TSTP Solution File: GRP772-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP772-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 07:39:30 EDT 2022
% Result : Unsatisfiable 12.09s 12.45s
% Output : Refutation 12.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP772-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n016.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 : Tue Jun 14 07:17:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 12.09/12.45 *** allocated 10000 integers for termspace/termends
% 12.09/12.45 *** allocated 10000 integers for clauses
% 12.09/12.45 *** allocated 10000 integers for justifications
% 12.09/12.45 Bliksem 1.12
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Automatic Strategy Selection
% 12.09/12.45
% 12.09/12.45 Clauses:
% 12.09/12.45 [
% 12.09/12.45 [ =( product( X, one ), X ) ],
% 12.09/12.45 [ =( product( one, X ), X ) ],
% 12.09/12.45 [ =( product( X, difference( X, Y ) ), Y ) ],
% 12.09/12.45 [ =( difference( X, product( X, Y ) ), Y ) ],
% 12.09/12.45 [ =( quotient( product( X, Y ), Y ), X ) ],
% 12.09/12.45 [ =( product( quotient( X, Y ), Y ), X ) ],
% 12.09/12.45 [ =( difference( X, product( product( X, Y ), Z ) ), quotient( product(
% 12.09/12.45 Y, product( Z, X ) ), X ) ) ],
% 12.09/12.45 [ =( difference( product( X, Y ), product( X, product( Y, Z ) ) ),
% 12.09/12.45 quotient( quotient( product( Z, product( X, Y ) ), Y ), X ) ) ],
% 12.09/12.45 [ =( i( X ), difference( X, one ) ) ],
% 12.09/12.45 [ =( j( X ), quotient( one, X ) ) ],
% 12.09/12.45 [ =( product( i( X ), X ), product( X, j( X ) ) ) ],
% 12.09/12.45 [ =( eta( X ), product( i( X ), X ) ) ],
% 12.09/12.45 [ =( product( i( i( X ) ), Y ), product( eta( X ), product( X, Y ) ) ) ]
% 12.09/12.45 ,
% 12.09/12.45 [ =( product( X, product( eta( X ), Y ) ), product( j( j( X ) ), Y ) ) ]
% 12.09/12.45 ,
% 12.09/12.45 [ =( product( X, product( Y, eta( X ) ) ), product( product( X, Y ), eta(
% 12.09/12.45 X ) ) ) ],
% 12.09/12.45 [ =( product( eta( X ), product( Y, Z ) ), product( product( eta( X ), Y
% 12.09/12.45 ), Z ) ) ],
% 12.09/12.45 [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) ) ],
% 12.09/12.45 [ =( product( product( product( quotient( j( X ), X ), product( X, X ) )
% 12.09/12.45 , Y ), Z ), product( product( quotient( j( X ), X ), product( X, X ) ),
% 12.09/12.45 product( Y, Z ) ) ) ],
% 12.09/12.45 [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ],
% 12.09/12.45 [ =( t( eta( X ), product( Y, Z ) ), product( t( eta( X ), Y ), t( eta(
% 12.09/12.45 X ), Z ) ) ) ],
% 12.09/12.45 [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y ) ) ],
% 12.09/12.45 [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ],
% 12.09/12.45 [ =( product( product( X, product( Y, Z ) ), a( X, Y, Z ) ), product(
% 12.09/12.45 product( X, Y ), Z ) ) ],
% 12.09/12.45 [ =( product( product( X, Y ), c( Y, X ) ), product( Y, X ) ) ],
% 12.09/12.45 [ =( product( c( X, Y ), product( Z, T ) ), product( product( c( X, Y )
% 12.09/12.45 , Z ), T ) ) ],
% 12.09/12.45 [ =( product( product( X, Y ), c( Z, T ) ), product( X, product( Y, c( Z
% 12.09/12.45 , T ) ) ) ) ],
% 12.09/12.45 [ =( product( a( X, Y, Z ), product( T, U ) ), product( product( a( X, Y
% 12.09/12.45 , Z ), T ), U ) ) ],
% 12.09/12.45 [ =( product( product( X, Y ), a( Z, T, U ) ), product( X, product( Y, a(
% 12.09/12.45 Z, T, U ) ) ) ) ],
% 12.09/12.45 [ =( product( a( X, Y, Z ), difference( Z, product( a( Z, X, Y ), Z ) )
% 12.09/12.45 ), one ) ],
% 12.09/12.45 [ =( a( X, i( Y ), Z ), a( X, j( Y ), Z ) ) ],
% 12.09/12.45 [ =( a( i( X ), Y, Z ), a( j( X ), Y, Z ) ) ],
% 12.09/12.45 [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ],
% 12.09/12.45 [ ~( =( a( x0, x1, x1 ), a( x1, x1, x0 ) ) ) ]
% 12.09/12.45 ] .
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 percentage equality = 1.000000, percentage horn = 1.000000
% 12.09/12.45 This is a pure equality problem
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Options Used:
% 12.09/12.45
% 12.09/12.45 useres = 1
% 12.09/12.45 useparamod = 1
% 12.09/12.45 useeqrefl = 1
% 12.09/12.45 useeqfact = 1
% 12.09/12.45 usefactor = 1
% 12.09/12.45 usesimpsplitting = 0
% 12.09/12.45 usesimpdemod = 5
% 12.09/12.45 usesimpres = 3
% 12.09/12.45
% 12.09/12.45 resimpinuse = 1000
% 12.09/12.45 resimpclauses = 20000
% 12.09/12.45 substype = eqrewr
% 12.09/12.45 backwardsubs = 1
% 12.09/12.45 selectoldest = 5
% 12.09/12.45
% 12.09/12.45 litorderings [0] = split
% 12.09/12.45 litorderings [1] = extend the termordering, first sorting on arguments
% 12.09/12.45
% 12.09/12.45 termordering = kbo
% 12.09/12.45
% 12.09/12.45 litapriori = 0
% 12.09/12.45 termapriori = 1
% 12.09/12.45 litaposteriori = 0
% 12.09/12.45 termaposteriori = 0
% 12.09/12.45 demodaposteriori = 0
% 12.09/12.45 ordereqreflfact = 0
% 12.09/12.45
% 12.09/12.45 litselect = negord
% 12.09/12.45
% 12.09/12.45 maxweight = 15
% 12.09/12.45 maxdepth = 30000
% 12.09/12.45 maxlength = 115
% 12.09/12.45 maxnrvars = 195
% 12.09/12.45 excuselevel = 1
% 12.09/12.45 increasemaxweight = 1
% 12.09/12.45
% 12.09/12.45 maxselected = 10000000
% 12.09/12.45 maxnrclauses = 10000000
% 12.09/12.45
% 12.09/12.45 showgenerated = 0
% 12.09/12.45 showkept = 0
% 12.09/12.45 showselected = 0
% 12.09/12.45 showdeleted = 0
% 12.09/12.45 showresimp = 1
% 12.09/12.45 showstatus = 2000
% 12.09/12.45
% 12.09/12.45 prologoutput = 1
% 12.09/12.45 nrgoals = 5000000
% 12.09/12.45 totalproof = 1
% 12.09/12.45
% 12.09/12.45 Symbols occurring in the translation:
% 12.09/12.45
% 12.09/12.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.09/12.45 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 12.09/12.45 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 12.09/12.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.09/12.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.09/12.45 one [40, 0] (w:1, o:7, a:1, s:1, b:0),
% 12.09/12.45 product [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 12.09/12.45 difference [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 12.09/12.45 quotient [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 12.09/12.45 i [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 12.09/12.45 j [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 12.09/12.45 eta [48, 1] (w:1, o:24, a:1, s:1, b:0),
% 12.09/12.45 t [49, 2] (w:1, o:54, a:1, s:1, b:0),
% 12.09/12.45 a [50, 3] (w:1, o:55, a:1, s:1, b:0),
% 12.09/12.45 c [51, 2] (w:1, o:51, a:1, s:1, b:0),
% 12.09/12.45 x0 [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 12.09/12.45 x1 [55, 0] (w:1, o:16, a:1, s:1, b:0).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Starting Search:
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 18671
% 12.09/12.45 Kept: 2010
% 12.09/12.45 Inuse: 345
% 12.09/12.45 Deleted: 141
% 12.09/12.45 Deletedinuse: 37
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 57198
% 12.09/12.45 Kept: 4048
% 12.09/12.45 Inuse: 581
% 12.09/12.45 Deleted: 328
% 12.09/12.45 Deletedinuse: 144
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 130603
% 12.09/12.45 Kept: 6064
% 12.09/12.45 Inuse: 888
% 12.09/12.45 Deleted: 573
% 12.09/12.45 Deletedinuse: 214
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 191286
% 12.09/12.45 Kept: 8071
% 12.09/12.45 Inuse: 1021
% 12.09/12.45 Deleted: 699
% 12.09/12.45 Deletedinuse: 323
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 266572
% 12.09/12.45 Kept: 10077
% 12.09/12.45 Inuse: 1201
% 12.09/12.45 Deleted: 795
% 12.09/12.45 Deletedinuse: 376
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 359698
% 12.09/12.45 Kept: 12079
% 12.09/12.45 Inuse: 1382
% 12.09/12.45 Deleted: 833
% 12.09/12.45 Deletedinuse: 376
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 440626
% 12.09/12.45 Kept: 14084
% 12.09/12.45 Inuse: 1539
% 12.09/12.45 Deleted: 868
% 12.09/12.45 Deletedinuse: 377
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 549753
% 12.09/12.45 Kept: 16084
% 12.09/12.45 Inuse: 1718
% 12.09/12.45 Deleted: 966
% 12.09/12.45 Deletedinuse: 428
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 675585
% 12.09/12.45 Kept: 18084
% 12.09/12.45 Inuse: 1961
% 12.09/12.45 Deleted: 1168
% 12.09/12.45 Deletedinuse: 551
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying clauses:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 822859
% 12.09/12.45 Kept: 20829
% 12.09/12.45 Inuse: 2228
% 12.09/12.45 Deleted: 8003
% 12.09/12.45 Deletedinuse: 677
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 1011434
% 12.09/12.45 Kept: 22893
% 12.09/12.45 Inuse: 2423
% 12.09/12.45 Deleted: 8109
% 12.09/12.45 Deletedinuse: 773
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 1154253
% 12.09/12.45 Kept: 24894
% 12.09/12.45 Inuse: 2544
% 12.09/12.45 Deleted: 8214
% 12.09/12.45 Deletedinuse: 877
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 1303194
% 12.09/12.45 Kept: 26926
% 12.09/12.45 Inuse: 2715
% 12.09/12.45 Deleted: 8254
% 12.09/12.45 Deletedinuse: 902
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 1495379
% 12.09/12.45 Kept: 28927
% 12.09/12.45 Inuse: 2930
% 12.09/12.45 Deleted: 8437
% 12.09/12.45 Deletedinuse: 1036
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 1611076
% 12.09/12.45 Kept: 30940
% 12.09/12.45 Inuse: 3078
% 12.09/12.45 Deleted: 8548
% 12.09/12.45 Deletedinuse: 1102
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 1665626
% 12.09/12.45 Kept: 32951
% 12.09/12.45 Inuse: 3128
% 12.09/12.45 Deleted: 8572
% 12.09/12.45 Deletedinuse: 1114
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 1813636
% 12.09/12.45 Kept: 34951
% 12.09/12.45 Inuse: 3292
% 12.09/12.45 Deleted: 9109
% 12.09/12.45 Deletedinuse: 1570
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 2004730
% 12.09/12.45 Kept: 36959
% 12.09/12.45 Inuse: 3529
% 12.09/12.45 Deleted: 9412
% 12.09/12.45 Deletedinuse: 1632
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 2200044
% 12.09/12.45 Kept: 38966
% 12.09/12.45 Inuse: 3708
% 12.09/12.45 Deleted: 9519
% 12.09/12.45 Deletedinuse: 1647
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45 Resimplifying clauses:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Intermediate Status:
% 12.09/12.45 Generated: 2448212
% 12.09/12.45 Kept: 42329
% 12.09/12.45 Inuse: 3906
% 12.09/12.45 Deleted: 23266
% 12.09/12.45 Deletedinuse: 1661
% 12.09/12.45
% 12.09/12.45 Resimplifying inuse:
% 12.09/12.45 Done
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 Bliksems!, er is een bewijs:
% 12.09/12.45 % SZS status Unsatisfiable
% 12.09/12.45 % SZS output start Refutation
% 12.09/12.45
% 12.09/12.45 clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference( X
% 12.09/12.45 , product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) ), X
% 12.09/12.45 ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X ) )
% 12.09/12.45 , Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 14, [ =( product( X, product( Y, eta( X ) ) ), product( product( X
% 12.09/12.45 , Y ), eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.45 eta( X ), Y ), Z ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 16, [ =( product( j( X ), i( X ) ), quotient( j( X ), X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 20, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 21, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 22, [ =( product( product( X, product( Y, Z ) ), a( X, Y, Z ) ),
% 12.09/12.45 product( product( X, Y ), Z ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 23, [ =( product( product( X, Y ), c( Y, X ) ), product( Y, X ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 24, [ =( product( c( X, Y ), product( Z, T ) ), product( product( c(
% 12.09/12.45 X, Y ), Z ), T ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 27, [ =( product( X, product( Y, a( Z, T, U ) ) ), product( product(
% 12.09/12.45 X, Y ), a( Z, T, U ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 28, [ =( product( a( X, Y, Z ), difference( Z, product( a( Z, X, Y
% 12.09/12.45 ), Z ) ) ), one ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 29, [ =( a( X, j( Y ), Z ), a( X, i( Y ), Z ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 30, [ =( a( j( X ), Y, Z ), a( i( X ), Y, Z ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 31, [ =( a( i( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 32, [ ~( =( a( x0, x1, x1 ), a( x1, x1, x0 ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 36, [ =( difference( one, X ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 39, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 40, [ =( difference( X, X ), one ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 43, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 44, [ =( quotient( X, X ), one ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 45, [ =( difference( difference( Z, product( product( Z, X ), Y ) )
% 12.09/12.45 , product( X, product( Y, Z ) ) ), Z ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 47, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 12.09/12.45 quotient( Y, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 50, [ =( product( difference( Z, product( product( Z, X ), Y ) ), Z
% 12.09/12.45 ), product( X, product( Y, Z ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 52, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y )
% 12.09/12.45 ) ), quotient( product( Z, X ), Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 53, [ =( difference( Y, product( product( Y, i( product( X, Y ) ) )
% 12.09/12.45 , X ) ), quotient( eta( product( X, Y ) ), Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 54, [ =( difference( X, product( product( X, Y ), i( X ) ) ),
% 12.09/12.45 quotient( product( Y, eta( X ) ), X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 55, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 61, [ =( quotient( difference( X, Y ), Y ), difference( product( Y
% 12.09/12.45 , X ), Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 62, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 12.09/12.45 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 64, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 66, [ =( difference( X, eta( X ) ), j( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 69, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 73, [ =( difference( t( X, Y ), product( X, Y ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 78, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 91, [ =( product( j( j( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 92, [ =( difference( X, product( j( j( X ) ), Y ) ), product( eta(
% 12.09/12.45 X ), Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 94, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 96, [ =( quotient( j( j( X ) ), X ), t( X, eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 98, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 103, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 104, [ =( quotient( j( X ), eta( X ) ), i( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 105, [ =( difference( i( X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 106, [ =( quotient( X, eta( X ) ), i( i( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 108, [ =( difference( i( i( X ) ), X ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 117, [ =( quotient( product( product( X, Y ), eta( X ) ), product(
% 12.09/12.45 Y, eta( X ) ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 130, [ =( difference( Z, product( product( Z, eta( X ) ), Y ) ),
% 12.09/12.45 product( eta( X ), Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 133, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 134, [ =( product( product( eta( Y ), X ), i( X ) ), eta( Y ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 135, [ =( difference( eta( X ), product( product( eta( X ), Y ), Z
% 12.09/12.45 ) ), product( Y, Z ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 142, [ =( quotient( product( Y, X ), eta( X ) ), product( Y, i( i(
% 12.09/12.45 X ) ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 152, [ =( product( X, i( i( X ) ) ), quotient( X, i( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 154, [ =( quotient( j( j( X ) ), j( X ) ), product( j( j( X ) ), X
% 12.09/12.45 ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 180, [ =( product( j( X ), i( eta( X ) ) ), i( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 182, [ =( quotient( X, i( eta( X ) ) ), j( j( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 187, [ =( product( X, i( eta( X ) ) ), i( i( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 188, [ =( quotient( i( X ), i( eta( X ) ) ), j( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 189, [ =( difference( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 190, [ =( difference( X, i( i( X ) ) ), i( eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 192, [ =( quotient( i( i( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 208, [ =( i( i( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 231, [ =( j( j( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 232, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 235, [ =( eta( eta( X ) ), one ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 240, [ =( product( i( eta( X ) ), i( X ) ), j( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 249, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 252, [ =( product( eta( X ), j( j( X ) ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 258, [ =( quotient( j( Y ), j( product( Y, X ) ) ), j( j( X ) ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 261, [ =( product( j( j( Y ) ), j( X ) ), j( quotient( X, Y ) ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 267, [ =( product( eta( X ), X ), i( i( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 275, [ =( product( j( j( X ) ), X ), quotient( X, i( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 290, [ =( product( product( product( eta( T ), X ), product( Y, Z )
% 12.09/12.45 ), a( X, Y, Z ) ), product( product( product( eta( T ), X ), Y ), Z ) )
% 12.09/12.45 ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 303, [ =( difference( product( X, product( Y, Z ) ), product(
% 12.09/12.45 product( X, Y ), Z ) ), a( X, Y, Z ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 338, [ =( product( eta( X ), c( j( X ), X ) ), one ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 345, [ =( difference( product( X, Y ), product( Y, X ) ), c( Y, X )
% 12.09/12.45 ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 386, [ =( difference( c( X, Y ), product( product( c( X, Y ), Z ),
% 12.09/12.45 T ) ), product( Z, T ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 461, [ =( j( quotient( j( X ), X ) ), product( X, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 479, [ =( product( i( X ), i( X ) ), j( quotient( X, i( X ) ) ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 480, [ =( quotient( j( X ), X ), i( product( X, X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 490, [ =( difference( Z, product( a( Z, X, Y ), Z ) ), i( a( X, Y,
% 12.09/12.45 Z ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 494, [ =( product( i( product( X, X ) ), X ), j( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 513, [ =( c( j( X ), X ), i( eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 514, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 520, [ =( a( Y, Z, j( X ) ), a( X, Y, Z ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 552, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) ) )
% 12.09/12.45 ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 577, [ =( difference( X, i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 578, [ =( quotient( quotient( Y, X ), j( X ) ), product( j( X ),
% 12.09/12.45 product( X, Y ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 581, [ =( quotient( i( X ), X ), difference( X, j( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 582, [ =( product( product( X, Y ), j( X ) ), product( X, quotient(
% 12.09/12.45 Y, X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 587, [ =( i( product( j( X ), j( X ) ) ), difference( j( X ), X ) )
% 12.09/12.45 ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 588, [ =( product( X, i( product( X, X ) ) ), i( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 590, [ =( product( difference( X, j( X ) ), X ), i( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 631, [ =( quotient( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 637, [ =( product( i( X ), product( Y, X ) ), product( difference(
% 12.09/12.45 X, Y ), X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 641, [ =( t( X, eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 642, [ =( difference( i( eta( X ) ), j( j( X ) ) ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 674, [ =( a( Z, X, i( Y ) ), a( Y, Z, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 678, [ =( quotient( X, i( X ) ), difference( j( X ), X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 693, [ =( product( product( X, eta( Y ) ), i( eta( Y ) ) ), X ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 707, [ =( difference( product( X, X ), X ), j( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 712, [ =( quotient( X, j( X ) ), product( X, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 713, [ =( j( difference( j( X ), X ) ), difference( X, j( X ) ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 720, [ =( product( X, i( eta( Y ) ) ), quotient( X, eta( Y ) ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 725, [ =( quotient( difference( Y, i( i( X ) ) ), X ), difference(
% 12.09/12.45 product( X, Y ), j( j( X ) ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 731, [ =( difference( product( X, Y ), eta( X ) ), quotient( i( Y )
% 12.09/12.45 , X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 733, [ =( difference( product( Y, product( X, Y ) ), product( Y, X
% 12.09/12.45 ) ), j( Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 752, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 785, [ =( product( X, quotient( eta( X ), Y ) ), j( quotient( Y, X
% 12.09/12.45 ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 787, [ =( quotient( eta( Y ), i( X ) ), product( eta( Y ), X ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 790, [ =( difference( product( eta( X ), Y ), eta( X ) ), i( Y ) )
% 12.09/12.45 ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 791, [ =( quotient( i( Y ), eta( X ) ), i( product( eta( X ), Y ) )
% 12.09/12.45 ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 793, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X ) )
% 12.09/12.45 ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 797, [ =( a( Z, T, difference( Y, eta( X ) ) ), a( difference( eta(
% 12.09/12.45 X ), Y ), Z, T ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 814, [ =( difference( i( Y ), eta( product( eta( X ), Y ) ) ), Y )
% 12.09/12.45 ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 845, [ =( difference( i( X ), X ), product( X, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 846, [ =( i( difference( X, j( X ) ) ), difference( j( X ), X ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 849, [ =( quotient( X, product( X, X ) ), i( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 850, [ =( product( j( X ), j( X ) ), difference( X, j( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 940, [ =( quotient( eta( X ), product( Y, X ) ), difference( X, j(
% 12.09/12.45 Y ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 963, [ =( quotient( j( j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 995, [ =( eta( product( eta( Y ), X ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1000, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1026, [ =( eta( difference( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1027, [ =( product( j( X ), i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1054, [ =( quotient( eta( Y ), quotient( eta( X ), Y ) ), i(
% 12.09/12.45 quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1249, [ =( eta( difference( X, j( Y ) ) ), eta( product( Y, X ) ) )
% 12.09/12.45 ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1259, [ =( difference( i( eta( Y ) ), j( X ) ), j( quotient( X, eta(
% 12.09/12.45 Y ) ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1272, [ =( eta( product( Y, eta( X ) ) ), eta( Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1311, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1365, [ =( difference( quotient( X, eta( Y ) ), eta( X ) ), j(
% 12.09/12.45 quotient( X, eta( Y ) ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1449, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X ) )
% 12.09/12.45 ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1457, [ =( product( product( X, Y ), quotient( i( Y ), X ) ), eta(
% 12.09/12.45 X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1507, [ =( i( quotient( eta( Y ), X ) ), quotient( X, eta( Y ) ) )
% 12.09/12.45 ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1520, [ =( quotient( eta( Y ), product( X, eta( Y ) ) ), j( X ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 1523, [ =( product( Y, i( i( X ) ) ), i( difference( X, j( Y ) ) )
% 12.09/12.45 ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1688, [ =( quotient( product( eta( Y ), Z ), X ), product( eta( Y )
% 12.09/12.45 , quotient( Z, X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1790, [ =( c( i( product( X, X ) ), X ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1792, [ =( c( X, difference( X, j( X ) ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1793, [ =( c( difference( X, j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1805, [ =( c( difference( j( X ), X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 1950, [ =( i( difference( j( X ), j( Y ) ) ), product( Y, i( X ) )
% 12.09/12.45 ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2247, [ =( difference( j( X ), j( Y ) ), j( product( Y, i( X ) ) )
% 12.09/12.45 ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2478, [ =( c( j( X ), product( X, X ) ), eta( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2485, [ =( product( j( X ), product( X, X ) ), j( j( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2491, [ =( j( j( a( X, Y, Z ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2497, [ =( quotient( j( j( X ) ), product( X, X ) ), j( X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2566, [ =( j( a( X, Y, Z ) ), i( a( X, Y, Z ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2568, [ =( i( eta( a( X, Y, Z ) ) ), eta( a( X, Y, Z ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2572, [ =( eta( a( X, Y, Z ) ), one ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2826, [ =( product( product( Y, j( X ) ), quotient( X, Y ) ), eta(
% 12.09/12.45 Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2832, [ =( quotient( eta( X ), quotient( Y, X ) ), product( X, j( Y
% 12.09/12.45 ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 2986, [ =( product( Y, j( product( X, Y ) ) ), quotient( eta( Y ),
% 12.09/12.45 X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 3003, [ =( quotient( quotient( eta( X ), Y ), j( product( Y, X ) )
% 12.09/12.45 ), X ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 3948, [ =( quotient( j( X ), j( Y ) ), j( j( difference( X, Y ) ) )
% 12.09/12.45 ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 4744, [ =( a( product( eta( X ), Y ), Z, T ), a( Y, Z, T ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 5116, [ =( difference( product( j( X ), product( X, Y ) ), Y ), a(
% 12.09/12.45 X, Y, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 5118, [ =( difference( product( X, product( i( X ), Y ) ), Y ), a(
% 12.09/12.45 X, i( X ), Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 11401, [ =( t( X, i( a( Y, Z, X ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 14959, [ =( product( difference( Y, quotient( X, Y ) ), Y ),
% 12.09/12.45 product( i( Y ), X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 17665, [ =( quotient( product( X, Y ), j( X ) ), product( X,
% 12.09/12.45 product( Y, X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 19782, [ =( product( X, product( difference( X, Y ), X ) ),
% 12.09/12.45 quotient( Y, j( X ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 21734, [ =( a( Z, T, quotient( Y, eta( X ) ) ), a( Z, T, Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 21741, [ =( a( difference( eta( X ), Y ), Z, T ), a( Y, Z, T ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 21753, [ =( a( Z, T, difference( X, eta( Y ) ) ), a( X, Z, T ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 21765, [ =( a( T, difference( eta( X ), Y ), Z ), a( T, Y, Z ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 21776, [ =( a( Y, difference( Z, eta( T ) ), X ), a( Z, i( X ), Y )
% 12.09/12.45 ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 21842, [ =( a( T, X, difference( eta( Y ), Z ) ), a( T, X, Z ) ) ]
% 12.09/12.45 )
% 12.09/12.45 .
% 12.09/12.45 clause( 27074, [ =( product( X, product( i( X ), Y ) ), product( j( X ),
% 12.09/12.45 product( X, Y ) ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 42309, [ =( a( X, i( X ), Y ), a( X, Y, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 42335, [ =( a( Y, i( Z ), Y ), a( Y, Z, Y ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 42340, [ =( a( X, X, Y ), a( Y, X, X ) ) ] )
% 12.09/12.45 .
% 12.09/12.45 clause( 42344, [] )
% 12.09/12.45 .
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 % SZS output end Refutation
% 12.09/12.45 found a proof!
