TSTP Solution File: GRP769-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP769-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:39:29 EDT 2022
% Result : Unsatisfiable 5.56s 5.95s
% Output : Refutation 5.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP769-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 04:35:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.56/5.95 *** allocated 10000 integers for termspace/termends
% 5.56/5.95 *** allocated 10000 integers for clauses
% 5.56/5.95 *** allocated 10000 integers for justifications
% 5.56/5.95 Bliksem 1.12
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Automatic Strategy Selection
% 5.56/5.95
% 5.56/5.95 Clauses:
% 5.56/5.95 [
% 5.56/5.95 [ =( product( X, one ), X ) ],
% 5.56/5.95 [ =( product( one, X ), X ) ],
% 5.56/5.95 [ =( product( X, difference( X, Y ) ), Y ) ],
% 5.56/5.95 [ =( difference( X, product( X, Y ) ), Y ) ],
% 5.56/5.95 [ =( quotient( product( X, Y ), Y ), X ) ],
% 5.56/5.95 [ =( product( quotient( X, Y ), Y ), X ) ],
% 5.56/5.95 [ =( difference( X, product( product( X, Y ), Z ) ), quotient( product(
% 5.56/5.95 Y, product( Z, X ) ), X ) ) ],
% 5.56/5.95 [ =( difference( product( X, Y ), product( X, product( Y, Z ) ) ),
% 5.56/5.95 quotient( quotient( product( Z, product( X, Y ) ), Y ), X ) ) ],
% 5.56/5.95 [ =( i( X ), difference( X, one ) ) ],
% 5.56/5.95 [ =( j( X ), quotient( one, X ) ) ],
% 5.56/5.95 [ =( product( i( X ), X ), product( X, j( X ) ) ) ],
% 5.56/5.95 [ =( eta( X ), product( i( X ), X ) ) ],
% 5.56/5.95 [ =( product( i( i( X ) ), Y ), product( eta( X ), product( X, Y ) ) ) ]
% 5.56/5.95 ,
% 5.56/5.95 [ =( product( X, product( eta( X ), Y ) ), product( j( j( X ) ), Y ) ) ]
% 5.56/5.95 ,
% 5.56/5.95 [ =( product( X, product( Y, eta( X ) ) ), product( product( X, Y ), eta(
% 5.56/5.95 X ) ) ) ],
% 5.56/5.95 [ =( product( eta( X ), product( Y, Z ) ), product( product( eta( X ), Y
% 5.56/5.95 ), Z ) ) ],
% 5.56/5.95 [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) ) ],
% 5.56/5.95 [ =( product( product( product( quotient( j( X ), X ), product( X, X ) )
% 5.56/5.95 , Y ), Z ), product( product( quotient( j( X ), X ), product( X, X ) ),
% 5.56/5.95 product( Y, Z ) ) ) ],
% 5.56/5.95 [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ],
% 5.56/5.95 [ =( t( eta( X ), product( Y, Z ) ), product( t( eta( X ), Y ), t( eta(
% 5.56/5.95 X ), Z ) ) ) ],
% 5.56/5.95 [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y ) ) ],
% 5.56/5.95 [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y ) ) ],
% 5.56/5.95 [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ],
% 5.56/5.95 [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ],
% 5.56/5.95 [ ~( =( product( product( x0, x1 ), x2 ), product( product( x0, x2 ),
% 5.56/5.95 difference( x2, product( x1, x2 ) ) ) ) ) ]
% 5.56/5.95 ] .
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 percentage equality = 1.000000, percentage horn = 1.000000
% 5.56/5.95 This is a pure equality problem
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Options Used:
% 5.56/5.95
% 5.56/5.95 useres = 1
% 5.56/5.95 useparamod = 1
% 5.56/5.95 useeqrefl = 1
% 5.56/5.95 useeqfact = 1
% 5.56/5.95 usefactor = 1
% 5.56/5.95 usesimpsplitting = 0
% 5.56/5.95 usesimpdemod = 5
% 5.56/5.95 usesimpres = 3
% 5.56/5.95
% 5.56/5.95 resimpinuse = 1000
% 5.56/5.95 resimpclauses = 20000
% 5.56/5.95 substype = eqrewr
% 5.56/5.95 backwardsubs = 1
% 5.56/5.95 selectoldest = 5
% 5.56/5.95
% 5.56/5.95 litorderings [0] = split
% 5.56/5.95 litorderings [1] = extend the termordering, first sorting on arguments
% 5.56/5.95
% 5.56/5.95 termordering = kbo
% 5.56/5.95
% 5.56/5.95 litapriori = 0
% 5.56/5.95 termapriori = 1
% 5.56/5.95 litaposteriori = 0
% 5.56/5.95 termaposteriori = 0
% 5.56/5.95 demodaposteriori = 0
% 5.56/5.95 ordereqreflfact = 0
% 5.56/5.95
% 5.56/5.95 litselect = negord
% 5.56/5.95
% 5.56/5.95 maxweight = 15
% 5.56/5.95 maxdepth = 30000
% 5.56/5.95 maxlength = 115
% 5.56/5.95 maxnrvars = 195
% 5.56/5.95 excuselevel = 1
% 5.56/5.95 increasemaxweight = 1
% 5.56/5.95
% 5.56/5.95 maxselected = 10000000
% 5.56/5.95 maxnrclauses = 10000000
% 5.56/5.95
% 5.56/5.95 showgenerated = 0
% 5.56/5.95 showkept = 0
% 5.56/5.95 showselected = 0
% 5.56/5.95 showdeleted = 0
% 5.56/5.95 showresimp = 1
% 5.56/5.95 showstatus = 2000
% 5.56/5.95
% 5.56/5.95 prologoutput = 1
% 5.56/5.95 nrgoals = 5000000
% 5.56/5.95 totalproof = 1
% 5.56/5.95
% 5.56/5.95 Symbols occurring in the translation:
% 5.56/5.95
% 5.56/5.95 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.56/5.95 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 5.56/5.95 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 5.56/5.95 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.56/5.95 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.56/5.95 one [40, 0] (w:1, o:7, a:1, s:1, b:0),
% 5.56/5.95 product [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 5.56/5.95 difference [43, 2] (w:1, o:50, a:1, s:1, b:0),
% 5.56/5.95 quotient [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 5.56/5.95 i [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 5.56/5.95 j [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 5.56/5.95 eta [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 5.56/5.95 t [49, 2] (w:1, o:52, a:1, s:1, b:0),
% 5.56/5.95 x0 [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 5.56/5.95 x1 [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 5.56/5.95 x2 [52, 0] (w:1, o:15, a:1, s:1, b:0).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Starting Search:
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Intermediate Status:
% 5.56/5.95 Generated: 21564
% 5.56/5.95 Kept: 2051
% 5.56/5.95 Inuse: 280
% 5.56/5.95 Deleted: 146
% 5.56/5.95 Deletedinuse: 37
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Intermediate Status:
% 5.56/5.95 Generated: 46874
% 5.56/5.95 Kept: 4059
% 5.56/5.95 Inuse: 492
% 5.56/5.95 Deleted: 493
% 5.56/5.95 Deletedinuse: 145
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Intermediate Status:
% 5.56/5.95 Generated: 73498
% 5.56/5.95 Kept: 6070
% 5.56/5.95 Inuse: 669
% 5.56/5.95 Deleted: 631
% 5.56/5.95 Deletedinuse: 232
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Intermediate Status:
% 5.56/5.95 Generated: 125848
% 5.56/5.95 Kept: 8073
% 5.56/5.95 Inuse: 891
% 5.56/5.95 Deleted: 798
% 5.56/5.95 Deletedinuse: 277
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Intermediate Status:
% 5.56/5.95 Generated: 228991
% 5.56/5.95 Kept: 10082
% 5.56/5.95 Inuse: 1177
% 5.56/5.95 Deleted: 1244
% 5.56/5.95 Deletedinuse: 337
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Intermediate Status:
% 5.56/5.95 Generated: 376738
% 5.56/5.95 Kept: 12083
% 5.56/5.95 Inuse: 1489
% 5.56/5.95 Deleted: 1483
% 5.56/5.95 Deletedinuse: 392
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95 Done
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 Intermediate Status:
% 5.56/5.95 Generated: 574428
% 5.56/5.95 Kept: 14096
% 5.56/5.95 Inuse: 1784
% 5.56/5.95 Deleted: 1763
% 5.56/5.95 Deletedinuse: 430
% 5.56/5.95
% 5.56/5.95 Resimplifying inuse:
% 5.56/5.95
% 5.56/5.95 Bliksems!, er is een bewijs:
% 5.56/5.95 % SZS status Unsatisfiable
% 5.56/5.95 % SZS output start Refutation
% 5.56/5.95
% 5.56/5.95 clause( 0, [ =( product( X, one ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 1, [ =( product( one, X ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference( X
% 5.56/5.95 , product( product( X, Y ), Z ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) ), X
% 5.56/5.95 ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X ) )
% 5.56/5.95 , Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 14, [ =( product( X, product( Y, eta( X ) ) ), product( product( X
% 5.56/5.95 , Y ), eta( X ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.56/5.95 eta( X ), Y ), Z ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 24, [ ~( =( product( product( x0, x2 ), difference( x2, product( x1
% 5.56/5.95 , x2 ) ) ), product( product( x0, x1 ), x2 ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 28, [ =( difference( one, X ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 39, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.56/5.95 quotient( Y, X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 43, [ =( difference( Z, product( product( Z, quotient( X, product(
% 5.56/5.95 Y, Z ) ) ), Y ) ), quotient( X, Z ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 44, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y )
% 5.56/5.95 ) ), quotient( product( Z, X ), Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 47, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 53, [ =( quotient( difference( X, Y ), Y ), difference( product( Y
% 5.56/5.95 , X ), Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 54, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 5.56/5.95 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 56, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 61, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 71, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 87, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 93, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 104, [ =( quotient( product( product( X, Y ), eta( X ) ), X ), t( X
% 5.56/5.95 , product( Y, eta( X ) ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 130, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 5.56/5.95 )
% 5.56/5.95 .
% 5.56/5.95 clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 185, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 364, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.56/5.95 product( X, Y ), X ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 406, [ =( product( product( X, quotient( Y, product( Z, X ) ) ), Z
% 5.56/5.95 ), product( X, quotient( Y, X ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 415, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.56/5.95 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) ) ]
% 5.56/5.95 )
% 5.56/5.95 .
