [ =( difference( quotient( X, t( Y, Z ) ), quotient( product(
% 5.17/5.58 X, Y ), Z ) ), Y ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 13185, [ =( quotient( product( t( Y, Z ), X ), product( Z,
% 5.17/5.58 difference( Y, X ) ) ), Y ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 13209, [ =( quotient( product( t( X, Z ), product( X, Y ) ),
% 5.17/5.58 product( Z, Y ) ), X ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 13225, [ =( product( t( X, Y ), product( X, Z ) ), product( X,
% 5.17/5.58 product( Y, Z ) ) ) ] )
% 5.17/5.58 .
% 5.17/5.58 clause( 13232, [] )
% 5.17/5.58 .
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 % SZS output end Refutation
% 5.17/5.58 found a proof!
% 5.17/5.58
% 5.17/5.58 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.17/5.58
% 5.17/5.58 initialclauses(
% 5.17/5.58 [ clause( 13234, [ =( product( X, one ), X ) ] )
% 5.17/5.58 , clause( 13235, [ =( product( one, X ), X ) ] )
% 5.17/5.58 , clause( 13236, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.17/5.58 , clause( 13237, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.17/5.58 , clause( 13238, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.17/5.58 , clause( 13239, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.17/5.58 , clause( 13240, [ =( difference( X, product( product( X, Y ), Z ) ),
% 5.17/5.58 quotient( product( Y, product( Z, X ) ), X ) ) ] )
% 5.17/5.58 , clause( 13241, [ =( difference( product( X, Y ), product( X, product( Y,
% 5.17/5.58 Z ) ) ), quotient( quotient( product( Z, product( X, Y ) ), Y ), X ) ) ]
% 5.17/5.58 )
% 5.17/5.58 , clause( 13242, [ =( i( X ), difference( X, one ) ) ] )
% 5.17/5.58 , clause( 13243, [ =( j( X ), quotient( one, X ) ) ] )
% 5.17/5.58 , clause( 13244, [ =( product( i( X ), X ), product( X, j( X ) ) ) ] )
% 5.17/5.58 , clause( 13245, [ =( eta( X ), product( i( X ), X ) ) ] )
% 5.17/5.58 , clause( 13246, [ =( product( i( i( X ) ), Y ), product( eta( X ), product(
% 5.17/5.58 X, Y ) ) ) ] )
% 5.17/5.58 , clause( 13247, [ =( product( X, product( eta( X ), Y ) ), product( j( j(
% 5.17/5.58 X ) ), Y ) ) ] )
% 5.17/5.58 , clause( 13248, [ =( product( X, product( Y, eta( X ) ) ), product(
% 5.17/5.58 product( X, Y ), eta( X ) ) ) ] )
% 5.17/5.58 , clause( 13249, [ =( product( eta( X ), product( Y, Z ) ), product(
% 5.17/5.58 product( eta( X ), Y ), Z ) ) ] )
% 5.17/5.58 , clause( 13250, [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) ) ]
% 5.17/5.58 )
% 5.17/5.58 , clause( 13251, [ =( product( product( product( quotient( j( X ), X ),
% 5.17/5.58 product( X, X ) ), Y ), Z ), product( product( quotient( j( X ), X ),
% 5.17/5.58 product( X, X ) ), product( Y, Z ) ) ) ] )
% 5.17/5.58 , clause( 13252, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.17/5.58 , clause( 13253, [ =( t( eta( X ), product( Y, Z ) ), product( t( eta( X )
% 5.17/5.58 , Y ), t( eta( X ), Z ) ) ) ] )
% 5.17/5.58 , clause( 13254, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y )
% 5.17/5.58 ) ] )
% 5.17/5.58 , clause( 13255, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y )
% 5.17/5.58 ) ] )
% 5.17/5.58 , clause( 13256, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.17/5.58 , clause( 13257, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.17/5.58 , clause( 13258, [ ~( =( product( x0, product( x1, x2 ) ), product(
% 5.17/5.58 quotient( product( x0, x1 ), x0 ), product( x0, x2 ) ) ) ) ] )
% 5.17/5.58 ] ).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 subsumption(
% 5.17/5.58 clause( 0, [ =( product( X, one ), X ) ] )
% 5.17/5.58 , clause( 13234, [ =( product( X, one ), X ) ] )
% 5.17/5.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 subsumption(
% 5.17/5.58 clause( 1, [ =( product( one, X ), X ) ] )
% 5.17/5.58 , clause( 13235, [ =( product( one, X ), X ) ] )
% 5.17/5.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 subsumption(
% 5.17/5.58 clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.17/5.58 , clause( 13236, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.17/5.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.17/5.58 )] ) ).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 subsumption(
% 5.17/5.58 clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.17/5.58 , clause( 13237, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.17/5.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.17/5.58 )] ) ).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 subsumption(
% 5.17/5.58 clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.17/5.58 , clause( 13238, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.17/5.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.17/5.58 )] ) ).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 subsumption(
% 5.17/5.58 clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.17/5.58 , clause( 13239, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.17/5.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.17/5.58 )] ) ).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 eqswap(
% 5.17/5.58 clause( 13286, [ =( quotient( product( Y, product( Z, X ) ), X ),
% 5.17/5.58 difference( X, product( product( X, Y ), Z ) ) ) ] )
% 5.17/5.58 , clause( 13240, [ =( difference( X, product( product( X, Y ), Z ) ),
% 5.17/5.58 quotient( product( Y, product( Z, X ) ), X ) ) ] )
% 5.17/5.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 subsumption(
% 5.17/5.58 clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference( X
% 5.17/5.58 , product( product( X, Y ), Z ) ) ) ] )
% 5.17/5.58 , clause( 13286, [ =( quotient( product( Y, product( Z, X ) ), X ),
% 5.17/5.58 difference( X, product( product( X, Y ), Z ) ) ) ] )
% 5.17/5.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.17/5.58 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 paramod(
% 5.17/5.58 clause( 13305, [ =( difference( product( X, Y ), product( X, product( Y, Z
% 5.17/5.58 ) ) ), quotient( difference( Y, product( product( Y, Z ), X ) ), X ) ) ]
% 5.17/5.58 )
% 5.17/5.58 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.17/5.58 X, product( product( X, Y ), Z ) ) ) ] )
% 5.17/5.58 , 0, clause( 13241, [ =( difference( product( X, Y ), product( X, product(
% 5.17/5.58 Y, Z ) ) ), quotient( quotient( product( Z, product( X, Y ) ), Y ), X ) )
% 5.17/5.58 ] )
% 5.17/5.58 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.17/5.58 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 eqswap(
% 5.17/5.58 clause( 13306, [ =( quotient( difference( Y, product( product( Y, Z ), X )
% 5.17/5.58 ), X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 5.17/5.58 )
% 5.17/5.58 , clause( 13305, [ =( difference( product( X, Y ), product( X, product( Y,
% 5.17/5.59 Z ) ) ), quotient( difference( Y, product( product( Y, Z ), X ) ), X ) )
% 5.17/5.59 ] )
% 5.17/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.17/5.59
% 5.17/5.59
% 5.17/5.59 subsumption(
% 5.17/5.59 clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) ), X
% 5.17/5.59 ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ] )
% 5.17/5.59 , clause( 13306, [ =( quotient( difference( Y, product( product( Y, Z ), X
% 5.17/5.59 ) ), X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) )
% 5.17/5.59 ] )
% 5.17/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.17/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.17/5.59
% 5.17/5.59
% 5.17/5.59 eqswap(
% 5.17/5.59 clause( 13315, [ =( difference( X, one ), i( X ) ) ] )
% 5.17/5.59 , clause( 13242, [ =( i( X ), difference( X, one ) ) ] )
% 5.17/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.17/5.59
% 5.17/5.59
% 5.17/5.59 subsumption(
% 5.17/5.59 clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.17/5.59 , clause( 13315, [ =( difference( X, one ), i( X ) ) ] )
% 5.17/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.17/5.59
% 5.17/5.59
% 5.17/5.59 eqswap(
% 5.17/5.59 clause( 13325, [ =( quotient( one, X ), j( X ) ) ] )
% 5.17/5.59 , clause( 13243, [ =( j( X ), quotient( one, X ) ) ] )
% 5.17/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.17/5.59
% 5.17/5.59
% 5.17/5.59 subsumption(
% 5.17/5.59 clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.17/5.59 , clause( 13325, [ =( quotient( one, X ), j( X ) ) ] )
% 5.17/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.17/5.59
% 5.17/5.59
% 5.17/5.59 eqswap(
% 5.17/5.59 clause( 13336, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.17/5.59 , clause( 13244, [ =( product( i( X ), X ), product( X, j( X ) ) ) ] )
% 5.17/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.17/5.59
% 5.17/5.59
% 5.17/5.59 subsumption(
% 5.17/5.59 clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.17/5.59 , clause( 13336, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.17/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.17/5.59
% 5.17/5.59
% 5.17/5.59 eqswap(
% 5.17/5.59 clause( 13348, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.17/5.59 , clause( 13245, [ =( eta( X ), product( i( X ), X ) ) ] )
% 5.17/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.17/5.59
% 5.17/5.59
% 5.17/5.59 subsumption(
% 5.17/5.59 clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.17/5.59 , clause( 13348, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.17/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X ) )
% 5.23/5.59 , Y ) ) ] )
% 5.23/5.59 , clause( 13247, [ =( product( X, product( eta( X ), Y ) ), product( j( j(
% 5.23/5.59 X ) ), Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 14, [ =( product( X, product( Y, eta( X ) ) ), product( product( X
% 5.23/5.59 , Y ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 13248, [ =( product( X, product( Y, eta( X ) ) ), product(
% 5.23/5.59 product( X, Y ), eta( X ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.23/5.59 eta( X ), Y ), Z ) ) ] )
% 5.23/5.59 , clause( 13249, [ =( product( eta( X ), product( Y, Z ) ), product(
% 5.23/5.59 product( eta( X ), Y ), Z ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13412, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.23/5.59 , clause( 13252, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.23/5.59 , clause( 13412, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 20, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 13254, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y )
% 5.23/5.59 ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.23/5.59 , clause( 13256, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.23/5.59 , clause( 13257, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13533, [ ~( =( product( x0, product( x1, x2 ) ), product( t( x0, x1
% 5.23/5.59 ), product( x0, x2 ) ) ) ) ] )
% 5.23/5.59 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.23/5.59 , 0, clause( 13258, [ ~( =( product( x0, product( x1, x2 ) ), product(
% 5.23/5.59 quotient( product( x0, x1 ), x0 ), product( x0, x2 ) ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, x0 ), :=( Y, x1 )] ), substitution( 1, [] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13534, [ ~( =( product( t( x0, x1 ), product( x0, x2 ) ), product(
% 5.23/5.59 x0, product( x1, x2 ) ) ) ) ] )
% 5.23/5.59 , clause( 13533, [ ~( =( product( x0, product( x1, x2 ) ), product( t( x0,
% 5.23/5.59 x1 ), product( x0, x2 ) ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 24, [ ~( =( product( t( x0, x1 ), product( x0, x2 ) ), product( x0
% 5.23/5.59 , product( x1, x2 ) ) ) ) ] )
% 5.23/5.59 , clause( 13534, [ ~( =( product( t( x0, x1 ), product( x0, x2 ) ), product(
% 5.23/5.59 x0, product( x1, x2 ) ) ) ) ] )
% 5.23/5.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13536, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13537, [ =( one, product( j( X ), X ) ) ] )
% 5.23/5.59 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.23/5.59 , 0, clause( 13536, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 5.23/5.59 :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13538, [ =( product( j( X ), X ), one ) ] )
% 5.23/5.59 , clause( 13537, [ =( one, product( j( X ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.23/5.59 , clause( 13538, [ =( product( j( X ), X ), one ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13540, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13541, [ =( one, product( X, i( X ) ) ) ] )
% 5.23/5.59 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13540, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, one )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13542, [ =( product( X, i( X ) ), one ) ] )
% 5.23/5.59 , clause( 13541, [ =( one, product( X, i( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.23/5.59 , clause( 13542, [ =( product( X, i( X ) ), one ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13543, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13545, [ =( X, difference( one, X ) ) ] )
% 5.23/5.59 , clause( 1, [ =( product( one, X ), X ) ] )
% 5.23/5.59 , 0, clause( 13543, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, difference( one, X ) )] ), substitution(
% 5.23/5.59 1, [ :=( X, one ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13546, [ =( difference( one, X ), X ) ] )
% 5.23/5.59 , clause( 13545, [ =( X, difference( one, X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 28, [ =( difference( one, X ), X ) ] )
% 5.23/5.59 , clause( 13546, [ =( difference( one, X ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13548, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13549, [ =( X, difference( quotient( Y, X ), Y ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, clause( 13548, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, quotient( Y, X ) ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13550, [ =( difference( quotient( Y, X ), Y ), X ) ] )
% 5.23/5.59 , clause( 13549, [ =( X, difference( quotient( Y, X ), Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.23/5.59 , clause( 13550, [ =( difference( quotient( Y, X ), Y ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13552, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13554, [ =( X, difference( j( X ), one ) ) ] )
% 5.23/5.59 , clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.23/5.59 , 0, clause( 13552, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 5.23/5.59 ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13555, [ =( X, i( j( X ) ) ) ] )
% 5.23/5.59 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13554, [ =( X, difference( j( X ), one ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, j( X ) )] ), substitution( 1, [ :=( X, X
% 5.23/5.59 )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13556, [ =( i( j( X ) ), X ) ] )
% 5.23/5.59 , clause( 13555, [ =( X, i( j( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.59 , clause( 13556, [ =( i( j( X ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13558, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13560, [ =( X, quotient( one, i( X ) ) ) ] )
% 5.23/5.59 , clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.23/5.59 , 0, clause( 13558, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, i( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13561, [ =( X, j( i( X ) ) ) ] )
% 5.23/5.59 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.23/5.59 , 0, clause( 13560, [ =( X, quotient( one, i( X ) ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, i( X ) )] ), substitution( 1, [ :=( X, X
% 5.23/5.59 )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13562, [ =( j( i( X ) ), X ) ] )
% 5.23/5.59 , clause( 13561, [ =( X, j( i( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 34, [ =( j( i( X ) ), X ) ] )
% 5.23/5.59 , clause( 13562, [ =( j( i( X ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13564, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13565, [ =( X, quotient( Y, difference( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, clause( 13564, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13566, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.23/5.59 , clause( 13565, [ =( X, quotient( Y, difference( X, Y ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.23/5.59 , clause( 13566, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13568, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13569, [ =( one, quotient( X, X ) ) ] )
% 5.23/5.59 , clause( 1, [ =( product( one, X ), X ) ] )
% 5.23/5.59 , 0, clause( 13568, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 5.23/5.59 :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13570, [ =( quotient( X, X ), one ) ] )
% 5.23/5.59 , clause( 13569, [ =( one, quotient( X, X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 36, [ =( quotient( X, X ), one ) ] )
% 5.23/5.59 , clause( 13570, [ =( quotient( X, X ), one ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13572, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 5.23/5.59 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13573, [ =( X, difference( difference( X, product( product( X, Y )
% 5.23/5.59 , Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 5.23/5.59 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.23/5.59 X, product( product( X, Y ), Z ) ) ) ] )
% 5.23/5.59 , 0, clause( 13572, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.59 substitution( 1, [ :=( X, product( Y, product( Z, X ) ) ), :=( Y, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13574, [ =( difference( difference( X, product( product( X, Y ), Z
% 5.23/5.59 ) ), product( Y, product( Z, X ) ) ), X ) ] )
% 5.23/5.59 , clause( 13573, [ =( X, difference( difference( X, product( product( X, Y
% 5.23/5.59 ), Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 37, [ =( difference( difference( Z, product( product( Z, X ), Y ) )
% 5.23/5.59 , product( X, product( Y, Z ) ) ), Z ) ] )
% 5.23/5.59 , clause( 13574, [ =( difference( difference( X, product( product( X, Y ),
% 5.23/5.59 Z ) ), product( Y, product( Z, X ) ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13576, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.23/5.59 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.23/5.59 X, product( product( X, Y ), Z ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13580, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.23/5.59 quotient( product( Y, one ), X ) ) ] )
% 5.23/5.59 , clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.23/5.59 , 0, clause( 13576, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.23/5.59 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 5.23/5.59 :=( Y, j( X ) ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13581, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.23/5.59 quotient( Y, X ) ) ] )
% 5.23/5.59 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.23/5.59 , 0, clause( 13580, [ =( difference( X, product( product( X, Y ), j( X ) )
% 5.23/5.59 ), quotient( product( Y, one ), X ) ) ] )
% 5.23/5.59 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 39, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.23/5.59 quotient( Y, X ) ) ] )
% 5.23/5.59 , clause( 13581, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.23/5.59 quotient( Y, X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13584, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13591, [ =( product( X, product( Y, Z ) ), product( difference( Z,
% 5.23/5.59 product( product( Z, X ), Y ) ), Z ) ) ] )
% 5.23/5.59 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.23/5.59 X, product( product( X, Y ), Z ) ) ) ] )
% 5.23/5.59 , 0, clause( 13584, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.59 substitution( 1, [ :=( X, product( X, product( Y, Z ) ) ), :=( Y, Z )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13592, [ =( product( difference( Z, product( product( Z, X ), Y ) )
% 5.23/5.59 , Z ), product( X, product( Y, Z ) ) ) ] )
% 5.23/5.59 , clause( 13591, [ =( product( X, product( Y, Z ) ), product( difference( Z
% 5.23/5.59 , product( product( Z, X ), Y ) ), Z ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 42, [ =( product( difference( Z, product( product( Z, X ), Y ) ), Z
% 5.23/5.59 ), product( X, product( Y, Z ) ) ) ] )
% 5.23/5.59 , clause( 13592, [ =( product( difference( Z, product( product( Z, X ), Y )
% 5.23/5.59 ), Z ), product( X, product( Y, Z ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13594, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.23/5.59 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.23/5.59 X, product( product( X, Y ), Z ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13599, [ =( difference( X, product( product( X, Y ), quotient( Z, X
% 5.23/5.59 ) ) ), quotient( product( Y, Z ), X ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, clause( 13594, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.23/5.59 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, Y ), :=( Y, quotient( Z, X ) ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 44, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y )
% 5.23/5.59 ) ), quotient( product( Z, X ), Y ) ) ] )
% 5.23/5.59 , clause( 13599, [ =( difference( X, product( product( X, Y ), quotient( Z
% 5.23/5.59 , X ) ) ), quotient( product( Y, Z ), X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13604, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.23/5.59 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.23/5.59 X, product( product( X, Y ), Z ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13608, [ =( difference( X, product( product( X, i( product( Y, X )
% 5.23/5.59 ) ), Y ) ), quotient( eta( product( Y, X ) ), X ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13604, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.23/5.59 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , 0, 12, substitution( 0, [ :=( X, product( Y, X ) )] ), substitution( 1, [
% 5.23/5.59 :=( X, i( product( Y, X ) ) ), :=( Y, Y ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13610, [ =( difference( X, product( i( Y ), Y ) ), quotient( eta(
% 5.23/5.59 product( Y, X ) ), X ) ) ] )
% 5.23/5.59 , clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.23/5.59 , 0, clause( 13608, [ =( difference( X, product( product( X, i( product( Y
% 5.23/5.59 , X ) ) ), Y ) ), quotient( eta( product( Y, X ) ), X ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13611, [ =( difference( X, eta( Y ) ), quotient( eta( product( Y, X
% 5.23/5.59 ) ), X ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13610, [ =( difference( X, product( i( Y ), Y ) ), quotient(
% 5.23/5.59 eta( product( Y, X ) ), X ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13612, [ =( quotient( eta( product( Y, X ) ), X ), difference( X,
% 5.23/5.59 eta( Y ) ) ) ] )
% 5.23/5.59 , clause( 13611, [ =( difference( X, eta( Y ) ), quotient( eta( product( Y
% 5.23/5.59 , X ) ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 45, [ =( quotient( eta( product( X, Y ) ), Y ), difference( Y, eta(
% 5.23/5.59 X ) ) ) ] )
% 5.23/5.59 , clause( 13612, [ =( quotient( eta( product( Y, X ) ), X ), difference( X
% 5.23/5.59 , eta( Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13614, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13615, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13614, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 5.23/5.59 ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13616, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.23/5.59 , clause( 13615, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 47, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.23/5.59 , clause( 13616, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13618, [ =( eta( X ), product( i( X ), X ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13621, [ =( eta( j( X ) ), product( X, j( X ) ) ) ] )
% 5.23/5.59 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13618, [ =( eta( X ), product( i( X ), X ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 5.23/5.59 )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13622, [ =( eta( j( X ) ), product( i( X ), X ) ) ] )
% 5.23/5.59 , clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.23/5.59 , 0, clause( 13621, [ =( eta( j( X ) ), product( X, j( X ) ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13623, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13622, [ =( eta( j( X ) ), product( i( X ), X ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 13623, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13626, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13627, [ =( X, difference( i( X ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13626, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 5.23/5.59 ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13628, [ =( difference( i( X ), eta( X ) ), X ) ] )
% 5.23/5.59 , clause( 13627, [ =( X, difference( i( X ), eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 49, [ =( difference( i( X ), eta( X ) ), X ) ] )
% 5.23/5.59 , clause( 13628, [ =( difference( i( X ), eta( X ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13630, [ =( eta( X ), eta( j( X ) ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13631, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 34, [ =( j( i( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13630, [ =( eta( X ), eta( j( X ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 5.23/5.59 )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 51, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 13631, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13634, [ =( difference( product( Z, X ), product( Z, product( X, Y
% 5.23/5.59 ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) )
% 5.23/5.59 , X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13639, [ =( difference( product( X, Y ), product( X, product( Y, i(
% 5.23/5.59 Y ) ) ) ), quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 5.23/5.59 , clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.23/5.59 , 0, clause( 13634, [ =( difference( product( Z, X ), product( Z, product(
