TSTP Solution File: GRP728-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP728-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:39:16 EDT 2022
% Result : Unsatisfiable 0.80s 1.21s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP728-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jun 14 04:32:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.80/1.21 *** allocated 10000 integers for termspace/termends
% 0.80/1.21 *** allocated 10000 integers for clauses
% 0.80/1.21 *** allocated 10000 integers for justifications
% 0.80/1.21 Bliksem 1.12
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Automatic Strategy Selection
% 0.80/1.21
% 0.80/1.21 Clauses:
% 0.80/1.21 [
% 0.80/1.21 [ =( mult( unit, X ), X ) ],
% 0.80/1.21 [ =( mult( X, unit ), X ) ],
% 0.80/1.21 [ =( mult( X, i( X ) ), unit ) ],
% 0.80/1.21 [ =( mult( i( X ), X ), unit ) ],
% 0.80/1.21 [ =( i( mult( X, Y ) ), mult( i( X ), i( Y ) ) ) ],
% 0.80/1.21 [ =( mult( i( X ), mult( X, Y ) ), Y ) ],
% 0.80/1.21 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.80/1.21 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.80/1.21 [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y, mult( X, Z )
% 0.80/1.21 ) ) ) ],
% 0.80/1.21 [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) ), asoc( X, Y
% 0.80/1.21 , Z ) ) ) ],
% 0.80/1.21 [ =( mult( X, Y ), mult( mult( Y, X ), 'op_k'( X, Y ) ) ) ],
% 0.80/1.21 [ =( 'op_l'( X, Y, Z ), mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) )
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ =( 'op_r'( X, Y, Z ), rd( mult( mult( X, Y ), Z ), mult( Y, Z ) ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ =( 'op_t'( X, Y ), mult( i( Y ), mult( X, Y ) ) ) ],
% 0.80/1.21 [ =( 'op_r'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_r'( X, T, U ), Y, Z
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ =( 'op_l'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_l'( X, T, U ), Y, Z
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ =( 'op_l'( 'op_l'( X, Y, Z ), T, U ), 'op_l'( 'op_l'( X, T, U ), Y, Z
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ =( 'op_t'( 'op_r'( X, Y, Z ), T ), 'op_r'( 'op_t'( X, T ), Y, Z ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ =( 'op_t'( 'op_l'( X, Y, Z ), T ), 'op_l'( 'op_t'( X, T ), Y, Z ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ =( 'op_t'( 'op_t'( X, Y ), Z ), 'op_t'( 'op_t'( X, Z ), Y ) ) ],
% 0.80/1.21 [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ],
% 0.80/1.21 [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ],
% 0.80/1.21 [ ~( =( 'op_k'( 'op_k'( a, b ), c ), unit ) ) ]
% 0.80/1.21 ] .
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 percentage equality = 1.000000, percentage horn = 1.000000
% 0.80/1.21 This is a pure equality problem
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Options Used:
% 0.80/1.21
% 0.80/1.21 useres = 1
% 0.80/1.21 useparamod = 1
% 0.80/1.21 useeqrefl = 1
% 0.80/1.21 useeqfact = 1
% 0.80/1.21 usefactor = 1
% 0.80/1.21 usesimpsplitting = 0
% 0.80/1.21 usesimpdemod = 5
% 0.80/1.21 usesimpres = 3
% 0.80/1.21
% 0.80/1.21 resimpinuse = 1000
% 0.80/1.21 resimpclauses = 20000
% 0.80/1.21 substype = eqrewr
% 0.80/1.21 backwardsubs = 1
% 0.80/1.21 selectoldest = 5
% 0.80/1.21
% 0.80/1.21 litorderings [0] = split
% 0.80/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.21
% 0.80/1.21 termordering = kbo
% 0.80/1.21
% 0.80/1.21 litapriori = 0
% 0.80/1.21 termapriori = 1
% 0.80/1.21 litaposteriori = 0
% 0.80/1.21 termaposteriori = 0
% 0.80/1.21 demodaposteriori = 0
% 0.80/1.21 ordereqreflfact = 0
% 0.80/1.21
% 0.80/1.21 litselect = negord
% 0.80/1.21
% 0.80/1.21 maxweight = 15
% 0.80/1.21 maxdepth = 30000
% 0.80/1.21 maxlength = 115
% 0.80/1.21 maxnrvars = 195
% 0.80/1.21 excuselevel = 1
% 0.80/1.21 increasemaxweight = 1
% 0.80/1.21
% 0.80/1.21 maxselected = 10000000
% 0.80/1.21 maxnrclauses = 10000000
% 0.80/1.21
% 0.80/1.21 showgenerated = 0
% 0.80/1.21 showkept = 0
% 0.80/1.21 showselected = 0
% 0.80/1.21 showdeleted = 0
% 0.80/1.21 showresimp = 1
% 0.80/1.21 showstatus = 2000
% 0.80/1.21
% 0.80/1.21 prologoutput = 1
% 0.80/1.21 nrgoals = 5000000
% 0.80/1.21 totalproof = 1
% 0.80/1.21
% 0.80/1.21 Symbols occurring in the translation:
% 0.80/1.21
% 0.80/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.21 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.80/1.21 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.80/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.21 unit [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.80/1.21 mult [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.80/1.21 i [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.80/1.21 rd [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.80/1.21 asoc [46, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.80/1.21 'op_k' [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.80/1.21 'op_l' [48, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.80/1.21 'op_r' [49, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.80/1.21 'op_t' [50, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.80/1.21 a [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.80/1.21 b [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.80/1.21 c [55, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Starting Search:
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Bliksems!, er is een bewijs:
% 0.80/1.21 % SZS status Unsatisfiable
% 0.80/1.21 % SZS output start Refutation
% 0.80/1.21
% 0.80/1.21 clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 1, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 2, [ =( mult( X, i( X ) ), unit ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 6, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 7, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 8, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 0.80/1.21 , X ) ), Z ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.80/1.21 mult( X, Y ), Z ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 11, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ), 'op_l'(
% 0.80/1.21 X, Y, Z ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 20, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 21, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 22, [ ~( =( 'op_k'( 'op_k'( a, b ), c ), unit ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 30, [ =( rd( Y, mult( X, Y ) ), i( X ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 32, [ =( i( i( X ) ), X ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 33, [ =( mult( X, mult( i( X ), Y ) ), Y ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 38, [ =( mult( i( X ), mult( mult( X, mult( Y, X ) ), Z ) ), mult(
% 0.80/1.21 Y, mult( X, Z ) ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 44, [ =( mult( mult( X, mult( Y, X ) ), i( X ) ), mult( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 .
% 0.80/1.21 clause( 45, [ =( mult( mult( X, mult( i( mult( X, Y ) ), X ) ), Y ), X ) ]
% 0.80/1.21 )
% 0.80/1.21 .
% 0.80/1.21 clause( 49, [ =( rd( i( Y ), i( mult( X, Y ) ) ), X ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 54, [ =( mult( X, i( mult( X, Y ) ) ), i( Y ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 55, [ =( mult( mult( T, mult( X, mult( Y, Z ) ) ), asoc( X, Y, Z )
% 0.80/1.21 ), mult( T, mult( mult( X, Y ), Z ) ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 58, [ =( mult( mult( mult( X, mult( Y, X ) ), Z ), asoc( X, Y, mult(
% 0.80/1.21 X, Z ) ) ), mult( mult( X, Y ), mult( X, Z ) ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 62, [ =( mult( mult( Z, Y ), asoc( Z, i( X ), mult( X, Y ) ) ),
% 0.80/1.21 mult( mult( Z, i( X ) ), mult( X, Y ) ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 83, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.80/1.21 ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 115, [ =( mult( i( mult( X, Y ) ), mult( mult( X, mult( Y, X ) ), Z
% 0.80/1.21 ) ), 'op_l'( mult( X, Z ), Y, X ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 241, [ =( mult( mult( X, Y ), i( mult( Y, X ) ) ), i( 'op_k'( Y, X
% 0.80/1.21 ) ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 246, [ =( rd( i( Y ), i( X ) ), rd( X, Y ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 441, [ =( 'op_l'( Z, i( X ), mult( X, mult( Y, X ) ) ), 'op_l'( Z,
% 0.80/1.21 Y, X ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 449, [ =( mult( X, mult( i( mult( X, Y ) ), X ) ), rd( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 .
% 0.80/1.21 clause( 451, [ =( 'op_l'( Z, Y, rd( X, Y ) ), 'op_l'( Z, Y, X ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 467, [ =( 'op_l'( Z, Y, mult( X, Y ) ), 'op_l'( Z, Y, X ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 468, [ =( 'op_l'( Z, i( X ), mult( X, Y ) ), 'op_l'( Z, Y, X ) ) ]
% 0.80/1.21 )
% 0.80/1.21 .
% 0.80/1.21 clause( 497, [ =( 'op_l'( Z, mult( X, Y ), i( X ) ), 'op_l'( Z, X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 .
% 0.80/1.21 clause( 509, [ =( mult( 'op_l'( Z, Y, X ), asoc( X, Y, Z ) ), Z ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 520, [ =( 'op_l'( U, T, asoc( X, Y, Z ) ), U ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 521, [ =( 'op_l'( asoc( Z, T, U ), Y, X ), asoc( Z, T, U ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 551, [ =( asoc( X, Y, i( mult( Y, X ) ) ), i( 'op_k'( Y, X ) ) ) ]
% 0.80/1.21 )
% 0.80/1.21 .