% 5.56/5.95 clause( 439, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) ) )
% 5.56/5.95 ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 444, [ =( product( X, quotient( eta( X ), Y ) ), j( quotient( Y, X
% 5.56/5.95 ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) ) )
% 5.56/5.95 ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) ) )
% 5.56/5.95 ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 470, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X ) )
% 5.56/5.95 ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 475, [ =( difference( product( product( eta( X ), Y ), Z ), eta( X
% 5.56/5.95 ) ), i( product( Y, Z ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 520, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X,
% 5.56/5.95 Y ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 869, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.56/5.95 quotient( Y, X ) ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 7793, [ =( difference( product( quotient( eta( X ), Y ), Z ), eta(
% 5.56/5.95 X ) ), difference( Z, Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 12888, [ =( difference( quotient( Z, X ), quotient( Y, X ) ), t( X
% 5.56/5.95 , difference( Z, Y ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 12896, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z ) )
% 5.56/5.95 ), quotient( X, Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 12909, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.56/5.95 quotient( X, Y ), Z ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 12920, [ =( quotient( quotient( product( X, Y ), Z ), Y ), quotient(
% 5.56/5.95 X, t( Y, Z ) ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 12935, [ =( difference( quotient( X, t( Y, Z ) ), quotient( product(
% 5.56/5.95 X, Y ), Z ) ), Y ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 13186, [ =( quotient( product( t( Y, Z ), X ), product( Z,
% 5.56/5.95 difference( Y, X ) ) ), Y ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 13210, [ =( quotient( product( t( X, Z ), product( X, Y ) ),
% 5.56/5.95 product( Z, Y ) ), X ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 13227, [ =( product( product( Z, t( X, Y ) ), X ), product( product(
% 5.56/5.95 Z, X ), Y ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 13398, [ =( product( product( Z, X ), difference( X, Y ) ), product(
% 5.56/5.95 product( Z, quotient( Y, X ) ), X ) ) ] )
% 5.56/5.95 .
% 5.56/5.95 clause( 14153, [] )
% 5.56/5.95 .
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 % SZS output end Refutation
% 5.56/5.95 found a proof!
% 5.56/5.95
% 5.56/5.95 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.56/5.95
% 5.56/5.95 initialclauses(
% 5.56/5.95 [ clause( 14155, [ =( product( X, one ), X ) ] )
% 5.56/5.95 , clause( 14156, [ =( product( one, X ), X ) ] )
% 5.56/5.95 , clause( 14157, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.95 , clause( 14158, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.56/5.95 , clause( 14159, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.95 , clause( 14160, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.56/5.95 , clause( 14161, [ =( difference( X, product( product( X, Y ), Z ) ),
% 5.56/5.95 quotient( product( Y, product( Z, X ) ), X ) ) ] )
% 5.56/5.95 , clause( 14162, [ =( difference( product( X, Y ), product( X, product( Y,
% 5.56/5.95 Z ) ) ), quotient( quotient( product( Z, product( X, Y ) ), Y ), X ) ) ]
% 5.56/5.95 )
% 5.56/5.95 , clause( 14163, [ =( i( X ), difference( X, one ) ) ] )
% 5.56/5.95 , clause( 14164, [ =( j( X ), quotient( one, X ) ) ] )
% 5.56/5.95 , clause( 14165, [ =( product( i( X ), X ), product( X, j( X ) ) ) ] )
% 5.56/5.95 , clause( 14166, [ =( eta( X ), product( i( X ), X ) ) ] )
% 5.56/5.95 , clause( 14167, [ =( product( i( i( X ) ), Y ), product( eta( X ), product(
% 5.56/5.95 X, Y ) ) ) ] )
% 5.56/5.95 , clause( 14168, [ =( product( X, product( eta( X ), Y ) ), product( j( j(
% 5.56/5.95 X ) ), Y ) ) ] )
% 5.56/5.95 , clause( 14169, [ =( product( X, product( Y, eta( X ) ) ), product(
% 5.56/5.95 product( X, Y ), eta( X ) ) ) ] )
% 5.56/5.95 , clause( 14170, [ =( product( eta( X ), product( Y, Z ) ), product(
% 5.56/5.95 product( eta( X ), Y ), Z ) ) ] )
% 5.56/5.95 , clause( 14171, [ =( quotient( j( X ), X ), product( j( X ), i( X ) ) ) ]
% 5.56/5.95 )
% 5.56/5.95 , clause( 14172, [ =( product( product( product( quotient( j( X ), X ),
% 5.56/5.95 product( X, X ) ), Y ), Z ), product( product( quotient( j( X ), X ),
% 5.56/5.95 product( X, X ) ), product( Y, Z ) ) ) ] )
% 5.56/5.95 , clause( 14173, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.56/5.95 , clause( 14174, [ =( t( eta( X ), product( Y, Z ) ), product( t( eta( X )
% 5.56/5.95 , Y ), t( eta( X ), Z ) ) ) ] )
% 5.56/5.95 , clause( 14175, [ =( product( i( product( X, Y ) ), i( i( X ) ) ), i( Y )
% 5.56/5.95 ) ] )
% 5.56/5.95 , clause( 14176, [ =( product( j( j( X ) ), j( product( Y, X ) ) ), j( Y )
% 5.56/5.95 ) ] )
% 5.56/5.95 , clause( 14177, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.56/5.95 , clause( 14178, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.56/5.95 , clause( 14179, [ ~( =( product( product( x0, x1 ), x2 ), product( product(
% 5.56/5.95 x0, x2 ), difference( x2, product( x1, x2 ) ) ) ) ) ] )
% 5.56/5.95 ] ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 0, [ =( product( X, one ), X ) ] )
% 5.56/5.95 , clause( 14155, [ =( product( X, one ), X ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 1, [ =( product( one, X ), X ) ] )
% 5.56/5.95 , clause( 14156, [ =( product( one, X ), X ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.95 , clause( 14157, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.95 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.56/5.95 , clause( 14158, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.95 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.95 , clause( 14159, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.95 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.56/5.95 , clause( 14160, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.95 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14207, [ =( quotient( product( Y, product( Z, X ) ), X ),
% 5.56/5.95 difference( X, product( product( X, Y ), Z ) ) ) ] )
% 5.56/5.95 , clause( 14161, [ =( difference( X, product( product( X, Y ), Z ) ),
% 5.56/5.95 quotient( product( Y, product( Z, X ) ), X ) ) ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference( X
% 5.56/5.95 , product( product( X, Y ), Z ) ) ) ] )
% 5.56/5.95 , clause( 14207, [ =( quotient( product( Y, product( Z, X ) ), X ),
% 5.56/5.95 difference( X, product( product( X, Y ), Z ) ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.56/5.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 paramod(
% 5.56/5.95 clause( 14226, [ =( difference( product( X, Y ), product( X, product( Y, Z
% 5.56/5.95 ) ) ), quotient( difference( Y, product( product( Y, Z ), X ) ), X ) ) ]
% 5.56/5.95 )
% 5.56/5.95 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.56/5.95 X, product( product( X, Y ), Z ) ) ) ] )
% 5.56/5.95 , 0, clause( 14162, [ =( difference( product( X, Y ), product( X, product(
% 5.56/5.95 Y, Z ) ) ), quotient( quotient( product( Z, product( X, Y ) ), Y ), X ) )
% 5.56/5.95 ] )
% 5.56/5.95 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.56/5.95 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14227, [ =( quotient( difference( Y, product( product( Y, Z ), X )
% 5.56/5.95 ), X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 5.56/5.95 )
% 5.56/5.95 , clause( 14226, [ =( difference( product( X, Y ), product( X, product( Y,
% 5.56/5.95 Z ) ) ), quotient( difference( Y, product( product( Y, Z ), X ) ), X ) )
% 5.56/5.95 ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) ), X
% 5.56/5.95 ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ] )
% 5.56/5.95 , clause( 14227, [ =( quotient( difference( Y, product( product( Y, Z ), X
% 5.56/5.95 ) ), X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) )
% 5.56/5.95 ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.56/5.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14236, [ =( difference( X, one ), i( X ) ) ] )
% 5.56/5.95 , clause( 14163, [ =( i( X ), difference( X, one ) ) ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.56/5.95 , clause( 14236, [ =( difference( X, one ), i( X ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14246, [ =( quotient( one, X ), j( X ) ) ] )
% 5.56/5.95 , clause( 14164, [ =( j( X ), quotient( one, X ) ) ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.56/5.95 , clause( 14246, [ =( quotient( one, X ), j( X ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14257, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.56/5.95 , clause( 14165, [ =( product( i( X ), X ), product( X, j( X ) ) ) ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.56/5.95 , clause( 14257, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14269, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.56/5.95 , clause( 14166, [ =( eta( X ), product( i( X ), X ) ) ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.56/5.95 , clause( 14269, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X ) )
% 5.56/5.95 , Y ) ) ] )
% 5.56/5.95 , clause( 14168, [ =( product( X, product( eta( X ), Y ) ), product( j( j(
% 5.56/5.95 X ) ), Y ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.95 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 14, [ =( product( X, product( Y, eta( X ) ) ), product( product( X
% 5.56/5.95 , Y ), eta( X ) ) ) ] )
% 5.56/5.95 , clause( 14169, [ =( product( X, product( Y, eta( X ) ) ), product(
% 5.56/5.95 product( X, Y ), eta( X ) ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.95 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.56/5.95 eta( X ), Y ), Z ) ) ] )
% 5.56/5.95 , clause( 14170, [ =( product( eta( X ), product( Y, Z ) ), product(
% 5.56/5.95 product( eta( X ), Y ), Z ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.56/5.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14333, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.56/5.95 , clause( 14173, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.56/5.95 , clause( 14333, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.95 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.56/5.95 , clause( 14177, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.95 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.56/5.95 , clause( 14178, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.95 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14405, [ ~( =( product( product( x0, x2 ), difference( x2, product(
% 5.56/5.95 x1, x2 ) ) ), product( product( x0, x1 ), x2 ) ) ) ] )
% 5.56/5.95 , clause( 14179, [ ~( =( product( product( x0, x1 ), x2 ), product( product(
% 5.56/5.95 x0, x2 ), difference( x2, product( x1, x2 ) ) ) ) ) ] )
% 5.56/5.95 , 0, substitution( 0, [] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 24, [ ~( =( product( product( x0, x2 ), difference( x2, product( x1
