TSTP Solution File: GRP119-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP119-1 : TPTP v6.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n055.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:22:17 EDT 2014
% Result : Unsatisfiable 86.68s
% Output : Refutation 86.68s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP119-1 : TPTP v6.0.0. Bugfixed v1.2.1.
% % Command : tptp2X_and_run_cime %s
% % Computer : n055.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 01:43:28 CDT 2014
% % CPUTime : 86.68
% Processing problem /tmp/CiME_37430_n055.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a,identity : constant; multiply : 2;";
% let X = vars "Y X Z";
% let Axioms = equations F X "
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,multiply(Z,Z)))) = X;
% multiply(identity,identity) = identity;
% ";
%
% let s1 = status F "
% a lr_lex;
% identity lr_lex;
% multiply lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > identity > a";
%
% let s2 = status F "
% a mul;
% identity mul;
% multiply mul;
% ";
%
% let p2 = precedence F "
% multiply > identity = a";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(a,multiply(a,multiply(a,a))) = identity;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { multiply(Y,multiply(multiply(Y,multiply(
% multiply(Y,Y),
% multiply(X,Z))),
% multiply(Z,multiply(Z,Z)))) = X,
% multiply(identity,identity) = identity }
% (2 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(a,multiply(a,multiply(a,a))) =
% identity } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] multiply(identity,identity) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 1
% New rule produced :
% [2]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),
% multiply(Z,multiply(Z,Z)))) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),identity)),identity))
% -> identity
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,identity))),identity))
% -> X
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,identity))),identity))
% -> Y
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% multiply(identity,multiply(multiply(identity,Y),identity)) ->
% multiply(identity,multiply(identity,multiply(Y,identity)))
% Rule
% [5]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,identity))),identity))
% -> Y collapsed.
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))))
% -> Y
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),identity),identity)))
% -> Y
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% multiply(identity,multiply(multiply(multiply(identity,Y),identity),identity))
% ->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% Rule
% [8]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),identity),identity)))
% -> Y collapsed.
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [10]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,X))),
% multiply(X,multiply(X,X)))) -> Y
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,Y),identity),identity),identity)))
% -> multiply(Y,identity)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [12]
% multiply(multiply(identity,Y),identity) ->
% multiply(identity,multiply(Y,identity))
% Rule
% [6]
% multiply(identity,multiply(multiply(identity,Y),identity)) ->
% multiply(identity,multiply(identity,multiply(Y,identity))) collapsed.
% Rule
% [9]
% multiply(identity,multiply(multiply(multiply(identity,Y),identity),identity))
% ->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% collapsed.
% Rule
% [11]
% multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,Y),identity),identity),identity)))
% -> multiply(Y,identity) collapsed.
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [13]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),identity))
% -> multiply(Y,multiply(multiply(Y,identity),identity))
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [14]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,
% multiply(X,identity)))),identity))
% -> multiply(identity,X)
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [15]
% multiply(Y,multiply(multiply(Y,multiply(Y,multiply(multiply(Y,identity),identity))),identity))
% -> multiply(multiply(Y,Y),multiply(Y,Y))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [16]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,identity),identity)),identity))
% -> identity
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [17]
% multiply(Y,multiply(multiply(Y,X),identity)) <->
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(X,identity)))
% Current number of equations to process: 33
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [18]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(X,identity))) <->
% multiply(Y,multiply(multiply(Y,X),identity))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [19]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),identity)),identity))
% -> X
% Rule
% [16]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,identity),identity)),identity))
% -> identity collapsed.
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [20]
% multiply(multiply(Y,multiply(multiply(Y,Y),identity)),identity) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity))
% Rule
% [3]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),identity)),identity))
% -> identity collapsed.
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [21]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)))
% -> identity
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [22]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)))
% -> Y
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [23]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,identity))),identity)
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(X,identity)),identity))
% Rule
% [4]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,identity))),identity))
% -> X collapsed.
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [24]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(X,identity)),identity)))
% -> X
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [25]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,
% multiply(X,identity))),identity)))
% -> multiply(identity,X)
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [26]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% <->
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X)))
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [27]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [28]
% multiply(multiply(identity,multiply(identity,multiply(multiply(identity,Y),X))),
% multiply(X,multiply(X,X))) -> Y
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [29]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,X))),
% multiply(X,multiply(X,X))),identity)) ->
% multiply(Y,identity)
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [30]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(Y,multiply(
% multiply(Y,identity),identity)),identity))
% -> multiply(Y,Y)
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [31]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,
% multiply(identity,
% multiply(X,identity))))),identity))
% -> multiply(identity,multiply(identity,X))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [32]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,multiply(X,identity)))),identity)
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,multiply(X,identity))),identity))
% Rule
% [14]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,
% multiply(X,identity)))),identity))
% -> multiply(identity,X) collapsed.
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [33]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),identity),identity))
% <-> multiply(multiply(Y,multiply(multiply(Y,identity),identity)),identity)
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [34]
% multiply(multiply(Y,multiply(multiply(Y,identity),identity)),identity) <->
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),identity),identity))
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [35]
% multiply(multiply(identity,Y),multiply(multiply(multiply(identity,Y),
% multiply(identity,Y)),multiply(identity,
% multiply(
% multiply(Y,identity),identity))))
% -> identity
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [36]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,
% multiply(identity,
% multiply(X,identity)))),identity)))
% -> multiply(identity,multiply(identity,X))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [37]
% multiply(Y,multiply(multiply(multiply(Y,identity),identity),multiply(
% multiply(
% multiply(Y,identity),identity),
% multiply(
% multiply(Y,identity),identity))))
% -> identity
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [38]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X)))
% <->
% multiply(multiply(identity,multiply(identity,multiply(Y,Z))),multiply(Z,
% multiply(Z,Z)))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [39]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(X,identity)),identity))
% <->
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% Current number of equations to process: 251
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [40]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(X,identity)),identity))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [41]
% multiply(multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),Z))),
% multiply(Z,multiply(Z,Z))) -> Y
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [42]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,Y),
% multiply(
% multiply(Y,identity),identity)),identity))))
% -> multiply(Y,multiply(multiply(Y,Y),identity))
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [43]
% multiply(multiply(multiply(identity,Y),multiply(identity,Y)),multiply(
% multiply(
% multiply(identity,Y),
% multiply(identity,
% multiply(
% multiply(Y,identity),identity))),identity))
% -> identity
% Current number of equations to process: 354
% Current number of ordered equations: 2
% Current number of rules: 34
% New rule produced :
% [44]
% multiply(Y,multiply(multiply(Y,multiply(identity,X)),identity)) <->
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(identity,multiply(X,identity))))
% Current number of equations to process: 363
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [45]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(identity,multiply(X,identity)))) <->
% multiply(Y,multiply(multiply(Y,multiply(identity,X)),identity))
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [46]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),
% multiply(X,identity)),identity))
% <-> multiply(multiply(Y,multiply(multiply(Y,X),identity)),identity)
% Current number of equations to process: 387
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [47]
% multiply(multiply(Y,multiply(multiply(Y,X),identity)),identity) <->
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),
% multiply(X,identity)),identity))
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [48]
% multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,X))),
% multiply(X,multiply(X,X))),identity),identity))
% -> multiply(multiply(Y,identity),identity)
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [49]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,identity),identity),
% multiply(multiply(multiply(Y,identity),identity),
% multiply(multiply(Y,identity),identity)))) -> Y
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [50]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(Y,identity),identity),
% multiply(multiply(Y,identity),identity)))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity))
% Rule
% [37]
% multiply(Y,multiply(multiply(multiply(Y,identity),identity),multiply(
% multiply(
% multiply(Y,identity),identity),
% multiply(
% multiply(Y,identity),identity))))
% -> identity collapsed.
% Rule
% [49]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,identity),identity),
% multiply(multiply(multiply(Y,identity),identity),
% multiply(multiply(Y,identity),identity)))) -> Y
% collapsed.
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [51]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),
% multiply(Y,Y)),a))),
% multiply(a,multiply(a,a))) ->
% multiply(multiply(Y,multiply(Y,multiply(multiply(Y,identity),identity))),identity)
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [52]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))),identity))
% -> multiply(X,multiply(multiply(X,X),identity))
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [53]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(X,X),
% multiply(multiply(X,identity),identity))),identity)))
% -> multiply(X,multiply(multiply(X,X),identity))
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [54]
% multiply(multiply(multiply(identity,multiply(identity,multiply(Y,X))),
% multiply(X,multiply(X,X))),identity) <->
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),a))),
% multiply(a,multiply(a,a)))
% Current number of equations to process: 518
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [55]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),a))),
% multiply(a,multiply(a,a))) <->
% multiply(multiply(multiply(identity,multiply(identity,multiply(Y,X))),
% multiply(X,multiply(X,X))),identity)
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [56]
% multiply(multiply(multiply(identity,multiply(identity,multiply(Y,Z))),
% multiply(Z,multiply(Z,Z))),identity) <->
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),X))),
% multiply(X,multiply(X,X)))
% Rule
% [54]
% multiply(multiply(multiply(identity,multiply(identity,multiply(Y,X))),
% multiply(X,multiply(X,X))),identity) <->
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),a))),
% multiply(a,multiply(a,a))) collapsed.
% Current number of equations to process: 564
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [57]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),X))),
% multiply(X,multiply(X,X))) <->
% multiply(multiply(multiply(identity,multiply(identity,multiply(Y,Z))),
% multiply(Z,multiply(Z,Z))),identity)
% Rule
% [55]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),a))),
% multiply(a,multiply(a,a))) <->
% multiply(multiply(multiply(identity,multiply(identity,multiply(Y,X))),
% multiply(X,multiply(X,X))),identity) collapsed.
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [58]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,
% multiply(identity,
% multiply(identity,
% multiply(X,identity)))))),identity))
% -> multiply(identity,multiply(identity,multiply(identity,X)))
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [59]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),identity)) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,identity))))
% Rule
% [31]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,
% multiply(identity,
% multiply(X,identity))))),identity))
% -> multiply(identity,multiply(identity,X)) collapsed.
% Rule
% [52]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))),identity))
% -> multiply(X,multiply(multiply(X,X),identity)) collapsed.
% Rule
% [58]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,
% multiply(identity,
% multiply(identity,
% multiply(X,identity)))))),identity))
% -> multiply(identity,multiply(identity,multiply(identity,X))) collapsed.
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [60]
% multiply(Y,multiply(multiply(Y,multiply(identity,multiply(identity,multiply(identity,
% multiply(X,identity))))),identity))
% <-> multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X))
% Current number of equations to process: 635
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [61]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X)) <->
% multiply(Y,multiply(multiply(Y,multiply(identity,multiply(identity,multiply(identity,
% multiply(X,identity))))),identity))
% Rule
% [13]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),identity))
% -> multiply(Y,multiply(multiply(Y,identity),identity)) collapsed.
% Rule
% [51]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),
% multiply(Y,Y)),a))),
% multiply(a,multiply(a,a))) ->
% multiply(multiply(Y,multiply(Y,multiply(multiply(Y,identity),identity))),identity)
% collapsed.
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [62]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,multiply(identity,
% multiply(X,identity))))),identity)
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(X,identity)))),identity))
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [63]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,
% multiply(identity,
% multiply(identity,
% multiply(X,identity))))),identity)))
% -> multiply(identity,multiply(identity,multiply(identity,X)))
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [64]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,identity))))
% Rule
% [21]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)))
% -> identity collapsed.
% Rule
% [24]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(X,identity)),identity)))
% -> X collapsed.
% Rule
% [25]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,
% multiply(X,identity))),identity)))
% -> multiply(identity,X) collapsed.
% Rule
% [36]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,
% multiply(identity,
% multiply(X,identity)))),identity)))
% -> multiply(identity,multiply(identity,X)) collapsed.
% Rule
% [53]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(X,X),
% multiply(multiply(X,identity),identity))),identity)))
% -> multiply(X,multiply(multiply(X,X),identity)) collapsed.
% Rule
% [63]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,
% multiply(identity,
% multiply(identity,
% multiply(X,identity))))),identity)))
% -> multiply(identity,multiply(identity,multiply(identity,X))) collapsed.
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [65]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,Y),
% multiply(
% multiply(Y,X),identity)),identity))))
% -> multiply(Y,multiply(multiply(Y,Y),X))
% Rule
% [42]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,Y),
% multiply(
% multiply(Y,identity),identity)),identity))))
% -> multiply(Y,multiply(multiply(Y,Y),identity)) collapsed.
% Current number of equations to process: 732
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [66]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),identity) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))
% Rule
% [20]
% multiply(multiply(Y,multiply(multiply(Y,Y),identity)),identity) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)) collapsed.
% Rule
% [23]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,identity))),identity)
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(X,identity)),identity))
% collapsed.
% Rule
% [32]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,multiply(X,identity)))),identity)
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,multiply(X,identity))),identity))
% collapsed.
% Rule
% [59]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),identity)) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,identity))))
% collapsed.
% Rule
% [62]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,multiply(identity,
% multiply(X,identity))))),identity)
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(X,identity)))),identity))
% collapsed.
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [67]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,Y),X),identity))))
% ->
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))))
% Rule
% [65]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,Y),
% multiply(
% multiply(Y,X),identity)),identity))))
% -> multiply(Y,multiply(multiply(Y,Y),X)) collapsed.
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [68]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,V_3))),multiply(V_3,
% multiply(V_3,V_3)))
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [69]
% multiply(multiply(identity,Y),multiply(multiply(X,multiply(X,X)),multiply(
% multiply(X,
% multiply(X,X)),
% multiply(X,
% multiply(X,X)))))
% -> multiply(identity,multiply(Y,X))
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [70]
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X))
% ->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [71]
% multiply(identity,multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,
% multiply(Y,Y)),
% multiply(Y,multiply(Y,Y)))))
% -> multiply(identity,multiply(identity,Y))
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [72]
% multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X) ->
% multiply(identity,multiply(multiply(Y,identity),identity))
% Rule
% [70]
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X))
% ->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% collapsed.
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [73]
% multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,multiply(Y,Y)),
% multiply(Y,multiply(Y,Y)))) ->
% multiply(identity,Y)
% Rule
% [69]
% multiply(multiply(identity,Y),multiply(multiply(X,multiply(X,X)),multiply(
% multiply(X,
% multiply(X,X)),
% multiply(X,
% multiply(X,X)))))
% -> multiply(identity,multiply(Y,X)) collapsed.
% Rule
% [71]
% multiply(identity,multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,
% multiply(Y,Y)),
% multiply(Y,multiply(Y,Y)))))
% -> multiply(identity,multiply(identity,Y)) collapsed.
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [74]
% multiply(multiply(identity,Y),multiply(identity,X)) ->
% multiply(identity,multiply(Y,X))
% Rule
% [35]
% multiply(multiply(identity,Y),multiply(multiply(multiply(identity,Y),
% multiply(identity,Y)),multiply(identity,
% multiply(
% multiply(Y,identity),identity))))
% -> identity collapsed.
% Rule
% [43]
% multiply(multiply(multiply(identity,Y),multiply(identity,Y)),multiply(
% multiply(
% multiply(identity,Y),
% multiply(identity,
% multiply(
% multiply(Y,identity),identity))),identity))
% -> identity collapsed.
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [75]
% multiply(identity,multiply(multiply(multiply(Z,Z),multiply(multiply(Z,
% multiply(multiply(Z,Y),X)),identity)),identity))
% -> multiply(multiply(identity,Y),X)
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [76]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(Z,
% multiply(Z,Z))))),
% multiply(identity,Z)) -> X
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [77]
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,Y),X)
% Current number of equations to process: 926
% Current number of ordered equations: 2
% Current number of rules: 41
% New rule produced :
% [78]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(
% multiply(Y,identity),identity))),X))
% -> multiply(Y,multiply(identity,X))
% Current number of equations to process: 926
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [79]
% multiply(multiply(identity,Y),X) <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(X,identity),identity)))))
% Rule
% [72]
% multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X) ->
% multiply(identity,multiply(multiply(Y,identity),identity)) collapsed.
% Current number of equations to process: 927
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [80]
% multiply(multiply(identity,multiply(Y,multiply(identity,X))),multiply(X,
% multiply(X,X)))
% -> multiply(identity,multiply(multiply(Y,identity),identity))
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [81]
% multiply(identity,multiply(multiply(multiply(Y,Y),X),identity)) ->
% multiply(multiply(identity,Y),multiply(multiply(Y,X),identity))
% Rule
% [67]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,Y),X),identity))))
% ->
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))))
% collapsed.
% Rule
% [75]
% multiply(identity,multiply(multiply(multiply(Z,Z),multiply(multiply(Z,
% multiply(multiply(Z,Y),X)),identity)),identity))
% -> multiply(multiply(identity,Y),X) collapsed.
% Current number of equations to process: 935
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [82]
% multiply(multiply(identity,Z),multiply(multiply(multiply(Z,Z),multiply(Z,Z)),
% multiply(multiply(multiply(Z,Z),multiply(
% multiply(
% multiply(Z,Y),X),identity)),identity)))
% -> multiply(multiply(identity,Y),X)
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [83]
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(X,Z))),
% multiply(Z,multiply(Z,Z))))) <->
% multiply(multiply(identity,Y),X)
% Current number of equations to process: 934
% Current number of ordered equations: 2
% Current number of rules: 44
% New rule produced :
% [84]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,Z))),
% multiply(Z,multiply(Z,Z))),X)) ->
% multiply(Y,multiply(identity,X))
% Rule
% [29]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,X))),
% multiply(X,multiply(X,X))),identity)) ->
% multiply(Y,identity) collapsed.
% Current number of equations to process: 934
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [85]
% multiply(multiply(identity,Y),X) <->
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(X,Z))),
% multiply(Z,multiply(Z,Z)))))
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [86]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(multiply(identity,Y),
% multiply(multiply(
% multiply(identity,Y),X),identity)),identity))
% -> X
% Current number of equations to process: 933
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [87]
% multiply(multiply(multiply(identity,Y),multiply(multiply(identity,multiply(Y,Y)),X)),identity)
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [88]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),multiply(identity,Z)) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))
% Rule
% [76]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(Z,
% multiply(Z,Z))))),
% multiply(identity,Z)) -> X collapsed.
% Current number of equations to process: 954
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [89]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),multiply(Z,
% multiply(Z,Z)))),Z))
% -> X
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [90]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity)))),identity))
% <-> multiply(multiply(multiply(identity,Y),X),identity)
% Current number of equations to process: 959
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity)))),identity))
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [92]
% multiply(identity,multiply(identity,multiply(Y,multiply(identity,multiply(
% multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,multiply(identity,Y)),X)
% Current number of equations to process: 961
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [93]
% multiply(multiply(identity,multiply(identity,Y)),X) <->
% multiply(identity,multiply(identity,multiply(Y,multiply(identity,multiply(
% multiply(X,identity),identity)))))
% Current number of equations to process: 961
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [94]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(multiply(Y,identity),identity))),X),identity))
% -> multiply(multiply(Y,multiply(identity,X)),identity)
% Current number of equations to process: 968
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [95]
% multiply(identity,multiply(identity,multiply(multiply(identity,multiply(
% multiply(Y,identity),identity)),X)))
% -> multiply(Y,multiply(identity,multiply(identity,X)))
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [96]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,identity),identity),
% multiply(multiply(X,identity),identity)))))
% -> multiply(Y,X)
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [97]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(X,multiply(X,X)))),X))
% -> multiply(identity,multiply(multiply(Y,identity),identity))
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [98]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),identity),identity))
% ->
% multiply(multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)),identity)
% Current number of equations to process: 1010
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [99]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,X))),
% multiply(X,multiply(X,X)))) ->
% multiply(identity,multiply(multiply(Y,identity),identity))
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [100]
% multiply(identity,multiply(multiply(multiply(identity,multiply(Y,Y)),X),identity))
% ->
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% Current number of equations to process: 1019
% Current number of ordered equations: 3
% Current number of rules: 59
% New rule produced :
% [101]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),identity),Z))
% ->
% multiply(multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)),
% multiply(identity,Z))
% Rule
% [98]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),identity),identity))
% ->
% multiply(multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)),identity)
% collapsed.