% 0.80/1.21 clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) ) ]
% 0.80/1.21 )
% 0.80/1.21 .
% 0.80/1.21 clause( 590, [ =( 'op_l'( Z, T, 'op_k'( Y, X ) ), Z ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 603, [ =( 'op_k'( i( X ), i( Y ) ), i( 'op_k'( X, Y ) ) ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 614, [ =( 'op_l'( Z, T, i( 'op_k'( X, Y ) ) ), Z ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 629, [ =( 'op_l'( X, 'op_k'( Y, Z ), T ), X ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 632, [ =( mult( X, asoc( T, 'op_k'( Y, Z ), X ) ), X ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 643, [ =( asoc( Y, 'op_k'( Z, T ), X ), unit ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 644, [ =( asoc( Z, i( 'op_k'( X, Y ) ), T ), unit ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 648, [ =( 'op_k'( 'op_k'( Y, Z ), X ), unit ) ] )
% 0.80/1.21 .
% 0.80/1.21 clause( 650, [] )
% 0.80/1.21 .
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 % SZS output end Refutation
% 0.80/1.21 found a proof!
% 0.80/1.21
% 0.80/1.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.21
% 0.80/1.21 initialclauses(
% 0.80/1.21 [ clause( 652, [ =( mult( unit, X ), X ) ] )
% 0.80/1.21 , clause( 653, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 , clause( 654, [ =( mult( X, i( X ) ), unit ) ] )
% 0.80/1.21 , clause( 655, [ =( mult( i( X ), X ), unit ) ] )
% 0.80/1.21 , clause( 656, [ =( i( mult( X, Y ) ), mult( i( X ), i( Y ) ) ) ] )
% 0.80/1.21 , clause( 657, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , clause( 658, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.80/1.21 , clause( 659, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.80/1.21 , clause( 660, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 0.80/1.21 mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , clause( 661, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) )
% 0.80/1.21 , asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , clause( 662, [ =( mult( X, Y ), mult( mult( Y, X ), 'op_k'( X, Y ) ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 663, [ =( 'op_l'( X, Y, Z ), mult( i( mult( Z, Y ) ), mult( Z,
% 0.80/1.21 mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , clause( 664, [ =( 'op_r'( X, Y, Z ), rd( mult( mult( X, Y ), Z ), mult( Y
% 0.80/1.21 , Z ) ) ) ] )
% 0.80/1.21 , clause( 665, [ =( 'op_t'( X, Y ), mult( i( Y ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , clause( 666, [ =( 'op_r'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_r'( X, T
% 0.80/1.21 , U ), Y, Z ) ) ] )
% 0.80/1.21 , clause( 667, [ =( 'op_l'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_l'( X, T
% 0.80/1.21 , U ), Y, Z ) ) ] )
% 0.80/1.21 , clause( 668, [ =( 'op_l'( 'op_l'( X, Y, Z ), T, U ), 'op_l'( 'op_l'( X, T
% 0.80/1.21 , U ), Y, Z ) ) ] )
% 0.80/1.21 , clause( 669, [ =( 'op_t'( 'op_r'( X, Y, Z ), T ), 'op_r'( 'op_t'( X, T )
% 0.80/1.21 , Y, Z ) ) ] )
% 0.80/1.21 , clause( 670, [ =( 'op_t'( 'op_l'( X, Y, Z ), T ), 'op_l'( 'op_t'( X, T )
% 0.80/1.21 , Y, Z ) ) ] )
% 0.80/1.21 , clause( 671, [ =( 'op_t'( 'op_t'( X, Y ), Z ), 'op_t'( 'op_t'( X, Z ), Y
% 0.80/1.21 ) ) ] )
% 0.80/1.21 , clause( 672, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.80/1.21 , clause( 673, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.80/1.21 , clause( 674, [ ~( =( 'op_k'( 'op_k'( a, b ), c ), unit ) ) ] )
% 0.80/1.21 ] ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.80/1.21 , clause( 652, [ =( mult( unit, X ), X ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 1, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 , clause( 653, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 2, [ =( mult( X, i( X ) ), unit ) ] )
% 0.80/1.21 , clause( 654, [ =( mult( X, i( X ) ), unit ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.80/1.21 , clause( 655, [ =( mult( i( X ), X ), unit ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 689, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.80/1.21 , clause( 656, [ =( i( mult( X, Y ) ), mult( i( X ), i( Y ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.80/1.21 , clause( 689, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , clause( 657, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 6, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.80/1.21 , clause( 658, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 7, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.80/1.21 , clause( 659, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 719, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.80/1.21 Y, X ) ), Z ) ) ] )
% 0.80/1.21 , clause( 660, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 0.80/1.21 mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 8, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 0.80/1.21 , X ) ), Z ) ) ] )
% 0.80/1.21 , clause( 719, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.80/1.21 Y, X ) ), Z ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 729, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.80/1.21 mult( X, Y ), Z ) ) ] )
% 0.80/1.21 , clause( 661, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) )
% 0.80/1.21 , asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.80/1.21 mult( X, Y ), Z ) ) ] )
% 0.80/1.21 , clause( 729, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.80/1.21 mult( X, Y ), Z ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 740, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ] )
% 0.80/1.21 , clause( 662, [ =( mult( X, Y ), mult( mult( Y, X ), 'op_k'( X, Y ) ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ] )
% 0.80/1.21 , clause( 740, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 752, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ),
% 0.80/1.21 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , clause( 663, [ =( 'op_l'( X, Y, Z ), mult( i( mult( Z, Y ) ), mult( Z,
% 0.80/1.21 mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 11, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ), 'op_l'(
% 0.80/1.21 X, Y, Z ) ) ] )
% 0.80/1.21 , clause( 752, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ),
% 0.80/1.21 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 20, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.80/1.21 , clause( 672, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.80/1.21 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 21, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.80/1.21 , clause( 673, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.80/1.21 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 22, [ ~( =( 'op_k'( 'op_k'( a, b ), c ), unit ) ) ] )
% 0.80/1.21 , clause( 674, [ ~( =( 'op_k'( 'op_k'( a, b ), c ), unit ) ) ] )
% 0.80/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 811, [ =( X, rd( mult( X, Y ), Y ) ) ] )
% 0.80/1.21 , clause( 6, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 812, [ =( i( X ), rd( Y, mult( X, Y ) ) ) ] )
% 0.80/1.21 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , 0, clause( 811, [ =( X, rd( mult( X, Y ), Y ) ) ] )
% 0.80/1.21 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, i( X ) ), :=( Y, mult( X, Y ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 813, [ =( rd( Y, mult( X, Y ) ), i( X ) ) ] )
% 0.80/1.21 , clause( 812, [ =( i( X ), rd( Y, mult( X, Y ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 30, [ =( rd( Y, mult( X, Y ) ), i( X ) ) ] )
% 0.80/1.21 , clause( 813, [ =( rd( Y, mult( X, Y ) ), i( X ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 815, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 817, [ =( X, mult( i( i( X ) ), unit ) ) ] )
% 0.80/1.21 , clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.80/1.21 , 0, clause( 815, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 0.80/1.21 ), :=( Y, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 818, [ =( X, i( i( X ) ) ) ] )
% 0.80/1.21 , clause( 1, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 , 0, clause( 817, [ =( X, mult( i( i( X ) ), unit ) ) ] )
% 0.80/1.21 , 0, 2, substitution( 0, [ :=( X, i( i( X ) ) )] ), substitution( 1, [ :=(
% 0.80/1.21 X, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 819, [ =( i( i( X ) ), X ) ] )