% 5.23/5.59 X, Y ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, 15, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 5.23/5.59 :=( Y, i( Y ) ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13641, [ =( difference( product( X, Y ), product( X, one ) ),
% 5.23/5.59 quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 5.23/5.59 , clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.23/5.59 , 0, clause( 13639, [ =( difference( product( X, Y ), product( X, product(
% 5.23/5.59 Y, i( Y ) ) ) ), quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13643, [ =( difference( product( X, Y ), product( X, one ) ),
% 5.23/5.59 quotient( difference( Y, X ), X ) ) ] )
% 5.23/5.59 , clause( 1, [ =( product( one, X ), X ) ] )
% 5.23/5.59 , 0, clause( 13641, [ =( difference( product( X, Y ), product( X, one ) ),
% 5.23/5.59 quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 5.23/5.59 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13644, [ =( difference( product( X, Y ), X ), quotient( difference(
% 5.23/5.59 Y, X ), X ) ) ] )
% 5.23/5.59 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.23/5.59 , 0, clause( 13643, [ =( difference( product( X, Y ), product( X, one ) ),
% 5.23/5.59 quotient( difference( Y, X ), X ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13645, [ =( quotient( difference( Y, X ), X ), difference( product(
% 5.23/5.59 X, Y ), X ) ) ] )
% 5.23/5.59 , clause( 13644, [ =( difference( product( X, Y ), X ), quotient(
% 5.23/5.59 difference( Y, X ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 53, [ =( quotient( difference( X, Y ), Y ), difference( product( Y
% 5.23/5.59 , X ), Y ) ) ] )
% 5.23/5.59 , clause( 13645, [ =( quotient( difference( Y, X ), X ), difference(
% 5.23/5.59 product( X, Y ), X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13647, [ =( difference( product( Z, X ), product( Z, product( X, Y
% 5.23/5.59 ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) )
% 5.23/5.59 , X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13650, [ =( difference( product( X, Y ), product( X, product( Y,
% 5.23/5.59 difference( Y, Z ) ) ) ), quotient( difference( Y, product( Z, X ) ), X )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, clause( 13647, [ =( difference( product( Z, X ), product( Z, product(
% 5.23/5.59 X, Y ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 5.23/5.59 :=( X, Y ), :=( Y, difference( Y, Z ) ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13652, [ =( difference( product( X, Y ), product( X, Z ) ),
% 5.23/5.59 quotient( difference( Y, product( Z, X ) ), X ) ) ] )
% 5.23/5.59 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, clause( 13650, [ =( difference( product( X, Y ), product( X, product(
% 5.23/5.59 Y, difference( Y, Z ) ) ) ), quotient( difference( Y, product( Z, X ) ),
% 5.23/5.59 X ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13655, [ =( quotient( difference( Y, product( Z, X ) ), X ),
% 5.23/5.59 difference( product( X, Y ), product( X, Z ) ) ) ] )
% 5.23/5.59 , clause( 13652, [ =( difference( product( X, Y ), product( X, Z ) ),
% 5.23/5.59 quotient( difference( Y, product( Z, X ) ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 54, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 5.23/5.59 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 5.23/5.59 , clause( 13655, [ =( quotient( difference( Y, product( Z, X ) ), X ),
% 5.23/5.59 difference( product( X, Y ), product( X, Z ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13659, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 5.23/5.59 , clause( 47, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13661, [ =( i( j( X ) ), quotient( eta( X ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13659, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 5.23/5.59 )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13662, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13661, [ =( i( j( X ) ), quotient( eta( X ), j( X ) ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13663, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.23/5.59 , clause( 13662, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 56, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.23/5.59 , clause( 13663, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13666, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 61, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 13666, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13669, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.23/5.59 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13670, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.23/5.59 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, clause( 13669, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 71, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.23/5.59 , clause( 13670, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13673, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13676, [ =( product( X, Y ), product( t( X, Y ), X ) ) ] )
% 5.23/5.59 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.23/5.59 , 0, clause( 13673, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, product( X, Y ) ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13677, [ =( product( t( X, Y ), X ), product( X, Y ) ) ] )
% 5.23/5.59 , clause( 13676, [ =( product( X, Y ), product( t( X, Y ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 72, [ =( product( t( X, Y ), X ), product( X, Y ) ) ] )
% 5.23/5.59 , clause( 13677, [ =( product( t( X, Y ), X ), product( X, Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13679, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.23/5.59 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13682, [ =( t( quotient( X, Y ), Y ), quotient( X, quotient( X, Y )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, clause( 13679, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, quotient( X, Y ) ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13683, [ =( quotient( X, quotient( X, Y ) ), t( quotient( X, Y ), Y
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , clause( 13682, [ =( t( quotient( X, Y ), Y ), quotient( X, quotient( X, Y
% 5.23/5.59 ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 73, [ =( quotient( X, quotient( X, Y ) ), t( quotient( X, Y ), Y )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 13683, [ =( quotient( X, quotient( X, Y ) ), t( quotient( X, Y )
% 5.23/5.59 , Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13685, [ =( product( j( j( X ) ), Y ), product( X, product( eta( X
% 5.23/5.59 ), Y ) ) ) ] )
% 5.23/5.59 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 5.23/5.59 ), Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13688, [ =( product( j( j( X ) ), one ), product( X, eta( X ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.23/5.59 , 0, clause( 13685, [ =( product( j( j( X ) ), Y ), product( X, product(
% 5.23/5.59 eta( X ), Y ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 5.23/5.59 X ), :=( Y, one )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13690, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 5.23/5.59 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.23/5.59 , 0, clause( 13688, [ =( product( j( j( X ) ), one ), product( X, eta( X )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, j( j( X ) ) )] ), substitution( 1, [ :=(
% 5.23/5.59 X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13691, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.23/5.59 , clause( 13690, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 87, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.23/5.59 , clause( 13691, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13693, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 5.23/5.59 , clause( 87, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13695, [ =( j( j( i( X ) ) ), product( i( X ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 51, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13693, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 5.23/5.59 )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13696, [ =( j( X ), product( i( X ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 34, [ =( j( i( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13695, [ =( j( j( i( X ) ) ), product( i( X ), eta( X ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13697, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 5.23/5.59 , clause( 13696, [ =( j( X ), product( i( X ), eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 91, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 5.23/5.59 , clause( 13697, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13699, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13700, [ =( X, quotient( j( j( X ) ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 87, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.23/5.59 , 0, clause( 13699, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, eta( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13701, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.23/5.59 , clause( 13700, [ =( X, quotient( j( j( X ) ), eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 93, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.23/5.59 , clause( 13701, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13703, [ =( j( X ), product( i( X ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 91, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13705, [ =( j( i( X ) ), product( i( i( X ) ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 51, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13703, [ =( j( X ), product( i( X ), eta( X ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 5.23/5.59 )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13706, [ =( X, product( i( i( X ) ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 34, [ =( j( i( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13705, [ =( j( i( X ) ), product( i( i( X ) ), eta( X ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13707, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 5.23/5.59 , clause( 13706, [ =( X, product( i( i( X ) ), eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 96, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 5.23/5.59 , clause( 13707, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13709, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.23/5.59 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13710, [ =( t( X, product( Y, eta( X ) ) ), quotient( product(
% 5.23/5.59 product( X, Y ), eta( X ) ), X ) ) ] )
% 5.23/5.59 , clause( 14, [ =( product( X, product( Y, eta( X ) ) ), product( product(
% 5.23/5.59 X, Y ), eta( X ) ) ) ] )
% 5.23/5.59 , 0, clause( 13709, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, product( Y, eta( X ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13711, [ =( quotient( product( product( X, Y ), eta( X ) ), X ), t(
% 5.23/5.59 X, product( Y, eta( X ) ) ) ) ] )
% 5.23/5.59 , clause( 13710, [ =( t( X, product( Y, eta( X ) ) ), quotient( product(
% 5.23/5.59 product( X, Y ), eta( X ) ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 104, [ =( quotient( product( product( X, Y ), eta( X ) ), X ), t( X
% 5.23/5.59 , product( Y, eta( X ) ) ) ) ] )
% 5.23/5.59 , clause( 13711, [ =( quotient( product( product( X, Y ), eta( X ) ), X ),
% 5.23/5.59 t( X, product( Y, eta( X ) ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13713, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.23/5.59 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.23/5.59 X, product( product( X, Y ), Z ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13716, [ =( difference( X, product( product( X, eta( Y ) ), Z ) ),
% 5.23/5.59 quotient( product( product( eta( Y ), Z ), X ), X ) ) ] )
% 5.23/5.59 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.23/5.59 eta( X ), Y ), Z ) ) ] )
% 5.23/5.59 , 0, clause( 13713, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.23/5.59 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.59 substitution( 1, [ :=( X, eta( Y ) ), :=( Y, Z ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13718, [ =( difference( X, product( product( X, eta( Y ) ), Z ) ),
% 5.23/5.59 product( eta( Y ), Z ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, clause( 13716, [ =( difference( X, product( product( X, eta( Y ) ), Z
% 5.23/5.59 ) ), quotient( product( product( eta( Y ), Z ), X ), X ) ) ] )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, product( eta( Y ), Z ) ), :=( Y, X )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 127, [ =( difference( Z, product( product( Z, eta( X ) ), Y ) ),
% 5.23/5.59 product( eta( X ), Y ) ) ] )
% 5.23/5.59 , clause( 13718, [ =( difference( X, product( product( X, eta( Y ) ), Z ) )
% 5.23/5.59 , product( eta( Y ), Z ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13721, [ =( product( product( eta( X ), Y ), Z ), product( eta( X )
% 5.23/5.59 , product( Y, Z ) ) ) ] )
% 5.23/5.59 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.23/5.59 eta( X ), Y ), Z ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13723, [ =( product( product( eta( X ), j( Y ) ), Y ), product( eta(
% 5.23/5.59 X ), one ) ) ] )
% 5.23/5.59 , clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.23/5.59 , 0, clause( 13721, [ =( product( product( eta( X ), Y ), Z ), product( eta(
% 5.23/5.59 X ), product( Y, Z ) ) ) ] )
% 5.23/5.59 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, j( Y ) ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13724, [ =( product( product( eta( X ), j( Y ) ), Y ), eta( X ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.23/5.59 , 0, clause( 13723, [ =( product( product( eta( X ), j( Y ) ), Y ), product(
% 5.23/5.59 eta( X ), one ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 5.23/5.59 X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 130, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 13724, [ =( product( product( eta( X ), j( Y ) ), Y ), eta( X ) )
% 5.23/5.59 ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13727, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13728, [ =( product( X, Y ), difference( eta( Z ), product( product(
% 5.23/5.59 eta( Z ), X ), Y ) ) ) ] )
% 5.23/5.59 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.23/5.59 eta( X ), Y ), Z ) ) ] )
% 5.23/5.59 , 0, clause( 13727, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.59 substitution( 1, [ :=( X, eta( Z ) ), :=( Y, product( X, Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13729, [ =( difference( eta( Z ), product( product( eta( Z ), X ),
% 5.23/5.59 Y ) ), product( X, Y ) ) ] )
% 5.23/5.59 , clause( 13728, [ =( product( X, Y ), difference( eta( Z ), product(
% 5.23/5.59 product( eta( Z ), X ), Y ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 132, [ =( difference( eta( X ), product( product( eta( X ), Y ), Z
% 5.23/5.59 ) ), product( Y, Z ) ) ] )
% 5.23/5.59 , clause( 13729, [ =( difference( eta( Z ), product( product( eta( Z ), X )
% 5.23/5.59 , Y ) ), product( X, Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13731, [ =( j( Y ), product( j( product( X, Y ) ), X ) ) ] )
% 5.23/5.59 , clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13732, [ =( j( eta( X ) ), product( j( X ), i( i( X ) ) ) ) ] )
% 5.23/5.59 , clause( 96, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13731, [ =( j( Y ), product( j( product( X, Y ) ), X ) ) ] )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( i( X
% 5.23/5.59 ) ) ), :=( Y, eta( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13733, [ =( product( j( X ), i( i( X ) ) ), j( eta( X ) ) ) ] )
% 5.23/5.59 , clause( 13732, [ =( j( eta( X ) ), product( j( X ), i( i( X ) ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 159, [ =( product( j( X ), i( i( X ) ) ), j( eta( X ) ) ) ] )
% 5.23/5.59 , clause( 13733, [ =( product( j( X ), i( i( X ) ) ), j( eta( X ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13735, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13736, [ =( j( product( X, Y ) ), quotient( j( Y ), X ) ) ] )
% 5.23/5.59 , clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.23/5.59 , 0, clause( 13735, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, j( product( X, Y ) ) ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13737, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 13736, [ =( j( product( X, Y ) ), quotient( j( Y ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 13737, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13739, [ =( j( Y ), product( j( product( X, Y ) ), X ) ) ] )
% 5.23/5.59 , clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13740, [ =( j( difference( X, Y ) ), product( j( Y ), X ) ) ] )
% 5.23/5.59 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, clause( 13739, [ =( j( Y ), product( j( product( X, Y ) ), X ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13741, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 13740, [ =( j( difference( X, Y ) ), product( j( Y ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 13741, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13742, [ =( j( product( Y, X ) ), quotient( j( X ), Y ) ) ] )
% 5.23/5.59 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13744, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.59 , clause( 93, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13742, [ =( j( product( Y, X ) ), quotient( j( X ), Y ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 5.23/5.59 ), :=( Y, eta( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.59 , clause( 13744, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13747, [ =( eta( X ), product( X, j( X ) ) ) ] )
% 5.23/5.59 , clause( 61, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13749, [ =( eta( product( eta( X ), j( X ) ) ), product( product(
% 5.23/5.59 eta( X ), j( X ) ), X ) ) ] )
% 5.23/5.59 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13747, [ =( eta( X ), product( X, j( X ) ) ) ] )
% 5.23/5.59 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 5.23/5.59 product( eta( X ), j( X ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13750, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 130, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, clause( 13749, [ =( eta( product( eta( X ), j( X ) ) ), product(
% 5.23/5.59 product( eta( X ), j( X ) ), X ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 185, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 13750, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13753, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 56, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13756, [ =( product( eta( X ), j( X ) ), quotient( eta( product(
% 5.23/5.59 eta( X ), j( X ) ) ), X ) ) ] )
% 5.23/5.59 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13753, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 5.23/5.59 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 5.23/5.59 product( eta( X ), j( X ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13757, [ =( product( eta( X ), j( X ) ), quotient( eta( X ), X ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 185, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13756, [ =( product( eta( X ), j( X ) ), quotient( eta(
% 5.23/5.59 product( eta( X ), j( X ) ) ), X ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13758, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.59 , clause( 47, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13757, [ =( product( eta( X ), j( X ) ), quotient( eta( X ), X
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.59 , clause( 13758, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13761, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13762, [ =( eta( X ), quotient( i( X ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13761, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, eta( X
% 5.23/5.59 ) ), :=( Y, j( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13763, [ =( quotient( i( X ), j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 13762, [ =( eta( X ), quotient( i( X ), j( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 194, [ =( quotient( i( X ), j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 13763, [ =( quotient( i( X ), j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13765, [ =( eta( X ), quotient( i( X ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 194, [ =( quotient( i( X ), j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13767, [ =( eta( j( X ) ), quotient( X, j( j( X ) ) ) ) ] )
% 5.23/5.59 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13765, [ =( eta( X ), quotient( i( X ), j( X ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 5.23/5.59 )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13768, [ =( eta( X ), quotient( X, j( j( X ) ) ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13767, [ =( eta( j( X ) ), quotient( X, j( j( X ) ) ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13769, [ =( quotient( X, j( j( X ) ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 13768, [ =( eta( X ), quotient( X, j( j( X ) ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 215, [ =( quotient( X, j( j( X ) ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 13769, [ =( quotient( X, j( j( X ) ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13771, [ =( i( Y ), product( i( product( X, Y ) ), i( i( X ) ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 20, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13774, [ =( i( eta( X ) ), product( i( j( j( X ) ) ), i( i( X ) ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 87, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.23/5.59 , 0, clause( 13771, [ =( i( Y ), product( i( product( X, Y ) ), i( i( X ) )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, eta( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13775, [ =( i( eta( X ) ), product( j( X ), i( i( X ) ) ) ) ] )
% 5.23/5.59 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13774, [ =( i( eta( X ) ), product( i( j( j( X ) ) ), i( i( X
% 5.23/5.59 ) ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, j( X ) )] ), substitution( 1, [ :=( X, X
% 5.23/5.59 )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13776, [ =( i( eta( X ) ), j( eta( X ) ) ) ] )
% 5.23/5.59 , clause( 159, [ =( product( j( X ), i( i( X ) ) ), j( eta( X ) ) ) ] )
% 5.23/5.59 , 0, clause( 13775, [ =( i( eta( X ) ), product( j( X ), i( i( X ) ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13777, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 5.23/5.59 , clause( 13776, [ =( i( eta( X ) ), j( eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 232, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 5.23/5.59 , clause( 13777, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13779, [ =( eta( X ), quotient( X, j( j( X ) ) ) ) ] )
% 5.23/5.59 , clause( 215, [ =( quotient( X, j( j( X ) ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13782, [ =( eta( eta( X ) ), quotient( eta( X ), j( i( eta( X ) ) )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , clause( 232, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 5.23/5.59 , 0, clause( 13779, [ =( eta( X ), quotient( X, j( j( X ) ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, eta( X
% 5.23/5.59 ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13783, [ =( eta( eta( X ) ), quotient( eta( X ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 34, [ =( j( i( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13782, [ =( eta( eta( X ) ), quotient( eta( X ), j( i( eta( X
% 5.23/5.59 ) ) ) ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 5.23/5.59 X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13784, [ =( eta( eta( X ) ), one ) ] )
% 5.23/5.59 , clause( 36, [ =( quotient( X, X ), one ) ] )
% 5.23/5.59 , 0, clause( 13783, [ =( eta( eta( X ) ), quotient( eta( X ), eta( X ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 5.23/5.59 X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 242, [ =( eta( eta( X ) ), one ) ] )
% 5.23/5.59 , clause( 13784, [ =( eta( eta( X ) ), one ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13787, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13788, [ =( i( product( X, Y ) ), difference( Y, i( X ) ) ) ] )
% 5.23/5.59 , clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.23/5.59 , 0, clause( 13787, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, Y ), :=( Y, i( product( X, Y ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13789, [ =( difference( Y, i( X ) ), i( product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 13788, [ =( i( product( X, Y ) ), difference( Y, i( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 270, [ =( difference( X, i( Y ) ), i( product( Y, X ) ) ) ] )
% 5.23/5.59 , clause( 13789, [ =( difference( Y, i( X ) ), i( product( X, Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13791, [ =( i( Y ), product( X, i( product( Y, X ) ) ) ) ] )
% 5.23/5.59 , clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13792, [ =( i( quotient( X, Y ) ), product( Y, i( X ) ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, clause( 13791, [ =( i( Y ), product( X, i( product( Y, X ) ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, Y ), :=( Y, quotient( X, Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13793, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 13792, [ =( i( quotient( X, Y ) ), product( Y, i( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 13793, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13795, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13798, [ =( X, difference( j( Y ), j( difference( X, Y ) ) ) ) ] )