% 12.09/12.45
% 12.09/12.45 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.09/12.45
% 12.09/12.45 initialclauses(
% 12.09/12.45 [ clause( 42346, [ =( product( X, one ), X ) ] )
% 12.09/12.45 , clause( 42347, [ =( product( one, X ), X ) ] )
% 12.09/12.45 , clause( 42348, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.45 , clause( 42349, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.45 , clause( 42350, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.45 , clause( 42351, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.45 , clause( 42352, [ =( difference( X, product( product( X, Y ), Z ) ),
% 12.09/12.45 quotient( product( Y, product( Z, X ) ), X ) ) ] )
% 12.09/12.45 , clause( 42353, [ =( difference( product( X, Y ), product( X, product( Y,
% 12.09/12.45 Z ) ) ), quotient( quotient( product( Z, product( X, Y ) ), Y ), X ) ) ]
% 12.09/12.45 )
% 12.09/12.45 , clause( 42354, [ =( i( X ), difference( X, one ) ) ] )
% 12.09/12.45 , clause( 42355, [ =( j( X ), quotient( one, X ) ) ] )
% 12.09/12.45 , clause( 42356, [ =( product( i( X ), X ), product( X, j( X ) ) ) ] )
% 12.09/12.45 , clause( 42357, [ =( eta( X ), product( i( X ), X ) ) ] )
% 12.09/12.45 , clause( 42358, [ =( product( i( i( X ) ), Y ), product( eta( X ), product(
% 12.09/12.45 X, Y ) ) ) ] )
% 12.09/12.45 , clause( 42359, [ =( product( X, product( eta( X ), Y ) ), product( j( j(
% 12.09/12.45 X ) ), Y ) ) ] )
% 12.09/12.45 , clause( 42360, [ =( product( X, product( Y, eta( X ) ) ), product(
% 12.09/12.45 product( X, Y ), eta( X ) ) ) ] )
% 12.09/12.45 , clause( 42361, [ =( product( eta( X ), product( Y, Z ) ), product(
% 12.09/12.45 product( eta( X ), Y ), Z ) ) ] )
% 12.09/12.45 , clause( 42362, [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) ) ]
% 12.09/12.45 )
% 12.09/12.45 , clause( 42363, [ =( product( product( product( quotient( j( X ), X ),
% 12.09/12.45 product( X, X ) ), Y ), Z ), product( product( quotient( j( X ), X ),
% 12.09/12.45 product( X, X ) ), product( Y, Z ) ) ) ] )
% 12.09/12.45 , clause( 42364, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 12.09/12.45 , clause( 42365, [ =( t( eta( X ), product( Y, Z ) ), product( t( eta( X )
% 12.09/12.45 , Y ), t( eta( X ), Z ) ) ) ] )
% 12.09/12.45 , clause( 42366, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y )
% 12.09/12.45 ) ] )
% 12.09/12.45 , clause( 42367, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y )
% 12.09/12.45 ) ] )
% 12.09/12.45 , clause( 42368, [ =( product( product( X, product( Y, Z ) ), a( X, Y, Z )
% 12.09/12.45 ), product( product( X, Y ), Z ) ) ] )
% 12.09/12.45 , clause( 42369, [ =( product( product( X, Y ), c( Y, X ) ), product( Y, X
% 12.09/12.45 ) ) ] )
% 12.09/12.45 , clause( 42370, [ =( product( c( X, Y ), product( Z, T ) ), product(
% 12.09/12.45 product( c( X, Y ), Z ), T ) ) ] )
% 12.09/12.45 , clause( 42371, [ =( product( product( X, Y ), c( Z, T ) ), product( X,
% 12.09/12.45 product( Y, c( Z, T ) ) ) ) ] )
% 12.09/12.45 , clause( 42372, [ =( product( a( X, Y, Z ), product( T, U ) ), product(
% 12.09/12.45 product( a( X, Y, Z ), T ), U ) ) ] )
% 12.09/12.45 , clause( 42373, [ =( product( product( X, Y ), a( Z, T, U ) ), product( X
% 12.09/12.45 , product( Y, a( Z, T, U ) ) ) ) ] )
% 12.09/12.45 , clause( 42374, [ =( product( a( X, Y, Z ), difference( Z, product( a( Z,
% 12.09/12.45 X, Y ), Z ) ) ), one ) ] )
% 12.09/12.45 , clause( 42375, [ =( a( X, i( Y ), Z ), a( X, j( Y ), Z ) ) ] )
% 12.09/12.45 , clause( 42376, [ =( a( i( X ), Y, Z ), a( j( X ), Y, Z ) ) ] )
% 12.09/12.45 , clause( 42377, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.45 , clause( 42378, [ ~( =( a( x0, x1, x1 ), a( x1, x1, x0 ) ) ) ] )
% 12.09/12.45 ] ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.45 , clause( 42346, [ =( product( X, one ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.45 , clause( 42347, [ =( product( one, X ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.45 , clause( 42348, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.45 , clause( 42349, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.45 , clause( 42350, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.45 , clause( 42351, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42406, [ =( quotient( product( Y, product( Z, X ) ), X ),
% 12.09/12.45 difference( X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , clause( 42352, [ =( difference( X, product( product( X, Y ), Z ) ),
% 12.09/12.45 quotient( product( Y, product( Z, X ) ), X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference( X
% 12.09/12.45 , product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , clause( 42406, [ =( quotient( product( Y, product( Z, X ) ), X ),
% 12.09/12.45 difference( X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42425, [ =( difference( product( X, Y ), product( X, product( Y, Z
% 12.09/12.45 ) ) ), quotient( difference( Y, product( product( Y, Z ), X ) ), X ) ) ]
% 12.09/12.45 )
% 12.09/12.45 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 12.09/12.45 X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , 0, clause( 42353, [ =( difference( product( X, Y ), product( X, product(
% 12.09/12.45 Y, Z ) ) ), quotient( quotient( product( Z, product( X, Y ) ), Y ), X ) )
% 12.09/12.45 ] )
% 12.09/12.45 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.45 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42426, [ =( quotient( difference( Y, product( product( Y, Z ), X )
% 12.09/12.45 ), X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 12.09/12.45 )
% 12.09/12.45 , clause( 42425, [ =( difference( product( X, Y ), product( X, product( Y,
% 12.09/12.45 Z ) ) ), quotient( difference( Y, product( product( Y, Z ), X ) ), X ) )
% 12.09/12.45 ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) ), X
% 12.09/12.45 ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ] )
% 12.09/12.45 , clause( 42426, [ =( quotient( difference( Y, product( product( Y, Z ), X
% 12.09/12.45 ) ), X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) )
% 12.09/12.45 ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42435, [ =( difference( X, one ), i( X ) ) ] )
% 12.09/12.45 , clause( 42354, [ =( i( X ), difference( X, one ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 12.09/12.45 , clause( 42435, [ =( difference( X, one ), i( X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42445, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.45 , clause( 42355, [ =( j( X ), quotient( one, X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.45 , clause( 42445, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42456, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 12.09/12.45 , clause( 42356, [ =( product( i( X ), X ), product( X, j( X ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 12.09/12.45 , clause( 42456, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42468, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.45 , clause( 42357, [ =( eta( X ), product( i( X ), X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.45 , clause( 42468, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X ) )
% 12.09/12.45 , Y ) ) ] )
% 12.09/12.45 , clause( 42359, [ =( product( X, product( eta( X ), Y ) ), product( j( j(
% 12.09/12.45 X ) ), Y ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 14, [ =( product( X, product( Y, eta( X ) ) ), product( product( X
% 12.09/12.45 , Y ), eta( X ) ) ) ] )
% 12.09/12.45 , clause( 42360, [ =( product( X, product( Y, eta( X ) ) ), product(
% 12.09/12.45 product( X, Y ), eta( X ) ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.45 eta( X ), Y ), Z ) ) ] )
% 12.09/12.45 , clause( 42361, [ =( product( eta( X ), product( Y, Z ) ), product(
% 12.09/12.45 product( eta( X ), Y ), Z ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42530, [ =( product( j( X ), i( X ) ), quotient( j( X ), X ) ) ] )
% 12.09/12.45 , clause( 42362, [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) ) ]
% 12.09/12.45 )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 16, [ =( product( j( X ), i( X ) ), quotient( j( X ), X ) ) ] )
% 12.09/12.45 , clause( 42530, [ =( product( j( X ), i( X ) ), quotient( j( X ), X ) ) ]
% 12.09/12.45 )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42549, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 12.09/12.45 , clause( 42364, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 12.09/12.45 , clause( 42549, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 20, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y ) ) ]
% 12.09/12.45 )
% 12.09/12.45 , clause( 42366, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y )
% 12.09/12.45 ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 21, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ]
% 12.09/12.45 )
% 12.09/12.45 , clause( 42367, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y )
% 12.09/12.45 ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 22, [ =( product( product( X, product( Y, Z ) ), a( X, Y, Z ) ),
% 12.09/12.45 product( product( X, Y ), Z ) ) ] )
% 12.09/12.45 , clause( 42368, [ =( product( product( X, product( Y, Z ) ), a( X, Y, Z )
% 12.09/12.45 ), product( product( X, Y ), Z ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 23, [ =( product( product( X, Y ), c( Y, X ) ), product( Y, X ) ) ]
% 12.09/12.45 )
% 12.09/12.45 , clause( 42369, [ =( product( product( X, Y ), c( Y, X ) ), product( Y, X
% 12.09/12.45 ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 24, [ =( product( c( X, Y ), product( Z, T ) ), product( product( c(
% 12.09/12.45 X, Y ), Z ), T ) ) ] )
% 12.09/12.45 , clause( 42370, [ =( product( c( X, Y ), product( Z, T ) ), product(
% 12.09/12.45 product( c( X, Y ), Z ), T ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42692, [ =( product( X, product( Y, a( Z, T, U ) ) ), product(
% 12.09/12.45 product( X, Y ), a( Z, T, U ) ) ) ] )
% 12.09/12.45 , clause( 42373, [ =( product( product( X, Y ), a( Z, T, U ) ), product( X
% 12.09/12.45 , product( Y, a( Z, T, U ) ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 12.09/12.45 :=( U, U )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 27, [ =( product( X, product( Y, a( Z, T, U ) ) ), product( product(
% 12.09/12.45 X, Y ), a( Z, T, U ) ) ) ] )
% 12.09/12.45 , clause( 42692, [ =( product( X, product( Y, a( Z, T, U ) ) ), product(
% 12.09/12.45 product( X, Y ), a( Z, T, U ) ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.09/12.45 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 28, [ =( product( a( X, Y, Z ), difference( Z, product( a( Z, X, Y
% 12.09/12.45 ), Z ) ) ), one ) ] )
% 12.09/12.45 , clause( 42374, [ =( product( a( X, Y, Z ), difference( Z, product( a( Z,
% 12.09/12.45 X, Y ), Z ) ) ), one ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42751, [ =( a( X, j( Y ), Z ), a( X, i( Y ), Z ) ) ] )
% 12.09/12.45 , clause( 42375, [ =( a( X, i( Y ), Z ), a( X, j( Y ), Z ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 29, [ =( a( X, j( Y ), Z ), a( X, i( Y ), Z ) ) ] )
% 12.09/12.45 , clause( 42751, [ =( a( X, j( Y ), Z ), a( X, i( Y ), Z ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42782, [ =( a( j( X ), Y, Z ), a( i( X ), Y, Z ) ) ] )
% 12.09/12.45 , clause( 42376, [ =( a( i( X ), Y, Z ), a( j( X ), Y, Z ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 30, [ =( a( j( X ), Y, Z ), a( i( X ), Y, Z ) ) ] )
% 12.09/12.45 , clause( 42782, [ =( a( j( X ), Y, Z ), a( i( X ), Y, Z ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42849, [ =( a( i( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.45 , clause( 30, [ =( a( j( X ), Y, Z ), a( i( X ), Y, Z ) ) ] )
% 12.09/12.45 , 0, clause( 42377, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.45 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 31, [ =( a( i( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.45 , clause( 42849, [ =( a( i( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 32, [ ~( =( a( x0, x1, x1 ), a( x1, x1, x0 ) ) ) ] )
% 12.09/12.45 , clause( 42378, [ ~( =( a( x0, x1, x1 ), a( x1, x1, x0 ) ) ) ] )
% 12.09/12.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42885, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 12.09/12.45 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42886, [ =( one, product( j( X ), X ) ) ] )
% 12.09/12.45 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.45 , 0, clause( 42885, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 12.09/12.45 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 12.09/12.45 :=( Y, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42887, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.45 , clause( 42886, [ =( one, product( j( X ), X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.45 , clause( 42887, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42889, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.45 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42890, [ =( one, product( X, i( X ) ) ) ] )
% 12.09/12.45 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 12.09/12.45 , 0, clause( 42889, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.45 :=( Y, one )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42891, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.45 , clause( 42890, [ =( one, product( X, i( X ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.45 , clause( 42891, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42892, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.45 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42894, [ =( X, difference( one, X ) ) ] )
% 12.09/12.45 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.45 , 0, clause( 42892, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.45 , 0, 2, substitution( 0, [ :=( X, difference( one, X ) )] ), substitution(
% 12.09/12.45 1, [ :=( X, one ), :=( Y, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42895, [ =( difference( one, X ), X ) ] )
% 12.09/12.45 , clause( 42894, [ =( X, difference( one, X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 36, [ =( difference( one, X ), X ) ] )
% 12.09/12.45 , clause( 42895, [ =( difference( one, X ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42897, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.45 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42898, [ =( X, difference( quotient( Y, X ), Y ) ) ] )
% 12.09/12.45 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.45 , 0, clause( 42897, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.45 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.45 :=( X, quotient( Y, X ) ), :=( Y, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42899, [ =( difference( quotient( Y, X ), Y ), X ) ] )
% 12.09/12.45 , clause( 42898, [ =( X, difference( quotient( Y, X ), Y ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 39, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 12.09/12.45 , clause( 42899, [ =( difference( quotient( Y, X ), Y ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42901, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.45 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42902, [ =( one, difference( X, X ) ) ] )
% 12.09/12.45 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.45 , 0, clause( 42901, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.45 :=( Y, one )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42903, [ =( difference( X, X ), one ) ] )
% 12.09/12.45 , clause( 42902, [ =( one, difference( X, X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 40, [ =( difference( X, X ), one ) ] )
% 12.09/12.45 , clause( 42903, [ =( difference( X, X ), one ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42905, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.45 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42907, [ =( X, difference( j( X ), one ) ) ] )
% 12.09/12.45 , clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.45 , 0, clause( 42905, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.45 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.45 ), :=( Y, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42908, [ =( X, i( j( X ) ) ) ] )
% 12.09/12.45 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 12.09/12.45 , 0, clause( 42907, [ =( X, difference( j( X ), one ) ) ] )
% 12.09/12.45 , 0, 2, substitution( 0, [ :=( X, j( X ) )] ), substitution( 1, [ :=( X, X
% 12.09/12.45 )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42909, [ =( i( j( X ) ), X ) ] )
% 12.09/12.45 , clause( 42908, [ =( X, i( j( X ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.45 , clause( 42909, [ =( i( j( X ) ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42911, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.45 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42913, [ =( X, quotient( one, i( X ) ) ) ] )
% 12.09/12.45 , clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.45 , 0, clause( 42911, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.45 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.45 :=( Y, i( X ) )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42914, [ =( X, j( i( X ) ) ) ] )
% 12.09/12.45 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.45 , 0, clause( 42913, [ =( X, quotient( one, i( X ) ) ) ] )
% 12.09/12.45 , 0, 2, substitution( 0, [ :=( X, i( X ) )] ), substitution( 1, [ :=( X, X
% 12.09/12.45 )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42915, [ =( j( i( X ) ), X ) ] )
% 12.09/12.45 , clause( 42914, [ =( X, j( i( X ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.45 , clause( 42915, [ =( j( i( X ) ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42917, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.45 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42918, [ =( X, quotient( Y, difference( X, Y ) ) ) ] )
% 12.09/12.45 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.45 , 0, clause( 42917, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.45 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.45 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42919, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 12.09/12.45 , clause( 42918, [ =( X, quotient( Y, difference( X, Y ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 43, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 12.09/12.45 , clause( 42919, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42921, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.45 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42922, [ =( one, quotient( X, X ) ) ] )
% 12.09/12.45 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.45 , 0, clause( 42921, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.45 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 12.09/12.45 :=( Y, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42923, [ =( quotient( X, X ), one ) ] )
% 12.09/12.45 , clause( 42922, [ =( one, quotient( X, X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 44, [ =( quotient( X, X ), one ) ] )
% 12.09/12.45 , clause( 42923, [ =( quotient( X, X ), one ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42925, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.45 , clause( 39, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42926, [ =( X, difference( difference( X, product( product( X, Y )
% 12.09/12.45 , Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 12.09/12.45 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 12.09/12.45 X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , 0, clause( 42925, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.45 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 substitution( 1, [ :=( X, product( Y, product( Z, X ) ) ), :=( Y, X )] )
% 12.09/12.45 ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42927, [ =( difference( difference( X, product( product( X, Y ), Z
% 12.09/12.45 ) ), product( Y, product( Z, X ) ) ), X ) ] )
% 12.09/12.45 , clause( 42926, [ =( X, difference( difference( X, product( product( X, Y
% 12.09/12.45 ), Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 45, [ =( difference( difference( Z, product( product( Z, X ), Y ) )
% 12.09/12.45 , product( X, product( Y, Z ) ) ), Z ) ] )
% 12.09/12.45 , clause( 42927, [ =( difference( difference( X, product( product( X, Y ),
% 12.09/12.45 Z ) ), product( Y, product( Z, X ) ) ), X ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42929, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.45 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.45 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 12.09/12.45 X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42933, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 12.09/12.45 quotient( product( Y, one ), X ) ) ] )
% 12.09/12.45 , clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.45 , 0, clause( 42929, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.45 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.45 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 12.09/12.45 :=( Y, j( X ) ), :=( Z, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42934, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 12.09/12.45 quotient( Y, X ) ) ] )
% 12.09/12.45 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.45 , 0, clause( 42933, [ =( difference( X, product( product( X, Y ), j( X ) )
% 12.09/12.45 ), quotient( product( Y, one ), X ) ) ] )
% 12.09/12.45 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.45 :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 47, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 12.09/12.45 quotient( Y, X ) ) ] )
% 12.09/12.45 , clause( 42934, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 12.09/12.45 quotient( Y, X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42937, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 12.09/12.45 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42944, [ =( product( X, product( Y, Z ) ), product( difference( Z,
% 12.09/12.45 product( product( Z, X ), Y ) ), Z ) ) ] )
% 12.09/12.45 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 12.09/12.45 X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , 0, clause( 42937, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 12.09/12.45 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.45 substitution( 1, [ :=( X, product( X, product( Y, Z ) ) ), :=( Y, Z )] )
% 12.09/12.45 ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42945, [ =( product( difference( Z, product( product( Z, X ), Y ) )
% 12.09/12.45 , Z ), product( X, product( Y, Z ) ) ) ] )
% 12.09/12.45 , clause( 42944, [ =( product( X, product( Y, Z ) ), product( difference( Z
% 12.09/12.45 , product( product( Z, X ), Y ) ), Z ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 50, [ =( product( difference( Z, product( product( Z, X ), Y ) ), Z
% 12.09/12.45 ), product( X, product( Y, Z ) ) ) ] )
% 12.09/12.45 , clause( 42945, [ =( product( difference( Z, product( product( Z, X ), Y )
% 12.09/12.45 ), Z ), product( X, product( Y, Z ) ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42947, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.45 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.45 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 12.09/12.45 X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42952, [ =( difference( X, product( product( X, Y ), quotient( Z, X
% 12.09/12.45 ) ) ), quotient( product( Y, Z ), X ) ) ] )
% 12.09/12.45 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.45 , 0, clause( 42947, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.45 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.45 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.45 :=( X, Y ), :=( Y, quotient( Z, X ) ), :=( Z, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 52, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y )
% 12.09/12.45 ) ), quotient( product( Z, X ), Y ) ) ] )
% 12.09/12.45 , clause( 42952, [ =( difference( X, product( product( X, Y ), quotient( Z
% 12.09/12.45 , X ) ) ), quotient( product( Y, Z ), X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42957, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.45 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.45 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 12.09/12.45 X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42959, [ =( difference( X, product( product( X, i( product( Y, X )
% 12.09/12.45 ) ), Y ) ), quotient( eta( product( Y, X ) ), X ) ) ] )
% 12.09/12.45 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.45 , 0, clause( 42957, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.45 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.45 , 0, 12, substitution( 0, [ :=( X, product( Y, X ) )] ), substitution( 1, [
% 12.09/12.45 :=( X, i( product( Y, X ) ) ), :=( Y, Y ), :=( Z, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 53, [ =( difference( Y, product( product( Y, i( product( X, Y ) ) )
% 12.09/12.45 , X ) ), quotient( eta( product( X, Y ) ), Y ) ) ] )
% 12.09/12.45 , clause( 42959, [ =( difference( X, product( product( X, i( product( Y, X
% 12.09/12.45 ) ) ), Y ) ), quotient( eta( product( Y, X ) ), X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42965, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.45 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.45 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 12.09/12.45 X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42968, [ =( difference( X, product( product( X, Y ), i( X ) ) ),
% 12.09/12.45 quotient( product( Y, eta( X ) ), X ) ) ] )
% 12.09/12.45 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.45 , 0, clause( 42965, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.45 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.45 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 12.09/12.45 :=( Y, i( X ) ), :=( Z, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 54, [ =( difference( X, product( product( X, Y ), i( X ) ) ),
% 12.09/12.45 quotient( product( Y, eta( X ) ), X ) ) ] )
% 12.09/12.45 , clause( 42968, [ =( difference( X, product( product( X, Y ), i( X ) ) ),
% 12.09/12.45 quotient( product( Y, eta( X ) ), X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.45 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42973, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.45 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42974, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 12.09/12.45 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.45 , 0, clause( 42973, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.45 ), :=( Y, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42975, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 12.09/12.45 , clause( 42974, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 subsumption(
% 12.09/12.45 clause( 55, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 12.09/12.45 , clause( 42975, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 12.09/12.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 eqswap(
% 12.09/12.45 clause( 42977, [ =( eta( X ), product( i( X ), X ) ) ] )
% 12.09/12.45 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.45 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42980, [ =( eta( j( X ) ), product( X, j( X ) ) ) ] )
% 12.09/12.45 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.45 , 0, clause( 42977, [ =( eta( X ), product( i( X ), X ) ) ] )
% 12.09/12.45 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.45 )] )).