% 0.80/1.21 , clause( 818, [ =( X, i( i( X ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 32, [ =( i( i( X ) ), X ) ] )
% 0.80/1.21 , clause( 819, [ =( i( i( X ) ), X ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 821, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 822, [ =( X, mult( Y, mult( i( Y ), X ) ) ) ] )
% 0.80/1.21 , clause( 32, [ =( i( i( X ) ), X ) ] )
% 0.80/1.21 , 0, clause( 821, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, i( Y )
% 0.80/1.21 ), :=( Y, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 823, [ =( mult( Y, mult( i( Y ), X ) ), X ) ] )
% 0.80/1.21 , clause( 822, [ =( X, mult( Y, mult( i( Y ), X ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 33, [ =( mult( X, mult( i( X ), Y ) ), Y ) ] )
% 0.80/1.21 , clause( 823, [ =( mult( Y, mult( i( Y ), X ) ), X ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 825, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 838, [ =( mult( X, mult( Y, Z ) ), mult( i( Y ), mult( mult( Y,
% 0.80/1.21 mult( X, Y ) ), Z ) ) ) ] )
% 0.80/1.21 , clause( 8, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.80/1.21 Y, X ) ), Z ) ) ] )
% 0.80/1.21 , 0, clause( 825, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.80/1.21 substitution( 1, [ :=( X, Y ), :=( Y, mult( X, mult( Y, Z ) ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 840, [ =( mult( i( Y ), mult( mult( Y, mult( X, Y ) ), Z ) ), mult(
% 0.80/1.21 X, mult( Y, Z ) ) ) ] )
% 0.80/1.21 , clause( 838, [ =( mult( X, mult( Y, Z ) ), mult( i( Y ), mult( mult( Y,
% 0.80/1.21 mult( X, Y ) ), Z ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 38, [ =( mult( i( X ), mult( mult( X, mult( Y, X ) ), Z ) ), mult(
% 0.80/1.21 Y, mult( X, Z ) ) ) ] )
% 0.80/1.21 , clause( 840, [ =( mult( i( Y ), mult( mult( Y, mult( X, Y ) ), Z ) ),
% 0.80/1.21 mult( X, mult( Y, Z ) ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 842, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 0.80/1.21 mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , clause( 8, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.80/1.21 Y, X ) ), Z ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 846, [ =( mult( mult( X, mult( Y, X ) ), i( X ) ), mult( X, mult( Y
% 0.80/1.21 , unit ) ) ) ] )
% 0.80/1.21 , clause( 2, [ =( mult( X, i( X ) ), unit ) ] )
% 0.80/1.21 , 0, clause( 842, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y
% 0.80/1.21 , mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.80/1.21 :=( Y, Y ), :=( Z, i( X ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 847, [ =( mult( mult( X, mult( Y, X ) ), i( X ) ), mult( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 1, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 , 0, clause( 846, [ =( mult( mult( X, mult( Y, X ) ), i( X ) ), mult( X,
% 0.80/1.21 mult( Y, unit ) ) ) ] )
% 0.80/1.21 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.80/1.21 :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 44, [ =( mult( mult( X, mult( Y, X ) ), i( X ) ), mult( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 847, [ =( mult( mult( X, mult( Y, X ) ), i( X ) ), mult( X, Y ) )
% 0.80/1.21 ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 850, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 0.80/1.21 mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , clause( 8, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.80/1.21 Y, X ) ), Z ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 853, [ =( mult( mult( X, mult( i( mult( X, Y ) ), X ) ), Y ), mult(
% 0.80/1.21 X, unit ) ) ] )
% 0.80/1.21 , clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.80/1.21 , 0, clause( 850, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y
% 0.80/1.21 , mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , 0, 13, substitution( 0, [ :=( X, mult( X, Y ) )] ), substitution( 1, [
% 0.80/1.21 :=( X, X ), :=( Y, i( mult( X, Y ) ) ), :=( Z, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 857, [ =( mult( mult( X, mult( i( mult( X, Y ) ), X ) ), Y ), X ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 1, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 , 0, clause( 853, [ =( mult( mult( X, mult( i( mult( X, Y ) ), X ) ), Y ),
% 0.80/1.21 mult( X, unit ) ) ] )
% 0.80/1.21 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.80/1.21 :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 45, [ =( mult( mult( X, mult( i( mult( X, Y ) ), X ) ), Y ), X ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 857, [ =( mult( mult( X, mult( i( mult( X, Y ) ), X ) ), Y ), X )
% 0.80/1.21 ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 860, [ =( i( Y ), rd( X, mult( Y, X ) ) ) ] )
% 0.80/1.21 , clause( 30, [ =( rd( Y, mult( X, Y ) ), i( X ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 862, [ =( i( i( X ) ), rd( i( Y ), i( mult( X, Y ) ) ) ) ] )
% 0.80/1.21 , clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.80/1.21 , 0, clause( 860, [ =( i( Y ), rd( X, mult( Y, X ) ) ) ] )
% 0.80/1.21 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, i( Y ) ), :=( Y, i( X ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 863, [ =( X, rd( i( Y ), i( mult( X, Y ) ) ) ) ] )
% 0.80/1.21 , clause( 32, [ =( i( i( X ) ), X ) ] )
% 0.80/1.21 , 0, clause( 862, [ =( i( i( X ) ), rd( i( Y ), i( mult( X, Y ) ) ) ) ] )
% 0.80/1.21 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.80/1.21 :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 864, [ =( rd( i( Y ), i( mult( X, Y ) ) ), X ) ] )
% 0.80/1.21 , clause( 863, [ =( X, rd( i( Y ), i( mult( X, Y ) ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 49, [ =( rd( i( Y ), i( mult( X, Y ) ) ), X ) ] )
% 0.80/1.21 , clause( 864, [ =( rd( i( Y ), i( mult( X, Y ) ) ), X ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 866, [ =( Y, mult( X, mult( i( X ), Y ) ) ) ] )
% 0.80/1.21 , clause( 33, [ =( mult( X, mult( i( X ), Y ) ), Y ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 869, [ =( i( X ), mult( Y, i( mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.80/1.21 , 0, clause( 866, [ =( Y, mult( X, mult( i( X ), Y ) ) ) ] )
% 0.80/1.21 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.80/1.21 :=( X, Y ), :=( Y, i( X ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 870, [ =( mult( Y, i( mult( Y, X ) ) ), i( X ) ) ] )
% 0.80/1.21 , clause( 869, [ =( i( X ), mult( Y, i( mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 54, [ =( mult( X, i( mult( X, Y ) ) ), i( Y ) ) ] )
% 0.80/1.21 , clause( 870, [ =( mult( Y, i( mult( Y, X ) ) ), i( X ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 871, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) ),
% 0.80/1.21 asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.80/1.21 mult( X, Y ), Z ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 878, [ =( mult( mult( X, mult( Y, mult( Z, T ) ) ), asoc( Y, Z, T )
% 0.80/1.21 ), mult( mult( X, mult( mult( Y, Z ), T ) ), asoc( X, mult( Y, mult( Z,
% 0.80/1.21 T ) ), asoc( Y, Z, T ) ) ) ) ] )
% 0.80/1.21 , clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.80/1.21 mult( X, Y ), Z ) ) ] )
% 0.80/1.21 , 0, clause( 871, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z )
% 0.80/1.21 ), asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.80/1.21 substitution( 1, [ :=( X, X ), :=( Y, mult( Y, mult( Z, T ) ) ), :=( Z,
% 0.80/1.21 asoc( Y, Z, T ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 881, [ =( mult( mult( X, mult( Y, mult( Z, T ) ) ), asoc( Y, Z, T )
% 0.80/1.21 ), mult( mult( X, mult( mult( Y, Z ), T ) ), unit ) ) ] )
% 0.80/1.21 , clause( 21, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.80/1.21 , 0, clause( 878, [ =( mult( mult( X, mult( Y, mult( Z, T ) ) ), asoc( Y, Z
% 0.80/1.21 , T ) ), mult( mult( X, mult( mult( Y, Z ), T ) ), asoc( X, mult( Y, mult(
% 0.80/1.21 Z, T ) ), asoc( Y, Z, T ) ) ) ) ] )
% 0.80/1.21 , 0, 21, substitution( 0, [ :=( X, X ), :=( Y, mult( Y, mult( Z, T ) ) ),
% 0.80/1.21 :=( Z, Y ), :=( T, Z ), :=( U, T )] ), substitution( 1, [ :=( X, X ),
% 0.80/1.21 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 882, [ =( mult( mult( X, mult( Y, mult( Z, T ) ) ), asoc( Y, Z, T )