% Current number of equations to process: 1019
% Current number of ordered equations: 2
% Current number of rules: 59
% New rule produced :
% [102]
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,X),Z),identity)))
% <->
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,Z),identity)))
% Current number of equations to process: 1019
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [103]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,Z),identity)))
% <->
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,X),Z),identity)))
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [104]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% <-> multiply(multiply(multiply(identity,Y),X),multiply(identity,Z))
% Current number of equations to process: 1017
% Current number of ordered equations: 3
% Current number of rules: 62
% New rule produced :
% [105]
% multiply(identity,multiply(Y,multiply(X,multiply(identity,multiply(identity,
% multiply(multiply(Z,identity),identity))))))
% <-> multiply(multiply(identity,Y),multiply(multiply(identity,X),Z))
% Current number of equations to process: 1017
% Current number of ordered equations: 2
% Current number of rules: 63
% New rule produced :
% [106]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),Z)) <->
% multiply(identity,multiply(Y,multiply(X,multiply(identity,multiply(identity,
% multiply(multiply(Z,identity),identity))))))
% Current number of equations to process: 1017
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [107]
% multiply(multiply(multiply(identity,Y),X),multiply(identity,Z)) <->
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [108]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(multiply(Y,identity),identity))),X),Z))
% -> multiply(multiply(Y,multiply(identity,X)),multiply(identity,Z))
% Rule
% [94]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(multiply(Y,identity),identity))),X),identity))
% -> multiply(multiply(Y,multiply(identity,X)),identity) collapsed.
% Current number of equations to process: 1015
% Current number of ordered equations: 2
% Current number of rules: 65
% New rule produced :
% [109]
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% <-> multiply(multiply(identity,Y),multiply(X,multiply(identity,Z)))
% Current number of equations to process: 1015
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [110]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,Z))) <->
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% Current number of equations to process: 1015
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [111]
% multiply(identity,multiply(multiply(Y,identity),identity)) <->
% multiply(identity,multiply(multiply(Y,X),multiply(identity,multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))
% Rule
% [48]
% multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,X))),
% multiply(X,multiply(X,X))),identity),identity))
% -> multiply(multiply(Y,identity),identity) collapsed.
% Current number of equations to process: 1015
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [112]
% multiply(identity,multiply(multiply(Y,X),multiply(identity,multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))
% <-> multiply(identity,multiply(multiply(Y,identity),identity))
% Current number of equations to process: 1015
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [113]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,Y),X))),
% multiply(X,multiply(X,X))) ->
% multiply(identity,multiply(multiply(identity,Y),multiply(multiply(Y,identity),identity)))
% Current number of equations to process: 1014
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [114]
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,X),Z))))
% <->
% multiply(multiply(identity,Y),multiply(V_3,multiply(multiply(V_3,V_3),
% multiply(multiply(V_3,X),Z))))
% Current number of equations to process: 1079
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [115]
% multiply(multiply(identity,Y),multiply(V_3,multiply(multiply(V_3,V_3),
% multiply(multiply(V_3,X),Z)))) <->
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,X),Z))))
% Current number of equations to process: 1079
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [116]
% multiply(identity,multiply(multiply(identity,multiply(multiply(identity,Y),X)),Z))
% <->
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,multiply(multiply(V_3,Y),X)),Z))
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [117]
% multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(a,Y),X)),Z)) <->
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,multiply(multiply(V_3,Y),X)),Z))
% Current number of equations to process: 1101
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [118]
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,multiply(multiply(V_3,Y),X)),Z))
% <-> multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(a,Y),X)),Z))
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [119]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),identity)),X))
% ->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,identity))),X))
% Rule
% [19]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),identity)),identity))
% -> X collapsed.
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [120]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),multiply(identity,Z))),
% multiply(Z,multiply(Z,Z)))) -> X
% Current number of equations to process: 1262
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [121]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),identity)))
% Current number of equations to process: 1265
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [122]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),identity)))
% <-> multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity)
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [123]
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(
% multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X)
% Current number of equations to process: 1329
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [124]
% multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X) <->
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(
% multiply(X,identity),identity)))))
% Current number of equations to process: 1329
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [125]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,identity),identity),X))))
% -> multiply(Y,multiply(identity,multiply(identity,multiply(identity,X))))
% Rule
% [96]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,identity),identity),
% multiply(multiply(X,identity),identity)))))
% -> multiply(Y,X) collapsed.
% Current number of equations to process: 1374
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [126]
% multiply(multiply(Y,multiply(identity,multiply(identity,X))),multiply(X,
% multiply(X,X)))
% -> multiply(multiply(Y,identity),identity)
% Rule
% [99]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,X))),
% multiply(X,multiply(X,X)))) ->
% multiply(identity,multiply(multiply(Y,identity),identity)) collapsed.
% Current number of equations to process: 1379
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [127]
% multiply(multiply(Y,multiply(identity,multiply(X,multiply(X,X)))),X) ->
% multiply(multiply(Y,identity),identity)
% Rule
% [97]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(X,multiply(X,X)))),X))
% -> multiply(identity,multiply(multiply(Y,identity),identity)) collapsed.
% Current number of equations to process: 1399
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [128]
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,X),
% multiply(multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,multiply(identity,Y)),multiply(X,X))
% Current number of equations to process: 1398
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [129]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,X)) <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,X),
% multiply(multiply(X,identity),identity)))))
% Current number of equations to process: 1398
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [130]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,
% multiply(multiply(Y,identity),identity)),X),identity)))
% -> multiply(multiply(Y,multiply(identity,multiply(identity,X))),identity)
% Current number of equations to process: 1397
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [131]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),
% multiply(multiply(Y,identity),identity)),X)))
% -> multiply(multiply(Y,Y),multiply(identity,multiply(identity,X)))
% Current number of equations to process: 1396
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [132]
% multiply(multiply(multiply(identity,Y),multiply(multiply(Y,multiply(Y,Y)),identity)),identity)
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(multiply(Y,Y),identity),identity))
% Current number of equations to process: 1462
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [133]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),multiply(identity,Z))
% <->
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% Current number of equations to process: 1579
% Current number of ordered equations: 3
% Current number of rules: 85
% New rule produced :
% [134]
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),multiply(identity,Z))
% Current number of equations to process: 1579
% Current number of ordered equations: 2
% Current number of rules: 86
% New rule produced :
% [135]
% multiply(identity,multiply(Y,multiply(identity,multiply(X,multiply(identity,
% multiply(multiply(Z,identity),identity))))))
% <->
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,X)),Z))
% Current number of equations to process: 1579
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [136]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,X)),Z))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(X,multiply(identity,
% multiply(multiply(Z,identity),identity))))))
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [137]
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,
% multiply(multiply(X,identity),identity)),Z))))
% <->
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,Z))))
% Current number of equations to process: 1578
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [138]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,Z))))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,
% multiply(multiply(X,identity),identity)),Z))))
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [139]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(X,multiply(X,X))))),
% multiply(identity,X))) ->
% multiply(identity,multiply(multiply(Y,identity),identity))
% Current number of equations to process: 1577
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [140]
% multiply(multiply(Y,X),multiply(identity,multiply(multiply(X,X),multiply(
% multiply(X,identity),identity))))
% <-> multiply(multiply(Y,identity),identity)
% Rule
% [112]
% multiply(identity,multiply(multiply(Y,X),multiply(identity,multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))
% <-> multiply(identity,multiply(multiply(Y,identity),identity)) collapsed.
% Current number of equations to process: 1956
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [141]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,Y),
% multiply(multiply(Y,identity),identity)))))
% -> multiply(identity,multiply(Y,Y))
% Current number of equations to process: 1957
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [142]
% multiply(identity,multiply(identity,multiply(multiply(identity,Y),multiply(
% multiply(Y,identity),identity))))
% -> multiply(Y,Y)
% Rule
% [141]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,Y),
% multiply(multiply(Y,identity),identity)))))
% -> multiply(identity,multiply(Y,Y)) collapsed.
% Current number of equations to process: 1958
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [143]
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,X),
% multiply(multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,Y),multiply(X,X))
% Current number of equations to process: 1975
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [144]
% multiply(multiply(identity,Y),multiply(X,X)) <->
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,X),
% multiply(multiply(X,identity),identity)))))
% Current number of equations to process: 1975
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [145]
% multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(a,Y),multiply(
% multiply(Y,identity),identity))),X))
% -> multiply(multiply(Y,Y),multiply(identity,X))
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [146]
% multiply(multiply(identity,Y),multiply(Z,multiply(multiply(Z,Z),multiply(
% multiply(Z,identity),X))))
% -> multiply(identity,multiply(Y,multiply(identity,multiply(identity,X))))
% Current number of equations to process: 2004
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [147]
% multiply(Y,multiply(identity,multiply(identity,multiply(multiply(identity,X),Z))))
% <->
% multiply(Y,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,X),Z))))
% Current number of equations to process: 2019
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [148]
% multiply(Y,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,X),Z))))
% <-> multiply(Y,multiply(a,multiply(multiply(a,a),multiply(multiply(a,X),Z))))
% Current number of equations to process: 2018
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [149]
% multiply(Y,multiply(a,multiply(multiply(a,a),multiply(multiply(a,X),Z)))) <->
% multiply(Y,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,X),Z))))
% Current number of equations to process: 2018
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [150]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),X)),identity))
% <->
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),identity)))
% Current number of equations to process: 2154
% Current number of ordered equations: 1
% Current number of rules: 100
% Rule [150]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),X)),identity))
% <->
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),identity))) is composed into
% [150]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),X)),identity))
% <->
% multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(a,Y),X)),identity))
% New rule produced :
% [151]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),identity)))
% <->
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),X)),identity))
% Rule
% [130]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,
% multiply(multiply(Y,identity),identity)),X),identity)))
% -> multiply(multiply(Y,multiply(identity,multiply(identity,X))),identity)
% collapsed.
% Current number of equations to process: 2155
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [152]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,identity),Y)),X))
% -> multiply(identity,multiply(multiply(identity,multiply(identity,Y)),X))
% Current number of equations to process: 2155
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [153]
% multiply(multiply(X,X),multiply(multiply(X,multiply(multiply(X,a),Y)),identity))
% ->
% multiply(multiply(a,a),multiply(multiply(a,a),multiply(multiply(a,Y),identity)))
% Current number of equations to process: 2235
% Current number of ordered equations: 0
% Current number of rules: 102
% Rule [150]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),X)),identity))
% <->
% multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(a,Y),X)),identity)) is composed into
% [150]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),X)),identity))
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)))
% New rule produced :
% [154]
% multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(a,Y),X)),identity))
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)))
% Current number of equations to process: 2307
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [155]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),X)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(identity,multiply(Y,identity)),X)))
% Current number of equations to process: 2458
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [156]
% multiply(identity,multiply(identity,multiply(multiply(identity,multiply(Y,identity)),X)))
% <->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),X)))
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [157]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),Z)))
% <->
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,multiply(multiply(V_3,Y),X)),
% multiply(identity,Z)))
% Rule
% [131]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),
% multiply(multiply(Y,identity),identity)),X)))
% -> multiply(multiply(Y,Y),multiply(identity,multiply(identity,X))) collapsed.
% Rule
% [151]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),identity)))
% <->
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),X)),identity))
% collapsed.
% Current number of equations to process: 2473
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [158]
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,multiply(multiply(V_3,Y),
% multiply(identity,X))),Z))
% ->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,X))),Z))
% Rule
% [120]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),multiply(identity,Z))),
% multiply(Z,multiply(Z,Z)))) -> X collapsed.
% Current number of equations to process: 2473
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [159]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,
% multiply(
% multiply(X,identity),identity)),identity))))
% <->
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% Current number of equations to process: 2545
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,
% multiply(
% multiply(X,identity),identity)),identity))))
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [161]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,Y),
% multiply(multiply(Y,identity),identity)))))
% -> multiply(Y,multiply(Y,Y))
% Current number of equations to process: 2666
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [162]
% multiply(multiply(Y,multiply(identity,multiply(identity,multiply(X,multiply(X,X))))),
% multiply(identity,X)) -> multiply(multiply(Y,identity),identity)
% Rule
% [139]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(X,multiply(X,X))))),
% multiply(identity,X))) ->
% multiply(identity,multiply(multiply(Y,identity),identity)) collapsed.
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [163]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(Y,Y)),
% multiply(identity,multiply(multiply(Y,identity),identity)))))
% -> identity
% Current number of equations to process: 2740
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [164]
% multiply(multiply(Y,multiply(identity,multiply(identity,multiply(identity,X)))),
% multiply(identity,multiply(X,multiply(X,X)))) ->
% multiply(multiply(Y,identity),identity)
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [165]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(
% multiply(Y,identity),identity),X),identity))))
% ->
% multiply(multiply(Y,multiply(identity,multiply(identity,multiply(identity,X)))),identity)
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [166]
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(Z,multiply(Z,Z)))),Z)
% ->
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)),identity)
% Current number of equations to process: 2766
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [167]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))))
% <->
% multiply(identity,multiply(identity,multiply(multiply(identity,Y),multiply(
% multiply(Y,X),identity))))
% Current number of equations to process: 2918
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [168]
% multiply(identity,multiply(identity,multiply(multiply(identity,Y),multiply(
% multiply(Y,X),identity))))
% <->
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))))
% Current number of equations to process: 2918
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [169]
% multiply(multiply(Y,multiply(X,X)),multiply(identity,multiply(multiply(X,
% multiply(
% multiply(X,identity),identity)),identity)))
% -> multiply(multiply(Y,identity),identity)
% Current number of equations to process: 3418
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [170]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,Y)))),Y)
% -> multiply(identity,multiply(Y,Y))
% Current number of equations to process: 3521
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [171]
% multiply(identity,multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),
% multiply(multiply(Y,identity),identity)))))
% -> multiply(identity,multiply(Y,Y))
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [172]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(Y,Y)),
% multiply(multiply(multiply(identity,Y),X),identity)))
% ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,identity))))
% Current number of equations to process: 3651
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [173]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(a,Y),
% multiply(
% multiply(Y,identity),identity)),identity))))
% -> multiply(a,multiply(multiply(Y,Y),identity))
% Current number of equations to process: 3653
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [174]
% multiply(multiply(a,multiply(multiply(Y,Y),multiply(identity,X))),multiply(X,
% multiply(X,X)))
% -> multiply(multiply(a,Y),multiply(multiply(Y,identity),identity))
% Current number of equations to process: 3658
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [175]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),multiply(
% multiply(X,identity),identity))),Z))
% -> multiply(multiply(X,X),multiply(identity,Z))
% Rule
% [145]
% multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(a,Y),multiply(
% multiply(Y,identity),identity))),X))
% -> multiply(multiply(Y,Y),multiply(identity,X)) collapsed.
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [176]
% multiply(Y,multiply(X,multiply(multiply(X,X),multiply(multiply(X,identity),Z))))
% -> multiply(Y,multiply(identity,multiply(identity,multiply(identity,Z))))
% Rule
% [146]
% multiply(multiply(identity,Y),multiply(Z,multiply(multiply(Z,Z),multiply(
% multiply(Z,identity),X))))
% -> multiply(identity,multiply(Y,multiply(identity,multiply(identity,X))))
% collapsed.
% Current number of equations to process: 3708
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [177]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))) <->
% multiply(identity,multiply(identity,multiply(multiply(identity,X),Z)))
% Rule
% [167]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))))
% <->
% multiply(identity,multiply(identity,multiply(multiply(identity,Y),multiply(
% multiply(Y,X),identity))))
% collapsed.
% Current number of equations to process: 3720
% Current number of ordered equations: 1
% Current number of rules: 119
% Rule [177]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))) <->
% multiply(identity,multiply(identity,multiply(multiply(identity,X),Z))) is composed into
% [177]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))) <->
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,X),Z)))
% Rule [155]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),X)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(identity,multiply(Y,identity)),X))) is composed into
% [155]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),X)))
% <->
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(Y,identity)),X)))
% New rule produced :
% [178]
% multiply(identity,multiply(identity,multiply(multiply(identity,X),Z))) <->
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),Z)))
% Rule
% [28]
% multiply(multiply(identity,multiply(identity,multiply(multiply(identity,Y),X))),
% multiply(X,multiply(X,X))) -> Y collapsed.
% Rule
% [95]
% multiply(identity,multiply(identity,multiply(multiply(identity,multiply(
% multiply(Y,identity),identity)),X)))
% -> multiply(Y,multiply(identity,multiply(identity,X))) collapsed.
% Rule
% [142]
% multiply(identity,multiply(identity,multiply(multiply(identity,Y),multiply(
% multiply(Y,identity),identity))))
% -> multiply(Y,Y) collapsed.
% Rule
% [147]
% multiply(Y,multiply(identity,multiply(identity,multiply(multiply(identity,X),Z))))
% <->
% multiply(Y,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,X),Z))))
% collapsed.
% Rule
% [156]
% multiply(identity,multiply(identity,multiply(multiply(identity,multiply(Y,identity)),X)))
% <->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),X)))
% collapsed.
% Rule
% [168]
% multiply(identity,multiply(identity,multiply(multiply(identity,Y),multiply(
% multiply(Y,X),identity))))
% <->
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))))
% collapsed.
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [179]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,Y),multiply(multiply(Y,identity),identity))))
% -> multiply(Y,Y)
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [180]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,identity),identity)),X)))
% -> multiply(Y,multiply(identity,multiply(identity,X)))
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [181]
% multiply(Y,multiply(X,multiply(multiply(X,X),multiply(multiply(X,a),multiply(
% multiply(a,identity),identity)))))
% -> multiply(Y,multiply(a,a))
% Current number of equations to process: 3977
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [182]
% multiply(multiply(Y,multiply(identity,multiply(multiply(identity,multiply(identity,X)),Z))),
% multiply(Z,multiply(Z,Z))) -> multiply(multiply(Y,identity),X)
% Current number of equations to process: 4187
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [183]
% multiply(Y,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,X),
% multiply(identity,Z)))))
% ->
% multiply(Y,multiply(identity,multiply(identity,multiply(identity,multiply(X,Z)))))
% Current number of equations to process: 4233
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [184]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,X)),identity)))
% ->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,X),identity))))
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [185]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,identity),Y))) ->
% multiply(identity,multiply(identity,multiply(identity,Y)))
% Current number of equations to process: 4273
% Current number of ordered equations: 0
% Current number of rules: 121
% Rule [157]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),Z)))
% <->
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,multiply(multiply(V_3,Y),X)),
% multiply(identity,Z))) is composed into
% [157]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),Z)))
% <->
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,identity),multiply(multiply(
% multiply(V_3,Y),X),Z)))
% Rule [108]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(multiply(Y,identity),identity))),X),Z))
% -> multiply(multiply(Y,multiply(identity,X)),multiply(identity,Z)) is composed into
% [108]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(multiply(Y,identity),identity))),X),Z))
% -> multiply(multiply(Y,identity),multiply(multiply(identity,X),Z))
% Rule [101]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),identity),Z))
% ->
% multiply(multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)),
% multiply(identity,Z)) is composed into [101]
% multiply(identity,multiply(
% multiply(
% multiply(
% multiply(Y,Y),X),identity),Z))
% ->
% multiply(multiply(multiply(identity,Y),identity),
% multiply(multiply(multiply(Y,X),identity),Z))
% Rule [44]
% multiply(Y,multiply(multiply(Y,multiply(identity,X)),identity)) <->
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(identity,multiply(X,identity)))) is composed into
% [44]
% multiply(Y,multiply(multiply(Y,multiply(identity,X)),identity)) <->
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),identity),multiply(
% multiply(Y,Y),
% multiply(X,identity))))
% New rule produced :
% [186]
% multiply(multiply(Y,X),multiply(identity,Z)) <->
% multiply(multiply(Y,identity),multiply(X,Z))
% Rule
% [45]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(identity,multiply(X,identity)))) <->
% multiply(Y,multiply(multiply(Y,multiply(identity,X)),identity)) collapsed.
% Rule
% [88]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),multiply(identity,Z)) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),Z)) collapsed.
% Rule
% [162]
% multiply(multiply(Y,multiply(identity,multiply(identity,multiply(X,multiply(X,X))))),
% multiply(identity,X)) -> multiply(multiply(Y,identity),identity) collapsed.
% Rule
% [163]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(Y,Y)),
% multiply(identity,multiply(multiply(Y,identity),identity)))))
% -> identity collapsed.
% Rule
% [164]
% multiply(multiply(Y,multiply(identity,multiply(identity,multiply(identity,X)))),
% multiply(identity,multiply(X,multiply(X,X)))) ->
% multiply(multiply(Y,identity),identity) collapsed.
% Rule
% [169]
% multiply(multiply(Y,multiply(X,X)),multiply(identity,multiply(multiply(X,
% multiply(
% multiply(X,identity),identity)),identity)))
% -> multiply(multiply(Y,identity),identity) collapsed.
% Current number of equations to process: 4453
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [187]
% multiply(multiply(Y,identity),multiply(X,Z)) <->
% multiply(multiply(Y,X),multiply(identity,Z))
% Current number of equations to process: 4453
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [188]
% multiply(multiply(Y,identity),multiply(multiply(multiply(Y,Y),X),Z)) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))
% Current number of equations to process: 4452
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [189]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(
% multiply(Y,Y),
% multiply(
% multiply(Y,identity),identity)))))
% -> identity
% Current number of equations to process: 4451
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [190]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),Y),identity)
% -> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% Current number of equations to process: 4548
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [191]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,
% multiply(
% multiply(Y,identity),identity)),identity))))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% Current number of equations to process: 4552
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [192]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))),Y)
% -> multiply(Y,multiply(Y,Y))
% Current number of equations to process: 4720
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [193]
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(multiply(identity,
% multiply(Y,Y)),X),Z))
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(multiply(identity,Y),X),Z))
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [194]
% multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(identity,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))
% <-> multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)
% Current number of equations to process: 4741
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [195]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(identity,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))
% Rule
% [66]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),identity) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)) collapsed.