% 5.23/5.59 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.59 , 0, clause( 13795, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, j( Y ) ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13799, [ =( difference( j( Y ), j( difference( X, Y ) ) ), X ) ] )
% 5.23/5.59 , clause( 13798, [ =( X, difference( j( Y ), j( difference( X, Y ) ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.23/5.59 , clause( 13799, [ =( difference( j( Y ), j( difference( X, Y ) ) ), X ) ]
% 5.23/5.59 )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13801, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) ) ] )
% 5.23/5.59 , clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13802, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ] )
% 5.23/5.59 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.23/5.59 , 0, clause( 13801, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, quotient( X, Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13803, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.59 , clause( 13802, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.59 , clause( 13803, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13805, [ =( X, difference( difference( X, product( product( X, Y )
% 5.23/5.59 , Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 5.23/5.59 , clause( 37, [ =( difference( difference( Z, product( product( Z, X ), Y )
% 5.23/5.59 ), product( X, product( Y, Z ) ) ), Z ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13809, [ =( X, difference( difference( X, product( product( X, i(
% 5.23/5.59 product( Y, X ) ) ), Y ) ), eta( product( Y, X ) ) ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13805, [ =( X, difference( difference( X, product( product( X
% 5.23/5.59 , Y ), Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 5.23/5.59 , 0, 13, substitution( 0, [ :=( X, product( Y, X ) )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, i( product( Y, X ) ) ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13811, [ =( X, difference( difference( X, product( i( Y ), Y ) ),
% 5.23/5.59 eta( product( Y, X ) ) ) ) ] )
% 5.23/5.59 , clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.23/5.59 , 0, clause( 13809, [ =( X, difference( difference( X, product( product( X
% 5.23/5.59 , i( product( Y, X ) ) ), Y ) ), eta( product( Y, X ) ) ) ) ] )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13812, [ =( X, difference( difference( X, eta( Y ) ), eta( product(
% 5.23/5.59 Y, X ) ) ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13811, [ =( X, difference( difference( X, product( i( Y ), Y )
% 5.23/5.59 ), eta( product( Y, X ) ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13813, [ =( difference( difference( X, eta( Y ) ), eta( product( Y
% 5.23/5.59 , X ) ) ), X ) ] )
% 5.23/5.59 , clause( 13812, [ =( X, difference( difference( X, eta( Y ) ), eta(
% 5.23/5.59 product( Y, X ) ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 323, [ =( difference( difference( Y, eta( X ) ), eta( product( X, Y
% 5.23/5.59 ) ) ), Y ) ] )
% 5.23/5.59 , clause( 13813, [ =( difference( difference( X, eta( Y ) ), eta( product(
% 5.23/5.59 Y, X ) ) ), X ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13815, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ] )
% 5.23/5.59 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13817, [ =( quotient( product( eta( X ), j( X ) ), Y ), difference(
% 5.23/5.59 X, j( Y ) ) ) ] )
% 5.23/5.59 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13815, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, product(
% 5.23/5.59 eta( X ), j( X ) ) ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13821, [ =( quotient( i( X ), Y ), difference( X, j( Y ) ) ) ] )
% 5.23/5.59 , clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13817, [ =( quotient( product( eta( X ), j( X ) ), Y ),
% 5.23/5.59 difference( X, j( Y ) ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 331, [ =( quotient( i( X ), Y ), difference( X, j( Y ) ) ) ] )
% 5.23/5.59 , clause( 13821, [ =( quotient( i( X ), Y ), difference( X, j( Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13824, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ] )
% 5.23/5.59 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13827, [ =( quotient( X, product( eta( Y ), j( Y ) ) ), difference(
% 5.23/5.59 j( X ), Y ) ) ] )
% 5.23/5.59 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13824, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, product( eta( Y ), j( Y ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13828, [ =( quotient( X, i( Y ) ), difference( j( X ), Y ) ) ] )
% 5.23/5.59 , clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13827, [ =( quotient( X, product( eta( Y ), j( Y ) ) ),
% 5.23/5.59 difference( j( X ), Y ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.23/5.59 , clause( 13828, [ =( quotient( X, i( Y ) ), difference( j( X ), Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13831, [ =( difference( product( Z, X ), product( Z, product( X, Y
% 5.23/5.59 ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) )
% 5.23/5.59 , X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13836, [ =( difference( product( j( X ), X ), product( j( X ),
% 5.23/5.59 product( X, Y ) ) ), quotient( quotient( Y, X ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 39, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.23/5.59 quotient( Y, X ) ) ] )
% 5.23/5.59 , 0, clause( 13831, [ =( difference( product( Z, X ), product( Z, product(
% 5.23/5.59 X, Y ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, Y ), :=( Z, j( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13837, [ =( difference( one, product( j( X ), product( X, Y ) ) ),
% 5.23/5.59 quotient( quotient( Y, X ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.23/5.59 , 0, clause( 13836, [ =( difference( product( j( X ), X ), product( j( X )
% 5.23/5.59 , product( X, Y ) ) ), quotient( quotient( Y, X ), j( X ) ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13838, [ =( product( j( X ), product( X, Y ) ), quotient( quotient(
% 5.23/5.59 Y, X ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 28, [ =( difference( one, X ), X ) ] )
% 5.23/5.59 , 0, clause( 13837, [ =( difference( one, product( j( X ), product( X, Y )
% 5.23/5.59 ) ), quotient( quotient( Y, X ), j( X ) ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, product( j( X ), product( X, Y ) ) )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13839, [ =( j( difference( product( X, Y ), X ) ), quotient(
% 5.23/5.59 quotient( Y, X ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.59 , 0, clause( 13838, [ =( product( j( X ), product( X, Y ) ), quotient(
% 5.23/5.59 quotient( Y, X ), j( X ) ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, product( X, Y ) ), :=( Y, X )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13840, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.23/5.59 product( X, Y ), X ) ) ) ] )
% 5.23/5.59 , clause( 13839, [ =( j( difference( product( X, Y ), X ) ), quotient(
% 5.23/5.59 quotient( Y, X ), j( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 364, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.23/5.59 product( X, Y ), X ) ) ) ] )
% 5.23/5.59 , clause( 13840, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.23/5.59 product( X, Y ), X ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13842, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13847, [ =( product( product( X, Y ), quotient( Z, X ) ), product(
% 5.23/5.59 X, quotient( product( Y, Z ), X ) ) ) ] )
% 5.23/5.59 , clause( 44, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y
% 5.23/5.59 ) ) ), quotient( product( Z, X ), Y ) ) ] )
% 5.23/5.59 , 0, clause( 13842, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, product( product( X, Y ), quotient(
% 5.23/5.59 Z, X ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13848, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.23/5.59 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.23/5.59 , clause( 13847, [ =( product( product( X, Y ), quotient( Z, X ) ), product(
% 5.23/5.59 X, quotient( product( Y, Z ), X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 415, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.23/5.59 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.23/5.59 , clause( 13848, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.23/5.59 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13850, [ =( difference( Y, eta( X ) ), quotient( eta( product( X, Y
% 5.23/5.59 ) ), Y ) ) ] )
% 5.23/5.59 , clause( 45, [ =( quotient( eta( product( X, Y ) ), Y ), difference( Y,
% 5.23/5.59 eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13853, [ =( difference( X, eta( j( Y ) ) ), quotient( eta( j(
% 5.23/5.59 difference( X, Y ) ) ), X ) ) ] )
% 5.23/5.59 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.59 , 0, clause( 13850, [ =( difference( Y, eta( X ) ), quotient( eta( product(
% 5.23/5.59 X, Y ) ), Y ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, j( Y ) ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13855, [ =( difference( X, eta( j( Y ) ) ), quotient( eta(
% 5.23/5.59 difference( X, Y ) ), X ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13853, [ =( difference( X, eta( j( Y ) ) ), quotient( eta( j(
% 5.23/5.59 difference( X, Y ) ) ), X ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, difference( X, Y ) )] ), substitution( 1
% 5.23/5.59 , [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13857, [ =( difference( X, eta( Y ) ), quotient( eta( difference( X
% 5.23/5.59 , Y ) ), X ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13855, [ =( difference( X, eta( j( Y ) ) ), quotient( eta(
% 5.23/5.59 difference( X, Y ) ), X ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13858, [ =( quotient( eta( difference( X, Y ) ), X ), difference( X
% 5.23/5.59 , eta( Y ) ) ) ] )
% 5.23/5.59 , clause( 13857, [ =( difference( X, eta( Y ) ), quotient( eta( difference(
% 5.23/5.59 X, Y ) ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 419, [ =( quotient( eta( difference( Y, X ) ), Y ), difference( Y,
% 5.23/5.59 eta( X ) ) ) ] )
% 5.23/5.59 , clause( 13858, [ =( quotient( eta( difference( X, Y ) ), X ), difference(
% 5.23/5.59 X, eta( Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13860, [ =( difference( Y, eta( X ) ), quotient( eta( product( X, Y
% 5.23/5.59 ) ), Y ) ) ] )
% 5.23/5.59 , clause( 45, [ =( quotient( eta( product( X, Y ) ), Y ), difference( Y,
% 5.23/5.59 eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13863, [ =( difference( X, eta( j( product( X, Y ) ) ) ), quotient(
% 5.23/5.59 eta( j( Y ) ), X ) ) ] )
% 5.23/5.59 , clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.23/5.59 , 0, clause( 13860, [ =( difference( Y, eta( X ) ), quotient( eta( product(
% 5.23/5.59 X, Y ) ), Y ) ) ] )
% 5.23/5.59 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, j( product( X, Y ) ) ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13865, [ =( difference( X, eta( j( product( X, Y ) ) ) ), quotient(
% 5.23/5.59 eta( Y ), X ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13863, [ =( difference( X, eta( j( product( X, Y ) ) ) ),
% 5.23/5.59 quotient( eta( j( Y ) ), X ) ) ] )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13867, [ =( difference( X, eta( product( X, Y ) ) ), quotient( eta(
% 5.23/5.59 Y ), X ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13865, [ =( difference( X, eta( j( product( X, Y ) ) ) ),
% 5.23/5.59 quotient( eta( Y ), X ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, product( X, Y ) )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 423, [ =( difference( X, eta( product( X, Y ) ) ), quotient( eta( Y
% 5.23/5.59 ), X ) ) ] )
% 5.23/5.59 , clause( 13867, [ =( difference( X, eta( product( X, Y ) ) ), quotient(
% 5.23/5.59 eta( Y ), X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13870, [ =( difference( Y, eta( X ) ), quotient( eta( product( X, Y
% 5.23/5.59 ) ), Y ) ) ] )
% 5.23/5.59 , clause( 45, [ =( quotient( eta( product( X, Y ) ), Y ), difference( Y,
% 5.23/5.59 eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13871, [ =( difference( X, eta( t( X, Y ) ) ), quotient( eta(
% 5.23/5.59 product( X, Y ) ), X ) ) ] )
% 5.23/5.59 , clause( 72, [ =( product( t( X, Y ), X ), product( X, Y ) ) ] )
% 5.23/5.59 , 0, clause( 13870, [ =( difference( Y, eta( X ) ), quotient( eta( product(
% 5.23/5.59 X, Y ) ), Y ) ) ] )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, t( X, Y ) ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13872, [ =( quotient( eta( product( X, Y ) ), X ), difference( X,
% 5.23/5.59 eta( t( X, Y ) ) ) ) ] )
% 5.23/5.59 , clause( 13871, [ =( difference( X, eta( t( X, Y ) ) ), quotient( eta(
% 5.23/5.59 product( X, Y ) ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 424, [ =( quotient( eta( product( X, Y ) ), X ), difference( X, eta(
% 5.23/5.59 t( X, Y ) ) ) ) ] )
% 5.23/5.59 , clause( 13872, [ =( quotient( eta( product( X, Y ) ), X ), difference( X
% 5.23/5.59 , eta( t( X, Y ) ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13874, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13875, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 130, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, clause( 13874, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, product( eta( X ), j( Y ) ) ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 13875, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y )
% 5.23/5.59 ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13878, [ =( difference( Y, eta( X ) ), quotient( eta( product( X, Y
% 5.23/5.59 ) ), Y ) ) ] )
% 5.23/5.59 , clause( 45, [ =( quotient( eta( product( X, Y ) ), Y ), difference( Y,
% 5.23/5.59 eta( X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13883, [ =( difference( j( X ), eta( eta( Y ) ) ), quotient( eta(
% 5.23/5.59 quotient( eta( Y ), X ) ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, clause( 13878, [ =( difference( Y, eta( X ) ), quotient( eta( product(
% 5.23/5.59 X, Y ) ), Y ) ) ] )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, eta( Y ) ), :=( Y, j( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13884, [ =( difference( j( X ), one ), quotient( eta( quotient( eta(
% 5.23/5.59 Y ), X ) ), j( X ) ) ) ] )
% 5.23/5.59 , clause( 242, [ =( eta( eta( X ) ), one ) ] )
% 5.23/5.59 , 0, clause( 13883, [ =( difference( j( X ), eta( eta( Y ) ) ), quotient(
% 5.23/5.59 eta( quotient( eta( Y ), X ) ), j( X ) ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13885, [ =( i( j( X ) ), quotient( eta( quotient( eta( Y ), X ) ),
% 5.23/5.59 j( X ) ) ) ] )
% 5.23/5.59 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13884, [ =( difference( j( X ), one ), quotient( eta( quotient(
% 5.23/5.59 eta( Y ), X ) ), j( X ) ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, j( X ) )] ), substitution( 1, [ :=( X, X
% 5.23/5.59 ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13886, [ =( X, quotient( eta( quotient( eta( Y ), X ) ), j( X ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13885, [ =( i( j( X ) ), quotient( eta( quotient( eta( Y ), X
% 5.23/5.59 ) ), j( X ) ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13887, [ =( quotient( eta( quotient( eta( Y ), X ) ), j( X ) ), X )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 13886, [ =( X, quotient( eta( quotient( eta( Y ), X ) ), j( X ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 437, [ =( quotient( eta( quotient( eta( X ), Y ) ), j( Y ) ), Y ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 13887, [ =( quotient( eta( quotient( eta( Y ), X ) ), j( X ) ), X
% 5.23/5.59 ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13889, [ =( i( Y ), product( X, i( product( Y, X ) ) ) ) ] )
% 5.23/5.59 , clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13893, [ =( i( eta( X ) ), product( j( Y ), i( quotient( eta( X ),
% 5.23/5.59 Y ) ) ) ) ] )
% 5.23/5.59 , clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, clause( 13889, [ =( i( Y ), product( X, i( product( Y, X ) ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, j( Y ) ), :=( Y, eta( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13894, [ =( i( eta( X ) ), i( quotient( quotient( eta( X ), Y ), j(
% 5.23/5.59 Y ) ) ) ) ] )
% 5.23/5.59 , clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.23/5.59 , 0, clause( 13893, [ =( i( eta( X ) ), product( j( Y ), i( quotient( eta(
% 5.23/5.59 X ), Y ) ) ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, quotient( eta( X ), Y ) ), :=( Y, j( Y )
% 5.23/5.59 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13895, [ =( i( eta( X ) ), i( j( difference( product( Y, eta( X ) )
% 5.23/5.59 , Y ) ) ) ) ] )
% 5.23/5.59 , clause( 364, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.23/5.59 product( X, Y ), X ) ) ) ] )
% 5.23/5.59 , 0, clause( 13894, [ =( i( eta( X ) ), i( quotient( quotient( eta( X ), Y
% 5.23/5.59 ), j( Y ) ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, eta( X ) )] ), substitution(
% 5.23/5.59 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13896, [ =( i( eta( X ) ), difference( product( Y, eta( X ) ), Y )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13895, [ =( i( eta( X ) ), i( j( difference( product( Y, eta(
% 5.23/5.59 X ) ), Y ) ) ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, difference( product( Y, eta( X ) ), Y ) )] )
% 5.23/5.59 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13897, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 13896, [ =( i( eta( X ) ), difference( product( Y, eta( X ) ), Y
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 439, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 13897, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13899, [ =( quotient( eta( X ), Y ), product( eta( X ), j( Y ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13904, [ =( quotient( eta( X ), product( eta( Y ), j( Y ) ) ),
% 5.23/5.59 product( eta( X ), Y ) ) ] )
% 5.23/5.59 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13899, [ =( quotient( eta( X ), Y ), product( eta( X ), j( Y )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, product( eta( Y ), j( Y ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13905, [ =( quotient( eta( X ), i( Y ) ), product( eta( X ), Y ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13904, [ =( quotient( eta( X ), product( eta( Y ), j( Y ) ) )
% 5.23/5.59 , product( eta( X ), Y ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13906, [ =( difference( j( eta( X ) ), Y ), product( eta( X ), Y )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.23/5.59 , 0, clause( 13905, [ =( quotient( eta( X ), i( Y ) ), product( eta( X ), Y
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, eta( X ) )] ), substitution(
% 5.23/5.59 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13907, [ =( difference( i( eta( X ) ), Y ), product( eta( X ), Y )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 232, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 5.23/5.59 , 0, clause( 13906, [ =( difference( j( eta( X ) ), Y ), product( eta( X )
% 5.23/5.59 , Y ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 441, [ =( difference( i( eta( Y ) ), X ), product( eta( Y ), X ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 13907, [ =( difference( i( eta( X ) ), Y ), product( eta( X ), Y
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13910, [ =( product( j( j( X ) ), Y ), product( X, product( eta( X
% 5.23/5.59 ), Y ) ) ) ] )
% 5.23/5.59 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 5.23/5.59 ), Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13913, [ =( product( j( j( X ) ), j( Y ) ), product( X, quotient(
% 5.23/5.59 eta( X ), Y ) ) ) ] )
% 5.23/5.59 , clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, clause( 13910, [ =( product( j( j( X ) ), Y ), product( X, product(
% 5.23/5.59 eta( X ), Y ) ) ) ] )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, j( Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13914, [ =( j( difference( j( Y ), j( X ) ) ), product( X, quotient(
% 5.23/5.59 eta( X ), Y ) ) ) ] )
% 5.23/5.59 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.59 , 0, clause( 13913, [ =( product( j( j( X ) ), j( Y ) ), product( X,
% 5.23/5.59 quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, j( Y ) ), :=( Y, j( X ) )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13915, [ =( j( quotient( X, Y ) ), product( Y, quotient( eta( Y ),
% 5.23/5.59 X ) ) ) ] )
% 5.23/5.59 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.59 , 0, clause( 13914, [ =( j( difference( j( Y ), j( X ) ) ), product( X,
% 5.23/5.59 quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, Y ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13916, [ =( product( Y, quotient( eta( Y ), X ) ), j( quotient( X,
% 5.23/5.59 Y ) ) ) ] )
% 5.23/5.59 , clause( 13915, [ =( j( quotient( X, Y ) ), product( Y, quotient( eta( Y )
% 5.23/5.59 , X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 444, [ =( product( X, quotient( eta( X ), Y ) ), j( quotient( Y, X
% 5.23/5.59 ) ) ) ] )
% 5.23/5.59 , clause( 13916, [ =( product( Y, quotient( eta( Y ), X ) ), j( quotient( X
% 5.23/5.59 , Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13918, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) ) ] )
% 5.23/5.59 , clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13921, [ =( product( X, eta( Y ) ), difference( j( X ), j( i( eta(
% 5.23/5.59 Y ) ) ) ) ) ] )
% 5.23/5.59 , clause( 439, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, clause( 13918, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, product( X, eta( Y ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13922, [ =( product( X, eta( Y ) ), quotient( X, i( eta( Y ) ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.59 , 0, clause( 13921, [ =( product( X, eta( Y ) ), difference( j( X ), j( i(
% 5.23/5.59 eta( Y ) ) ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, i( eta( Y ) ) )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13923, [ =( product( X, eta( Y ) ), difference( j( X ), eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.23/5.59 , 0, clause( 13922, [ =( product( X, eta( Y ) ), quotient( X, i( eta( Y ) )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, eta( Y ) ), :=( Y, X )] ), substitution(
% 5.23/5.59 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13924, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 13923, [ =( product( X, eta( Y ) ), difference( j( X ), eta( Y )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 13924, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13926, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) ) ] )
% 5.23/5.59 , clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13928, [ =( j( X ), difference( j( eta( Y ) ), j( product( X, eta(
% 5.23/5.59 Y ) ) ) ) ) ] )
% 5.23/5.59 , clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, clause( 13926, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, eta( Y ) ), :=( Y, j( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13929, [ =( j( X ), quotient( eta( Y ), product( X, eta( Y ) ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.59 , 0, clause( 13928, [ =( j( X ), difference( j( eta( Y ) ), j( product( X,
% 5.23/5.59 eta( Y ) ) ) ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, eta( Y ) ), :=( Y, product( X, eta( Y ) )
% 5.23/5.59 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13930, [ =( quotient( eta( Y ), product( X, eta( Y ) ) ), j( X ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 13929, [ =( j( X ), quotient( eta( Y ), product( X, eta( Y ) ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 457, [ =( quotient( eta( Y ), product( X, eta( Y ) ) ), j( X ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 13930, [ =( quotient( eta( Y ), product( X, eta( Y ) ) ), j( X )
% 5.23/5.59 ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13932, [ =( product( X, eta( Y ) ), difference( j( X ), eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13934, [ =( product( product( eta( X ), j( X ) ), eta( Y ) ),
% 5.23/5.59 difference( X, eta( Y ) ) ) ] )
% 5.23/5.59 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.59 , 0, clause( 13932, [ =( product( X, eta( Y ) ), difference( j( X ), eta( Y
% 5.23/5.59 ) ) ) ] )
% 5.23/5.59 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 5.23/5.59 product( eta( X ), j( X ) ) ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13935, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13934, [ =( product( product( eta( X ), j( X ) ), eta( Y ) ),
% 5.23/5.59 difference( X, eta( Y ) ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 13935, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13938, [ =( X, difference( difference( X, product( product( X, Y )
% 5.23/5.59 , Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 5.23/5.59 , clause( 37, [ =( difference( difference( Z, product( product( Z, X ), Y )
% 5.23/5.59 ), product( X, product( Y, Z ) ) ), Z ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13942, [ =( eta( X ), difference( difference( eta( X ), product(
% 5.23/5.59 product( eta( X ), Y ), i( Z ) ) ), product( Y, difference( Z, eta( X ) )
% 5.23/5.59 ) ) ) ] )
% 5.23/5.59 , clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, clause( 13938, [ =( X, difference( difference( X, product( product( X
% 5.23/5.59 , Y ), Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 5.23/5.59 , 0, 16, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, eta( X ) ), :=( Y, Y ), :=( Z, i( Z ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13943, [ =( eta( X ), difference( product( Y, i( Z ) ), product( Y
% 5.23/5.59 , difference( Z, eta( X ) ) ) ) ) ] )
% 5.23/5.59 , clause( 132, [ =( difference( eta( X ), product( product( eta( X ), Y ),
% 5.23/5.59 Z ) ), product( Y, Z ) ) ] )
% 5.23/5.59 , 0, clause( 13942, [ =( eta( X ), difference( difference( eta( X ),
% 5.23/5.59 product( product( eta( X ), Y ), i( Z ) ) ), product( Y, difference( Z,