% 12.09/12.45
% 12.09/12.45
% 12.09/12.45 paramod(
% 12.09/12.45 clause( 42981, [ =( eta( j( X ) ), product( i( X ), X ) ) ] )
% 12.09/12.45 , clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 12.09/12.46 , 0, clause( 42980, [ =( eta( j( X ) ), product( X, j( X ) ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 42982, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 42981, [ =( eta( j( X ) ), product( i( X ), X ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 42982, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 42985, [ =( eta( X ), eta( j( X ) ) ) ] )
% 12.09/12.46 , clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 42986, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 42985, [ =( eta( X ), eta( j( X ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 42986, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 42989, [ =( difference( product( Z, X ), product( Z, product( X, Y
% 12.09/12.46 ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) )
% 12.09/12.46 , X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 42994, [ =( difference( product( X, Y ), product( X, product( Y, i(
% 12.09/12.46 Y ) ) ) ), quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 12.09/12.46 , clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.46 , 0, clause( 42989, [ =( difference( product( Z, X ), product( Z, product(
% 12.09/12.46 X, Y ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 15, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 12.09/12.46 :=( Y, i( Y ) ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 42996, [ =( difference( product( X, Y ), product( X, one ) ),
% 12.09/12.46 quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 12.09/12.46 , clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.46 , 0, clause( 42994, [ =( difference( product( X, Y ), product( X, product(
% 12.09/12.46 Y, i( Y ) ) ) ), quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 42998, [ =( difference( product( X, Y ), product( X, one ) ),
% 12.09/12.46 quotient( difference( Y, X ), X ) ) ] )
% 12.09/12.46 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.46 , 0, clause( 42996, [ =( difference( product( X, Y ), product( X, one ) ),
% 12.09/12.46 quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 12.09/12.46 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 42999, [ =( difference( product( X, Y ), X ), quotient( difference(
% 12.09/12.46 Y, X ), X ) ) ] )
% 12.09/12.46 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.46 , 0, clause( 42998, [ =( difference( product( X, Y ), product( X, one ) ),
% 12.09/12.46 quotient( difference( Y, X ), X ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43000, [ =( quotient( difference( Y, X ), X ), difference( product(
% 12.09/12.46 X, Y ), X ) ) ] )
% 12.09/12.46 , clause( 42999, [ =( difference( product( X, Y ), X ), quotient(
% 12.09/12.46 difference( Y, X ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 61, [ =( quotient( difference( X, Y ), Y ), difference( product( Y
% 12.09/12.46 , X ), Y ) ) ] )
% 12.09/12.46 , clause( 43000, [ =( quotient( difference( Y, X ), X ), difference(
% 12.09/12.46 product( X, Y ), X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43002, [ =( difference( product( Z, X ), product( Z, product( X, Y
% 12.09/12.46 ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) )
% 12.09/12.46 , X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43005, [ =( difference( product( X, Y ), product( X, product( Y,
% 12.09/12.46 difference( Y, Z ) ) ) ), quotient( difference( Y, product( Z, X ) ), X )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, clause( 43002, [ =( difference( product( Z, X ), product( Z, product(
% 12.09/12.46 X, Y ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 12.09/12.46 :=( X, Y ), :=( Y, difference( Y, Z ) ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43007, [ =( difference( product( X, Y ), product( X, Z ) ),
% 12.09/12.46 quotient( difference( Y, product( Z, X ) ), X ) ) ] )
% 12.09/12.46 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, clause( 43005, [ =( difference( product( X, Y ), product( X, product(
% 12.09/12.46 Y, difference( Y, Z ) ) ) ), quotient( difference( Y, product( Z, X ) ),
% 12.09/12.46 X ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 12.09/12.46 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43010, [ =( quotient( difference( Y, product( Z, X ) ), X ),
% 12.09/12.46 difference( product( X, Y ), product( X, Z ) ) ) ] )
% 12.09/12.46 , clause( 43007, [ =( difference( product( X, Y ), product( X, Z ) ),
% 12.09/12.46 quotient( difference( Y, product( Z, X ) ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 62, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 12.09/12.46 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 12.09/12.46 , clause( 43010, [ =( quotient( difference( Y, product( Z, X ) ), X ),
% 12.09/12.46 difference( product( X, Y ), product( X, Z ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43014, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 12.09/12.46 , clause( 55, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43016, [ =( i( j( X ) ), quotient( eta( X ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43014, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43017, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43016, [ =( i( j( X ) ), quotient( eta( X ), j( X ) ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43018, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 12.09/12.46 , clause( 43017, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 64, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 12.09/12.46 , clause( 43018, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43020, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.46 , clause( 39, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43021, [ =( j( X ), difference( X, eta( X ) ) ) ] )
% 12.09/12.46 , clause( 64, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43020, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, eta( X
% 12.09/12.46 ) ), :=( Y, j( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43022, [ =( difference( X, eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , clause( 43021, [ =( j( X ), difference( X, eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 66, [ =( difference( X, eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , clause( 43022, [ =( difference( X, eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43025, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 69, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 43025, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43028, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.46 , clause( 39, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43029, [ =( X, difference( t( X, Y ), product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 12.09/12.46 , 0, clause( 43028, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.46 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, product( X, Y ) ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43030, [ =( difference( t( X, Y ), product( X, Y ) ), X ) ] )
% 12.09/12.46 , clause( 43029, [ =( X, difference( t( X, Y ), product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 73, [ =( difference( t( X, Y ), product( X, Y ) ), X ) ] )
% 12.09/12.46 , clause( 43030, [ =( difference( t( X, Y ), product( X, Y ) ), X ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43032, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 12.09/12.46 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43033, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 12.09/12.46 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, clause( 43032, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 78, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 12.09/12.46 , clause( 43033, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43036, [ =( product( j( j( X ) ), Y ), product( X, product( eta( X
% 12.09/12.46 ), Y ) ) ) ] )
% 12.09/12.46 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 12.09/12.46 ), Y ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43039, [ =( product( j( j( X ) ), i( eta( X ) ) ), product( X, one
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.46 , 0, clause( 43036, [ =( product( j( j( X ) ), Y ), product( X, product(
% 12.09/12.46 eta( X ), Y ) ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X
% 12.09/12.46 , X ), :=( Y, i( eta( X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43040, [ =( product( j( j( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.46 , 0, clause( 43039, [ =( product( j( j( X ) ), i( eta( X ) ) ), product( X
% 12.09/12.46 , one ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 91, [ =( product( j( j( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 43040, [ =( product( j( j( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43043, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43044, [ =( product( eta( X ), Y ), difference( X, product( j( j( X
% 12.09/12.46 ) ), Y ) ) ) ] )
% 12.09/12.46 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 12.09/12.46 ), Y ) ) ] )
% 12.09/12.46 , 0, clause( 43043, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, X ), :=( Y, product( eta( X ), Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43045, [ =( difference( X, product( j( j( X ) ), Y ) ), product(
% 12.09/12.46 eta( X ), Y ) ) ] )
% 12.09/12.46 , clause( 43044, [ =( product( eta( X ), Y ), difference( X, product( j( j(
% 12.09/12.46 X ) ), Y ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 92, [ =( difference( X, product( j( j( X ) ), Y ) ), product( eta(
% 12.09/12.46 X ), Y ) ) ] )
% 12.09/12.46 , clause( 43045, [ =( difference( X, product( j( j( X ) ), Y ) ), product(
% 12.09/12.46 eta( X ), Y ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43047, [ =( product( j( j( X ) ), Y ), product( X, product( eta( X
% 12.09/12.46 ), Y ) ) ) ] )
% 12.09/12.46 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 12.09/12.46 ), Y ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43050, [ =( product( j( j( X ) ), one ), product( X, eta( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.46 , 0, clause( 43047, [ =( product( j( j( X ) ), Y ), product( X, product(
% 12.09/12.46 eta( X ), Y ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X ), :=( Y, one )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43052, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 12.09/12.46 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.46 , 0, clause( 43050, [ =( product( j( j( X ) ), one ), product( X, eta( X )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, j( j( X ) ) )] ), substitution( 1, [ :=(
% 12.09/12.46 X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43053, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , clause( 43052, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 94, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , clause( 43053, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43055, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 12.09/12.46 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43056, [ =( t( X, eta( X ) ), quotient( j( j( X ) ), X ) ) ] )
% 12.09/12.46 , clause( 94, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43055, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, eta( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43057, [ =( quotient( j( j( X ) ), X ), t( X, eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43056, [ =( t( X, eta( X ) ), quotient( j( j( X ) ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 96, [ =( quotient( j( j( X ) ), X ), t( X, eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43057, [ =( quotient( j( j( X ) ), X ), t( X, eta( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43059, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 12.09/12.46 , clause( 94, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43061, [ =( j( j( i( X ) ) ), product( i( X ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43059, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43062, [ =( j( X ), product( i( X ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43061, [ =( j( j( i( X ) ) ), product( i( X ), eta( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43063, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , clause( 43062, [ =( j( X ), product( i( X ), eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 98, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , clause( 43063, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43065, [ =( j( X ), product( i( X ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 98, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43067, [ =( j( i( X ) ), product( i( i( X ) ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43065, [ =( j( X ), product( i( X ), eta( X ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43068, [ =( X, product( i( i( X ) ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43067, [ =( j( i( X ) ), product( i( i( X ) ), eta( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43069, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 12.09/12.46 , clause( 43068, [ =( X, product( i( i( X ) ), eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 103, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 12.09/12.46 , clause( 43069, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43071, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43072, [ =( i( X ), quotient( j( X ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 98, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , 0, clause( 43071, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 ), :=( Y, eta( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43073, [ =( quotient( j( X ), eta( X ) ), i( X ) ) ] )
% 12.09/12.46 , clause( 43072, [ =( i( X ), quotient( j( X ), eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 104, [ =( quotient( j( X ), eta( X ) ), i( X ) ) ] )
% 12.09/12.46 , clause( 43073, [ =( quotient( j( X ), eta( X ) ), i( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43075, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43076, [ =( eta( X ), difference( i( X ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 98, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , 0, clause( 43075, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 ), :=( Y, eta( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43077, [ =( difference( i( X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 43076, [ =( eta( X ), difference( i( X ), j( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 105, [ =( difference( i( X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 43077, [ =( difference( i( X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43079, [ =( i( X ), quotient( j( X ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 104, [ =( quotient( j( X ), eta( X ) ), i( X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43081, [ =( i( i( X ) ), quotient( j( i( X ) ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43079, [ =( i( X ), quotient( j( X ), eta( X ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43082, [ =( i( i( X ) ), quotient( X, eta( X ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43081, [ =( i( i( X ) ), quotient( j( i( X ) ), eta( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43083, [ =( quotient( X, eta( X ) ), i( i( X ) ) ) ] )
% 12.09/12.46 , clause( 43082, [ =( i( i( X ) ), quotient( X, eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 106, [ =( quotient( X, eta( X ) ), i( i( X ) ) ) ] )
% 12.09/12.46 , clause( 43083, [ =( quotient( X, eta( X ) ), i( i( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43085, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.46 , clause( 39, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43086, [ =( eta( X ), difference( i( i( X ) ), X ) ) ] )
% 12.09/12.46 , clause( 106, [ =( quotient( X, eta( X ) ), i( i( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43085, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, eta( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43087, [ =( difference( i( i( X ) ), X ), eta( X ) ) ] )
% 12.09/12.46 , clause( 43086, [ =( eta( X ), difference( i( i( X ) ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 108, [ =( difference( i( i( X ) ), X ), eta( X ) ) ] )
% 12.09/12.46 , clause( 43087, [ =( difference( i( i( X ) ), X ), eta( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43089, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43090, [ =( X, quotient( product( product( X, Y ), eta( X ) ),
% 12.09/12.46 product( Y, eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 14, [ =( product( X, product( Y, eta( X ) ) ), product( product(
% 12.09/12.46 X, Y ), eta( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43089, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, X ), :=( Y, product( Y, eta( X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43091, [ =( quotient( product( product( X, Y ), eta( X ) ), product(
% 12.09/12.46 Y, eta( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 43090, [ =( X, quotient( product( product( X, Y ), eta( X ) ),
% 12.09/12.46 product( Y, eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 117, [ =( quotient( product( product( X, Y ), eta( X ) ), product(
% 12.09/12.46 Y, eta( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 43091, [ =( quotient( product( product( X, Y ), eta( X ) ),
% 12.09/12.46 product( Y, eta( X ) ) ), X ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43093, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.46 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 12.09/12.46 X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43096, [ =( difference( X, product( product( X, eta( Y ) ), Z ) ),
% 12.09/12.46 quotient( product( product( eta( Y ), Z ), X ), X ) ) ] )
% 12.09/12.46 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.46 eta( X ), Y ), Z ) ) ] )
% 12.09/12.46 , 0, clause( 43093, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.46 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.46 substitution( 1, [ :=( X, eta( Y ) ), :=( Y, Z ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43098, [ =( difference( X, product( product( X, eta( Y ) ), Z ) ),
% 12.09/12.46 product( eta( Y ), Z ) ) ] )
% 12.09/12.46 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, clause( 43096, [ =( difference( X, product( product( X, eta( Y ) ), Z
% 12.09/12.46 ) ), quotient( product( product( eta( Y ), Z ), X ), X ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, product( eta( Y ), Z ) ), :=( Y, X )] ),
% 12.09/12.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 130, [ =( difference( Z, product( product( Z, eta( X ) ), Y ) ),
% 12.09/12.46 product( eta( X ), Y ) ) ] )
% 12.09/12.46 , clause( 43098, [ =( difference( X, product( product( X, eta( Y ) ), Z ) )
% 12.09/12.46 , product( eta( Y ), Z ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43101, [ =( product( product( eta( X ), Y ), Z ), product( eta( X )
% 12.09/12.46 , product( Y, Z ) ) ) ] )
% 12.09/12.46 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.46 eta( X ), Y ), Z ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43103, [ =( product( product( eta( X ), j( Y ) ), Y ), product( eta(
% 12.09/12.46 X ), one ) ) ] )
% 12.09/12.46 , clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.46 , 0, clause( 43101, [ =( product( product( eta( X ), Y ), Z ), product( eta(
% 12.09/12.46 X ), product( Y, Z ) ) ) ] )
% 12.09/12.46 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, j( Y ) ), :=( Z, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43104, [ =( product( product( eta( X ), j( Y ) ), Y ), eta( X ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.46 , 0, clause( 43103, [ =( product( product( eta( X ), j( Y ) ), Y ), product(
% 12.09/12.46 eta( X ), one ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 133, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43104, [ =( product( product( eta( X ), j( Y ) ), Y ), eta( X ) )
% 12.09/12.46 ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43107, [ =( product( product( eta( X ), Y ), Z ), product( eta( X )
% 12.09/12.46 , product( Y, Z ) ) ) ] )
% 12.09/12.46 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.46 eta( X ), Y ), Z ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43111, [ =( product( product( eta( X ), Y ), i( Y ) ), product( eta(
% 12.09/12.46 X ), one ) ) ] )
% 12.09/12.46 , clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.46 , 0, clause( 43107, [ =( product( product( eta( X ), Y ), Z ), product( eta(
% 12.09/12.46 X ), product( Y, Z ) ) ) ] )
% 12.09/12.46 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y ), :=( Z, i( Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43112, [ =( product( product( eta( X ), Y ), i( Y ) ), eta( X ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.46 , 0, clause( 43111, [ =( product( product( eta( X ), Y ), i( Y ) ), product(
% 12.09/12.46 eta( X ), one ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 134, [ =( product( product( eta( Y ), X ), i( X ) ), eta( Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43112, [ =( product( product( eta( X ), Y ), i( Y ) ), eta( X ) )
% 12.09/12.46 ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43115, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43116, [ =( product( X, Y ), difference( eta( Z ), product( product(
% 12.09/12.46 eta( Z ), X ), Y ) ) ) ] )
% 12.09/12.46 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.46 eta( X ), Y ), Z ) ) ] )
% 12.09/12.46 , 0, clause( 43115, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.46 substitution( 1, [ :=( X, eta( Z ) ), :=( Y, product( X, Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43117, [ =( difference( eta( Z ), product( product( eta( Z ), X ),
% 12.09/12.46 Y ) ), product( X, Y ) ) ] )
% 12.09/12.46 , clause( 43116, [ =( product( X, Y ), difference( eta( Z ), product(
% 12.09/12.46 product( eta( Z ), X ), Y ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 135, [ =( difference( eta( X ), product( product( eta( X ), Y ), Z
% 12.09/12.46 ) ), product( Y, Z ) ) ] )
% 12.09/12.46 , clause( 43117, [ =( difference( eta( Z ), product( product( eta( Z ), X )
% 12.09/12.46 , Y ) ), product( X, Y ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43119, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.46 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 12.09/12.46 X, product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43122, [ =( difference( eta( X ), product( product( eta( X ), Y ),
% 12.09/12.46 i( i( X ) ) ) ), quotient( product( Y, X ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 103, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43119, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 12.09/12.46 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 12.09/12.46 :=( Y, i( i( X ) ) ), :=( Z, eta( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43123, [ =( product( Y, i( i( X ) ) ), quotient( product( Y, X ),
% 12.09/12.46 eta( X ) ) ) ] )
% 12.09/12.46 , clause( 135, [ =( difference( eta( X ), product( product( eta( X ), Y ),
% 12.09/12.46 Z ) ), product( Y, Z ) ) ] )
% 12.09/12.46 , 0, clause( 43122, [ =( difference( eta( X ), product( product( eta( X ),
% 12.09/12.46 Y ), i( i( X ) ) ) ), quotient( product( Y, X ), eta( X ) ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, i( i( X ) ) )] )
% 12.09/12.46 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43124, [ =( quotient( product( X, Y ), eta( Y ) ), product( X, i( i(
% 12.09/12.46 Y ) ) ) ) ] )
% 12.09/12.46 , clause( 43123, [ =( product( Y, i( i( X ) ) ), quotient( product( Y, X )
% 12.09/12.46 , eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 142, [ =( quotient( product( Y, X ), eta( X ) ), product( Y, i( i(
% 12.09/12.46 X ) ) ) ) ] )
% 12.09/12.46 , clause( 43124, [ =( quotient( product( X, Y ), eta( Y ) ), product( X, i(
% 12.09/12.46 i( Y ) ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43126, [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , clause( 16, [ =( product( j( X ), i( X ) ), quotient( j( X ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43128, [ =( quotient( j( i( X ) ), i( X ) ), product( X, i( i( X )
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43126, [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43129, [ =( quotient( X, i( X ) ), product( X, i( i( X ) ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43128, [ =( quotient( j( i( X ) ), i( X ) ), product( X, i( i(
% 12.09/12.46 X ) ) ) ) ] )
% 12.09/12.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43131, [ =( product( X, i( i( X ) ) ), quotient( X, i( X ) ) ) ] )
% 12.09/12.46 , clause( 43129, [ =( quotient( X, i( X ) ), product( X, i( i( X ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 152, [ =( product( X, i( i( X ) ) ), quotient( X, i( X ) ) ) ] )
% 12.09/12.46 , clause( 43131, [ =( product( X, i( i( X ) ) ), quotient( X, i( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43134, [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , clause( 16, [ =( product( j( X ), i( X ) ), quotient( j( X ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43135, [ =( quotient( j( j( X ) ), j( X ) ), product( j( j( X ) ),
% 12.09/12.46 X ) ) ] )
% 12.09/12.46 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43134, [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 154, [ =( quotient( j( j( X ) ), j( X ) ), product( j( j( X ) ), X
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 43135, [ =( quotient( j( j( X ) ), j( X ) ), product( j( j( X ) )
% 12.09/12.46 , X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43138, [ =( X, product( j( j( X ) ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 91, [ =( product( j( j( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43140, [ =( i( X ), product( j( j( i( X ) ) ), i( eta( X ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43138, [ =( X, product( j( j( X ) ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43141, [ =( i( X ), product( j( X ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43140, [ =( i( X ), product( j( j( i( X ) ) ), i( eta( X ) ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43142, [ =( product( j( X ), i( eta( X ) ) ), i( X ) ) ] )
% 12.09/12.46 , clause( 43141, [ =( i( X ), product( j( X ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 180, [ =( product( j( X ), i( eta( X ) ) ), i( X ) ) ] )
% 12.09/12.46 , clause( 43142, [ =( product( j( X ), i( eta( X ) ) ), i( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43144, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43145, [ =( j( j( X ) ), quotient( X, i( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 91, [ =( product( j( j( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43144, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( j( X
% 12.09/12.46 ) ) ), :=( Y, i( eta( X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43146, [ =( quotient( X, i( eta( X ) ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , clause( 43145, [ =( j( j( X ) ), quotient( X, i( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 182, [ =( quotient( X, i( eta( X ) ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , clause( 43146, [ =( quotient( X, i( eta( X ) ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43148, [ =( i( X ), product( j( X ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 180, [ =( product( j( X ), i( eta( X ) ) ), i( X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43150, [ =( i( i( X ) ), product( j( i( X ) ), i( eta( X ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43148, [ =( i( X ), product( j( X ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43151, [ =( i( i( X ) ), product( X, i( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43150, [ =( i( i( X ) ), product( j( i( X ) ), i( eta( X ) ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43152, [ =( product( X, i( eta( X ) ) ), i( i( X ) ) ) ] )
% 12.09/12.46 , clause( 43151, [ =( i( i( X ) ), product( X, i( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 187, [ =( product( X, i( eta( X ) ) ), i( i( X ) ) ) ] )
% 12.09/12.46 , clause( 43152, [ =( product( X, i( eta( X ) ) ), i( i( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43154, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43155, [ =( j( X ), quotient( i( X ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 180, [ =( product( j( X ), i( eta( X ) ) ), i( X ) ) ] )
% 12.09/12.46 , 0, clause( 43154, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.46 ), :=( Y, i( eta( X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43156, [ =( quotient( i( X ), i( eta( X ) ) ), j( X ) ) ] )
% 12.09/12.46 , clause( 43155, [ =( j( X ), quotient( i( X ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 188, [ =( quotient( i( X ), i( eta( X ) ) ), j( X ) ) ] )
% 12.09/12.46 , clause( 43156, [ =( quotient( i( X ), i( eta( X ) ) ), j( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43158, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43159, [ =( i( eta( X ) ), difference( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , clause( 180, [ =( product( j( X ), i( eta( X ) ) ), i( X ) ) ] )
% 12.09/12.46 , 0, clause( 43158, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.46 ), :=( Y, i( eta( X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43160, [ =( difference( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43159, [ =( i( eta( X ) ), difference( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 189, [ =( difference( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43160, [ =( difference( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43162, [ =( i( eta( X ) ), difference( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , clause( 189, [ =( difference( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43164, [ =( i( eta( i( X ) ) ), difference( X, i( i( X ) ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43162, [ =( i( eta( X ) ), difference( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43165, [ =( i( eta( X ) ), difference( X, i( i( X ) ) ) ) ] )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43164, [ =( i( eta( i( X ) ) ), difference( X, i( i( X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43166, [ =( difference( X, i( i( X ) ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43165, [ =( i( eta( X ) ), difference( X, i( i( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 190, [ =( difference( X, i( i( X ) ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43166, [ =( difference( X, i( i( X ) ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43168, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 12.09/12.46 , clause( 43, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43169, [ =( X, quotient( i( i( X ) ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 190, [ =( difference( X, i( i( X ) ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43168, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( i( X
% 12.09/12.46 ) ) ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43170, [ =( quotient( i( i( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 43169, [ =( X, quotient( i( i( X ) ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 192, [ =( quotient( i( i( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 43170, [ =( quotient( i( i( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43172, [ =( i( Y ), product( i( product( X, Y ) ), i( i( X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 20, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43176, [ =( i( i( eta( X ) ) ), product( i( i( i( X ) ) ), i( i( X