% 0.80/1.21 ), mult( X, mult( mult( Y, Z ), T ) ) ) ] )
% 0.80/1.21 , clause( 1, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 , 0, clause( 881, [ =( mult( mult( X, mult( Y, mult( Z, T ) ) ), asoc( Y, Z
% 0.80/1.21 , T ) ), mult( mult( X, mult( mult( Y, Z ), T ) ), unit ) ) ] )
% 0.80/1.21 , 0, 13, substitution( 0, [ :=( X, mult( X, mult( mult( Y, Z ), T ) ) )] )
% 0.80/1.21 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.80/1.21 ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 55, [ =( mult( mult( T, mult( X, mult( Y, Z ) ) ), asoc( X, Y, Z )
% 0.80/1.21 ), mult( T, mult( mult( X, Y ), Z ) ) ) ] )
% 0.80/1.21 , clause( 882, [ =( mult( mult( X, mult( Y, mult( Z, T ) ) ), asoc( Y, Z, T
% 0.80/1.21 ) ), mult( X, mult( mult( Y, Z ), T ) ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 885, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) ),
% 0.80/1.21 asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.80/1.21 mult( X, Y ), Z ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 894, [ =( mult( mult( X, Y ), mult( X, Z ) ), mult( mult( mult( X,
% 0.80/1.21 mult( Y, X ) ), Z ), asoc( X, Y, mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , clause( 8, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.80/1.21 Y, X ) ), Z ) ) ] )
% 0.80/1.21 , 0, clause( 885, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z )
% 0.80/1.21 ), asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, mult( X, Z ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 898, [ =( mult( mult( mult( X, mult( Y, X ) ), Z ), asoc( X, Y,
% 0.80/1.21 mult( X, Z ) ) ), mult( mult( X, Y ), mult( X, Z ) ) ) ] )
% 0.80/1.21 , clause( 894, [ =( mult( mult( X, Y ), mult( X, Z ) ), mult( mult( mult( X
% 0.80/1.21 , mult( Y, X ) ), Z ), asoc( X, Y, mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 58, [ =( mult( mult( mult( X, mult( Y, X ) ), Z ), asoc( X, Y, mult(
% 0.80/1.21 X, Z ) ) ), mult( mult( X, Y ), mult( X, Z ) ) ) ] )
% 0.80/1.21 , clause( 898, [ =( mult( mult( mult( X, mult( Y, X ) ), Z ), asoc( X, Y,
% 0.80/1.21 mult( X, Z ) ) ), mult( mult( X, Y ), mult( X, Z ) ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 901, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) ),
% 0.80/1.21 asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.80/1.21 mult( X, Y ), Z ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 906, [ =( mult( mult( X, i( Y ) ), mult( Y, Z ) ), mult( mult( X, Z
% 0.80/1.21 ), asoc( X, i( Y ), mult( Y, Z ) ) ) ) ] )
% 0.80/1.21 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , 0, clause( 901, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z )
% 0.80/1.21 ), asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.80/1.21 :=( X, X ), :=( Y, i( Y ) ), :=( Z, mult( Y, Z ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 909, [ =( mult( mult( X, Z ), asoc( X, i( Y ), mult( Y, Z ) ) ),
% 0.80/1.21 mult( mult( X, i( Y ) ), mult( Y, Z ) ) ) ] )
% 0.80/1.21 , clause( 906, [ =( mult( mult( X, i( Y ) ), mult( Y, Z ) ), mult( mult( X
% 0.80/1.21 , Z ), asoc( X, i( Y ), mult( Y, Z ) ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 62, [ =( mult( mult( Z, Y ), asoc( Z, i( X ), mult( X, Y ) ) ),
% 0.80/1.21 mult( mult( Z, i( X ) ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , clause( 909, [ =( mult( mult( X, Z ), asoc( X, i( Y ), mult( Y, Z ) ) ),
% 0.80/1.21 mult( mult( X, i( Y ) ), mult( Y, Z ) ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 911, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 916, [ =( 'op_k'( X, Y ), mult( i( mult( Y, X ) ), mult( X, Y ) ) )
% 0.80/1.21 ] )
% 0.80/1.21 , clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, clause( 911, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.80/1.21 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, mult( Y, X ) ), :=( Y, 'op_k'( X, Y ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 917, [ =( mult( i( mult( Y, X ) ), mult( X, Y ) ), 'op_k'( X, Y ) )
% 0.80/1.21 ] )
% 0.80/1.21 , clause( 916, [ =( 'op_k'( X, Y ), mult( i( mult( Y, X ) ), mult( X, Y ) )
% 0.80/1.21 ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 83, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.80/1.21 ] )
% 0.80/1.21 , clause( 917, [ =( mult( i( mult( Y, X ) ), mult( X, Y ) ), 'op_k'( X, Y )
% 0.80/1.21 ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 919, [ =( 'op_l'( Z, Y, X ), mult( i( mult( X, Y ) ), mult( X, mult(
% 0.80/1.21 Y, Z ) ) ) ) ] )
% 0.80/1.21 , clause( 11, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ),
% 0.80/1.21 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 927, [ =( 'op_l'( mult( X, Y ), Z, X ), mult( i( mult( X, Z ) ),
% 0.80/1.21 mult( mult( X, mult( Z, X ) ), Y ) ) ) ] )
% 0.80/1.21 , clause( 8, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.80/1.21 Y, X ) ), Z ) ) ] )
% 0.80/1.21 , 0, clause( 919, [ =( 'op_l'( Z, Y, X ), mult( i( mult( X, Y ) ), mult( X
% 0.80/1.21 , mult( Y, Z ) ) ) ) ] )
% 0.80/1.21 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.80/1.21 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, mult( X, Y ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 930, [ =( mult( i( mult( X, Z ) ), mult( mult( X, mult( Z, X ) ), Y
% 0.80/1.21 ) ), 'op_l'( mult( X, Y ), Z, X ) ) ] )
% 0.80/1.21 , clause( 927, [ =( 'op_l'( mult( X, Y ), Z, X ), mult( i( mult( X, Z ) ),
% 0.80/1.21 mult( mult( X, mult( Z, X ) ), Y ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 115, [ =( mult( i( mult( X, Y ) ), mult( mult( X, mult( Y, X ) ), Z
% 0.80/1.21 ) ), 'op_l'( mult( X, Z ), Y, X ) ) ] )
% 0.80/1.21 , clause( 930, [ =( mult( i( mult( X, Z ) ), mult( mult( X, mult( Z, X ) )
% 0.80/1.21 , Y ) ), 'op_l'( mult( X, Y ), Z, X ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 933, [ =( i( Y ), mult( X, i( mult( X, Y ) ) ) ) ] )
% 0.80/1.21 , clause( 54, [ =( mult( X, i( mult( X, Y ) ) ), i( Y ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 938, [ =( i( 'op_k'( X, Y ) ), mult( mult( Y, X ), i( mult( X, Y )
% 0.80/1.21 ) ) ) ] )
% 0.80/1.21 , clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, clause( 933, [ =( i( Y ), mult( X, i( mult( X, Y ) ) ) ) ] )
% 0.80/1.21 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, mult( Y, X ) ), :=( Y, 'op_k'( X, Y ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 939, [ =( mult( mult( Y, X ), i( mult( X, Y ) ) ), i( 'op_k'( X, Y
% 0.80/1.21 ) ) ) ] )
% 0.80/1.21 , clause( 938, [ =( i( 'op_k'( X, Y ) ), mult( mult( Y, X ), i( mult( X, Y
% 0.80/1.21 ) ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 241, [ =( mult( mult( X, Y ), i( mult( Y, X ) ) ), i( 'op_k'( Y, X
% 0.80/1.21 ) ) ) ] )
% 0.80/1.21 , clause( 939, [ =( mult( mult( Y, X ), i( mult( X, Y ) ) ), i( 'op_k'( X,
% 0.80/1.21 Y ) ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 941, [ =( Y, rd( i( X ), i( mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , clause( 49, [ =( rd( i( Y ), i( mult( X, Y ) ) ), X ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 944, [ =( rd( X, Y ), rd( i( Y ), i( X ) ) ) ] )
% 0.80/1.21 , clause( 7, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.80/1.21 , 0, clause( 941, [ =( Y, rd( i( X ), i( mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, Y ), :=( Y, rd( X, Y ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 945, [ =( rd( i( Y ), i( X ) ), rd( X, Y ) ) ] )
% 0.80/1.21 , clause( 944, [ =( rd( X, Y ), rd( i( Y ), i( X ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 246, [ =( rd( i( Y ), i( X ) ), rd( X, Y ) ) ] )
% 0.80/1.21 , clause( 945, [ =( rd( i( Y ), i( X ) ), rd( X, Y ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 947, [ =( 'op_l'( Z, Y, X ), mult( i( mult( X, Y ) ), mult( X, mult(
% 0.80/1.21 Y, Z ) ) ) ) ] )
% 0.80/1.21 , clause( 11, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ),
% 0.80/1.21 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 952, [ =( 'op_l'( X, i( Y ), mult( Y, mult( Z, Y ) ) ), mult( i(
% 0.80/1.21 mult( Y, Z ) ), mult( mult( Y, mult( Z, Y ) ), mult( i( Y ), X ) ) ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 44, [ =( mult( mult( X, mult( Y, X ) ), i( X ) ), mult( X, Y ) )
% 0.80/1.21 ] )