% 5.23/5.59 eta( X ) ) ) ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, i( Z ) )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13944, [ =( eta( X ), difference( i( quotient( Z, Y ) ), product( Y
% 5.23/5.59 , difference( Z, eta( X ) ) ) ) ) ] )
% 5.23/5.59 , clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.23/5.59 , 0, clause( 13943, [ =( eta( X ), difference( product( Y, i( Z ) ),
% 5.23/5.59 product( Y, difference( Z, eta( X ) ) ) ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13945, [ =( difference( i( quotient( Y, Z ) ), product( Z,
% 5.23/5.59 difference( Y, eta( X ) ) ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 13944, [ =( eta( X ), difference( i( quotient( Z, Y ) ), product(
% 5.23/5.59 Y, difference( Z, eta( X ) ) ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 462, [ =( difference( i( quotient( X, Z ) ), product( Z, difference(
% 5.23/5.59 X, eta( Y ) ) ) ), eta( Y ) ) ] )
% 5.23/5.59 , clause( 13945, [ =( difference( i( quotient( Y, Z ) ), product( Z,
% 5.23/5.59 difference( Y, eta( X ) ) ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13947, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13949, [ =( i( X ), quotient( difference( X, eta( Y ) ), eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, clause( 13947, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, i( X ) ), :=( Y, eta( Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13950, [ =( i( X ), difference( product( eta( Y ), X ), eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 53, [ =( quotient( difference( X, Y ), Y ), difference( product(
% 5.23/5.59 Y, X ), Y ) ) ] )
% 5.23/5.59 , 0, clause( 13949, [ =( i( X ), quotient( difference( X, eta( Y ) ), eta(
% 5.23/5.59 Y ) ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, eta( Y ) )] ), substitution(
% 5.23/5.59 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13951, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 13950, [ =( i( X ), difference( product( eta( Y ), X ), eta( Y )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 470, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 13951, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13953, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13954, [ =( eta( X ), difference( i( Y ), difference( Y, eta( X ) )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, clause( 13953, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, i( Y ) ), :=( Y, eta( X ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13955, [ =( difference( i( Y ), difference( Y, eta( X ) ) ), eta( X
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , clause( 13954, [ =( eta( X ), difference( i( Y ), difference( Y, eta( X )
% 5.23/5.59 ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 471, [ =( difference( i( X ), difference( X, eta( Y ) ) ), eta( Y )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 13955, [ =( difference( i( Y ), difference( Y, eta( X ) ) ), eta(
% 5.23/5.59 X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13957, [ =( i( Y ), difference( product( eta( X ), Y ), eta( X ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 470, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13958, [ =( i( product( X, Y ) ), difference( product( product( eta(
% 5.23/5.59 Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.23/5.59 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.23/5.59 eta( X ), Y ), Z ) ) ] )
% 5.23/5.59 , 0, clause( 13957, [ =( i( Y ), difference( product( eta( X ), Y ), eta( X
% 5.23/5.59 ) ) ) ] )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.59 substitution( 1, [ :=( X, Z ), :=( Y, product( X, Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13959, [ =( difference( product( product( eta( Z ), X ), Y ), eta(
% 5.23/5.59 Z ) ), i( product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 13958, [ =( i( product( X, Y ) ), difference( product( product(
% 5.23/5.59 eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 475, [ =( difference( product( product( eta( X ), Y ), Z ), eta( X
% 5.23/5.59 ) ), i( product( Y, Z ) ) ) ] )
% 5.23/5.59 , clause( 13959, [ =( difference( product( product( eta( Z ), X ), Y ), eta(
% 5.23/5.59 Z ) ), i( product( X, Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13961, [ =( i( Y ), difference( product( eta( X ), Y ), eta( X ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 470, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13964, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.59 , 0, clause( 13961, [ =( i( Y ), difference( product( eta( X ), Y ), eta( X
% 5.23/5.59 ) ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, eta( X ) ), :=( Y, Y )] ), substitution(
% 5.23/5.59 1, [ :=( X, X ), :=( Y, difference( eta( X ), Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 476, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 13964, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X
% 5.23/5.59 ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13967, [ =( i( product( Y, X ) ), difference( X, i( Y ) ) ) ] )
% 5.23/5.59 , clause( 270, [ =( difference( X, i( Y ) ), i( product( Y, X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13970, [ =( i( product( difference( eta( X ), Y ), Z ) ),
% 5.23/5.59 difference( Z, difference( Y, eta( X ) ) ) ) ] )
% 5.23/5.59 , clause( 476, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, clause( 13967, [ =( i( product( Y, X ) ), difference( X, i( Y ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, Z ), :=( Y, difference( eta( X ), Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 483, [ =( i( product( difference( eta( X ), Y ), Z ) ), difference(
% 5.23/5.59 Z, difference( Y, eta( X ) ) ) ) ] )
% 5.23/5.59 , clause( 13970, [ =( i( product( difference( eta( X ), Y ), Z ) ),
% 5.23/5.59 difference( Z, difference( Y, eta( X ) ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13973, [ =( j( Y ), quotient( eta( X ), product( Y, eta( X ) ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 457, [ =( quotient( eta( Y ), product( X, eta( Y ) ) ), j( X ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13976, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, clause( 13973, [ =( j( Y ), quotient( eta( X ), product( Y, eta( X ) )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, eta( Y ) )] ), substitution(
% 5.23/5.59 1, [ :=( X, Y ), :=( Y, quotient( X, eta( Y ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 495, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , clause( 13976, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X )
% 5.23/5.59 ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13979, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 5.23/5.59 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , clause( 54, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 5.23/5.59 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13984, [ =( difference( product( X, Y ), product( X, i( X ) ) ),
% 5.23/5.59 quotient( difference( Y, eta( X ) ), X ) ) ] )
% 5.23/5.59 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13979, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 5.23/5.59 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 5.23/5.59 :=( Y, i( X ) ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13985, [ =( difference( product( X, Y ), one ), quotient(
% 5.23/5.59 difference( Y, eta( X ) ), X ) ) ] )
% 5.23/5.59 , clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.23/5.59 , 0, clause( 13984, [ =( difference( product( X, Y ), product( X, i( X ) )
% 5.23/5.59 ), quotient( difference( Y, eta( X ) ), X ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13986, [ =( i( product( X, Y ) ), quotient( difference( Y, eta( X )
% 5.23/5.59 ), X ) ) ] )
% 5.23/5.59 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13985, [ =( difference( product( X, Y ), one ), quotient(
% 5.23/5.59 difference( Y, eta( X ) ), X ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, product( X, Y ) )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13987, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X
% 5.23/5.59 , Y ) ) ) ] )
% 5.23/5.59 , clause( 13986, [ =( i( product( X, Y ) ), quotient( difference( Y, eta( X
% 5.23/5.59 ) ), X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 520, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X,
% 5.23/5.59 Y ) ) ) ] )
% 5.23/5.59 , clause( 13987, [ =( quotient( difference( Y, eta( X ) ), X ), i( product(
% 5.23/5.59 X, Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 13989, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 5.23/5.59 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , clause( 54, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 5.23/5.59 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13995, [ =( difference( product( X, Y ), product( X, j( X ) ) ),
% 5.23/5.59 quotient( difference( Y, one ), X ) ) ] )
% 5.23/5.59 , clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.23/5.59 , 0, clause( 13989, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 5.23/5.59 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 5.23/5.59 :=( Y, j( X ) ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13996, [ =( difference( product( X, Y ), product( X, j( X ) ) ),
% 5.23/5.59 quotient( i( Y ), X ) ) ] )
% 5.23/5.59 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.23/5.59 , 0, clause( 13995, [ =( difference( product( X, Y ), product( X, j( X ) )
% 5.23/5.59 ), quotient( difference( Y, one ), X ) ) ] )
% 5.23/5.59 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13997, [ =( difference( product( X, Y ), product( X, j( X ) ) ),
% 5.23/5.59 difference( Y, j( X ) ) ) ] )
% 5.23/5.59 , clause( 331, [ =( quotient( i( X ), Y ), difference( X, j( Y ) ) ) ] )
% 5.23/5.59 , 0, clause( 13996, [ =( difference( product( X, Y ), product( X, j( X ) )
% 5.23/5.59 ), quotient( i( Y ), X ) ) ] )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 13998, [ =( difference( product( X, Y ), eta( X ) ), difference( Y
% 5.23/5.59 , j( X ) ) ) ] )
% 5.23/5.59 , clause( 61, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 13997, [ =( difference( product( X, Y ), product( X, j( X ) )
% 5.23/5.59 ), difference( Y, j( X ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 523, [ =( difference( product( X, Y ), eta( X ) ), difference( Y, j(
% 5.23/5.59 X ) ) ) ] )
% 5.23/5.59 , clause( 13998, [ =( difference( product( X, Y ), eta( X ) ), difference(
% 5.23/5.59 Y, j( X ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14001, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 5.23/5.59 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , clause( 54, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 5.23/5.59 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14006, [ =( difference( product( X, Y ), product( X, quotient( Z, X
% 5.23/5.59 ) ) ), quotient( difference( Y, Z ), X ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, clause( 14001, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 5.23/5.59 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 5.23/5.59 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, Y ), :=( Y, quotient( Z, X ) ), :=( Z, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 527, [ =( difference( product( Y, Z ), product( Y, quotient( X, Y )
% 5.23/5.59 ) ), quotient( difference( Z, X ), Y ) ) ] )
% 5.23/5.59 , clause( 14006, [ =( difference( product( X, Y ), product( X, quotient( Z
% 5.23/5.59 , X ) ) ), quotient( difference( Y, Z ), X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14011, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ] )
% 5.23/5.59 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14012, [ =( quotient( quotient( X, eta( Y ) ), Z ), difference(
% 5.23/5.59 quotient( eta( Y ), X ), j( Z ) ) ) ] )
% 5.23/5.59 , clause( 495, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, clause( 14011, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, quotient( X, eta( Y ) ) ), :=( Y, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14014, [ =( difference( quotient( eta( Y ), X ), j( Z ) ), quotient(
% 5.23/5.59 quotient( X, eta( Y ) ), Z ) ) ] )
% 5.23/5.59 , clause( 14012, [ =( quotient( quotient( X, eta( Y ) ), Z ), difference(
% 5.23/5.59 quotient( eta( Y ), X ), j( Z ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 536, [ =( difference( quotient( eta( Y ), X ), j( Z ) ), quotient(
% 5.23/5.59 quotient( X, eta( Y ) ), Z ) ) ] )
% 5.23/5.59 , clause( 14014, [ =( difference( quotient( eta( Y ), X ), j( Z ) ),
% 5.23/5.59 quotient( quotient( X, eta( Y ) ), Z ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14016, [ =( product( eta( X ), Y ), difference( i( eta( X ) ), Y )
% 5.23/5.59 ) ] )
% 5.23/5.59 , clause( 441, [ =( difference( i( eta( Y ) ), X ), product( eta( Y ), X )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14026, [ =( product( eta( X ), product( product( i( eta( X ) ), Y )
% 5.23/5.59 , quotient( Z, i( eta( X ) ) ) ) ), quotient( product( Y, Z ), i( eta( X
% 5.23/5.59 ) ) ) ) ] )
% 5.23/5.59 , clause( 44, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y
% 5.23/5.59 ) ) ), quotient( product( Z, X ), Y ) ) ] )
% 5.23/5.59 , 0, clause( 14016, [ =( product( eta( X ), Y ), difference( i( eta( X ) )
% 5.23/5.59 , Y ) ) ] )
% 5.23/5.59 , 0, 15, substitution( 0, [ :=( X, Z ), :=( Y, i( eta( X ) ) ), :=( Z, Y )] )
% 5.23/5.59 , substitution( 1, [ :=( X, X ), :=( Y, product( product( i( eta( X ) ),
% 5.23/5.59 Y ), quotient( Z, i( eta( X ) ) ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14027, [ =( product( product( eta( X ), product( i( eta( X ) ), Y )
% 5.23/5.59 ), quotient( Z, i( eta( X ) ) ) ), quotient( product( Y, Z ), i( eta( X
% 5.23/5.59 ) ) ) ) ] )
% 5.23/5.59 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.23/5.59 eta( X ), Y ), Z ) ) ] )
% 5.23/5.59 , 0, clause( 14026, [ =( product( eta( X ), product( product( i( eta( X ) )
% 5.23/5.59 , Y ), quotient( Z, i( eta( X ) ) ) ) ), quotient( product( Y, Z ), i(
% 5.23/5.59 eta( X ) ) ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, product( i( eta( X ) ), Y ) )
% 5.23/5.59 , :=( Z, quotient( Z, i( eta( X ) ) ) )] ), substitution( 1, [ :=( X, X )
% 5.23/5.59 , :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14029, [ =( product( product( product( eta( X ), i( eta( X ) ) ), Y
% 5.23/5.59 ), quotient( Z, i( eta( X ) ) ) ), quotient( product( Y, Z ), i( eta( X
% 5.23/5.59 ) ) ) ) ] )
% 5.23/5.59 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.23/5.59 eta( X ), Y ), Z ) ) ] )
% 5.23/5.59 , 0, clause( 14027, [ =( product( product( eta( X ), product( i( eta( X ) )
% 5.23/5.59 , Y ) ), quotient( Z, i( eta( X ) ) ) ), quotient( product( Y, Z ), i(
% 5.23/5.59 eta( X ) ) ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, i( eta( X ) ) ), :=( Z, Y )] )
% 5.23/5.59 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14030, [ =( product( product( one, Y ), quotient( Z, i( eta( X ) )
% 5.23/5.59 ) ), quotient( product( Y, Z ), i( eta( X ) ) ) ) ] )
% 5.23/5.59 , clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.23/5.59 , 0, clause( 14029, [ =( product( product( product( eta( X ), i( eta( X ) )
% 5.23/5.59 ), Y ), quotient( Z, i( eta( X ) ) ) ), quotient( product( Y, Z ), i(
% 5.23/5.59 eta( X ) ) ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 5.23/5.59 X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14031, [ =( product( X, quotient( Y, i( eta( Z ) ) ) ), quotient(
% 5.23/5.59 product( X, Y ), i( eta( Z ) ) ) ) ] )
% 5.23/5.59 , clause( 1, [ =( product( one, X ), X ) ] )
% 5.23/5.59 , 0, clause( 14030, [ =( product( product( one, Y ), quotient( Z, i( eta( X
% 5.23/5.59 ) ) ) ), quotient( product( Y, Z ), i( eta( X ) ) ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Z ),
% 5.23/5.59 :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14033, [ =( product( X, quotient( Y, i( eta( Z ) ) ) ), difference(
% 5.23/5.59 j( product( X, Y ) ), eta( Z ) ) ) ] )
% 5.23/5.59 , clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.23/5.59 , 0, clause( 14031, [ =( product( X, quotient( Y, i( eta( Z ) ) ) ),
% 5.23/5.59 quotient( product( X, Y ), i( eta( Z ) ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, eta( Z ) ), :=( Y, product( X, Y ) )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14035, [ =( product( X, quotient( Y, i( eta( Z ) ) ) ), product(
% 5.23/5.59 product( X, Y ), eta( Z ) ) ) ] )
% 5.23/5.59 , clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, clause( 14033, [ =( product( X, quotient( Y, i( eta( Z ) ) ) ),
% 5.23/5.59 difference( j( product( X, Y ) ), eta( Z ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, product( X, Y ) ), :=( Y, Z )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14036, [ =( product( X, difference( j( Y ), eta( Z ) ) ), product(
% 5.23/5.59 product( X, Y ), eta( Z ) ) ) ] )
% 5.23/5.59 , clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.23/5.59 , 0, clause( 14035, [ =( product( X, quotient( Y, i( eta( Z ) ) ) ),
% 5.23/5.59 product( product( X, Y ), eta( Z ) ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, eta( Z ) ), :=( Y, Y )] ), substitution(
% 5.23/5.59 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14037, [ =( product( X, product( Y, eta( Z ) ) ), product( product(
% 5.23/5.59 X, Y ), eta( Z ) ) ) ] )
% 5.23/5.59 , clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.23/5.59 ) ] )
% 5.23/5.59 , 0, clause( 14036, [ =( product( X, difference( j( Y ), eta( Z ) ) ),
% 5.23/5.59 product( product( X, Y ), eta( Z ) ) ) ] )
% 5.23/5.59 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 5.23/5.59 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 564, [ =( product( Y, product( Z, eta( X ) ) ), product( product( Y
% 5.23/5.59 , Z ), eta( X ) ) ) ] )
% 5.23/5.59 , clause( 14037, [ =( product( X, product( Y, eta( Z ) ) ), product(
% 5.23/5.59 product( X, Y ), eta( Z ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14040, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14042, [ =( eta( quotient( eta( X ), Y ) ), product( Y, j( Y ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 437, [ =( quotient( eta( quotient( eta( X ), Y ) ), j( Y ) ), Y )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, clause( 14040, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, eta( quotient( eta( X ), Y ) ) ), :=( Y, j( Y ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14043, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 5.23/5.59 , clause( 61, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 14042, [ =( eta( quotient( eta( X ), Y ) ), product( Y, j( Y )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 636, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 5.23/5.59 , clause( 14043, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14046, [ =( eta( Y ), eta( quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.59 , clause( 636, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14051, [ =( eta( product( X, eta( Y ) ) ), eta( j( X ) ) ) ] )
% 5.23/5.59 , clause( 457, [ =( quotient( eta( Y ), product( X, eta( Y ) ) ), j( X ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, clause( 14046, [ =( eta( Y ), eta( quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.59 :=( X, Y ), :=( Y, product( X, eta( Y ) ) )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14052, [ =( eta( product( X, eta( Y ) ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 14051, [ =( eta( product( X, eta( Y ) ) ), eta( j( X ) ) ) ]
% 5.23/5.59 )
% 5.23/5.59 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 663, [ =( eta( product( Y, eta( X ) ) ), eta( Y ) ) ] )
% 5.23/5.59 , clause( 14052, [ =( eta( product( X, eta( Y ) ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14055, [ =( eta( Y ), eta( quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.59 , clause( 636, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14058, [ =( eta( X ), eta( difference( X, eta( Y ) ) ) ) ] )
% 5.23/5.59 , clause( 45, [ =( quotient( eta( product( X, Y ) ), Y ), difference( Y,
% 5.23/5.59 eta( X ) ) ) ] )
% 5.23/5.59 , 0, clause( 14055, [ =( eta( Y ), eta( quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.59 :=( X, product( Y, X ) ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14059, [ =( eta( difference( X, eta( Y ) ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 14058, [ =( eta( X ), eta( difference( X, eta( Y ) ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 664, [ =( eta( difference( Y, eta( X ) ) ), eta( Y ) ) ] )
% 5.23/5.59 , clause( 14059, [ =( eta( difference( X, eta( Y ) ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14061, [ =( eta( X ), eta( product( X, eta( Y ) ) ) ) ] )
% 5.23/5.59 , clause( 663, [ =( eta( product( Y, eta( X ) ) ), eta( Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14064, [ =( eta( j( X ) ), eta( j( difference( eta( Y ), X ) ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.59 , 0, clause( 14061, [ =( eta( X ), eta( product( X, eta( Y ) ) ) ) ] )
% 5.23/5.59 , 0, 5, substitution( 0, [ :=( X, eta( Y ) ), :=( Y, X )] ), substitution(
% 5.23/5.59 1, [ :=( X, j( X ) ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14066, [ =( eta( j( X ) ), eta( difference( eta( Y ), X ) ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 14064, [ =( eta( j( X ) ), eta( j( difference( eta( Y ), X ) )
% 5.23/5.59 ) ) ] )
% 5.23/5.59 , 0, 4, substitution( 0, [ :=( X, difference( eta( Y ), X ) )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14068, [ =( eta( X ), eta( difference( eta( Y ), X ) ) ) ] )
% 5.23/5.59 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 14066, [ =( eta( j( X ) ), eta( difference( eta( Y ), X ) ) )
% 5.23/5.59 ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.59 :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14069, [ =( eta( difference( eta( Y ), X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 14068, [ =( eta( X ), eta( difference( eta( Y ), X ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 685, [ =( eta( difference( eta( Y ), X ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 14069, [ =( eta( difference( eta( Y ), X ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14071, [ =( eta( X ), eta( product( X, eta( Y ) ) ) ) ] )
% 5.23/5.59 , clause( 663, [ =( eta( product( Y, eta( X ) ) ), eta( Y ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14072, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.59 , 0, clause( 14071, [ =( eta( X ), eta( product( X, eta( Y ) ) ) ) ] )
% 5.23/5.59 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, eta( Y ) )] ), substitution(
% 5.23/5.59 1, [ :=( X, quotient( X, eta( Y ) ) ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 693, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 5.23/5.59 , clause( 14072, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.59 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14075, [ =( eta( X ), eta( quotient( X, eta( Y ) ) ) ) ] )
% 5.23/5.59 , clause( 693, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14079, [ =( eta( product( X, product( Y, eta( Z ) ) ) ), eta(
% 5.23/5.59 difference( eta( Z ), product( product( eta( Z ), X ), Y ) ) ) ) ] )
% 5.23/5.59 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.23/5.59 X, product( product( X, Y ), Z ) ) ) ] )
% 5.23/5.59 , 0, clause( 14075, [ =( eta( X ), eta( quotient( X, eta( Y ) ) ) ) ] )
% 5.23/5.59 , 0, 9, substitution( 0, [ :=( X, eta( Z ) ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.59 substitution( 1, [ :=( X, product( X, product( Y, eta( Z ) ) ) ), :=( Y,
% 5.23/5.59 Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14080, [ =( eta( product( X, product( Y, eta( Z ) ) ) ), eta(
% 5.23/5.59 product( product( eta( Z ), X ), Y ) ) ) ] )
% 5.23/5.59 , clause( 685, [ =( eta( difference( eta( Y ), X ) ), eta( X ) ) ] )
% 5.23/5.59 , 0, clause( 14079, [ =( eta( product( X, product( Y, eta( Z ) ) ) ), eta(
% 5.23/5.59 difference( eta( Z ), product( product( eta( Z ), X ), Y ) ) ) ) ] )
% 5.23/5.59 , 0, 8, substitution( 0, [ :=( X, product( product( eta( Z ), X ), Y ) ),
% 5.23/5.59 :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 5.23/5.59 ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14081, [ =( eta( product( product( X, Y ), eta( Z ) ) ), eta(
% 5.23/5.59 product( product( eta( Z ), X ), Y ) ) ) ] )
% 5.23/5.59 , clause( 564, [ =( product( Y, product( Z, eta( X ) ) ), product( product(
% 5.23/5.59 Y, Z ), eta( X ) ) ) ] )
% 5.23/5.59 , 0, clause( 14080, [ =( eta( product( X, product( Y, eta( Z ) ) ) ), eta(
% 5.23/5.59 product( product( eta( Z ), X ), Y ) ) ) ] )
% 5.23/5.59 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 paramod(
% 5.23/5.59 clause( 14082, [ =( eta( product( X, Y ) ), eta( product( product( eta( Z )
% 5.23/5.59 , X ), Y ) ) ) ] )
% 5.23/5.59 , clause( 663, [ =( eta( product( Y, eta( X ) ) ), eta( Y ) ) ] )
% 5.23/5.59 , 0, clause( 14081, [ =( eta( product( product( X, Y ), eta( Z ) ) ), eta(
% 5.23/5.59 product( product( eta( Z ), X ), Y ) ) ) ] )
% 5.23/5.59 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, product( X, Y ) )] ),
% 5.23/5.59 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14083, [ =( eta( product( product( eta( Z ), X ), Y ) ), eta(
% 5.23/5.59 product( X, Y ) ) ) ] )
% 5.23/5.59 , clause( 14082, [ =( eta( product( X, Y ) ), eta( product( product( eta( Z
% 5.23/5.59 ), X ), Y ) ) ) ] )
% 5.23/5.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 subsumption(
% 5.23/5.59 clause( 734, [ =( eta( product( product( eta( Z ), X ), Y ) ), eta( product(
% 5.23/5.59 X, Y ) ) ) ] )
% 5.23/5.59 , clause( 14083, [ =( eta( product( product( eta( Z ), X ), Y ) ), eta(
% 5.23/5.59 product( X, Y ) ) ) ] )
% 5.23/5.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.59 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.59
% 5.23/5.59
% 5.23/5.59 eqswap(
% 5.23/5.59 clause( 14085, [ =( eta( X ), eta( difference( X, eta( Y ) ) ) ) ] )