% 12.09/12.46 ) ) ) ) ] )
% 12.09/12.46 , clause( 187, [ =( product( X, i( eta( X ) ) ), i( i( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43172, [ =( i( Y ), product( i( product( X, Y ) ), i( i( X ) )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, i( eta( X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43177, [ =( i( i( eta( X ) ) ), eta( i( i( X ) ) ) ) ] )
% 12.09/12.46 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43176, [ =( i( i( eta( X ) ) ), product( i( i( i( X ) ) ), i(
% 12.09/12.46 i( X ) ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, i( i( X ) ) )] ), substitution( 1, [ :=(
% 12.09/12.46 X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43178, [ =( i( i( eta( X ) ) ), eta( i( X ) ) ) ] )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43177, [ =( i( i( eta( X ) ) ), eta( i( i( X ) ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, i( X ) )] ), substitution( 1, [ :=( X, X
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43180, [ =( i( i( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43178, [ =( i( i( eta( X ) ) ), eta( i( X ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 208, [ =( i( i( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 43180, [ =( i( i( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43183, [ =( j( X ), quotient( i( X ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 188, [ =( quotient( i( X ), i( eta( X ) ) ), j( X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43187, [ =( j( i( eta( X ) ) ), quotient( eta( X ), i( eta( i( eta(
% 12.09/12.46 X ) ) ) ) ) ) ] )
% 12.09/12.46 , clause( 208, [ =( i( i( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43183, [ =( j( X ), quotient( i( X ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( eta(
% 12.09/12.46 X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43188, [ =( j( i( eta( X ) ) ), quotient( eta( X ), i( eta( eta( X
% 12.09/12.46 ) ) ) ) ) ] )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43187, [ =( j( i( eta( X ) ) ), quotient( eta( X ), i( eta( i(
% 12.09/12.46 eta( X ) ) ) ) ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43189, [ =( j( i( eta( X ) ) ), j( j( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 182, [ =( quotient( X, i( eta( X ) ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43188, [ =( j( i( eta( X ) ) ), quotient( eta( X ), i( eta(
% 12.09/12.46 eta( X ) ) ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43190, [ =( eta( X ), j( j( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43189, [ =( j( i( eta( X ) ) ), j( j( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43191, [ =( j( j( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 43190, [ =( eta( X ), j( j( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 231, [ =( j( j( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , clause( 43191, [ =( j( j( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43193, [ =( X, quotient( i( i( X ) ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 192, [ =( quotient( i( i( X ) ), i( eta( X ) ) ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43197, [ =( i( eta( X ) ), quotient( i( eta( X ) ), i( eta( i( eta(
% 12.09/12.46 X ) ) ) ) ) ) ] )
% 12.09/12.46 , clause( 208, [ =( i( i( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43193, [ =( X, quotient( i( i( X ) ), i( eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( eta(
% 12.09/12.46 X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43198, [ =( i( eta( X ) ), j( j( i( eta( X ) ) ) ) ) ] )
% 12.09/12.46 , clause( 182, [ =( quotient( X, i( eta( X ) ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43197, [ =( i( eta( X ) ), quotient( i( eta( X ) ), i( eta( i(
% 12.09/12.46 eta( X ) ) ) ) ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, i( eta( X ) ) )] ), substitution( 1, [
% 12.09/12.46 :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43199, [ =( i( eta( X ) ), j( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43198, [ =( i( eta( X ) ), j( j( i( eta( X ) ) ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43200, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43199, [ =( i( eta( X ) ), j( eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 232, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43200, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43202, [ =( eta( X ), difference( i( i( X ) ), X ) ) ] )
% 12.09/12.46 , clause( 108, [ =( difference( i( i( X ) ), X ), eta( X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43204, [ =( eta( eta( X ) ), difference( eta( X ), eta( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 208, [ =( i( i( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43202, [ =( eta( X ), difference( i( i( X ) ), X ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, eta( X
% 12.09/12.46 ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43208, [ =( eta( eta( X ) ), one ) ] )
% 12.09/12.46 , clause( 40, [ =( difference( X, X ), one ) ] )
% 12.09/12.46 , 0, clause( 43204, [ =( eta( eta( X ) ), difference( eta( X ), eta( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 235, [ =( eta( eta( X ) ), one ) ] )
% 12.09/12.46 , clause( 43208, [ =( eta( eta( X ) ), one ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43211, [ =( j( Y ), product( j( j( X ) ), j( product( Y, X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 21, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43215, [ =( j( X ), product( j( j( i( eta( X ) ) ) ), j( i( i( X )
% 12.09/12.46 ) ) ) ) ] )
% 12.09/12.46 , clause( 187, [ =( product( X, i( eta( X ) ) ), i( i( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43211, [ =( j( Y ), product( j( j( X ) ), j( product( Y, X ) )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( eta(
% 12.09/12.46 X ) ) ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43216, [ =( j( X ), product( j( eta( X ) ), j( i( i( X ) ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43215, [ =( j( X ), product( j( j( i( eta( X ) ) ) ), j( i( i(
% 12.09/12.46 X ) ) ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43220, [ =( j( X ), product( i( eta( X ) ), j( i( i( X ) ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 232, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43216, [ =( j( X ), product( j( eta( X ) ), j( i( i( X ) ) ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43221, [ =( j( X ), product( i( eta( X ) ), i( X ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43220, [ =( j( X ), product( i( eta( X ) ), j( i( i( X ) ) ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, i( X ) )] ), substitution( 1, [ :=( X, X
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43222, [ =( product( i( eta( X ) ), i( X ) ), j( X ) ) ] )
% 12.09/12.46 , clause( 43221, [ =( j( X ), product( i( eta( X ) ), i( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 240, [ =( product( i( eta( X ) ), i( X ) ), j( X ) ) ] )
% 12.09/12.46 , clause( 43222, [ =( product( i( eta( X ) ), i( X ) ), j( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43224, [ =( j( Y ), product( j( j( X ) ), j( product( Y, X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 21, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43227, [ =( j( i( i( X ) ) ), product( j( j( eta( X ) ) ), j( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 103, [ =( product( i( i( X ) ), eta( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43224, [ =( j( Y ), product( j( j( X ) ), j( product( Y, X ) )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, eta( X
% 12.09/12.46 ) ), :=( Y, i( i( X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43228, [ =( j( i( i( X ) ) ), product( eta( X ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 231, [ =( j( j( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43227, [ =( j( i( i( X ) ) ), product( j( j( eta( X ) ) ), j(
% 12.09/12.46 X ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43229, [ =( i( X ), product( eta( X ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43228, [ =( j( i( i( X ) ) ), product( eta( X ), j( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, i( X ) )] ), substitution( 1, [ :=( X, X
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43230, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 12.09/12.46 , clause( 43229, [ =( i( X ), product( eta( X ), j( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 249, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 12.09/12.46 , clause( 43230, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43232, [ =( j( Y ), product( j( j( X ) ), j( product( Y, X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 21, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43235, [ =( j( i( X ) ), product( j( j( eta( X ) ) ), j( j( X ) ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 98, [ =( product( i( X ), eta( X ) ), j( X ) ) ] )
% 12.09/12.46 , 0, clause( 43232, [ =( j( Y ), product( j( j( X ) ), j( product( Y, X ) )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, eta( X
% 12.09/12.46 ) ), :=( Y, i( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43236, [ =( j( i( X ) ), product( eta( X ), j( j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 231, [ =( j( j( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43235, [ =( j( i( X ) ), product( j( j( eta( X ) ) ), j( j( X
% 12.09/12.46 ) ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43237, [ =( X, product( eta( X ), j( j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43236, [ =( j( i( X ) ), product( eta( X ), j( j( X ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43238, [ =( product( eta( X ), j( j( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 43237, [ =( X, product( eta( X ), j( j( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 252, [ =( product( eta( X ), j( j( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 43238, [ =( product( eta( X ), j( j( X ) ) ), X ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43240, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43241, [ =( j( j( X ) ), quotient( j( Y ), j( product( Y, X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 21, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, clause( 43240, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, j( j( X ) ) ), :=( Y, j( product( Y, X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43242, [ =( quotient( j( Y ), j( product( Y, X ) ) ), j( j( X ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 43241, [ =( j( j( X ) ), quotient( j( Y ), j( product( Y, X ) ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 258, [ =( quotient( j( Y ), j( product( Y, X ) ) ), j( j( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43242, [ =( quotient( j( Y ), j( product( Y, X ) ) ), j( j( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43244, [ =( j( Y ), product( j( j( X ) ), j( product( Y, X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 21, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43245, [ =( j( quotient( X, Y ) ), product( j( j( Y ) ), j( X ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, clause( 43244, [ =( j( Y ), product( j( j( X ) ), j( product( Y, X ) )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, Y ), :=( Y, quotient( X, Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43246, [ =( product( j( j( Y ) ), j( X ) ), j( quotient( X, Y ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 43245, [ =( j( quotient( X, Y ) ), product( j( j( Y ) ), j( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 261, [ =( product( j( j( Y ) ), j( X ) ), j( quotient( X, Y ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43246, [ =( product( j( j( Y ) ), j( X ) ), j( quotient( X, Y ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43248, [ =( i( X ), product( eta( X ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 249, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43250, [ =( i( i( X ) ), product( eta( X ), j( i( X ) ) ) ) ] )
% 12.09/12.46 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43248, [ =( i( X ), product( eta( X ), j( X ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43251, [ =( i( i( X ) ), product( eta( X ), X ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43250, [ =( i( i( X ) ), product( eta( X ), j( i( X ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43252, [ =( product( eta( X ), X ), i( i( X ) ) ) ] )
% 12.09/12.46 , clause( 43251, [ =( i( i( X ) ), product( eta( X ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 267, [ =( product( eta( X ), X ), i( i( X ) ) ) ] )
% 12.09/12.46 , clause( 43252, [ =( product( eta( X ), X ), i( i( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43254, [ =( product( j( j( X ) ), Y ), product( X, product( eta( X
% 12.09/12.46 ), Y ) ) ) ] )
% 12.09/12.46 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 12.09/12.46 ), Y ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43256, [ =( product( j( j( X ) ), X ), product( X, i( i( X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 267, [ =( product( eta( X ), X ), i( i( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43254, [ =( product( j( j( X ) ), Y ), product( X, product(
% 12.09/12.46 eta( X ), Y ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43257, [ =( product( j( j( X ) ), X ), quotient( X, i( X ) ) ) ] )
% 12.09/12.46 , clause( 152, [ =( product( X, i( i( X ) ) ), quotient( X, i( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43256, [ =( product( j( j( X ) ), X ), product( X, i( i( X ) )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 275, [ =( product( j( j( X ) ), X ), quotient( X, i( X ) ) ) ] )
% 12.09/12.46 , clause( 43257, [ =( product( j( j( X ) ), X ), quotient( X, i( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43260, [ =( product( product( eta( X ), Y ), Z ), product( eta( X )
% 12.09/12.46 , product( Y, Z ) ) ) ] )
% 12.09/12.46 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.46 eta( X ), Y ), Z ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43274, [ =( product( product( eta( X ), product( Y, product( Z, T )
% 12.09/12.46 ) ), a( Y, Z, T ) ), product( eta( X ), product( product( Y, Z ), T ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 22, [ =( product( product( X, product( Y, Z ) ), a( X, Y, Z ) ),
% 12.09/12.46 product( product( X, Y ), Z ) ) ] )
% 12.09/12.46 , 0, clause( 43260, [ =( product( product( eta( X ), Y ), Z ), product( eta(
% 12.09/12.46 X ), product( Y, Z ) ) ) ] )
% 12.09/12.46 , 0, 17, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 12.09/12.46 substitution( 1, [ :=( X, X ), :=( Y, product( Y, product( Z, T ) ) ),
% 12.09/12.46 :=( Z, a( Y, Z, T ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43276, [ =( product( product( eta( X ), product( Y, product( Z, T )
% 12.09/12.46 ) ), a( Y, Z, T ) ), product( product( eta( X ), product( Y, Z ) ), T )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.46 eta( X ), Y ), Z ) ) ] )
% 12.09/12.46 , 0, clause( 43274, [ =( product( product( eta( X ), product( Y, product( Z
% 12.09/12.46 , T ) ) ), a( Y, Z, T ) ), product( eta( X ), product( product( Y, Z ), T
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, product( Y, Z ) ), :=( Z, T
% 12.09/12.46 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43281, [ =( product( product( eta( X ), product( Y, product( Z, T )
% 12.09/12.46 ) ), a( Y, Z, T ) ), product( product( product( eta( X ), Y ), Z ), T )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.46 eta( X ), Y ), Z ) ) ] )
% 12.09/12.46 , 0, clause( 43276, [ =( product( product( eta( X ), product( Y, product( Z
% 12.09/12.46 , T ) ) ), a( Y, Z, T ) ), product( product( eta( X ), product( Y, Z ) )
% 12.09/12.46 , T ) ) ] )
% 12.09/12.46 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43283, [ =( product( product( product( eta( X ), Y ), product( Z, T
% 12.09/12.46 ) ), a( Y, Z, T ) ), product( product( product( eta( X ), Y ), Z ), T )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 12.09/12.46 eta( X ), Y ), Z ) ) ] )
% 12.09/12.46 , 0, clause( 43281, [ =( product( product( eta( X ), product( Y, product( Z
% 12.09/12.46 , T ) ) ), a( Y, Z, T ) ), product( product( product( eta( X ), Y ), Z )
% 12.09/12.46 , T ) ) ] )
% 12.09/12.46 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, product( Z, T ) )] )
% 12.09/12.46 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 290, [ =( product( product( product( eta( T ), X ), product( Y, Z )
% 12.09/12.46 ), a( X, Y, Z ) ), product( product( product( eta( T ), X ), Y ), Z ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 43283, [ =( product( product( product( eta( X ), Y ), product( Z
% 12.09/12.46 , T ) ), a( Y, Z, T ) ), product( product( product( eta( X ), Y ), Z ), T
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43286, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43287, [ =( a( X, Y, Z ), difference( product( X, product( Y, Z ) )
% 12.09/12.46 , product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.46 , clause( 22, [ =( product( product( X, product( Y, Z ) ), a( X, Y, Z ) ),
% 12.09/12.46 product( product( X, Y ), Z ) ) ] )
% 12.09/12.46 , 0, clause( 43286, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.46 substitution( 1, [ :=( X, product( X, product( Y, Z ) ) ), :=( Y, a( X, Y
% 12.09/12.46 , Z ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43288, [ =( difference( product( X, product( Y, Z ) ), product(
% 12.09/12.46 product( X, Y ), Z ) ), a( X, Y, Z ) ) ] )
% 12.09/12.46 , clause( 43287, [ =( a( X, Y, Z ), difference( product( X, product( Y, Z )
% 12.09/12.46 ), product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 303, [ =( difference( product( X, product( Y, Z ) ), product(
% 12.09/12.46 product( X, Y ), Z ) ), a( X, Y, Z ) ) ] )
% 12.09/12.46 , clause( 43288, [ =( difference( product( X, product( Y, Z ) ), product(
% 12.09/12.46 product( X, Y ), Z ) ), a( X, Y, Z ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43290, [ =( product( Y, X ), product( product( X, Y ), c( Y, X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 23, [ =( product( product( X, Y ), c( Y, X ) ), product( Y, X ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43293, [ =( product( j( X ), X ), product( eta( X ), c( j( X ), X )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 69, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43290, [ =( product( Y, X ), product( product( X, Y ), c( Y, X
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, j( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43294, [ =( one, product( eta( X ), c( j( X ), X ) ) ) ] )
% 12.09/12.46 , clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.46 , 0, clause( 43293, [ =( product( j( X ), X ), product( eta( X ), c( j( X )
% 12.09/12.46 , X ) ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43295, [ =( product( eta( X ), c( j( X ), X ) ), one ) ] )
% 12.09/12.46 , clause( 43294, [ =( one, product( eta( X ), c( j( X ), X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 338, [ =( product( eta( X ), c( j( X ), X ) ), one ) ] )
% 12.09/12.46 , clause( 43295, [ =( product( eta( X ), c( j( X ), X ) ), one ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43297, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43298, [ =( c( X, Y ), difference( product( Y, X ), product( X, Y )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 23, [ =( product( product( X, Y ), c( Y, X ) ), product( Y, X ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, clause( 43297, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.46 :=( X, product( Y, X ) ), :=( Y, c( X, Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43299, [ =( difference( product( Y, X ), product( X, Y ) ), c( X, Y
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 43298, [ =( c( X, Y ), difference( product( Y, X ), product( X, Y
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 345, [ =( difference( product( X, Y ), product( Y, X ) ), c( Y, X )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 43299, [ =( difference( product( Y, X ), product( X, Y ) ), c( X
% 12.09/12.46 , Y ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43301, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43302, [ =( product( X, Y ), difference( c( Z, T ), product(
% 12.09/12.46 product( c( Z, T ), X ), Y ) ) ) ] )
% 12.09/12.46 , clause( 24, [ =( product( c( X, Y ), product( Z, T ) ), product( product(
% 12.09/12.46 c( X, Y ), Z ), T ) ) ] )
% 12.09/12.46 , 0, clause( 43301, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 12.09/12.46 , substitution( 1, [ :=( X, c( Z, T ) ), :=( Y, product( X, Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43303, [ =( difference( c( Z, T ), product( product( c( Z, T ), X )
% 12.09/12.46 , Y ) ), product( X, Y ) ) ] )
% 12.09/12.46 , clause( 43302, [ =( product( X, Y ), difference( c( Z, T ), product(
% 12.09/12.46 product( c( Z, T ), X ), Y ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 386, [ =( difference( c( X, Y ), product( product( c( X, Y ), Z ),
% 12.09/12.46 T ) ), product( Z, T ) ) ] )
% 12.09/12.46 , clause( 43303, [ =( difference( c( Z, T ), product( product( c( Z, T ), X
% 12.09/12.46 ), Y ) ), product( X, Y ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43305, [ =( product( j( j( X ) ), Y ), product( X, product( eta( X
% 12.09/12.46 ), Y ) ) ) ] )
% 12.09/12.46 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 12.09/12.46 ), Y ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43307, [ =( product( j( j( X ) ), j( j( X ) ) ), product( X, X ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 252, [ =( product( eta( X ), j( j( X ) ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43305, [ =( product( j( j( X ) ), Y ), product( X, product(
% 12.09/12.46 eta( X ), Y ) ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, j( j( X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43308, [ =( j( quotient( j( X ), X ) ), product( X, X ) ) ] )
% 12.09/12.46 , clause( 261, [ =( product( j( j( Y ) ), j( X ) ), j( quotient( X, Y ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, clause( 43307, [ =( product( j( j( X ) ), j( j( X ) ) ), product( X, X
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, j( X ) ), :=( Y, X )] ), substitution( 1
% 12.09/12.46 , [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 461, [ =( j( quotient( j( X ), X ) ), product( X, X ) ) ] )
% 12.09/12.46 , clause( 43308, [ =( j( quotient( j( X ), X ) ), product( X, X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43311, [ =( product( X, X ), j( quotient( j( X ), X ) ) ) ] )
% 12.09/12.46 , clause( 461, [ =( j( quotient( j( X ), X ) ), product( X, X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43312, [ =( product( i( X ), i( X ) ), j( quotient( X, i( X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43311, [ =( product( X, X ), j( quotient( j( X ), X ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 479, [ =( product( i( X ), i( X ) ), j( quotient( X, i( X ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43312, [ =( product( i( X ), i( X ) ), j( quotient( X, i( X ) ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43315, [ =( X, i( j( X ) ) ) ] )
% 12.09/12.46 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43316, [ =( quotient( j( X ), X ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , clause( 461, [ =( j( quotient( j( X ), X ) ), product( X, X ) ) ] )
% 12.09/12.46 , 0, clause( 43315, [ =( X, i( j( X ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 12.09/12.46 quotient( j( X ), X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 480, [ =( quotient( j( X ), X ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , clause( 43316, [ =( quotient( j( X ), X ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43319, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43321, [ =( difference( X, product( a( X, Y, Z ), X ) ), difference(
% 12.09/12.46 a( Y, Z, X ), one ) ) ] )
% 12.09/12.46 , clause( 28, [ =( product( a( X, Y, Z ), difference( Z, product( a( Z, X,
% 12.09/12.46 Y ), Z ) ) ), one ) ] )
% 12.09/12.46 , 0, clause( 43319, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.46 substitution( 1, [ :=( X, a( Y, Z, X ) ), :=( Y, difference( X, product(
% 12.09/12.46 a( X, Y, Z ), X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43322, [ =( difference( X, product( a( X, Y, Z ), X ) ), i( a( Y, Z
% 12.09/12.46 , X ) ) ) ] )
% 12.09/12.46 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 12.09/12.46 , 0, clause( 43321, [ =( difference( X, product( a( X, Y, Z ), X ) ),
% 12.09/12.46 difference( a( Y, Z, X ), one ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, a( Y, Z, X ) )] ), substitution( 1, [
% 12.09/12.46 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 490, [ =( difference( Z, product( a( Z, X, Y ), Z ) ), i( a( X, Y,
% 12.09/12.46 Z ) ) ) ] )
% 12.09/12.46 , clause( 43322, [ =( difference( X, product( a( X, Y, Z ), X ) ), i( a( Y
% 12.09/12.46 , Z, X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43325, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43326, [ =( j( X ), product( i( product( X, X ) ), X ) ) ] )
% 12.09/12.46 , clause( 480, [ =( quotient( j( X ), X ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43325, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.46 ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43327, [ =( product( i( product( X, X ) ), X ), j( X ) ) ] )
% 12.09/12.46 , clause( 43326, [ =( j( X ), product( i( product( X, X ) ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 494, [ =( product( i( product( X, X ) ), X ), j( X ) ) ] )
% 12.09/12.46 , clause( 43327, [ =( product( i( product( X, X ) ), X ), j( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43329, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43331, [ =( c( j( X ), X ), difference( eta( X ), one ) ) ] )
% 12.09/12.46 , clause( 338, [ =( product( eta( X ), c( j( X ), X ) ), one ) ] )
% 12.09/12.46 , 0, clause( 43329, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, eta( X
% 12.09/12.46 ) ), :=( Y, c( j( X ), X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43332, [ =( c( j( X ), X ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 12.09/12.46 , 0, clause( 43331, [ =( c( j( X ), X ), difference( eta( X ), one ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.46 X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 513, [ =( c( j( X ), X ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43332, [ =( c( j( X ), X ), i( eta( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43336, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.46 , clause( 31, [ =( a( i( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.46 , 0, clause( 30, [ =( a( j( X ), Y, Z ), a( i( X ), Y, Z ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 514, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.46 , clause( 43336, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43339, [ =( a( Y, Z, X ), a( i( X ), Y, Z ) ) ] )
% 12.09/12.46 , clause( 31, [ =( a( i( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43340, [ =( a( X, Y, j( Z ) ), a( Z, X, Y ) ) ] )
% 12.09/12.46 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43339, [ =( a( Y, Z, X ), a( i( X ), Y, Z ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, j( Z )
% 12.09/12.46 ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 520, [ =( a( Y, Z, j( X ) ), a( X, Y, Z ) ) ] )
% 12.09/12.46 , clause( 43340, [ =( a( X, Y, j( Z ) ), a( Z, X, Y ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43343, [ =( X, difference( difference( X, product( product( X, Y )
% 12.09/12.46 , Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 12.09/12.46 , clause( 45, [ =( difference( difference( Z, product( product( Z, X ), Y )
% 12.09/12.46 ), product( X, product( Y, Z ) ) ), Z ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43348, [ =( c( j( X ), X ), difference( difference( c( j( X ), X )
% 12.09/12.46 , product( product( c( j( X ), X ), Y ), eta( X ) ) ), product( Y, one )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 338, [ =( product( eta( X ), c( j( X ), X ) ), one ) ] )
% 12.09/12.46 , 0, clause( 43343, [ =( X, difference( difference( X, product( product( X
% 12.09/12.46 , Y ), Z ) ), product( Y, product( Z, X ) ) ) ) ] )
% 12.09/12.46 , 0, 22, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, c( j(
% 12.09/12.46 X ), X ) ), :=( Y, Y ), :=( Z, eta( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43349, [ =( c( j( X ), X ), difference( product( Y, eta( X ) ),
% 12.09/12.46 product( Y, one ) ) ) ] )
% 12.09/12.46 , clause( 386, [ =( difference( c( X, Y ), product( product( c( X, Y ), Z )
% 12.09/12.46 , T ) ), product( Z, T ) ) ] )
% 12.09/12.46 , 0, clause( 43348, [ =( c( j( X ), X ), difference( difference( c( j( X )
% 12.09/12.46 , X ), product( product( c( j( X ), X ), Y ), eta( X ) ) ), product( Y,
% 12.09/12.46 one ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, j( X ) ), :=( Y, X ), :=( Z, Y ), :=( T,
% 12.09/12.46 eta( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43350, [ =( c( j( X ), X ), difference( product( Y, eta( X ) ), Y )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.46 , 0, clause( 43349, [ =( c( j( X ), X ), difference( product( Y, eta( X ) )
% 12.09/12.46 , product( Y, one ) ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43351, [ =( i( eta( X ) ), difference( product( Y, eta( X ) ), Y )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 513, [ =( c( j( X ), X ), i( eta( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43350, [ =( c( j( X ), X ), difference( product( Y, eta( X ) )
% 12.09/12.46 , Y ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43352, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 43351, [ =( i( eta( X ) ), difference( product( Y, eta( X ) ), Y
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 552, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 43352, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43354, [ =( quotient( Y, X ), difference( X, product( product( X, Y
% 12.09/12.46 ), j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 47, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 12.09/12.46 quotient( Y, X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43357, [ =( quotient( j( X ), X ), difference( X, product( eta( X )
% 12.09/12.46 , j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 69, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43354, [ =( quotient( Y, X ), difference( X, product( product(
% 12.09/12.46 X, Y ), j( X ) ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, j( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43358, [ =( quotient( j( X ), X ), difference( X, i( X ) ) ) ] )
% 12.09/12.46 , clause( 249, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 12.09/12.46 , 0, clause( 43357, [ =( quotient( j( X ), X ), difference( X, product( eta(
% 12.09/12.46 X ), j( X ) ) ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43359, [ =( i( product( X, X ) ), difference( X, i( X ) ) ) ] )
% 12.09/12.46 , clause( 480, [ =( quotient( j( X ), X ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43358, [ =( quotient( j( X ), X ), difference( X, i( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43360, [ =( difference( X, i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , clause( 43359, [ =( i( product( X, X ) ), difference( X, i( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 577, [ =( difference( X, i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , clause( 43360, [ =( difference( X, i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43362, [ =( difference( product( Z, X ), product( Z, product( X, Y