% Current number of equations to process: 4741
% Current number of ordered equations: 0
% Current number of rules: 124
% Rule [165]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(
% multiply(Y,identity),identity),X),identity))))
% ->
% multiply(multiply(Y,multiply(identity,multiply(identity,multiply(identity,X)))),identity) is composed into
% [165]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(
% multiply(Y,identity),identity),X),identity))))
% ->
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(identity,identity),
% multiply(identity,multiply(X,identity)))))
% Rule [121]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(
% multiply(X,identity),identity))),identity))) is composed into
% [121]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),identity),identity)))))
% Rule [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(
% multiply(X,identity),identity)))),identity)) is composed into
% [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,
% multiply(
% multiply(X,identity),identity)),identity))))
% Rule [61]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X))
% <->
% multiply(Y,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(identity,
% multiply(X,identity))))),identity)) is composed into
% [61]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X)) <->
% multiply(Y,multiply(multiply(Y,identity),multiply(identity,multiply(multiply(identity,identity),
% multiply(identity,
% multiply(multiply(X,identity),identity))))))
% New rule produced :
% [196]
% multiply(multiply(Y,multiply(identity,X)),identity) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(X,identity)))
% Rule
% [44]
% multiply(Y,multiply(multiply(Y,multiply(identity,X)),identity)) <->
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),identity),multiply(
% multiply(Y,Y),
% multiply(X,identity))))
% collapsed.
% Rule
% [60]
% multiply(Y,multiply(multiply(Y,multiply(identity,multiply(identity,multiply(identity,
% multiply(X,identity))))),identity))
% <-> multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X))
% collapsed.
% Rule
% [90]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity)))),identity))
% <-> multiply(multiply(multiply(identity,Y),X),identity) collapsed.
% Rule
% [122]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),identity)))
% <-> multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity)
% collapsed.
% Rule
% [184]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,X)),identity)))
% ->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,X),identity))))
% collapsed.
% Current number of equations to process: 4781
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [197]
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% <-> multiply(multiply(multiply(identity,Y),X),identity)
% Current number of equations to process: 4785
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [198]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% Current number of equations to process: 4785
% Current number of ordered equations: 0
% Current number of rules: 122
% Rule [166]
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(Z,
% multiply(Z,Z)))),Z)
% ->
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)),identity) is composed into
% [166]
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(Z,multiply(Z,Z)))),Z)
% ->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,X),identity),identity))
% New rule produced :
% [199]
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)),identity)
% ->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,X),identity),identity))
% Current number of equations to process: 4811
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [200]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,X),identity),identity)))
% -> X
% Current number of equations to process: 4810
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [201]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% Current number of equations to process: 4809
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [202]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% <-> multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity)
% Current number of equations to process: 4809
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [203]
% multiply(multiply(multiply(Y,Y),multiply(X,multiply(Z,multiply(Z,Z)))),Z) ->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(X,identity),identity))
% Rule
% [166]
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(Z,multiply(Z,Z)))),Z)
% ->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,X),identity),identity))
% collapsed.
% Current number of equations to process: 4825
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [204]
% multiply(identity,multiply(multiply(multiply(Y,identity),identity),multiply(
% multiply(Y,identity),identity)))
% -> multiply(multiply(identity,Y),multiply(multiply(Y,identity),identity))
% Current number of equations to process: 4836
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [205]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))),
% multiply(Y,multiply(Y,Y))) ->
% multiply(identity,multiply(identity,multiply(identity,Y)))
% Current number of equations to process: 4890
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [206]
% multiply(multiply(multiply(identity,multiply(Y,Y)),X),identity) <->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% Current number of equations to process: 4977
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [207]
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% <-> multiply(multiply(multiply(identity,multiply(Y,Y)),X),identity)
% Current number of equations to process: 4977
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [208]
% multiply(multiply(Y,X),identity) <->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% Current number of equations to process: 4976
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [209]
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% <-> multiply(multiply(Y,X),identity)
% Current number of equations to process: 4976
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [210]
% multiply(multiply(multiply(multiply(Y,identity),identity),multiply(multiply(Y,identity),identity)),
% multiply(multiply(multiply(multiply(Y,identity),identity),multiply(multiply(Y,identity),identity)),
% multiply(multiply(multiply(multiply(Y,identity),identity),X),identity))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(X,identity))))
% Current number of equations to process: 4974
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(
% multiply(Y,X),identity),Z)),identity)
% Current number of equations to process: 4973
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [212]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(multiply(Y,multiply(Y,Y)),identity)))
% -> multiply(identity,multiply(Y,multiply(multiply(Y,identity),identity)))
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [213]
% multiply(identity,multiply(multiply(Y,multiply(multiply(multiply(X,X),Z),identity)),identity))
% <->
% multiply(multiply(multiply(identity,Y),multiply(multiply(identity,X),
% multiply(multiply(X,Z),identity))),identity)
% Current number of equations to process: 4971
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [214]
% multiply(multiply(multiply(identity,Y),multiply(multiply(identity,X),
% multiply(multiply(X,Z),identity))),identity)
% <->
% multiply(identity,multiply(multiply(Y,multiply(multiply(multiply(X,X),Z),identity)),identity))
% Current number of equations to process: 4971
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [215]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,Y)),X),
% multiply(identity,multiply(multiply(X,X),multiply(multiply(X,identity),identity)))))
% -> Y
% Current number of equations to process: 4969
% Current number of ordered equations: 0
% Current number of rules: 138
% Rule [208]
% multiply(multiply(Y,X),identity) <->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(identity,
% multiply(multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(multiply(a,a),
% multiply(multiply(a,identity),identity)))))))) is composed into
% [208]
% multiply(multiply(Y,X),identity) <->
% multiply(multiply(Y,identity),multiply(X,identity))
% New rule produced :
% [216]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,X),
% multiply(identity,
% multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))))
% -> Y
% Rule
% [209]
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% <-> multiply(multiply(Y,X),identity) collapsed.
% Current number of equations to process: 4969
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [217]
% multiply(identity,multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,
% multiply(
% multiply(Y,identity),identity)),X))))
% -> multiply(identity,multiply(Y,multiply(identity,multiply(identity,X))))
% Current number of equations to process: 4967
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [218]
% multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,X),Z)),V_3),identity))
% <->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,
% multiply(
% multiply(Y,X),Z)),V_3),identity))
% Current number of equations to process: 4967
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [219]
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,
% multiply(
% multiply(Y,X),Z)),V_3),identity))
% <->
% multiply(multiply(multiply(a,a),identity),multiply(multiply(multiply(a,
% multiply(
% multiply(a,X),Z)),V_3),identity))
% Current number of equations to process: 4966
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [220]
% multiply(multiply(multiply(a,a),identity),multiply(multiply(multiply(a,
% multiply(
% multiply(a,X),Z)),V_3),identity))
% <->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,
% multiply(
% multiply(Y,X),Z)),V_3),identity))
% Current number of equations to process: 4966
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [221]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(a,X),Z),identity))))
% <->
% multiply(a,multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(
% multiply(
% multiply(Y,X),Z),identity))))
% Current number of equations to process: 4965
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [222]
% multiply(a,multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(
% multiply(
% multiply(Y,X),Z),identity))))
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(a,X),Z),identity))))
% Current number of equations to process: 4965
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [223]
% multiply(multiply(Z,Z),multiply(multiply(Z,identity),multiply(multiply(
% multiply(Z,a),Y),X)))
% -> multiply(multiply(a,a),multiply(multiply(a,a),multiply(multiply(a,Y),X)))
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [224]
% multiply(Y,multiply(multiply(a,a),multiply(multiply(a,identity),multiply(
% multiply(
% multiply(a,X),Z),identity))))
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),Z),identity))))
% Current number of equations to process: 4963
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [225]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),Z),identity))))
% <->
% multiply(Y,multiply(multiply(a,a),multiply(multiply(a,identity),multiply(
% multiply(
% multiply(a,X),Z),identity))))
% Rule
% [165]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(
% multiply(Y,identity),identity),X),identity))))
% ->
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(identity,identity),
% multiply(identity,multiply(X,identity)))))
% collapsed.
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 146
% Rule [225]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),Z),identity))))
% <->
% multiply(Y,multiply(multiply(a,a),multiply(multiply(a,identity),
% multiply(multiply(multiply(a,X),Z),identity)))) is composed into
% [225]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),Z),identity))))
% ->
% multiply(Y,multiply(multiply(X,X),multiply(multiply(X,X),multiply(multiply(X,Z),identity))))
% New rule produced :
% [226]
% multiply(multiply(a,a),multiply(multiply(a,identity),multiply(multiply(
% multiply(a,Y),X),Z)))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),Z)))
% Rule
% [224]
% multiply(Y,multiply(multiply(a,a),multiply(multiply(a,identity),multiply(
% multiply(
% multiply(a,X),Z),identity))))
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),Z),identity))))
% collapsed.
% Current number of equations to process: 4963
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [227]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),
% multiply(identity,Z))
% Current number of equations to process: 4960
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [228]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),
% multiply(identity,Z)) <->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% Current number of equations to process: 4960
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [229]
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(X,
% multiply(
% multiply(Z,identity),identity))))))
% <->
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% Current number of equations to process: 4959
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [230]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(X,
% multiply(
% multiply(Z,identity),identity))))))
% Current number of equations to process: 4959
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [231]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(
% multiply(
% multiply(Y,identity),identity),X))),Z))
% ->
% multiply(multiply(Y,identity),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% Current number of equations to process: 4957
% Current number of ordered equations: 2
% Current number of rules: 151
% New rule produced :
% [232]
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(
% multiply(X,identity),identity),Z)))))
% <->
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,
% multiply(identity,Z)))))
% Current number of equations to process: 4957
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [233]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,
% multiply(identity,Z)))))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(
% multiply(X,identity),identity),Z)))))
% Current number of equations to process: 4957
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [234]
% multiply(multiply(Y,multiply(identity,multiply(multiply(X,X),multiply(
% multiply(X,identity),identity)))),
% multiply(multiply(X,identity),identity)) ->
% multiply(multiply(Y,identity),identity)
% Current number of equations to process: 4954
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [235]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),multiply(identity,
% multiply(identity,Z)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% Current number of equations to process: 4952
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [236]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% <->
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),multiply(identity,
% multiply(identity,Z)))
% Current number of equations to process: 4952
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [237]
% multiply(identity,multiply(identity,multiply(Y,multiply(X,multiply(identity,
% multiply(multiply(Z,identity),identity))))))
% <->
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(identity,X)),Z))
% Current number of equations to process: 4950
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [238]
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(identity,X)),Z))
% <->
% multiply(identity,multiply(identity,multiply(Y,multiply(X,multiply(identity,
% multiply(multiply(Z,identity),identity))))))
% Current number of equations to process: 4950
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [239]
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,
% multiply(multiply(X,identity),identity)),Z))))
% <->
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,multiply(identity,
% multiply(identity,Z))))
% Current number of equations to process: 4948
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [240]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,multiply(identity,
% multiply(identity,Z))))
% <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,
% multiply(multiply(X,identity),identity)),Z))))
% Current number of equations to process: 4948
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [241]
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,
% multiply(X,identity)),
% multiply(
% multiply(
% multiply(X,identity),identity),identity)))))
% <->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(X,X),identity))
% Current number of equations to process: 4944
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [242]
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(X,X),identity))
% <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,
% multiply(X,identity)),
% multiply(
% multiply(
% multiply(X,identity),identity),identity)))))
% Current number of equations to process: 4944
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [243]
% multiply(Y,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,
% multiply(
% multiply(X,identity),identity)),Z))))
% -> multiply(Y,multiply(X,multiply(identity,multiply(identity,Z))))
% Rule
% [217]
% multiply(identity,multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,
% multiply(
% multiply(Y,identity),identity)),X))))
% -> multiply(identity,multiply(Y,multiply(identity,multiply(identity,X))))
% collapsed.
% Current number of equations to process: 4942
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [244]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(
% multiply(Y,Y),
% multiply(
% multiply(Y,identity),identity)))),X))
% -> multiply(multiply(Y,identity),multiply(multiply(Y,Y),X))
% Current number of equations to process: 4940
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [245]
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(X,X),
% multiply(
% multiply(X,identity),identity))))))
% <-> multiply(multiply(identity,Y),multiply(X,multiply(X,X)))
% Current number of equations to process: 4939
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [246]
% multiply(multiply(identity,Y),multiply(X,multiply(X,X))) <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(X,X),
% multiply(
% multiply(X,identity),identity))))))
% Current number of equations to process: 4939
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [247]
% multiply(multiply(a,multiply(identity,multiply(identity,multiply(identity,Y)))),Y)
% -> multiply(multiply(a,identity),multiply(Y,Y))
% Current number of equations to process: 2553
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [248]
% multiply(multiply(a,identity),multiply(multiply(multiply(Y,Y),identity),identity))
% -> multiply(multiply(a,Y),multiply(multiply(Y,identity),identity))
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [249]
% multiply(multiply(Y,multiply(multiply(X,X),multiply(identity,Z))),multiply(Z,
% multiply(Z,Z)))
% -> multiply(multiply(Y,X),multiply(multiply(X,identity),identity))
% Rule
% [174]
% multiply(multiply(a,multiply(multiply(Y,Y),multiply(identity,X))),multiply(X,
% multiply(X,X)))
% -> multiply(multiply(a,Y),multiply(multiply(Y,identity),identity)) collapsed.
% Current number of equations to process: 2617
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [250]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,identity),Y))) ->
% multiply(identity,multiply(identity,multiply(identity,Y)))
% Rule
% [176]
% multiply(Y,multiply(X,multiply(multiply(X,X),multiply(multiply(X,identity),Z))))
% -> multiply(Y,multiply(identity,multiply(identity,multiply(identity,Z))))
% collapsed.
% Rule
% [185]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,identity),Y))) ->
% multiply(identity,multiply(identity,multiply(identity,Y))) collapsed.
% Current number of equations to process: 2693
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [251]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,Y),multiply(identity,X))))
% -> multiply(identity,multiply(identity,multiply(identity,multiply(Y,X))))
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [252]
% multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,Y),multiply(identity,X))))
% -> multiply(identity,multiply(identity,multiply(identity,multiply(Y,X))))
% Rule
% [183]
% multiply(Y,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,X),
% multiply(identity,Z)))))
% ->
% multiply(Y,multiply(identity,multiply(identity,multiply(identity,multiply(X,Z)))))
% collapsed.
% Rule
% [251]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,Y),multiply(identity,X))))
% -> multiply(identity,multiply(identity,multiply(identity,multiply(Y,X))))
% collapsed.
% Current number of equations to process: 2807
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [253]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,multiply(Y,multiply(identity,Z))),
% multiply(Z,multiply(Z,Z))))) -> Y
% Current number of equations to process: 2933
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [254]
% multiply(identity,multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))))
% <->
% multiply(identity,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,X),Z))))
% Current number of equations to process: 2932
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [255]
% multiply(Y,multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,X),multiply(
% multiply(X,identity),identity)))))
% -> multiply(Y,multiply(X,X))
% Rule
% [171]
% multiply(identity,multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),
% multiply(multiply(Y,identity),identity)))))
% -> multiply(identity,multiply(Y,Y)) collapsed.
% Rule
% [181]
% multiply(Y,multiply(X,multiply(multiply(X,X),multiply(multiply(X,a),multiply(
% multiply(a,identity),identity)))))
% -> multiply(Y,multiply(a,a)) collapsed.
% Current number of equations to process: 2931
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [256]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,X),
% multiply(Z,multiply(Z,Z)))),Z)))
% -> multiply(Y,X)
% Current number of equations to process: 2961
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [257]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,identity),X)),Z)))
% ->
% multiply(Y,multiply(identity,multiply(multiply(identity,multiply(identity,X)),Z)))
% Rule
% [180]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,identity),identity)),X)))
% -> multiply(Y,multiply(identity,multiply(identity,X))) collapsed.
% Current number of equations to process: 2960
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [258]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,multiply(identity,
% multiply(Y,Z))),
% multiply(Z,multiply(Z,Z))))) ->
% multiply(identity,Y)
% Current number of equations to process: 2959
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [259]
% multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,multiply(identity,
% multiply(multiply(Y,identity),identity))),X)))
% -> multiply(identity,multiply(Y,multiply(identity,X)))
% Current number of equations to process: 2958
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [260]
% multiply(multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,X)),Z))),
% multiply(Z,multiply(Z,Z))) ->
% multiply(multiply(identity,multiply(Y,identity)),X)
% Current number of equations to process: 2958
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [261]
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,identity),identity)))
% <->
% multiply(multiply(Y,multiply(identity,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% Current number of equations to process: 2962
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [262]
% multiply(multiply(Y,multiply(identity,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% <->
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,identity),identity)))
% Rule
% [126]
% multiply(multiply(Y,multiply(identity,multiply(identity,X))),multiply(X,
% multiply(X,X)))
% -> multiply(multiply(Y,identity),identity) collapsed.
% Current number of equations to process: 2962
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [263]
% multiply(multiply(Y,multiply(X,multiply(identity,Z))),multiply(Z,multiply(Z,Z)))
% -> multiply(multiply(Y,identity),multiply(multiply(X,identity),identity))
% Rule
% [80]
% multiply(multiply(identity,multiply(Y,multiply(identity,X))),multiply(X,
% multiply(X,X)))
% -> multiply(identity,multiply(multiply(Y,identity),identity)) collapsed.
% Rule
% [249]
% multiply(multiply(Y,multiply(multiply(X,X),multiply(identity,Z))),multiply(Z,
% multiply(Z,Z)))
% -> multiply(multiply(Y,X),multiply(multiply(X,identity),identity)) collapsed.
% Rule
% [253]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,multiply(Y,multiply(identity,Z))),
% multiply(Z,multiply(Z,Z))))) -> Y
% collapsed.
% Current number of equations to process: 2965
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [264]
% multiply(multiply(Y,X),multiply(multiply(X,identity),identity)) <->
% multiply(multiply(Y,identity),multiply(multiply(multiply(X,X),identity),identity))
% Current number of equations to process: 2964
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [265]
% multiply(multiply(Y,identity),multiply(multiply(multiply(X,X),identity),identity))
% <-> multiply(multiply(Y,X),multiply(multiply(X,identity),identity))
% Rule
% [248]
% multiply(multiply(a,identity),multiply(multiply(multiply(Y,Y),identity),identity))
% -> multiply(multiply(a,Y),multiply(multiply(Y,identity),identity)) collapsed.
% Current number of equations to process: 2964
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [266]
% multiply(multiply(Y,multiply(identity,multiply(identity,multiply(X,X)))),
% multiply(X,multiply(X,X))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,X)))
% Rule
% [205]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))),
% multiply(Y,multiply(Y,Y))) ->
% multiply(identity,multiply(identity,multiply(identity,Y))) collapsed.
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [267]
% multiply(identity,multiply(multiply(Y,X),Z)) <->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(identity,X),Z))
% Rule
% [84]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,Z))),
% multiply(Z,multiply(Z,Z))),X)) ->
% multiply(Y,multiply(identity,X)) collapsed.
% Rule
% [173]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(a,Y),
% multiply(
% multiply(Y,identity),identity)),identity))))
% -> multiply(a,multiply(multiply(Y,Y),identity)) collapsed.
% Current number of equations to process: 3046
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [268]
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(identity,X),Z))
% <-> multiply(identity,multiply(multiply(Y,X),Z))
% Current number of equations to process: 3046
% Current number of ordered equations: 0
% Current number of rules: 171
% Rule [236]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(
% multiply(X,identity),identity))),Z)))
% <->
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),multiply(identity,
% multiply(identity,Z))) is composed into
% [236]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% <->
% multiply(multiply(identity,multiply(multiply(identity,Y),identity)),multiply(X,
% multiply(identity,Z)))
% Rule [227]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),
% multiply(identity,Z)) is composed into [227]
% multiply(identity,multiply(
% multiply(identity,
% multiply(identity,
% multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,
% multiply(multiply(identity,
% multiply(identity,Y)),identity)),
% multiply(X,Z))
% Rule [134]
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),multiply(identity,Z)) is composed into
% [134]
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(multiply(identity,Y),identity)),multiply(X,Z))
% Rule [104]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(
% multiply(X,identity),identity)))),Z))
% <-> multiply(multiply(multiply(identity,Y),X),multiply(identity,Z)) is composed into
% [104]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% <-> multiply(multiply(identity,multiply(Y,identity)),multiply(X,Z))
% New rule produced :
% [269]
% multiply(multiply(multiply(identity,Y),X),multiply(identity,Z)) ->
% multiply(multiply(identity,multiply(Y,identity)),multiply(X,Z))
% Rule
% [107]
% multiply(multiply(multiply(identity,Y),X),multiply(identity,Z)) <->
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% collapsed.