% 0.80/1.21 , 0, clause( 947, [ =( 'op_l'( Z, Y, X ), mult( i( mult( X, Y ) ), mult( X
% 0.80/1.21 , mult( Y, Z ) ) ) ) ] )
% 0.80/1.21 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.80/1.21 :=( X, mult( Y, mult( Z, Y ) ) ), :=( Y, i( Y ) ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 954, [ =( 'op_l'( X, i( Y ), mult( Y, mult( Z, Y ) ) ), 'op_l'(
% 0.80/1.21 mult( Y, mult( i( Y ), X ) ), Z, Y ) ) ] )
% 0.80/1.21 , clause( 115, [ =( mult( i( mult( X, Y ) ), mult( mult( X, mult( Y, X ) )
% 0.80/1.21 , Z ) ), 'op_l'( mult( X, Z ), Y, X ) ) ] )
% 0.80/1.21 , 0, clause( 952, [ =( 'op_l'( X, i( Y ), mult( Y, mult( Z, Y ) ) ), mult(
% 0.80/1.21 i( mult( Y, Z ) ), mult( mult( Y, mult( Z, Y ) ), mult( i( Y ), X ) ) ) )
% 0.80/1.21 ] )
% 0.80/1.21 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, mult( i( Y ), X
% 0.80/1.21 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 955, [ =( 'op_l'( X, i( Y ), mult( Y, mult( Z, Y ) ) ), 'op_l'( X,
% 0.80/1.21 Z, Y ) ) ] )
% 0.80/1.21 , clause( 33, [ =( mult( X, mult( i( X ), Y ) ), Y ) ] )
% 0.80/1.21 , 0, clause( 954, [ =( 'op_l'( X, i( Y ), mult( Y, mult( Z, Y ) ) ), 'op_l'(
% 0.80/1.21 mult( Y, mult( i( Y ), X ) ), Z, Y ) ) ] )
% 0.80/1.21 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.80/1.21 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 441, [ =( 'op_l'( Z, i( X ), mult( X, mult( Y, X ) ) ), 'op_l'( Z,
% 0.80/1.21 Y, X ) ) ] )
% 0.80/1.21 , clause( 955, [ =( 'op_l'( X, i( Y ), mult( Y, mult( Z, Y ) ) ), 'op_l'( X
% 0.80/1.21 , Z, Y ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 958, [ =( Y, rd( i( X ), i( mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , clause( 49, [ =( rd( i( Y ), i( mult( X, Y ) ) ), X ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 960, [ =( mult( X, mult( i( mult( X, Y ) ), X ) ), rd( i( Y ), i( X
% 0.80/1.21 ) ) ) ] )
% 0.80/1.21 , clause( 45, [ =( mult( mult( X, mult( i( mult( X, Y ) ), X ) ), Y ), X )
% 0.80/1.21 ] )
% 0.80/1.21 , 0, clause( 958, [ =( Y, rd( i( X ), i( mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, Y ), :=( Y, mult( X, mult( i( mult( X, Y ) ), X ) ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 961, [ =( mult( X, mult( i( mult( X, Y ) ), X ) ), rd( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 246, [ =( rd( i( Y ), i( X ) ), rd( X, Y ) ) ] )
% 0.80/1.21 , 0, clause( 960, [ =( mult( X, mult( i( mult( X, Y ) ), X ) ), rd( i( Y )
% 0.80/1.21 , i( X ) ) ) ] )
% 0.80/1.21 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, X ), :=( Y, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 449, [ =( mult( X, mult( i( mult( X, Y ) ), X ) ), rd( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 961, [ =( mult( X, mult( i( mult( X, Y ) ), X ) ), rd( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 964, [ =( 'op_l'( Z, Y, X ), mult( i( mult( X, Y ) ), mult( X, mult(
% 0.80/1.21 Y, Z ) ) ) ) ] )
% 0.80/1.21 , clause( 11, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ),
% 0.80/1.21 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 969, [ =( 'op_l'( X, Y, mult( Z, mult( i( mult( Z, Y ) ), Z ) ) ),
% 0.80/1.21 mult( i( Z ), mult( mult( Z, mult( i( mult( Z, Y ) ), Z ) ), mult( Y, X )
% 0.80/1.21 ) ) ) ] )
% 0.80/1.21 , clause( 45, [ =( mult( mult( X, mult( i( mult( X, Y ) ), X ) ), Y ), X )
% 0.80/1.21 ] )
% 0.80/1.21 , 0, clause( 964, [ =( 'op_l'( Z, Y, X ), mult( i( mult( X, Y ) ), mult( X
% 0.80/1.21 , mult( Y, Z ) ) ) ) ] )
% 0.80/1.21 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, mult( Z, mult( i( mult( Z, Y ) ), Z ) ) ), :=( Y, Y ), :=( Z, X )] )
% 0.80/1.21 ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 972, [ =( 'op_l'( X, Y, mult( Z, mult( i( mult( Z, Y ) ), Z ) ) ),
% 0.80/1.21 mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , clause( 38, [ =( mult( i( X ), mult( mult( X, mult( Y, X ) ), Z ) ), mult(
% 0.80/1.21 Y, mult( X, Z ) ) ) ] )
% 0.80/1.21 , 0, clause( 969, [ =( 'op_l'( X, Y, mult( Z, mult( i( mult( Z, Y ) ), Z )
% 0.80/1.21 ) ), mult( i( Z ), mult( mult( Z, mult( i( mult( Z, Y ) ), Z ) ), mult(
% 0.80/1.21 Y, X ) ) ) ) ] )
% 0.80/1.21 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, i( mult( Z, Y ) ) ), :=( Z,
% 0.80/1.21 mult( Y, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.80/1.21 ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 973, [ =( 'op_l'( X, Y, mult( Z, mult( i( mult( Z, Y ) ), Z ) ) ),
% 0.80/1.21 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , clause( 11, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ),
% 0.80/1.21 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , 0, clause( 972, [ =( 'op_l'( X, Y, mult( Z, mult( i( mult( Z, Y ) ), Z )
% 0.80/1.21 ) ), mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ) ) ] )
% 0.80/1.21 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 974, [ =( 'op_l'( X, Y, rd( Z, Y ) ), 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , clause( 449, [ =( mult( X, mult( i( mult( X, Y ) ), X ) ), rd( X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, clause( 973, [ =( 'op_l'( X, Y, mult( Z, mult( i( mult( Z, Y ) ), Z )
% 0.80/1.21 ) ), 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 451, [ =( 'op_l'( Z, Y, rd( X, Y ) ), 'op_l'( Z, Y, X ) ) ] )
% 0.80/1.21 , clause( 974, [ =( 'op_l'( X, Y, rd( Z, Y ) ), 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 977, [ =( 'op_l'( X, Y, Z ), 'op_l'( X, Y, rd( Z, Y ) ) ) ] )
% 0.80/1.21 , clause( 451, [ =( 'op_l'( Z, Y, rd( X, Y ) ), 'op_l'( Z, Y, X ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 978, [ =( 'op_l'( X, Y, mult( Z, Y ) ), 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , clause( 6, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.80/1.21 , 0, clause( 977, [ =( 'op_l'( X, Y, Z ), 'op_l'( X, Y, rd( Z, Y ) ) ) ] )
% 0.80/1.21 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.21 :=( X, X ), :=( Y, Y ), :=( Z, mult( Z, Y ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 467, [ =( 'op_l'( Z, Y, mult( X, Y ) ), 'op_l'( Z, Y, X ) ) ] )
% 0.80/1.21 , clause( 978, [ =( 'op_l'( X, Y, mult( Z, Y ) ), 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 981, [ =( 'op_l'( X, Y, Z ), 'op_l'( X, Y, mult( Z, Y ) ) ) ] )
% 0.80/1.21 , clause( 467, [ =( 'op_l'( Z, Y, mult( X, Y ) ), 'op_l'( Z, Y, X ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 983, [ =( 'op_l'( X, i( Y ), mult( Y, mult( Z, Y ) ) ), 'op_l'( X,
% 0.80/1.21 i( Y ), mult( Y, Z ) ) ) ] )
% 0.80/1.21 , clause( 44, [ =( mult( mult( X, mult( Y, X ) ), i( X ) ), mult( X, Y ) )
% 0.80/1.21 ] )
% 0.80/1.21 , 0, clause( 981, [ =( 'op_l'( X, Y, Z ), 'op_l'( X, Y, mult( Z, Y ) ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.80/1.21 :=( X, X ), :=( Y, i( Y ) ), :=( Z, mult( Y, mult( Z, Y ) ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 984, [ =( 'op_l'( X, Z, Y ), 'op_l'( X, i( Y ), mult( Y, Z ) ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 441, [ =( 'op_l'( Z, i( X ), mult( X, mult( Y, X ) ) ), 'op_l'( Z
% 0.80/1.21 , Y, X ) ) ] )
% 0.80/1.21 , 0, clause( 983, [ =( 'op_l'( X, i( Y ), mult( Y, mult( Z, Y ) ) ), 'op_l'(
% 0.80/1.21 X, i( Y ), mult( Y, Z ) ) ) ] )
% 0.80/1.21 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.80/1.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 985, [ =( 'op_l'( X, i( Z ), mult( Z, Y ) ), 'op_l'( X, Y, Z ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 984, [ =( 'op_l'( X, Z, Y ), 'op_l'( X, i( Y ), mult( Y, Z ) ) )
% 0.80/1.21 ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 468, [ =( 'op_l'( Z, i( X ), mult( X, Y ) ), 'op_l'( Z, Y, X ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 985, [ =( 'op_l'( X, i( Z ), mult( Z, Y ) ), 'op_l'( X, Y, Z ) )
% 0.80/1.21 ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 987, [ =( 'op_l'( X, Z, Y ), 'op_l'( X, i( Y ), mult( Y, Z ) ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 468, [ =( 'op_l'( Z, i( X ), mult( X, Y ) ), 'op_l'( Z, Y, X ) )
% 0.80/1.21 ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 989, [ =( 'op_l'( X, mult( Y, Z ), i( Y ) ), 'op_l'( X, i( i( Y ) )
% 0.80/1.21 , Z ) ) ] )
% 0.80/1.21 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , 0, clause( 987, [ =( 'op_l'( X, Z, Y ), 'op_l'( X, i( Y ), mult( Y, Z ) )