% 5.56/5.95 , x2 ) ) ), product( product( x0, x1 ), x2 ) ) ) ] )
% 5.56/5.95 , clause( 14405, [ ~( =( product( product( x0, x2 ), difference( x2,
% 5.56/5.95 product( x1, x2 ) ) ), product( product( x0, x1 ), x2 ) ) ) ] )
% 5.56/5.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14407, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.56/5.95 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 paramod(
% 5.56/5.95 clause( 14408, [ =( one, product( j( X ), X ) ) ] )
% 5.56/5.95 , clause( 9, [ =( quotient( one, X ), j( X ) ) ] )
% 5.56/5.95 , 0, clause( 14407, [ =( X, product( quotient( X, Y ), Y ) ) ] )
% 5.56/5.95 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 5.56/5.95 :=( Y, X )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14409, [ =( product( j( X ), X ), one ) ] )
% 5.56/5.95 , clause( 14408, [ =( one, product( j( X ), X ) ) ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 subsumption(
% 5.56/5.95 clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.56/5.95 , clause( 14409, [ =( product( j( X ), X ), one ) ] )
% 5.56/5.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.95
% 5.56/5.95
% 5.56/5.95 eqswap(
% 5.56/5.95 clause( 14411, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.56/5.95 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14412, [ =( one, product( X, i( X ) ) ) ] )
% 5.56/5.96 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.56/5.96 , 0, clause( 14411, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, one )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14413, [ =( product( X, i( X ) ), one ) ] )
% 5.56/5.96 , clause( 14412, [ =( one, product( X, i( X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.56/5.96 , clause( 14413, [ =( product( X, i( X ) ), one ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14414, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14416, [ =( X, difference( one, X ) ) ] )
% 5.56/5.96 , clause( 1, [ =( product( one, X ), X ) ] )
% 5.56/5.96 , 0, clause( 14414, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, difference( one, X ) )] ), substitution(
% 5.56/5.96 1, [ :=( X, one ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14417, [ =( difference( one, X ), X ) ] )
% 5.56/5.96 , clause( 14416, [ =( X, difference( one, X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 28, [ =( difference( one, X ), X ) ] )
% 5.56/5.96 , clause( 14417, [ =( difference( one, X ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14419, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14420, [ =( X, difference( quotient( Y, X ), Y ) ) ] )
% 5.56/5.96 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, clause( 14419, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.56/5.96 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, quotient( Y, X ) ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14421, [ =( difference( quotient( Y, X ), Y ), X ) ] )
% 5.56/5.96 , clause( 14420, [ =( X, difference( quotient( Y, X ), Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.56/5.96 , clause( 14421, [ =( difference( quotient( Y, X ), Y ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14423, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14425, [ =( X, difference( j( X ), one ) ) ] )
% 5.56/5.96 , clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.56/5.96 , 0, clause( 14423, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 5.56/5.96 ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14426, [ =( X, i( j( X ) ) ) ] )
% 5.56/5.96 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.56/5.96 , 0, clause( 14425, [ =( X, difference( j( X ), one ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, j( X ) )] ), substitution( 1, [ :=( X, X
% 5.56/5.96 )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14427, [ =( i( j( X ) ), X ) ] )
% 5.56/5.96 , clause( 14426, [ =( X, i( j( X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.56/5.96 , clause( 14427, [ =( i( j( X ) ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14429, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14430, [ =( X, quotient( Y, difference( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, clause( 14429, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14431, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.56/5.96 , clause( 14430, [ =( X, quotient( Y, difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.56/5.96 , clause( 14431, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14433, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.56/5.96 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.56/5.96 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.56/5.96 X, product( product( X, Y ), Z ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14437, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.56/5.96 quotient( product( Y, one ), X ) ) ] )
% 5.56/5.96 , clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.56/5.96 , 0, clause( 14433, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.56/5.96 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.56/5.96 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 5.56/5.96 :=( Y, j( X ) ), :=( Z, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14438, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.56/5.96 quotient( Y, X ) ) ] )
% 5.56/5.96 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.56/5.96 , 0, clause( 14437, [ =( difference( X, product( product( X, Y ), j( X ) )
% 5.56/5.96 ), quotient( product( Y, one ), X ) ) ] )
% 5.56/5.96 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 39, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.56/5.96 quotient( Y, X ) ) ] )
% 5.56/5.96 , clause( 14438, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.56/5.96 quotient( Y, X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14441, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.56/5.96 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.56/5.96 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.56/5.96 X, product( product( X, Y ), Z ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14445, [ =( difference( X, product( product( X, quotient( Y,
% 5.56/5.96 product( Z, X ) ) ), Z ) ), quotient( Y, X ) ) ] )
% 5.56/5.96 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, clause( 14441, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.56/5.96 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.56/5.96 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, product( Z, X ) )] ),
% 5.56/5.96 substitution( 1, [ :=( X, quotient( Y, product( Z, X ) ) ), :=( Y, Z ),
% 5.56/5.96 :=( Z, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 43, [ =( difference( Z, product( product( Z, quotient( X, product(
% 5.56/5.96 Y, Z ) ) ), Y ) ), quotient( X, Z ) ) ] )
% 5.56/5.96 , clause( 14445, [ =( difference( X, product( product( X, quotient( Y,
% 5.56/5.96 product( Z, X ) ) ), Z ) ), quotient( Y, X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14451, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.56/5.96 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.56/5.96 , clause( 6, [ =( quotient( product( Y, product( Z, X ) ), X ), difference(
% 5.56/5.96 X, product( product( X, Y ), Z ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14456, [ =( difference( X, product( product( X, Y ), quotient( Z, X
% 5.56/5.96 ) ) ), quotient( product( Y, Z ), X ) ) ] )
% 5.56/5.96 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, clause( 14451, [ =( difference( Z, product( product( Z, X ), Y ) ),
% 5.56/5.96 quotient( product( X, product( Y, Z ) ), Z ) ) ] )
% 5.56/5.96 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, Y ), :=( Y, quotient( Z, X ) ), :=( Z, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 44, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y )
% 5.56/5.96 ) ), quotient( product( Z, X ), Y ) ) ] )
% 5.56/5.96 , clause( 14456, [ =( difference( X, product( product( X, Y ), quotient( Z
% 5.56/5.96 , X ) ) ), quotient( product( Y, Z ), X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14461, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14462, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 5.56/5.96 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.56/5.96 , 0, clause( 14461, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 5.56/5.96 ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14463, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.56/5.96 , clause( 14462, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 47, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.56/5.96 , clause( 14463, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14465, [ =( eta( X ), product( i( X ), X ) ) ] )
% 5.56/5.96 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14468, [ =( eta( j( X ) ), product( X, j( X ) ) ) ] )
% 5.56/5.96 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14465, [ =( eta( X ), product( i( X ), X ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 5.56/5.96 )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14469, [ =( eta( j( X ) ), product( i( X ), X ) ) ] )
% 5.56/5.96 , clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.56/5.96 , 0, clause( 14468, [ =( eta( j( X ) ), product( X, j( X ) ) ) ] )
% 5.56/5.96 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14470, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.56/5.96 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.56/5.96 , 0, clause( 14469, [ =( eta( j( X ) ), product( i( X ), X ) ) ] )
% 5.56/5.96 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.56/5.96 , clause( 14470, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14473, [ =( difference( product( Z, X ), product( Z, product( X, Y
% 5.56/5.96 ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) )
% 5.56/5.96 , X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14478, [ =( difference( product( X, Y ), product( X, product( Y, i(
% 5.56/5.96 Y ) ) ) ), quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 5.56/5.96 , clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.56/5.96 , 0, clause( 14473, [ =( difference( product( Z, X ), product( Z, product(
% 5.56/5.96 X, Y ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z )
% 5.56/5.96 ) ] )
% 5.56/5.96 , 0, 15, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 5.56/5.96 :=( Y, i( Y ) ), :=( Z, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14480, [ =( difference( product( X, Y ), product( X, one ) ),
% 5.56/5.96 quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 5.56/5.96 , clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.56/5.96 , 0, clause( 14478, [ =( difference( product( X, Y ), product( X, product(
% 5.56/5.96 Y, i( Y ) ) ) ), quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 5.56/5.96 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14482, [ =( difference( product( X, Y ), product( X, one ) ),
% 5.56/5.96 quotient( difference( Y, X ), X ) ) ] )
% 5.56/5.96 , clause( 1, [ =( product( one, X ), X ) ] )
% 5.56/5.96 , 0, clause( 14480, [ =( difference( product( X, Y ), product( X, one ) ),