% 12.09/12.46 ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) )
% 12.09/12.46 , X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43366, [ =( difference( product( j( X ), X ), product( j( X ),
% 12.09/12.46 product( X, Y ) ) ), quotient( quotient( Y, X ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 47, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 12.09/12.46 quotient( Y, X ) ) ] )
% 12.09/12.46 , 0, clause( 43362, [ =( difference( product( Z, X ), product( Z, product(
% 12.09/12.46 X, Y ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, X ), :=( Y, Y ), :=( Z, j( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43367, [ =( difference( one, product( j( X ), product( X, Y ) ) ),
% 12.09/12.46 quotient( quotient( Y, X ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.46 , 0, clause( 43366, [ =( difference( product( j( X ), X ), product( j( X )
% 12.09/12.46 , product( X, Y ) ) ), quotient( quotient( Y, X ), j( X ) ) ) ] )
% 12.09/12.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43368, [ =( product( j( X ), product( X, Y ) ), quotient( quotient(
% 12.09/12.46 Y, X ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 36, [ =( difference( one, X ), X ) ] )
% 12.09/12.46 , 0, clause( 43367, [ =( difference( one, product( j( X ), product( X, Y )
% 12.09/12.46 ) ), quotient( quotient( Y, X ), j( X ) ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, product( j( X ), product( X, Y ) ) )] ),
% 12.09/12.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43369, [ =( quotient( quotient( Y, X ), j( X ) ), product( j( X ),
% 12.09/12.46 product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 43368, [ =( product( j( X ), product( X, Y ) ), quotient(
% 12.09/12.46 quotient( Y, X ), j( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 578, [ =( quotient( quotient( Y, X ), j( X ) ), product( j( X ),
% 12.09/12.46 product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 43369, [ =( quotient( quotient( Y, X ), j( X ) ), product( j( X )
% 12.09/12.46 , product( X, Y ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43371, [ =( quotient( Y, X ), difference( X, product( product( X, Y
% 12.09/12.46 ), j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 47, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 12.09/12.46 quotient( Y, X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43373, [ =( quotient( i( X ), X ), difference( X, product( one, j(
% 12.09/12.46 X ) ) ) ) ] )
% 12.09/12.46 , clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.46 , 0, clause( 43371, [ =( quotient( Y, X ), difference( X, product( product(
% 12.09/12.46 X, Y ), j( X ) ) ) ) ] )
% 12.09/12.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, i( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43374, [ =( quotient( i( X ), X ), difference( X, j( X ) ) ) ] )
% 12.09/12.46 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.46 , 0, clause( 43373, [ =( quotient( i( X ), X ), difference( X, product( one
% 12.09/12.46 , j( X ) ) ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, j( X ) )] ), substitution( 1, [ :=( X, X
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 581, [ =( quotient( i( X ), X ), difference( X, j( X ) ) ) ] )
% 12.09/12.46 , clause( 43374, [ =( quotient( i( X ), X ), difference( X, j( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43377, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43380, [ =( product( product( X, Y ), j( X ) ), product( X,
% 12.09/12.46 quotient( Y, X ) ) ) ] )
% 12.09/12.46 , clause( 47, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 12.09/12.46 quotient( Y, X ) ) ] )
% 12.09/12.46 , 0, clause( 43377, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, X ), :=( Y, product( product( X, Y ), j( X ) ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 582, [ =( product( product( X, Y ), j( X ) ), product( X, quotient(
% 12.09/12.46 Y, X ) ) ) ] )
% 12.09/12.46 , clause( 43380, [ =( product( product( X, Y ), j( X ) ), product( X,
% 12.09/12.46 quotient( Y, X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43383, [ =( i( product( X, X ) ), difference( X, i( X ) ) ) ] )
% 12.09/12.46 , clause( 577, [ =( difference( X, i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43384, [ =( i( product( j( X ), j( X ) ) ), difference( j( X ), X )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43383, [ =( i( product( X, X ) ), difference( X, i( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 587, [ =( i( product( j( X ), j( X ) ) ), difference( j( X ), X ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 43384, [ =( i( product( j( X ), j( X ) ) ), difference( j( X ), X
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43387, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43388, [ =( i( X ), product( X, i( product( X, X ) ) ) ) ] )
% 12.09/12.46 , clause( 577, [ =( difference( X, i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43387, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, i( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43389, [ =( product( X, i( product( X, X ) ) ), i( X ) ) ] )
% 12.09/12.46 , clause( 43388, [ =( i( X ), product( X, i( product( X, X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 588, [ =( product( X, i( product( X, X ) ) ), i( X ) ) ] )
% 12.09/12.46 , clause( 43389, [ =( product( X, i( product( X, X ) ) ), i( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43391, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43392, [ =( i( X ), product( difference( X, j( X ) ), X ) ) ] )
% 12.09/12.46 , clause( 581, [ =( quotient( i( X ), X ), difference( X, j( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43391, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43393, [ =( product( difference( X, j( X ) ), X ), i( X ) ) ] )
% 12.09/12.46 , clause( 43392, [ =( i( X ), product( difference( X, j( X ) ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 590, [ =( product( difference( X, j( X ) ), X ), i( X ) ) ] )
% 12.09/12.46 , clause( 43393, [ =( product( difference( X, j( X ) ), X ), i( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43395, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43396, [ =( i( eta( X ) ), quotient( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , clause( 240, [ =( product( i( eta( X ) ), i( X ) ), j( X ) ) ] )
% 12.09/12.46 , 0, clause( 43395, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( eta(
% 12.09/12.46 X ) ) ), :=( Y, i( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43397, [ =( quotient( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43396, [ =( i( eta( X ) ), quotient( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 631, [ =( quotient( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43397, [ =( quotient( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43399, [ =( product( Y, product( Z, X ) ), product( difference( X,
% 12.09/12.46 product( product( X, Y ), Z ) ), X ) ) ] )
% 12.09/12.46 , clause( 50, [ =( product( difference( Z, product( product( Z, X ), Y ) )
% 12.09/12.46 , Z ), product( X, product( Y, Z ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43403, [ =( product( i( X ), product( Y, X ) ), product( difference(
% 12.09/12.46 X, product( one, Y ) ), X ) ) ] )
% 12.09/12.46 , clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.46 , 0, clause( 43399, [ =( product( Y, product( Z, X ) ), product( difference(
% 12.09/12.46 X, product( product( X, Y ), Z ) ), X ) ) ] )
% 12.09/12.46 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, i( X ) ), :=( Z, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43404, [ =( product( i( X ), product( Y, X ) ), product( difference(
% 12.09/12.46 X, Y ), X ) ) ] )
% 12.09/12.46 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.46 , 0, clause( 43403, [ =( product( i( X ), product( Y, X ) ), product(
% 12.09/12.46 difference( X, product( one, Y ) ), X ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 637, [ =( product( i( X ), product( Y, X ) ), product( difference(
% 12.09/12.46 X, Y ), X ) ) ] )
% 12.09/12.46 , clause( 43404, [ =( product( i( X ), product( Y, X ) ), product(
% 12.09/12.46 difference( X, Y ), X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43407, [ =( i( eta( X ) ), quotient( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , clause( 631, [ =( quotient( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43410, [ =( i( eta( j( X ) ) ), quotient( j( j( X ) ), X ) ) ] )
% 12.09/12.46 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43407, [ =( i( eta( X ) ), quotient( j( X ), i( X ) ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43411, [ =( i( eta( j( X ) ) ), t( X, eta( X ) ) ) ] )
% 12.09/12.46 , clause( 96, [ =( quotient( j( j( X ) ), X ), t( X, eta( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43410, [ =( i( eta( j( X ) ) ), quotient( j( j( X ) ), X ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43412, [ =( i( eta( X ) ), t( X, eta( X ) ) ) ] )
% 12.09/12.46 , clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43411, [ =( i( eta( j( X ) ) ), t( X, eta( X ) ) ) ] )
% 12.09/12.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43413, [ =( t( X, eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43412, [ =( i( eta( X ) ), t( X, eta( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 641, [ =( t( X, eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , clause( 43413, [ =( t( X, eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43415, [ =( X, difference( t( X, Y ), product( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 73, [ =( difference( t( X, Y ), product( X, Y ) ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43417, [ =( X, difference( i( eta( X ) ), product( X, eta( X ) ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 641, [ =( t( X, eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43415, [ =( X, difference( t( X, Y ), product( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, eta( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43418, [ =( X, difference( i( eta( X ) ), j( j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 94, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43417, [ =( X, difference( i( eta( X ) ), product( X, eta( X )
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43419, [ =( difference( i( eta( X ) ), j( j( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 43418, [ =( X, difference( i( eta( X ) ), j( j( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 642, [ =( difference( i( eta( X ) ), j( j( X ) ) ), X ) ] )
% 12.09/12.46 , clause( 43419, [ =( difference( i( eta( X ) ), j( j( X ) ) ), X ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43420, [ =( a( Z, X, Y ), a( X, Y, j( Z ) ) ) ] )
% 12.09/12.46 , clause( 520, [ =( a( Y, Z, j( X ) ), a( X, Y, Z ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43425, [ =( a( X, Y, j( Z ) ), a( Y, i( Z ), j( X ) ) ) ] )
% 12.09/12.46 , clause( 29, [ =( a( X, j( Y ), Z ), a( X, i( Y ), Z ) ) ] )
% 12.09/12.46 , 0, clause( 43420, [ =( a( Z, X, Y ), a( X, Y, j( Z ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, j( X ) )] ),
% 12.09/12.46 substitution( 1, [ :=( X, Y ), :=( Y, j( Z ) ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43427, [ =( a( X, Y, j( Z ) ), a( X, Y, i( Z ) ) ) ] )
% 12.09/12.46 , clause( 520, [ =( a( Y, Z, j( X ) ), a( X, Y, Z ) ) ] )
% 12.09/12.46 , 0, clause( 43425, [ =( a( X, Y, j( Z ) ), a( Y, i( Z ), j( X ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, i( Z ) )] ),
% 12.09/12.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43429, [ =( a( Z, X, Y ), a( X, Y, i( Z ) ) ) ] )
% 12.09/12.46 , clause( 520, [ =( a( Y, Z, j( X ) ), a( X, Y, Z ) ) ] )
% 12.09/12.46 , 0, clause( 43427, [ =( a( X, Y, j( Z ) ), a( X, Y, i( Z ) ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43430, [ =( a( Y, Z, i( X ) ), a( X, Y, Z ) ) ] )
% 12.09/12.46 , clause( 43429, [ =( a( Z, X, Y ), a( X, Y, i( Z ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 674, [ =( a( Z, X, i( Y ) ), a( Y, Z, X ) ) ] )
% 12.09/12.46 , clause( 43430, [ =( a( Y, Z, i( X ) ), a( X, Y, Z ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43432, [ =( quotient( product( Y, eta( X ) ), X ), difference( X,
% 12.09/12.46 product( product( X, Y ), i( X ) ) ) ) ] )
% 12.09/12.46 , clause( 54, [ =( difference( X, product( product( X, Y ), i( X ) ) ),
% 12.09/12.46 quotient( product( Y, eta( X ) ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43441, [ =( quotient( product( X, eta( j( X ) ) ), j( X ) ),
% 12.09/12.46 difference( j( X ), product( one, i( j( X ) ) ) ) ) ] )
% 12.09/12.46 , clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.46 , 0, clause( 43432, [ =( quotient( product( Y, eta( X ) ), X ), difference(
% 12.09/12.46 X, product( product( X, Y ), i( X ) ) ) ) ] )
% 12.09/12.46 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.46 ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43442, [ =( quotient( product( X, eta( j( X ) ) ), j( X ) ),
% 12.09/12.46 difference( j( X ), i( j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.46 , 0, clause( 43441, [ =( quotient( product( X, eta( j( X ) ) ), j( X ) ),
% 12.09/12.46 difference( j( X ), product( one, i( j( X ) ) ) ) ) ] )
% 12.09/12.46 , 0, 12, substitution( 0, [ :=( X, i( j( X ) ) )] ), substitution( 1, [
% 12.09/12.46 :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43443, [ =( quotient( product( X, eta( j( X ) ) ), j( X ) ), i(
% 12.09/12.46 product( j( X ), j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 577, [ =( difference( X, i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43442, [ =( quotient( product( X, eta( j( X ) ) ), j( X ) ),
% 12.09/12.46 difference( j( X ), i( j( X ) ) ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, j( X ) )] ), substitution( 1, [ :=( X, X
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43444, [ =( quotient( product( X, eta( j( X ) ) ), j( X ) ),
% 12.09/12.46 difference( j( X ), X ) ) ] )
% 12.09/12.46 , clause( 587, [ =( i( product( j( X ), j( X ) ) ), difference( j( X ), X )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, clause( 43443, [ =( quotient( product( X, eta( j( X ) ) ), j( X ) ), i(
% 12.09/12.46 product( j( X ), j( X ) ) ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43445, [ =( quotient( product( X, eta( X ) ), j( X ) ), difference(
% 12.09/12.46 j( X ), X ) ) ] )
% 12.09/12.46 , clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43444, [ =( quotient( product( X, eta( j( X ) ) ), j( X ) ),
% 12.09/12.46 difference( j( X ), X ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43446, [ =( quotient( j( j( X ) ), j( X ) ), difference( j( X ), X
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 94, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43445, [ =( quotient( product( X, eta( X ) ), j( X ) ),
% 12.09/12.46 difference( j( X ), X ) ) ] )
% 12.09/12.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43447, [ =( product( j( j( X ) ), X ), difference( j( X ), X ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 154, [ =( quotient( j( j( X ) ), j( X ) ), product( j( j( X ) ),
% 12.09/12.46 X ) ) ] )
% 12.09/12.46 , 0, clause( 43446, [ =( quotient( j( j( X ) ), j( X ) ), difference( j( X
% 12.09/12.46 ), X ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43448, [ =( quotient( X, i( X ) ), difference( j( X ), X ) ) ] )
% 12.09/12.46 , clause( 275, [ =( product( j( j( X ) ), X ), quotient( X, i( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43447, [ =( product( j( j( X ) ), X ), difference( j( X ), X )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 678, [ =( quotient( X, i( X ) ), difference( j( X ), X ) ) ] )
% 12.09/12.46 , clause( 43448, [ =( quotient( X, i( X ) ), difference( j( X ), X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43451, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.46 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43452, [ =( X, product( product( X, eta( Y ) ), i( eta( Y ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 552, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, clause( 43451, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.46 :=( X, product( X, eta( Y ) ) ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43453, [ =( product( product( X, eta( Y ) ), i( eta( Y ) ) ), X ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43452, [ =( X, product( product( X, eta( Y ) ), i( eta( Y ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 693, [ =( product( product( X, eta( Y ) ), i( eta( Y ) ) ), X ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43453, [ =( product( product( X, eta( Y ) ), i( eta( Y ) ) ), X )
% 12.09/12.46 ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43455, [ =( difference( product( Y, X ), Y ), quotient( difference(
% 12.09/12.46 X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 61, [ =( quotient( difference( X, Y ), Y ), difference( product(
% 12.09/12.46 Y, X ), Y ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43457, [ =( difference( product( X, X ), X ), quotient( one, X ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 40, [ =( difference( X, X ), one ) ] )
% 12.09/12.46 , 0, clause( 43455, [ =( difference( product( Y, X ), Y ), quotient(
% 12.09/12.46 difference( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43458, [ =( difference( product( X, X ), X ), j( X ) ) ] )
% 12.09/12.46 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.46 , 0, clause( 43457, [ =( difference( product( X, X ), X ), quotient( one, X
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 707, [ =( difference( product( X, X ), X ), j( X ) ) ] )
% 12.09/12.46 , clause( 43458, [ =( difference( product( X, X ), X ), j( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43461, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 12.09/12.46 , clause( 43, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43462, [ =( product( X, X ), quotient( X, j( X ) ) ) ] )
% 12.09/12.46 , clause( 707, [ =( difference( product( X, X ), X ), j( X ) ) ] )
% 12.09/12.46 , 0, clause( 43461, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, product( X, X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43463, [ =( quotient( X, j( X ) ), product( X, X ) ) ] )
% 12.09/12.46 , clause( 43462, [ =( product( X, X ), quotient( X, j( X ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 712, [ =( quotient( X, j( X ) ), product( X, X ) ) ] )
% 12.09/12.46 , clause( 43463, [ =( quotient( X, j( X ) ), product( X, X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43465, [ =( product( X, X ), quotient( X, j( X ) ) ) ] )
% 12.09/12.46 , clause( 712, [ =( quotient( X, j( X ) ), product( X, X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43469, [ =( product( i( X ), i( X ) ), quotient( i( X ), X ) ) ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43465, [ =( product( X, X ), quotient( X, j( X ) ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.46 )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43470, [ =( product( i( X ), i( X ) ), difference( X, j( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 581, [ =( quotient( i( X ), X ), difference( X, j( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43469, [ =( product( i( X ), i( X ) ), quotient( i( X ), X ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43471, [ =( j( quotient( X, i( X ) ) ), difference( X, j( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 479, [ =( product( i( X ), i( X ) ), j( quotient( X, i( X ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, clause( 43470, [ =( product( i( X ), i( X ) ), difference( X, j( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43472, [ =( j( difference( j( X ), X ) ), difference( X, j( X ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 678, [ =( quotient( X, i( X ) ), difference( j( X ), X ) ) ] )
% 12.09/12.46 , 0, clause( 43471, [ =( j( quotient( X, i( X ) ) ), difference( X, j( X )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 713, [ =( j( difference( j( X ), X ) ), difference( X, j( X ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43472, [ =( j( difference( j( X ), X ) ), difference( X, j( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43475, [ =( X, product( product( X, eta( Y ) ), i( eta( Y ) ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 693, [ =( product( product( X, eta( Y ) ), i( eta( Y ) ) ), X ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43476, [ =( quotient( X, eta( Y ) ), product( X, i( eta( Y ) ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, clause( 43475, [ =( X, product( product( X, eta( Y ) ), i( eta( Y ) )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, eta( Y ) )] ), substitution(
% 12.09/12.46 1, [ :=( X, quotient( X, eta( Y ) ) ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43477, [ =( product( X, i( eta( Y ) ) ), quotient( X, eta( Y ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 43476, [ =( quotient( X, eta( Y ) ), product( X, i( eta( Y ) ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 720, [ =( product( X, i( eta( Y ) ) ), quotient( X, eta( Y ) ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43477, [ =( product( X, i( eta( Y ) ) ), quotient( X, eta( Y ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43479, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 12.09/12.46 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , clause( 62, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 12.09/12.46 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43483, [ =( difference( product( X, Y ), product( X, eta( X ) ) ),
% 12.09/12.46 quotient( difference( Y, i( i( X ) ) ), X ) ) ] )
% 12.09/12.46 , clause( 267, [ =( product( eta( X ), X ), i( i( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43479, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 12.09/12.46 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 12.09/12.46 :=( Y, eta( X ) ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43484, [ =( difference( product( X, Y ), j( j( X ) ) ), quotient(
% 12.09/12.46 difference( Y, i( i( X ) ) ), X ) ) ] )
% 12.09/12.46 , clause( 94, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.46 , 0, clause( 43483, [ =( difference( product( X, Y ), product( X, eta( X )
% 12.09/12.46 ) ), quotient( difference( Y, i( i( X ) ) ), X ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43485, [ =( quotient( difference( Y, i( i( X ) ) ), X ), difference(
% 12.09/12.46 product( X, Y ), j( j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 43484, [ =( difference( product( X, Y ), j( j( X ) ) ), quotient(
% 12.09/12.46 difference( Y, i( i( X ) ) ), X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 725, [ =( quotient( difference( Y, i( i( X ) ) ), X ), difference(
% 12.09/12.46 product( X, Y ), j( j( X ) ) ) ) ] )
% 12.09/12.46 , clause( 43485, [ =( quotient( difference( Y, i( i( X ) ) ), X ),
% 12.09/12.46 difference( product( X, Y ), j( j( X ) ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43487, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 12.09/12.46 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , clause( 62, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 12.09/12.46 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43492, [ =( difference( product( X, Y ), product( X, j( X ) ) ),
% 12.09/12.46 quotient( difference( Y, one ), X ) ) ] )
% 12.09/12.46 , clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.46 , 0, clause( 43487, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 12.09/12.46 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 12.09/12.46 :=( Y, j( X ) ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43493, [ =( difference( product( X, Y ), product( X, j( X ) ) ),
% 12.09/12.46 quotient( i( Y ), X ) ) ] )
% 12.09/12.46 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 12.09/12.46 , 0, clause( 43492, [ =( difference( product( X, Y ), product( X, j( X ) )
% 12.09/12.46 ), quotient( difference( Y, one ), X ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43494, [ =( difference( product( X, Y ), eta( X ) ), quotient( i( Y
% 12.09/12.46 ), X ) ) ] )
% 12.09/12.46 , clause( 69, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 12.09/12.46 , 0, clause( 43493, [ =( difference( product( X, Y ), product( X, j( X ) )
% 12.09/12.46 ), quotient( i( Y ), X ) ) ] )
% 12.09/12.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 731, [ =( difference( product( X, Y ), eta( X ) ), quotient( i( Y )
% 12.09/12.46 , X ) ) ] )
% 12.09/12.46 , clause( 43494, [ =( difference( product( X, Y ), eta( X ) ), quotient( i(
% 12.09/12.46 Y ), X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43497, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 12.09/12.46 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , clause( 62, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 12.09/12.46 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43500, [ =( difference( product( X, product( Y, X ) ), product( X,
% 12.09/12.46 Y ) ), quotient( one, X ) ) ] )
% 12.09/12.46 , clause( 40, [ =( difference( X, X ), one ) ] )
% 12.09/12.46 , 0, clause( 43497, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 12.09/12.46 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 12.09/12.46 , 0, 11, substitution( 0, [ :=( X, product( Y, X ) )] ), substitution( 1, [
% 12.09/12.46 :=( X, product( Y, X ) ), :=( Y, Y ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43501, [ =( difference( product( X, product( Y, X ) ), product( X,
% 12.09/12.46 Y ) ), j( X ) ) ] )
% 12.09/12.46 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.46 , 0, clause( 43500, [ =( difference( product( X, product( Y, X ) ), product(
% 12.09/12.46 X, Y ) ), quotient( one, X ) ) ] )
% 12.09/12.46 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 733, [ =( difference( product( Y, product( X, Y ) ), product( Y, X
% 12.09/12.46 ) ), j( Y ) ) ] )
% 12.09/12.46 , clause( 43501, [ =( difference( product( X, product( Y, X ) ), product( X
% 12.09/12.46 , Y ) ), j( X ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43504, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43505, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 133, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , 0, clause( 43504, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.46 :=( X, product( eta( X ), j( Y ) ) ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 752, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43505, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y )
% 12.09/12.46 ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43508, [ =( product( j( j( X ) ), Y ), product( X, product( eta( X
% 12.09/12.46 ), Y ) ) ) ] )
% 12.09/12.46 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 12.09/12.46 ), Y ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43510, [ =( product( j( j( X ) ), j( Y ) ), product( X, quotient(
% 12.09/12.46 eta( X ), Y ) ) ) ] )
% 12.09/12.46 , clause( 752, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, clause( 43508, [ =( product( j( j( X ) ), Y ), product( X, product(
% 12.09/12.46 eta( X ), Y ) ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, X ), :=( Y, j( Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43511, [ =( j( quotient( Y, X ) ), product( X, quotient( eta( X ),
% 12.09/12.46 Y ) ) ) ] )
% 12.09/12.46 , clause( 261, [ =( product( j( j( Y ) ), j( X ) ), j( quotient( X, Y ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, clause( 43510, [ =( product( j( j( X ) ), j( Y ) ), product( X,
% 12.09/12.46 quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.46 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43512, [ =( product( Y, quotient( eta( Y ), X ) ), j( quotient( X,
% 12.09/12.46 Y ) ) ) ] )
% 12.09/12.46 , clause( 43511, [ =( j( quotient( Y, X ) ), product( X, quotient( eta( X )
% 12.09/12.46 , Y ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 785, [ =( product( X, quotient( eta( X ), Y ) ), j( quotient( Y, X
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , clause( 43512, [ =( product( Y, quotient( eta( Y ), X ) ), j( quotient( X
% 12.09/12.46 , Y ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43514, [ =( quotient( eta( X ), Y ), product( eta( X ), j( Y ) ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 752, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43515, [ =( quotient( eta( X ), i( Y ) ), product( eta( X ), Y ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.46 , 0, clause( 43514, [ =( quotient( eta( X ), Y ), product( eta( X ), j( Y )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.46 :=( Y, i( Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 787, [ =( quotient( eta( Y ), i( X ) ), product( eta( Y ), X ) ) ]
% 12.09/12.46 )
% 12.09/12.46 , clause( 43515, [ =( quotient( eta( X ), i( Y ) ), product( eta( X ), Y )
% 12.09/12.46 ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43518, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.46 , clause( 39, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43519, [ =( i( X ), difference( product( eta( Y ), X ), eta( Y ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 787, [ =( quotient( eta( Y ), i( X ) ), product( eta( Y ), X ) )
% 12.09/12.46 ] )
% 12.09/12.46 , 0, clause( 43518, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 12.09/12.46 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, eta( Y ) ), :=( Y, i( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43520, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 43519, [ =( i( X ), difference( product( eta( Y ), X ), eta( Y )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 790, [ =( difference( product( eta( X ), Y ), eta( X ) ), i( Y ) )
% 12.09/12.46 ] )
% 12.09/12.46 , clause( 43520, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43522, [ =( difference( product( Y, X ), Y ), quotient( difference(
% 12.09/12.46 X, Y ), Y ) ) ] )
% 12.09/12.46 , clause( 61, [ =( quotient( difference( X, Y ), Y ), difference( product(
% 12.09/12.46 Y, X ), Y ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43525, [ =( difference( product( eta( X ), product( eta( X ), Y ) )
% 12.09/12.46 , eta( X ) ), quotient( i( Y ), eta( X ) ) ) ] )
% 12.09/12.46 , clause( 790, [ =( difference( product( eta( X ), Y ), eta( X ) ), i( Y )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, clause( 43522, [ =( difference( product( Y, X ), Y ), quotient(
% 12.09/12.46 difference( X, Y ), Y ) ) ] )
% 12.09/12.46 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, product( eta( X ), Y ) ), :=( Y, eta( X ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43527, [ =( i( product( eta( X ), Y ) ), quotient( i( Y ), eta( X )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 790, [ =( difference( product( eta( X ), Y ), eta( X ) ), i( Y )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, clause( 43525, [ =( difference( product( eta( X ), product( eta( X ),
% 12.09/12.46 Y ) ), eta( X ) ), quotient( i( Y ), eta( X ) ) ) ] )
% 12.09/12.46 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, product( eta( X ), Y ) )] ),
% 12.09/12.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43528, [ =( quotient( i( Y ), eta( X ) ), i( product( eta( X ), Y )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 43527, [ =( i( product( eta( X ), Y ) ), quotient( i( Y ), eta( X
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 791, [ =( quotient( i( Y ), eta( X ) ), i( product( eta( X ), Y ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 43528, [ =( quotient( i( Y ), eta( X ) ), i( product( eta( X ), Y