% Rule
% [133]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),multiply(identity,Z))
% <->
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% collapsed.
% Rule
% [215]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,Y)),X),
% multiply(identity,multiply(multiply(X,X),multiply(multiply(X,identity),identity)))))
% -> Y collapsed.
% Rule
% [228]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),
% multiply(identity,Z)) <->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% collapsed.
% Rule
% [235]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),multiply(identity,
% multiply(identity,Z)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% collapsed.
% Current number of equations to process: 3216
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [270]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity)))),X),identity)
% -> multiply(Y,multiply(X,identity))
% Current number of equations to process: 3288
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [271]
% multiply(multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(Z,Z)))),Z)
% <-> multiply(multiply(multiply(Y,X),identity),identity)
% Current number of equations to process: 3296
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [272]
% multiply(multiply(multiply(Y,X),identity),identity) <->
% multiply(multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(Z,Z)))),Z)
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [273]
% multiply(multiply(multiply(Y,X),identity),multiply(multiply(identity,Z),V_3))
% <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,Z),V_3))
% Current number of equations to process: 3295
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [274]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,Z),V_3))
% <->
% multiply(multiply(multiply(Y,X),identity),multiply(multiply(identity,Z),V_3))
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 172
% Rule [272]
% multiply(multiply(multiply(Y,X),identity),identity) <->
% multiply(multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(Z,Z)))),Z) is composed into
% [272]
% multiply(multiply(multiply(Y,X),identity),identity) <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,
% multiply(Z,
% multiply(Z,Z))),
% multiply(identity,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))
% Rule [227]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(multiply(identity,multiply(identity,Y)),identity)),
% multiply(X,Z)) is composed into [227]
% multiply(identity,multiply(multiply(identity,
% multiply(identity,
% multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(
% multiply(identity,identity),
% multiply(
% multiply(identity,Y),
% multiply(identity,
% multiply(identity,
% multiply(
% multiply(identity,identity),identity)))))),
% multiply(X,Z))
% Rule [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,multiply(Y,identity)),multiply(
% multiply(
% multiply(Y,X),identity),Z)),identity) is composed into
% [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),multiply(multiply(Y,identity),
% multiply(identity,multiply(identity,
% multiply(
% multiply(identity,identity),identity))))),
% multiply(multiply(multiply(multiply(Y,X),identity),Z),multiply(identity,
% multiply(identity,
% multiply(multiply(identity,identity),identity)))))
% Rule [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,
% multiply(
% multiply(X,identity),identity)),identity)))) is composed into
% [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(X,identity),identity),
% multiply(identity,
% multiply(identity,
% multiply(multiply(identity,identity),identity))))))))
% Rule [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(multiply(identity,
% multiply(
% multiply(X,identity),identity)),identity)))) is composed into
% [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,identity),
% multiply(
% multiply(
% multiply(X,identity),identity),
% multiply(identity,
% multiply(identity,
% multiply(
% multiply(identity,identity),identity))))))))
% Rule [57]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),X))),
% multiply(X,multiply(X,X))) <->
% multiply(multiply(multiply(identity,multiply(identity,multiply(Y,Z))),
% multiply(Z,multiply(Z,Z))),identity) is composed into [57]
% multiply(
% multiply(identity,
% multiply(identity,
% multiply(
% multiply(Y,identity),X))),
% multiply(X,
% multiply(X,X)))
% <->
% multiply(
% multiply(
% multiply(identity,identity),
% multiply(
% multiply(identity,
% multiply(Y,Z)),
% multiply(identity,
% multiply(identity,
% multiply(
% multiply(identity,identity),identity))))),
% multiply(
% multiply(Z,
% multiply(Z,Z)),
% multiply(identity,
% multiply(identity,
% multiply(
% multiply(identity,identity),identity)))))
% Rule [33]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(
% multiply(Y,Y),identity),identity))
% <->
% multiply(multiply(Y,multiply(multiply(Y,identity),identity)),identity) is composed into
% [33]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),identity),identity))
% <->
% multiply(multiply(Y,identity),multiply(multiply(multiply(Y,identity),identity),
% multiply(identity,multiply(identity,multiply(
% multiply(identity,identity),identity)))))
% New rule produced :
% [275]
% multiply(multiply(Y,X),Z) <->
% multiply(multiply(Y,identity),multiply(X,multiply(identity,multiply(identity,
% multiply(multiply(Z,identity),identity)))))
% Rule
% [15]
% multiply(Y,multiply(multiply(Y,multiply(Y,multiply(multiply(Y,identity),identity))),identity))
% -> multiply(multiply(Y,Y),multiply(Y,Y)) collapsed.
% Rule
% [30]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(Y,multiply(
% multiply(Y,identity),identity)),identity))
% -> multiply(Y,Y) collapsed.
% Rule
% [34]
% multiply(multiply(Y,multiply(multiply(Y,identity),identity)),identity) <->
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),identity),identity))
% collapsed.
% Rule
% [46]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),
% multiply(X,identity)),identity))
% <-> multiply(multiply(Y,multiply(multiply(Y,X),identity)),identity)
% collapsed.
% Rule
% [47]
% multiply(multiply(Y,multiply(multiply(Y,X),identity)),identity) <->
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),
% multiply(X,identity)),identity))
% collapsed.
% Rule
% [56]
% multiply(multiply(multiply(identity,multiply(identity,multiply(Y,Z))),
% multiply(Z,multiply(Z,Z))),identity) <->
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),X))),
% multiply(X,multiply(X,X))) collapsed.
% Rule
% [82]
% multiply(multiply(identity,Z),multiply(multiply(multiply(Z,Z),multiply(Z,Z)),
% multiply(multiply(multiply(Z,Z),multiply(
% multiply(
% multiply(Z,Y),X),identity)),identity)))
% -> multiply(multiply(identity,Y),X) collapsed.
% Rule
% [86]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(multiply(identity,Y),
% multiply(multiply(
% multiply(identity,Y),X),identity)),identity))
% -> X collapsed.
% Rule
% [87]
% multiply(multiply(multiply(identity,Y),multiply(multiply(identity,multiply(Y,Y)),X)),identity)
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% collapsed.
% Rule
% [89]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),multiply(Z,
% multiply(Z,Z)))),Z))
% -> X collapsed.
% Rule
% [127]
% multiply(multiply(Y,multiply(identity,multiply(X,multiply(X,X)))),X) ->
% multiply(multiply(Y,identity),identity) collapsed.
% Rule
% [132]
% multiply(multiply(multiply(identity,Y),multiply(multiply(Y,multiply(Y,Y)),identity)),identity)
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(multiply(Y,Y),identity),identity))
% collapsed.
% Rule
% [150]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),X)),identity))
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)))
% collapsed.
% Rule
% [153]
% multiply(multiply(X,X),multiply(multiply(X,multiply(multiply(X,a),Y)),identity))
% ->
% multiply(multiply(a,a),multiply(multiply(a,a),multiply(multiply(a,Y),identity)))
% collapsed.
% Rule
% [154]
% multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(a,Y),X)),identity))
% ->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)))
% collapsed.
% Rule
% [159]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,
% multiply(
% multiply(X,identity),identity)),identity))))
% <->
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% collapsed.
% Rule
% [191]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,
% multiply(
% multiply(Y,identity),identity)),identity))))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y))) collapsed.
% Rule
% [199]
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)),identity)
% ->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,X),identity),identity))
% collapsed.
% Rule
% [203]
% multiply(multiply(multiply(Y,Y),multiply(X,multiply(Z,multiply(Z,Z)))),Z) ->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(X,identity),identity))
% collapsed.
% Rule
% [213]
% multiply(identity,multiply(multiply(Y,multiply(multiply(multiply(X,X),Z),identity)),identity))
% <->
% multiply(multiply(multiply(identity,Y),multiply(multiply(identity,X),
% multiply(multiply(X,Z),identity))),identity)
% collapsed.
% Rule
% [214]
% multiply(multiply(multiply(identity,Y),multiply(multiply(identity,X),
% multiply(multiply(X,Z),identity))),identity)
% <->
% multiply(identity,multiply(multiply(Y,multiply(multiply(multiply(X,X),Z),identity)),identity))
% collapsed.
% Rule
% [256]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,X),
% multiply(Z,multiply(Z,Z)))),Z)))
% -> multiply(Y,X) collapsed.
% Rule
% [271]
% multiply(multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(Z,Z)))),Z)
% <-> multiply(multiply(multiply(Y,X),identity),identity) collapsed.
% Current number of equations to process: 3322
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [276]
% multiply(multiply(Y,identity),multiply(X,multiply(identity,multiply(identity,
% multiply(multiply(Z,identity),identity)))))
% <-> multiply(multiply(Y,X),Z)
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [277]
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(multiply(Z,identity),identity)))))
% <-> multiply(multiply(identity,multiply(Y,X)),Z)
% Current number of equations to process: 3321
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [278]
% multiply(multiply(identity,multiply(Y,X)),Z) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(multiply(Z,identity),identity)))))
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [279]
% multiply(multiply(multiply(multiply(identity,Y),X),identity),multiply(identity,Z))
% ->
% multiply(multiply(identity,multiply(multiply(Y,identity),identity)),multiply(
% multiply(X,identity),Z))
% Current number of equations to process: 3320
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [280]
% multiply(identity,multiply(multiply(Y,Y),X)) <->
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X))
% Current number of equations to process: 3319
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [281]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X)) <-> multiply(identity,multiply(multiply(Y,Y),X))
% Current number of equations to process: 3319
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [282]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),identity),X),identity))
% ->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(multiply(Y,identity),X),identity))
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [283]
% multiply(multiply(Y,identity),multiply(multiply(multiply(Y,identity),
% multiply(Y,X)),Z)) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,X)),Z))
% Current number of equations to process: 3373
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [284]
% multiply(multiply(Y,multiply(multiply(Y,identity),multiply(Y,X))),multiply(X,
% multiply(X,X)))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity))
% Current number of equations to process: 3371
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [285]
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,Y),
% multiply(multiply(Y,identity),identity)),X))
% -> multiply(Y,multiply(identity,X))
% Current number of equations to process: 3370
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [286]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),identity),multiply(
% multiply(Y,Y),X)))
% -> multiply(Y,multiply(multiply(Y,identity),multiply(identity,X)))
% Current number of equations to process: 3368
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [287]
% multiply(identity,multiply(multiply(multiply(Y,identity),identity),multiply(
% multiply(Y,X),identity)))
% ->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(X,identity))))
% Rule
% [204]
% multiply(identity,multiply(multiply(multiply(Y,identity),identity),multiply(
% multiply(Y,identity),identity)))
% -> multiply(multiply(identity,Y),multiply(multiply(Y,identity),identity))
% collapsed.
% Current number of equations to process: 3365
% Current number of ordered equations: 2
% Current number of rules: 161
% New rule produced :
% [288]
% multiply(multiply(Y,X),multiply(multiply(identity,Z),multiply(multiply(Z,V_3),identity)))
% <->
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(multiply(Z,Z),V_3),identity)))
% Current number of equations to process: 3365
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [289]
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(multiply(Z,Z),V_3),identity)))
% <->
% multiply(multiply(Y,X),multiply(multiply(identity,Z),multiply(multiply(Z,V_3),identity)))
% Current number of equations to process: 3365
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [290]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(X,
% multiply(
% multiply(Z,identity),identity)))))
% <-> multiply(multiply(identity,multiply(identity,multiply(Y,X))),Z)
% Current number of equations to process: 3364
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [291]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),Z) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(X,
% multiply(
% multiply(Z,identity),identity)))))
% Current number of equations to process: 3364
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [292]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,identity),X),identity)))
% ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,identity))))
% Current number of equations to process: 3362
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [293]
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(multiply(X,identity),identity),
% multiply(multiply(multiply(X,X),identity),
% multiply(multiply(multiply(X,identity),a),
% multiply(identity,multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% -> multiply(multiply(Y,identity),identity)
% Current number of equations to process: 3361
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [294]
% multiply(identity,multiply(X,multiply(multiply(X,identity),multiply(multiply(X,X),
% multiply(multiply(Y,identity),identity)))))
% -> multiply(identity,Y)
% Current number of equations to process: 3393
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [295]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y))) <->
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(Y,identity))
% Current number of equations to process: 3464
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [296]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(Y,identity)) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% Current number of equations to process: 3464
% Current number of ordered equations: 0
% Current number of rules: 170
% Rule [227]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(multiply(identity,identity),
% multiply(multiply(identity,Y),multiply(identity,
% multiply(identity,
% multiply(
% multiply(identity,identity),identity)))))),
% multiply(X,Z)) is composed into [227]
% multiply(identity,multiply(multiply(identity,
% multiply(identity,
% multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(
% multiply(identity,identity),
% multiply(
% multiply(identity,Y),
% multiply(identity,
% multiply(identity,
% multiply(identity,identity)))))),
% multiply(X,Z))
% Rule [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),multiply(multiply(Y,identity),
% multiply(identity,
% multiply(identity,
% multiply(multiply(identity,identity),identity))))),
% multiply(multiply(multiply(multiply(Y,X),identity),Z),multiply(identity,
% multiply(identity,
% multiply(multiply(identity,identity),identity))))) is composed into
% [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),multiply(multiply(Y,identity),
% multiply(identity,multiply(identity,
% multiply(identity,identity))))),
% multiply(multiply(multiply(multiply(Y,X),identity),Z),multiply(identity,
% multiply(identity,
% multiply(identity,identity)))))
% Rule [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(X,identity),identity),
% multiply(identity,
% multiply(identity,
% multiply(multiply(identity,identity),identity)))))))) is composed into
% [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(X,identity),identity),
% multiply(identity,
% multiply(identity,
% multiply(identity,identity))))))))
% Rule [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(multiply(identity,identity),
% multiply(multiply(
% multiply(X,identity),identity),
% multiply(identity,
% multiply(identity,
% multiply(multiply(identity,identity),identity)))))))) is composed into
% [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,identity),
% multiply(
% multiply(
% multiply(X,identity),identity),
% multiply(identity,
% multiply(identity,
% multiply(identity,identity))))))))
% Rule [57]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),X))),
% multiply(X,multiply(X,X))) <->
% multiply(multiply(multiply(identity,identity),multiply(multiply(identity,
% multiply(Y,Z)),
% multiply(identity,
% multiply(identity,
% multiply(multiply(identity,identity),identity))))),
% multiply(multiply(Z,multiply(Z,Z)),multiply(identity,multiply(identity,
% multiply(multiply(identity,identity),identity))))) is composed into
% [57]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),X))),
% multiply(X,multiply(X,X))) <->
% multiply(multiply(multiply(identity,identity),multiply(multiply(identity,
% multiply(Y,Z)),
% multiply(identity,multiply(identity,
% multiply(identity,identity))))),
% multiply(multiply(Z,multiply(Z,Z)),multiply(identity,multiply(identity,
% multiply(identity,identity)))))
% Rule [33]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(
% multiply(Y,Y),identity),identity))
% <->
% multiply(multiply(Y,identity),multiply(multiply(multiply(Y,identity),identity),
% multiply(identity,multiply(identity,
% multiply(multiply(identity,identity),identity))))) is composed into
% [33]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),identity),identity))
% <->
% multiply(multiply(Y,identity),multiply(multiply(multiply(Y,identity),identity),
% multiply(identity,multiply(identity,multiply(identity,identity)))))
% New rule produced : [297] multiply(multiply(Y,identity),Y) -> multiply(Y,Y)
% Current number of equations to process: 3472
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [298]
% multiply(multiply(Y,identity),multiply(multiply(X,identity),multiply(
% multiply(X,X),
% multiply(
% multiply(X,identity),identity))))
% -> multiply(multiply(Y,identity),identity)
% Current number of equations to process: 3499
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [299]
% multiply(multiply(Y,multiply(identity,multiply(X,multiply(X,X)))),multiply(X,
% multiply(X,X)))
% -> multiply(multiply(Y,identity),multiply(identity,multiply(X,X)))
% Current number of equations to process: 3498
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [300]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(
% multiply(Y,Y),identity)))),
% multiply(Y,X)) -> multiply(multiply(Y,identity),multiply(multiply(Y,Y),X))
% Current number of equations to process: 3497
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [301]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),
% multiply(identity,X)))) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),X))))
% Current number of equations to process: 3498
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [302]
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,Z))
% Current number of equations to process: 3496
% Current number of ordered equations: 3
% Current number of rules: 176
% New rule produced :
% [303]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,Z))
% <->
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% Current number of equations to process: 3496
% Current number of ordered equations: 2
% Current number of rules: 177
% New rule produced :
% [304]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),X),Z))
% <->
% multiply(multiply(Y,identity),multiply(multiply(multiply(Y,identity),X),Z))
% Current number of equations to process: 3496
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [305]
% multiply(multiply(Y,identity),multiply(multiply(multiply(Y,identity),X),Z))
% <->
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),X),Z))
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [306]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,identity),X),Z)))
% -> multiply(a,multiply(multiply(a,a),multiply(multiply(a,X),Z)))
% Rule
% [292]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,identity),X),identity)))
% ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,identity))))
% collapsed.
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [307]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,identity),X),
% multiply(identity,Z)))))
% ->
% multiply(Y,multiply(identity,multiply(identity,multiply(identity,multiply(X,Z)))))
% Current number of equations to process: 3494
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [308]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(X,Z))
% Rule
% [244]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(
% multiply(Y,Y),
% multiply(
% multiply(Y,identity),identity)))),X))
% -> multiply(multiply(Y,identity),multiply(multiply(Y,Y),X)) collapsed.
% Current number of equations to process: 3491
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [309]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(X,Z)) <->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% Current number of equations to process: 3491
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [310]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% <->
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,
% multiply(identity,Z)))
% Current number of equations to process: 3490
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [311]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,
% multiply(identity,Z)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% Current number of equations to process: 3490
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [312]
% multiply(multiply(identity,multiply(X,X)),multiply(multiply(identity,
% multiply(X,identity)),
% multiply(multiply(multiply(
% multiply(identity,X),Y),identity),identity)))
% -> Y
% Current number of equations to process: 3489
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [313]
% multiply(multiply(a,multiply(identity,multiply(multiply(Y,Y),X))),multiply(X,
% multiply(X,X)))
% ->
% multiply(multiply(a,identity),multiply(multiply(identity,Y),multiply(
% multiply(Y,identity),identity)))
% Current number of equations to process: 3488
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [314]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,X),identity)),Z)))
% ->
% multiply(Y,multiply(identity,multiply(multiply(identity,multiply(identity,
% multiply(X,identity))),Z)))
% Current number of equations to process: 3486
% Current number of ordered equations: 0
% Current number of rules: 186
% Rule [221]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(a,X),Z),identity))))
% <->
% multiply(a,multiply(multiply(Y,Y),multiply(multiply(Y,identity),
% multiply(multiply(multiply(Y,X),Z),identity)))) is composed into
% [221]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(a,X),Z),identity))))
% ->
% multiply(a,multiply(multiply(X,X),multiply(multiply(X,X),multiply(multiply(X,Z),identity))))
% New rule produced :
% [315]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,X),Z),identity)))
% ->
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(multiply(X,Z),identity)))
% Rule
% [200]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,X),identity),identity)))
% -> X collapsed.
% Rule
% [222]
% multiply(a,multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(
% multiply(
% multiply(Y,X),Z),identity))))
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(a,X),Z),identity))))
% collapsed.
% Current number of equations to process: 3484
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [316]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,multiply(identity,
% multiply(identity,
% multiply(identity,Y)))),Y)))
% -> multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y))))
% Current number of equations to process: 3483
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [317]
% multiply(multiply(Y,multiply(identity,multiply(multiply(identity,X),Z))),
% multiply(Z,multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(
% multiply(X,identity),identity))))
% Rule
% [182]
% multiply(multiply(Y,multiply(identity,multiply(multiply(identity,multiply(identity,X)),Z))),
% multiply(Z,multiply(Z,Z))) -> multiply(multiply(Y,identity),X) collapsed.