% 5.56/5.96 quotient( difference( Y, product( one, X ) ), X ) ) ] )
% 5.56/5.96 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14483, [ =( difference( product( X, Y ), X ), quotient( difference(
% 5.56/5.96 Y, X ), X ) ) ] )
% 5.56/5.96 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.56/5.96 , 0, clause( 14482, [ =( difference( product( X, Y ), product( X, one ) ),
% 5.56/5.96 quotient( difference( Y, X ), X ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14484, [ =( quotient( difference( Y, X ), X ), difference( product(
% 5.56/5.96 X, Y ), X ) ) ] )
% 5.56/5.96 , clause( 14483, [ =( difference( product( X, Y ), X ), quotient(
% 5.56/5.96 difference( Y, X ), X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 53, [ =( quotient( difference( X, Y ), Y ), difference( product( Y
% 5.56/5.96 , X ), Y ) ) ] )
% 5.56/5.96 , clause( 14484, [ =( quotient( difference( Y, X ), X ), difference(
% 5.56/5.96 product( X, Y ), X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14486, [ =( difference( product( Z, X ), product( Z, product( X, Y
% 5.56/5.96 ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) )
% 5.56/5.96 , X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14489, [ =( difference( product( X, Y ), product( X, product( Y,
% 5.56/5.96 difference( Y, Z ) ) ) ), quotient( difference( Y, product( Z, X ) ), X )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, clause( 14486, [ =( difference( product( Z, X ), product( Z, product(
% 5.56/5.96 X, Y ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z )
% 5.56/5.96 ) ] )
% 5.56/5.96 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 5.56/5.96 :=( X, Y ), :=( Y, difference( Y, Z ) ), :=( Z, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14491, [ =( difference( product( X, Y ), product( X, Z ) ),
% 5.56/5.96 quotient( difference( Y, product( Z, X ) ), X ) ) ] )
% 5.56/5.96 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, clause( 14489, [ =( difference( product( X, Y ), product( X, product(
% 5.56/5.96 Y, difference( Y, Z ) ) ) ), quotient( difference( Y, product( Z, X ) ),
% 5.56/5.96 X ) ) ] )
% 5.56/5.96 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14494, [ =( quotient( difference( Y, product( Z, X ) ), X ),
% 5.56/5.96 difference( product( X, Y ), product( X, Z ) ) ) ] )
% 5.56/5.96 , clause( 14491, [ =( difference( product( X, Y ), product( X, Z ) ),
% 5.56/5.96 quotient( difference( Y, product( Z, X ) ), X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 54, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 5.56/5.96 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 5.56/5.96 , clause( 14494, [ =( quotient( difference( Y, product( Z, X ) ), X ),
% 5.56/5.96 difference( product( X, Y ), product( X, Z ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14498, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 5.56/5.96 , clause( 47, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14500, [ =( i( j( X ) ), quotient( eta( X ), j( X ) ) ) ] )
% 5.56/5.96 , clause( 48, [ =( eta( j( X ) ), eta( X ) ) ] )
% 5.56/5.96 , 0, clause( 14498, [ =( i( X ), quotient( eta( X ), X ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 5.56/5.96 )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14501, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 5.56/5.96 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14500, [ =( i( j( X ) ), quotient( eta( X ), j( X ) ) ) ] )
% 5.56/5.96 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14502, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.56/5.96 , clause( 14501, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 56, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.56/5.96 , clause( 14502, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14505, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.56/5.96 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.56/5.96 , 0, clause( 10, [ =( product( X, j( X ) ), product( i( X ), X ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 61, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.56/5.96 , clause( 14505, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14508, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.56/5.96 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14509, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.56/5.96 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, clause( 14508, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.56/5.96 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 71, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.56/5.96 , clause( 14509, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14512, [ =( product( j( j( X ) ), Y ), product( X, product( eta( X
% 5.56/5.96 ), Y ) ) ) ] )
% 5.56/5.96 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 5.56/5.96 ), Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14515, [ =( product( j( j( X ) ), one ), product( X, eta( X ) ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.56/5.96 , 0, clause( 14512, [ =( product( j( j( X ) ), Y ), product( X, product(
% 5.56/5.96 eta( X ), Y ) ) ) ] )
% 5.56/5.96 , 0, 8, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 5.56/5.96 X ), :=( Y, one )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14517, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 5.56/5.96 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.56/5.96 , 0, clause( 14515, [ =( product( j( j( X ) ), one ), product( X, eta( X )
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , 0, 1, substitution( 0, [ :=( X, j( j( X ) ) )] ), substitution( 1, [ :=(
% 5.56/5.96 X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14518, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.56/5.96 , clause( 14517, [ =( j( j( X ) ), product( X, eta( X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 87, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.56/5.96 , clause( 14518, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14520, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14521, [ =( X, quotient( j( j( X ) ), eta( X ) ) ) ] )
% 5.56/5.96 , clause( 87, [ =( product( X, eta( X ) ), j( j( X ) ) ) ] )
% 5.56/5.96 , 0, clause( 14520, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, eta( X ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14522, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.56/5.96 , clause( 14521, [ =( X, quotient( j( j( X ) ), eta( X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 93, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.56/5.96 , clause( 14522, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14524, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.56/5.96 , clause( 18, [ =( quotient( product( X, Y ), X ), t( X, Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14525, [ =( t( X, product( Y, eta( X ) ) ), quotient( product(
% 5.56/5.96 product( X, Y ), eta( X ) ), X ) ) ] )
% 5.56/5.96 , clause( 14, [ =( product( X, product( Y, eta( X ) ) ), product( product(
% 5.56/5.96 X, Y ), eta( X ) ) ) ] )
% 5.56/5.96 , 0, clause( 14524, [ =( t( X, Y ), quotient( product( X, Y ), X ) ) ] )
% 5.56/5.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, product( Y, eta( X ) ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14526, [ =( quotient( product( product( X, Y ), eta( X ) ), X ), t(
% 5.56/5.96 X, product( Y, eta( X ) ) ) ) ] )
% 5.56/5.96 , clause( 14525, [ =( t( X, product( Y, eta( X ) ) ), quotient( product(
% 5.56/5.96 product( X, Y ), eta( X ) ), X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 104, [ =( quotient( product( product( X, Y ), eta( X ) ), X ), t( X
% 5.56/5.96 , product( Y, eta( X ) ) ) ) ] )
% 5.56/5.96 , clause( 14526, [ =( quotient( product( product( X, Y ), eta( X ) ), X ),
% 5.56/5.96 t( X, product( Y, eta( X ) ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14528, [ =( product( product( eta( X ), Y ), Z ), product( eta( X )
% 5.56/5.96 , product( Y, Z ) ) ) ] )
% 5.56/5.96 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.56/5.96 eta( X ), Y ), Z ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14530, [ =( product( product( eta( X ), j( Y ) ), Y ), product( eta(
% 5.56/5.96 X ), one ) ) ] )
% 5.56/5.96 , clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.56/5.96 , 0, clause( 14528, [ =( product( product( eta( X ), Y ), Z ), product( eta(
% 5.56/5.96 X ), product( Y, Z ) ) ) ] )
% 5.56/5.96 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, j( Y ) ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14531, [ =( product( product( eta( X ), j( Y ) ), Y ), eta( X ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , clause( 0, [ =( product( X, one ), X ) ] )
% 5.56/5.96 , 0, clause( 14530, [ =( product( product( eta( X ), j( Y ) ), Y ), product(
% 5.56/5.96 eta( X ), one ) ) ] )
% 5.56/5.96 , 0, 8, substitution( 0, [ :=( X, eta( X ) )] ), substitution( 1, [ :=( X,
% 5.56/5.96 X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 130, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , clause( 14531, [ =( product( product( eta( X ), j( Y ) ), Y ), eta( X ) )
% 5.56/5.96 ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14534, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14535, [ =( j( product( X, Y ) ), quotient( j( Y ), X ) ) ] )
% 5.56/5.96 , clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.56/5.96 , 0, clause( 14534, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, j( product( X, Y ) ) ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14536, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 14535, [ =( j( product( X, Y ) ), quotient( j( Y ), X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 14536, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14538, [ =( j( Y ), product( j( product( X, Y ) ), X ) ) ] )
% 5.56/5.96 , clause( 23, [ =( product( j( product( X, Y ) ), X ), j( Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14539, [ =( j( difference( X, Y ) ), product( j( Y ), X ) ) ] )
% 5.56/5.96 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, clause( 14538, [ =( j( Y ), product( j( product( X, Y ) ), X ) ) ] )
% 5.56/5.96 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, difference( X, Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14540, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 14539, [ =( j( difference( X, Y ) ), product( j( Y ), X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 14540, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14541, [ =( j( product( Y, X ) ), quotient( j( X ), Y ) ) ] )
% 5.56/5.96 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14543, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.56/5.96 , clause( 93, [ =( quotient( j( j( X ) ), eta( X ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14541, [ =( j( product( Y, X ) ), quotient( j( X ), Y ) ) ] )
% 5.56/5.96 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, j( X )
% 5.56/5.96 ), :=( Y, eta( X ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.56/5.96 , clause( 14543, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14546, [ =( eta( X ), product( X, j( X ) ) ) ] )