% 5.23/5.60 , clause( 664, [ =( eta( difference( Y, eta( X ) ) ), eta( Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14088, [ =( eta( product( X, Y ) ), eta( difference( Y, j( X ) ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , clause( 523, [ =( difference( product( X, Y ), eta( X ) ), difference( Y
% 5.23/5.60 , j( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14085, [ =( eta( X ), eta( difference( X, eta( Y ) ) ) ) ] )
% 5.23/5.60 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, product( X, Y ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14089, [ =( eta( difference( Y, j( X ) ) ), eta( product( X, Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , clause( 14088, [ =( eta( product( X, Y ) ), eta( difference( Y, j( X ) )
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 834, [ =( eta( difference( Y, j( X ) ) ), eta( product( X, Y ) ) )
% 5.23/5.60 ] )
% 5.23/5.60 , clause( 14089, [ =( eta( difference( Y, j( X ) ) ), eta( product( X, Y )
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14091, [ =( difference( Y, j( X ) ), difference( product( X, Y ),
% 5.23/5.60 eta( X ) ) ) ] )
% 5.23/5.60 , clause( 523, [ =( difference( product( X, Y ), eta( X ) ), difference( Y
% 5.23/5.60 , j( X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14095, [ =( difference( X, j( j( Y ) ) ), difference( j( difference(
% 5.23/5.60 X, Y ) ), eta( j( Y ) ) ) ) ] )
% 5.23/5.60 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14091, [ =( difference( Y, j( X ) ), difference( product( X, Y
% 5.23/5.60 ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, j( Y ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14096, [ =( difference( X, j( j( Y ) ) ), product( difference( X, Y
% 5.23/5.60 ), eta( j( Y ) ) ) ) ] )
% 5.23/5.60 , clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, clause( 14095, [ =( difference( X, j( j( Y ) ) ), difference( j(
% 5.23/5.60 difference( X, Y ) ), eta( j( Y ) ) ) ) ] )
% 5.23/5.60 , 0, 6, substitution( 0, [ :=( X, difference( X, Y ) ), :=( Y, j( Y ) )] )
% 5.23/5.60 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14097, [ =( difference( X, j( j( Y ) ) ), product( difference( X, Y
% 5.23/5.60 ), eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.60 , 0, clause( 14096, [ =( difference( X, j( j( Y ) ) ), product( difference(
% 5.23/5.60 X, Y ), eta( j( Y ) ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14098, [ =( product( difference( X, Y ), eta( Y ) ), difference( X
% 5.23/5.60 , j( j( Y ) ) ) ) ] )
% 5.23/5.60 , clause( 14097, [ =( difference( X, j( j( Y ) ) ), product( difference( X
% 5.23/5.60 , Y ), eta( Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 841, [ =( product( difference( Y, X ), eta( X ) ), difference( Y, j(
% 5.23/5.60 j( X ) ) ) ) ] )
% 5.23/5.60 , clause( 14098, [ =( product( difference( X, Y ), eta( Y ) ), difference(
% 5.23/5.60 X, j( j( Y ) ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14100, [ =( difference( Y, j( X ) ), difference( product( X, Y ),
% 5.23/5.60 eta( X ) ) ) ] )
% 5.23/5.60 , clause( 523, [ =( difference( product( X, Y ), eta( X ) ), difference( Y
% 5.23/5.60 , j( X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14103, [ =( difference( difference( X, Y ), j( X ) ), difference( Y
% 5.23/5.60 , eta( X ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14100, [ =( difference( Y, j( X ) ), difference( product( X, Y
% 5.23/5.60 ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 851, [ =( difference( difference( X, Y ), j( X ) ), difference( Y,
% 5.23/5.60 eta( X ) ) ) ] )
% 5.23/5.60 , clause( 14103, [ =( difference( difference( X, Y ), j( X ) ), difference(
% 5.23/5.60 Y, eta( X ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14106, [ =( t( X, product( Y, eta( X ) ) ), quotient( product(
% 5.23/5.60 product( X, Y ), eta( X ) ), X ) ) ] )
% 5.23/5.60 , clause( 104, [ =( quotient( product( product( X, Y ), eta( X ) ), X ), t(
% 5.23/5.60 X, product( Y, eta( X ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14111, [ =( t( X, product( i( Y ), eta( X ) ) ), quotient( product(
% 5.23/5.60 i( quotient( Y, X ) ), eta( X ) ), X ) ) ] )
% 5.23/5.60 , clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14106, [ =( t( X, product( Y, eta( X ) ) ), quotient( product(
% 5.23/5.60 product( X, Y ), eta( X ) ), X ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, i( Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14113, [ =( t( X, product( i( Y ), eta( X ) ) ), quotient(
% 5.23/5.60 difference( quotient( Y, X ), eta( X ) ), X ) ) ] )
% 5.23/5.60 , clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, clause( 14111, [ =( t( X, product( i( Y ), eta( X ) ) ), quotient(
% 5.23/5.60 product( i( quotient( Y, X ) ), eta( X ) ), X ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, quotient( Y, X ) ), :=( Y, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14115, [ =( t( X, product( i( Y ), eta( X ) ) ), i( product( X,
% 5.23/5.60 quotient( Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 520, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14113, [ =( t( X, product( i( Y ), eta( X ) ) ), quotient(
% 5.23/5.60 difference( quotient( Y, X ), eta( X ) ), X ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, quotient( Y, X ) )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14116, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.23/5.60 quotient( Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, clause( 14115, [ =( t( X, product( i( Y ), eta( X ) ) ), i( product( X
% 5.23/5.60 , quotient( Y, X ) ) ) ) ] )
% 5.23/5.60 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 869, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.23/5.60 quotient( Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 14116, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.23/5.60 quotient( Y, X ) ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14119, [ =( difference( Y, eta( X ) ), difference( difference( X, Y
% 5.23/5.60 ), j( X ) ) ) ] )
% 5.23/5.60 , clause( 851, [ =( difference( difference( X, Y ), j( X ) ), difference( Y
% 5.23/5.60 , eta( X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14122, [ =( difference( X, eta( product( eta( Y ), j( Y ) ) ) ),
% 5.23/5.60 difference( difference( product( eta( Y ), j( Y ) ), X ), Y ) ) ] )
% 5.23/5.60 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14119, [ =( difference( Y, eta( X ) ), difference( difference(
% 5.23/5.60 X, Y ), j( X ) ) ) ] )
% 5.23/5.60 , 0, 17, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 5.23/5.60 product( eta( Y ), j( Y ) ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14124, [ =( difference( X, eta( product( eta( Y ), j( Y ) ) ) ),
% 5.23/5.60 difference( difference( i( Y ), X ), Y ) ) ] )
% 5.23/5.60 , clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.60 , 0, clause( 14122, [ =( difference( X, eta( product( eta( Y ), j( Y ) ) )
% 5.23/5.60 ), difference( difference( product( eta( Y ), j( Y ) ), X ), Y ) ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14125, [ =( difference( X, eta( i( Y ) ) ), difference( difference(
% 5.23/5.60 i( Y ), X ), Y ) ) ] )
% 5.23/5.60 , clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.23/5.60 , 0, clause( 14124, [ =( difference( X, eta( product( eta( Y ), j( Y ) ) )
% 5.23/5.60 ), difference( difference( i( Y ), X ), Y ) ) ] )
% 5.23/5.60 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14126, [ =( difference( X, eta( Y ) ), difference( difference( i( Y
% 5.23/5.60 ), X ), Y ) ) ] )
% 5.23/5.60 , clause( 51, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.23/5.60 , 0, clause( 14125, [ =( difference( X, eta( i( Y ) ) ), difference(
% 5.23/5.60 difference( i( Y ), X ), Y ) ) ] )
% 5.23/5.60 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14127, [ =( difference( difference( i( Y ), X ), Y ), difference( X
% 5.23/5.60 , eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 14126, [ =( difference( X, eta( Y ) ), difference( difference( i(
% 5.23/5.60 Y ), X ), Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 965, [ =( difference( difference( i( X ), Y ), X ), difference( Y,
% 5.23/5.60 eta( X ) ) ) ] )
% 5.23/5.60 , clause( 14127, [ =( difference( difference( i( Y ), X ), Y ), difference(
% 5.23/5.60 X, eta( Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14129, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14131, [ =( difference( i( X ), Y ), difference( j( X ), j(
% 5.23/5.60 difference( Y, eta( X ) ) ) ) ) ] )
% 5.23/5.60 , clause( 965, [ =( difference( difference( i( X ), Y ), X ), difference( Y
% 5.23/5.60 , eta( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14129, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) )
% 5.23/5.60 ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, difference( i( X ), Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14132, [ =( difference( i( X ), Y ), quotient( X, difference( Y,
% 5.23/5.60 eta( X ) ) ) ) ] )
% 5.23/5.60 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.60 , 0, clause( 14131, [ =( difference( i( X ), Y ), difference( j( X ), j(
% 5.23/5.60 difference( Y, eta( X ) ) ) ) ) ] )
% 5.23/5.60 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, difference( Y, eta( X ) ) )] )
% 5.23/5.60 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14133, [ =( quotient( X, difference( Y, eta( X ) ) ), difference( i(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , clause( 14132, [ =( difference( i( X ), Y ), quotient( X, difference( Y,
% 5.23/5.60 eta( X ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 993, [ =( quotient( X, difference( Y, eta( X ) ) ), difference( i(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , clause( 14133, [ =( quotient( X, difference( Y, eta( X ) ) ), difference(
% 5.23/5.60 i( X ), Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14135, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14136, [ =( X, product( difference( i( X ), Y ), difference( Y, eta(
% 5.23/5.60 X ) ) ) ) ] )
% 5.23/5.60 , clause( 965, [ =( difference( difference( i( X ), Y ), X ), difference( Y
% 5.23/5.60 , eta( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14135, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, difference( i( X ), Y ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14137, [ =( product( difference( i( X ), Y ), difference( Y, eta( X
% 5.23/5.60 ) ) ), X ) ] )
% 5.23/5.60 , clause( 14136, [ =( X, product( difference( i( X ), Y ), difference( Y,
% 5.23/5.60 eta( X ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 995, [ =( product( difference( i( X ), Y ), difference( Y, eta( X )
% 5.23/5.60 ) ), X ) ] )
% 5.23/5.60 , clause( 14137, [ =( product( difference( i( X ), Y ), difference( Y, eta(
% 5.23/5.60 X ) ) ), X ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14139, [ =( difference( i( X ), Y ), quotient( X, difference( Y,
% 5.23/5.60 eta( X ) ) ) ) ] )
% 5.23/5.60 , clause( 993, [ =( quotient( X, difference( Y, eta( X ) ) ), difference( i(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14142, [ =( difference( i( X ), quotient( eta( X ), Y ) ), quotient(
% 5.23/5.60 X, Y ) ) ] )
% 5.23/5.60 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.23/5.60 , 0, clause( 14139, [ =( difference( i( X ), Y ), quotient( X, difference(
% 5.23/5.60 Y, eta( X ) ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, eta( X ) ), :=( Y, Y )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, quotient( eta( X ), Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1001, [ =( difference( i( X ), quotient( eta( X ), Y ) ), quotient(
% 5.23/5.60 X, Y ) ) ] )
% 5.23/5.60 , clause( 14142, [ =( difference( i( X ), quotient( eta( X ), Y ) ),
% 5.23/5.60 quotient( X, Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14145, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14146, [ =( quotient( eta( X ), Y ), product( i( X ), quotient( X,
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , clause( 1001, [ =( difference( i( X ), quotient( eta( X ), Y ) ),
% 5.23/5.60 quotient( X, Y ) ) ] )
% 5.23/5.60 , 0, clause( 14145, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, i( X ) ), :=( Y, quotient( eta( X ), Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14147, [ =( product( i( X ), quotient( X, Y ) ), quotient( eta( X )
% 5.23/5.60 , Y ) ) ] )
% 5.23/5.60 , clause( 14146, [ =( quotient( eta( X ), Y ), product( i( X ), quotient( X
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1007, [ =( product( i( X ), quotient( X, Y ) ), quotient( eta( X )
% 5.23/5.60 , Y ) ) ] )
% 5.23/5.60 , clause( 14147, [ =( product( i( X ), quotient( X, Y ) ), quotient( eta( X
% 5.23/5.60 ), Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14149, [ =( quotient( eta( X ), Y ), product( i( X ), quotient( X,
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , clause( 1007, [ =( product( i( X ), quotient( X, Y ) ), quotient( eta( X
% 5.23/5.60 ), Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14153, [ =( quotient( eta( j( X ) ), Y ), product( i( j( X ) ), j(
% 5.23/5.60 product( Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14149, [ =( quotient( eta( X ), Y ), product( i( X ), quotient(
% 5.23/5.60 X, Y ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, j( X ) ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14154, [ =( quotient( eta( j( X ) ), Y ), product( X, j( product( Y
% 5.23/5.60 , X ) ) ) ) ] )
% 5.23/5.60 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14153, [ =( quotient( eta( j( X ) ), Y ), product( i( j( X ) )
% 5.23/5.60 , j( product( Y, X ) ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14155, [ =( quotient( eta( X ), Y ), product( X, j( product( Y, X )
% 5.23/5.60 ) ) ) ] )
% 5.23/5.60 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.60 , 0, clause( 14154, [ =( quotient( eta( j( X ) ), Y ), product( X, j(
% 5.23/5.60 product( Y, X ) ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14156, [ =( product( X, j( product( Y, X ) ) ), quotient( eta( X )
% 5.23/5.60 , Y ) ) ] )
% 5.23/5.60 , clause( 14155, [ =( quotient( eta( X ), Y ), product( X, j( product( Y, X
% 5.23/5.60 ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1014, [ =( product( X, j( product( Y, X ) ) ), quotient( eta( X ),
% 5.23/5.60 Y ) ) ] )
% 5.23/5.60 , clause( 14156, [ =( product( X, j( product( Y, X ) ) ), quotient( eta( X
% 5.23/5.60 ), Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14158, [ =( quotient( eta( X ), Y ), product( i( X ), quotient( X,
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , clause( 1007, [ =( product( i( X ), quotient( X, Y ) ), quotient( eta( X
% 5.23/5.60 ), Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14160, [ =( quotient( eta( X ), difference( Y, X ) ), product( i( X
% 5.23/5.60 ), Y ) ) ] )
% 5.23/5.60 , clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14158, [ =( quotient( eta( X ), Y ), product( i( X ), quotient(
% 5.23/5.60 X, Y ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, difference( Y, X ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1017, [ =( quotient( eta( X ), difference( Y, X ) ), product( i( X
% 5.23/5.60 ), Y ) ) ] )
% 5.23/5.60 , clause( 14160, [ =( quotient( eta( X ), difference( Y, X ) ), product( i(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14164, [ =( product( i( X ), Y ), quotient( eta( X ), difference( Y
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , clause( 1017, [ =( quotient( eta( X ), difference( Y, X ) ), product( i(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14168, [ =( product( i( j( X ) ), j( Y ) ), quotient( eta( j( X ) )
% 5.23/5.60 , quotient( Y, X ) ) ) ] )
% 5.23/5.60 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.60 , 0, clause( 14164, [ =( product( i( X ), Y ), quotient( eta( X ),
% 5.23/5.60 difference( Y, X ) ) ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, j( X ) ), :=( Y, j( Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14169, [ =( product( i( j( X ) ), j( Y ) ), quotient( eta( X ),
% 5.23/5.60 quotient( Y, X ) ) ) ] )
% 5.23/5.60 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.23/5.60 , 0, clause( 14168, [ =( product( i( j( X ) ), j( Y ) ), quotient( eta( j(
% 5.23/5.60 X ) ), quotient( Y, X ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14170, [ =( product( X, j( Y ) ), quotient( eta( X ), quotient( Y,
% 5.23/5.60 X ) ) ) ] )
% 5.23/5.60 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14169, [ =( product( i( j( X ) ), j( Y ) ), quotient( eta( X )
% 5.23/5.60 , quotient( Y, X ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14171, [ =( quotient( eta( X ), quotient( Y, X ) ), product( X, j(
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , clause( 14170, [ =( product( X, j( Y ) ), quotient( eta( X ), quotient( Y
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1025, [ =( quotient( eta( Y ), quotient( X, Y ) ), product( Y, j( X
% 5.23/5.60 ) ) ) ] )
% 5.23/5.60 , clause( 14171, [ =( quotient( eta( X ), quotient( Y, X ) ), product( X, j(
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14173, [ =( product( X, j( Y ) ), quotient( eta( X ), quotient( Y,
% 5.23/5.60 X ) ) ) ] )
% 5.23/5.60 , clause( 1025, [ =( quotient( eta( Y ), quotient( X, Y ) ), product( Y, j(
% 5.23/5.60 X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14175, [ =( product( difference( X, Y ), j( Y ) ), quotient( eta(
% 5.23/5.60 difference( X, Y ) ), X ) ) ] )
% 5.23/5.60 , clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14173, [ =( product( X, j( Y ) ), quotient( eta( X ), quotient(
% 5.23/5.60 Y, X ) ) ) ] )
% 5.23/5.60 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, difference( X, Y ) ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14176, [ =( product( difference( X, Y ), j( Y ) ), difference( X,
% 5.23/5.60 eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 419, [ =( quotient( eta( difference( Y, X ) ), Y ), difference( Y
% 5.23/5.60 , eta( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14175, [ =( product( difference( X, Y ), j( Y ) ), quotient(
% 5.23/5.60 eta( difference( X, Y ) ), X ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1038, [ =( product( difference( Y, X ), j( X ) ), difference( Y,
% 5.23/5.60 eta( X ) ) ) ] )
% 5.23/5.60 , clause( 14176, [ =( product( difference( X, Y ), j( Y ) ), difference( X
% 5.23/5.60 , eta( Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14179, [ =( difference( X, eta( Y ) ), product( difference( X, Y )
% 5.23/5.60 , j( Y ) ) ) ] )
% 5.23/5.60 , clause( 1038, [ =( product( difference( Y, X ), j( X ) ), difference( Y,
% 5.23/5.60 eta( X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14181, [ =( difference( quotient( X, Y ), eta( X ) ), product( Y, j(
% 5.23/5.60 X ) ) ) ] )
% 5.23/5.60 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.23/5.60 , 0, clause( 14179, [ =( difference( X, eta( Y ) ), product( difference( X
% 5.23/5.60 , Y ), j( Y ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, quotient( X, Y ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1069, [ =( difference( quotient( X, Y ), eta( X ) ), product( Y, j(
% 5.23/5.60 X ) ) ) ] )
% 5.23/5.60 , clause( 14181, [ =( difference( quotient( X, Y ), eta( X ) ), product( Y
% 5.23/5.60 , j( X ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14185, [ =( product( Y, j( X ) ), difference( quotient( X, Y ), eta(
% 5.23/5.60 X ) ) ) ] )
% 5.23/5.60 , clause( 1069, [ =( difference( quotient( X, Y ), eta( X ) ), product( Y,
% 5.23/5.60 j( X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14188, [ =( product( X, j( i( Y ) ) ), difference( difference( Y, j(
% 5.23/5.60 X ) ), eta( i( Y ) ) ) ) ] )
% 5.23/5.60 , clause( 331, [ =( quotient( i( X ), Y ), difference( X, j( Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14185, [ =( product( Y, j( X ) ), difference( quotient( X, Y )
% 5.23/5.60 , eta( X ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, i( Y ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14189, [ =( product( X, j( i( Y ) ) ), difference( difference( Y, j(
% 5.23/5.60 X ) ), eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 51, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.23/5.60 , 0, clause( 14188, [ =( product( X, j( i( Y ) ) ), difference( difference(
% 5.23/5.60 Y, j( X ) ), eta( i( Y ) ) ) ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14190, [ =( product( X, Y ), difference( difference( Y, j( X ) ),
% 5.23/5.60 eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 34, [ =( j( i( X ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14189, [ =( product( X, j( i( Y ) ) ), difference( difference(
% 5.23/5.60 Y, j( X ) ), eta( Y ) ) ) ] )
% 5.23/5.60 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14191, [ =( difference( difference( Y, j( X ) ), eta( Y ) ),
% 5.23/5.60 product( X, Y ) ) ] )
% 5.23/5.60 , clause( 14190, [ =( product( X, Y ), difference( difference( Y, j( X ) )
% 5.23/5.60 , eta( Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1075, [ =( difference( difference( X, j( Y ) ), eta( X ) ), product(
% 5.23/5.60 Y, X ) ) ] )
% 5.23/5.60 , clause( 14191, [ =( difference( difference( Y, j( X ) ), eta( Y ) ),
% 5.23/5.60 product( X, Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14193, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 5.23/5.60 , clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14194, [ =( difference( X, j( Y ) ), quotient( eta( X ), product( Y
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , clause( 1075, [ =( difference( difference( X, j( Y ) ), eta( X ) ),
% 5.23/5.60 product( Y, X ) ) ] )
% 5.23/5.60 , 0, clause( 14193, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, eta( X ) ), :=( Y, difference( X, j( Y ) ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14195, [ =( quotient( eta( X ), product( Y, X ) ), difference( X, j(
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , clause( 14194, [ =( difference( X, j( Y ) ), quotient( eta( X ), product(
% 5.23/5.60 Y, X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1089, [ =( quotient( eta( X ), product( Y, X ) ), difference( X, j(
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , clause( 14195, [ =( quotient( eta( X ), product( Y, X ) ), difference( X
% 5.23/5.60 , j( Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14197, [ =( product( Y, X ), difference( difference( X, j( Y ) ),
% 5.23/5.60 eta( X ) ) ) ] )
% 5.23/5.60 , clause( 1075, [ =( difference( difference( X, j( Y ) ), eta( X ) ),
% 5.23/5.60 product( Y, X ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14198, [ =( product( i( X ), Y ), difference( difference( Y, X ),
% 5.23/5.60 eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 34, [ =( j( i( X ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14197, [ =( product( Y, X ), difference( difference( X, j( Y )
% 5.23/5.60 ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 5.23/5.60 :=( Y, i( X ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14199, [ =( difference( difference( Y, X ), eta( Y ) ), product( i(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , clause( 14198, [ =( product( i( X ), Y ), difference( difference( Y, X )
% 5.23/5.60 , eta( Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1090, [ =( difference( difference( Y, X ), eta( Y ) ), product( i(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , clause( 14199, [ =( difference( difference( Y, X ), eta( Y ) ), product(
% 5.23/5.60 i( X ), Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14201, [ =( difference( X, j( Y ) ), quotient( eta( X ), product( Y
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , clause( 1089, [ =( quotient( eta( X ), product( Y, X ) ), difference( X,
% 5.23/5.60 j( Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14206, [ =( difference( quotient( X, Y ), j( i( X ) ) ), quotient(
% 5.23/5.60 eta( quotient( X, Y ) ), quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.60 , clause( 1007, [ =( product( i( X ), quotient( X, Y ) ), quotient( eta( X
% 5.23/5.60 ), Y ) ) ] )
% 5.23/5.60 , 0, clause( 14201, [ =( difference( X, j( Y ) ), quotient( eta( X ),
% 5.23/5.60 product( Y, X ) ) ) ] )
% 5.23/5.60 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, quotient( X, Y ) ), :=( Y, i( X ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14207, [ =( difference( quotient( X, Y ), X ), quotient( eta(
% 5.23/5.60 quotient( X, Y ) ), quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.60 , clause( 34, [ =( j( i( X ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14206, [ =( difference( quotient( X, Y ), j( i( X ) ) ),
% 5.23/5.60 quotient( eta( quotient( X, Y ) ), quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.60 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14208, [ =( Y, quotient( eta( quotient( X, Y ) ), quotient( eta( X
% 5.23/5.60 ), Y ) ) ) ] )
% 5.23/5.60 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.23/5.60 , 0, clause( 14207, [ =( difference( quotient( X, Y ), X ), quotient( eta(
% 5.23/5.60 quotient( X, Y ) ), quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14209, [ =( quotient( eta( quotient( Y, X ) ), quotient( eta( Y ),
% 5.23/5.60 X ) ), X ) ] )
% 5.23/5.60 , clause( 14208, [ =( Y, quotient( eta( quotient( X, Y ) ), quotient( eta(
% 5.23/5.60 X ), Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1091, [ =( quotient( eta( quotient( X, Y ) ), quotient( eta( X ), Y
% 5.23/5.60 ) ), Y ) ] )
% 5.23/5.60 , clause( 14209, [ =( quotient( eta( quotient( Y, X ) ), quotient( eta( Y )
% 5.23/5.60 , X ) ), X ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14211, [ =( difference( X, j( Y ) ), quotient( eta( X ), product( Y
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , clause( 1089, [ =( quotient( eta( X ), product( Y, X ) ), difference( X,
% 5.23/5.60 j( Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14213, [ =( difference( difference( X, Y ), j( X ) ), quotient( eta(
% 5.23/5.60 difference( X, Y ) ), Y ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14211, [ =( difference( X, j( Y ) ), quotient( eta( X ),