% 0.80/1.21 ) ] )
% 0.80/1.21 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.80/1.21 :=( X, X ), :=( Y, i( Y ) ), :=( Z, mult( Y, Z ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 990, [ =( 'op_l'( X, mult( Y, Z ), i( Y ) ), 'op_l'( X, Y, Z ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 32, [ =( i( i( X ) ), X ) ] )
% 0.80/1.21 , 0, clause( 989, [ =( 'op_l'( X, mult( Y, Z ), i( Y ) ), 'op_l'( X, i( i(
% 0.80/1.21 Y ) ), Z ) ) ] )
% 0.80/1.21 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.80/1.21 :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 497, [ =( 'op_l'( Z, mult( X, Y ), i( X ) ), 'op_l'( Z, X, Y ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , clause( 990, [ =( 'op_l'( X, mult( Y, Z ), i( Y ) ), 'op_l'( X, Y, Z ) )
% 0.80/1.21 ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 993, [ =( mult( X, mult( mult( Y, Z ), T ) ), mult( mult( X, mult(
% 0.80/1.21 Y, mult( Z, T ) ) ), asoc( Y, Z, T ) ) ) ] )
% 0.80/1.21 , clause( 55, [ =( mult( mult( T, mult( X, mult( Y, Z ) ) ), asoc( X, Y, Z
% 0.80/1.21 ) ), mult( T, mult( mult( X, Y ), Z ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.80/1.21 ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 999, [ =( mult( i( mult( X, Y ) ), mult( mult( X, Y ), Z ) ), mult(
% 0.80/1.21 'op_l'( Z, Y, X ), asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , clause( 11, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ),
% 0.80/1.21 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.21 , 0, clause( 993, [ =( mult( X, mult( mult( Y, Z ), T ) ), mult( mult( X,
% 0.80/1.21 mult( Y, mult( Z, T ) ) ), asoc( Y, Z, T ) ) ) ] )
% 0.80/1.21 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.80/1.21 substitution( 1, [ :=( X, i( mult( X, Y ) ) ), :=( Y, X ), :=( Z, Y ),
% 0.80/1.21 :=( T, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 1002, [ =( Z, mult( 'op_l'( Z, Y, X ), asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.80/1.21 , 0, clause( 999, [ =( mult( i( mult( X, Y ) ), mult( mult( X, Y ), Z ) ),
% 0.80/1.21 mult( 'op_l'( Z, Y, X ), asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , 0, 1, substitution( 0, [ :=( X, mult( X, Y ) ), :=( Y, Z )] ),
% 0.80/1.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 1003, [ =( mult( 'op_l'( X, Y, Z ), asoc( Z, Y, X ) ), X ) ] )
% 0.80/1.21 , clause( 1002, [ =( Z, mult( 'op_l'( Z, Y, X ), asoc( X, Y, Z ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 509, [ =( mult( 'op_l'( Z, Y, X ), asoc( X, Y, Z ) ), Z ) ] )
% 0.80/1.21 , clause( 1003, [ =( mult( 'op_l'( X, Y, Z ), asoc( Z, Y, X ) ), X ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.80/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 1005, [ =( X, mult( 'op_l'( X, Y, Z ), asoc( Z, Y, X ) ) ) ] )
% 0.80/1.21 , clause( 509, [ =( mult( 'op_l'( Z, Y, X ), asoc( X, Y, Z ) ), Z ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 1007, [ =( X, mult( 'op_l'( X, Y, asoc( Z, T, U ) ), unit ) ) ] )
% 0.80/1.21 , clause( 20, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.80/1.21 , 0, clause( 1005, [ =( X, mult( 'op_l'( X, Y, Z ), asoc( Z, Y, X ) ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, Y )
% 0.80/1.21 , :=( U, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, asoc(
% 0.80/1.21 Z, T, U ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 1008, [ =( X, 'op_l'( X, Y, asoc( Z, T, U ) ) ) ] )
% 0.80/1.21 , clause( 1, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 , 0, clause( 1007, [ =( X, mult( 'op_l'( X, Y, asoc( Z, T, U ) ), unit ) )
% 0.80/1.21 ] )
% 0.80/1.21 , 0, 2, substitution( 0, [ :=( X, 'op_l'( X, Y, asoc( Z, T, U ) ) )] ),
% 0.80/1.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.80/1.21 , U )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 1009, [ =( 'op_l'( X, Y, asoc( Z, T, U ) ), X ) ] )
% 0.80/1.21 , clause( 1008, [ =( X, 'op_l'( X, Y, asoc( Z, T, U ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.80/1.21 :=( U, U )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 520, [ =( 'op_l'( U, T, asoc( X, Y, Z ) ), U ) ] )
% 0.80/1.21 , clause( 1009, [ =( 'op_l'( X, Y, asoc( Z, T, U ) ), X ) ] )
% 0.80/1.21 , substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, X ), :=( T, Y ), :=( U
% 0.80/1.21 , Z )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 1011, [ =( X, mult( 'op_l'( X, Y, Z ), asoc( Z, Y, X ) ) ) ] )
% 0.80/1.21 , clause( 509, [ =( mult( 'op_l'( Z, Y, X ), asoc( X, Y, Z ) ), Z ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 1013, [ =( asoc( X, Y, Z ), mult( 'op_l'( asoc( X, Y, Z ), T, U ),
% 0.80/1.21 unit ) ) ] )
% 0.80/1.21 , clause( 21, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.80/1.21 , 0, clause( 1011, [ =( X, mult( 'op_l'( X, Y, Z ), asoc( Z, Y, X ) ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, 13, substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, X ), :=( T, Y )
% 0.80/1.21 , :=( U, Z )] ), substitution( 1, [ :=( X, asoc( X, Y, Z ) ), :=( Y, T )
% 0.80/1.21 , :=( Z, U )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 1014, [ =( asoc( X, Y, Z ), 'op_l'( asoc( X, Y, Z ), T, U ) ) ] )
% 0.80/1.21 , clause( 1, [ =( mult( X, unit ), X ) ] )
% 0.80/1.21 , 0, clause( 1013, [ =( asoc( X, Y, Z ), mult( 'op_l'( asoc( X, Y, Z ), T,
% 0.80/1.21 U ), unit ) ) ] )
% 0.80/1.21 , 0, 5, substitution( 0, [ :=( X, 'op_l'( asoc( X, Y, Z ), T, U ) )] ),
% 0.80/1.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.80/1.21 , U )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 1015, [ =( 'op_l'( asoc( X, Y, Z ), T, U ), asoc( X, Y, Z ) ) ] )
% 0.80/1.21 , clause( 1014, [ =( asoc( X, Y, Z ), 'op_l'( asoc( X, Y, Z ), T, U ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.80/1.21 :=( U, U )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 521, [ =( 'op_l'( asoc( Z, T, U ), Y, X ), asoc( Z, T, U ) ) ] )
% 0.80/1.21 , clause( 1015, [ =( 'op_l'( asoc( X, Y, Z ), T, U ), asoc( X, Y, Z ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, Y ), :=( U
% 0.80/1.21 , X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqswap(
% 0.80/1.21 clause( 1017, [ =( mult( mult( X, Y ), mult( X, Z ) ), mult( mult( mult( X
% 0.80/1.21 , mult( Y, X ) ), Z ), asoc( X, Y, mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , clause( 58, [ =( mult( mult( mult( X, mult( Y, X ) ), Z ), asoc( X, Y,
% 0.80/1.21 mult( X, Z ) ) ), mult( mult( X, Y ), mult( X, Z ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 1024, [ =( mult( mult( X, Y ), mult( X, i( mult( X, mult( Y, X ) )
% 0.80/1.21 ) ) ), mult( unit, asoc( X, Y, mult( X, i( mult( X, mult( Y, X ) ) ) ) )
% 0.80/1.21 ) ) ] )
% 0.80/1.21 , clause( 2, [ =( mult( X, i( X ) ), unit ) ] )
% 0.80/1.21 , 0, clause( 1017, [ =( mult( mult( X, Y ), mult( X, Z ) ), mult( mult(
% 0.80/1.21 mult( X, mult( Y, X ) ), Z ), asoc( X, Y, mult( X, Z ) ) ) ) ] )
% 0.80/1.21 , 0, 14, substitution( 0, [ :=( X, mult( X, mult( Y, X ) ) )] ),
% 0.80/1.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, i( mult( X, mult( Y, X
% 0.80/1.21 ) ) ) )] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 1027, [ =( mult( mult( X, Y ), mult( X, i( mult( X, mult( Y, X ) )
% 0.80/1.21 ) ) ), asoc( X, Y, mult( X, i( mult( X, mult( Y, X ) ) ) ) ) ) ] )
% 0.80/1.21 , clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.80/1.21 , 0, clause( 1024, [ =( mult( mult( X, Y ), mult( X, i( mult( X, mult( Y, X
% 0.80/1.21 ) ) ) ) ), mult( unit, asoc( X, Y, mult( X, i( mult( X, mult( Y, X ) ) )
% 0.80/1.21 ) ) ) ) ] )
% 0.80/1.21 , 0, 13, substitution( 0, [ :=( X, asoc( X, Y, mult( X, i( mult( X, mult( Y
% 0.80/1.21 , X ) ) ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1029, [ =( mult( mult( X, Y ), mult( X, i( mult( X, mult( Y, X ) )
% 0.80/1.22 ) ) ), asoc( X, Y, i( mult( Y, X ) ) ) ) ] )
% 0.80/1.22 , clause( 54, [ =( mult( X, i( mult( X, Y ) ) ), i( Y ) ) ] )
% 0.80/1.22 , 0, clause( 1027, [ =( mult( mult( X, Y ), mult( X, i( mult( X, mult( Y, X
% 0.80/1.22 ) ) ) ) ), asoc( X, Y, mult( X, i( mult( X, mult( Y, X ) ) ) ) ) ) ] )
% 0.80/1.22 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, mult( Y, X ) )] ),
% 0.80/1.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1030, [ =( mult( mult( X, Y ), i( mult( Y, X ) ) ), asoc( X, Y, i(