% 5.56/5.96 , clause( 61, [ =( product( X, j( X ) ), eta( X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14548, [ =( eta( product( eta( X ), j( X ) ) ), product( product(
% 5.56/5.96 eta( X ), j( X ) ), X ) ) ] )
% 5.56/5.96 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14546, [ =( eta( X ), product( X, j( X ) ) ) ] )
% 5.56/5.96 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 5.56/5.96 product( eta( X ), j( X ) ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14549, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.56/5.96 , clause( 130, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , 0, clause( 14548, [ =( eta( product( eta( X ), j( X ) ) ), product(
% 5.56/5.96 product( eta( X ), j( X ) ), X ) ) ] )
% 5.56/5.96 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 185, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.56/5.96 , clause( 14549, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14552, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 5.56/5.96 , clause( 56, [ =( quotient( eta( X ), j( X ) ), X ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14555, [ =( product( eta( X ), j( X ) ), quotient( eta( product(
% 5.56/5.96 eta( X ), j( X ) ) ), X ) ) ] )
% 5.56/5.96 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14552, [ =( X, quotient( eta( X ), j( X ) ) ) ] )
% 5.56/5.96 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 5.56/5.96 product( eta( X ), j( X ) ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14556, [ =( product( eta( X ), j( X ) ), quotient( eta( X ), X ) )
% 5.56/5.96 ] )
% 5.56/5.96 , clause( 185, [ =( eta( product( eta( X ), j( X ) ) ), eta( X ) ) ] )
% 5.56/5.96 , 0, clause( 14555, [ =( product( eta( X ), j( X ) ), quotient( eta(
% 5.56/5.96 product( eta( X ), j( X ) ) ), X ) ) ] )
% 5.56/5.96 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14557, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.56/5.96 , clause( 47, [ =( quotient( eta( X ), X ), i( X ) ) ] )
% 5.56/5.96 , 0, clause( 14556, [ =( product( eta( X ), j( X ) ), quotient( eta( X ), X
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.56/5.96 , clause( 14557, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14560, [ =( i( Y ), product( X, i( product( Y, X ) ) ) ) ] )
% 5.56/5.96 , clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14561, [ =( i( quotient( X, Y ) ), product( Y, i( X ) ) ) ] )
% 5.56/5.96 , clause( 5, [ =( product( quotient( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, clause( 14560, [ =( i( Y ), product( X, i( product( Y, X ) ) ) ) ] )
% 5.56/5.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, Y ), :=( Y, quotient( X, Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14562, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 14561, [ =( i( quotient( X, Y ) ), product( Y, i( X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 14562, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14564, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14567, [ =( X, difference( j( Y ), j( difference( X, Y ) ) ) ) ] )
% 5.56/5.96 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14564, [ =( Y, difference( X, product( X, Y ) ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, j( Y ) ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14568, [ =( difference( j( Y ), j( difference( X, Y ) ) ), X ) ] )
% 5.56/5.96 , clause( 14567, [ =( X, difference( j( Y ), j( difference( X, Y ) ) ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.56/5.96 , clause( 14568, [ =( difference( j( Y ), j( difference( X, Y ) ) ), X ) ]
% 5.56/5.96 )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14570, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) ) ] )
% 5.56/5.96 , clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14571, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ] )
% 5.56/5.96 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.56/5.96 , 0, clause( 14570, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) )
% 5.56/5.96 ] )
% 5.56/5.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, quotient( X, Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14572, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.56/5.96 , clause( 14571, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.56/5.96 , clause( 14572, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14574, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ] )
% 5.56/5.96 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14577, [ =( quotient( X, product( eta( Y ), j( Y ) ) ), difference(
% 5.56/5.96 j( X ), Y ) ) ] )
% 5.56/5.96 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14574, [ =( quotient( X, Y ), difference( j( X ), j( Y ) ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, product( eta( Y ), j( Y ) ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14578, [ =( quotient( X, i( Y ) ), difference( j( X ), Y ) ) ] )
% 5.56/5.96 , clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.56/5.96 , 0, clause( 14577, [ =( quotient( X, product( eta( Y ), j( Y ) ) ),
% 5.56/5.96 difference( j( X ), Y ) ) ] )
% 5.56/5.96 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.56/5.96 , clause( 14578, [ =( quotient( X, i( Y ) ), difference( j( X ), Y ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14581, [ =( difference( product( Z, X ), product( Z, product( X, Y
% 5.56/5.96 ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , clause( 7, [ =( quotient( difference( Y, product( product( Y, Z ), X ) )
% 5.56/5.96 , X ), difference( product( X, Y ), product( X, product( Y, Z ) ) ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14586, [ =( difference( product( j( X ), X ), product( j( X ),
% 5.56/5.96 product( X, Y ) ) ), quotient( quotient( Y, X ), j( X ) ) ) ] )
% 5.56/5.96 , clause( 39, [ =( difference( X, product( product( X, Y ), j( X ) ) ),
% 5.56/5.96 quotient( Y, X ) ) ] )
% 5.56/5.96 , 0, clause( 14581, [ =( difference( product( Z, X ), product( Z, product(
% 5.56/5.96 X, Y ) ) ), quotient( difference( X, product( product( X, Y ), Z ) ), Z )
% 5.56/5.96 ) ] )
% 5.56/5.96 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Y ), :=( Z, j( X ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14587, [ =( difference( one, product( j( X ), product( X, Y ) ) ),
% 5.56/5.96 quotient( quotient( Y, X ), j( X ) ) ) ] )
% 5.56/5.96 , clause( 25, [ =( product( j( X ), X ), one ) ] )
% 5.56/5.96 , 0, clause( 14586, [ =( difference( product( j( X ), X ), product( j( X )
% 5.56/5.96 , product( X, Y ) ) ), quotient( quotient( Y, X ), j( X ) ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14588, [ =( product( j( X ), product( X, Y ) ), quotient( quotient(
% 5.56/5.96 Y, X ), j( X ) ) ) ] )
% 5.56/5.96 , clause( 28, [ =( difference( one, X ), X ) ] )
% 5.56/5.96 , 0, clause( 14587, [ =( difference( one, product( j( X ), product( X, Y )
% 5.56/5.96 ) ), quotient( quotient( Y, X ), j( X ) ) ) ] )
% 5.56/5.96 , 0, 1, substitution( 0, [ :=( X, product( j( X ), product( X, Y ) ) )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14589, [ =( j( difference( product( X, Y ), X ) ), quotient(
% 5.56/5.96 quotient( Y, X ), j( X ) ) ) ] )
% 5.56/5.96 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14588, [ =( product( j( X ), product( X, Y ) ), quotient(
% 5.56/5.96 quotient( Y, X ), j( X ) ) ) ] )
% 5.56/5.96 , 0, 1, substitution( 0, [ :=( X, product( X, Y ) ), :=( Y, X )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14590, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.56/5.96 product( X, Y ), X ) ) ) ] )
% 5.56/5.96 , clause( 14589, [ =( j( difference( product( X, Y ), X ) ), quotient(
% 5.56/5.96 quotient( Y, X ), j( X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 364, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.56/5.96 product( X, Y ), X ) ) ) ] )
% 5.56/5.96 , clause( 14590, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.56/5.96 product( X, Y ), X ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14592, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14595, [ =( product( product( X, quotient( Y, product( Z, X ) ) ),
% 5.56/5.96 Z ), product( X, quotient( Y, X ) ) ) ] )
% 5.56/5.96 , clause( 43, [ =( difference( Z, product( product( Z, quotient( X, product(
% 5.56/5.96 Y, Z ) ) ), Y ) ), quotient( X, Z ) ) ] )
% 5.56/5.96 , 0, clause( 14592, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, product( product( X, quotient( Y,
% 5.56/5.96 product( Z, X ) ) ), Z ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 406, [ =( product( product( X, quotient( Y, product( Z, X ) ) ), Z
% 5.56/5.96 ), product( X, quotient( Y, X ) ) ) ] )
% 5.56/5.96 , clause( 14595, [ =( product( product( X, quotient( Y, product( Z, X ) ) )
% 5.56/5.96 , Z ), product( X, quotient( Y, X ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14598, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 2, [ =( product( X, difference( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14603, [ =( product( product( X, Y ), quotient( Z, X ) ), product(
% 5.56/5.96 X, quotient( product( Y, Z ), X ) ) ) ] )
% 5.56/5.96 , clause( 44, [ =( difference( Y, product( product( Y, Z ), quotient( X, Y
% 5.56/5.96 ) ) ), quotient( product( Z, X ), Y ) ) ] )
% 5.56/5.96 , 0, clause( 14598, [ =( Y, product( X, difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, product( product( X, Y ), quotient(
% 5.56/5.96 Z, X ) ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14604, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.56/5.96 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.56/5.96 , clause( 14603, [ =( product( product( X, Y ), quotient( Z, X ) ), product(
% 5.56/5.96 X, quotient( product( Y, Z ), X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 415, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.56/5.96 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.56/5.96 , clause( 14604, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.56/5.96 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14606, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14607, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.56/5.96 ] )
% 5.56/5.96 , clause( 130, [ =( product( product( eta( Y ), j( X ) ), X ), eta( Y ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , 0, clause( 14606, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, product( eta( X ), j( Y ) ) ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) ) ]
% 5.56/5.96 )
% 5.56/5.96 , clause( 14607, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y )
% 5.56/5.96 ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14610, [ =( i( Y ), product( X, i( product( Y, X ) ) ) ) ] )
% 5.56/5.96 , clause( 22, [ =( product( X, i( product( Y, X ) ) ), i( Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14614, [ =( i( eta( X ) ), product( j( Y ), i( quotient( eta( X ),
% 5.56/5.96 Y ) ) ) ) ] )
% 5.56/5.96 , clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.56/5.96 ] )
% 5.56/5.96 , 0, clause( 14610, [ =( i( Y ), product( X, i( product( Y, X ) ) ) ) ] )