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43530, [ =( i( Y ), difference( product( eta( X ), Y ), eta( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 790, [ =( difference( product( eta( X ), Y ), eta( X ) ), i( Y )
% 12.09/12.46 ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43533, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.46 , 0, clause( 43530, [ =( i( Y ), difference( product( eta( X ), Y ), eta( X
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , 0, 7, substitution( 0, [ :=( X, eta( X ) ), :=( Y, Y )] ), substitution(
% 12.09/12.46 1, [ :=( X, X ), :=( Y, difference( eta( X ), Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 793, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X ) )
% 12.09/12.46 ) ] )
% 12.09/12.46 , clause( 43533, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X
% 12.09/12.46 ) ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.46 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43536, [ =( a( Z, X, Y ), a( X, Y, i( Z ) ) ) ] )
% 12.09/12.46 , clause( 674, [ =( a( Z, X, i( Y ) ), a( Y, Z, X ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 paramod(
% 12.09/12.46 clause( 43537, [ =( a( difference( eta( X ), Y ), Z, T ), a( Z, T,
% 12.09/12.46 difference( Y, eta( X ) ) ) ) ] )
% 12.09/12.46 , clause( 793, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X )
% 12.09/12.46 ) ) ] )
% 12.09/12.46 , 0, clause( 43536, [ =( a( Z, X, Y ), a( X, Y, i( Z ) ) ) ] )
% 12.09/12.46 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.46 :=( X, Z ), :=( Y, T ), :=( Z, difference( eta( X ), Y ) )] )).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43538, [ =( a( Z, T, difference( Y, eta( X ) ) ), a( difference(
% 12.09/12.46 eta( X ), Y ), Z, T ) ) ] )
% 12.09/12.46 , clause( 43537, [ =( a( difference( eta( X ), Y ), Z, T ), a( Z, T,
% 12.09/12.46 difference( Y, eta( X ) ) ) ) ] )
% 12.09/12.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.46 ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 subsumption(
% 12.09/12.46 clause( 797, [ =( a( Z, T, difference( Y, eta( X ) ) ), a( difference( eta(
% 12.09/12.46 X ), Y ), Z, T ) ) ] )
% 12.09/12.46 , clause( 43538, [ =( a( Z, T, difference( Y, eta( X ) ) ), a( difference(
% 12.09/12.46 eta( X ), Y ), Z, T ) ) ] )
% 12.09/12.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.09/12.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.46
% 12.09/12.46
% 12.09/12.46 eqswap(
% 12.09/12.46 clause( 43540, [ =( quotient( eta( product( Y, X ) ), X ), difference( X,
% 12.09/12.47 product( product( X, i( product( Y, X ) ) ), Y ) ) ) ] )
% 12.09/12.47 , clause( 53, [ =( difference( Y, product( product( Y, i( product( X, Y ) )
% 12.09/12.47 ), X ) ), quotient( eta( product( X, Y ) ), Y ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43548, [ =( quotient( eta( product( product( eta( X ), Y ), i( Y )
% 12.09/12.47 ) ), i( Y ) ), difference( i( Y ), product( product( i( Y ), i( eta( X )
% 12.09/12.47 ) ), product( eta( X ), Y ) ) ) ) ] )
% 12.09/12.47 , clause( 134, [ =( product( product( eta( Y ), X ), i( X ) ), eta( Y ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, clause( 43540, [ =( quotient( eta( product( Y, X ) ), X ), difference(
% 12.09/12.47 X, product( product( X, i( product( Y, X ) ) ), Y ) ) ) ] )
% 12.09/12.47 , 0, 20, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, i( Y ) ), :=( Y, product( eta( X ), Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43549, [ =( quotient( eta( eta( X ) ), i( Y ) ), difference( i( Y )
% 12.09/12.47 , product( product( i( Y ), i( eta( X ) ) ), product( eta( X ), Y ) ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 134, [ =( product( product( eta( Y ), X ), i( X ) ), eta( Y ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, clause( 43548, [ =( quotient( eta( product( product( eta( X ), Y ), i(
% 12.09/12.47 Y ) ) ), i( Y ) ), difference( i( Y ), product( product( i( Y ), i( eta(
% 12.09/12.47 X ) ) ), product( eta( X ), Y ) ) ) ) ] )
% 12.09/12.47 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43554, [ =( quotient( eta( eta( X ) ), i( Y ) ), difference( i( Y )
% 12.09/12.47 , product( quotient( i( Y ), eta( X ) ), product( eta( X ), Y ) ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 720, [ =( product( X, i( eta( Y ) ) ), quotient( X, eta( Y ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43549, [ =( quotient( eta( eta( X ) ), i( Y ) ), difference( i(
% 12.09/12.47 Y ), product( product( i( Y ), i( eta( X ) ) ), product( eta( X ), Y ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, 11, substitution( 0, [ :=( X, i( Y ) ), :=( Y, X )] ), substitution( 1
% 12.09/12.47 , [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43555, [ =( quotient( eta( eta( X ) ), i( Y ) ), difference( i( Y )
% 12.09/12.47 , product( i( product( eta( X ), Y ) ), product( eta( X ), Y ) ) ) ) ] )
% 12.09/12.47 , clause( 791, [ =( quotient( i( Y ), eta( X ) ), i( product( eta( X ), Y )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, clause( 43554, [ =( quotient( eta( eta( X ) ), i( Y ) ), difference( i(
% 12.09/12.47 Y ), product( quotient( i( Y ), eta( X ) ), product( eta( X ), Y ) ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43556, [ =( quotient( eta( eta( X ) ), i( Y ) ), difference( i( Y )
% 12.09/12.47 , eta( product( eta( X ), Y ) ) ) ) ] )
% 12.09/12.47 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43555, [ =( quotient( eta( eta( X ) ), i( Y ) ), difference( i(
% 12.09/12.47 Y ), product( i( product( eta( X ), Y ) ), product( eta( X ), Y ) ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, product( eta( X ), Y ) )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43557, [ =( product( eta( eta( X ) ), Y ), difference( i( Y ), eta(
% 12.09/12.47 product( eta( X ), Y ) ) ) ) ] )
% 12.09/12.47 , clause( 787, [ =( quotient( eta( Y ), i( X ) ), product( eta( Y ), X ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43556, [ =( quotient( eta( eta( X ) ), i( Y ) ), difference( i(
% 12.09/12.47 Y ), eta( product( eta( X ), Y ) ) ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, eta( X ) )] ), substitution(
% 12.09/12.47 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43558, [ =( product( one, Y ), difference( i( Y ), eta( product(
% 12.09/12.47 eta( X ), Y ) ) ) ) ] )
% 12.09/12.47 , clause( 235, [ =( eta( eta( X ) ), one ) ] )
% 12.09/12.47 , 0, clause( 43557, [ =( product( eta( eta( X ) ), Y ), difference( i( Y )
% 12.09/12.47 , eta( product( eta( X ), Y ) ) ) ) ] )
% 12.09/12.47 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43559, [ =( X, difference( i( X ), eta( product( eta( Y ), X ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.47 , 0, clause( 43558, [ =( product( one, Y ), difference( i( Y ), eta(
% 12.09/12.47 product( eta( X ), Y ) ) ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 12.09/12.47 :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43560, [ =( difference( i( X ), eta( product( eta( Y ), X ) ) ), X
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 43559, [ =( X, difference( i( X ), eta( product( eta( Y ), X ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 814, [ =( difference( i( Y ), eta( product( eta( X ), Y ) ) ), Y )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 43560, [ =( difference( i( X ), eta( product( eta( Y ), X ) ) ),
% 12.09/12.47 X ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43562, [ =( difference( X, j( X ) ), j( difference( j( X ), X ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 713, [ =( j( difference( j( X ), X ) ), difference( X, j( X ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43566, [ =( difference( i( X ), j( i( X ) ) ), j( difference( X, i(
% 12.09/12.47 X ) ) ) ) ] )
% 12.09/12.47 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.47 , 0, clause( 43562, [ =( difference( X, j( X ) ), j( difference( j( X ), X
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 12.09/12.47 )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43568, [ =( difference( i( X ), j( i( X ) ) ), j( i( product( X, X
% 12.09/12.47 ) ) ) ) ] )
% 12.09/12.47 , clause( 577, [ =( difference( X, i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.47 , 0, clause( 43566, [ =( difference( i( X ), j( i( X ) ) ), j( difference(
% 12.09/12.47 X, i( X ) ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43570, [ =( difference( i( X ), j( i( X ) ) ), product( X, X ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.47 , 0, clause( 43568, [ =( difference( i( X ), j( i( X ) ) ), j( i( product(
% 12.09/12.47 X, X ) ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, product( X, X ) )] ), substitution( 1, [
% 12.09/12.47 :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43571, [ =( difference( i( X ), X ), product( X, X ) ) ] )
% 12.09/12.47 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.47 , 0, clause( 43570, [ =( difference( i( X ), j( i( X ) ) ), product( X, X )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 845, [ =( difference( i( X ), X ), product( X, X ) ) ] )
% 12.09/12.47 , clause( 43571, [ =( difference( i( X ), X ), product( X, X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43576, [ =( X, i( j( X ) ) ) ] )
% 12.09/12.47 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43577, [ =( difference( j( X ), X ), i( difference( X, j( X ) ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 713, [ =( j( difference( j( X ), X ) ), difference( X, j( X ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43576, [ =( X, i( j( X ) ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 12.09/12.47 difference( j( X ), X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43578, [ =( i( difference( X, j( X ) ) ), difference( j( X ), X ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 43577, [ =( difference( j( X ), X ), i( difference( X, j( X ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 846, [ =( i( difference( X, j( X ) ) ), difference( j( X ), X ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 43578, [ =( i( difference( X, j( X ) ) ), difference( j( X ), X )
% 12.09/12.47 ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43580, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 12.09/12.47 , clause( 43, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43581, [ =( i( X ), quotient( X, product( X, X ) ) ) ] )
% 12.09/12.47 , clause( 845, [ =( difference( i( X ), X ), product( X, X ) ) ] )
% 12.09/12.47 , 0, clause( 43580, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, i( X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43582, [ =( quotient( X, product( X, X ) ), i( X ) ) ] )
% 12.09/12.47 , clause( 43581, [ =( i( X ), quotient( X, product( X, X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 849, [ =( quotient( X, product( X, X ) ), i( X ) ) ] )
% 12.09/12.47 , clause( 43582, [ =( quotient( X, product( X, X ) ), i( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43584, [ =( product( X, X ), difference( i( X ), X ) ) ] )
% 12.09/12.47 , clause( 845, [ =( difference( i( X ), X ), product( X, X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43585, [ =( product( j( X ), j( X ) ), difference( X, j( X ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.47 , 0, clause( 43584, [ =( product( X, X ), difference( i( X ), X ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.47 )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 850, [ =( product( j( X ), j( X ) ), difference( X, j( X ) ) ) ] )
% 12.09/12.47 , clause( 43585, [ =( product( j( X ), j( X ) ), difference( X, j( X ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43588, [ =( product( eta( X ), Y ), difference( X, product( j( j( X
% 12.09/12.47 ) ), Y ) ) ) ] )
% 12.09/12.47 , clause( 92, [ =( difference( X, product( j( j( X ) ), Y ) ), product( eta(
% 12.09/12.47 X ), Y ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43590, [ =( product( eta( X ), j( product( Y, X ) ) ), difference(
% 12.09/12.47 X, j( Y ) ) ) ] )
% 12.09/12.47 , clause( 21, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, clause( 43588, [ =( product( eta( X ), Y ), difference( X, product( j(
% 12.09/12.47 j( X ) ), Y ) ) ) ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, j( product( Y, X ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43591, [ =( quotient( eta( X ), product( Y, X ) ), difference( X, j(
% 12.09/12.47 Y ) ) ) ] )
% 12.09/12.47 , clause( 752, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43590, [ =( product( eta( X ), j( product( Y, X ) ) ),
% 12.09/12.47 difference( X, j( Y ) ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, product( Y, X ) )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 940, [ =( quotient( eta( X ), product( Y, X ) ), difference( X, j(
% 12.09/12.47 Y ) ) ) ] )
% 12.09/12.47 , clause( 43591, [ =( quotient( eta( X ), product( Y, X ) ), difference( X
% 12.09/12.47 , j( Y ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43595, [ =( quotient( j( j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.47 , clause( 641, [ =( t( X, eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.47 , 0, clause( 96, [ =( quotient( j( j( X ) ), X ), t( X, eta( X ) ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 963, [ =( quotient( j( j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.47 , clause( 43595, [ =( quotient( j( j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43598, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.47 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43601, [ =( eta( product( eta( X ), Y ) ), product( i( Y ), Y ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 814, [ =( difference( i( Y ), eta( product( eta( X ), Y ) ) ), Y
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, clause( 43598, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.47 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, i( Y ) ), :=( Y, eta( product( eta( X ), Y ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43602, [ =( eta( product( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.47 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43601, [ =( eta( product( eta( X ), Y ) ), product( i( Y ), Y
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 995, [ =( eta( product( eta( Y ), X ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 43602, [ =( eta( product( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43605, [ =( eta( Y ), eta( product( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , clause( 995, [ =( eta( product( eta( Y ), X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43610, [ =( eta( j( X ) ), eta( quotient( eta( Y ), X ) ) ) ] )
% 12.09/12.47 , clause( 752, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43605, [ =( eta( Y ), eta( product( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, Y ), :=( Y, j( X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43611, [ =( eta( X ), eta( quotient( eta( Y ), X ) ) ) ] )
% 12.09/12.47 , clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43610, [ =( eta( j( X ) ), eta( quotient( eta( Y ), X ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43612, [ =( eta( quotient( eta( Y ), X ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 43611, [ =( eta( X ), eta( quotient( eta( Y ), X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1000, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.47 , clause( 43612, [ =( eta( quotient( eta( Y ), X ) ), eta( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43614, [ =( eta( Y ), eta( product( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , clause( 995, [ =( eta( product( eta( Y ), X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43615, [ =( eta( difference( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.47 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.47 , 0, clause( 43614, [ =( eta( Y ), eta( product( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, eta( X ) ), :=( Y, Y )] ), substitution(
% 12.09/12.47 1, [ :=( X, X ), :=( Y, difference( eta( X ), Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1026, [ =( eta( difference( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.47 , clause( 43615, [ =( eta( difference( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43619, [ =( product( j( X ), i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.47 , clause( 480, [ =( quotient( j( X ), X ), i( product( X, X ) ) ) ] )
% 12.09/12.47 , 0, clause( 16, [ =( product( j( X ), i( X ) ), quotient( j( X ), X ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1027, [ =( product( j( X ), i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.47 , clause( 43619, [ =( product( j( X ), i( X ) ), i( product( X, X ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43622, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 12.09/12.47 , clause( 55, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43625, [ =( i( quotient( eta( X ), Y ) ), quotient( eta( Y ),
% 12.09/12.47 quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , clause( 1000, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.47 , 0, clause( 43622, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, quotient( eta( X ), Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43626, [ =( quotient( eta( Y ), quotient( eta( X ), Y ) ), i(
% 12.09/12.47 quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , clause( 43625, [ =( i( quotient( eta( X ), Y ) ), quotient( eta( Y ),
% 12.09/12.47 quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1054, [ =( quotient( eta( Y ), quotient( eta( X ), Y ) ), i(
% 12.09/12.47 quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , clause( 43626, [ =( quotient( eta( Y ), quotient( eta( X ), Y ) ), i(
% 12.09/12.47 quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43628, [ =( eta( Y ), eta( quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , clause( 1000, [ =( eta( quotient( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43631, [ =( eta( product( X, Y ) ), eta( difference( Y, j( X ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 940, [ =( quotient( eta( X ), product( Y, X ) ), difference( X, j(
% 12.09/12.47 Y ) ) ) ] )
% 12.09/12.47 , 0, clause( 43628, [ =( eta( Y ), eta( quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, Y ), :=( Y, product( X, Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43632, [ =( eta( difference( Y, j( X ) ) ), eta( product( X, Y ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 43631, [ =( eta( product( X, Y ) ), eta( difference( Y, j( X ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1249, [ =( eta( difference( X, j( Y ) ) ), eta( product( Y, X ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 43632, [ =( eta( difference( Y, j( X ) ) ), eta( product( X, Y )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43634, [ =( difference( X, j( Y ) ), quotient( eta( X ), product( Y
% 12.09/12.47 , X ) ) ) ] )
% 12.09/12.47 , clause( 940, [ =( quotient( eta( X ), product( Y, X ) ), difference( X, j(
% 12.09/12.47 Y ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43638, [ =( difference( i( eta( X ) ), j( Y ) ), quotient( eta( i(
% 12.09/12.47 eta( X ) ) ), quotient( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , clause( 720, [ =( product( X, i( eta( Y ) ) ), quotient( X, eta( Y ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43634, [ =( difference( X, j( Y ) ), quotient( eta( X ),
% 12.09/12.47 product( Y, X ) ) ) ] )
% 12.09/12.47 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, i( eta( X ) ) ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43639, [ =( difference( i( eta( X ) ), j( Y ) ), quotient( eta( eta(
% 12.09/12.47 X ) ), quotient( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , clause( 59, [ =( eta( i( X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43638, [ =( difference( i( eta( X ) ), j( Y ) ), quotient( eta(
% 12.09/12.47 i( eta( X ) ) ), quotient( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 12.09/12.47 X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43640, [ =( difference( i( eta( X ) ), j( Y ) ), quotient( one,
% 12.09/12.47 quotient( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , clause( 235, [ =( eta( eta( X ) ), one ) ] )
% 12.09/12.47 , 0, clause( 43639, [ =( difference( i( eta( X ) ), j( Y ) ), quotient( eta(
% 12.09/12.47 eta( X ) ), quotient( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43641, [ =( difference( i( eta( X ) ), j( Y ) ), j( quotient( Y,
% 12.09/12.47 eta( X ) ) ) ) ] )
% 12.09/12.47 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.47 , 0, clause( 43640, [ =( difference( i( eta( X ) ), j( Y ) ), quotient( one
% 12.09/12.47 , quotient( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, quotient( Y, eta( X ) ) )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1259, [ =( difference( i( eta( Y ) ), j( X ) ), j( quotient( X, eta(
% 12.09/12.47 Y ) ) ) ) ] )
% 12.09/12.47 , clause( 43641, [ =( difference( i( eta( X ) ), j( Y ) ), j( quotient( Y,
% 12.09/12.47 eta( X ) ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43643, [ =( eta( product( Y, X ) ), eta( difference( X, j( Y ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 1249, [ =( eta( difference( X, j( Y ) ) ), eta( product( Y, X ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43646, [ =( eta( product( X, eta( Y ) ) ), eta( j( X ) ) ) ] )
% 12.09/12.47 , clause( 1026, [ =( eta( difference( eta( X ), Y ) ), eta( Y ) ) ] )
% 12.09/12.47 , 0, clause( 43643, [ =( eta( product( Y, X ) ), eta( difference( X, j( Y )
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, j( X ) )] ), substitution( 1
% 12.09/12.47 , [ :=( X, eta( Y ) ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43647, [ =( eta( product( X, eta( Y ) ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43646, [ =( eta( product( X, eta( Y ) ) ), eta( j( X ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1272, [ =( eta( product( Y, eta( X ) ) ), eta( Y ) ) ] )
% 12.09/12.47 , clause( 43647, [ =( eta( product( X, eta( Y ) ) ), eta( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43650, [ =( eta( X ), eta( product( X, eta( Y ) ) ) ) ] )
% 12.09/12.47 , clause( 1272, [ =( eta( product( Y, eta( X ) ) ), eta( Y ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43651, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.47 , 0, clause( 43650, [ =( eta( X ), eta( product( X, eta( Y ) ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, eta( Y ) )] ), substitution(
% 12.09/12.47 1, [ :=( X, quotient( X, eta( Y ) ) ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1311, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 43651, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43654, [ =( j( X ), difference( X, eta( X ) ) ) ] )
% 12.09/12.47 , clause( 66, [ =( difference( X, eta( X ) ), j( X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43655, [ =( j( quotient( X, eta( Y ) ) ), difference( quotient( X,
% 12.09/12.47 eta( Y ) ), eta( X ) ) ) ] )
% 12.09/12.47 , clause( 1311, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43654, [ =( j( X ), difference( X, eta( X ) ) ) ] )
% 12.09/12.47 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, quotient( X, eta( Y ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43656, [ =( difference( quotient( X, eta( Y ) ), eta( X ) ), j(
% 12.09/12.47 quotient( X, eta( Y ) ) ) ) ] )
% 12.09/12.47 , clause( 43655, [ =( j( quotient( X, eta( Y ) ) ), difference( quotient( X
% 12.09/12.47 , eta( Y ) ), eta( X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1365, [ =( difference( quotient( X, eta( Y ) ), eta( X ) ), j(
% 12.09/12.47 quotient( X, eta( Y ) ) ) ) ] )
% 12.09/12.47 , clause( 43656, [ =( difference( quotient( X, eta( Y ) ), eta( X ) ), j(
% 12.09/12.47 quotient( X, eta( Y ) ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43658, [ =( quotient( i( Y ), X ), difference( product( X, Y ), eta(
% 12.09/12.47 X ) ) ) ] )
% 12.09/12.47 , clause( 731, [ =( difference( product( X, Y ), eta( X ) ), quotient( i( Y
% 12.09/12.47 ), X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43661, [ =( quotient( i( i( eta( X ) ) ), Y ), difference( quotient(
% 12.09/12.47 Y, eta( X ) ), eta( Y ) ) ) ] )
% 12.09/12.47 , clause( 720, [ =( product( X, i( eta( Y ) ) ), quotient( X, eta( Y ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43658, [ =( quotient( i( Y ), X ), difference( product( X, Y )
% 12.09/12.47 , eta( X ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, Y ), :=( Y, i( eta( X ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43662, [ =( quotient( i( i( eta( X ) ) ), Y ), j( quotient( Y, eta(
% 12.09/12.47 X ) ) ) ) ] )
% 12.09/12.47 , clause( 1365, [ =( difference( quotient( X, eta( Y ) ), eta( X ) ), j(
% 12.09/12.47 quotient( X, eta( Y ) ) ) ) ] )
% 12.09/12.47 , 0, clause( 43661, [ =( quotient( i( i( eta( X ) ) ), Y ), difference(
% 12.09/12.47 quotient( Y, eta( X ) ), eta( Y ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43663, [ =( quotient( eta( X ), Y ), j( quotient( Y, eta( X ) ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 208, [ =( i( i( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43662, [ =( quotient( i( i( eta( X ) ) ), Y ), j( quotient( Y
% 12.09/12.47 , eta( X ) ) ) ) ] )
% 12.09/12.47 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43664, [ =( j( quotient( Y, eta( X ) ) ), quotient( eta( X ), Y ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 43663, [ =( quotient( eta( X ), Y ), j( quotient( Y, eta( X ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1449, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 43664, [ =( j( quotient( Y, eta( X ) ) ), quotient( eta( X ), Y )
% 12.09/12.47 ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43666, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.47 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43669, [ =( eta( X ), product( product( X, Y ), quotient( i( Y ), X
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , clause( 731, [ =( difference( product( X, Y ), eta( X ) ), quotient( i( Y
% 12.09/12.47 ), X ) ) ] )
% 12.09/12.47 , 0, clause( 43666, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, product( X, Y ) ), :=( Y, eta( X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43670, [ =( product( product( X, Y ), quotient( i( Y ), X ) ), eta(
% 12.09/12.47 X ) ) ] )
% 12.09/12.47 , clause( 43669, [ =( eta( X ), product( product( X, Y ), quotient( i( Y )
% 12.09/12.47 , X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1457, [ =( product( product( X, Y ), quotient( i( Y ), X ) ), eta(
% 12.09/12.47 X ) ) ] )
% 12.09/12.47 , clause( 43670, [ =( product( product( X, Y ), quotient( i( Y ), X ) ),
% 12.09/12.47 eta( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43672, [ =( X, difference( i( eta( X ) ), j( j( X ) ) ) ) ] )
% 12.09/12.47 , clause( 642, [ =( difference( i( eta( X ) ), j( j( X ) ) ), X ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43677, [ =( quotient( X, eta( Y ) ), difference( i( eta( quotient(
% 12.09/12.47 X, eta( Y ) ) ) ), j( quotient( eta( Y ), X ) ) ) ) ] )
% 12.09/12.47 , clause( 1449, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, clause( 43672, [ =( X, difference( i( eta( X ) ), j( j( X ) ) ) ) ] )
% 12.09/12.47 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, quotient( X, eta( Y ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43678, [ =( quotient( X, eta( Y ) ), j( quotient( quotient( eta( Y
% 12.09/12.47 ), X ), eta( quotient( X, eta( Y ) ) ) ) ) ) ] )
% 12.09/12.47 , clause( 1259, [ =( difference( i( eta( Y ) ), j( X ) ), j( quotient( X,
% 12.09/12.47 eta( Y ) ) ) ) ] )
% 12.09/12.47 , 0, clause( 43677, [ =( quotient( X, eta( Y ) ), difference( i( eta(
% 12.09/12.47 quotient( X, eta( Y ) ) ) ), j( quotient( eta( Y ), X ) ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, quotient( eta( Y ), X ) ), :=( Y,
% 12.09/12.47 quotient( X, eta( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43679, [ =( quotient( X, eta( Y ) ), quotient( eta( quotient( X,
% 12.09/12.47 eta( Y ) ) ), quotient( eta( Y ), X ) ) ) ] )
% 12.09/12.47 , clause( 1449, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, clause( 43678, [ =( quotient( X, eta( Y ) ), j( quotient( quotient(
% 12.09/12.47 eta( Y ), X ), eta( quotient( X, eta( Y ) ) ) ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, quotient( eta( Y ), X ) ), :=( Y,
% 12.09/12.47 quotient( X, eta( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43680, [ =( quotient( X, eta( Y ) ), quotient( eta( X ), quotient(
% 12.09/12.47 eta( Y ), X ) ) ) ] )
% 12.09/12.47 , clause( 1311, [ =( eta( quotient( X, eta( Y ) ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43679, [ =( quotient( X, eta( Y ) ), quotient( eta( quotient(
% 12.09/12.47 X, eta( Y ) ) ), quotient( eta( Y ), X ) ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43681, [ =( quotient( X, eta( Y ) ), i( quotient( eta( Y ), X ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 1054, [ =( quotient( eta( Y ), quotient( eta( X ), Y ) ), i(
% 12.09/12.47 quotient( eta( X ), Y ) ) ) ] )
% 12.09/12.47 , 0, clause( 43680, [ =( quotient( X, eta( Y ) ), quotient( eta( X ),
% 12.09/12.47 quotient( eta( Y ), X ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43682, [ =( i( quotient( eta( Y ), X ) ), quotient( X, eta( Y ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 43681, [ =( quotient( X, eta( Y ) ), i( quotient( eta( Y ), X ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1507, [ =( i( quotient( eta( Y ), X ) ), quotient( X, eta( Y ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 43682, [ =( i( quotient( eta( Y ), X ) ), quotient( X, eta( Y ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43684, [ =( quotient( eta( Y ), X ), j( quotient( X, eta( Y ) ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 1449, [ =( j( quotient( X, eta( Y ) ) ), quotient( eta( Y ), X )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43685, [ =( quotient( eta( X ), product( Y, eta( X ) ) ), j( Y ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.47 , 0, clause( 43684, [ =( quotient( eta( Y ), X ), j( quotient( X, eta( Y )
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, eta( X ) )] ), substitution(
% 12.09/12.47 1, [ :=( X, product( Y, eta( X ) ) ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1520, [ =( quotient( eta( Y ), product( X, eta( Y ) ) ), j( X ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 43685, [ =( quotient( eta( X ), product( Y, eta( X ) ) ), j( Y )
% 12.09/12.47 ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43688, [ =( quotient( Y, eta( X ) ), i( quotient( eta( X ), Y ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 1507, [ =( i( quotient( eta( Y ), X ) ), quotient( X, eta( Y ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43690, [ =( quotient( product( X, Y ), eta( Y ) ), i( difference( Y
% 12.09/12.47 , j( X ) ) ) ) ] )
% 12.09/12.47 , clause( 940, [ =( quotient( eta( X ), product( Y, X ) ), difference( X, j(
% 12.09/12.47 Y ) ) ) ] )
% 12.09/12.47 , 0, clause( 43688, [ =( quotient( Y, eta( X ) ), i( quotient( eta( X ), Y
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, Y ), :=( Y, product( X, Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43691, [ =( product( X, i( i( Y ) ) ), i( difference( Y, j( X ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 142, [ =( quotient( product( Y, X ), eta( X ) ), product( Y, i( i(
% 12.09/12.47 X ) ) ) ) ] )
% 12.09/12.47 , 0, clause( 43690, [ =( quotient( product( X, Y ), eta( Y ) ), i(