% 0.80/1.22 mult( Y, X ) ) ) ) ] )
% 0.80/1.22 , clause( 54, [ =( mult( X, i( mult( X, Y ) ) ), i( Y ) ) ] )
% 0.80/1.22 , 0, clause( 1029, [ =( mult( mult( X, Y ), mult( X, i( mult( X, mult( Y, X
% 0.80/1.22 ) ) ) ) ), asoc( X, Y, i( mult( Y, X ) ) ) ) ] )
% 0.80/1.22 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, mult( Y, X ) )] ),
% 0.80/1.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1031, [ =( i( 'op_k'( Y, X ) ), asoc( X, Y, i( mult( Y, X ) ) ) ) ]
% 0.80/1.22 )
% 0.80/1.22 , clause( 241, [ =( mult( mult( X, Y ), i( mult( Y, X ) ) ), i( 'op_k'( Y,
% 0.80/1.22 X ) ) ) ] )
% 0.80/1.22 , 0, clause( 1030, [ =( mult( mult( X, Y ), i( mult( Y, X ) ) ), asoc( X, Y
% 0.80/1.22 , i( mult( Y, X ) ) ) ) ] )
% 0.80/1.22 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.22 :=( X, X ), :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1032, [ =( asoc( Y, X, i( mult( X, Y ) ) ), i( 'op_k'( X, Y ) ) ) ]
% 0.80/1.22 )
% 0.80/1.22 , clause( 1031, [ =( i( 'op_k'( Y, X ) ), asoc( X, Y, i( mult( Y, X ) ) ) )
% 0.80/1.22 ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 551, [ =( asoc( X, Y, i( mult( Y, X ) ) ), i( 'op_k'( Y, X ) ) ) ]
% 0.80/1.22 )
% 0.80/1.22 , clause( 1032, [ =( asoc( Y, X, i( mult( X, Y ) ) ), i( 'op_k'( X, Y ) ) )
% 0.80/1.22 ] )
% 0.80/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.22 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1034, [ =( mult( mult( X, i( Z ) ), mult( Z, Y ) ), mult( mult( X,
% 0.80/1.22 Y ), asoc( X, i( Z ), mult( Z, Y ) ) ) ) ] )
% 0.80/1.22 , clause( 62, [ =( mult( mult( Z, Y ), asoc( Z, i( X ), mult( X, Y ) ) ),
% 0.80/1.22 mult( mult( Z, i( X ) ), mult( X, Y ) ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1041, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), mult( unit
% 0.80/1.22 , asoc( i( X ), i( Y ), mult( Y, X ) ) ) ) ] )
% 0.80/1.22 , clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.80/1.22 , 0, clause( 1034, [ =( mult( mult( X, i( Z ) ), mult( Z, Y ) ), mult( mult(
% 0.80/1.22 X, Y ), asoc( X, i( Z ), mult( Z, Y ) ) ) ) ] )
% 0.80/1.22 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 0.80/1.22 ), :=( Y, X ), :=( Z, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1043, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), asoc( i( X
% 0.80/1.22 ), i( Y ), mult( Y, X ) ) ) ] )
% 0.80/1.22 , clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.80/1.22 , 0, clause( 1041, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), mult(
% 0.80/1.22 unit, asoc( i( X ), i( Y ), mult( Y, X ) ) ) ) ] )
% 0.80/1.22 , 0, 10, substitution( 0, [ :=( X, asoc( i( X ), i( Y ), mult( Y, X ) ) )] )
% 0.80/1.22 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1044, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), asoc( i( X ), i(
% 0.80/1.22 Y ), mult( Y, X ) ) ) ] )
% 0.80/1.22 , clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.80/1.22 , 0, clause( 1043, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), asoc(
% 0.80/1.22 i( X ), i( Y ), mult( Y, X ) ) ) ] )
% 0.80/1.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.22 :=( X, X ), :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1045, [ =( 'op_k'( Y, X ), asoc( i( X ), i( Y ), mult( Y, X ) ) ) ]
% 0.80/1.22 )
% 0.80/1.22 , clause( 83, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), 'op_k'( Y, X )
% 0.80/1.22 ) ] )
% 0.80/1.22 , 0, clause( 1044, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), asoc( i( X
% 0.80/1.22 ), i( Y ), mult( Y, X ) ) ) ] )
% 0.80/1.22 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.22 :=( X, X ), :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1046, [ =( asoc( i( Y ), i( X ), mult( X, Y ) ), 'op_k'( X, Y ) ) ]
% 0.80/1.22 )
% 0.80/1.22 , clause( 1045, [ =( 'op_k'( Y, X ), asoc( i( X ), i( Y ), mult( Y, X ) ) )
% 0.80/1.22 ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) ) ]
% 0.80/1.22 )
% 0.80/1.22 , clause( 1046, [ =( asoc( i( Y ), i( X ), mult( X, Y ) ), 'op_k'( X, Y ) )
% 0.80/1.22 ] )
% 0.80/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.22 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1048, [ =( X, 'op_l'( X, Y, asoc( Z, T, U ) ) ) ] )
% 0.80/1.22 , clause( 520, [ =( 'op_l'( U, T, asoc( X, Y, Z ) ), U ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, Y ),
% 0.80/1.22 :=( U, X )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1049, [ =( X, 'op_l'( X, Y, 'op_k'( T, Z ) ) ) ] )
% 0.80/1.22 , clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.80/1.22 ] )
% 0.80/1.22 , 0, clause( 1048, [ =( X, 'op_l'( X, Y, asoc( Z, T, U ) ) ) ] )
% 0.80/1.22 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, T )] ), substitution( 1, [
% 0.80/1.22 :=( X, X ), :=( Y, Y ), :=( Z, i( Z ) ), :=( T, i( T ) ), :=( U, mult( T
% 0.80/1.22 , Z ) )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1050, [ =( 'op_l'( X, Y, 'op_k'( Z, T ) ), X ) ] )
% 0.80/1.22 , clause( 1049, [ =( X, 'op_l'( X, Y, 'op_k'( T, Z ) ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 590, [ =( 'op_l'( Z, T, 'op_k'( Y, X ) ), Z ) ] )
% 0.80/1.22 , clause( 1050, [ =( 'op_l'( X, Y, 'op_k'( Z, T ) ), X ) ] )
% 0.80/1.22 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] ),
% 0.80/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1052, [ =( 'op_k'( Y, X ), asoc( i( X ), i( Y ), mult( Y, X ) ) ) ]
% 0.80/1.22 )
% 0.80/1.22 , clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.80/1.22 ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1056, [ =( 'op_k'( i( X ), i( Y ) ), asoc( i( i( Y ) ), i( i( X ) )
% 0.80/1.22 , i( mult( X, Y ) ) ) ) ] )
% 0.80/1.22 , clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.80/1.22 , 0, clause( 1052, [ =( 'op_k'( Y, X ), asoc( i( X ), i( Y ), mult( Y, X )
% 0.80/1.22 ) ) ] )
% 0.80/1.22 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.80/1.22 :=( X, i( Y ) ), :=( Y, i( X ) )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1058, [ =( 'op_k'( i( X ), i( Y ) ), asoc( i( i( Y ) ), X, i( mult(
% 0.80/1.22 X, Y ) ) ) ) ] )
% 0.80/1.22 , clause( 32, [ =( i( i( X ) ), X ) ] )
% 0.80/1.22 , 0, clause( 1056, [ =( 'op_k'( i( X ), i( Y ) ), asoc( i( i( Y ) ), i( i(
% 0.80/1.22 X ) ), i( mult( X, Y ) ) ) ) ] )
% 0.80/1.22 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.80/1.22 :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1060, [ =( 'op_k'( i( X ), i( Y ) ), asoc( Y, X, i( mult( X, Y ) )
% 0.80/1.22 ) ) ] )
% 0.80/1.22 , clause( 32, [ =( i( i( X ) ), X ) ] )
% 0.80/1.22 , 0, clause( 1058, [ =( 'op_k'( i( X ), i( Y ) ), asoc( i( i( Y ) ), X, i(
% 0.80/1.22 mult( X, Y ) ) ) ) ] )
% 0.80/1.22 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.80/1.22 :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1061, [ =( 'op_k'( i( X ), i( Y ) ), i( 'op_k'( X, Y ) ) ) ] )
% 0.80/1.22 , clause( 551, [ =( asoc( X, Y, i( mult( Y, X ) ) ), i( 'op_k'( Y, X ) ) )
% 0.80/1.22 ] )
% 0.80/1.22 , 0, clause( 1060, [ =( 'op_k'( i( X ), i( Y ) ), asoc( Y, X, i( mult( X, Y
% 0.80/1.22 ) ) ) ) ] )
% 0.80/1.22 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.80/1.22 :=( X, X ), :=( Y, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 603, [ =( 'op_k'( i( X ), i( Y ) ), i( 'op_k'( X, Y ) ) ) ] )
% 0.80/1.22 , clause( 1061, [ =( 'op_k'( i( X ), i( Y ) ), i( 'op_k'( X, Y ) ) ) ] )
% 0.80/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.22 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1064, [ =( X, 'op_l'( X, Y, 'op_k'( Z, T ) ) ) ] )
% 0.80/1.22 , clause( 590, [ =( 'op_l'( Z, T, 'op_k'( Y, X ) ), Z ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1065, [ =( X, 'op_l'( X, Y, i( 'op_k'( Z, T ) ) ) ) ] )
% 0.80/1.22 , clause( 603, [ =( 'op_k'( i( X ), i( Y ) ), i( 'op_k'( X, Y ) ) ) ] )
% 0.80/1.22 , 0, clause( 1064, [ =( X, 'op_l'( X, Y, 'op_k'( Z, T ) ) ) ] )
% 0.80/1.22 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, T )] ), substitution( 1, [
% 0.80/1.22 :=( X, X ), :=( Y, Y ), :=( Z, i( Z ) ), :=( T, i( T ) )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1066, [ =( 'op_l'( X, Y, i( 'op_k'( Z, T ) ) ), X ) ] )
% 0.80/1.22 , clause( 1065, [ =( X, 'op_l'( X, Y, i( 'op_k'( Z, T ) ) ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 614, [ =( 'op_l'( Z, T, i( 'op_k'( X, Y ) ) ), Z ) ] )