% Current number of equations to process: 3482
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [318]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,X),identity),Z)))
% ->
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(X,identity)),Z)))
% Current number of equations to process: 3481
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [319]
% multiply(multiply(Y,X),Z) <->
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,multiply(identity,
% multiply(Z,V_3))),
% multiply(V_3,multiply(V_3,V_3)))))
% Current number of equations to process: 3480
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [320]
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,multiply(identity,
% multiply(Z,V_3))),
% multiply(V_3,multiply(V_3,V_3)))))
% <-> multiply(multiply(Y,X),Z)
% Current number of equations to process: 3480
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [321]
% multiply(multiply(Y,X),multiply(multiply(identity,Z),V_3)) <->
% multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(identity,
% multiply(identity,
% multiply(multiply(V_3,identity),identity))))))
% Current number of equations to process: 3479
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [322]
% multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(identity,
% multiply(identity,
% multiply(multiply(V_3,identity),identity))))))
% <-> multiply(multiply(Y,X),multiply(multiply(identity,Z),V_3))
% Current number of equations to process: 3479
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [323]
% multiply(multiply(Y,X),multiply(Z,multiply(identity,V_3))) <->
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,multiply(identity,
% multiply(
% multiply(Z,identity),identity))),V_3)))
% Current number of equations to process: 3478
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [324]
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,multiply(identity,
% multiply(
% multiply(Z,identity),identity))),V_3)))
% <-> multiply(multiply(Y,X),multiply(Z,multiply(identity,V_3)))
% Current number of equations to process: 3478
% Current number of ordered equations: 0
% Current number of rules: 193
% Rule [157]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),Z)))
% <->
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,identity),multiply(
% multiply(
% multiply(V_3,Y),X),Z))) is composed into
% [157]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),Z)))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),Z)))
% New rule produced :
% [325]
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,identity),multiply(multiply(
% multiply(V_3,Y),X),Z)))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),Z)))
% Rule
% [223]
% multiply(multiply(Z,Z),multiply(multiply(Z,identity),multiply(multiply(
% multiply(Z,a),Y),X)))
% -> multiply(multiply(a,a),multiply(multiply(a,a),multiply(multiply(a,Y),X)))
% collapsed.
% Rule
% [226]
% multiply(multiply(a,a),multiply(multiply(a,identity),multiply(multiply(
% multiply(a,Y),X),Z)))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),Z)))
% collapsed.
% Rule
% [306]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,identity),X),Z)))
% -> multiply(a,multiply(multiply(a,a),multiply(multiply(a,X),Z))) collapsed.
% Rule
% [315]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,X),Z),identity)))
% ->
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(multiply(X,Z),identity)))
% collapsed.
% Rule
% [318]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(
% multiply(Y,X),identity),Z)))
% ->
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(X,identity)),Z)))
% collapsed.
% Current number of equations to process: 3477
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [326]
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,Z),
% multiply(multiply(Z,identity),identity)))))
% <-> multiply(multiply(identity,multiply(Y,X)),multiply(Z,Z))
% Current number of equations to process: 3474
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [327]
% multiply(multiply(identity,multiply(Y,X)),multiply(Z,Z)) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,Z),
% multiply(multiply(Z,identity),identity)))))
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [328]
% multiply(multiply(Y,X),multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,V_3),V_4))))
% <->
% multiply(multiply(Y,identity),multiply(X,multiply(identity,multiply(multiply(identity,V_3),V_4))))
% Current number of equations to process: 3473
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [329]
% multiply(multiply(Y,identity),multiply(X,multiply(identity,multiply(multiply(identity,V_3),V_4))))
% <->
% multiply(multiply(Y,X),multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,V_3),V_4))))
% Current number of equations to process: 3473
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [330]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(X,identity),identity)))
% <->
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% Current number of equations to process: 3472
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [331]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(X,identity),identity)))
% Current number of equations to process: 3472
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [332]
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,
% multiply(X,identity)))))
% <->
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),multiply(
% multiply(Z,X),identity))))
% Current number of equations to process: 3471
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [333]
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),multiply(
% multiply(Z,X),identity))))
% <->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,
% multiply(X,identity)))))
% Current number of equations to process: 3471
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [334]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),Z),multiply(identity,V_3)))
% ->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(multiply(Y,X),identity),
% multiply(Z,V_3)))
% Current number of equations to process: 3470
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [335]
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(Y,identity),identity),identity)),X))
% -> multiply(identity,multiply(identity,X))
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [336]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,Y),X),Z))))
% ->
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))))
% Current number of equations to process: 3468
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [337]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(
% multiply(Y,Y),X),Z),V_3))
% ->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,X),Z),V_3))
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [338]
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(X,identity),
% multiply(multiply(X,X),
% multiply(multiply(X,identity),identity))))))
% -> multiply(identity,multiply(Y,identity))
% Current number of equations to process: 3465
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [339]
% multiply(identity,multiply(multiply(identity,multiply(multiply(X,identity),
% multiply(multiply(X,X),multiply(
% multiply(X,identity),identity)))),Y))
% -> multiply(identity,multiply(identity,Y))
% Current number of equations to process: 3465
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [340]
% multiply(identity,multiply(identity,multiply(multiply(multiply(Y,Y),identity),
% multiply(multiply(Y,identity),multiply(
% multiply(
% multiply(Y,identity),identity),identity)))))
% -> identity
% Current number of equations to process: 3464
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [341]
% multiply(X,multiply(multiply(X,identity),multiply(multiply(X,X),multiply(
% multiply(identity,Y),
% multiply(
% multiply(Y,identity),identity)))))
% -> multiply(identity,multiply(Y,Y))
% Current number of equations to process: 3462
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [342]
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,identity),
% multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))
% -> multiply(multiply(Y,identity),identity)
% Current number of equations to process: 3461
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [343]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,multiply(identity,
% multiply(identity,
% multiply(Y,Y)))),Y)))
% -> multiply(identity,multiply(identity,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 3459
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [344]
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(identity,
% multiply(multiply(Y,Y),X)),Z))
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,
% multiply(Y,X)),Z))
% Current number of equations to process: 3468
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [345]
% multiply(identity,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)) ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,
% multiply(Y,X)),Z))
% Current number of equations to process: 3526
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [346]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)) <->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,multiply(identity,
% multiply(
% multiply(Z,identity),identity))))))
% Current number of equations to process: 3560
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [347]
% multiply(identity,multiply(identity,multiply(identity,multiply(X,multiply(identity,
% multiply(
% multiply(Z,identity),identity))))))
% <-> multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z))
% Current number of equations to process: 3560
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [348]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))
% <-> multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)
% Current number of equations to process: 3569
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [349]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))
% Current number of equations to process: 3569
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [350]
% multiply(multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z),multiply(identity,V_3))
% ->
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)),multiply(Z,V_3))
% Current number of equations to process: 3715
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [351]
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),identity)) ->
% multiply(Y,multiply(multiply(Y,Y),identity))
% Current number of equations to process: 3770
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [352]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(Z,identity)))
% <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,Z),identity))
% Current number of equations to process: 3778
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [353]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,Z),identity))
% <->
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(Z,identity)))
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [354]
% multiply(multiply(multiply(Y,multiply(identity,X)),Z),multiply(identity,V_3))
% ->
% multiply(multiply(multiply(Y,identity),multiply(identity,multiply(X,identity))),
% multiply(Z,V_3))
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [355]
% multiply(identity,multiply(multiply(multiply(Y,Y),identity),multiply(identity,
% multiply(X,identity))))
% ->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(X,identity))))
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [356]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,identity))),X),identity))
% -> multiply(Y,multiply(identity,multiply(X,identity)))
% Current number of equations to process: 4023
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [357]
% multiply(multiply(multiply(Z,Z),identity),multiply(multiply(multiply(Z,
% multiply(
% multiply(Z,Y),identity)),X),identity))
% -> multiply(Y,multiply(identity,multiply(X,identity)))
% Current number of equations to process: 4175
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [358]
% multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,
% multiply(Y,Y)),X),identity),Z)))
% ->
% multiply(multiply(Y,Y),multiply(identity,multiply(multiply(identity,multiply(X,identity)),Z)))
% Current number of equations to process: 4174
% Current number of ordered equations: 0
% Current number of rules: 222
% Rule [17]
% multiply(Y,multiply(multiply(Y,X),identity)) <->
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(X,identity))) is composed into [17]
% multiply(Y,
% multiply(
% multiply(Y,X),identity))
% <->
% multiply(Y,
% multiply(
% multiply(Y,identity),
% multiply(X,identity)))
% New rule produced :
% [359]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(X,identity))) ->
% multiply(Y,multiply(multiply(Y,identity),multiply(X,identity)))
% Rule
% [18]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(X,identity))) <->
% multiply(Y,multiply(multiply(Y,X),identity)) collapsed.
% Current number of equations to process: 4187
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [360]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(
% multiply(Y,X),identity))),
% multiply(X,multiply(multiply(X,X),identity)))) ->
% multiply(Y,identity)
% Current number of equations to process: 4188
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [361]
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,Y),identity),
% multiply(multiply(multiply(Y,identity),identity),identity)))
% -> multiply(Y,identity)
% Current number of equations to process: 4187
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [362]
% multiply(identity,multiply(multiply(multiply(Y,Y),identity),multiply(X,identity)))
% <-> multiply(multiply(identity,Y),multiply(multiply(Y,X),identity))
% Current number of equations to process: 4193
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [363]
% multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)) <->
% multiply(identity,multiply(multiply(multiply(Y,Y),identity),multiply(X,identity)))
% Current number of equations to process: 4193
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [364]
% multiply(identity,multiply(multiply(identity,multiply(multiply(Y,Y),identity)),
% multiply(X,identity))) <->
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% Current number of equations to process: 4197
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [365]
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% <->
% multiply(identity,multiply(multiply(identity,multiply(multiply(Y,Y),identity)),
% multiply(X,identity)))
% Current number of equations to process: 4197
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [366]
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,X),identity),
% multiply(Z,identity)))) <->
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,Z),identity)))
% Current number of equations to process: 4200
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [367]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,Z),identity)))
% <->
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,X),identity),
% multiply(Z,identity))))
% Current number of equations to process: 4200
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [368]
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,X),Z),identity)))
% <->
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,identity),
% multiply(Z,identity))))
% Current number of equations to process: 4206
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [369]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,identity),
% multiply(Z,identity))))
% <->
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,X),Z),identity)))
% Current number of equations to process: 4206
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [370]
% multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity),identity)
% -> multiply(Y,multiply(multiply(X,identity),identity))
% Current number of equations to process: 4228
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [371]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,Z)) <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,identity),Z))
% Current number of equations to process: 4234
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [372]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,identity),Z))
% <-> multiply(multiply(multiply(Y,X),identity),multiply(identity,Z))
% Current number of equations to process: 4234
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [373]
% multiply(multiply(multiply(Y,X),Z),multiply(identity,V_3)) <->
% multiply(multiply(multiply(Y,identity),multiply(X,identity)),multiply(Z,V_3))
% Rule
% [350]
% multiply(multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z),multiply(identity,V_3))
% ->
% multiply(multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)),multiply(Z,V_3))
% collapsed.
% Rule
% [354]
% multiply(multiply(multiply(Y,multiply(identity,X)),Z),multiply(identity,V_3))
% ->
% multiply(multiply(multiply(Y,identity),multiply(identity,multiply(X,identity))),
% multiply(Z,V_3)) collapsed.
% Current number of equations to process: 4234
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [374]
% multiply(multiply(multiply(Y,identity),multiply(X,identity)),multiply(Z,V_3))
% <-> multiply(multiply(multiply(Y,X),Z),multiply(identity,V_3))
% Current number of equations to process: 4234
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [375]
% multiply(multiply(multiply(Y,X),identity),identity) <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,identity),identity))
% Current number of equations to process: 4257
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [376]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,identity),identity))
% <-> multiply(multiply(multiply(Y,X),identity),identity)
% Current number of equations to process: 4257
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [377]
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,identity),identity),
% multiply(multiply(X,identity),identity)))) <->
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,identity),identity)))
% Current number of equations to process: 4262
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [378]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,identity),identity)))
% <->
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,identity),identity),
% multiply(multiply(X,identity),identity))))
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [379]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)))
% <->
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(Y,identity)),
% multiply(X,identity))))
% Rule
% [210]
% multiply(multiply(multiply(multiply(Y,identity),identity),multiply(multiply(Y,identity),identity)),
% multiply(multiply(multiply(multiply(Y,identity),identity),multiply(multiply(Y,identity),identity)),
% multiply(multiply(multiply(multiply(Y,identity),identity),X),identity))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(X,identity))))
% collapsed.
% Current number of equations to process: 4261
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [380]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(Y,identity)),
% multiply(X,identity)))) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)))
% Current number of equations to process: 4273
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [381]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,
% multiply(Y,identity)),
% multiply(X,identity)))
% Rule
% [172]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(Y,Y)),
% multiply(multiply(multiply(identity,Y),X),identity)))
% ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,identity))))
% collapsed.
% Current number of equations to process: 4273
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [382]
% multiply(identity,multiply(multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(X,identity)))),Z),identity))
% ->
% multiply(multiply(identity,multiply(multiply(Y,identity),identity)),multiply(X,
% multiply(Z,identity)))
% Current number of equations to process: 4342
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [383]
% multiply(identity,multiply(Y,multiply(multiply(Y,identity),identity))) <->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(Y,multiply(multiply(Y,Y),identity))))
% Current number of equations to process: 4378
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [384]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(Y,multiply(multiply(Y,Y),identity))))
% <-> multiply(identity,multiply(Y,multiply(multiply(Y,identity),identity)))
% Current number of equations to process: 4378
% Current number of ordered equations: 0
% Current number of rules: 243
% Rule [313]
% multiply(multiply(a,multiply(identity,multiply(multiply(Y,Y),X))),
% multiply(X,multiply(X,X))) ->
% multiply(multiply(a,identity),multiply(multiply(identity,Y),multiply(
% multiply(Y,identity),identity))) is composed into
% [313]
% multiply(multiply(a,multiply(identity,multiply(multiply(Y,Y),X))),multiply(X,
% multiply(X,X)))
% ->
% multiply(a,multiply(multiply(identity,Y),multiply(multiply(Y,identity),identity)))
% Rule [247]
% multiply(multiply(a,multiply(identity,multiply(identity,multiply(identity,Y)))),Y)
% -> multiply(multiply(a,identity),multiply(Y,Y)) is composed into
% [247]
% multiply(multiply(a,multiply(identity,multiply(identity,multiply(identity,Y)))),Y)
% -> multiply(a,multiply(Y,Y))
% Rule [206]
% multiply(multiply(multiply(identity,multiply(Y,Y)),X),identity) <->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity)))))))) is composed into
% [206]
% multiply(multiply(multiply(identity,multiply(Y,Y)),X),identity) <->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),a)))))))
% Rule [201]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(identity,multiply(multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(multiply(a,a),
% multiply(multiply(a,identity),identity)))))))) is composed into
% [201]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),a)))))))
% Rule [198]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(identity,
% multiply(multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(multiply(a,a),
% multiply(multiply(a,identity),identity)))))))) is composed into
% [198]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),a)))))))
% New rule produced : [385] multiply(a,identity) -> a
% Rule
% [197]
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% <-> multiply(multiply(multiply(identity,Y),X),identity) collapsed.
% Rule
% [202]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% <-> multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity)
% collapsed.
% Rule
% [207]
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% <-> multiply(multiply(multiply(identity,multiply(Y,Y)),X),identity)
% collapsed.
% Rule
% [293]
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(multiply(X,identity),identity),
% multiply(multiply(multiply(X,X),identity),
% multiply(multiply(multiply(X,identity),a),
% multiply(identity,multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% -> multiply(multiply(Y,identity),identity) collapsed.
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [386]
% multiply(Y,multiply(identity,multiply(identity,multiply(identity,multiply(a,
% multiply(
% multiply(a,a),a))))))
% -> multiply(Y,identity)
% Current number of equations to process: 4795
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [387]
% multiply(identity,multiply(identity,multiply(identity,multiply(a,multiply(
% multiply(Y,X),identity)))))
% <->
% multiply(a,multiply(identity,multiply(identity,multiply(identity,multiply(
% multiply(Y,identity),
% multiply(X,identity))))))
% Current number of equations to process: 4796
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [388]
% multiply(a,multiply(identity,multiply(identity,multiply(identity,multiply(
% multiply(Y,identity),
% multiply(X,identity))))))
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(a,multiply(
% multiply(Y,X),identity)))))
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [389]
% multiply(Y,multiply(multiply(Y,Y),identity)) <->
% multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity)))
% Current number of equations to process: 4799
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [390]
% multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity)))
% <-> multiply(Y,multiply(multiply(Y,Y),identity))
% Current number of equations to process: 4799
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [391]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,multiply(
% multiply(X,identity),identity)))),Z),V_3))
% -> multiply(Y,multiply(multiply(X,Z),V_3))
% Current number of equations to process: 4930
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [392]
% multiply(multiply(a,a),multiply(multiply(a,a),Y)) ->
% multiply(identity,multiply(identity,Y))
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [393]
% multiply(Y,multiply(a,multiply(multiply(a,a),a))) -> multiply(Y,identity)
% Rule
% [386]
% multiply(Y,multiply(identity,multiply(identity,multiply(identity,multiply(a,
% multiply(
% multiply(a,a),a))))))
% -> multiply(Y,identity) collapsed.
% Current number of equations to process: 1968
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [394] multiply(a,multiply(multiply(a,a),a)) -> identity
% Rule
% [393]
% multiply(Y,multiply(a,multiply(multiply(a,a),a))) -> multiply(Y,identity)
% collapsed.
% Current number of equations to process: 1973
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [395]
% multiply(multiply(multiply(a,a),identity),multiply(multiply(multiply(a,a),Y),identity))
% -> multiply(identity,multiply(identity,multiply(Y,identity)))
% Current number of equations to process: 1987
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [396]
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)))
% -> identity
% Rule
% [189]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(
% multiply(Y,Y),
% multiply(
% multiply(Y,identity),identity)))))
% -> identity collapsed.
% Rule
% [298]
% multiply(multiply(Y,identity),multiply(multiply(X,identity),multiply(
% multiply(X,X),
% multiply(
% multiply(X,identity),identity))))
% -> multiply(multiply(Y,identity),identity) collapsed.
% Rule
% [338]
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(X,identity),
% multiply(multiply(X,X),
% multiply(multiply(X,identity),identity))))))
% -> multiply(identity,multiply(Y,identity)) collapsed.
% Rule
% [339]
% multiply(identity,multiply(multiply(identity,multiply(multiply(X,identity),
% multiply(multiply(X,X),multiply(
% multiply(X,identity),identity)))),Y))
% -> multiply(identity,multiply(identity,Y)) collapsed.
% Rule
% [342]
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,identity),
% multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))
% -> multiply(multiply(Y,identity),identity) collapsed.
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [397]
% multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Y,identity),identity)),X)))
% -> multiply(Y,multiply(identity,multiply(identity,X)))
% Rule
% [243]
% multiply(Y,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,
% multiply(
% multiply(X,identity),identity)),Z))))
% -> multiply(Y,multiply(X,multiply(identity,multiply(identity,Z)))) collapsed.
% Current number of equations to process: 2671
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [398]
% multiply(a,multiply(multiply(multiply(Y,identity),identity),multiply(
% multiply(Y,identity),identity)))
% -> multiply(multiply(a,Y),multiply(multiply(Y,identity),identity))
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 245
% Rule [388]
% multiply(a,multiply(identity,multiply(identity,multiply(identity,
% multiply(multiply(Y,identity),
% multiply(X,identity))))))
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(a,
% multiply(multiply(Y,X),identity))))) is composed into
% [388]
% multiply(a,multiply(identity,multiply(identity,multiply(identity,multiply(
% multiply(Y,identity),
% multiply(X,identity))))))
% <->
% multiply(a,multiply(identity,multiply(identity,multiply(identity,multiply(
% multiply(Y,X),identity)))))
% New rule produced :
% [399]
% multiply(identity,multiply(identity,multiply(identity,multiply(a,Y)))) ->
% multiply(a,multiply(identity,multiply(identity,multiply(identity,Y))))
% Rule
% [387]
% multiply(identity,multiply(identity,multiply(identity,multiply(a,multiply(
% multiply(Y,X),identity)))))
% <->
% multiply(a,multiply(identity,multiply(identity,multiply(identity,multiply(
% multiply(Y,identity),
% multiply(X,identity))))))
% collapsed.