% 5.23/5.60 product( Y, X ) ) ) ] )
% 5.23/5.60 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, difference( X, Y ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14214, [ =( difference( Y, eta( X ) ), quotient( eta( difference( X
% 5.23/5.60 , Y ) ), Y ) ) ] )
% 5.23/5.60 , clause( 851, [ =( difference( difference( X, Y ), j( X ) ), difference( Y
% 5.23/5.60 , eta( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14213, [ =( difference( difference( X, Y ), j( X ) ), quotient(
% 5.23/5.60 eta( difference( X, Y ) ), Y ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14215, [ =( quotient( eta( difference( Y, X ) ), X ), difference( X
% 5.23/5.60 , eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 14214, [ =( difference( Y, eta( X ) ), quotient( eta( difference(
% 5.23/5.60 X, Y ) ), Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1096, [ =( quotient( eta( difference( X, Y ) ), Y ), difference( Y
% 5.23/5.60 , eta( X ) ) ) ] )
% 5.23/5.60 , clause( 14215, [ =( quotient( eta( difference( Y, X ) ), X ), difference(
% 5.23/5.60 X, eta( Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14217, [ =( difference( X, j( Y ) ), quotient( eta( X ), product( Y
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , clause( 1089, [ =( quotient( eta( X ), product( Y, X ) ), difference( X,
% 5.23/5.60 j( Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14220, [ =( difference( X, j( quotient( Y, X ) ) ), quotient( eta(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.60 , 0, clause( 14217, [ =( difference( X, j( Y ) ), quotient( eta( X ),
% 5.23/5.60 product( Y, X ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, quotient( Y, X ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1097, [ =( difference( Y, j( quotient( X, Y ) ) ), quotient( eta( Y
% 5.23/5.60 ), X ) ) ] )
% 5.23/5.60 , clause( 14220, [ =( difference( X, j( quotient( Y, X ) ) ), quotient( eta(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14223, [ =( t( quotient( X, Y ), Y ), quotient( X, quotient( X, Y )
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , clause( 73, [ =( quotient( X, quotient( X, Y ) ), t( quotient( X, Y ), Y
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14229, [ =( t( quotient( eta( quotient( X, Y ) ), quotient( eta( X
% 5.23/5.60 ), Y ) ), quotient( eta( X ), Y ) ), quotient( eta( quotient( X, Y ) ),
% 5.23/5.60 Y ) ) ] )
% 5.23/5.60 , clause( 1091, [ =( quotient( eta( quotient( X, Y ) ), quotient( eta( X )
% 5.23/5.60 , Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14223, [ =( t( quotient( X, Y ), Y ), quotient( X, quotient( X
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , 0, 20, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, eta( quotient( X, Y ) ) ), :=( Y, quotient( eta( X ), Y ) )] )
% 5.23/5.60 ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14230, [ =( t( Y, quotient( eta( X ), Y ) ), quotient( eta(
% 5.23/5.60 quotient( X, Y ) ), Y ) ) ] )
% 5.23/5.60 , clause( 1091, [ =( quotient( eta( quotient( X, Y ) ), quotient( eta( X )
% 5.23/5.60 , Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14229, [ =( t( quotient( eta( quotient( X, Y ) ), quotient(
% 5.23/5.60 eta( X ), Y ) ), quotient( eta( X ), Y ) ), quotient( eta( quotient( X, Y
% 5.23/5.60 ) ), Y ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1124, [ =( t( Y, quotient( eta( X ), Y ) ), quotient( eta( quotient(
% 5.23/5.60 X, Y ) ), Y ) ) ] )
% 5.23/5.60 , clause( 14230, [ =( t( Y, quotient( eta( X ), Y ) ), quotient( eta(
% 5.23/5.60 quotient( X, Y ) ), Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14235, [ =( Y, quotient( eta( quotient( X, Y ) ), quotient( eta( X
% 5.23/5.60 ), Y ) ) ) ] )
% 5.23/5.60 , clause( 1091, [ =( quotient( eta( quotient( X, Y ) ), quotient( eta( X )
% 5.23/5.60 , Y ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14238, [ =( X, quotient( eta( difference( Y, j( X ) ) ), quotient(
% 5.23/5.60 eta( i( Y ) ), X ) ) ) ] )
% 5.23/5.60 , clause( 331, [ =( quotient( i( X ), Y ), difference( X, j( Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14235, [ =( Y, quotient( eta( quotient( X, Y ) ), quotient(
% 5.23/5.60 eta( X ), Y ) ) ) ] )
% 5.23/5.60 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, i( Y ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14239, [ =( X, quotient( eta( product( X, Y ) ), quotient( eta( i(
% 5.23/5.60 Y ) ), X ) ) ) ] )
% 5.23/5.60 , clause( 834, [ =( eta( difference( Y, j( X ) ) ), eta( product( X, Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, clause( 14238, [ =( X, quotient( eta( difference( Y, j( X ) ) ),
% 5.23/5.60 quotient( eta( i( Y ) ), X ) ) ) ] )
% 5.23/5.60 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14240, [ =( X, quotient( eta( product( X, Y ) ), quotient( eta( Y )
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , clause( 51, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.23/5.60 , 0, clause( 14239, [ =( X, quotient( eta( product( X, Y ) ), quotient( eta(
% 5.23/5.60 i( Y ) ), X ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14241, [ =( quotient( eta( product( X, Y ) ), quotient( eta( Y ), X
% 5.23/5.60 ) ), X ) ] )
% 5.23/5.60 , clause( 14240, [ =( X, quotient( eta( product( X, Y ) ), quotient( eta( Y
% 5.23/5.60 ), X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1127, [ =( quotient( eta( product( Y, X ) ), quotient( eta( X ), Y
% 5.23/5.60 ) ), Y ) ] )
% 5.23/5.60 , clause( 14241, [ =( quotient( eta( product( X, Y ) ), quotient( eta( Y )
% 5.23/5.60 , X ) ), X ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14243, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.60 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14244, [ =( eta( quotient( X, Y ) ), product( Y, quotient( eta( X )
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , clause( 1091, [ =( quotient( eta( quotient( X, Y ) ), quotient( eta( X )
% 5.23/5.60 , Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14243, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.60 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, eta( quotient( X, Y ) ) ), :=( Y, quotient( eta( X ), Y ) )] )
% 5.23/5.60 ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14245, [ =( product( Y, quotient( eta( X ), Y ) ), eta( quotient( X
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , clause( 14244, [ =( eta( quotient( X, Y ) ), product( Y, quotient( eta( X
% 5.23/5.60 ), Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1128, [ =( product( Y, quotient( eta( X ), Y ) ), eta( quotient( X
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , clause( 14245, [ =( product( Y, quotient( eta( X ), Y ) ), eta( quotient(
% 5.23/5.60 X, Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14247, [ =( t( quotient( X, Y ), Y ), quotient( X, quotient( X, Y )
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , clause( 73, [ =( quotient( X, quotient( X, Y ) ), t( quotient( X, Y ), Y
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14252, [ =( t( quotient( eta( product( X, Y ) ), quotient( eta( Y )
% 5.23/5.60 , X ) ), quotient( eta( Y ), X ) ), quotient( eta( product( X, Y ) ), X )
% 5.23/5.60 ) ] )
% 5.23/5.60 , clause( 1127, [ =( quotient( eta( product( Y, X ) ), quotient( eta( X ),
% 5.23/5.60 Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14247, [ =( t( quotient( X, Y ), Y ), quotient( X, quotient( X
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , 0, 20, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, eta( product( X, Y ) ) ), :=( Y, quotient( eta( Y ), X ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14253, [ =( t( X, quotient( eta( Y ), X ) ), quotient( eta( product(
% 5.23/5.60 X, Y ) ), X ) ) ] )
% 5.23/5.60 , clause( 1127, [ =( quotient( eta( product( Y, X ) ), quotient( eta( X ),
% 5.23/5.60 Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14252, [ =( t( quotient( eta( product( X, Y ) ), quotient( eta(
% 5.23/5.60 Y ), X ) ), quotient( eta( Y ), X ) ), quotient( eta( product( X, Y ) ),
% 5.23/5.60 X ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14255, [ =( t( X, quotient( eta( Y ), X ) ), difference( X, eta( t(
% 5.23/5.60 X, Y ) ) ) ) ] )
% 5.23/5.60 , clause( 424, [ =( quotient( eta( product( X, Y ) ), X ), difference( X,
% 5.23/5.60 eta( t( X, Y ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14253, [ =( t( X, quotient( eta( Y ), X ) ), quotient( eta(
% 5.23/5.60 product( X, Y ) ), X ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14256, [ =( quotient( eta( quotient( Y, X ) ), X ), difference( X,
% 5.23/5.60 eta( t( X, Y ) ) ) ) ] )
% 5.23/5.60 , clause( 1124, [ =( t( Y, quotient( eta( X ), Y ) ), quotient( eta(
% 5.23/5.60 quotient( X, Y ) ), Y ) ) ] )
% 5.23/5.60 , 0, clause( 14255, [ =( t( X, quotient( eta( Y ), X ) ), difference( X,
% 5.23/5.60 eta( t( X, Y ) ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1145, [ =( quotient( eta( quotient( Y, X ) ), X ), difference( X,
% 5.23/5.60 eta( t( X, Y ) ) ) ) ] )
% 5.23/5.60 , clause( 14256, [ =( quotient( eta( quotient( Y, X ) ), X ), difference( X
% 5.23/5.60 , eta( t( X, Y ) ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14259, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.60 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14262, [ =( eta( product( X, Y ) ), product( X, quotient( eta( Y )
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , clause( 1127, [ =( quotient( eta( product( Y, X ) ), quotient( eta( X ),
% 5.23/5.60 Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14259, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.23/5.60 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, eta( product( X, Y ) ) ), :=( Y, quotient( eta( Y ), X ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14263, [ =( eta( product( X, Y ) ), eta( quotient( Y, X ) ) ) ] )
% 5.23/5.60 , clause( 1128, [ =( product( Y, quotient( eta( X ), Y ) ), eta( quotient(
% 5.23/5.60 X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14262, [ =( eta( product( X, Y ) ), product( X, quotient( eta(
% 5.23/5.60 Y ), X ) ) ) ] )
% 5.23/5.60 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14264, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 14263, [ =( eta( product( X, Y ) ), eta( quotient( Y, X ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1149, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 14264, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14266, [ =( eta( product( Y, X ) ), eta( quotient( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 1149, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14267, [ =( eta( product( difference( X, Y ), Y ) ), eta( X ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14266, [ =( eta( product( Y, X ) ), eta( quotient( X, Y ) ) )
% 5.23/5.60 ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, Y ), :=( Y, difference( X, Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1174, [ =( eta( product( difference( Y, X ), X ) ), eta( Y ) ) ] )
% 5.23/5.60 , clause( 14267, [ =( eta( product( difference( X, Y ), Y ) ), eta( X ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14270, [ =( difference( Y, eta( X ) ), quotient( eta( product( X, Y
% 5.23/5.60 ) ), Y ) ) ] )
% 5.23/5.60 , clause( 45, [ =( quotient( eta( product( X, Y ) ), Y ), difference( Y,
% 5.23/5.60 eta( X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14272, [ =( difference( X, eta( difference( Y, X ) ) ), quotient(
% 5.23/5.60 eta( Y ), X ) ) ] )
% 5.23/5.60 , clause( 1174, [ =( eta( product( difference( Y, X ), X ) ), eta( Y ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , 0, clause( 14270, [ =( difference( Y, eta( X ) ), quotient( eta( product(
% 5.23/5.60 X, Y ) ), Y ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, difference( Y, X ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1186, [ =( difference( Y, eta( difference( X, Y ) ) ), quotient(
% 5.23/5.60 eta( X ), Y ) ) ] )
% 5.23/5.60 , clause( 14272, [ =( difference( X, eta( difference( Y, X ) ) ), quotient(
% 5.23/5.60 eta( Y ), X ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14276, [ =( quotient( Y, X ), t( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 71, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14280, [ =( quotient( eta( difference( X, Y ) ), Y ), t( Y,
% 5.23/5.60 quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.60 , clause( 1186, [ =( difference( Y, eta( difference( X, Y ) ) ), quotient(
% 5.23/5.60 eta( X ), Y ) ) ] )
% 5.23/5.60 , 0, clause( 14276, [ =( quotient( Y, X ), t( X, difference( X, Y ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, Y ), :=( Y, eta( difference( X, Y ) ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14281, [ =( quotient( eta( difference( X, Y ) ), Y ), quotient( eta(
% 5.23/5.60 quotient( X, Y ) ), Y ) ) ] )
% 5.23/5.60 , clause( 1124, [ =( t( Y, quotient( eta( X ), Y ) ), quotient( eta(
% 5.23/5.60 quotient( X, Y ) ), Y ) ) ] )
% 5.23/5.60 , 0, clause( 14280, [ =( quotient( eta( difference( X, Y ) ), Y ), t( Y,
% 5.23/5.60 quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14282, [ =( quotient( eta( difference( X, Y ) ), Y ), difference( Y
% 5.23/5.60 , eta( t( Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 1145, [ =( quotient( eta( quotient( Y, X ) ), X ), difference( X
% 5.23/5.60 , eta( t( X, Y ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14281, [ =( quotient( eta( difference( X, Y ) ), Y ), quotient(
% 5.23/5.60 eta( quotient( X, Y ) ), Y ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14283, [ =( difference( Y, eta( X ) ), difference( Y, eta( t( Y, X
% 5.23/5.60 ) ) ) ) ] )
% 5.23/5.60 , clause( 1096, [ =( quotient( eta( difference( X, Y ) ), Y ), difference(
% 5.23/5.60 Y, eta( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14282, [ =( quotient( eta( difference( X, Y ) ), Y ),
% 5.23/5.60 difference( Y, eta( t( Y, X ) ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14284, [ =( difference( X, eta( t( X, Y ) ) ), difference( X, eta(
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , clause( 14283, [ =( difference( Y, eta( X ) ), difference( Y, eta( t( Y,
% 5.23/5.60 X ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1376, [ =( difference( X, eta( t( X, Y ) ) ), difference( X, eta( Y
% 5.23/5.60 ) ) ) ] )
% 5.23/5.60 , clause( 14284, [ =( difference( X, eta( t( X, Y ) ) ), difference( X, eta(
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14286, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14289, [ =( eta( difference( X, Y ) ), product( Y, quotient( eta( X
% 5.23/5.60 ), Y ) ) ) ] )
% 5.23/5.60 , clause( 1186, [ =( difference( Y, eta( difference( X, Y ) ) ), quotient(
% 5.23/5.60 eta( X ), Y ) ) ] )
% 5.23/5.60 , 0, clause( 14286, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, Y ), :=( Y, eta( difference( X, Y ) ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14290, [ =( eta( difference( X, Y ) ), eta( quotient( X, Y ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , clause( 1128, [ =( product( Y, quotient( eta( X ), Y ) ), eta( quotient(
% 5.23/5.60 X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14289, [ =( eta( difference( X, Y ) ), product( Y, quotient(
% 5.23/5.60 eta( X ), Y ) ) ) ] )
% 5.23/5.60 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14291, [ =( eta( difference( X, Y ) ), eta( product( Y, X ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , clause( 1149, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14290, [ =( eta( difference( X, Y ) ), eta( quotient( X, Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1379, [ =( eta( difference( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 14291, [ =( eta( difference( X, Y ) ), eta( product( Y, X ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14294, [ =( eta( Y ), difference( i( X ), difference( X, eta( Y ) )
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , clause( 471, [ =( difference( i( X ), difference( X, eta( Y ) ) ), eta( Y
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14296, [ =( eta( t( X, Y ) ), difference( i( X ), difference( X,
% 5.23/5.60 eta( Y ) ) ) ) ] )
% 5.23/5.60 , clause( 1376, [ =( difference( X, eta( t( X, Y ) ) ), difference( X, eta(
% 5.23/5.60 Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14294, [ =( eta( Y ), difference( i( X ), difference( X, eta(
% 5.23/5.60 Y ) ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, t( X, Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14297, [ =( eta( t( X, Y ) ), eta( Y ) ) ] )
% 5.23/5.60 , clause( 471, [ =( difference( i( X ), difference( X, eta( Y ) ) ), eta( Y
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , 0, clause( 14296, [ =( eta( t( X, Y ) ), difference( i( X ), difference(
% 5.23/5.60 X, eta( Y ) ) ) ) ] )
% 5.23/5.60 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1523, [ =( eta( t( X, Y ) ), eta( Y ) ) ] )
% 5.23/5.60 , clause( 14297, [ =( eta( t( X, Y ) ), eta( Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14300, [ =( eta( Y ), eta( t( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 1523, [ =( eta( t( X, Y ) ), eta( Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14303, [ =( eta( difference( X, Y ) ), eta( quotient( Y, X ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , clause( 71, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.23/5.60 , 0, clause( 14300, [ =( eta( Y ), eta( t( X, Y ) ) ) ] )
% 5.23/5.60 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14304, [ =( eta( difference( X, Y ) ), eta( product( X, Y ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , clause( 1149, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14303, [ =( eta( difference( X, Y ) ), eta( quotient( Y, X ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14305, [ =( eta( product( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 1379, [ =( eta( difference( Y, X ) ), eta( product( X, Y ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , 0, clause( 14304, [ =( eta( difference( X, Y ) ), eta( product( X, Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1551, [ =( eta( product( X, Y ) ), eta( product( Y, X ) ) ) ] )
% 5.23/5.60 , clause( 14305, [ =( eta( product( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14309, [ =( eta( product( X, difference( X, product( product( X, Y
% 5.23/5.60 ), Z ) ) ) ), eta( product( Y, product( Z, X ) ) ) ) ] )
% 5.23/5.60 , clause( 42, [ =( product( difference( Z, product( product( Z, X ), Y ) )
% 5.23/5.60 , Z ), product( X, product( Y, Z ) ) ) ] )
% 5.23/5.60 , 0, clause( 1551, [ =( eta( product( X, Y ) ), eta( product( Y, X ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, difference( X, product( product( X
% 5.23/5.60 , Y ), Z ) ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14310, [ =( eta( product( product( X, Y ), Z ) ), eta( product( Y,
% 5.23/5.60 product( Z, X ) ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14309, [ =( eta( product( X, difference( X, product( product(
% 5.23/5.60 X, Y ), Z ) ) ) ), eta( product( Y, product( Z, X ) ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, product( product( X, Y ), Z )
% 5.23/5.60 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14311, [ =( eta( product( Y, product( Z, X ) ) ), eta( product(
% 5.23/5.60 product( X, Y ), Z ) ) ) ] )
% 5.23/5.60 , clause( 14310, [ =( eta( product( product( X, Y ), Z ) ), eta( product( Y
% 5.23/5.60 , product( Z, X ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1577, [ =( eta( product( Y, product( Z, X ) ) ), eta( product(
% 5.23/5.60 product( X, Y ), Z ) ) ) ] )
% 5.23/5.60 , clause( 14311, [ =( eta( product( Y, product( Z, X ) ) ), eta( product(
% 5.23/5.60 product( X, Y ), Z ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14312, [ =( X, difference( i( X ), eta( X ) ) ) ] )
% 5.23/5.60 , clause( 49, [ =( difference( i( X ), eta( X ) ), X ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14313, [ =( product( X, Y ), difference( i( product( X, Y ) ), eta(
% 5.23/5.60 product( Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 1551, [ =( eta( product( X, Y ) ), eta( product( Y, X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14312, [ =( X, difference( i( X ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, product( X, Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14316, [ =( difference( i( product( X, Y ) ), eta( product( Y, X )
% 5.23/5.60 ) ), product( X, Y ) ) ] )
% 5.23/5.60 , clause( 14313, [ =( product( X, Y ), difference( i( product( X, Y ) ),
% 5.23/5.60 eta( product( Y, X ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1584, [ =( difference( i( product( X, Y ) ), eta( product( Y, X ) )
% 5.23/5.60 ), product( X, Y ) ) ] )
% 5.23/5.60 , clause( 14316, [ =( difference( i( product( X, Y ) ), eta( product( Y, X
% 5.23/5.60 ) ) ), product( X, Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14318, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14323, [ =( product( product( X, eta( Y ) ), Z ), product( X,
% 5.23/5.60 product( eta( Y ), Z ) ) ) ] )
% 5.23/5.60 , clause( 127, [ =( difference( Z, product( product( Z, eta( X ) ), Y ) ),
% 5.23/5.60 product( eta( X ), Y ) ) ] )
% 5.23/5.60 , 0, clause( 14318, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, product( product( X, eta( Y ) ), Z
% 5.23/5.60 ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14324, [ =( product( X, product( eta( Y ), Z ) ), product( product(
% 5.23/5.60 X, eta( Y ) ), Z ) ) ] )
% 5.23/5.60 , clause( 14323, [ =( product( product( X, eta( Y ) ), Z ), product( X,
% 5.23/5.60 product( eta( Y ), Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 1698, [ =( product( X, product( eta( Y ), Z ) ), product( product(
% 5.23/5.60 X, eta( Y ) ), Z ) ) ] )
% 5.23/5.60 , clause( 14324, [ =( product( X, product( eta( Y ), Z ) ), product(
% 5.23/5.60 product( X, eta( Y ) ), Z ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14327, [ =( product( X, quotient( eta( Y ), X ) ), eta( product( X
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , clause( 1149, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 1128, [ =( product( Y, quotient( eta( X ), Y ) ), eta(
% 5.23/5.60 quotient( X, Y ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 2179, [ =( product( Y, quotient( eta( X ), Y ) ), eta( product( Y,
% 5.23/5.60 X ) ) ) ] )
% 5.23/5.60 , clause( 14327, [ =( product( X, quotient( eta( Y ), X ) ), eta( product(
% 5.23/5.60 X, Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14330, [ =( eta( product( X, Y ) ), product( X, quotient( eta( Y )
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , clause( 2179, [ =( product( Y, quotient( eta( X ), Y ) ), eta( product( Y
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14334, [ =( eta( product( X, quotient( Y, Z ) ) ), product( X,
% 5.23/5.60 quotient( eta( product( Z, Y ) ), X ) ) ) ] )
% 5.23/5.60 , clause( 1149, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14330, [ =( eta( product( X, Y ) ), product( X, quotient( eta(
% 5.23/5.60 Y ), X ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, quotient( Y, Z ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14335, [ =( eta( product( X, quotient( Y, Z ) ) ), eta( product( X
% 5.23/5.60 , product( Z, Y ) ) ) ) ] )
% 5.23/5.60 , clause( 2179, [ =( product( Y, quotient( eta( X ), Y ) ), eta( product( Y
% 5.23/5.60 , X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14334, [ =( eta( product( X, quotient( Y, Z ) ) ), product( X
% 5.23/5.60 , quotient( eta( product( Z, Y ) ), X ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, product( Z, Y ) ), :=( Y, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14336, [ =( eta( product( X, quotient( Y, Z ) ) ), eta( product(
% 5.23/5.60 product( Y, X ), Z ) ) ) ] )
% 5.23/5.60 , clause( 1577, [ =( eta( product( Y, product( Z, X ) ) ), eta( product(
% 5.23/5.60 product( X, Y ), Z ) ) ) ] )
% 5.23/5.60 , 0, clause( 14335, [ =( eta( product( X, quotient( Y, Z ) ) ), eta(
% 5.23/5.60 product( X, product( Z, Y ) ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 2218, [ =( eta( product( Z, quotient( X, Y ) ) ), eta( product(
% 5.23/5.60 product( X, Z ), Y ) ) ) ] )
% 5.23/5.60 , clause( 14336, [ =( eta( product( X, quotient( Y, Z ) ) ), eta( product(
% 5.23/5.60 product( Y, X ), Z ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14339, [ =( difference( Y, eta( X ) ), difference( difference( i( X
% 5.23/5.60 ), Y ), X ) ) ] )
% 5.23/5.60 , clause( 965, [ =( difference( difference( i( X ), Y ), X ), difference( Y
% 5.23/5.60 , eta( X ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14345, [ =( difference( j( quotient( X, i( Y ) ) ), eta( Y ) ),
% 5.23/5.60 difference( quotient( eta( i( Y ) ), X ), Y ) ) ] )
% 5.23/5.60 , clause( 1097, [ =( difference( Y, j( quotient( X, Y ) ) ), quotient( eta(
% 5.23/5.60 Y ), X ) ) ] )
% 5.23/5.60 , 0, clause( 14339, [ =( difference( Y, eta( X ) ), difference( difference(
% 5.23/5.60 i( X ), Y ), X ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, i( Y ) )] ), substitution( 1
% 5.23/5.60 , [ :=( X, Y ), :=( Y, j( quotient( X, i( Y ) ) ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14346, [ =( difference( j( quotient( X, i( Y ) ) ), eta( Y ) ),
% 5.23/5.60 difference( quotient( eta( Y ), X ), Y ) ) ] )
% 5.23/5.60 , clause( 51, [ =( eta( i( X ) ), eta( X ) ) ] )
% 5.23/5.60 , 0, clause( 14345, [ =( difference( j( quotient( X, i( Y ) ) ), eta( Y ) )
% 5.23/5.60 , difference( quotient( eta( i( Y ) ), X ), Y ) ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14347, [ =( product( quotient( X, i( Y ) ), eta( Y ) ), difference(
% 5.23/5.60 quotient( eta( Y ), X ), Y ) ) ] )
% 5.23/5.60 , clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, clause( 14346, [ =( difference( j( quotient( X, i( Y ) ) ), eta( Y ) )
% 5.23/5.60 , difference( quotient( eta( Y ), X ), Y ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, quotient( X, i( Y ) ) ), :=( Y, Y )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14348, [ =( product( difference( j( X ), Y ), eta( Y ) ),