% 5.56/5.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, j( Y ) ), :=( Y, eta( X ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14615, [ =( i( eta( X ) ), i( quotient( quotient( eta( X ), Y ), j(
% 5.56/5.96 Y ) ) ) ) ] )
% 5.56/5.96 , clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14614, [ =( i( eta( X ) ), product( j( Y ), i( quotient( eta(
% 5.56/5.96 X ), Y ) ) ) ) ] )
% 5.56/5.96 , 0, 4, substitution( 0, [ :=( X, quotient( eta( X ), Y ) ), :=( Y, j( Y )
% 5.56/5.96 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14616, [ =( i( eta( X ) ), i( j( difference( product( Y, eta( X ) )
% 5.56/5.96 , Y ) ) ) ) ] )
% 5.56/5.96 , clause( 364, [ =( quotient( quotient( Y, X ), j( X ) ), j( difference(
% 5.56/5.96 product( X, Y ), X ) ) ) ] )
% 5.56/5.96 , 0, clause( 14615, [ =( i( eta( X ) ), i( quotient( quotient( eta( X ), Y
% 5.56/5.96 ), j( Y ) ) ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, eta( X ) )] ), substitution(
% 5.56/5.96 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14617, [ =( i( eta( X ) ), difference( product( Y, eta( X ) ), Y )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14616, [ =( i( eta( X ) ), i( j( difference( product( Y, eta(
% 5.56/5.96 X ) ), Y ) ) ) ) ] )
% 5.56/5.96 , 0, 4, substitution( 0, [ :=( X, difference( product( Y, eta( X ) ), Y ) )] )
% 5.56/5.96 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14618, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 14617, [ =( i( eta( X ) ), difference( product( Y, eta( X ) ), Y
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 439, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) ) )
% 5.56/5.96 ] )
% 5.56/5.96 , clause( 14618, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X )
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14620, [ =( product( j( j( X ) ), Y ), product( X, product( eta( X
% 5.56/5.96 ), Y ) ) ) ] )
% 5.56/5.96 , clause( 13, [ =( product( X, product( eta( X ), Y ) ), product( j( j( X )
% 5.56/5.96 ), Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14623, [ =( product( j( j( X ) ), j( Y ) ), product( X, quotient(
% 5.56/5.96 eta( X ), Y ) ) ) ] )
% 5.56/5.96 , clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.56/5.96 ] )
% 5.56/5.96 , 0, clause( 14620, [ =( product( j( j( X ) ), Y ), product( X, product(
% 5.56/5.96 eta( X ), Y ) ) ) ] )
% 5.56/5.96 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, j( Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14624, [ =( j( difference( j( Y ), j( X ) ) ), product( X, quotient(
% 5.56/5.96 eta( X ), Y ) ) ) ] )
% 5.56/5.96 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14623, [ =( product( j( j( X ) ), j( Y ) ), product( X,
% 5.56/5.96 quotient( eta( X ), Y ) ) ) ] )
% 5.56/5.96 , 0, 1, substitution( 0, [ :=( X, j( Y ) ), :=( Y, j( X ) )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14625, [ =( j( quotient( X, Y ) ), product( Y, quotient( eta( Y ),
% 5.56/5.96 X ) ) ) ] )
% 5.56/5.96 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.56/5.96 , 0, clause( 14624, [ =( j( difference( j( Y ), j( X ) ) ), product( X,
% 5.56/5.96 quotient( eta( X ), Y ) ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, Y ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14626, [ =( product( Y, quotient( eta( Y ), X ) ), j( quotient( X,
% 5.56/5.96 Y ) ) ) ] )
% 5.56/5.96 , clause( 14625, [ =( j( quotient( X, Y ) ), product( Y, quotient( eta( Y )
% 5.56/5.96 , X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 444, [ =( product( X, quotient( eta( X ), Y ) ), j( quotient( Y, X
% 5.56/5.96 ) ) ) ] )
% 5.56/5.96 , clause( 14626, [ =( product( Y, quotient( eta( Y ), X ) ), j( quotient( X
% 5.56/5.96 , Y ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14628, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) ) ] )
% 5.56/5.96 , clause( 306, [ =( difference( j( X ), j( difference( Y, X ) ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14631, [ =( product( X, eta( Y ) ), difference( j( X ), j( i( eta(
% 5.56/5.96 Y ) ) ) ) ) ] )
% 5.56/5.96 , clause( 439, [ =( difference( product( Y, eta( X ) ), Y ), i( eta( X ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , 0, clause( 14628, [ =( Y, difference( j( X ), j( difference( Y, X ) ) ) )
% 5.56/5.96 ] )
% 5.56/5.96 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, product( X, eta( Y ) ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14632, [ =( product( X, eta( Y ) ), quotient( X, i( eta( Y ) ) ) )
% 5.56/5.96 ] )
% 5.56/5.96 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.56/5.96 , 0, clause( 14631, [ =( product( X, eta( Y ) ), difference( j( X ), j( i(
% 5.56/5.96 eta( Y ) ) ) ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, i( eta( Y ) ) )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14633, [ =( product( X, eta( Y ) ), difference( j( X ), eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 332, [ =( quotient( Y, i( X ) ), difference( j( Y ), X ) ) ] )
% 5.56/5.96 , 0, clause( 14632, [ =( product( X, eta( Y ) ), quotient( X, i( eta( Y ) )
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, eta( Y ) ), :=( Y, X )] ), substitution(
% 5.56/5.96 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14634, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 14633, [ =( product( X, eta( Y ) ), difference( j( X ), eta( Y )
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) ) )
% 5.56/5.96 ] )
% 5.56/5.96 , clause( 14634, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y )
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14636, [ =( product( X, eta( Y ) ), difference( j( X ), eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 450, [ =( difference( j( X ), eta( Y ) ), product( X, eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14638, [ =( product( product( eta( X ), j( X ) ), eta( Y ) ),
% 5.56/5.96 difference( X, eta( Y ) ) ) ] )
% 5.56/5.96 , clause( 173, [ =( j( product( eta( X ), j( X ) ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14636, [ =( product( X, eta( Y ) ), difference( j( X ), eta( Y
% 5.56/5.96 ) ) ) ] )
% 5.56/5.96 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 5.56/5.96 product( eta( X ), j( X ) ) ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14639, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 186, [ =( product( eta( X ), j( X ) ), i( X ) ) ] )
% 5.56/5.96 , 0, clause( 14638, [ =( product( product( eta( X ), j( X ) ), eta( Y ) ),
% 5.56/5.96 difference( X, eta( Y ) ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) ) )
% 5.56/5.96 ] )
% 5.56/5.96 , clause( 14639, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y )
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14642, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14644, [ =( i( X ), quotient( difference( X, eta( Y ) ), eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , 0, clause( 14642, [ =( X, quotient( product( X, Y ), Y ) ) ] )
% 5.56/5.96 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, i( X ) ), :=( Y, eta( Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14645, [ =( i( X ), difference( product( eta( Y ), X ), eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 53, [ =( quotient( difference( X, Y ), Y ), difference( product(
% 5.56/5.96 Y, X ), Y ) ) ] )
% 5.56/5.96 , 0, clause( 14644, [ =( i( X ), quotient( difference( X, eta( Y ) ), eta(
% 5.56/5.96 Y ) ) ) ] )
% 5.56/5.96 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, eta( Y ) )] ), substitution(
% 5.56/5.96 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14646, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 14645, [ =( i( X ), difference( product( eta( Y ), X ), eta( Y )
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 470, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X ) )
% 5.56/5.96 ] )
% 5.56/5.96 , clause( 14646, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X
% 5.56/5.96 ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14648, [ =( i( Y ), difference( product( eta( X ), Y ), eta( X ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , clause( 470, [ =( difference( product( eta( Y ), X ), eta( Y ) ), i( X )
% 5.56/5.96 ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14649, [ =( i( product( X, Y ) ), difference( product( product( eta(
% 5.56/5.96 Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.56/5.96 , clause( 15, [ =( product( eta( X ), product( Y, Z ) ), product( product(
% 5.56/5.96 eta( X ), Y ), Z ) ) ] )
% 5.56/5.96 , 0, clause( 14648, [ =( i( Y ), difference( product( eta( X ), Y ), eta( X
% 5.56/5.96 ) ) ) ] )
% 5.56/5.96 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.56/5.96 substitution( 1, [ :=( X, Z ), :=( Y, product( X, Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14650, [ =( difference( product( product( eta( Z ), X ), Y ), eta(
% 5.56/5.96 Z ) ), i( product( X, Y ) ) ) ] )
% 5.56/5.96 , clause( 14649, [ =( i( product( X, Y ) ), difference( product( product(
% 5.56/5.96 eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 475, [ =( difference( product( product( eta( X ), Y ), Z ), eta( X
% 5.56/5.96 ) ), i( product( Y, Z ) ) ) ] )
% 5.56/5.96 , clause( 14650, [ =( difference( product( product( eta( Z ), X ), Y ), eta(
% 5.56/5.96 Z ) ), i( product( X, Y ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14652, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 5.56/5.96 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 5.56/5.96 , clause( 54, [ =( quotient( difference( X, product( Y, Z ) ), Z ),
% 5.56/5.96 difference( product( Z, X ), product( Z, Y ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14657, [ =( difference( product( X, Y ), product( X, i( X ) ) ),
% 5.56/5.96 quotient( difference( Y, eta( X ) ), X ) ) ] )
% 5.56/5.96 , clause( 11, [ =( product( i( X ), X ), eta( X ) ) ] )
% 5.56/5.96 , 0, clause( 14652, [ =( difference( product( Z, X ), product( Z, Y ) ),
% 5.56/5.96 quotient( difference( X, product( Y, Z ) ), Z ) ) ] )
% 5.56/5.96 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 5.56/5.96 :=( Y, i( X ) ), :=( Z, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14658, [ =( difference( product( X, Y ), one ), quotient(
% 5.56/5.96 difference( Y, eta( X ) ), X ) ) ] )
% 5.56/5.96 , clause( 27, [ =( product( X, i( X ) ), one ) ] )
% 5.56/5.96 , 0, clause( 14657, [ =( difference( product( X, Y ), product( X, i( X ) )
% 5.56/5.96 ), quotient( difference( Y, eta( X ) ), X ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.56/5.96 :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14659, [ =( i( product( X, Y ) ), quotient( difference( Y, eta( X )
% 5.56/5.96 ), X ) ) ] )
% 5.56/5.96 , clause( 8, [ =( difference( X, one ), i( X ) ) ] )
% 5.56/5.96 , 0, clause( 14658, [ =( difference( product( X, Y ), one ), quotient(
% 5.56/5.96 difference( Y, eta( X ) ), X ) ) ] )
% 5.56/5.96 , 0, 1, substitution( 0, [ :=( X, product( X, Y ) )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14660, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X
% 5.56/5.96 , Y ) ) ) ] )
% 5.56/5.96 , clause( 14659, [ =( i( product( X, Y ) ), quotient( difference( Y, eta( X
% 5.56/5.96 ) ), X ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 520, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X,