% Current number of equations to process: 2867
% Current number of ordered equations: 0
% Current number of rules: 245
% Rule [390]
% multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity)))
% <-> multiply(Y,multiply(multiply(Y,Y),identity)) is composed into
% [390]
% multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity)))
% -> multiply(Y,multiply(Y,Y))
% Rule [383]
% multiply(identity,multiply(Y,multiply(multiply(Y,identity),identity)))
% <->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(Y,multiply(multiply(Y,Y),identity)))) is composed into
% [383]
% multiply(identity,multiply(Y,multiply(multiply(Y,identity),identity))) <->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(Y,multiply(Y,Y))))
% Rule [367]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,Z),identity)))
% <->
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,X),identity),
% multiply(Z,identity)))) is composed into
% [367]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,Z),identity)))
% <->
% multiply(identity,multiply(Y,multiply(multiply(X,X),multiply(Z,identity))))
% Rule [365]
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(
% multiply(identity,Y),X),identity))
% <->
% multiply(identity,multiply(multiply(identity,multiply(multiply(Y,Y),identity)),
% multiply(X,identity))) is composed into [365]
% multiply(
% multiply(identity,
% multiply(identity,Y)),
% multiply(
% multiply(
% multiply(identity,Y),X),identity))
% ->
% multiply(identity,
% multiply(
% multiply(identity,
% multiply(Y,Y)),
% multiply(X,identity)))
% Rule [363]
% multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)) <->
% multiply(identity,multiply(multiply(multiply(Y,Y),identity),multiply(X,identity))) is composed into
% [363]
% multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)) <->
% multiply(identity,multiply(multiply(Y,Y),multiply(X,identity)))
% Rule [337]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(
% multiply(
% multiply(Y,Y),X),Z),V_3))
% ->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,X),Z),V_3)) is composed into
% [337]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(
% multiply(Y,Y),X),Z),V_3))
% -> multiply(multiply(Y,Y),multiply(multiply(multiply(Y,X),Z),V_3))
% Rule [264]
% multiply(multiply(Y,X),multiply(multiply(X,identity),identity)) <->
% multiply(multiply(Y,identity),multiply(multiply(multiply(X,X),identity),identity)) is composed into
% [264]
% multiply(multiply(Y,X),multiply(multiply(X,identity),identity)) <->
% multiply(multiply(Y,identity),multiply(X,X))
% Rule [241]
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(multiply(identity,
% multiply(X,identity)),
% multiply(multiply(
% multiply(X,identity),identity),identity)))))
% <->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(X,X),identity)) is composed into
% [241]
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,
% multiply(X,identity)),
% multiply(
% multiply(
% multiply(X,identity),identity),identity)))))
% <-> multiply(multiply(identity,multiply(Y,identity)),multiply(X,X))
% Rule [218]
% multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,X),Z)),V_3),identity))
% <->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,
% multiply(
% multiply(Y,X),Z)),V_3),identity)) is composed into
% [218]
% multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,X),Z)),V_3),identity))
% <->
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,multiply(multiply(Y,X),Z)),V_3),identity))
% New rule produced : [400] multiply(multiply(Y,Y),identity) -> multiply(Y,Y)
% Rule
% [33]
% multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),identity),identity))
% <->
% multiply(multiply(Y,identity),multiply(multiply(multiply(Y,identity),identity),
% multiply(identity,multiply(identity,multiply(identity,identity)))))
% collapsed.
% Rule
% [219]
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,
% multiply(
% multiply(Y,X),Z)),V_3),identity))
% <->
% multiply(multiply(multiply(a,a),identity),multiply(multiply(multiply(a,
% multiply(
% multiply(a,X),Z)),V_3),identity))
% collapsed.
% Rule
% [220]
% multiply(multiply(multiply(a,a),identity),multiply(multiply(multiply(a,
% multiply(
% multiply(a,X),Z)),V_3),identity))
% <->
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,
% multiply(
% multiply(Y,X),Z)),V_3),identity))
% collapsed.
% Rule
% [242]
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(X,X),identity))
% <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,
% multiply(X,identity)),
% multiply(
% multiply(
% multiply(X,identity),identity),identity)))))
% collapsed.
% Rule
% [265]
% multiply(multiply(Y,identity),multiply(multiply(multiply(X,X),identity),identity))
% <-> multiply(multiply(Y,X),multiply(multiply(X,identity),identity))
% collapsed.
% Rule
% [282]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),identity),X),identity))
% ->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(multiply(Y,identity),X),identity))
% collapsed.
% Rule
% [285]
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,Y),
% multiply(multiply(Y,identity),identity)),X))
% -> multiply(Y,multiply(identity,X)) collapsed.
% Rule
% [286]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),identity),multiply(
% multiply(Y,Y),X)))
% -> multiply(Y,multiply(multiply(Y,identity),multiply(identity,X))) collapsed.
% Rule
% [300]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(
% multiply(Y,Y),identity)))),
% multiply(Y,X)) -> multiply(multiply(Y,identity),multiply(multiply(Y,Y),X))
% collapsed.
% Rule
% [335]
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(Y,identity),identity),identity)),X))
% -> multiply(identity,multiply(identity,X)) collapsed.
% Rule
% [340]
% multiply(identity,multiply(identity,multiply(multiply(multiply(Y,Y),identity),
% multiply(multiply(Y,identity),multiply(
% multiply(
% multiply(Y,identity),identity),identity)))))
% -> identity collapsed.
% Rule
% [351]
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),identity)) ->
% multiply(Y,multiply(multiply(Y,Y),identity)) collapsed.
% Rule
% [355]
% multiply(identity,multiply(multiply(multiply(Y,Y),identity),multiply(identity,
% multiply(X,identity))))
% ->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(X,identity))))
% collapsed.
% Rule
% [357]
% multiply(multiply(multiply(Z,Z),identity),multiply(multiply(multiply(Z,
% multiply(
% multiply(Z,Y),identity)),X),identity))
% -> multiply(Y,multiply(identity,multiply(X,identity))) collapsed.
% Rule
% [360]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(
% multiply(Y,X),identity))),
% multiply(X,multiply(multiply(X,X),identity)))) ->
% multiply(Y,identity) collapsed.
% Rule
% [361]
% multiply(multiply(multiply(Y,Y),identity),multiply(multiply(multiply(Y,Y),identity),
% multiply(multiply(multiply(Y,identity),identity),identity)))
% -> multiply(Y,identity) collapsed.
% Rule
% [362]
% multiply(identity,multiply(multiply(multiply(Y,Y),identity),multiply(X,identity)))
% <-> multiply(multiply(identity,Y),multiply(multiply(Y,X),identity))
% collapsed.
% Rule
% [364]
% multiply(identity,multiply(multiply(identity,multiply(multiply(Y,Y),identity)),
% multiply(X,identity))) <->
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% collapsed.
% Rule
% [366]
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,X),identity),
% multiply(Z,identity)))) <->
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,Z),identity)))
% collapsed.
% Rule
% [384]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(Y,multiply(multiply(Y,Y),identity))))
% <-> multiply(identity,multiply(Y,multiply(multiply(Y,identity),identity)))
% collapsed.
% Rule
% [389]
% multiply(Y,multiply(multiply(Y,Y),identity)) <->
% multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity)))
% collapsed.
% Rule
% [395]
% multiply(multiply(multiply(a,a),identity),multiply(multiply(multiply(a,a),Y),identity))
% -> multiply(identity,multiply(identity,multiply(Y,identity))) collapsed.
% Current number of equations to process: 2911
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [401]
% multiply(multiply(Y,identity),multiply(Y,Y)) -> multiply(Y,multiply(Y,Y))
% Current number of equations to process: 2910
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [402]
% multiply(multiply(a,a),multiply(multiply(multiply(a,a),Y),identity)) ->
% multiply(identity,multiply(identity,multiply(Y,identity)))
% Current number of equations to process: 2907
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [403]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(multiply(Y,identity),identity),identity)))
% -> multiply(Y,identity)
% Current number of equations to process: 2908
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [404]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)),X))
% -> multiply(Y,multiply(identity,X))
% Current number of equations to process: 2907
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [405]
% multiply(Y,multiply(multiply(Y,identity),multiply(identity,X))) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,Y),X)))
% Current number of equations to process: 2906
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [406]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,Y),X))) <->
% multiply(Y,multiply(multiply(Y,identity),multiply(identity,X)))
% Current number of equations to process: 2906
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [407]
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(multiply(Y,identity),X),identity))
% -> multiply(multiply(identity,Y),multiply(multiply(Y,X),identity))
% Rule
% [241]
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,
% multiply(X,identity)),
% multiply(
% multiply(
% multiply(X,identity),identity),identity)))))
% <-> multiply(multiply(identity,multiply(Y,identity)),multiply(X,X))
% collapsed.
% Current number of equations to process: 2905
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [408]
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),X)) <->
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))),
% multiply(Y,X))
% Current number of equations to process: 2904
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [409]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))),
% multiply(Y,X)) <-> multiply(multiply(Y,identity),multiply(multiply(Y,Y),X))
% Current number of equations to process: 2904
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [410]
% multiply(Y,multiply(a,multiply(multiply(a,a),multiply(a,X)))) ->
% multiply(Y,multiply(identity,multiply(identity,multiply(identity,X))))
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [411]
% multiply(a,multiply(multiply(a,a),multiply(a,Y))) ->
% multiply(identity,multiply(identity,multiply(identity,Y)))
% Rule
% [410]
% multiply(Y,multiply(a,multiply(multiply(a,a),multiply(a,X)))) ->
% multiply(Y,multiply(identity,multiply(identity,multiply(identity,X))))
% collapsed.
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [412]
% multiply(Y,multiply(multiply(Y,multiply(Y,Y)),X)) ->
% multiply(identity,multiply(identity,X))
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [413]
% multiply(identity,multiply(multiply(Y,Y),multiply(identity,multiply(X,identity))))
% <->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(X,identity))))
% Current number of equations to process: 2929
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [414]
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(X,identity))))
% <->
% multiply(identity,multiply(multiply(Y,Y),multiply(identity,multiply(X,identity))))
% Current number of equations to process: 2929
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [415]
% multiply(multiply(Z,Z),multiply(multiply(multiply(Z,multiply(multiply(Z,Y),identity)),X),identity))
% -> multiply(Y,multiply(identity,multiply(X,identity)))
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [416]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),identity),
% multiply(identity,
% multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))))
% -> multiply(Y,identity)
% Current number of equations to process: 2927
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [417]
% multiply(multiply(identity,multiply(identity,multiply(a,multiply(Y,Y)))),
% multiply(Y,multiply(Y,Y))) ->
% multiply(identity,multiply(identity,multiply(a,Y)))
% Current number of equations to process: 2925
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [418]
% multiply(a,multiply(multiply(Y,Y),X)) <->
% multiply(multiply(a,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X))
% Current number of equations to process: 2923
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [419]
% multiply(multiply(a,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X)) <-> multiply(a,multiply(multiply(Y,Y),X))
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [420]
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),multiply(multiply(
% multiply(Y,identity),identity),X)))
% -> multiply(identity,multiply(identity,multiply(identity,X)))
% Current number of equations to process: 2922
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [421]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,identity),multiply(
% multiply(
% multiply(Y,identity),identity),identity)),X))
% -> multiply(identity,multiply(identity,X))
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [422]
% multiply(multiply(X,identity),multiply(multiply(X,X),multiply(multiply(
% multiply(X,identity),Y),identity)))
% ->
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity))))
% Current number of equations to process: 2926
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [423]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(Y,Y)),
% multiply(multiply(identity,multiply(Y,identity)),X)))
% -> multiply(identity,multiply(identity,multiply(identity,X)))
% Current number of equations to process: 3029
% Current number of ordered equations: 0
% Current number of rules: 245
% Rule [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(X,identity),identity),
% multiply(identity,
% multiply(identity,
% multiply(identity,identity)))))))) is composed into
% [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(multiply(a,a),
% multiply(multiply(a,identity),identity))))))))
% Rule [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(multiply(identity,identity),
% multiply(multiply(
% multiply(X,identity),identity),
% multiply(identity,
% multiply(identity,
% multiply(identity,identity)))))))) is composed into
% [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,identity),
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),
% multiply(
% multiply(a,identity),identity))))))))
% New rule produced :
% [424]
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,X))))
% <->
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),multiply(
% multiply(Z,identity),X))))
% Current number of equations to process: 3028
% Current number of ordered equations: 1
% Current number of rules: 246
% New rule produced :
% [425]
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),multiply(
% multiply(Z,identity),X))))
% <->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,X))))
% Current number of equations to process: 3028
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [426]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),multiply(multiply(Y,identity),identity))))
% -> multiply(Y,Y)
% Rule
% [179]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,Y),multiply(multiply(Y,identity),identity))))
% -> multiply(Y,Y) collapsed.
% Rule
% [255]
% multiply(Y,multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,X),multiply(
% multiply(X,identity),identity)))))
% -> multiply(Y,multiply(X,X)) collapsed.
% Current number of equations to process: 3157
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [427]
% multiply(multiply(a,a),multiply(a,multiply(a,multiply(multiply(multiply(
% multiply(Y,identity),X),identity),identity))))
% -> multiply(multiply(Y,identity),X)
% Current number of equations to process: 3169
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [428]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,identity),X),Z))))
% -> multiply(Y,multiply(a,multiply(multiply(a,a),multiply(multiply(a,X),Z))))
% Rule
% [125]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,identity),identity),X))))
% -> multiply(Y,multiply(identity,multiply(identity,multiply(identity,X))))
% collapsed.
% Rule
% [307]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,identity),X),
% multiply(identity,Z)))))
% ->
% multiply(Y,multiply(identity,multiply(identity,multiply(identity,multiply(X,Z)))))
% collapsed.
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [429]
% multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(multiply(Y,X),
% multiply(identity,
% multiply(X,multiply(X,X))))))))
% -> multiply(identity,Y)
% Current number of equations to process: 3202
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [430]
% multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,multiply(Y,Y))))))
% -> multiply(identity,multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 3219
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [431]
% multiply(identity,multiply(Y,multiply(a,multiply(identity,multiply(identity,
% multiply(identity,
% multiply(multiply(a,a),a)))))))
% -> multiply(identity,multiply(Y,identity))
% Current number of equations to process: 3353
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [432]
% multiply(multiply(identity,multiply(Y,multiply(identity,multiply(X,X)))),
% multiply(X,multiply(X,X))) ->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,X)))
% Current number of equations to process: 3359
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [433]
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(X,identity),identity)))
% <->
% multiply(multiply(identity,multiply(Y,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% Current number of equations to process: 3364
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [434]
% multiply(multiply(identity,multiply(Y,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% <->
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(X,identity),identity)))
% Current number of equations to process: 3364
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [435]
% multiply(multiply(Y,multiply(a,multiply(identity,multiply(identity,multiply(identity,
% multiply(
% multiply(a,a),a)))))),X)
% -> multiply(multiply(Y,identity),X)
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 253
% Rule [323]
% multiply(multiply(Y,X),multiply(Z,multiply(identity,V_3))) <->
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,
% multiply(identity,
% multiply(multiply(Z,identity),identity))),V_3))) is composed into
% [323]
% multiply(multiply(Y,X),multiply(Z,multiply(identity,V_3))) <->
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))),V_3)))
% Rule [321]
% multiply(multiply(Y,X),multiply(multiply(identity,Z),V_3)) <->
% multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(identity,
% multiply(identity,
% multiply(multiply(V_3,identity),identity)))))) is composed into
% [321]
% multiply(multiply(Y,X),multiply(multiply(identity,Z),V_3)) <->
% multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(identity,
% multiply(identity,
% multiply(multiply(V_3,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))))))
% Rule [317]
% multiply(multiply(Y,multiply(identity,multiply(multiply(identity,X),Z))),
% multiply(Z,multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity)))) is composed into
% [317]
% multiply(multiply(Y,multiply(identity,multiply(multiply(identity,X),Z))),
% multiply(Z,multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))
% Rule [275]
% multiply(multiply(Y,X),Z) <->
% multiply(multiply(Y,identity),multiply(X,multiply(identity,multiply(identity,
% multiply(
% multiply(Z,identity),identity))))) is composed into
% [275]
% multiply(multiply(Y,X),Z) <->
% multiply(multiply(Y,identity),multiply(X,multiply(identity,multiply(identity,
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [272]
% multiply(multiply(multiply(Y,X),identity),identity) <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,
% multiply(Z,
% multiply(Z,Z))),
% multiply(identity,
% multiply(identity,
% multiply(multiply(Z,identity),identity))))) is composed into
% [272]
% multiply(multiply(multiply(Y,X),identity),identity) <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,
% multiply(Z,
% multiply(Z,Z))),
% multiply(identity,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [195]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(identity,
% multiply(identity,
% multiply(multiply(Z,identity),identity))))) is composed into
% [195]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(identity,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [110]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,Z))) <->
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(
% multiply(X,identity),identity))),Z))) is composed into
% [110]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,Z))) <->
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))),Z)))
% Rule [106]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),Z)) <->
% multiply(identity,multiply(Y,multiply(X,multiply(identity,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))) is composed into
% [106]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),Z)) <->
% multiply(identity,multiply(Y,multiply(X,multiply(identity,multiply(identity,
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))))
% Rule [79]
% multiply(multiply(identity,Y),X) <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity))))) is composed into
% [79]
% multiply(multiply(identity,Y),X) <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [27]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))) is composed into
% [27]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a))))))
% New rule produced :
% [436]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,X),multiply(identity,
% multiply(X,
% multiply(X,X))))))
% Rule
% [7]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))))
% -> Y collapsed.
% Rule
% [26]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% <->
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X)))
% collapsed.
% Rule
% [77]
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,Y),X) collapsed.
% Rule
% [78]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(
% multiply(Y,identity),identity))),X))
% -> multiply(Y,multiply(identity,X)) collapsed.
% Rule
% [104]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% <-> multiply(multiply(identity,multiply(Y,identity)),multiply(X,Z))
% collapsed.
% Rule
% [105]
% multiply(identity,multiply(Y,multiply(X,multiply(identity,multiply(identity,
% multiply(multiply(Z,identity),identity))))))
% <-> multiply(multiply(identity,Y),multiply(multiply(identity,X),Z))
% collapsed.
% Rule
% [108]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(multiply(Y,identity),identity))),X),Z))
% -> multiply(multiply(Y,identity),multiply(multiply(identity,X),Z)) collapsed.
% Rule
% [109]
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% <-> multiply(multiply(identity,Y),multiply(X,multiply(identity,Z)))
% collapsed.
% Rule
% [194]
% multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(identity,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))
% <-> multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) collapsed.
% Rule
% [276]
% multiply(multiply(Y,identity),multiply(X,multiply(identity,multiply(identity,
% multiply(multiply(Z,identity),identity)))))
% <-> multiply(multiply(Y,X),Z) collapsed.
% Rule
% [322]
% multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(identity,
% multiply(identity,
% multiply(multiply(V_3,identity),identity))))))
% <-> multiply(multiply(Y,X),multiply(multiply(identity,Z),V_3)) collapsed.
% Rule
% [324]
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,multiply(identity,
% multiply(
% multiply(Z,identity),identity))),V_3)))
% <-> multiply(multiply(Y,X),multiply(Z,multiply(identity,V_3))) collapsed.
% Current number of equations to process: 3526
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [437]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))))
% -> Y
% Current number of equations to process: 3525
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [438]
% multiply(identity,multiply(identity,multiply(multiply(Y,X),multiply(identity,
% multiply(X,
% multiply(X,X))))))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a))))))
% Current number of equations to process: 3524
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [439]
% multiply(identity,multiply(identity,multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a))))))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,X),multiply(identity,
% multiply(X,
% multiply(X,X))))))
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 245
% Rule [144]
% multiply(multiply(identity,Y),multiply(X,X)) <->
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,X),
% multiply(multiply(X,identity),identity))))) is composed into
% [144]
% multiply(multiply(identity,Y),multiply(X,X)) ->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(X,X)))))
% Rule [113]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,Y),X))),
% multiply(X,multiply(X,X))) ->
% multiply(identity,multiply(multiply(identity,Y),multiply(multiply(Y,identity),identity))) is composed into
% [113]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,Y),X))),
% multiply(X,multiply(X,X))) ->
% multiply(identity,multiply(identity,multiply(Y,Y)))
% New rule produced :
% [440]
% multiply(identity,multiply(multiply(identity,Y),multiply(multiply(Y,identity),identity)))
% -> multiply(identity,multiply(identity,multiply(Y,Y)))
% Rule
% [143]
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,X),
% multiply(multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,Y),multiply(X,X)) collapsed.
% Current number of equations to process: 3554
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [441]
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(Y,
% multiply(Y,Y))))))
% -> identity
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [442]
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,
% multiply(identity,
% multiply(X,X))))))
% -> multiply(multiply(Y,identity),multiply(identity,multiply(X,X)))
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [443]
% multiply(multiply(Y,multiply(identity,multiply(a,multiply(X,X)))),multiply(X,
% multiply(X,X)))
% -> multiply(multiply(Y,identity),multiply(identity,multiply(a,X)))
% Rule
% [417]
% multiply(multiply(identity,multiply(identity,multiply(a,multiply(Y,Y)))),
% multiply(Y,multiply(Y,Y))) ->
% multiply(identity,multiply(identity,multiply(a,Y))) collapsed.