% 5.23/5.60 difference( quotient( eta( Y ), X ), Y ) ) ] )
% 5.23/5.60 , clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.23/5.60 , 0, clause( 14347, [ =( product( quotient( X, i( Y ) ), eta( Y ) ),
% 5.23/5.60 difference( quotient( eta( Y ), X ), Y ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14349, [ =( difference( j( X ), j( j( Y ) ) ), difference( quotient(
% 5.23/5.60 eta( Y ), X ), Y ) ) ] )
% 5.23/5.60 , clause( 841, [ =( product( difference( Y, X ), eta( X ) ), difference( Y
% 5.23/5.60 , j( j( X ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14348, [ =( product( difference( j( X ), Y ), eta( Y ) ),
% 5.23/5.60 difference( quotient( eta( Y ), X ), Y ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, j( X ) )] ), substitution( 1
% 5.23/5.60 , [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14350, [ =( quotient( X, j( Y ) ), difference( quotient( eta( Y ),
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.60 , 0, clause( 14349, [ =( difference( j( X ), j( j( Y ) ) ), difference(
% 5.23/5.60 quotient( eta( Y ), X ), Y ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, j( Y ) )] ), substitution( 1
% 5.23/5.60 , [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14351, [ =( difference( quotient( eta( Y ), X ), Y ), quotient( X,
% 5.23/5.60 j( Y ) ) ) ] )
% 5.23/5.60 , clause( 14350, [ =( quotient( X, j( Y ) ), difference( quotient( eta( Y )
% 5.23/5.60 , X ), Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 2320, [ =( difference( quotient( eta( X ), Y ), X ), quotient( Y, j(
% 5.23/5.60 X ) ) ) ] )
% 5.23/5.60 , clause( 14351, [ =( difference( quotient( eta( Y ), X ), Y ), quotient( X
% 5.23/5.60 , j( Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14353, [ =( X, product( difference( i( X ), Y ), difference( Y, eta(
% 5.23/5.60 X ) ) ) ) ] )
% 5.23/5.60 , clause( 995, [ =( product( difference( i( X ), Y ), difference( Y, eta( X
% 5.23/5.60 ) ) ), X ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14354, [ =( X, product( difference( i( X ), quotient( X, Y ) ),
% 5.23/5.60 product( Y, j( X ) ) ) ) ] )
% 5.23/5.60 , clause( 1069, [ =( difference( quotient( X, Y ), eta( X ) ), product( Y,
% 5.23/5.60 j( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14353, [ =( X, product( difference( i( X ), Y ), difference( Y
% 5.23/5.60 , eta( X ) ) ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, quotient( X, Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14355, [ =( product( difference( i( X ), quotient( X, Y ) ),
% 5.23/5.60 product( Y, j( X ) ) ), X ) ] )
% 5.23/5.60 , clause( 14354, [ =( X, product( difference( i( X ), quotient( X, Y ) ),
% 5.23/5.60 product( Y, j( X ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 2499, [ =( product( difference( i( X ), quotient( X, Y ) ), product(
% 5.23/5.60 Y, j( X ) ) ), X ) ] )
% 5.23/5.60 , clause( 14355, [ =( product( difference( i( X ), quotient( X, Y ) ),
% 5.23/5.60 product( Y, j( X ) ) ), X ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14357, [ =( X, difference( difference( X, eta( Y ) ), eta( product(
% 5.23/5.60 Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 323, [ =( difference( difference( Y, eta( X ) ), eta( product( X
% 5.23/5.60 , Y ) ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14365, [ =( quotient( eta( eta( X ) ), Y ), difference( quotient( Y
% 5.23/5.60 , j( eta( X ) ) ), eta( product( X, quotient( eta( eta( X ) ), Y ) ) ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , clause( 2320, [ =( difference( quotient( eta( X ), Y ), X ), quotient( Y
% 5.23/5.60 , j( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14357, [ =( X, difference( difference( X, eta( Y ) ), eta(
% 5.23/5.60 product( Y, X ) ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, eta( X ) ), :=( Y, Y )] ), substitution(
% 5.23/5.60 1, [ :=( X, quotient( eta( eta( X ) ), Y ) ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14366, [ =( quotient( eta( eta( X ) ), Y ), difference( quotient( Y
% 5.23/5.60 , i( eta( X ) ) ), eta( product( X, quotient( eta( eta( X ) ), Y ) ) ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , clause( 232, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14365, [ =( quotient( eta( eta( X ) ), Y ), difference(
% 5.23/5.60 quotient( Y, j( eta( X ) ) ), eta( product( X, quotient( eta( eta( X ) )
% 5.23/5.60 , Y ) ) ) ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14367, [ =( quotient( eta( eta( X ) ), Y ), difference( difference(
% 5.23/5.60 j( Y ), eta( X ) ), eta( product( X, quotient( eta( eta( X ) ), Y ) ) ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.23/5.60 , 0, clause( 14366, [ =( quotient( eta( eta( X ) ), Y ), difference(
% 5.23/5.60 quotient( Y, i( eta( X ) ) ), eta( product( X, quotient( eta( eta( X ) )
% 5.23/5.60 , Y ) ) ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, eta( X ) ), :=( Y, Y )] ), substitution(
% 5.23/5.60 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14368, [ =( quotient( eta( eta( X ) ), Y ), difference( product( Y
% 5.23/5.60 , eta( X ) ), eta( product( X, quotient( eta( eta( X ) ), Y ) ) ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, clause( 14367, [ =( quotient( eta( eta( X ) ), Y ), difference(
% 5.23/5.60 difference( j( Y ), eta( X ) ), eta( product( X, quotient( eta( eta( X )
% 5.23/5.60 ), Y ) ) ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14369, [ =( quotient( eta( eta( X ) ), Y ), difference( product( Y
% 5.23/5.60 , eta( X ) ), eta( product( product( eta( eta( X ) ), X ), Y ) ) ) ) ] )
% 5.23/5.60 , clause( 2218, [ =( eta( product( Z, quotient( X, Y ) ) ), eta( product(
% 5.23/5.60 product( X, Z ), Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14368, [ =( quotient( eta( eta( X ) ), Y ), difference(
% 5.23/5.60 product( Y, eta( X ) ), eta( product( X, quotient( eta( eta( X ) ), Y ) )
% 5.23/5.60 ) ) ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, eta( eta( X ) ) ), :=( Y, Y ), :=( Z, X
% 5.23/5.60 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14370, [ =( quotient( eta( eta( X ) ), Y ), difference( product( Y
% 5.23/5.60 , eta( X ) ), eta( product( X, Y ) ) ) ) ] )
% 5.23/5.60 , clause( 734, [ =( eta( product( product( eta( Z ), X ), Y ) ), eta(
% 5.23/5.60 product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14369, [ =( quotient( eta( eta( X ) ), Y ), difference(
% 5.23/5.60 product( Y, eta( X ) ), eta( product( product( eta( eta( X ) ), X ), Y )
% 5.23/5.60 ) ) ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, eta( X ) )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14371, [ =( quotient( one, Y ), difference( product( Y, eta( X ) )
% 5.23/5.60 , eta( product( X, Y ) ) ) ) ] )
% 5.23/5.60 , clause( 242, [ =( eta( eta( X ) ), one ) ] )
% 5.23/5.60 , 0, clause( 14370, [ =( quotient( eta( eta( X ) ), Y ), difference(
% 5.23/5.60 product( Y, eta( X ) ), eta( product( X, Y ) ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14372, [ =( j( X ), difference( product( X, eta( Y ) ), eta(
% 5.23/5.60 product( Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.23/5.60 , 0, clause( 14371, [ =( quotient( one, Y ), difference( product( Y, eta( X
% 5.23/5.60 ) ), eta( product( X, Y ) ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 5.23/5.60 :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14373, [ =( difference( product( X, eta( Y ) ), eta( product( Y, X
% 5.23/5.60 ) ) ), j( X ) ) ] )
% 5.23/5.60 , clause( 14372, [ =( j( X ), difference( product( X, eta( Y ) ), eta(
% 5.23/5.60 product( Y, X ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 2938, [ =( difference( product( Y, eta( X ) ), eta( product( X, Y )
% 5.23/5.60 ) ), j( Y ) ) ] )
% 5.23/5.60 , clause( 14373, [ =( difference( product( X, eta( Y ) ), eta( product( Y,
% 5.23/5.60 X ) ) ), j( X ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.23/5.60 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14375, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14378, [ =( product( X, difference( Y, eta( Z ) ) ), product( i(
% 5.23/5.60 quotient( Y, X ) ), eta( Z ) ) ) ] )
% 5.23/5.60 , clause( 462, [ =( difference( i( quotient( X, Z ) ), product( Z,
% 5.23/5.60 difference( X, eta( Y ) ) ) ), eta( Y ) ) ] )
% 5.23/5.60 , 0, clause( 14375, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, i( quotient( Y, X ) ) ), :=( Y, product( X,
% 5.23/5.60 difference( Y, eta( Z ) ) ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14379, [ =( product( X, difference( Y, eta( Z ) ) ), difference(
% 5.23/5.60 quotient( Y, X ), eta( Z ) ) ) ] )
% 5.23/5.60 , clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, clause( 14378, [ =( product( X, difference( Y, eta( Z ) ) ), product(
% 5.23/5.60 i( quotient( Y, X ) ), eta( Z ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, quotient( Y, X ) ), :=( Y, Z )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14380, [ =( difference( quotient( Y, X ), eta( Z ) ), product( X,
% 5.23/5.60 difference( Y, eta( Z ) ) ) ) ] )
% 5.23/5.60 , clause( 14379, [ =( product( X, difference( Y, eta( Z ) ) ), difference(
% 5.23/5.60 quotient( Y, X ), eta( Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 7594, [ =( difference( quotient( X, Y ), eta( Z ) ), product( Y,
% 5.23/5.60 difference( X, eta( Z ) ) ) ) ] )
% 5.23/5.60 , clause( 14380, [ =( difference( quotient( Y, X ), eta( Z ) ), product( X
% 5.23/5.60 , difference( Y, eta( Z ) ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14382, [ =( i( product( Y, Z ) ), difference( product( product( eta(
% 5.23/5.60 X ), Y ), Z ), eta( X ) ) ) ] )
% 5.23/5.60 , clause( 475, [ =( difference( product( product( eta( X ), Y ), Z ), eta(
% 5.23/5.60 X ) ), i( product( Y, Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14391, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ),
% 5.23/5.60 difference( product( quotient( eta( eta( Y ) ), X ), Z ), eta( Y ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , clause( 1014, [ =( product( X, j( product( Y, X ) ) ), quotient( eta( X )
% 5.23/5.60 , Y ) ) ] )
% 5.23/5.60 , 0, clause( 14382, [ =( i( product( Y, Z ) ), difference( product( product(
% 5.23/5.60 eta( X ), Y ), Z ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, eta( Y ) ), :=( Y, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, Y ), :=( Y, j( product( X, eta( Y ) ) ) ), :=(
% 5.23/5.60 Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14392, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ),
% 5.23/5.60 difference( product( quotient( one, X ), Z ), eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 242, [ =( eta( eta( X ) ), one ) ] )
% 5.23/5.60 , 0, clause( 14391, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ),
% 5.23/5.60 difference( product( quotient( eta( eta( Y ) ), X ), Z ), eta( Y ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14393, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ),
% 5.23/5.60 difference( product( j( X ), Z ), eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.23/5.60 , 0, clause( 14392, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ),
% 5.23/5.60 difference( product( quotient( one, X ), Z ), eta( Y ) ) ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14395, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ),
% 5.23/5.60 difference( j( difference( Z, X ) ), eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14393, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ),
% 5.23/5.60 difference( product( j( X ), Z ), eta( Y ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14397, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ), product(
% 5.23/5.60 difference( Z, X ), eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, clause( 14395, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ),
% 5.23/5.60 difference( j( difference( Z, X ) ), eta( Y ) ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, difference( Z, X ) ), :=( Y, Y )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14398, [ =( i( j( difference( Z, product( X, eta( Y ) ) ) ) ),
% 5.23/5.60 product( difference( Z, X ), eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14397, [ =( i( product( j( product( X, eta( Y ) ) ), Z ) ),
% 5.23/5.60 product( difference( Z, X ), eta( Y ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, product( X, eta( Y ) ) )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14399, [ =( difference( X, product( Y, eta( Z ) ) ), product(
% 5.23/5.60 difference( X, Y ), eta( Z ) ) ) ] )
% 5.23/5.60 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14398, [ =( i( j( difference( Z, product( X, eta( Y ) ) ) ) )
% 5.23/5.60 , product( difference( Z, X ), eta( Y ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, difference( X, product( Y, eta( Z ) ) ) )] )
% 5.23/5.60 , substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 7791, [ =( difference( Z, product( Y, eta( X ) ) ), product(
% 5.23/5.60 difference( Z, Y ), eta( X ) ) ) ] )
% 5.23/5.60 , clause( 14399, [ =( difference( X, product( Y, eta( Z ) ) ), product(
% 5.23/5.60 difference( X, Y ), eta( Z ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14402, [ =( i( product( Y, Z ) ), difference( product( product( eta(
% 5.23/5.60 X ), Y ), Z ), eta( X ) ) ) ] )
% 5.23/5.60 , clause( 475, [ =( difference( product( product( eta( X ), Y ), Z ), eta(
% 5.23/5.60 X ) ), i( product( Y, Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14406, [ =( i( product( j( X ), Y ) ), difference( product(
% 5.23/5.60 quotient( eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.23/5.60 , clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.23/5.60 ] )
% 5.23/5.60 , 0, clause( 14402, [ =( i( product( Y, Z ) ), difference( product( product(
% 5.23/5.60 eta( X ), Y ), Z ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, Z ), :=( Y, j( X ) ), :=( Z, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14407, [ =( i( j( difference( Y, X ) ) ), difference( product(
% 5.23/5.60 quotient( eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.23/5.60 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14406, [ =( i( product( j( X ), Y ) ), difference( product(
% 5.23/5.60 quotient( eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14408, [ =( difference( X, Y ), difference( product( quotient( eta(
% 5.23/5.60 Z ), Y ), X ), eta( Z ) ) ) ] )
% 5.23/5.60 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14407, [ =( i( j( difference( Y, X ) ) ), difference( product(
% 5.23/5.60 quotient( eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, difference( X, Y ) )] ), substitution( 1
% 5.23/5.60 , [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14409, [ =( difference( product( quotient( eta( Z ), Y ), X ), eta(
% 5.23/5.60 Z ) ), difference( X, Y ) ) ] )
% 5.23/5.60 , clause( 14408, [ =( difference( X, Y ), difference( product( quotient(
% 5.23/5.60 eta( Z ), Y ), X ), eta( Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 7792, [ =( difference( product( quotient( eta( X ), Y ), Z ), eta(
% 5.23/5.60 X ) ), difference( Z, Y ) ) ] )
% 5.23/5.60 , clause( 14409, [ =( difference( product( quotient( eta( Z ), Y ), X ),
% 5.23/5.60 eta( Z ) ), difference( X, Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14411, [ =( i( product( Y, Z ) ), difference( product( product( eta(
% 5.23/5.60 X ), Y ), Z ), eta( X ) ) ) ] )
% 5.23/5.60 , clause( 475, [ =( difference( product( product( eta( X ), Y ), Z ), eta(
% 5.23/5.60 X ) ), i( product( Y, Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14416, [ =( i( product( difference( eta( X ), Y ), Z ) ),
% 5.23/5.60 difference( product( Y, Z ), eta( X ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14411, [ =( i( product( Y, Z ) ), difference( product( product(
% 5.23/5.60 eta( X ), Y ), Z ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, eta( X ) ), :=( Y, Y )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, difference( eta( X ), Y ) ), :=( Z
% 5.23/5.60 , Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14417, [ =( difference( Z, difference( Y, eta( X ) ) ), difference(
% 5.23/5.60 product( Y, Z ), eta( X ) ) ) ] )
% 5.23/5.60 , clause( 483, [ =( i( product( difference( eta( X ), Y ), Z ) ),
% 5.23/5.60 difference( Z, difference( Y, eta( X ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14416, [ =( i( product( difference( eta( X ), Y ), Z ) ),
% 5.23/5.60 difference( product( Y, Z ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 7793, [ =( difference( Z, difference( Y, eta( X ) ) ), difference(
% 5.23/5.60 product( Y, Z ), eta( X ) ) ) ] )
% 5.23/5.60 , clause( 14417, [ =( difference( Z, difference( Y, eta( X ) ) ),
% 5.23/5.60 difference( product( Y, Z ), eta( X ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14420, [ =( quotient( difference( Y, Z ), X ), difference( product(
% 5.23/5.60 X, Y ), product( X, quotient( Z, X ) ) ) ) ] )
% 5.23/5.60 , clause( 527, [ =( difference( product( Y, Z ), product( Y, quotient( X, Y
% 5.23/5.60 ) ) ), quotient( difference( Z, X ), Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14427, [ =( quotient( difference( X, difference( Y, eta( Z ) ) ), Z
% 5.23/5.60 ), difference( product( Z, X ), product( Z, i( product( Z, Y ) ) ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , clause( 520, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14420, [ =( quotient( difference( Y, Z ), X ), difference(
% 5.23/5.60 product( X, Y ), product( X, quotient( Z, X ) ) ) ) ] )
% 5.23/5.60 , 0, 15, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, Z ), :=( Y, X ), :=( Z, difference( Y, eta( Z ) ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14428, [ =( quotient( difference( X, difference( Y, eta( Z ) ) ), Z
% 5.23/5.60 ), difference( product( Z, X ), i( quotient( product( Z, Y ), Z ) ) ) )
% 5.23/5.60 ] )
% 5.23/5.60 , clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14427, [ =( quotient( difference( X, difference( Y, eta( Z ) )
% 5.23/5.60 ), Z ), difference( product( Z, X ), product( Z, i( product( Z, Y ) ) )
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , 0, 13, substitution( 0, [ :=( X, product( Z, Y ) ), :=( Y, Z )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14429, [ =( quotient( difference( X, difference( Y, eta( Z ) ) ), Z
% 5.23/5.60 ), i( product( quotient( product( Z, Y ), Z ), product( Z, X ) ) ) ) ]
% 5.23/5.60 )
% 5.23/5.60 , clause( 270, [ =( difference( X, i( Y ) ), i( product( Y, X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14428, [ =( quotient( difference( X, difference( Y, eta( Z ) )
% 5.23/5.60 ), Z ), difference( product( Z, X ), i( quotient( product( Z, Y ), Z ) )
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, product( Z, X ) ), :=( Y, quotient(
% 5.23/5.60 product( Z, Y ), Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 5.23/5.60 :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14430, [ =( quotient( difference( X, difference( Y, eta( Z ) ) ), Z
% 5.23/5.60 ), i( product( t( Z, Y ), product( Z, X ) ) ) ) ] )
% 5.23/5.60 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.23/5.60 , 0, clause( 14429, [ =( quotient( difference( X, difference( Y, eta( Z ) )
% 5.23/5.60 ), Z ), i( product( quotient( product( Z, Y ), Z ), product( Z, X ) ) )
% 5.23/5.60 ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14431, [ =( quotient( difference( product( Y, X ), eta( Z ) ), Z )
% 5.23/5.60 , i( product( t( Z, Y ), product( Z, X ) ) ) ) ] )
% 5.23/5.60 , clause( 7793, [ =( difference( Z, difference( Y, eta( X ) ) ), difference(
% 5.23/5.60 product( Y, Z ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14430, [ =( quotient( difference( X, difference( Y, eta( Z ) )
% 5.23/5.60 ), Z ), i( product( t( Z, Y ), product( Z, X ) ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14432, [ =( i( product( Z, product( X, Y ) ) ), i( product( t( Z, X
% 5.23/5.60 ), product( Z, Y ) ) ) ) ] )
% 5.23/5.60 , clause( 520, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X
% 5.23/5.60 , Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14431, [ =( quotient( difference( product( Y, X ), eta( Z ) )
% 5.23/5.60 , Z ), i( product( t( Z, Y ), product( Z, X ) ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, product( X, Y ) )] ),
% 5.23/5.60 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14433, [ =( i( product( t( X, Y ), product( X, Z ) ) ), i( product(
% 5.23/5.60 X, product( Y, Z ) ) ) ) ] )
% 5.23/5.60 , clause( 14432, [ =( i( product( Z, product( X, Y ) ) ), i( product( t( Z
% 5.23/5.60 , X ), product( Z, Y ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 8324, [ =( i( product( t( Y, X ), product( Y, Z ) ) ), i( product(
% 5.23/5.60 Y, product( X, Z ) ) ) ) ] )
% 5.23/5.60 , clause( 14433, [ =( i( product( t( X, Y ), product( X, Z ) ) ), i(
% 5.23/5.60 product( X, product( Y, Z ) ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14435, [ =( product( i( Y ), X ), difference( difference( X, Y ),
% 5.23/5.60 eta( X ) ) ) ] )
% 5.23/5.60 , clause( 1090, [ =( difference( difference( Y, X ), eta( Y ) ), product( i(
% 5.23/5.60 X ), Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14444, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 difference( quotient( quotient( Z, eta( Y ) ), X ), eta( quotient( eta( Y
% 5.23/5.60 ), Z ) ) ) ) ] )
% 5.23/5.60 , clause( 536, [ =( difference( quotient( eta( Y ), X ), j( Z ) ), quotient(
% 5.23/5.60 quotient( X, eta( Y ) ), Z ) ) ] )
% 5.23/5.60 , 0, clause( 14435, [ =( product( i( Y ), X ), difference( difference( X, Y
% 5.23/5.60 ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, quotient( eta( Y ), Z ) ), :=( Y, j( X ) )] )
% 5.23/5.60 ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14445, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( X, difference( quotient( Z, eta( Y ) ), eta( quotient( eta( Y )
% 5.23/5.60 , Z ) ) ) ) ) ] )
% 5.23/5.60 , clause( 7594, [ =( difference( quotient( X, Y ), eta( Z ) ), product( Y,
% 5.23/5.60 difference( X, eta( Z ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14444, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 difference( quotient( quotient( Z, eta( Y ) ), X ), eta( quotient( eta( Y
% 5.23/5.60 ), Z ) ) ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, quotient( Z, eta( Y ) ) ), :=( Y, X ),
% 5.23/5.60 :=( Z, quotient( eta( Y ), Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y
% 5.23/5.60 , Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14447, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( X, product( eta( Y ), difference( Z, eta( quotient( eta( Y ), Z
% 5.23/5.60 ) ) ) ) ) ) ] )
% 5.23/5.60 , clause( 7594, [ =( difference( quotient( X, Y ), eta( Z ) ), product( Y,
% 5.23/5.60 difference( X, eta( Z ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14445, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( X, difference( quotient( Z, eta( Y ) ), eta( quotient( eta( Y )
% 5.23/5.60 , Z ) ) ) ) ) ] )
% 5.23/5.60 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, eta( Y ) ), :=( Z, quotient(
% 5.23/5.60 eta( Y ), Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 5.23/5.60 ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14448, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), difference( Z, eta( quotient( eta( Y ),
% 5.23/5.60 Z ) ) ) ) ) ] )
% 5.23/5.60 , clause( 1698, [ =( product( X, product( eta( Y ), Z ) ), product( product(
% 5.23/5.60 X, eta( Y ) ), Z ) ) ] )
% 5.23/5.60 , 0, clause( 14447, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( X, product( eta( Y ), difference( Z, eta( quotient( eta( Y ), Z
% 5.23/5.60 ) ) ) ) ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, difference( Z,
% 5.23/5.60 eta( quotient( eta( Y ), Z ) ) ) )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14449, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), difference( Z, eta( product( Z, eta( Y )
% 5.23/5.60 ) ) ) ) ) ] )
% 5.23/5.60 , clause( 1149, [ =( eta( quotient( Y, X ) ), eta( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14448, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), difference( Z, eta( quotient( eta( Y ),
% 5.23/5.60 Z ) ) ) ) ) ] )
% 5.23/5.60 , 0, 16, substitution( 0, [ :=( X, Z ), :=( Y, eta( Y ) )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14450, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), quotient( eta( eta( Y ) ), Z ) ) ) ] )
% 5.23/5.60 , clause( 423, [ =( difference( X, eta( product( X, Y ) ) ), quotient( eta(
% 5.23/5.60 Y ), X ) ) ] )
% 5.23/5.60 , 0, clause( 14449, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), difference( Z, eta( product( Z, eta( Y )
% 5.23/5.60 ) ) ) ) ) ] )
% 5.23/5.60 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, eta( Y ) )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14451, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), quotient( one, Z ) ) ) ] )
% 5.23/5.60 , clause( 242, [ =( eta( eta( X ) ), one ) ] )
% 5.23/5.60 , 0, clause( 14450, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), quotient( eta( eta( Y ) ), Z ) ) ) ] )
% 5.23/5.60 , 0, 15, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14452, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), j( Z ) ) ) ] )
% 5.23/5.60 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.23/5.60 , 0, clause( 14451, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), quotient( one, Z ) ) ) ] )
% 5.23/5.60 , 0, 14, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14453, [ =( product( X, quotient( eta( Y ), Z ) ), product( product(
% 5.23/5.60 X, eta( Y ) ), j( Z ) ) ) ] )
% 5.23/5.60 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14452, [ =( product( i( j( X ) ), quotient( eta( Y ), Z ) ),
% 5.23/5.60 product( product( X, eta( Y ) ), j( Z ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.23/5.60 :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14454, [ =( product( product( X, eta( Y ) ), j( Z ) ), product( X,
% 5.23/5.60 quotient( eta( Y ), Z ) ) ) ] )
% 5.23/5.60 , clause( 14453, [ =( product( X, quotient( eta( Y ), Z ) ), product(