% 0.80/1.22 , clause( 1066, [ =( 'op_l'( X, Y, i( 'op_k'( Z, T ) ) ), X ) ] )
% 0.80/1.22 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] ),
% 0.80/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1067, [ =( X, 'op_l'( X, Y, i( 'op_k'( Z, T ) ) ) ) ] )
% 0.80/1.22 , clause( 614, [ =( 'op_l'( Z, T, i( 'op_k'( X, Y ) ) ), Z ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1069, [ =( X, 'op_l'( X, 'op_k'( Y, Z ), T ) ) ] )
% 0.80/1.22 , clause( 497, [ =( 'op_l'( Z, mult( X, Y ), i( X ) ), 'op_l'( Z, X, Y ) )
% 0.80/1.22 ] )
% 0.80/1.22 , 0, clause( 1067, [ =( X, 'op_l'( X, Y, i( 'op_k'( Z, T ) ) ) ) ] )
% 0.80/1.22 , 0, 2, substitution( 0, [ :=( X, 'op_k'( Y, Z ) ), :=( Y, T ), :=( Z, X )] )
% 0.80/1.22 , substitution( 1, [ :=( X, X ), :=( Y, mult( 'op_k'( Y, Z ), T ) ), :=(
% 0.80/1.22 Z, Y ), :=( T, Z )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1070, [ =( 'op_l'( X, 'op_k'( Y, Z ), T ), X ) ] )
% 0.80/1.22 , clause( 1069, [ =( X, 'op_l'( X, 'op_k'( Y, Z ), T ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 629, [ =( 'op_l'( X, 'op_k'( Y, Z ), T ), X ) ] )
% 0.80/1.22 , clause( 1070, [ =( 'op_l'( X, 'op_k'( Y, Z ), T ), X ) ] )
% 0.80/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.80/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1072, [ =( X, mult( 'op_l'( X, Y, Z ), asoc( Z, Y, X ) ) ) ] )
% 0.80/1.22 , clause( 509, [ =( mult( 'op_l'( Z, Y, X ), asoc( X, Y, Z ) ), Z ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1073, [ =( X, mult( X, asoc( T, 'op_k'( Y, Z ), X ) ) ) ] )
% 0.80/1.22 , clause( 629, [ =( 'op_l'( X, 'op_k'( Y, Z ), T ), X ) ] )
% 0.80/1.22 , 0, clause( 1072, [ =( X, mult( 'op_l'( X, Y, Z ), asoc( Z, Y, X ) ) ) ]
% 0.80/1.22 )
% 0.80/1.22 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.80/1.22 , substitution( 1, [ :=( X, X ), :=( Y, 'op_k'( Y, Z ) ), :=( Z, T )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1074, [ =( mult( X, asoc( Y, 'op_k'( Z, T ), X ) ), X ) ] )
% 0.80/1.22 , clause( 1073, [ =( X, mult( X, asoc( T, 'op_k'( Y, Z ), X ) ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 632, [ =( mult( X, asoc( T, 'op_k'( Y, Z ), X ) ), X ) ] )
% 0.80/1.22 , clause( 1074, [ =( mult( X, asoc( Y, 'op_k'( Z, T ), X ) ), X ) ] )
% 0.80/1.22 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 0.80/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1076, [ =( 'op_l'( Z, Y, X ), mult( i( mult( X, Y ) ), mult( X,
% 0.80/1.22 mult( Y, Z ) ) ) ) ] )
% 0.80/1.22 , clause( 11, [ =( mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) ) ),
% 0.80/1.22 'op_l'( X, Y, Z ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1080, [ =( 'op_l'( asoc( X, 'op_k'( Y, Z ), T ), T, U ), mult( i(
% 0.80/1.22 mult( U, T ) ), mult( U, T ) ) ) ] )
% 0.80/1.22 , clause( 632, [ =( mult( X, asoc( T, 'op_k'( Y, Z ), X ) ), X ) ] )
% 0.80/1.22 , 0, clause( 1076, [ =( 'op_l'( Z, Y, X ), mult( i( mult( X, Y ) ), mult( X
% 0.80/1.22 , mult( Y, Z ) ) ) ) ] )
% 0.80/1.22 , 0, 17, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.80/1.22 , substitution( 1, [ :=( X, U ), :=( Y, T ), :=( Z, asoc( X, 'op_k'( Y, Z
% 0.80/1.22 ), T ) )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1081, [ =( 'op_l'( asoc( X, 'op_k'( Y, Z ), T ), T, U ), unit ) ]
% 0.80/1.22 )
% 0.80/1.22 , clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.80/1.22 , 0, clause( 1080, [ =( 'op_l'( asoc( X, 'op_k'( Y, Z ), T ), T, U ), mult(
% 0.80/1.22 i( mult( U, T ) ), mult( U, T ) ) ) ] )
% 0.80/1.22 , 0, 10, substitution( 0, [ :=( X, mult( U, T ) )] ), substitution( 1, [
% 0.80/1.22 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1082, [ =( asoc( X, 'op_k'( Y, Z ), T ), unit ) ] )
% 0.80/1.22 , clause( 521, [ =( 'op_l'( asoc( Z, T, U ), Y, X ), asoc( Z, T, U ) ) ] )
% 0.80/1.22 , 0, clause( 1081, [ =( 'op_l'( asoc( X, 'op_k'( Y, Z ), T ), T, U ), unit
% 0.80/1.22 ) ] )
% 0.80/1.22 , 0, 1, substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, X ), :=( T,
% 0.80/1.22 'op_k'( Y, Z ) ), :=( U, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.80/1.22 ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 643, [ =( asoc( Y, 'op_k'( Z, T ), X ), unit ) ] )
% 0.80/1.22 , clause( 1082, [ =( asoc( X, 'op_k'( Y, Z ), T ), unit ) ] )
% 0.80/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] ),
% 0.80/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1085, [ =( unit, asoc( X, 'op_k'( Y, Z ), T ) ) ] )
% 0.80/1.22 , clause( 643, [ =( asoc( Y, 'op_k'( Z, T ), X ), unit ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1086, [ =( unit, asoc( X, i( 'op_k'( Y, Z ) ), T ) ) ] )
% 0.80/1.22 , clause( 603, [ =( 'op_k'( i( X ), i( Y ) ), i( 'op_k'( X, Y ) ) ) ] )
% 0.80/1.22 , 0, clause( 1085, [ =( unit, asoc( X, 'op_k'( Y, Z ), T ) ) ] )
% 0.80/1.22 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.80/1.22 :=( X, X ), :=( Y, i( Y ) ), :=( Z, i( Z ) ), :=( T, T )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1087, [ =( asoc( X, i( 'op_k'( Y, Z ) ), T ), unit ) ] )
% 0.80/1.22 , clause( 1086, [ =( unit, asoc( X, i( 'op_k'( Y, Z ) ), T ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 644, [ =( asoc( Z, i( 'op_k'( X, Y ) ), T ), unit ) ] )
% 0.80/1.22 , clause( 1087, [ =( asoc( X, i( 'op_k'( Y, Z ) ), T ), unit ) ] )
% 0.80/1.22 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 0.80/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1088, [ =( unit, asoc( X, i( 'op_k'( Y, Z ) ), T ) ) ] )
% 0.80/1.22 , clause( 644, [ =( asoc( Z, i( 'op_k'( X, Y ) ), T ), unit ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] )
% 0.80/1.22 ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 paramod(
% 0.80/1.22 clause( 1090, [ =( unit, 'op_k'( 'op_k'( Y, Z ), X ) ) ] )
% 0.80/1.22 , clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.80/1.22 ] )
% 0.80/1.22 , 0, clause( 1088, [ =( unit, asoc( X, i( 'op_k'( Y, Z ) ), T ) ) ] )
% 0.80/1.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'op_k'( Y, Z ) )] ),
% 0.80/1.22 substitution( 1, [ :=( X, i( X ) ), :=( Y, Y ), :=( Z, Z ), :=( T, mult(
% 0.80/1.22 'op_k'( Y, Z ), X ) )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1091, [ =( 'op_k'( 'op_k'( X, Y ), Z ), unit ) ] )
% 0.80/1.22 , clause( 1090, [ =( unit, 'op_k'( 'op_k'( Y, Z ), X ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 648, [ =( 'op_k'( 'op_k'( Y, Z ), X ), unit ) ] )
% 0.80/1.22 , clause( 1091, [ =( 'op_k'( 'op_k'( X, Y ), Z ), unit ) ] )
% 0.80/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.80/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1092, [ =( unit, 'op_k'( 'op_k'( X, Y ), Z ) ) ] )
% 0.80/1.22 , clause( 648, [ =( 'op_k'( 'op_k'( Y, Z ), X ), unit ) ] )
% 0.80/1.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 eqswap(
% 0.80/1.22 clause( 1093, [ ~( =( unit, 'op_k'( 'op_k'( a, b ), c ) ) ) ] )
% 0.80/1.22 , clause( 22, [ ~( =( 'op_k'( 'op_k'( a, b ), c ), unit ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 resolution(
% 0.80/1.22 clause( 1094, [] )
% 0.80/1.22 , clause( 1093, [ ~( =( unit, 'op_k'( 'op_k'( a, b ), c ) ) ) ] )
% 0.80/1.22 , 0, clause( 1092, [ =( unit, 'op_k'( 'op_k'( X, Y ), Z ) ) ] )
% 0.80/1.22 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.80/1.22 Z, c )] )).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 subsumption(
% 0.80/1.22 clause( 650, [] )
% 0.80/1.22 , clause( 1094, [] )
% 0.80/1.22 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 end.
% 0.80/1.22
% 0.80/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.22
% 0.80/1.22 Memory use:
% 0.80/1.22
% 0.80/1.22 space for terms: 9144
% 0.80/1.22 space for clauses: 87080
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 clauses generated: 7480
% 0.80/1.22 clauses kept: 651
% 0.80/1.22 clauses selected: 177
% 0.80/1.22 clauses deleted: 36
% 0.80/1.22 clauses inuse deleted: 0
% 0.80/1.22
% 0.80/1.22 subsentry: 1719
% 0.80/1.22 literals s-matched: 743
% 0.80/1.22 literals matched: 736
% 0.80/1.22 full subsumption: 0
% 0.80/1.22
% 0.80/1.22 checksum: 310388872
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 Bliksem ended
%------------------------------------------------------------------------------