% 5.56/5.96 Y ) ) ) ] )
% 5.56/5.96 , clause( 14660, [ =( quotient( difference( Y, eta( X ) ), X ), i( product(
% 5.56/5.96 X, Y ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14662, [ =( t( X, product( Y, eta( X ) ) ), quotient( product(
% 5.56/5.96 product( X, Y ), eta( X ) ), X ) ) ] )
% 5.56/5.96 , clause( 104, [ =( quotient( product( product( X, Y ), eta( X ) ), X ), t(
% 5.56/5.96 X, product( Y, eta( X ) ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14667, [ =( t( X, product( i( Y ), eta( X ) ) ), quotient( product(
% 5.56/5.96 i( quotient( Y, X ) ), eta( X ) ), X ) ) ] )
% 5.56/5.96 , clause( 271, [ =( product( Y, i( X ) ), i( quotient( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14662, [ =( t( X, product( Y, eta( X ) ) ), quotient( product(
% 5.56/5.96 product( X, Y ), eta( X ) ), X ) ) ] )
% 5.56/5.96 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, i( Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14669, [ =( t( X, product( i( Y ), eta( X ) ) ), quotient(
% 5.56/5.96 difference( quotient( Y, X ), eta( X ) ), X ) ) ] )
% 5.56/5.96 , clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , 0, clause( 14667, [ =( t( X, product( i( Y ), eta( X ) ) ), quotient(
% 5.56/5.96 product( i( quotient( Y, X ) ), eta( X ) ), X ) ) ] )
% 5.56/5.96 , 0, 9, substitution( 0, [ :=( X, quotient( Y, X ) ), :=( Y, X )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14671, [ =( t( X, product( i( Y ), eta( X ) ) ), i( product( X,
% 5.56/5.96 quotient( Y, X ) ) ) ) ] )
% 5.56/5.96 , clause( 520, [ =( quotient( difference( Y, eta( X ) ), X ), i( product( X
% 5.56/5.96 , Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14669, [ =( t( X, product( i( Y ), eta( X ) ) ), quotient(
% 5.56/5.96 difference( quotient( Y, X ), eta( X ) ), X ) ) ] )
% 5.56/5.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, quotient( Y, X ) )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14672, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.56/5.96 quotient( Y, X ) ) ) ) ] )
% 5.56/5.96 , clause( 458, [ =( product( i( X ), eta( Y ) ), difference( X, eta( Y ) )
% 5.56/5.96 ) ] )
% 5.56/5.96 , 0, clause( 14671, [ =( t( X, product( i( Y ), eta( X ) ) ), i( product( X
% 5.56/5.96 , quotient( Y, X ) ) ) ) ] )
% 5.56/5.96 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 869, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.56/5.96 quotient( Y, X ) ) ) ) ] )
% 5.56/5.96 , clause( 14672, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.56/5.96 quotient( Y, X ) ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.56/5.96 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14675, [ =( i( product( Y, Z ) ), difference( product( product( eta(
% 5.56/5.96 X ), Y ), Z ), eta( X ) ) ) ] )
% 5.56/5.96 , clause( 475, [ =( difference( product( product( eta( X ), Y ), Z ), eta(
% 5.56/5.96 X ) ), i( product( Y, Z ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14679, [ =( i( product( j( X ), Y ) ), difference( product(
% 5.56/5.96 quotient( eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.56/5.96 , clause( 435, [ =( product( eta( X ), j( Y ) ), quotient( eta( X ), Y ) )
% 5.56/5.96 ] )
% 5.56/5.96 , 0, clause( 14675, [ =( i( product( Y, Z ) ), difference( product( product(
% 5.56/5.96 eta( X ), Y ), Z ), eta( X ) ) ) ] )
% 5.56/5.96 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, Z ), :=( Y, j( X ) ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14680, [ =( i( j( difference( Y, X ) ) ), difference( product(
% 5.56/5.96 quotient( eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.56/5.96 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14679, [ =( i( product( j( X ), Y ) ), difference( product(
% 5.56/5.96 quotient( eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14681, [ =( difference( X, Y ), difference( product( quotient( eta(
% 5.56/5.96 Z ), Y ), X ), eta( Z ) ) ) ] )
% 5.56/5.96 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14680, [ =( i( j( difference( Y, X ) ) ), difference( product(
% 5.56/5.96 quotient( eta( Z ), X ), Y ), eta( Z ) ) ) ] )
% 5.56/5.96 , 0, 1, substitution( 0, [ :=( X, difference( X, Y ) )] ), substitution( 1
% 5.56/5.96 , [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14682, [ =( difference( product( quotient( eta( Z ), Y ), X ), eta(
% 5.56/5.96 Z ) ), difference( X, Y ) ) ] )
% 5.56/5.96 , clause( 14681, [ =( difference( X, Y ), difference( product( quotient(
% 5.56/5.96 eta( Z ), Y ), X ), eta( Z ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 7793, [ =( difference( product( quotient( eta( X ), Y ), Z ), eta(
% 5.56/5.96 X ) ), difference( Z, Y ) ) ] )
% 5.56/5.96 , clause( 14682, [ =( difference( product( quotient( eta( Z ), Y ), X ),
% 5.56/5.96 eta( Z ) ), difference( X, Y ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14684, [ =( i( product( X, quotient( Y, X ) ) ), t( X, difference(
% 5.56/5.96 Y, eta( X ) ) ) ) ] )
% 5.56/5.96 , clause( 869, [ =( t( X, difference( Y, eta( X ) ) ), i( product( X,
% 5.56/5.96 quotient( Y, X ) ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14689, [ =( i( product( X, quotient( product( quotient( eta( X ), Y
% 5.56/5.96 ), Z ), X ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.56/5.96 , clause( 7793, [ =( difference( product( quotient( eta( X ), Y ), Z ), eta(
% 5.56/5.96 X ) ), difference( Z, Y ) ) ] )
% 5.56/5.96 , 0, clause( 14684, [ =( i( product( X, quotient( Y, X ) ) ), t( X,
% 5.56/5.96 difference( Y, eta( X ) ) ) ) ] )
% 5.56/5.96 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, product( quotient( eta( X ), Y ), Z
% 5.56/5.96 ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14690, [ =( i( product( product( X, quotient( eta( X ), Y ) ),
% 5.56/5.96 quotient( Z, X ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.56/5.96 , clause( 415, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.56/5.96 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.56/5.96 , 0, clause( 14689, [ =( i( product( X, quotient( product( quotient( eta( X
% 5.56/5.96 ), Y ), Z ), X ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, quotient( eta( X ), Y ) ),
% 5.56/5.96 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14691, [ =( i( product( j( quotient( Y, X ) ), quotient( Z, X ) ) )
% 5.56/5.96 , t( X, difference( Z, Y ) ) ) ] )
% 5.56/5.96 , clause( 444, [ =( product( X, quotient( eta( X ), Y ) ), j( quotient( Y,
% 5.56/5.96 X ) ) ) ] )
% 5.56/5.96 , 0, clause( 14690, [ =( i( product( product( X, quotient( eta( X ), Y ) )
% 5.56/5.96 , quotient( Z, X ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.56/5.96 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14692, [ =( i( j( difference( quotient( Z, Y ), quotient( X, Y ) )
% 5.56/5.96 ) ), t( Y, difference( Z, X ) ) ) ] )
% 5.56/5.96 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14691, [ =( i( product( j( quotient( Y, X ) ), quotient( Z, X
% 5.56/5.96 ) ) ), t( X, difference( Z, Y ) ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, quotient( Z, Y ) ), :=( Y, quotient( X, Y
% 5.56/5.96 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14693, [ =( difference( quotient( X, Y ), quotient( Z, Y ) ), t( Y
% 5.56/5.96 , difference( X, Z ) ) ) ] )
% 5.56/5.96 , clause( 33, [ =( i( j( X ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14692, [ =( i( j( difference( quotient( Z, Y ), quotient( X, Y
% 5.56/5.96 ) ) ) ), t( Y, difference( Z, X ) ) ) ] )
% 5.56/5.96 , 0, 1, substitution( 0, [ :=( X, difference( quotient( X, Y ), quotient( Z
% 5.56/5.96 , Y ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 12888, [ =( difference( quotient( Z, X ), quotient( Y, X ) ), t( X
% 5.56/5.96 , difference( Z, Y ) ) ) ] )
% 5.56/5.96 , clause( 14693, [ =( difference( quotient( X, Y ), quotient( Z, Y ) ), t(
% 5.56/5.96 Y, difference( X, Z ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14696, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 5.56/5.96 , clause( 35, [ =( quotient( Y, difference( X, Y ) ), X ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14701, [ =( quotient( X, Y ), quotient( quotient( Z, Y ), t( Y,
% 5.56/5.96 difference( X, Z ) ) ) ) ] )
% 5.56/5.96 , clause( 12888, [ =( difference( quotient( Z, X ), quotient( Y, X ) ), t(
% 5.56/5.96 X, difference( Z, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14696, [ =( Y, quotient( X, difference( Y, X ) ) ) ] )
% 5.56/5.96 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.56/5.96 substitution( 1, [ :=( X, quotient( Z, Y ) ), :=( Y, quotient( X, Y ) )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14702, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z ) )
% 5.56/5.96 ), quotient( X, Y ) ) ] )
% 5.56/5.96 , clause( 14701, [ =( quotient( X, Y ), quotient( quotient( Z, Y ), t( Y,
% 5.56/5.96 difference( X, Z ) ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 12896, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z ) )
% 5.56/5.96 ), quotient( X, Y ) ) ] )
% 5.56/5.96 , clause( 14702, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z )
% 5.56/5.96 ) ), quotient( X, Y ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14704, [ =( quotient( Z, Y ), quotient( quotient( X, Y ), t( Y,
% 5.56/5.96 difference( Z, X ) ) ) ) ] )
% 5.56/5.96 , clause( 12896, [ =( quotient( quotient( Z, Y ), t( Y, difference( X, Z )
% 5.56/5.96 ) ), quotient( X, Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14707, [ =( quotient( quotient( X, Y ), Z ), quotient( quotient( X
% 5.56/5.96 , Z ), t( Z, Y ) ) ) ] )
% 5.56/5.96 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.56/5.96 , 0, clause( 14704, [ =( quotient( Z, Y ), quotient( quotient( X, Y ), t( Y
% 5.56/5.96 , difference( Z, X ) ) ) ) ] )
% 5.56/5.96 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Z ), :=( Z, quotient( X, Y ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14708, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.56/5.96 quotient( X, Y ), Z ) ) ] )
% 5.56/5.96 , clause( 14707, [ =( quotient( quotient( X, Y ), Z ), quotient( quotient(
% 5.56/5.96 X, Z ), t( Z, Y ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 12909, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.56/5.96 quotient( X, Y ), Z ) ) ] )
% 5.56/5.96 , clause( 14708, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.56/5.96 quotient( X, Y ), Z ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14710, [ =( quotient( quotient( X, Z ), Y ), quotient( quotient( X
% 5.56/5.96 , Y ), t( Y, Z ) ) ) ] )
% 5.56/5.96 , clause( 12909, [ =( quotient( quotient( X, Z ), t( Z, Y ) ), quotient(
% 5.56/5.96 quotient( X, Y ), Z ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14712, [ =( quotient( quotient( product( X, Y ), Z ), Y ), quotient(
% 5.56/5.96 X, t( Y, Z ) ) ) ] )
% 5.56/5.96 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, clause( 14710, [ =( quotient( quotient( X, Z ), Y ), quotient(
% 5.56/5.96 quotient( X, Y ), t( Y, Z ) ) ) ] )
% 5.56/5.96 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, product( X, Y ) ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 12920, [ =( quotient( quotient( product( X, Y ), Z ), Y ), quotient(