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 247
% Rule [284]
% multiply(multiply(Y,multiply(multiply(Y,identity),multiply(Y,X))),
% multiply(X,multiply(X,X))) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)) is composed into
% [284]
% multiply(multiply(Y,multiply(multiply(Y,identity),multiply(Y,X))),multiply(X,
% multiply(X,X)))
% -> multiply(Y,multiply(Y,Y))
% Rule [246]
% multiply(multiply(identity,Y),multiply(X,multiply(X,X))) <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))) is composed into
% [246]
% multiply(multiply(identity,Y),multiply(X,multiply(X,X))) ->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(X,
% multiply(X,X))))))
% Rule [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(multiply(a,a),
% multiply(multiply(a,identity),identity)))))))) is composed into
% [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(a,multiply(a,a))))))))
% Rule [111]
% multiply(identity,multiply(multiply(Y,identity),identity)) <->
% multiply(identity,multiply(multiply(Y,X),multiply(identity,multiply(
% multiply(X,X),
% multiply(
% multiply(X,identity),identity))))) is composed into
% [111]
% multiply(identity,multiply(multiply(Y,identity),identity)) <->
% multiply(identity,multiply(multiply(Y,X),multiply(identity,multiply(X,
% multiply(X,X)))))
% Rule [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(multiply(identity,identity),
% multiply(multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(multiply(a,a),
% multiply(multiply(a,identity),identity)))))))) is composed into
% [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,identity),
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [50]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(
% multiply(Y,identity),identity),
% multiply(multiply(Y,identity),identity)))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)) is composed into
% [50]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(Y,identity),identity),
% multiply(multiply(Y,identity),identity)))
% -> multiply(Y,multiply(Y,Y))
% New rule produced :
% [444]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)) ->
% multiply(Y,multiply(Y,Y))
% Rule
% [22]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)))
% -> Y collapsed.
% Rule
% [140]
% multiply(multiply(Y,X),multiply(identity,multiply(multiply(X,X),multiply(
% multiply(X,identity),identity))))
% <-> multiply(multiply(Y,identity),identity) collapsed.
% Rule
% [161]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,Y),
% multiply(multiply(Y,identity),identity)))))
% -> multiply(Y,multiply(Y,Y)) collapsed.
% Rule
% [216]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,X),
% multiply(identity,
% multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))))
% -> Y collapsed.
% Rule
% [234]
% multiply(multiply(Y,multiply(identity,multiply(multiply(X,X),multiply(
% multiply(X,identity),identity)))),
% multiply(multiply(X,identity),identity)) ->
% multiply(multiply(Y,identity),identity) collapsed.
% Rule
% [245]
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(X,X),
% multiply(
% multiply(X,identity),identity))))))
% <-> multiply(multiply(identity,Y),multiply(X,multiply(X,X))) collapsed.
% Rule
% [396]
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)))
% -> identity collapsed.
% Rule
% [404]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)),X))
% -> multiply(Y,multiply(identity,X)) collapsed.
% Rule
% [416]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),identity),
% multiply(identity,
% multiply(multiply(X,X),
% multiply(multiply(X,identity),identity)))))))
% -> multiply(Y,identity) collapsed.
% Current number of equations to process: 3645
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [445] multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y))) -> Y
% Current number of equations to process: 3644
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [446] multiply(multiply(Y,identity),multiply(Y,multiply(Y,Y))) -> identity
% Current number of equations to process: 3643
% Current number of ordered equations: 0
% Current number of rules: 241
% Rule [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),multiply(multiply(Y,identity),
% multiply(identity,
% multiply(identity,
% multiply(identity,identity))))),
% multiply(multiply(multiply(multiply(Y,X),identity),Z),multiply(identity,
% multiply(identity,
% multiply(identity,identity))))) is composed into
% [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),multiply(multiply(Y,identity),identity)),
% multiply(multiply(multiply(multiply(Y,X),identity),Z),multiply(identity,
% multiply(identity,
% multiply(identity,identity)))))
% New rule produced :
% [447]
% multiply(multiply(Y,X),multiply(identity,multiply(X,multiply(X,X)))) <->
% multiply(multiply(Y,identity),identity)
% Current number of equations to process: 3642
% Current number of ordered equations: 1
% Current number of rules: 242
% Rule [447]
% multiply(multiply(Y,X),multiply(identity,multiply(X,multiply(X,X)))) <->
% multiply(multiply(Y,identity),identity) is composed into [447]
% multiply(
% multiply(Y,X),
% multiply(identity,
% multiply(X,
% multiply(X,X))))
% <->
% multiply(
% multiply(Y,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))
% Rule [434]
% multiply(multiply(identity,multiply(Y,multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(X,identity),identity))) is composed into
% [434]
% multiply(multiply(identity,multiply(Y,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% <->
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(X,a),
% multiply(identity,multiply(a,
% multiply(a,a))))))
% Rule [382]
% multiply(identity,multiply(multiply(multiply(Y,multiply(identity,
% multiply(identity,
% multiply(X,identity)))),Z),identity))
% ->
% multiply(multiply(identity,multiply(multiply(Y,identity),identity)),
% multiply(X,multiply(Z,identity))) is composed into [382]
% multiply(identity,
% multiply(multiply(
% multiply(Y,
% multiply(identity,
% multiply(identity,
% multiply(X,identity)))),Z),identity))
% ->
% multiply(multiply(identity,
% multiply(
% multiply(Y,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))),
% multiply(X,multiply(Z,identity)))
% Rule [371]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,Z)) <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,identity),Z)) is composed into
% [371]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,Z)) <->
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(multiply(X,identity),Z))
% Rule [352]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(Z,identity)))
% <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,Z),identity)) is composed into
% [352]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(Z,identity)))
% <->
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(multiply(X,Z),identity))
% Rule [349]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(X,
% multiply(identity,
% multiply(multiply(Z,identity),identity))))) is composed into
% [349]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [346]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)) <->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,
% multiply(identity,
% multiply(multiply(Z,identity),identity)))))) is composed into
% [346]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)) <->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))))
% Rule [331]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(X,identity),identity))) is composed into
% [331]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a))))))
% Rule [327]
% multiply(multiply(identity,multiply(Y,X)),multiply(Z,Z)) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(
% multiply(identity,Z),
% multiply(
% multiply(Z,identity),identity))))) is composed into
% [327]
% multiply(multiply(identity,multiply(Y,X)),multiply(Z,Z)) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,Z),
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [313]
% multiply(multiply(a,multiply(identity,multiply(multiply(Y,Y),X))),
% multiply(X,multiply(X,X))) ->
% multiply(a,multiply(multiply(identity,Y),multiply(multiply(Y,identity),identity))) is composed into
% [313]
% multiply(multiply(a,multiply(identity,multiply(multiply(Y,Y),X))),multiply(X,
% multiply(X,X)))
% ->
% multiply(a,multiply(multiply(identity,Y),multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a))))))
% Rule [311]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),
% multiply(X,multiply(identity,Z))) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(
% multiply(X,identity),identity))),Z))) is composed into
% [311]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,
% multiply(identity,Z)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))),Z)))
% Rule [309]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(X,Z)) <->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z)) is composed into
% [309]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(X,Z)) <->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))),Z))
% Rule [303]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),
% multiply(X,Z)) <->
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(
% multiply(X,identity),identity)))),Z)) is composed into
% [303]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,Z))
% <->
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a))))))),Z))
% Rule [291]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),Z) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(X,multiply(multiply(Z,identity),identity))))) is composed into
% [291]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),Z) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(X,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [279]
% multiply(multiply(multiply(multiply(identity,Y),X),identity),multiply(identity,Z))
% ->
% multiply(multiply(identity,multiply(multiply(Y,identity),identity)),
% multiply(multiply(X,identity),Z)) is composed into [279]
% multiply(multiply(
% multiply(
% multiply(identity,Y),X),identity),
% multiply(identity,Z))
% ->
% multiply(multiply(identity,
% multiply(
% multiply(Y,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))),
% multiply(multiply(X,identity),Z))
% Rule [278]
% multiply(multiply(identity,multiply(Y,X)),Z) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(
% multiply(Z,identity),identity))))) is composed into
% [278]
% multiply(multiply(identity,multiply(Y,X)),Z) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [273]
% multiply(multiply(multiply(Y,X),identity),multiply(multiply(identity,Z),V_3))
% <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,Z),V_3)) is composed into
% [273]
% multiply(multiply(multiply(Y,X),identity),multiply(multiply(identity,Z),V_3))
% <->
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(multiply(X,Z),V_3))
% Rule [263]
% multiply(multiply(Y,multiply(X,multiply(identity,Z))),multiply(Z,
% multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(multiply(X,identity),identity)) is composed into
% [263]
% multiply(multiply(Y,multiply(X,multiply(identity,Z))),multiply(Z,multiply(Z,Z)))
% ->
% multiply(multiply(Y,identity),multiply(multiply(X,a),multiply(identity,
% multiply(a,multiply(a,a)))))
% Rule [262]
% multiply(multiply(Y,multiply(identity,multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,identity),identity))) is composed into
% [262]
% multiply(multiply(Y,multiply(identity,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% <->
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,a),
% multiply(identity,multiply(a,
% multiply(a,a))))))
% Rule [240]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,multiply(identity,
% multiply(identity,Z))))
% <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,
% multiply(
% multiply(X,identity),identity)),Z)))) is composed into
% [240]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,multiply(identity,
% multiply(identity,Z))))
% <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a))))),Z))))
% Rule [238]
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(identity,X)),Z))
% <->
% multiply(identity,multiply(identity,multiply(Y,multiply(X,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))) is composed into
% [238]
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(identity,X)),Z))
% <->
% multiply(identity,multiply(identity,multiply(Y,multiply(X,multiply(identity,
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))))
% Rule [233]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,
% multiply(identity,Z)))))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(
% multiply(X,identity),identity),Z))))) is composed into
% [233]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,
% multiply(identity,Z)))))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))),Z)))))
% Rule [230]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,
% multiply(X,multiply(
% multiply(Z,identity),identity)))))) is composed into
% [230]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(X,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))))
% Rule [212]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(multiply(Y,multiply(Y,Y)),identity)))
% ->
% multiply(identity,multiply(Y,multiply(multiply(Y,identity),identity))) is composed into
% [212]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(multiply(Y,multiply(Y,Y)),identity)))
% ->
% multiply(identity,multiply(Y,multiply(multiply(Y,a),multiply(identity,
% multiply(a,multiply(a,a))))))
% Rule [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),multiply(multiply(Y,identity),identity)),
% multiply(multiply(multiply(multiply(Y,X),identity),Z),multiply(identity,
% multiply(identity,
% multiply(identity,identity))))) is composed into
% [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),multiply(multiply(Y,a),
% multiply(identity,multiply(a,
% multiply(a,a))))),
% multiply(multiply(multiply(multiply(Y,X),identity),Z),multiply(identity,
% multiply(identity,
% multiply(identity,identity)))))
% Rule [138]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,Z))))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,
% multiply(
% multiply(X,identity),identity)),Z)))) is composed into
% [138]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,Z))))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a))))),Z))))
% Rule [136]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,X)),Z))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(X,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))) is composed into
% [136]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,X)),Z))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(X,multiply(identity,
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))))
% Rule [129]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,X)) <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,X),
% multiply(multiply(X,identity),identity))))) is composed into
% [129]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,X)) <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,X),
% multiply(multiply(X,a),
% multiply(identity,multiply(a,
% multiply(a,a))))))))
% Rule [124]
% multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,
% multiply(multiply(X,identity),identity))))) is composed into
% [124]
% multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X) <->
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [121]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(identity,multiply(multiply(
% multiply(X,identity),identity),identity))))) is composed into
% [121]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))),identity)))))
% Rule [93]
% multiply(multiply(identity,multiply(identity,Y)),X) <->
% multiply(identity,multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))))) is composed into
% [93]
% multiply(multiply(identity,multiply(identity,Y)),X) <->
% multiply(identity,multiply(identity,multiply(Y,multiply(identity,multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% Rule [61]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X))
% <->
% multiply(Y,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,identity),
% multiply(identity,
% multiply(
% multiply(X,identity),identity)))))) is composed into
% [61]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X)) <->
% multiply(Y,multiply(multiply(Y,identity),multiply(identity,multiply(multiply(identity,identity),
% multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))))
% New rule produced :
% [448]
% multiply(multiply(Y,identity),identity) <->
% multiply(multiply(Y,X),multiply(identity,multiply(X,multiply(X,X))))
% Rule
% [50]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(Y,identity),identity),
% multiply(multiply(Y,identity),identity)))
% -> multiply(Y,multiply(Y,Y)) collapsed.
% Rule
% [92]
% multiply(identity,multiply(identity,multiply(Y,multiply(identity,multiply(
% multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,multiply(identity,Y)),X) collapsed.
% Rule
% [111]
% multiply(identity,multiply(multiply(Y,identity),identity)) <->
% multiply(identity,multiply(multiply(Y,X),multiply(identity,multiply(X,
% multiply(X,X)))))
% collapsed.
% Rule
% [123]
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(
% multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X)
% collapsed.
% Rule
% [128]
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,X),
% multiply(multiply(X,identity),identity)))))
% <-> multiply(multiply(identity,multiply(identity,Y)),multiply(X,X))
% collapsed.
% Rule
% [134]
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(multiply(identity,Y),identity)),multiply(X,Z))
% collapsed.
% Rule
% [135]
% multiply(identity,multiply(Y,multiply(identity,multiply(X,multiply(identity,
% multiply(multiply(Z,identity),identity))))))
% <->
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,X)),Z))
% collapsed.
% Rule
% [137]
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,
% multiply(multiply(X,identity),identity)),Z))))
% <->
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,Z))))
% collapsed.
% Rule
% [175]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),multiply(
% multiply(X,identity),identity))),Z))
% -> multiply(multiply(X,X),multiply(identity,Z)) collapsed.
% Rule
% [227]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(multiply(identity,identity),multiply(
% multiply(identity,Y),
% multiply(identity,
% multiply(identity,
% multiply(identity,identity)))))),
% multiply(X,Z)) collapsed.
% Rule
% [229]
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(X,
% multiply(
% multiply(Z,identity),identity))))))
% <->
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% collapsed.
% Rule
% [231]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(
% multiply(
% multiply(Y,identity),identity),X))),Z))
% ->
% multiply(multiply(Y,identity),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% collapsed.
% Rule
% [232]
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(
% multiply(
% multiply(X,identity),identity),Z)))))
% <->
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,
% multiply(identity,Z)))))
% collapsed.
% Rule
% [236]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% <->
% multiply(multiply(identity,multiply(multiply(identity,Y),identity)),multiply(X,
% multiply(identity,Z)))
% collapsed.
% Rule
% [237]
% multiply(identity,multiply(identity,multiply(Y,multiply(X,multiply(identity,
% multiply(multiply(Z,identity),identity))))))
% <->
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(identity,X)),Z))
% collapsed.
% Rule
% [239]
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,
% multiply(multiply(X,identity),identity)),Z))))
% <->
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,multiply(identity,
% multiply(identity,Z))))
% collapsed.
% Rule
% [259]
% multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,multiply(identity,
% multiply(multiply(Y,identity),identity))),X)))
% -> multiply(identity,multiply(Y,multiply(identity,X))) collapsed.
% Rule
% [261]
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,identity),identity)))
% <->
% multiply(multiply(Y,multiply(identity,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% collapsed.
% Rule
% [264]
% multiply(multiply(Y,X),multiply(multiply(X,identity),identity)) <->
% multiply(multiply(Y,identity),multiply(X,X)) collapsed.
% Rule
% [272]
% multiply(multiply(multiply(Y,X),identity),identity) <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,
% multiply(Z,
% multiply(Z,Z))),
% multiply(identity,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% collapsed.
% Rule
% [274]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,Z),V_3))
% <->
% multiply(multiply(multiply(Y,X),identity),multiply(multiply(identity,Z),V_3))
% collapsed.
% Rule
% [277]
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(multiply(Z,identity),identity)))))
% <-> multiply(multiply(identity,multiply(Y,X)),Z) collapsed.
% Rule
% [287]
% multiply(identity,multiply(multiply(multiply(Y,identity),identity),multiply(
% multiply(Y,X),identity)))
% ->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(X,identity))))
% collapsed.
% Rule
% [290]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(X,
% multiply(
% multiply(Z,identity),identity)))))
% <-> multiply(multiply(identity,multiply(identity,multiply(Y,X))),Z)
% collapsed.
% Rule
% [294]
% multiply(identity,multiply(X,multiply(multiply(X,identity),multiply(multiply(X,X),
% multiply(multiply(Y,identity),identity)))))
% -> multiply(identity,Y) collapsed.
% Rule
% [302]
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,Z))
% collapsed.
% Rule
% [308]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,identity),identity)))),Z))
% <->
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(X,Z)) collapsed.
% Rule
% [310]
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(multiply(X,identity),identity))),Z)))
% <->
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,
% multiply(identity,Z)))
% collapsed.
% Rule
% [312]
% multiply(multiply(identity,multiply(X,X)),multiply(multiply(identity,
% multiply(X,identity)),
% multiply(multiply(multiply(
% multiply(identity,X),Y),identity),identity)))
% -> Y collapsed.
% Rule
% [326]
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,Z),
% multiply(multiply(Z,identity),identity)))))
% <-> multiply(multiply(identity,multiply(Y,X)),multiply(Z,Z)) collapsed.
% Rule
% [330]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(X,identity),identity)))
% <->
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% collapsed.
% Rule
% [337]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(
% multiply(Y,Y),X),Z),V_3))
% -> multiply(multiply(Y,Y),multiply(multiply(multiply(Y,X),Z),V_3)) collapsed.
% Rule
% [341]
% multiply(X,multiply(multiply(X,identity),multiply(multiply(X,X),multiply(
% multiply(identity,Y),
% multiply(
% multiply(Y,identity),identity)))))
% -> multiply(identity,multiply(Y,Y)) collapsed.
% Rule
% [347]
% multiply(identity,multiply(identity,multiply(identity,multiply(X,multiply(identity,
% multiply(
% multiply(Z,identity),identity))))))
% <-> multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)) collapsed.
% Rule
% [348]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(
% multiply(Z,identity),identity)))))
% <-> multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) collapsed.
% Rule
% [353]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,Z),identity))
% <->
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(Z,identity)))
% collapsed.
% Rule
% [370]
% multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity),identity)
% -> multiply(Y,multiply(multiply(X,identity),identity)) collapsed.
% Rule
% [372]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,identity),Z))
% <-> multiply(multiply(multiply(Y,X),identity),multiply(identity,Z))
% collapsed.
% Rule
% [375]
% multiply(multiply(multiply(Y,X),identity),identity) <->
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,identity),identity))
% collapsed.
% Rule
% [376]
% multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,identity),identity))
% <-> multiply(multiply(multiply(Y,X),identity),identity) collapsed.
% Rule
% [377]
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,identity),identity),
% multiply(multiply(X,identity),identity)))) <->
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,identity),identity)))
% collapsed.
% Rule
% [378]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),multiply(
% multiply(X,identity),identity)))
% <->
% multiply(identity,multiply(Y,multiply(multiply(multiply(X,identity),identity),
% multiply(multiply(X,identity),identity))))
% collapsed.
% Rule
% [383]
% multiply(identity,multiply(Y,multiply(multiply(Y,identity),identity))) <->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(Y,multiply(Y,Y))))
% collapsed.
% Rule
% [391]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,multiply(
% multiply(X,identity),identity)))),Z),V_3))
% -> multiply(Y,multiply(multiply(X,Z),V_3)) collapsed.
% Rule
% [397]
% multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Y,identity),identity)),X)))
% -> multiply(Y,multiply(identity,multiply(identity,X))) collapsed.
% Rule
% [398]
% multiply(a,multiply(multiply(multiply(Y,identity),identity),multiply(
% multiply(Y,identity),identity)))
% -> multiply(multiply(a,Y),multiply(multiply(Y,identity),identity)) collapsed.
% Rule
% [403]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(multiply(Y,identity),identity),identity)))
% -> multiply(Y,identity) collapsed.
% Rule
% [420]
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),multiply(multiply(
% multiply(Y,identity),identity),X)))
% -> multiply(identity,multiply(identity,multiply(identity,X))) collapsed.
% Rule
% [421]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,identity),multiply(
% multiply(
% multiply(Y,identity),identity),identity)),X))
% -> multiply(identity,multiply(identity,X)) collapsed.
% Rule
% [426]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),multiply(multiply(Y,identity),identity))))
% -> multiply(Y,Y) collapsed.
% Rule
% [427]
% multiply(multiply(a,a),multiply(a,multiply(a,multiply(multiply(multiply(
% multiply(Y,identity),X),identity),identity))))
% -> multiply(multiply(Y,identity),X) collapsed.