% 5.23/5.60 product( X, eta( Y ) ), j( Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 8509, [ =( product( product( Z, eta( X ) ), j( Y ) ), product( Z,
% 5.23/5.60 quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.60 , clause( 14454, [ =( product( product( X, eta( Y ) ), j( Z ) ), product( X
% 5.23/5.60 , quotient( eta( Y ), Z ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14456, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14459, [ =( difference( X, eta( Y ) ), product( Z, difference(
% 5.23/5.60 product( X, Z ), eta( Y ) ) ) ) ] )
% 5.23/5.60 , clause( 7793, [ =( difference( Z, difference( Y, eta( X ) ) ), difference(
% 5.23/5.60 product( Y, Z ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14456, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.23/5.60 substitution( 1, [ :=( X, Z ), :=( Y, difference( X, eta( Y ) ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14460, [ =( product( Z, difference( product( X, Z ), eta( Y ) ) ),
% 5.23/5.60 difference( X, eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 14459, [ =( difference( X, eta( Y ) ), product( Z, difference(
% 5.23/5.60 product( X, Z ), eta( Y ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 9674, [ =( product( X, difference( product( Y, X ), eta( Z ) ) ),
% 5.23/5.60 difference( Y, eta( Z ) ) ) ] )
% 5.23/5.60 , clause( 14460, [ =( product( Z, difference( product( X, Z ), eta( Y ) ) )
% 5.23/5.60 , difference( X, eta( Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14462, [ =( difference( Y, eta( Z ) ), product( X, difference(
% 5.23/5.60 product( Y, X ), eta( Z ) ) ) ) ] )
% 5.23/5.60 , clause( 9674, [ =( product( X, difference( product( Y, X ), eta( Z ) ) )
% 5.23/5.60 , difference( Y, eta( Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14463, [ =( difference( X, eta( Y ) ), product( difference( X, Z )
% 5.23/5.60 , difference( Z, eta( Y ) ) ) ) ] )
% 5.23/5.60 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14462, [ =( difference( Y, eta( Z ) ), product( X, difference(
% 5.23/5.60 product( Y, X ), eta( Z ) ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 5.23/5.60 :=( X, difference( X, Z ) ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14464, [ =( product( difference( X, Z ), difference( Z, eta( Y ) )
% 5.23/5.60 ), difference( X, eta( Y ) ) ) ] )
% 5.23/5.60 , clause( 14463, [ =( difference( X, eta( Y ) ), product( difference( X, Z
% 5.23/5.60 ), difference( Z, eta( Y ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 9678, [ =( product( difference( X, Y ), difference( Y, eta( Z ) ) )
% 5.23/5.60 , difference( X, eta( Z ) ) ) ] )
% 5.23/5.60 , clause( 14464, [ =( product( difference( X, Z ), difference( Z, eta( Y )
% 5.23/5.60 ) ), difference( X, eta( Y ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14466, [ =( difference( X, eta( Z ) ), product( difference( X, Y )
% 5.23/5.60 , difference( Y, eta( Z ) ) ) ) ] )
% 5.23/5.60 , clause( 9678, [ =( product( difference( X, Y ), difference( Y, eta( Z ) )
% 5.23/5.60 ), difference( X, eta( Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14472, [ =( difference( X, eta( product( Y, Z ) ) ), product(
% 5.23/5.60 difference( X, product( Z, eta( Y ) ) ), j( Z ) ) ) ] )
% 5.23/5.60 , clause( 2938, [ =( difference( product( Y, eta( X ) ), eta( product( X, Y
% 5.23/5.60 ) ) ), j( Y ) ) ] )
% 5.23/5.60 , 0, clause( 14466, [ =( difference( X, eta( Z ) ), product( difference( X
% 5.23/5.60 , Y ), difference( Y, eta( Z ) ) ) ) ] )
% 5.23/5.60 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, product( Z, eta( Y ) ) ), :=( Z, product( Y, Z ) )] )
% 5.23/5.60 ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14473, [ =( difference( X, eta( product( Y, Z ) ) ), product(
% 5.23/5.60 product( difference( X, Z ), eta( Y ) ), j( Z ) ) ) ] )
% 5.23/5.60 , clause( 7791, [ =( difference( Z, product( Y, eta( X ) ) ), product(
% 5.23/5.60 difference( Z, Y ), eta( X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14472, [ =( difference( X, eta( product( Y, Z ) ) ), product(
% 5.23/5.60 difference( X, product( Z, eta( Y ) ) ), j( Z ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14474, [ =( difference( X, eta( product( Y, Z ) ) ), product(
% 5.23/5.60 difference( X, Z ), quotient( eta( Y ), Z ) ) ) ] )
% 5.23/5.60 , clause( 8509, [ =( product( product( Z, eta( X ) ), j( Y ) ), product( Z
% 5.23/5.60 , quotient( eta( X ), Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14473, [ =( difference( X, eta( product( Y, Z ) ) ), product(
% 5.23/5.60 product( difference( X, Z ), eta( Y ) ), j( Z ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, difference( X, Z
% 5.23/5.60 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14475, [ =( product( difference( X, Z ), quotient( eta( Y ), Z ) )
% 5.23/5.60 , difference( X, eta( product( Y, Z ) ) ) ) ] )
% 5.23/5.60 , clause( 14474, [ =( difference( X, eta( product( Y, Z ) ) ), product(
% 5.23/5.60 difference( X, Z ), quotient( eta( Y ), Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 9680, [ =( product( difference( Z, X ), quotient( eta( Y ), X ) ),
% 5.23/5.60 difference( Z, eta( product( Y, X ) ) ) ) ] )
% 5.23/5.60 , clause( 14475, [ =( product( difference( X, Z ), quotient( eta( Y ), Z )
% 5.23/5.60 ), difference( X, eta( product( Y, Z ) ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14477, [ =( i( product( X, quotient( Y, X ) ) ), t( X, difference(
% 5.23/5.60 Y, eta( X ) ) ) ) ] )
% 5.23/5.60 , clause( 869, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.23/5.60 quotient( Y, X ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14482, [ =( i( product( X, quotient( product( quotient( eta( X ), Y
% 5.23/5.60 ), Z ), X ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.23/5.60 , clause( 7792, [ =( difference( product( quotient( eta( X ), Y ), Z ), eta(
% 5.23/5.60 X ) ), difference( Z, Y ) ) ] )
% 5.23/5.60 , 0, clause( 14477, [ =( i( product( X, quotient( Y, X ) ) ), t( X,
% 5.23/5.60 difference( Y, eta( X ) ) ) ) ] )
% 5.23/5.60 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, product( quotient( eta( X ), Y ), Z
% 5.23/5.60 ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14483, [ =( i( product( product( X, quotient( eta( X ), Y ) ),
% 5.23/5.60 quotient( Z, X ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.23/5.60 , clause( 415, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.23/5.60 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14482, [ =( i( product( X, quotient( product( quotient( eta( X
% 5.23/5.60 ), Y ), Z ), X ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, quotient( eta( X ), Y ) ),
% 5.23/5.60 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 5.23/5.60 ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14484, [ =( i( product( j( quotient( Y, X ) ), quotient( Z, X ) ) )
% 5.23/5.60 , t( X, difference( Z, Y ) ) ) ] )
% 5.23/5.60 , clause( 444, [ =( product( X, quotient( eta( X ), Y ) ), j( quotient( Y,
% 5.23/5.60 X ) ) ) ] )
% 5.23/5.60 , 0, clause( 14483, [ =( i( product( product( X, quotient( eta( X ), Y ) )
% 5.23/5.60 , quotient( Z, X ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.23/5.60 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14485, [ =( i( j( difference( quotient( Z, Y ), quotient( X, Y ) )
% 5.23/5.60 ) ), t( Y, difference( Z, X ) ) ) ] )
% 5.23/5.60 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14484, [ =( i( product( j( quotient( Y, X ) ), quotient( Z, X
% 5.23/5.60 ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, quotient( Z, Y ) ), :=( Y, quotient( X, Y
% 5.23/5.60 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14486, [ =( difference( quotient( X, Y ), quotient( Z, Y ) ), t( Y
% 5.23/5.60 , difference( X, Z ) ) ) ] )
% 5.23/5.60 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14485, [ =( i( j( difference( quotient( Z, Y ), quotient( X, Y
% 5.23/5.60 ) ) ) ), t( Y, difference( Z, X ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, difference( quotient( X, Y ), quotient( Z
% 5.23/5.60 , Y ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )
% 5.23/5.60 ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 12887, [ =( difference( quotient( Z, X ), quotient( Y, X ) ), t( X
% 5.23/5.60 , difference( Z, Y ) ) ) ] )
% 5.23/5.60 , clause( 14486, [ =( difference( quotient( X, Y ), quotient( Z, Y ) ), t(
% 5.23/5.60 Y, difference( X, Z ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14489, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 5.23/5.60 , clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14494, [ =( quotient( X, Y ), quotient( quotient( Z, Y ), t( Y,
% 5.23/5.60 difference( X, Z ) ) ) ) ] )
% 5.23/5.60 , clause( 12887, [ =( difference( quotient( Z, X ), quotient( Y, X ) ), t(
% 5.23/5.60 X, difference( Z, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14489, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, quotient( Z, Y ) ), :=( Y, quotient( X, Y ) )] )
% 5.23/5.60 ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14495, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z ) )
% 5.23/5.60 ), quotient( X, Y ) ) ] )
% 5.23/5.60 , clause( 14494, [ =( quotient( X, Y ), quotient( quotient( Z, Y ), t( Y,
% 5.23/5.60 difference( X, Z ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 12895, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z ) )
% 5.23/5.60 ), quotient( X, Y ) ) ] )
% 5.23/5.60 , clause( 14495, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z )
% 5.23/5.60 ) ), quotient( X, Y ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14497, [ =( quotient( Z, Y ), quotient( quotient( X, Y ), t( Y,
% 5.23/5.60 difference( Z, X ) ) ) ) ] )
% 5.23/5.60 , clause( 12895, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z )
% 5.23/5.60 ) ), quotient( X, Y ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14500, [ =( quotient( quotient( X, Y ), Z ), quotient( quotient( X
% 5.23/5.60 , Z ), t( Z, Y ) ) ) ] )
% 5.23/5.60 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.23/5.60 , 0, clause( 14497, [ =( quotient( Z, Y ), quotient( quotient( X, Y ), t( Y
% 5.23/5.60 , difference( Z, X ) ) ) ) ] )
% 5.23/5.60 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Z ), :=( Z, quotient( X, Y ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14501, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.23/5.60 quotient( X, Y ), Z ) ) ] )
% 5.23/5.60 , clause( 14500, [ =( quotient( quotient( X, Y ), Z ), quotient( quotient(
% 5.23/5.60 X, Z ), t( Z, Y ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 12908, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.23/5.60 quotient( X, Y ), Z ) ) ] )
% 5.23/5.60 , clause( 14501, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.23/5.60 quotient( X, Y ), Z ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14503, [ =( quotient( quotient( X, Z ), Y ), quotient( quotient( X
% 5.23/5.60 , Y ), t( Y, Z ) ) ) ] )
% 5.23/5.60 , clause( 12908, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.23/5.60 quotient( X, Y ), Z ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14508, [ =( quotient( quotient( j( X ), Y ), Z ), quotient( j(
% 5.23/5.60 product( Z, X ) ), t( Z, Y ) ) ) ] )
% 5.23/5.60 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14503, [ =( quotient( quotient( X, Z ), Y ), quotient(
% 5.23/5.60 quotient( X, Y ), t( Y, Z ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, j( X ) ), :=( Y, Z ), :=( Z, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14516, [ =( quotient( quotient( j( X ), Y ), Z ), j( product( t( Z
% 5.23/5.60 , Y ), product( Z, X ) ) ) ) ] )
% 5.23/5.60 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14508, [ =( quotient( quotient( j( X ), Y ), Z ), quotient( j(
% 5.23/5.60 product( Z, X ) ), t( Z, Y ) ) ) ] )
% 5.23/5.60 , 0, 7, substitution( 0, [ :=( X, t( Z, Y ) ), :=( Y, product( Z, X ) )] )
% 5.23/5.60 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14520, [ =( quotient( j( product( Y, X ) ), Z ), j( product( t( Z,
% 5.23/5.60 Y ), product( Z, X ) ) ) ) ] )
% 5.23/5.60 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14516, [ =( quotient( quotient( j( X ), Y ), Z ), j( product(
% 5.23/5.60 t( Z, Y ), product( Z, X ) ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14522, [ =( j( product( Z, product( X, Y ) ) ), j( product( t( Z, X
% 5.23/5.60 ), product( Z, Y ) ) ) ) ] )
% 5.23/5.60 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14520, [ =( quotient( j( product( Y, X ) ), Z ), j( product( t(
% 5.23/5.60 Z, Y ), product( Z, X ) ) ) ) ] )
% 5.23/5.60 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, product( X, Y ) )] ),
% 5.23/5.60 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14523, [ =( j( product( t( X, Y ), product( X, Z ) ) ), j( product(
% 5.23/5.60 X, product( Y, Z ) ) ) ) ] )
% 5.23/5.60 , clause( 14522, [ =( j( product( Z, product( X, Y ) ) ), j( product( t( Z
% 5.23/5.60 , X ), product( Z, Y ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 12915, [ =( j( product( t( Y, Z ), product( Y, X ) ) ), j( product(
% 5.23/5.60 Y, product( Z, X ) ) ) ) ] )
% 5.23/5.60 , clause( 14523, [ =( j( product( t( X, Y ), product( X, Z ) ) ), j(
% 5.23/5.60 product( X, product( Y, Z ) ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14525, [ =( quotient( quotient( X, Z ), Y ), quotient( quotient( X
% 5.23/5.60 , Y ), t( Y, Z ) ) ) ] )
% 5.23/5.60 , clause( 12908, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.23/5.60 quotient( X, Y ), Z ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14527, [ =( quotient( quotient( product( X, Y ), Z ), Y ), quotient(
% 5.23/5.60 X, t( Y, Z ) ) ) ] )
% 5.23/5.60 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.23/5.60 , 0, clause( 14525, [ =( quotient( quotient( X, Z ), Y ), quotient(
% 5.23/5.60 quotient( X, Y ), t( Y, Z ) ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, product( X, Y ) ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 12919, [ =( quotient( quotient( product( X, Y ), Z ), Y ), quotient(
% 5.23/5.60 X, t( Y, Z ) ) ) ] )
% 5.23/5.60 , clause( 14527, [ =( quotient( quotient( product( X, Y ), Z ), Y ),
% 5.23/5.60 quotient( X, t( Y, Z ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14531, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 5.23/5.60 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14532, [ =( X, difference( quotient( Y, t( X, Z ) ), quotient(
% 5.23/5.60 product( Y, X ), Z ) ) ) ] )
% 5.23/5.60 , clause( 12919, [ =( quotient( quotient( product( X, Y ), Z ), Y ),
% 5.23/5.60 quotient( X, t( Y, Z ) ) ) ] )
% 5.23/5.60 , 0, clause( 14531, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 5.23/5.60 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.23/5.60 substitution( 1, [ :=( X, quotient( product( Y, X ), Z ) ), :=( Y, X )] )
% 5.23/5.60 ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14533, [ =( difference( quotient( Y, t( X, Z ) ), quotient( product(
% 5.23/5.60 Y, X ), Z ) ), X ) ] )
% 5.23/5.60 , clause( 14532, [ =( X, difference( quotient( Y, t( X, Z ) ), quotient(
% 5.23/5.60 product( Y, X ), Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 12934, [ =( difference( quotient( X, t( Y, Z ) ), quotient( product(
% 5.23/5.60 X, Y ), Z ) ), Y ) ] )
% 5.23/5.60 , clause( 14533, [ =( difference( quotient( Y, t( X, Z ) ), quotient(
% 5.23/5.60 product( Y, X ), Z ) ), X ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14535, [ =( Y, difference( quotient( X, t( Y, Z ) ), quotient(
% 5.23/5.60 product( X, Y ), Z ) ) ) ] )
% 5.23/5.60 , clause( 12934, [ =( difference( quotient( X, t( Y, Z ) ), quotient(
% 5.23/5.60 product( X, Y ), Z ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14540, [ =( X, difference( quotient( j( Y ), t( X, Z ) ), quotient(
% 5.23/5.60 j( difference( X, Y ) ), Z ) ) ) ] )
% 5.23/5.60 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14535, [ =( Y, difference( quotient( X, t( Y, Z ) ), quotient(
% 5.23/5.60 product( X, Y ), Z ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.23/5.60 :=( X, j( Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14542, [ =( X, difference( quotient( j( Y ), t( X, Z ) ), j(
% 5.23/5.60 product( Z, difference( X, Y ) ) ) ) ) ] )
% 5.23/5.60 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14540, [ =( X, difference( quotient( j( Y ), t( X, Z ) ),
% 5.23/5.60 quotient( j( difference( X, Y ) ), Z ) ) ) ] )
% 5.23/5.60 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, difference( X, Y ) )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14544, [ =( X, difference( j( product( t( X, Z ), Y ) ), j( product(
% 5.23/5.60 Z, difference( X, Y ) ) ) ) ) ] )
% 5.23/5.60 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.23/5.60 , 0, clause( 14542, [ =( X, difference( quotient( j( Y ), t( X, Z ) ), j(
% 5.23/5.60 product( Z, difference( X, Y ) ) ) ) ) ] )
% 5.23/5.60 , 0, 3, substitution( 0, [ :=( X, t( X, Z ) ), :=( Y, Y )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14545, [ =( X, quotient( product( t( X, Y ), Z ), product( Y,
% 5.23/5.60 difference( X, Z ) ) ) ) ] )
% 5.23/5.60 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.23/5.60 , 0, clause( 14544, [ =( X, difference( j( product( t( X, Z ), Y ) ), j(
% 5.23/5.60 product( Z, difference( X, Y ) ) ) ) ) ] )
% 5.23/5.60 , 0, 2, substitution( 0, [ :=( X, product( t( X, Y ), Z ) ), :=( Y, product(
% 5.23/5.60 Y, difference( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ),
% 5.23/5.60 :=( Z, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14546, [ =( quotient( product( t( X, Y ), Z ), product( Y,
% 5.23/5.60 difference( X, Z ) ) ), X ) ] )
% 5.23/5.60 , clause( 14545, [ =( X, quotient( product( t( X, Y ), Z ), product( Y,
% 5.23/5.60 difference( X, Z ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 13185, [ =( quotient( product( t( Y, Z ), X ), product( Z,
% 5.23/5.60 difference( Y, X ) ) ), Y ) ] )
% 5.23/5.60 , clause( 14546, [ =( quotient( product( t( X, Y ), Z ), product( Y,
% 5.23/5.60 difference( X, Z ) ) ), X ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14548, [ =( X, quotient( product( t( X, Y ), Z ), product( Y,
% 5.23/5.60 difference( X, Z ) ) ) ) ] )
% 5.23/5.60 , clause( 13185, [ =( quotient( product( t( Y, Z ), X ), product( Z,
% 5.23/5.60 difference( Y, X ) ) ), Y ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14549, [ =( X, quotient( product( t( X, Y ), product( X, Z ) ),
% 5.23/5.60 product( Y, Z ) ) ) ] )
% 5.23/5.60 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.23/5.60 , 0, clause( 14548, [ =( X, quotient( product( t( X, Y ), Z ), product( Y,
% 5.23/5.60 difference( X, Z ) ) ) ) ] )
% 5.23/5.60 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 5.23/5.60 :=( X, X ), :=( Y, Y ), :=( Z, product( X, Z ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14550, [ =( quotient( product( t( X, Y ), product( X, Z ) ),
% 5.23/5.60 product( Y, Z ) ), X ) ] )
% 5.23/5.60 , clause( 14549, [ =( X, quotient( product( t( X, Y ), product( X, Z ) ),
% 5.23/5.60 product( Y, Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 13209, [ =( quotient( product( t( X, Z ), product( X, Y ) ),
% 5.23/5.60 product( Z, Y ) ), X ) ] )
% 5.23/5.60 , clause( 14550, [ =( quotient( product( t( X, Y ), product( X, Z ) ),
% 5.23/5.60 product( Y, Z ) ), X ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14552, [ =( X, product( difference( i( X ), quotient( X, Y ) ),
% 5.23/5.60 product( Y, j( X ) ) ) ) ] )
% 5.23/5.60 , clause( 2499, [ =( product( difference( i( X ), quotient( X, Y ) ),
% 5.23/5.60 product( Y, j( X ) ) ), X ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14560, [ =( product( t( X, Y ), product( X, Z ) ), product(
% 5.23/5.60 difference( i( product( t( X, Y ), product( X, Z ) ) ), X ), product(
% 5.23/5.60 product( Y, Z ), j( product( t( X, Y ), product( X, Z ) ) ) ) ) ) ] )
% 5.23/5.60 , clause( 13209, [ =( quotient( product( t( X, Z ), product( X, Y ) ),
% 5.23/5.60 product( Z, Y ) ), X ) ] )
% 5.23/5.60 , 0, clause( 14552, [ =( X, product( difference( i( X ), quotient( X, Y ) )
% 5.23/5.60 , product( Y, j( X ) ) ) ) ] )
% 5.23/5.60 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 5.23/5.60 substitution( 1, [ :=( X, product( t( X, Y ), product( X, Z ) ) ), :=( Y
% 5.23/5.60 , product( Y, Z ) )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14561, [ =( product( t( X, Y ), product( X, Z ) ), product(
% 5.23/5.60 difference( i( product( X, product( Y, Z ) ) ), X ), product( product( Y
% 5.23/5.60 , Z ), j( product( t( X, Y ), product( X, Z ) ) ) ) ) ) ] )
% 5.23/5.60 , clause( 8324, [ =( i( product( t( Y, X ), product( Y, Z ) ) ), i( product(
% 5.23/5.60 Y, product( X, Z ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14560, [ =( product( t( X, Y ), product( X, Z ) ), product(
% 5.23/5.60 difference( i( product( t( X, Y ), product( X, Z ) ) ), X ), product(
% 5.23/5.60 product( Y, Z ), j( product( t( X, Y ), product( X, Z ) ) ) ) ) ) ] )
% 5.23/5.60 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14562, [ =( product( t( X, Y ), product( X, Z ) ), product(
% 5.23/5.60 difference( i( product( X, product( Y, Z ) ) ), X ), product( product( Y
% 5.23/5.60 , Z ), j( product( X, product( Y, Z ) ) ) ) ) ) ] )
% 5.23/5.60 , clause( 12915, [ =( j( product( t( Y, Z ), product( Y, X ) ) ), j(
% 5.23/5.60 product( Y, product( Z, X ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14561, [ =( product( t( X, Y ), product( X, Z ) ), product(
% 5.23/5.60 difference( i( product( X, product( Y, Z ) ) ), X ), product( product( Y
% 5.23/5.60 , Z ), j( product( t( X, Y ), product( X, Z ) ) ) ) ) ) ] )
% 5.23/5.60 , 0, 21, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14563, [ =( product( t( X, Y ), product( X, Z ) ), product(
% 5.23/5.60 difference( i( product( X, product( Y, Z ) ) ), X ), quotient( eta(
% 5.23/5.60 product( Y, Z ) ), X ) ) ) ] )
% 5.23/5.60 , clause( 1014, [ =( product( X, j( product( Y, X ) ) ), quotient( eta( X )
% 5.23/5.60 , Y ) ) ] )
% 5.23/5.60 , 0, clause( 14562, [ =( product( t( X, Y ), product( X, Z ) ), product(
% 5.23/5.60 difference( i( product( X, product( Y, Z ) ) ), X ), product( product( Y
% 5.23/5.60 , Z ), j( product( X, product( Y, Z ) ) ) ) ) ) ] )
% 5.23/5.60 , 0, 17, substitution( 0, [ :=( X, product( Y, Z ) ), :=( Y, X )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14564, [ =( product( t( X, Y ), product( X, Z ) ), difference( i(
% 5.23/5.60 product( X, product( Y, Z ) ) ), eta( product( product( Y, Z ), X ) ) ) )
% 5.23/5.60 ] )
% 5.23/5.60 , clause( 9680, [ =( product( difference( Z, X ), quotient( eta( Y ), X ) )
% 5.23/5.60 , difference( Z, eta( product( Y, X ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14563, [ =( product( t( X, Y ), product( X, Z ) ), product(
% 5.23/5.60 difference( i( product( X, product( Y, Z ) ) ), X ), quotient( eta(
% 5.23/5.60 product( Y, Z ) ), X ) ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, product( Y, Z ) ), :=( Z, i(
% 5.23/5.60 product( X, product( Y, Z ) ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 5.23/5.60 Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 paramod(
% 5.23/5.60 clause( 14565, [ =( product( t( X, Y ), product( X, Z ) ), product( X,
% 5.23/5.60 product( Y, Z ) ) ) ] )
% 5.23/5.60 , clause( 1584, [ =( difference( i( product( X, Y ) ), eta( product( Y, X )
% 5.23/5.60 ) ), product( X, Y ) ) ] )
% 5.23/5.60 , 0, clause( 14564, [ =( product( t( X, Y ), product( X, Z ) ), difference(
% 5.23/5.60 i( product( X, product( Y, Z ) ) ), eta( product( product( Y, Z ), X ) )
% 5.23/5.60 ) ) ] )
% 5.23/5.60 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, product( Y, Z ) )] ),
% 5.23/5.60 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 13225, [ =( product( t( X, Y ), product( X, Z ) ), product( X,
% 5.23/5.60 product( Y, Z ) ) ) ] )
% 5.23/5.60 , clause( 14565, [ =( product( t( X, Y ), product( X, Z ) ), product( X,
% 5.23/5.60 product( Y, Z ) ) ) ] )
% 5.23/5.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.23/5.60 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14567, [ =( product( X, product( Y, Z ) ), product( t( X, Y ),
% 5.23/5.60 product( X, Z ) ) ) ] )
% 5.23/5.60 , clause( 13225, [ =( product( t( X, Y ), product( X, Z ) ), product( X,
% 5.23/5.60 product( Y, Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 eqswap(
% 5.23/5.60 clause( 14568, [ ~( =( product( x0, product( x1, x2 ) ), product( t( x0, x1
% 5.23/5.60 ), product( x0, x2 ) ) ) ) ] )
% 5.23/5.60 , clause( 24, [ ~( =( product( t( x0, x1 ), product( x0, x2 ) ), product(
% 5.23/5.60 x0, product( x1, x2 ) ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 resolution(
% 5.23/5.60 clause( 14569, [] )
% 5.23/5.60 , clause( 14568, [ ~( =( product( x0, product( x1, x2 ) ), product( t( x0,
% 5.23/5.60 x1 ), product( x0, x2 ) ) ) ) ] )
% 5.23/5.60 , 0, clause( 14567, [ =( product( X, product( Y, Z ) ), product( t( X, Y )
% 5.23/5.60 , product( X, Z ) ) ) ] )
% 5.23/5.60 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x0 ), :=( Y, x1 ),
% 5.23/5.60 :=( Z, x2 )] )).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 subsumption(
% 5.23/5.60 clause( 13232, [] )
% 5.23/5.60 , clause( 14569, [] )
% 5.23/5.60 , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 end.
% 5.23/5.60
% 5.23/5.60 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.23/5.60
% 5.23/5.60 Memory use:
% 5.23/5.60
% 5.23/5.60 space for terms: 185673
% 5.23/5.60 space for clauses: 1642638
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 clauses generated: 523886
% 5.23/5.60 clauses kept: 13233
% 5.23/5.60 clauses selected: 1721
% 5.23/5.60 clauses deleted: 1747
% 5.23/5.60 clauses inuse deleted: 430
% 5.23/5.60
% 5.23/5.60 subsentry: 15581
% 5.23/5.60 literals s-matched: 13309
% 5.23/5.60 literals matched: 13301
% 5.23/5.60 full subsumption: 0
% 5.23/5.60
% 5.23/5.60 checksum: 1599732293
% 5.23/5.60
% 5.23/5.60
% 5.23/5.60 Bliksem ended
%------------------------------------------------------------------------------