% 12.09/12.47 difference( Y, j( X ) ) ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1523, [ =( product( Y, i( i( X ) ) ), i( difference( X, j( Y ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 43691, [ =( product( X, i( i( Y ) ) ), i( difference( Y, j( X ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43693, [ =( product( eta( Y ), Z ), difference( X, product( product(
% 12.09/12.47 X, eta( Y ) ), Z ) ) ) ] )
% 12.09/12.47 , clause( 130, [ =( difference( Z, product( product( Z, eta( X ) ), Y ) ),
% 12.09/12.47 product( eta( X ), Y ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43695, [ =( product( eta( X ), quotient( Y, Z ) ), quotient(
% 12.09/12.47 product( eta( X ), Y ), Z ) ) ] )
% 12.09/12.47 , clause( 52, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y
% 12.09/12.47 ) ) ), quotient( product( Z, X ), Y ) ) ] )
% 12.09/12.47 , 0, clause( 43693, [ =( product( eta( Y ), Z ), difference( X, product(
% 12.09/12.47 product( X, eta( Y ) ), Z ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, eta( X ) )] ),
% 12.09/12.47 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, quotient( Y, Z ) )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43696, [ =( quotient( product( eta( X ), Y ), Z ), product( eta( X
% 12.09/12.47 ), quotient( Y, Z ) ) ) ] )
% 12.09/12.47 , clause( 43695, [ =( product( eta( X ), quotient( Y, Z ) ), quotient(
% 12.09/12.47 product( eta( X ), Y ), Z ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1688, [ =( quotient( product( eta( Y ), Z ), X ), product( eta( Y )
% 12.09/12.47 , quotient( Z, X ) ) ) ] )
% 12.09/12.47 , clause( 43696, [ =( quotient( product( eta( X ), Y ), Z ), product( eta(
% 12.09/12.47 X ), quotient( Y, Z ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43698, [ =( c( Y, X ), difference( product( X, Y ), product( Y, X )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , clause( 345, [ =( difference( product( X, Y ), product( Y, X ) ), c( Y, X
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43701, [ =( c( i( product( X, X ) ), X ), difference( i( X ),
% 12.09/12.47 product( i( product( X, X ) ), X ) ) ) ] )
% 12.09/12.47 , clause( 588, [ =( product( X, i( product( X, X ) ) ), i( X ) ) ] )
% 12.09/12.47 , 0, clause( 43698, [ =( c( Y, X ), difference( product( X, Y ), product( Y
% 12.09/12.47 , X ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, i( product( X, X ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43704, [ =( c( i( product( X, X ) ), X ), difference( i( X ), j( X
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , clause( 494, [ =( product( i( product( X, X ) ), X ), j( X ) ) ] )
% 12.09/12.47 , 0, clause( 43701, [ =( c( i( product( X, X ) ), X ), difference( i( X ),
% 12.09/12.47 product( i( product( X, X ) ), X ) ) ) ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43705, [ =( c( i( product( X, X ) ), X ), eta( X ) ) ] )
% 12.09/12.47 , clause( 105, [ =( difference( i( X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43704, [ =( c( i( product( X, X ) ), X ), difference( i( X ),
% 12.09/12.47 j( X ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1790, [ =( c( i( product( X, X ) ), X ), eta( X ) ) ] )
% 12.09/12.47 , clause( 43705, [ =( c( i( product( X, X ) ), X ), eta( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43708, [ =( c( Y, X ), difference( product( X, Y ), product( Y, X )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , clause( 345, [ =( difference( product( X, Y ), product( Y, X ) ), c( Y, X
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43711, [ =( c( X, difference( X, j( X ) ) ), difference( i( X ),
% 12.09/12.47 product( X, difference( X, j( X ) ) ) ) ) ] )
% 12.09/12.47 , clause( 590, [ =( product( difference( X, j( X ) ), X ), i( X ) ) ] )
% 12.09/12.47 , 0, clause( 43708, [ =( c( Y, X ), difference( product( X, Y ), product( Y
% 12.09/12.47 , X ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 12.09/12.47 difference( X, j( X ) ) ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43714, [ =( c( X, difference( X, j( X ) ) ), difference( i( X ), j(
% 12.09/12.47 X ) ) ) ] )
% 12.09/12.47 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.47 , 0, clause( 43711, [ =( c( X, difference( X, j( X ) ) ), difference( i( X
% 12.09/12.47 ), product( X, difference( X, j( X ) ) ) ) ) ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, j( X ) )] ), substitution( 1
% 12.09/12.47 , [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43715, [ =( c( X, difference( X, j( X ) ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 105, [ =( difference( i( X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43714, [ =( c( X, difference( X, j( X ) ) ), difference( i( X
% 12.09/12.47 ), j( X ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1792, [ =( c( X, difference( X, j( X ) ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 43715, [ =( c( X, difference( X, j( X ) ) ), eta( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43718, [ =( c( Y, X ), difference( product( X, Y ), product( Y, X )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , clause( 345, [ =( difference( product( X, Y ), product( Y, X ) ), c( Y, X
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43722, [ =( c( difference( X, j( X ) ), X ), difference( product( X
% 12.09/12.47 , difference( X, j( X ) ) ), i( X ) ) ) ] )
% 12.09/12.47 , clause( 590, [ =( product( difference( X, j( X ) ), X ), i( X ) ) ] )
% 12.09/12.47 , 0, clause( 43718, [ =( c( Y, X ), difference( product( X, Y ), product( Y
% 12.09/12.47 , X ) ) ) ] )
% 12.09/12.47 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, difference( X, j( X ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43723, [ =( c( difference( X, j( X ) ), X ), difference( j( X ), i(
% 12.09/12.47 X ) ) ) ] )
% 12.09/12.47 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.47 , 0, clause( 43722, [ =( c( difference( X, j( X ) ), X ), difference(
% 12.09/12.47 product( X, difference( X, j( X ) ) ), i( X ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, j( X ) )] ), substitution( 1
% 12.09/12.47 , [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43724, [ =( c( difference( X, j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.47 , clause( 189, [ =( difference( j( X ), i( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.47 , 0, clause( 43723, [ =( c( difference( X, j( X ) ), X ), difference( j( X
% 12.09/12.47 ), i( X ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1793, [ =( c( difference( X, j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.47 , clause( 43724, [ =( c( difference( X, j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43727, [ =( eta( X ), c( i( product( X, X ) ), X ) ) ] )
% 12.09/12.47 , clause( 1790, [ =( c( i( product( X, X ) ), X ), eta( X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43730, [ =( eta( j( X ) ), c( i( difference( X, j( X ) ) ), j( X )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , clause( 850, [ =( product( j( X ), j( X ) ), difference( X, j( X ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, clause( 43727, [ =( eta( X ), c( i( product( X, X ) ), X ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.47 )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43731, [ =( eta( j( X ) ), c( difference( j( X ), X ), j( X ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 846, [ =( i( difference( X, j( X ) ) ), difference( j( X ), X ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43730, [ =( eta( j( X ) ), c( i( difference( X, j( X ) ) ), j(
% 12.09/12.47 X ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43732, [ =( eta( X ), c( difference( j( X ), X ), j( X ) ) ) ] )
% 12.09/12.47 , clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43731, [ =( eta( j( X ) ), c( difference( j( X ), X ), j( X )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43733, [ =( c( difference( j( X ), X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 43732, [ =( eta( X ), c( difference( j( X ), X ), j( X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1805, [ =( c( difference( j( X ), X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 43733, [ =( c( difference( j( X ), X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43735, [ =( i( difference( Y, j( X ) ) ), product( X, i( i( Y ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 1523, [ =( product( Y, i( i( X ) ) ), i( difference( X, j( Y ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43736, [ =( i( difference( j( X ), j( Y ) ) ), product( Y, i( X ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.47 , 0, clause( 43735, [ =( i( difference( Y, j( X ) ) ), product( X, i( i( Y
% 12.09/12.47 ) ) ) ) ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 12.09/12.47 :=( Y, j( X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 1950, [ =( i( difference( j( X ), j( Y ) ) ), product( Y, i( X ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 43736, [ =( i( difference( j( X ), j( Y ) ) ), product( Y, i( X )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43739, [ =( X, j( i( X ) ) ) ] )
% 12.09/12.47 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43744, [ =( difference( j( X ), j( Y ) ), j( product( Y, i( X ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 1950, [ =( i( difference( j( X ), j( Y ) ) ), product( Y, i( X )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, clause( 43739, [ =( X, j( i( X ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, difference( j( X ), j( Y ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2247, [ =( difference( j( X ), j( Y ) ), j( product( Y, i( X ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 43744, [ =( difference( j( X ), j( Y ) ), j( product( Y, i( X ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43747, [ =( eta( X ), c( X, difference( X, j( X ) ) ) ) ] )
% 12.09/12.47 , clause( 1792, [ =( c( X, difference( X, j( X ) ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43751, [ =( eta( j( X ) ), c( j( X ), j( product( j( X ), i( X ) )
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , clause( 2247, [ =( difference( j( X ), j( Y ) ), j( product( Y, i( X ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, clause( 43747, [ =( eta( X ), c( X, difference( X, j( X ) ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, j( X ) )] ), substitution( 1
% 12.09/12.47 , [ :=( X, j( X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43752, [ =( eta( j( X ) ), c( j( X ), j( i( product( X, X ) ) ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 1027, [ =( product( j( X ), i( X ) ), i( product( X, X ) ) ) ] )
% 12.09/12.47 , 0, clause( 43751, [ =( eta( j( X ) ), c( j( X ), j( product( j( X ), i( X
% 12.09/12.47 ) ) ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43753, [ =( eta( j( X ) ), c( j( X ), product( X, X ) ) ) ] )
% 12.09/12.47 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.47 , 0, clause( 43752, [ =( eta( j( X ) ), c( j( X ), j( i( product( X, X ) )
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, product( X, X ) )] ), substitution( 1, [
% 12.09/12.47 :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43754, [ =( eta( X ), c( j( X ), product( X, X ) ) ) ] )
% 12.09/12.47 , clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43753, [ =( eta( j( X ) ), c( j( X ), product( X, X ) ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43755, [ =( c( j( X ), product( X, X ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 43754, [ =( eta( X ), c( j( X ), product( X, X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2478, [ =( c( j( X ), product( X, X ) ), eta( X ) ) ] )
% 12.09/12.47 , clause( 43755, [ =( c( j( X ), product( X, X ) ), eta( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43757, [ =( product( Y, X ), product( product( X, Y ), c( Y, X ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 23, [ =( product( product( X, Y ), c( Y, X ) ), product( Y, X ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43762, [ =( product( j( X ), product( X, X ) ), product( product(
% 12.09/12.47 product( X, X ), j( X ) ), eta( X ) ) ) ] )
% 12.09/12.47 , clause( 2478, [ =( c( j( X ), product( X, X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43757, [ =( product( Y, X ), product( product( X, Y ), c( Y, X
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 12.09/12.47 product( X, X ) ), :=( Y, j( X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43763, [ =( product( j( X ), product( X, X ) ), product( product( X
% 12.09/12.47 , quotient( X, X ) ), eta( X ) ) ) ] )
% 12.09/12.47 , clause( 582, [ =( product( product( X, Y ), j( X ) ), product( X,
% 12.09/12.47 quotient( Y, X ) ) ) ] )
% 12.09/12.47 , 0, clause( 43762, [ =( product( j( X ), product( X, X ) ), product(
% 12.09/12.47 product( product( X, X ), j( X ) ), eta( X ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43764, [ =( product( j( X ), product( X, X ) ), product( product( X
% 12.09/12.47 , one ), eta( X ) ) ) ] )
% 12.09/12.47 , clause( 44, [ =( quotient( X, X ), one ) ] )
% 12.09/12.47 , 0, clause( 43763, [ =( product( j( X ), product( X, X ) ), product(
% 12.09/12.47 product( X, quotient( X, X ) ), eta( X ) ) ) ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43765, [ =( product( j( X ), product( X, X ) ), product( X, eta( X
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , clause( 0, [ =( product( X, one ), X ) ] )
% 12.09/12.47 , 0, clause( 43764, [ =( product( j( X ), product( X, X ) ), product(
% 12.09/12.47 product( X, one ), eta( X ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43766, [ =( product( j( X ), product( X, X ) ), j( j( X ) ) ) ] )
% 12.09/12.47 , clause( 94, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 12.09/12.47 , 0, clause( 43765, [ =( product( j( X ), product( X, X ) ), product( X,
% 12.09/12.47 eta( X ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2485, [ =( product( j( X ), product( X, X ) ), j( j( X ) ) ) ] )
% 12.09/12.47 , clause( 43766, [ =( product( j( X ), product( X, X ) ), j( j( X ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43768, [ =( j( j( X ) ), product( j( X ), product( X, X ) ) ) ] )
% 12.09/12.47 , clause( 2485, [ =( product( j( X ), product( X, X ) ), j( j( X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43772, [ =( j( j( a( X, Y, Z ) ) ), product( product( j( a( X, Y, Z
% 12.09/12.47 ) ), a( X, Y, Z ) ), a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , clause( 27, [ =( product( X, product( Y, a( Z, T, U ) ) ), product(
% 12.09/12.47 product( X, Y ), a( Z, T, U ) ) ) ] )
% 12.09/12.47 , 0, clause( 43768, [ =( j( j( X ) ), product( j( X ), product( X, X ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, j( a( X, Y, Z ) ) ), :=( Y, a( X, Y, Z )
% 12.09/12.47 ), :=( Z, X ), :=( T, Y ), :=( U, Z )] ), substitution( 1, [ :=( X, a( X
% 12.09/12.47 , Y, Z ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43775, [ =( j( j( a( X, Y, Z ) ) ), product( one, a( X, Y, Z ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.47 , 0, clause( 43772, [ =( j( j( a( X, Y, Z ) ) ), product( product( j( a( X
% 12.09/12.47 , Y, Z ) ), a( X, Y, Z ) ), a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, a( X, Y, Z ) )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43776, [ =( j( j( a( X, Y, Z ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.47 , 0, clause( 43775, [ =( j( j( a( X, Y, Z ) ) ), product( one, a( X, Y, Z )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, a( X, Y, Z ) )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2491, [ =( j( j( a( X, Y, Z ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , clause( 43776, [ =( j( j( a( X, Y, Z ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43779, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.47 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43780, [ =( j( X ), quotient( j( j( X ) ), product( X, X ) ) ) ] )
% 12.09/12.47 , clause( 2485, [ =( product( j( X ), product( X, X ) ), j( j( X ) ) ) ] )
% 12.09/12.47 , 0, clause( 43779, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.47 ), :=( Y, product( X, X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43781, [ =( quotient( j( j( X ) ), product( X, X ) ), j( X ) ) ] )
% 12.09/12.47 , clause( 43780, [ =( j( X ), quotient( j( j( X ) ), product( X, X ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2497, [ =( quotient( j( j( X ) ), product( X, X ) ), j( X ) ) ] )
% 12.09/12.47 , clause( 43781, [ =( quotient( j( j( X ) ), product( X, X ) ), j( X ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43783, [ =( j( X ), quotient( j( j( X ) ), product( X, X ) ) ) ] )
% 12.09/12.47 , clause( 2497, [ =( quotient( j( j( X ) ), product( X, X ) ), j( X ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43787, [ =( j( a( X, Y, Z ) ), quotient( a( X, Y, Z ), product( a(
% 12.09/12.47 X, Y, Z ), a( X, Y, Z ) ) ) ) ] )
% 12.09/12.47 , clause( 2491, [ =( j( j( a( X, Y, Z ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , 0, clause( 43783, [ =( j( X ), quotient( j( j( X ) ), product( X, X ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 substitution( 1, [ :=( X, a( X, Y, Z ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43789, [ =( j( a( X, Y, Z ) ), i( a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , clause( 849, [ =( quotient( X, product( X, X ) ), i( X ) ) ] )
% 12.09/12.47 , 0, clause( 43787, [ =( j( a( X, Y, Z ) ), quotient( a( X, Y, Z ), product(
% 12.09/12.47 a( X, Y, Z ), a( X, Y, Z ) ) ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, a( X, Y, Z ) )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2566, [ =( j( a( X, Y, Z ) ), i( a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , clause( 43789, [ =( j( a( X, Y, Z ) ), i( a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43792, [ =( i( eta( X ) ), c( difference( X, j( X ) ), X ) ) ] )
% 12.09/12.47 , clause( 1793, [ =( c( difference( X, j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43795, [ =( i( eta( j( a( X, Y, Z ) ) ) ), c( difference( j( a( X,
% 12.09/12.47 Y, Z ) ), a( X, Y, Z ) ), j( a( X, Y, Z ) ) ) ) ] )
% 12.09/12.47 , clause( 2491, [ =( j( j( a( X, Y, Z ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , 0, clause( 43792, [ =( i( eta( X ) ), c( difference( X, j( X ) ), X ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 substitution( 1, [ :=( X, j( a( X, Y, Z ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43796, [ =( i( eta( j( a( X, Y, Z ) ) ) ), eta( a( X, Y, Z ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 1805, [ =( c( difference( j( X ), X ), j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43795, [ =( i( eta( j( a( X, Y, Z ) ) ) ), c( difference( j( a(
% 12.09/12.47 X, Y, Z ) ), a( X, Y, Z ) ), j( a( X, Y, Z ) ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, a( X, Y, Z ) )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43797, [ =( i( eta( a( X, Y, Z ) ) ), eta( a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , clause( 56, [ =( eta( j( X ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43796, [ =( i( eta( j( a( X, Y, Z ) ) ) ), eta( a( X, Y, Z ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, 2, substitution( 0, [ :=( X, a( X, Y, Z ) )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2568, [ =( i( eta( a( X, Y, Z ) ) ), eta( a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , clause( 43797, [ =( i( eta( a( X, Y, Z ) ) ), eta( a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43800, [ =( i( eta( X ) ), quotient( j( j( X ) ), X ) ) ] )
% 12.09/12.47 , clause( 963, [ =( quotient( j( j( X ) ), X ), i( eta( X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43803, [ =( i( eta( a( X, Y, Z ) ) ), quotient( a( X, Y, Z ), a( X
% 12.09/12.47 , Y, Z ) ) ) ] )
% 12.09/12.47 , clause( 2491, [ =( j( j( a( X, Y, Z ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , 0, clause( 43800, [ =( i( eta( X ) ), quotient( j( j( X ) ), X ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 substitution( 1, [ :=( X, a( X, Y, Z ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43806, [ =( i( eta( a( X, Y, Z ) ) ), one ) ] )
% 12.09/12.47 , clause( 44, [ =( quotient( X, X ), one ) ] )
% 12.09/12.47 , 0, clause( 43803, [ =( i( eta( a( X, Y, Z ) ) ), quotient( a( X, Y, Z ),
% 12.09/12.47 a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, a( X, Y, Z ) )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43807, [ =( eta( a( X, Y, Z ) ), one ) ] )
% 12.09/12.47 , clause( 2568, [ =( i( eta( a( X, Y, Z ) ) ), eta( a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , 0, clause( 43806, [ =( i( eta( a( X, Y, Z ) ) ), one ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2572, [ =( eta( a( X, Y, Z ) ), one ) ] )
% 12.09/12.47 , clause( 43807, [ =( eta( a( X, Y, Z ) ), one ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43810, [ =( eta( X ), product( product( X, Y ), quotient( i( Y ), X
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , clause( 1457, [ =( product( product( X, Y ), quotient( i( Y ), X ) ), eta(
% 12.09/12.47 X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43811, [ =( eta( X ), product( product( X, j( Y ) ), quotient( Y, X
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , clause( 41, [ =( i( j( X ) ), X ) ] )
% 12.09/12.47 , 0, clause( 43810, [ =( eta( X ), product( product( X, Y ), quotient( i( Y
% 12.09/12.47 ), X ) ) ) ] )
% 12.09/12.47 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, j( Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43812, [ =( product( product( X, j( Y ) ), quotient( Y, X ) ), eta(
% 12.09/12.47 X ) ) ] )
% 12.09/12.47 , clause( 43811, [ =( eta( X ), product( product( X, j( Y ) ), quotient( Y
% 12.09/12.47 , X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2826, [ =( product( product( Y, j( X ) ), quotient( X, Y ) ), eta(
% 12.09/12.47 Y ) ) ] )
% 12.09/12.47 , clause( 43812, [ =( product( product( X, j( Y ) ), quotient( Y, X ) ),
% 12.09/12.47 eta( X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43814, [ =( X, quotient( product( product( X, Y ), eta( X ) ),
% 12.09/12.47 product( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , clause( 117, [ =( quotient( product( product( X, Y ), eta( X ) ), product(
% 12.09/12.47 Y, eta( X ) ) ), X ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43819, [ =( product( X, j( Y ) ), quotient( product( eta( X ), eta(
% 12.09/12.47 product( X, j( Y ) ) ) ), product( quotient( Y, X ), eta( product( X, j(
% 12.09/12.47 Y ) ) ) ) ) ) ] )
% 12.09/12.47 , clause( 2826, [ =( product( product( Y, j( X ) ), quotient( X, Y ) ), eta(
% 12.09/12.47 Y ) ) ] )
% 12.09/12.47 , 0, clause( 43814, [ =( X, quotient( product( product( X, Y ), eta( X ) )
% 12.09/12.47 , product( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, product( X, j( Y ) ) ), :=( Y, quotient( Y, X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43820, [ =( product( X, j( Y ) ), product( eta( X ), quotient( eta(
% 12.09/12.47 product( X, j( Y ) ) ), product( quotient( Y, X ), eta( product( X, j( Y
% 12.09/12.47 ) ) ) ) ) ) ) ] )
% 12.09/12.47 , clause( 1688, [ =( quotient( product( eta( Y ), Z ), X ), product( eta( Y
% 12.09/12.47 ), quotient( Z, X ) ) ) ] )
% 12.09/12.47 , 0, clause( 43819, [ =( product( X, j( Y ) ), quotient( product( eta( X )
% 12.09/12.47 , eta( product( X, j( Y ) ) ) ), product( quotient( Y, X ), eta( product(
% 12.09/12.47 X, j( Y ) ) ) ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, product( quotient( Y, X ), eta( product(
% 12.09/12.47 X, j( Y ) ) ) ) ), :=( Y, X ), :=( Z, eta( product( X, j( Y ) ) ) )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43821, [ =( product( X, j( Y ) ), product( eta( X ), j( quotient( Y
% 12.09/12.47 , X ) ) ) ) ] )
% 12.09/12.47 , clause( 1520, [ =( quotient( eta( Y ), product( X, eta( Y ) ) ), j( X ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43820, [ =( product( X, j( Y ) ), product( eta( X ), quotient(
% 12.09/12.47 eta( product( X, j( Y ) ) ), product( quotient( Y, X ), eta( product( X,
% 12.09/12.47 j( Y ) ) ) ) ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, quotient( Y, X ) ), :=( Y, product( X, j(
% 12.09/12.47 Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43822, [ =( product( X, j( Y ) ), quotient( eta( X ), quotient( Y,
% 12.09/12.47 X ) ) ) ] )
% 12.09/12.47 , clause( 752, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43821, [ =( product( X, j( Y ) ), product( eta( X ), j(
% 12.09/12.47 quotient( Y, X ) ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, quotient( Y, X ) )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43823, [ =( quotient( eta( X ), quotient( Y, X ) ), product( X, j(
% 12.09/12.47 Y ) ) ) ] )
% 12.09/12.47 , clause( 43822, [ =( product( X, j( Y ) ), quotient( eta( X ), quotient( Y
% 12.09/12.47 , X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2832, [ =( quotient( eta( X ), quotient( Y, X ) ), product( X, j( Y
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , clause( 43823, [ =( quotient( eta( X ), quotient( Y, X ) ), product( X, j(
% 12.09/12.47 Y ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43825, [ =( product( X, j( Y ) ), quotient( eta( X ), quotient( Y,
% 12.09/12.47 X ) ) ) ] )
% 12.09/12.47 , clause( 2832, [ =( quotient( eta( X ), quotient( Y, X ) ), product( X, j(
% 12.09/12.47 Y ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43826, [ =( product( X, j( product( Y, X ) ) ), quotient( eta( X )
% 12.09/12.47 , Y ) ) ] )
% 12.09/12.47 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.47 , 0, clause( 43825, [ =( product( X, j( Y ) ), quotient( eta( X ), quotient(
% 12.09/12.47 Y, X ) ) ) ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, product( Y, X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 2986, [ =( product( Y, j( product( X, Y ) ) ), quotient( eta( Y ),
% 12.09/12.47 X ) ) ] )
% 12.09/12.47 , clause( 43826, [ =( product( X, j( product( Y, X ) ) ), quotient( eta( X
% 12.09/12.47 ), Y ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43829, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.47 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43830, [ =( X, quotient( quotient( eta( X ), Y ), j( product( Y, X
% 12.09/12.47 ) ) ) ) ] )
% 12.09/12.47 , clause( 2986, [ =( product( Y, j( product( X, Y ) ) ), quotient( eta( Y )
% 12.09/12.47 , X ) ) ] )
% 12.09/12.47 , 0, clause( 43829, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 12.09/12.47 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, j( product( Y, X ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43831, [ =( quotient( quotient( eta( X ), Y ), j( product( Y, X ) )
% 12.09/12.47 ), X ) ] )
% 12.09/12.47 , clause( 43830, [ =( X, quotient( quotient( eta( X ), Y ), j( product( Y,
% 12.09/12.47 X ) ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 3003, [ =( quotient( quotient( eta( X ), Y ), j( product( Y, X ) )
% 12.09/12.47 ), X ) ] )
% 12.09/12.47 , clause( 43831, [ =( quotient( quotient( eta( X ), Y ), j( product( Y, X )
% 12.09/12.47 ) ), X ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43833, [ =( j( j( Y ) ), quotient( j( X ), j( product( X, Y ) ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 258, [ =( quotient( j( Y ), j( product( Y, X ) ) ), j( j( X ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43834, [ =( j( j( difference( X, Y ) ) ), quotient( j( X ), j( Y )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.47 , 0, clause( 43833, [ =( j( j( Y ) ), quotient( j( X ), j( product( X, Y )
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43835, [ =( quotient( j( X ), j( Y ) ), j( j( difference( X, Y ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , clause( 43834, [ =( j( j( difference( X, Y ) ) ), quotient( j( X ), j( Y
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 3948, [ =( quotient( j( X ), j( Y ) ), j( j( difference( X, Y ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 43835, [ =( quotient( j( X ), j( Y ) ), j( j( difference( X, Y )
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43837, [ =( X, quotient( quotient( eta( X ), Y ), j( product( Y, X
% 12.09/12.47 ) ) ) ) ] )
% 12.09/12.47 , clause( 3003, [ =( quotient( quotient( eta( X ), Y ), j( product( Y, X )
% 12.09/12.47 ) ), X ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43844, [ =( a( X, Y, Z ), quotient( quotient( eta( a( X, Y, Z ) ),
% 12.09/12.47 product( product( eta( T ), X ), product( Y, Z ) ) ), j( product( product(
% 12.09/12.47 product( eta( T ), X ), Y ), Z ) ) ) ) ] )
% 12.09/12.47 , clause( 290, [ =( product( product( product( eta( T ), X ), product( Y, Z
% 12.09/12.47 ) ), a( X, Y, Z ) ), product( product( product( eta( T ), X ), Y ), Z )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, clause( 43837, [ =( X, quotient( quotient( eta( X ), Y ), j( product(
% 12.09/12.47 Y, X ) ) ) ) ] )
% 12.09/12.47 , 0, 21, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.47 , substitution( 1, [ :=( X, a( X, Y, Z ) ), :=( Y, product( product( eta(
% 12.09/12.47 T ), X ), product( Y, Z ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43845, [ =( a( X, Y, Z ), quotient( quotient( one, product( product(
% 12.09/12.47 eta( T ), X ), product( Y, Z ) ) ), j( product( product( product( eta( T
% 12.09/12.47 ), X ), Y ), Z ) ) ) ) ] )
% 12.09/12.47 , clause( 2572, [ =( eta( a( X, Y, Z ) ), one ) ] )
% 12.09/12.47 , 0, clause( 43844, [ =( a( X, Y, Z ), quotient( quotient( eta( a( X, Y, Z
% 12.09/12.47 ) ), product( product( eta( T ), X ), product( Y, Z ) ) ), j( product(
% 12.09/12.47 product( product( eta( T ), X ), Y ), Z ) ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43846, [ =( a( X, Y, Z ), quotient( j( product( product( eta( T ),
% 12.09/12.47 X ), product( Y, Z ) ) ), j( product( product( product( eta( T ), X ), Y
% 12.09/12.47 ), Z ) ) ) ) ] )
% 12.09/12.47 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.47 , 0, clause( 43845, [ =( a( X, Y, Z ), quotient( quotient( one, product(
% 12.09/12.47 product( eta( T ), X ), product( Y, Z ) ) ), j( product( product( product(
% 12.09/12.47 eta( T ), X ), Y ), Z ) ) ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, product( product( eta( T ), X ), product(
% 12.09/12.47 Y, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 12.09/12.47 :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43847, [ =( a( X, Y, Z ), j( j( difference( product( product( eta(
% 12.09/12.47 T ), X ), product( Y, Z ) ), product( product( product( eta( T ), X ), Y
% 12.09/12.47 ), Z ) ) ) ) ) ] )
% 12.09/12.47 , clause( 3948, [ =( quotient( j( X ), j( Y ) ), j( j( difference( X, Y ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, clause( 43846, [ =( a( X, Y, Z ), quotient( j( product( product( eta(
% 12.09/12.47 T ), X ), product( Y, Z ) ) ), j( product( product( product( eta( T ), X
% 12.09/12.47 ), Y ), Z ) ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, product( product( eta( T ), X ), product(
% 12.09/12.47 Y, Z ) ) ), :=( Y, product( product( product( eta( T ), X ), Y ), Z ) )] )
% 12.09/12.47 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43848, [ =( a( X, Y, Z ), j( j( a( product( eta( T ), X ), Y, Z ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , clause( 303, [ =( difference( product( X, product( Y, Z ) ), product(
% 12.09/12.47 product( X, Y ), Z ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , 0, clause( 43847, [ =( a( X, Y, Z ), j( j( difference( product( product(
% 12.09/12.47 eta( T ), X ), product( Y, Z ) ), product( product( product( eta( T ), X
% 12.09/12.47 ), Y ), Z ) ) ) ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, product( eta( T ), X ) ), :=( Y, Y ),
% 12.09/12.47 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 12.09/12.47 :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43849, [ =( a( X, Y, Z ), j( i( a( product( eta( T ), X ), Y, Z ) )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , clause( 2566, [ =( j( a( X, Y, Z ) ), i( a( X, Y, Z ) ) ) ] )