% 5.56/5.96 X, t( Y, Z ) ) ) ] )
% 5.56/5.96 , clause( 14712, [ =( quotient( quotient( product( X, Y ), Z ), Y ),
% 5.56/5.96 quotient( X, t( Y, Z ) ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14716, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 5.56/5.96 , clause( 31, [ =( difference( quotient( X, Y ), X ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14717, [ =( X, difference( quotient( Y, t( X, Z ) ), quotient(
% 5.56/5.96 product( Y, X ), Z ) ) ) ] )
% 5.56/5.96 , clause( 12920, [ =( quotient( quotient( product( X, Y ), Z ), Y ),
% 5.56/5.96 quotient( X, t( Y, Z ) ) ) ] )
% 5.56/5.96 , 0, clause( 14716, [ =( Y, difference( quotient( X, Y ), X ) ) ] )
% 5.56/5.96 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.56/5.96 substitution( 1, [ :=( X, quotient( product( Y, X ), Z ) ), :=( Y, X )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14718, [ =( difference( quotient( Y, t( X, Z ) ), quotient( product(
% 5.56/5.96 Y, X ), Z ) ), X ) ] )
% 5.56/5.96 , clause( 14717, [ =( X, difference( quotient( Y, t( X, Z ) ), quotient(
% 5.56/5.96 product( Y, X ), Z ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 12935, [ =( difference( quotient( X, t( Y, Z ) ), quotient( product(
% 5.56/5.96 X, Y ), Z ) ), Y ) ] )
% 5.56/5.96 , clause( 14718, [ =( difference( quotient( Y, t( X, Z ) ), quotient(
% 5.56/5.96 product( Y, X ), Z ) ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14720, [ =( Y, difference( quotient( X, t( Y, Z ) ), quotient(
% 5.56/5.96 product( X, Y ), Z ) ) ) ] )
% 5.56/5.96 , clause( 12935, [ =( difference( quotient( X, t( Y, Z ) ), quotient(
% 5.56/5.96 product( X, Y ), Z ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14725, [ =( X, difference( quotient( j( Y ), t( X, Z ) ), quotient(
% 5.56/5.96 j( difference( X, Y ) ), Z ) ) ) ] )
% 5.56/5.96 , clause( 172, [ =( product( j( Y ), X ), j( difference( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14720, [ =( Y, difference( quotient( X, t( Y, Z ) ), quotient(
% 5.56/5.96 product( X, Y ), Z ) ) ) ] )
% 5.56/5.96 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.56/5.96 :=( X, j( Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14727, [ =( X, difference( quotient( j( Y ), t( X, Z ) ), j(
% 5.56/5.96 product( Z, difference( X, Y ) ) ) ) ) ] )
% 5.56/5.96 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14725, [ =( X, difference( quotient( j( Y ), t( X, Z ) ),
% 5.56/5.96 quotient( j( difference( X, Y ) ), Z ) ) ) ] )
% 5.56/5.96 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, difference( X, Y ) )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14729, [ =( X, difference( j( product( t( X, Z ), Y ) ), j( product(
% 5.56/5.96 Z, difference( X, Y ) ) ) ) ) ] )
% 5.56/5.96 , clause( 170, [ =( quotient( j( Y ), X ), j( product( X, Y ) ) ) ] )
% 5.56/5.96 , 0, clause( 14727, [ =( X, difference( quotient( j( Y ), t( X, Z ) ), j(
% 5.56/5.96 product( Z, difference( X, Y ) ) ) ) ) ] )
% 5.56/5.96 , 0, 3, substitution( 0, [ :=( X, t( X, Z ) ), :=( Y, Y )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14730, [ =( X, quotient( product( t( X, Y ), Z ), product( Y,
% 5.56/5.96 difference( X, Z ) ) ) ) ] )
% 5.56/5.96 , clause( 315, [ =( difference( j( X ), j( Y ) ), quotient( X, Y ) ) ] )
% 5.56/5.96 , 0, clause( 14729, [ =( X, difference( j( product( t( X, Z ), Y ) ), j(
% 5.56/5.96 product( Z, difference( X, Y ) ) ) ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, product( t( X, Y ), Z ) ), :=( Y, product(
% 5.56/5.96 Y, difference( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ),
% 5.56/5.96 :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14731, [ =( quotient( product( t( X, Y ), Z ), product( Y,
% 5.56/5.96 difference( X, Z ) ) ), X ) ] )
% 5.56/5.96 , clause( 14730, [ =( X, quotient( product( t( X, Y ), Z ), product( Y,
% 5.56/5.96 difference( X, Z ) ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 13186, [ =( quotient( product( t( Y, Z ), X ), product( Z,
% 5.56/5.96 difference( Y, X ) ) ), Y ) ] )
% 5.56/5.96 , clause( 14731, [ =( quotient( product( t( X, Y ), Z ), product( Y,
% 5.56/5.96 difference( X, Z ) ) ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14733, [ =( X, quotient( product( t( X, Y ), Z ), product( Y,
% 5.56/5.96 difference( X, Z ) ) ) ) ] )
% 5.56/5.96 , clause( 13186, [ =( quotient( product( t( Y, Z ), X ), product( Z,
% 5.56/5.96 difference( Y, X ) ) ), Y ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14734, [ =( X, quotient( product( t( X, Y ), product( X, Z ) ),
% 5.56/5.96 product( Y, Z ) ) ) ] )
% 5.56/5.96 , clause( 3, [ =( difference( X, product( X, Y ) ), Y ) ] )
% 5.56/5.96 , 0, clause( 14733, [ =( X, quotient( product( t( X, Y ), Z ), product( Y,
% 5.56/5.96 difference( X, Z ) ) ) ) ] )
% 5.56/5.96 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Y ), :=( Z, product( X, Z ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14735, [ =( quotient( product( t( X, Y ), product( X, Z ) ),
% 5.56/5.96 product( Y, Z ) ), X ) ] )
% 5.56/5.96 , clause( 14734, [ =( X, quotient( product( t( X, Y ), product( X, Z ) ),
% 5.56/5.96 product( Y, Z ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 13210, [ =( quotient( product( t( X, Z ), product( X, Y ) ),
% 5.56/5.96 product( Z, Y ) ), X ) ] )
% 5.56/5.96 , clause( 14735, [ =( quotient( product( t( X, Y ), product( X, Z ) ),
% 5.56/5.96 product( Y, Z ) ), X ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14737, [ =( product( X, quotient( Y, X ) ), product( product( X,
% 5.56/5.96 quotient( Y, product( Z, X ) ) ), Z ) ) ] )
% 5.56/5.96 , clause( 406, [ =( product( product( X, quotient( Y, product( Z, X ) ) ),
% 5.56/5.96 Z ), product( X, quotient( Y, X ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14743, [ =( product( X, quotient( product( t( Y, Z ), product( Y, X
% 5.56/5.96 ) ), X ) ), product( product( X, Y ), Z ) ) ] )
% 5.56/5.96 , clause( 13210, [ =( quotient( product( t( X, Z ), product( X, Y ) ),
% 5.56/5.96 product( Z, Y ) ), X ) ] )
% 5.56/5.96 , 0, clause( 14737, [ =( product( X, quotient( Y, X ) ), product( product(
% 5.56/5.96 X, quotient( Y, product( Z, X ) ) ), Z ) ) ] )
% 5.56/5.96 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.56/5.96 substitution( 1, [ :=( X, X ), :=( Y, product( t( Y, Z ), product( Y, X )
% 5.56/5.96 ) ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14744, [ =( product( product( X, t( Y, Z ) ), quotient( product( Y
% 5.56/5.96 , X ), X ) ), product( product( X, Y ), Z ) ) ] )
% 5.56/5.96 , clause( 415, [ =( product( X, quotient( product( Y, Z ), X ) ), product(
% 5.56/5.96 product( X, Y ), quotient( Z, X ) ) ) ] )
% 5.56/5.96 , 0, clause( 14743, [ =( product( X, quotient( product( t( Y, Z ), product(
% 5.56/5.96 Y, X ) ), X ) ), product( product( X, Y ), Z ) ) ] )
% 5.56/5.96 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, t( Y, Z ) ), :=( Z, product(
% 5.56/5.96 Y, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14745, [ =( product( product( X, t( Y, Z ) ), Y ), product( product(
% 5.56/5.96 X, Y ), Z ) ) ] )
% 5.56/5.96 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, clause( 14744, [ =( product( product( X, t( Y, Z ) ), quotient(
% 5.56/5.96 product( Y, X ), X ) ), product( product( X, Y ), Z ) ) ] )
% 5.56/5.96 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 13227, [ =( product( product( Z, t( X, Y ) ), X ), product( product(
% 5.56/5.96 Z, X ), Y ) ) ] )
% 5.56/5.96 , clause( 14745, [ =( product( product( X, t( Y, Z ) ), Y ), product(
% 5.56/5.96 product( X, Y ), Z ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqswap(
% 5.56/5.96 clause( 14748, [ =( product( product( X, Y ), Z ), product( product( X, t(
% 5.56/5.96 Y, Z ) ), Y ) ) ] )
% 5.56/5.96 , clause( 13227, [ =( product( product( Z, t( X, Y ) ), X ), product(
% 5.56/5.96 product( Z, X ), Y ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14749, [ =( product( product( X, Y ), difference( Y, Z ) ), product(
% 5.56/5.96 product( X, quotient( Z, Y ) ), Y ) ) ] )
% 5.56/5.96 , clause( 71, [ =( t( X, difference( X, Y ) ), quotient( Y, X ) ) ] )
% 5.56/5.96 , 0, clause( 14748, [ =( product( product( X, Y ), Z ), product( product( X
% 5.56/5.96 , t( Y, Z ) ), Y ) ) ] )
% 5.56/5.96 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 5.56/5.96 :=( X, X ), :=( Y, Y ), :=( Z, difference( Y, Z ) )] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 13398, [ =( product( product( Z, X ), difference( X, Y ) ), product(
% 5.56/5.96 product( Z, quotient( Y, X ) ), X ) ) ] )
% 5.56/5.96 , clause( 14749, [ =( product( product( X, Y ), difference( Y, Z ) ),
% 5.56/5.96 product( product( X, quotient( Z, Y ) ), Y ) ) ] )
% 5.56/5.96 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.56/5.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14754, [ ~( =( product( product( x0, quotient( product( x1, x2 ),
% 5.56/5.96 x2 ) ), x2 ), product( product( x0, x1 ), x2 ) ) ) ] )
% 5.56/5.96 , clause( 13398, [ =( product( product( Z, X ), difference( X, Y ) ),
% 5.56/5.96 product( product( Z, quotient( Y, X ) ), X ) ) ] )
% 5.56/5.96 , 0, clause( 24, [ ~( =( product( product( x0, x2 ), difference( x2,
% 5.56/5.96 product( x1, x2 ) ) ), product( product( x0, x1 ), x2 ) ) ) ] )
% 5.56/5.96 , 0, 2, substitution( 0, [ :=( X, x2 ), :=( Y, product( x1, x2 ) ), :=( Z,
% 5.56/5.96 x0 )] ), substitution( 1, [] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 paramod(
% 5.56/5.96 clause( 14755, [ ~( =( product( product( x0, x1 ), x2 ), product( product(
% 5.56/5.96 x0, x1 ), x2 ) ) ) ] )
% 5.56/5.96 , clause( 4, [ =( quotient( product( X, Y ), Y ), X ) ] )
% 5.56/5.96 , 0, clause( 14754, [ ~( =( product( product( x0, quotient( product( x1, x2
% 5.56/5.96 ), x2 ) ), x2 ), product( product( x0, x1 ), x2 ) ) ) ] )
% 5.56/5.96 , 0, 5, substitution( 0, [ :=( X, x1 ), :=( Y, x2 )] ), substitution( 1, [] )
% 5.56/5.96 ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 eqrefl(
% 5.56/5.96 clause( 14756, [] )
% 5.56/5.96 , clause( 14755, [ ~( =( product( product( x0, x1 ), x2 ), product( product(
% 5.56/5.96 x0, x1 ), x2 ) ) ) ] )
% 5.56/5.96 , 0, substitution( 0, [] )).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 subsumption(
% 5.56/5.96 clause( 14153, [] )
% 5.56/5.96 , clause( 14756, [] )
% 5.56/5.96 , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 end.
% 5.56/5.96
% 5.56/5.96 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.56/5.96
% 5.56/5.96 Memory use:
% 5.56/5.96
% 5.56/5.96 space for terms: 198930
% 5.56/5.96 space for clauses: 1758471
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 clauses generated: 575819
% 5.56/5.96 clauses kept: 14154
% 5.56/5.96 clauses selected: 1786
% 5.56/5.96 clauses deleted: 1919
% 5.56/5.96 clauses inuse deleted: 586
% 5.56/5.96
% 5.56/5.96 subsentry: 14778
% 5.56/5.96 literals s-matched: 13563
% 5.56/5.96 literals matched: 13561
% 5.56/5.96 full subsumption: 0
% 5.56/5.96
% 5.56/5.96 checksum: -1010008628
% 5.56/5.96
% 5.56/5.96
% 5.56/5.96 Bliksem ended
%------------------------------------------------------------------------------