% 12.09/12.47 , 0, clause( 43848, [ =( a( X, Y, Z ), j( j( a( product( eta( T ), X ), Y,
% 12.09/12.47 Z ) ) ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, product( eta( T ), X ) ), :=( Y, Y ),
% 12.09/12.47 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 12.09/12.47 :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43850, [ =( a( X, Y, Z ), a( product( eta( T ), X ), Y, Z ) ) ] )
% 12.09/12.47 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.47 , 0, clause( 43849, [ =( a( X, Y, Z ), j( i( a( product( eta( T ), X ), Y,
% 12.09/12.47 Z ) ) ) ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, a( product( eta( T ), X ), Y, Z ) )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43851, [ =( a( product( eta( T ), X ), Y, Z ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , clause( 43850, [ =( a( X, Y, Z ), a( product( eta( T ), X ), Y, Z ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 4744, [ =( a( product( eta( X ), Y ), Z, T ), a( Y, Z, T ) ) ] )
% 12.09/12.47 , clause( 43851, [ =( a( product( eta( T ), X ), Y, Z ), a( X, Y, Z ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43853, [ =( a( X, Y, Z ), difference( product( X, product( Y, Z ) )
% 12.09/12.47 , product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.47 , clause( 303, [ =( difference( product( X, product( Y, Z ) ), product(
% 12.09/12.47 product( X, Y ), Z ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43858, [ =( a( j( X ), X, Y ), difference( product( j( X ), product(
% 12.09/12.47 X, Y ) ), product( one, Y ) ) ) ] )
% 12.09/12.47 , clause( 33, [ =( product( j( X ), X ), one ) ] )
% 12.09/12.47 , 0, clause( 43853, [ =( a( X, Y, Z ), difference( product( X, product( Y,
% 12.09/12.47 Z ) ), product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.47 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 12.09/12.47 ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43859, [ =( a( j( X ), X, Y ), difference( product( j( X ), product(
% 12.09/12.47 X, Y ) ), Y ) ) ] )
% 12.09/12.47 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.47 , 0, clause( 43858, [ =( a( j( X ), X, Y ), difference( product( j( X ),
% 12.09/12.47 product( X, Y ) ), product( one, Y ) ) ) ] )
% 12.09/12.47 , 0, 13, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43860, [ =( a( X, Y, X ), difference( product( j( X ), product( X,
% 12.09/12.47 Y ) ), Y ) ) ] )
% 12.09/12.47 , clause( 514, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.47 , 0, clause( 43859, [ =( a( j( X ), X, Y ), difference( product( j( X ),
% 12.09/12.47 product( X, Y ) ), Y ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43861, [ =( difference( product( j( X ), product( X, Y ) ), Y ), a(
% 12.09/12.47 X, Y, X ) ) ] )
% 12.09/12.47 , clause( 43860, [ =( a( X, Y, X ), difference( product( j( X ), product( X
% 12.09/12.47 , Y ) ), Y ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 5116, [ =( difference( product( j( X ), product( X, Y ) ), Y ), a(
% 12.09/12.47 X, Y, X ) ) ] )
% 12.09/12.47 , clause( 43861, [ =( difference( product( j( X ), product( X, Y ) ), Y ),
% 12.09/12.47 a( X, Y, X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43863, [ =( a( X, Y, Z ), difference( product( X, product( Y, Z ) )
% 12.09/12.47 , product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.47 , clause( 303, [ =( difference( product( X, product( Y, Z ) ), product(
% 12.09/12.47 product( X, Y ), Z ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43867, [ =( a( X, i( X ), Y ), difference( product( X, product( i(
% 12.09/12.47 X ), Y ) ), product( one, Y ) ) ) ] )
% 12.09/12.47 , clause( 35, [ =( product( X, i( X ) ), one ) ] )
% 12.09/12.47 , 0, clause( 43863, [ =( a( X, Y, Z ), difference( product( X, product( Y,
% 12.09/12.47 Z ) ), product( product( X, Y ), Z ) ) ) ] )
% 12.09/12.47 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, i( X ) ), :=( Z, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43868, [ =( a( X, i( X ), Y ), difference( product( X, product( i(
% 12.09/12.47 X ), Y ) ), Y ) ) ] )
% 12.09/12.47 , clause( 1, [ =( product( one, X ), X ) ] )
% 12.09/12.47 , 0, clause( 43867, [ =( a( X, i( X ), Y ), difference( product( X, product(
% 12.09/12.47 i( X ), Y ) ), product( one, Y ) ) ) ] )
% 12.09/12.47 , 0, 13, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43869, [ =( difference( product( X, product( i( X ), Y ) ), Y ), a(
% 12.09/12.47 X, i( X ), Y ) ) ] )
% 12.09/12.47 , clause( 43868, [ =( a( X, i( X ), Y ), difference( product( X, product( i(
% 12.09/12.47 X ), Y ) ), Y ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 5118, [ =( difference( product( X, product( i( X ), Y ) ), Y ), a(
% 12.09/12.47 X, i( X ), Y ) ) ] )
% 12.09/12.47 , clause( 43869, [ =( difference( product( X, product( i( X ), Y ) ), Y ),
% 12.09/12.47 a( X, i( X ), Y ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43871, [ =( quotient( Y, X ), t( X, difference( X, Y ) ) ) ] )
% 12.09/12.47 , clause( 78, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43873, [ =( quotient( product( a( X, Y, Z ), X ), X ), t( X, i( a(
% 12.09/12.47 Y, Z, X ) ) ) ) ] )
% 12.09/12.47 , clause( 490, [ =( difference( Z, product( a( Z, X, Y ), Z ) ), i( a( X, Y
% 12.09/12.47 , Z ) ) ) ] )
% 12.09/12.47 , 0, clause( 43871, [ =( quotient( Y, X ), t( X, difference( X, Y ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, product( a( X, Y, Z ), X ) )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43874, [ =( a( X, Y, Z ), t( X, i( a( Y, Z, X ) ) ) ) ] )
% 12.09/12.47 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 12.09/12.47 , 0, clause( 43873, [ =( quotient( product( a( X, Y, Z ), X ), X ), t( X, i(
% 12.09/12.47 a( Y, Z, X ) ) ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, a( X, Y, Z ) ), :=( Y, X )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43875, [ =( t( X, i( a( Y, Z, X ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , clause( 43874, [ =( a( X, Y, Z ), t( X, i( a( Y, Z, X ) ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 11401, [ =( t( X, i( a( Y, Z, X ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , clause( 43875, [ =( t( X, i( a( Y, Z, X ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43877, [ =( product( difference( X, Y ), X ), product( i( X ),
% 12.09/12.47 product( Y, X ) ) ) ] )
% 12.09/12.47 , clause( 637, [ =( product( i( X ), product( Y, X ) ), product( difference(
% 12.09/12.47 X, Y ), X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43878, [ =( product( difference( X, quotient( Y, X ) ), X ),
% 12.09/12.47 product( i( X ), Y ) ) ] )
% 12.09/12.47 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 12.09/12.47 , 0, clause( 43877, [ =( product( difference( X, Y ), X ), product( i( X )
% 12.09/12.47 , product( Y, X ) ) ) ] )
% 12.09/12.47 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, quotient( Y, X ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 14959, [ =( product( difference( Y, quotient( X, Y ) ), Y ),
% 12.09/12.47 product( i( Y ), X ) ) ] )
% 12.09/12.47 , clause( 43878, [ =( product( difference( X, quotient( Y, X ) ), X ),
% 12.09/12.47 product( i( X ), Y ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43881, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 12.09/12.47 , clause( 43, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43882, [ =( product( X, product( Y, X ) ), quotient( product( X, Y
% 12.09/12.47 ), j( X ) ) ) ] )
% 12.09/12.47 , clause( 733, [ =( difference( product( Y, product( X, Y ) ), product( Y,
% 12.09/12.47 X ) ), j( Y ) ) ] )
% 12.09/12.47 , 0, clause( 43881, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, product( X, Y ) ), :=( Y, product( X, product( Y, X ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43883, [ =( quotient( product( X, Y ), j( X ) ), product( X,
% 12.09/12.47 product( Y, X ) ) ) ] )
% 12.09/12.47 , clause( 43882, [ =( product( X, product( Y, X ) ), quotient( product( X,
% 12.09/12.47 Y ), j( X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 17665, [ =( quotient( product( X, Y ), j( X ) ), product( X,
% 12.09/12.47 product( Y, X ) ) ) ] )
% 12.09/12.47 , clause( 43883, [ =( quotient( product( X, Y ), j( X ) ), product( X,
% 12.09/12.47 product( Y, X ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43885, [ =( product( X, product( Y, X ) ), quotient( product( X, Y
% 12.09/12.47 ), j( X ) ) ) ] )
% 12.09/12.47 , clause( 17665, [ =( quotient( product( X, Y ), j( X ) ), product( X,
% 12.09/12.47 product( Y, X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43887, [ =( product( X, product( difference( X, Y ), X ) ),
% 12.09/12.47 quotient( Y, j( X ) ) ) ] )
% 12.09/12.47 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.47 , 0, clause( 43885, [ =( product( X, product( Y, X ) ), quotient( product(
% 12.09/12.47 X, Y ), j( X ) ) ) ] )
% 12.09/12.47 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 19782, [ =( product( X, product( difference( X, Y ), X ) ),
% 12.09/12.47 quotient( Y, j( X ) ) ) ] )
% 12.09/12.47 , clause( 43887, [ =( product( X, product( difference( X, Y ), X ) ),
% 12.09/12.47 quotient( Y, j( X ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43891, [ =( a( Y, Z, T ), a( product( eta( X ), Y ), Z, T ) ) ] )
% 12.09/12.47 , clause( 4744, [ =( a( product( eta( X ), Y ), Z, T ), a( Y, Z, T ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43896, [ =( a( quotient( eta( eta( X ) ), Y ), Z, T ), a( j(
% 12.09/12.47 quotient( Y, eta( X ) ) ), Z, T ) ) ] )
% 12.09/12.47 , clause( 785, [ =( product( X, quotient( eta( X ), Y ) ), j( quotient( Y,
% 12.09/12.47 X ) ) ) ] )
% 12.09/12.47 , 0, clause( 43891, [ =( a( Y, Z, T ), a( product( eta( X ), Y ), Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, eta( X ) ), :=( Y, Y )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, quotient( eta( eta( X ) ), Y ) ),
% 12.09/12.47 :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43897, [ =( a( quotient( eta( eta( X ) ), Y ), Z, T ), a( Z, T,
% 12.09/12.47 quotient( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , clause( 514, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.47 , 0, clause( 43896, [ =( a( quotient( eta( eta( X ) ), Y ), Z, T ), a( j(
% 12.09/12.47 quotient( Y, eta( X ) ) ), Z, T ) ) ] )
% 12.09/12.47 , 0, 9, substitution( 0, [ :=( X, quotient( Y, eta( X ) ) ), :=( Y, Z ),
% 12.09/12.47 :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 12.09/12.47 :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43898, [ =( a( quotient( one, Y ), Z, T ), a( Z, T, quotient( Y,
% 12.09/12.47 eta( X ) ) ) ) ] )
% 12.09/12.47 , clause( 235, [ =( eta( eta( X ) ), one ) ] )
% 12.09/12.47 , 0, clause( 43897, [ =( a( quotient( eta( eta( X ) ), Y ), Z, T ), a( Z, T
% 12.09/12.47 , quotient( Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43899, [ =( a( j( X ), Y, Z ), a( Y, Z, quotient( X, eta( T ) ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 12.09/12.47 , 0, clause( 43898, [ =( a( quotient( one, Y ), Z, T ), a( Z, T, quotient(
% 12.09/12.47 Y, eta( X ) ) ) ) ] )
% 12.09/12.47 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, T ),
% 12.09/12.47 :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43900, [ =( a( Y, Z, X ), a( Y, Z, quotient( X, eta( T ) ) ) ) ] )
% 12.09/12.47 , clause( 514, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.47 , 0, clause( 43899, [ =( a( j( X ), Y, Z ), a( Y, Z, quotient( X, eta( T )
% 12.09/12.47 ) ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43901, [ =( a( X, Y, quotient( Z, eta( T ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , clause( 43900, [ =( a( Y, Z, X ), a( Y, Z, quotient( X, eta( T ) ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 21734, [ =( a( Z, T, quotient( Y, eta( X ) ) ), a( Z, T, Y ) ) ] )
% 12.09/12.47 , clause( 43901, [ =( a( X, Y, quotient( Z, eta( T ) ) ), a( X, Y, Z ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43903, [ =( a( Y, Z, T ), a( product( eta( X ), Y ), Z, T ) ) ] )
% 12.09/12.47 , clause( 4744, [ =( a( product( eta( X ), Y ), Z, T ), a( Y, Z, T ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43904, [ =( a( difference( eta( X ), Y ), Z, T ), a( Y, Z, T ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 12.09/12.47 , 0, clause( 43903, [ =( a( Y, Z, T ), a( product( eta( X ), Y ), Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, 9, substitution( 0, [ :=( X, eta( X ) ), :=( Y, Y )] ), substitution(
% 12.09/12.47 1, [ :=( X, X ), :=( Y, difference( eta( X ), Y ) ), :=( Z, Z ), :=( T, T
% 12.09/12.47 )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 21741, [ =( a( difference( eta( X ), Y ), Z, T ), a( Y, Z, T ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 43904, [ =( a( difference( eta( X ), Y ), Z, T ), a( Y, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43907, [ =( a( X, Y, Z ), a( X, Y, quotient( Z, eta( T ) ) ) ) ] )
% 12.09/12.47 , clause( 21734, [ =( a( Z, T, quotient( Y, eta( X ) ) ), a( Z, T, Y ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43913, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a( X, Y
% 12.09/12.47 , difference( product( eta( T ), Z ), j( j( eta( T ) ) ) ) ) ) ] )
% 12.09/12.47 , clause( 725, [ =( quotient( difference( Y, i( i( X ) ) ), X ), difference(
% 12.09/12.47 product( X, Y ), j( j( X ) ) ) ) ] )
% 12.09/12.47 , 0, clause( 43907, [ =( a( X, Y, Z ), a( X, Y, quotient( Z, eta( T ) ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, 13, substitution( 0, [ :=( X, eta( T ) ), :=( Y, Z )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, difference( Z, i( i(
% 12.09/12.47 eta( T ) ) ) ) ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43914, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a( X, Y
% 12.09/12.47 , difference( product( eta( T ), Z ), j( i( eta( T ) ) ) ) ) ) ] )
% 12.09/12.47 , clause( 232, [ =( j( eta( X ) ), i( eta( X ) ) ) ] )
% 12.09/12.47 , 0, clause( 43913, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a(
% 12.09/12.47 X, Y, difference( product( eta( T ), Z ), j( j( eta( T ) ) ) ) ) ) ] )
% 12.09/12.47 , 0, 19, substitution( 0, [ :=( X, T )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43915, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a( X, Y
% 12.09/12.47 , difference( product( eta( T ), Z ), eta( T ) ) ) ) ] )
% 12.09/12.47 , clause( 42, [ =( j( i( X ) ), X ) ] )
% 12.09/12.47 , 0, clause( 43914, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a(
% 12.09/12.47 X, Y, difference( product( eta( T ), Z ), j( i( eta( T ) ) ) ) ) ) ] )
% 12.09/12.47 , 0, 18, substitution( 0, [ :=( X, eta( T ) )] ), substitution( 1, [ :=( X
% 12.09/12.47 , X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43916, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a( X, Y
% 12.09/12.47 , i( Z ) ) ) ] )
% 12.09/12.47 , clause( 790, [ =( difference( product( eta( X ), Y ), eta( X ) ), i( Y )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, clause( 43915, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a(
% 12.09/12.47 X, Y, difference( product( eta( T ), Z ), eta( T ) ) ) ) ] )
% 12.09/12.47 , 0, 13, substitution( 0, [ :=( X, T ), :=( Y, Z )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43917, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a( Z, X
% 12.09/12.47 , Y ) ) ] )
% 12.09/12.47 , clause( 674, [ =( a( Z, X, i( Y ) ), a( Y, Z, X ) ) ] )
% 12.09/12.47 , 0, clause( 43916, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a(
% 12.09/12.47 X, Y, i( Z ) ) ) ] )
% 12.09/12.47 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43918, [ =( a( X, Y, difference( Z, eta( T ) ) ), a( Z, X, Y ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 208, [ =( i( i( eta( X ) ) ), eta( X ) ) ] )
% 12.09/12.47 , 0, clause( 43917, [ =( a( X, Y, difference( Z, i( i( eta( T ) ) ) ) ), a(
% 12.09/12.47 Z, X, Y ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, T )] ), substitution( 1, [ :=( X, X ),
% 12.09/12.47 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 21753, [ =( a( Z, T, difference( X, eta( Y ) ) ), a( X, Z, T ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 43918, [ =( a( X, Y, difference( Z, eta( T ) ) ), a( Z, X, Y ) )
% 12.09/12.47 ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43920, [ =( a( Z, X, Y ), a( X, Y, difference( Z, eta( T ) ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 21753, [ =( a( Z, T, difference( X, eta( Y ) ) ), a( X, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43921, [ =( a( difference( eta( T ), Z ), X, Y ), a( X, Y,
% 12.09/12.47 difference( Z, eta( T ) ) ) ) ] )
% 12.09/12.47 , clause( 797, [ =( a( Z, T, difference( Y, eta( X ) ) ), a( difference(
% 12.09/12.47 eta( X ), Y ), Z, T ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43925, [ =( a( X, difference( eta( Y ), Z ), T ), a( T, difference(
% 12.09/12.47 X, eta( U ) ), difference( Z, eta( Y ) ) ) ) ] )
% 12.09/12.47 , clause( 43921, [ =( a( difference( eta( T ), Z ), X, Y ), a( X, Y,
% 12.09/12.47 difference( Z, eta( T ) ) ) ) ] )
% 12.09/12.47 , 0, clause( 43920, [ =( a( Z, X, Y ), a( X, Y, difference( Z, eta( T ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, T ), :=( Y, difference( X, eta( U ) ) ),
% 12.09/12.47 :=( Z, Z ), :=( T, Y )] ), substitution( 1, [ :=( X, difference( eta( Y )
% 12.09/12.47 , Z ) ), :=( Y, T ), :=( Z, X ), :=( T, U )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43926, [ =( a( X, difference( eta( Y ), Z ), T ), a( Z, T,
% 12.09/12.47 difference( X, eta( U ) ) ) ) ] )
% 12.09/12.47 , clause( 21753, [ =( a( Z, T, difference( X, eta( Y ) ) ), a( X, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43925, [ =( a( X, difference( eta( Y ), Z ), T ), a( T,
% 12.09/12.47 difference( X, eta( U ) ), difference( Z, eta( Y ) ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T,
% 12.09/12.47 difference( X, eta( U ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 12.09/12.47 , :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43928, [ =( a( X, difference( eta( Y ), Z ), T ), a( X, Z, T ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 21753, [ =( a( Z, T, difference( X, eta( Y ) ) ), a( X, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43926, [ =( a( X, difference( eta( Y ), Z ), T ), a( Z, T,
% 12.09/12.47 difference( X, eta( U ) ) ) ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, U ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.47 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 12.09/12.47 U, U )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 21765, [ =( a( T, difference( eta( X ), Y ), Z ), a( T, Y, Z ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 43928, [ =( a( X, difference( eta( Y ), Z ), T ), a( X, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43930, [ =( a( Z, X, Y ), a( X, Y, difference( Z, eta( T ) ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 21753, [ =( a( Z, T, difference( X, eta( Y ) ) ), a( X, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43934, [ =( a( X, j( Y ), Z ), a( Z, difference( X, eta( T ) ), Y )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 514, [ =( a( j( X ), Y, Z ), a( Y, Z, X ) ) ] )
% 12.09/12.47 , 0, clause( 43930, [ =( a( Z, X, Y ), a( X, Y, difference( Z, eta( T ) ) )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, difference( X,
% 12.09/12.47 eta( T ) ) )] ), substitution( 1, [ :=( X, j( Y ) ), :=( Y, Z ), :=( Z, X
% 12.09/12.47 ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43935, [ =( a( X, i( Y ), Z ), a( Z, difference( X, eta( T ) ), Y )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 29, [ =( a( X, j( Y ), Z ), a( X, i( Y ), Z ) ) ] )
% 12.09/12.47 , 0, clause( 43934, [ =( a( X, j( Y ), Z ), a( Z, difference( X, eta( T ) )
% 12.09/12.47 , Y ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43936, [ =( a( Z, difference( X, eta( T ) ), Y ), a( X, i( Y ), Z )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 43935, [ =( a( X, i( Y ), Z ), a( Z, difference( X, eta( T ) ), Y
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 21776, [ =( a( Y, difference( Z, eta( T ) ), X ), a( Z, i( X ), Y )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 43936, [ =( a( Z, difference( X, eta( T ) ), Y ), a( X, i( Y ), Z
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43937, [ =( a( X, Z, T ), a( X, difference( eta( Y ), Z ), T ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 21765, [ =( a( T, difference( eta( X ), Y ), Z ), a( T, Y, Z ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43941, [ =( a( X, Y, difference( Z, eta( T ) ) ), a( Z, X,
% 12.09/12.47 difference( eta( U ), Y ) ) ) ] )
% 12.09/12.47 , clause( 21753, [ =( a( Z, T, difference( X, eta( Y ) ) ), a( X, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43937, [ =( a( X, Z, T ), a( X, difference( eta( Y ), Z ), T )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T,
% 12.09/12.47 difference( eta( U ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, U )
% 12.09/12.47 , :=( Z, Y ), :=( T, difference( Z, eta( T ) ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43943, [ =( a( Z, X, Y ), a( Z, X, difference( eta( U ), Y ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 21753, [ =( a( Z, T, difference( X, eta( Y ) ) ), a( X, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43941, [ =( a( X, Y, difference( Z, eta( T ) ) ), a( Z, X,
% 12.09/12.47 difference( eta( U ), Y ) ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 12.09/12.47 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 12.09/12.47 U, U )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43944, [ =( a( X, Y, difference( eta( T ), Z ) ), a( X, Y, Z ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 43943, [ =( a( Z, X, Y ), a( Z, X, difference( eta( U ), Y ) ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, U ),
% 12.09/12.47 :=( U, T )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 21842, [ =( a( T, X, difference( eta( Y ), Z ) ), a( T, X, Z ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 43944, [ =( a( X, Y, difference( eta( T ), Z ) ), a( X, Y, Z ) )
% 12.09/12.47 ] )
% 12.09/12.47 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 12.09/12.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43946, [ =( quotient( Y, j( X ) ), product( X, product( difference(
% 12.09/12.47 X, Y ), X ) ) ) ] )
% 12.09/12.47 , clause( 19782, [ =( product( X, product( difference( X, Y ), X ) ),
% 12.09/12.47 quotient( Y, j( X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43949, [ =( quotient( quotient( X, Y ), j( Y ) ), product( Y,
% 12.09/12.47 product( i( Y ), X ) ) ) ] )
% 12.09/12.47 , clause( 14959, [ =( product( difference( Y, quotient( X, Y ) ), Y ),
% 12.09/12.47 product( i( Y ), X ) ) ] )
% 12.09/12.47 , 0, clause( 43946, [ =( quotient( Y, j( X ) ), product( X, product(
% 12.09/12.47 difference( X, Y ), X ) ) ) ] )
% 12.09/12.47 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, Y ), :=( Y, quotient( X, Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43950, [ =( product( j( Y ), product( Y, X ) ), product( Y, product(
% 12.09/12.47 i( Y ), X ) ) ) ] )
% 12.09/12.47 , clause( 578, [ =( quotient( quotient( Y, X ), j( X ) ), product( j( X ),
% 12.09/12.47 product( X, Y ) ) ) ] )
% 12.09/12.47 , 0, clause( 43949, [ =( quotient( quotient( X, Y ), j( Y ) ), product( Y,
% 12.09/12.47 product( i( Y ), X ) ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43951, [ =( product( X, product( i( X ), Y ) ), product( j( X ),
% 12.09/12.47 product( X, Y ) ) ) ] )
% 12.09/12.47 , clause( 43950, [ =( product( j( Y ), product( Y, X ) ), product( Y,
% 12.09/12.47 product( i( Y ), X ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 27074, [ =( product( X, product( i( X ), Y ) ), product( j( X ),
% 12.09/12.47 product( X, Y ) ) ) ] )
% 12.09/12.47 , clause( 43951, [ =( product( X, product( i( X ), Y ) ), product( j( X ),
% 12.09/12.47 product( X, Y ) ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43955, [ =( difference( product( j( X ), product( X, Y ) ), Y ), a(
% 12.09/12.47 X, i( X ), Y ) ) ] )
% 12.09/12.47 , clause( 27074, [ =( product( X, product( i( X ), Y ) ), product( j( X ),
% 12.09/12.47 product( X, Y ) ) ) ] )
% 12.09/12.47 , 0, clause( 5118, [ =( difference( product( X, product( i( X ), Y ) ), Y )
% 12.09/12.47 , a( X, i( X ), Y ) ) ] )
% 12.09/12.47 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43956, [ =( a( X, Y, X ), a( X, i( X ), Y ) ) ] )
% 12.09/12.47 , clause( 5116, [ =( difference( product( j( X ), product( X, Y ) ), Y ), a(
% 12.09/12.47 X, Y, X ) ) ] )
% 12.09/12.47 , 0, clause( 43955, [ =( difference( product( j( X ), product( X, Y ) ), Y
% 12.09/12.47 ), a( X, i( X ), Y ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 12.09/12.47 :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43957, [ =( a( X, i( X ), Y ), a( X, Y, X ) ) ] )
% 12.09/12.47 , clause( 43956, [ =( a( X, Y, X ), a( X, i( X ), Y ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 42309, [ =( a( X, i( X ), Y ), a( X, Y, X ) ) ] )
% 12.09/12.47 , clause( 43957, [ =( a( X, i( X ), Y ), a( X, Y, X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43958, [ =( a( X, Y, X ), a( X, i( X ), Y ) ) ] )
% 12.09/12.47 , clause( 42309, [ =( a( X, i( X ), Y ), a( X, Y, X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43965, [ =( a( difference( eta( X ), Y ), Z, difference( eta( X ),
% 12.09/12.47 Y ) ), a( Y, i( difference( eta( X ), Y ) ), Z ) ) ] )
% 12.09/12.47 , clause( 21741, [ =( a( difference( eta( X ), Y ), Z, T ), a( Y, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43958, [ =( a( X, Y, X ), a( X, i( X ), Y ) ) ] )
% 12.09/12.47 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, i( difference(
% 12.09/12.47 eta( X ), Y ) ) ), :=( T, Z )] ), substitution( 1, [ :=( X, difference(
% 12.09/12.47 eta( X ), Y ) ), :=( Y, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43967, [ =( a( difference( eta( X ), Y ), Z, Y ), a( Y, i(
% 12.09/12.47 difference( eta( X ), Y ) ), Z ) ) ] )
% 12.09/12.47 , clause( 21842, [ =( a( T, X, difference( eta( Y ), Z ) ), a( T, X, Z ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43965, [ =( a( difference( eta( X ), Y ), Z, difference( eta(
% 12.09/12.47 X ), Y ) ), a( Y, i( difference( eta( X ), Y ) ), Z ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T,
% 12.09/12.47 difference( eta( X ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 12.09/12.47 , :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43968, [ =( a( Y, Z, Y ), a( Y, i( difference( eta( X ), Y ) ), Z )
% 12.09/12.47 ) ] )
% 12.09/12.47 , clause( 21741, [ =( a( difference( eta( X ), Y ), Z, T ), a( Y, Z, T ) )
% 12.09/12.47 ] )
% 12.09/12.47 , 0, clause( 43967, [ =( a( difference( eta( X ), Y ), Z, Y ), a( Y, i(
% 12.09/12.47 difference( eta( X ), Y ) ), Z ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 12.09/12.47 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43969, [ =( a( X, Y, X ), a( X, difference( X, eta( Z ) ), Y ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , clause( 793, [ =( i( difference( eta( X ), Y ) ), difference( Y, eta( X )
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, clause( 43968, [ =( a( Y, Z, Y ), a( Y, i( difference( eta( X ), Y ) )
% 12.09/12.47 , Z ) ) ] )
% 12.09/12.47 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 12.09/12.47 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43970, [ =( a( X, Y, X ), a( X, i( Y ), X ) ) ] )
% 12.09/12.47 , clause( 21776, [ =( a( Y, difference( Z, eta( T ) ), X ), a( Z, i( X ), Y
% 12.09/12.47 ) ) ] )
% 12.09/12.47 , 0, clause( 43969, [ =( a( X, Y, X ), a( X, difference( X, eta( Z ) ), Y )
% 12.09/12.47 ) ] )
% 12.09/12.47 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X ), :=( T, Z )] )
% 12.09/12.47 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43971, [ =( a( X, i( Y ), X ), a( X, Y, X ) ) ] )
% 12.09/12.47 , clause( 43970, [ =( a( X, Y, X ), a( X, i( Y ), X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 42335, [ =( a( Y, i( Z ), Y ), a( Y, Z, Y ) ) ] )
% 12.09/12.47 , clause( 43971, [ =( a( X, i( Y ), X ), a( X, Y, X ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43973, [ =( a( X, Y, Z ), t( X, i( a( Y, Z, X ) ) ) ) ] )
% 12.09/12.47 , clause( 11401, [ =( t( X, i( a( Y, Z, X ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43977, [ =( a( X, X, i( Y ) ), t( X, i( a( X, Y, X ) ) ) ) ] )
% 12.09/12.47 , clause( 42335, [ =( a( Y, i( Z ), Y ), a( Y, Z, Y ) ) ] )
% 12.09/12.47 , 0, clause( 43973, [ =( a( X, Y, Z ), t( X, i( a( Y, Z, X ) ) ) ) ] )
% 12.09/12.47 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, i( Y ) )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43978, [ =( a( X, X, i( Y ) ), a( X, X, Y ) ) ] )
% 12.09/12.47 , clause( 11401, [ =( t( X, i( a( Y, Z, X ) ) ), a( X, Y, Z ) ) ] )
% 12.09/12.47 , 0, clause( 43977, [ =( a( X, X, i( Y ) ), t( X, i( a( X, Y, X ) ) ) ) ]
% 12.09/12.47 )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43979, [ =( a( Y, X, X ), a( X, X, Y ) ) ] )
% 12.09/12.47 , clause( 674, [ =( a( Z, X, i( Y ) ), a( Y, Z, X ) ) ] )
% 12.09/12.47 , 0, clause( 43978, [ =( a( X, X, i( Y ) ), a( X, X, Y ) ) ] )
% 12.09/12.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 12.09/12.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43980, [ =( a( Y, Y, X ), a( X, Y, Y ) ) ] )
% 12.09/12.47 , clause( 43979, [ =( a( Y, X, X ), a( X, X, Y ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 42340, [ =( a( X, X, Y ), a( Y, X, X ) ) ] )
% 12.09/12.47 , clause( 43980, [ =( a( Y, Y, X ), a( X, Y, Y ) ) ] )
% 12.09/12.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.09/12.47 )] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43981, [ =( a( Y, X, X ), a( X, X, Y ) ) ] )
% 12.09/12.47 , clause( 42340, [ =( a( X, X, Y ), a( Y, X, X ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqswap(
% 12.09/12.47 clause( 43982, [ ~( =( a( x1, x1, x0 ), a( x0, x1, x1 ) ) ) ] )
% 12.09/12.47 , clause( 32, [ ~( =( a( x0, x1, x1 ), a( x1, x1, x0 ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 paramod(
% 12.09/12.47 clause( 43983, [ ~( =( a( x1, x1, x0 ), a( x1, x1, x0 ) ) ) ] )
% 12.09/12.47 , clause( 43981, [ =( a( Y, X, X ), a( X, X, Y ) ) ] )
% 12.09/12.47 , 0, clause( 43982, [ ~( =( a( x1, x1, x0 ), a( x0, x1, x1 ) ) ) ] )
% 12.09/12.47 , 0, 6, substitution( 0, [ :=( X, x1 ), :=( Y, x0 )] ), substitution( 1, [] )
% 12.09/12.47 ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 eqrefl(
% 12.09/12.47 clause( 43984, [] )
% 12.09/12.47 , clause( 43983, [ ~( =( a( x1, x1, x0 ), a( x1, x1, x0 ) ) ) ] )
% 12.09/12.47 , 0, substitution( 0, [] )).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 subsumption(
% 12.09/12.47 clause( 42344, [] )
% 12.09/12.47 , clause( 43984, [] )
% 12.09/12.47 , substitution( 0, [] ), permutation( 0, [] ) ).
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 end.
% 12.09/12.47
% 12.09/12.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.09/12.47
% 12.09/12.47 Memory use:
% 12.09/12.47
% 12.09/12.47 space for terms: 585396
% 12.09/12.47 space for clauses: 4930273
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 clauses generated: 2451056
% 12.09/12.47 clauses kept: 42345
% 12.09/12.47 clauses selected: 3911
% 12.09/12.47 clauses deleted: 23329
% 12.09/12.47 clauses inuse deleted: 1724
% 12.09/12.47
% 12.09/12.47 subsentry: 14941
% 12.09/12.47 literals s-matched: 11911
% 12.09/12.47 literals matched: 11902
% 12.09/12.47 full subsumption: 0
% 12.09/12.47
% 12.09/12.47 checksum: -1669328205
% 12.09/12.47
% 12.09/12.47
% 12.09/12.47 Bliksem ended
%------------------------------------------------------------------------------