% Rule
% [433]
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(X,identity),identity)))
% <->
% multiply(multiply(identity,multiply(Y,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% collapsed.
% Rule
% [436]
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,X),multiply(identity,
% multiply(X,
% multiply(X,X))))))
% collapsed.
% Rule
% [440]
% multiply(identity,multiply(multiply(identity,Y),multiply(multiply(Y,identity),identity)))
% -> multiply(identity,multiply(identity,multiply(Y,Y))) collapsed.
% Rule
% [444]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)) ->
% multiply(Y,multiply(Y,Y)) collapsed.
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [449]
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(Y,Y)))))
% -> multiply(Y,multiply(Y,Y))
% Rule
% [430]
% multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,multiply(Y,Y))))))
% -> multiply(identity,multiply(Y,multiply(Y,Y))) collapsed.
% Current number of equations to process: 3691
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [450]
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(Y,Y)),X)) ->
% multiply(Y,multiply(identity,X))
% Current number of equations to process: 3690
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [451]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,X),
% multiply(identity,
% multiply(X,multiply(X,X)))))))
% -> Y
% Rule
% [429]
% multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(multiply(Y,X),
% multiply(identity,
% multiply(X,multiply(X,X))))))))
% -> multiply(identity,Y) collapsed.
% Rule
% [437]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))))
% -> Y collapsed.
% Current number of equations to process: 3689
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [452]
% multiply(multiply(Y,multiply(identity,multiply(X,multiply(X,X)))),multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))
% -> multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a))))
% Current number of equations to process: 3688
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [453]
% multiply(multiply(Y,Y),multiply(multiply(Y,a),multiply(identity,multiply(a,
% multiply(a,a)))))
% -> multiply(Y,multiply(Y,Y))
% Current number of equations to process: 3687
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [454]
% multiply(multiply(Y,X),multiply(multiply(X,a),multiply(identity,multiply(a,
% multiply(a,a)))))
% <-> multiply(multiply(Y,identity),multiply(X,X))
% Current number of equations to process: 3686
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [455]
% multiply(multiply(Y,identity),multiply(X,X)) <->
% multiply(multiply(Y,X),multiply(multiply(X,a),multiply(identity,multiply(a,
% multiply(a,a)))))
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [456]
% multiply(identity,multiply(identity,multiply(a,multiply(a,multiply(a,a)))))
% -> identity
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [457]
% multiply(Y,multiply(a,multiply(a,multiply(a,a)))) -> multiply(Y,identity)
% Rule
% [456]
% multiply(identity,multiply(identity,multiply(a,multiply(a,multiply(a,a)))))
% -> identity collapsed.
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [458]
% multiply(multiply(a,a),multiply(a,multiply(multiply(multiply(a,Y),a),
% multiply(identity,multiply(a,multiply(a,a))))))
% -> Y
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [459]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),identity),
% multiply(identity,
% multiply(X,multiply(X,X)))))))
% -> multiply(Y,identity)
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [460]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(X,X)))
% <->
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(X,multiply(X,X)))
% Current number of equations to process: 3725
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [461]
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(X,multiply(X,X))) <->
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(X,X)))
% Current number of equations to process: 3725
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [462]
% multiply(identity,multiply(multiply(identity,Y),multiply(multiply(Y,a),
% multiply(identity,multiply(a,
% multiply(a,a))))))
% -> multiply(identity,multiply(identity,multiply(Y,Y)))
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [463]
% multiply(multiply(Y,multiply(identity,multiply(X,multiply(Z,identity)))),
% multiply(Z,multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,a),
% multiply(identity,multiply(a,
% multiply(a,a))))))
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [464]
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(X,identity))))
% -> multiply(multiply(Y,identity),multiply(identity,multiply(identity,X)))
% Current number of equations to process: 3735
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [465]
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(identity,X))))
% <->
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),multiply(identity,
% multiply(identity,X))))
% Current number of equations to process: 3735
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [466]
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),multiply(identity,
% multiply(identity,X))))
% <->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(identity,X))))
% Current number of equations to process: 3735
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [467]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(identity,X)))),X))
% -> multiply(identity,multiply(multiply(Y,identity),multiply(X,X)))
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [468]
% multiply(identity,multiply(multiply(multiply(identity,Y),X),Z)) ->
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(
% multiply(identity,X),Z))
% Rule
% [100]
% multiply(identity,multiply(multiply(multiply(identity,multiply(Y,Y)),X),identity))
% ->
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% collapsed.
% Rule
% [157]
% multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),X),Z)))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),Z)))
% collapsed.
% Rule
% [218]
% multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,X),Z)),V_3),identity))
% <->
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,multiply(multiply(Y,X),Z)),V_3),identity))
% collapsed.
% Rule
% [356]
% multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,identity))),X),identity))
% -> multiply(Y,multiply(identity,multiply(X,identity))) collapsed.
% Current number of equations to process: 3930
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [469]
% multiply(multiply(multiply(identity,Y),X),identity) ->
% multiply(multiply(identity,multiply(Y,identity)),multiply(X,identity))
% Rule
% [91]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(
% multiply(identity,identity),
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))
% collapsed.
% Rule
% [121]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))),identity)))))
% collapsed.
% Rule
% [160]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X),identity)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(a,multiply(a,a))))))))
% collapsed.
% Rule
% [190]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),Y),identity)
% -> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y))) collapsed.
% Rule
% [198]
% multiply(multiply(multiply(identity,Y),X),identity) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),a)))))))
% collapsed.
% Rule
% [201]
% multiply(multiply(multiply(identity,multiply(identity,Y)),X),identity) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),a)))))))
% collapsed.
% Rule
% [206]
% multiply(multiply(multiply(identity,multiply(Y,Y)),X),identity) <->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(identity,
% multiply(
% multiply(
% multiply(X,identity),a),
% multiply(identity,
% multiply(
% multiply(a,a),a)))))))
% collapsed.
% Rule
% [270]
% multiply(multiply(multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity)))),X),identity)
% -> multiply(Y,multiply(X,identity)) collapsed.
% Rule
% [279]
% multiply(multiply(multiply(multiply(identity,Y),X),identity),multiply(identity,Z))
% ->
% multiply(multiply(identity,multiply(multiply(Y,a),multiply(identity,multiply(a,
% multiply(a,a))))),
% multiply(multiply(X,identity),Z)) collapsed.
% Rule
% [358]
% multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,
% multiply(Y,Y)),X),identity),Z)))
% ->
% multiply(multiply(Y,Y),multiply(identity,multiply(multiply(identity,multiply(X,identity)),Z)))
% collapsed.
% Rule
% [365]
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% ->
% multiply(identity,multiply(multiply(identity,multiply(Y,Y)),multiply(X,identity)))
% collapsed.
% Rule
% [381]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(multiply(identity,Y),X),identity))
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,
% multiply(Y,identity)),
% multiply(X,identity))) collapsed.
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [470]
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(multiply(X,X),Z),identity)))
% <->
% multiply(identity,multiply(multiply(Y,X),multiply(multiply(X,Z),identity)))
% Current number of equations to process: 4065
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [471]
% multiply(identity,multiply(multiply(Y,X),multiply(multiply(X,Z),identity)))
% <->
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(multiply(X,X),Z),identity)))
% Current number of equations to process: 4065
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [472]
% multiply(identity,multiply(multiply(Y,multiply(X,identity)),multiply(
% multiply(identity,Z),V_3)))
% <->
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(X,Z),V_3)))
% Current number of equations to process: 4064
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [473]
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(X,Z),V_3)))
% <->
% multiply(identity,multiply(multiply(Y,multiply(X,identity)),multiply(
% multiply(identity,Z),V_3)))
% Current number of equations to process: 4064
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [474]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(X,X)))),Z))
% <->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(X,X),Z))
% Current number of equations to process: 4063
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [475]
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(X,X),Z))
% <->
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(X,X)))),Z))
% Current number of equations to process: 4063
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [476]
% multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,Y))))) ->
% multiply(identity,multiply(Y,Y))
% Rule
% [442]
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,
% multiply(identity,
% multiply(X,X))))))
% -> multiply(multiply(Y,identity),multiply(identity,multiply(X,X))) collapsed.
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 195
% Rule [138]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,Z))))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))),Z)))) is composed into
% [138]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,Z))))
% <->
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(multiply(X,a),identity))),
% multiply(multiply(identity,multiply(identity,
% multiply(identity,
% multiply(a,multiply(a,a))))),Z))))
% New rule produced :
% [477]
% multiply(identity,multiply(multiply(identity,multiply(Y,X)),Z)) <->
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(
% multiply(identity,
% multiply(identity,X)),Z))
% Current number of equations to process: 4205
% Current number of ordered equations: 3
% Current number of rules: 196
% Rule [233]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,
% multiply(identity,Z)))))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))),Z))))) is composed into
% [233]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,
% multiply(identity,Z)))))
% <->
% multiply(identity,multiply(Y,multiply(multiply(identity,identity),multiply(
% multiply(identity,
% multiply(
% multiply(X,a),identity)),
% multiply(
% multiply(identity,
% multiply(identity,
% multiply(a,
% multiply(a,a)))),Z)))))
% New rule produced :
% [478]
% multiply(identity,multiply(Y,multiply(multiply(X,Z),V_3))) <->
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(X,identity)),
% multiply(multiply(identity,Z),V_3)))
% Current number of equations to process: 4205
% Current number of ordered equations: 2
% Current number of rules: 197
% New rule produced :
% [479]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(
% multiply(identity,
% multiply(identity,X)),Z))
% <-> multiply(identity,multiply(multiply(identity,multiply(Y,X)),Z))
% Current number of equations to process: 4205
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [480]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(X,identity)),
% multiply(multiply(identity,Z),V_3))) <->
% multiply(identity,multiply(Y,multiply(multiply(X,Z),V_3)))
% Current number of equations to process: 4205
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [481]
% multiply(identity,multiply(multiply(Y,X),multiply(Z,Z))) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(identity,
% multiply(Z,Z))))))
% Current number of equations to process: 4204
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [482]
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(identity,
% multiply(Z,Z))))))
% <-> multiply(identity,multiply(multiply(Y,X),multiply(Z,Z)))
% Current number of equations to process: 4204
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [483]
% multiply(identity,multiply(multiply(multiply(Y,X),Z),V_3)) <->
% multiply(multiply(identity,multiply(multiply(Y,identity),multiply(X,identity))),
% multiply(multiply(identity,Z),V_3))
% Rule
% [382]
% multiply(identity,multiply(multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(X,identity)))),Z),identity))
% ->
% multiply(multiply(identity,multiply(multiply(Y,a),multiply(identity,multiply(a,
% multiply(a,a))))),
% multiply(X,multiply(Z,identity))) collapsed.
% Current number of equations to process: 4203
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [484]
% multiply(multiply(identity,multiply(multiply(Y,identity),multiply(X,identity))),
% multiply(multiply(identity,Z),V_3)) <->
% multiply(identity,multiply(multiply(multiply(Y,X),Z),V_3))
% Current number of equations to process: 4203
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [485]
% multiply(a,multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))))
% -> multiply(a,multiply(Y,Y))
% Current number of equations to process: 4397
% Current number of ordered equations: 0
% Current number of rules: 203
% Rule [334]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),Z),
% multiply(identity,V_3))) ->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(
% multiply(Y,X),identity),
% multiply(Z,V_3))) is composed into
% [334]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),Z),multiply(identity,V_3)))
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,
% multiply(X,identity)),
% multiply(Z,V_3)))
% New rule produced :
% [486]
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(multiply(Y,X),identity),Z))
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,
% multiply(X,identity)),Z))
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [487]
% multiply(identity,multiply(multiply(multiply(Y,Y),X),Z)) ->
% multiply(multiply(identity,Y),multiply(multiply(Y,X),Z))
% Rule
% [81]
% multiply(identity,multiply(multiply(multiply(Y,Y),X),identity)) ->
% multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)) collapsed.
% Rule
% [336]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,Y),X),Z))))
% ->
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))))
% collapsed.
% Current number of equations to process: 4587
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [488]
% multiply(identity,multiply(multiply(Y,Y),X)) <->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),X))
% Rule
% [413]
% multiply(identity,multiply(multiply(Y,Y),multiply(identity,multiply(X,identity))))
% <->
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(X,identity))))
% collapsed.
% Current number of equations to process: 4625
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [489]
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),X)) <->
% multiply(identity,multiply(multiply(Y,Y),X))
% Rule
% [414]
% multiply(multiply(identity,Y),multiply(multiply(Y,identity),multiply(identity,
% multiply(X,identity))))
% <->
% multiply(identity,multiply(multiply(Y,Y),multiply(identity,multiply(X,identity))))
% collapsed.
% Current number of equations to process: 4625
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [490]
% multiply(identity,multiply(multiply(Y,identity),multiply(Y,identity))) ->
% multiply(identity,multiply(Y,Y))
% Current number of equations to process: 4660
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [491]
% multiply(identity,multiply(multiply(identity,multiply(multiply(Y,Y),X)),Z))
% ->
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(Y,X)),Z))
% Current number of equations to process: 4662
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [492]
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(identity,
% multiply(Y,Y)),X))
% <->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,
% multiply(Y,identity)),X))
% Current number of equations to process: 4739
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [493]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,
% multiply(Y,identity)),X))
% <->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(identity,
% multiply(Y,Y)),X))
% Current number of equations to process: 4739
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [494]
% multiply(identity,multiply(multiply(identity,multiply(Y,Y)),multiply(X,identity)))
% <->
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(Y,identity)),
% multiply(X,identity)))
% Current number of equations to process: 4803
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [495]
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(Y,identity)),
% multiply(X,identity))) <->
% multiply(identity,multiply(multiply(identity,multiply(Y,Y)),multiply(X,identity)))
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [496]
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(identity,
% multiply(X,
% multiply(X,
% multiply(X,X))))))))
% -> multiply(identity,multiply(identity,multiply(identity,Y)))
% Current number of equations to process: 4802
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [497]
% multiply(multiply(Y,X),multiply(multiply(identity,multiply(Z,identity)),
% multiply(multiply(identity,V_3),V_4))) <->
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(Z,V_3),V_4)))
% Current number of equations to process: 4801
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [498]
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(Z,V_3),V_4))) <->
% multiply(multiply(Y,X),multiply(multiply(identity,multiply(Z,identity)),
% multiply(multiply(identity,V_3),V_4)))
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [499]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),Z),V_3)) ->
% multiply(multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)),
% multiply(multiply(identity,Z),V_3))
% Rule
% [101]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),identity),Z))
% ->
% multiply(multiply(multiply(identity,Y),identity),multiply(multiply(multiply(Y,X),identity),Z))
% collapsed.
% Rule
% [334]
% multiply(identity,multiply(multiply(multiply(multiply(Y,Y),X),Z),multiply(identity,V_3)))
% ->
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,
% multiply(X,identity)),
% multiply(Z,V_3))) collapsed.
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [500]
% multiply(identity,multiply(multiply(identity,Y),multiply(multiply(Y,X),
% multiply(identity,multiply(X,
% multiply(X,X))))))
% -> multiply(identity,multiply(identity,multiply(Y,Y)))
% Rule
% [462]
% multiply(identity,multiply(multiply(identity,Y),multiply(multiply(Y,a),
% multiply(identity,multiply(a,
% multiply(a,a))))))
% -> multiply(identity,multiply(identity,multiply(Y,Y))) collapsed.
% Current number of equations to process: 4799
% Current number of ordered equations: 0
% Current number of rules: 211
% Rule [280]
% multiply(identity,multiply(multiply(Y,Y),X)) <->
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X)) is composed into [280]
% multiply(identity,multiply(multiply(Y,Y),X))
% <->
% multiply(multiply(identity,multiply(Y,identity)),
% multiply(multiply(identity,Y),X))
% New rule produced :
% [501]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X)) ->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(identity,Y),X))
% Rule
% [281]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X)) <-> multiply(identity,multiply(multiply(Y,Y),X)) collapsed.
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [502]
% multiply(multiply(a,a),multiply(multiply(a,multiply(a,multiply(Y,X))),
% multiply(X,multiply(X,X)))) -> Y
% Current number of equations to process: 4810
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [503]
% multiply(multiply(Y,multiply(multiply(Y,identity),multiply(Y,multiply(X,identity)))),
% multiply(X,multiply(X,X))) -> multiply(Y,multiply(Y,Y))
% Current number of equations to process: 4818
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [504]
% multiply(identity,multiply(multiply(Y,Y),X)) <->
% multiply(multiply(identity,Y),multiply(multiply(Y,X),identity))
% Current number of equations to process: 2659
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [505]
% multiply(multiply(identity,Y),multiply(multiply(Y,X),identity)) <->
% multiply(identity,multiply(multiply(Y,Y),X))
% Rule
% [212]
% multiply(multiply(identity,multiply(Y,Y)),multiply(multiply(identity,Y),
% multiply(multiply(Y,multiply(Y,Y)),identity)))
% ->
% multiply(identity,multiply(Y,multiply(multiply(Y,a),multiply(identity,
% multiply(a,multiply(a,a))))))
% collapsed.
% Current number of equations to process: 2660
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [506]
% multiply(multiply(Y,X),multiply(multiply(identity,Z),multiply(multiply(Z,V_3),identity)))
% <->
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(Z,Z),multiply(V_3,identity))))
% Current number of equations to process: 2688
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [507]
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(Z,Z),multiply(V_3,identity))))
% <->
% multiply(multiply(Y,X),multiply(multiply(identity,Z),multiply(multiply(Z,V_3),identity)))
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [508]
% multiply(identity,multiply(identity,multiply(multiply(Y,Y),multiply(X,
% multiply(X,
% multiply(X,X))))))
% -> multiply(identity,multiply(identity,multiply(Y,Y)))
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [509]
% multiply(Y,multiply(X,multiply(multiply(X,X),multiply(multiply(X,a),multiply(a,a)))))
% -> multiply(Y,multiply(a,multiply(a,a)))
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [510]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X)) ->
% multiply(Y,multiply(multiply(Y,identity),X))
% Rule
% [61]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X)) <->
% multiply(Y,multiply(multiply(Y,identity),multiply(identity,multiply(multiply(identity,identity),
% multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))))
% collapsed.
% Rule
% [359]
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(X,identity))) ->
% multiply(Y,multiply(multiply(Y,identity),multiply(X,identity))) collapsed.
% Current number of equations to process: 2869
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [511]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y))) <->
% multiply(Y,multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))))
% Current number of equations to process: 2875
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [512]
% multiply(Y,multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))))
% <-> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [513]
% multiply(multiply(Y,Y),Y) <->
% multiply(multiply(Y,identity),multiply(Y,multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a))))))
% Current number of equations to process: 2901
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [514]
% multiply(multiply(Y,identity),multiply(Y,multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a))))))
% <-> multiply(multiply(Y,Y),Y)
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 221
% Rule [314]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,X),identity)),Z)))
% ->
% multiply(Y,multiply(identity,multiply(multiply(identity,multiply(identity,
% multiply(X,identity))),Z))) is composed into
% [314]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,X),identity)),Z)))
% -> multiply(Y,multiply(multiply(X,identity),multiply(identity,Z)))
% Rule [309]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(X,Z)) <->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))),Z)) is composed into
% [309]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(X,Z)) <->
% multiply(multiply(Y,multiply(multiply(X,a),multiply(identity,multiply(a,
% multiply(a,a))))),
% multiply(identity,Z))
% Rule [257]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,identity),X)),Z)))
% ->
% multiply(Y,multiply(identity,multiply(multiply(identity,multiply(identity,X)),Z))) is composed into
% [257]
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,multiply(multiply(Y,identity),X)),Z)))
% -> multiply(Y,multiply(X,multiply(identity,Z)))
% Rule [158]
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,multiply(multiply(V_3,Y),
% multiply(identity,X))),Z))
% ->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,X))),Z)) is composed into
% [158]
% multiply(multiply(V_3,V_3),multiply(multiply(V_3,multiply(multiply(V_3,Y),
% multiply(identity,X))),Z))
% -> multiply(multiply(Y,X),multiply(identity,Z))
% Rule [152]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,identity),Y)),X))
% ->
% multiply(identity,multiply(multiply(identity,multiply(identity,Y)),X)) is composed into
% [152]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,identity),Y)),X))
% -> multiply(Y,multiply(identity,X))
% Rule [119]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),identity)),X))
% ->
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,identity))),X)) is composed into
% [119]
% multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),identity)),X))
% -> multiply(multiply(Y,identity),multiply(identity,X))
% New rule produced :
% [515]
% multiply(identity,multiply(multiply(identity,multiply(identity,Y)),X)) ->
% multiply(Y,multiply(identity,X))
% Rule
% [10]
% multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,X))),
% multiply(X,multiply(X,X)))) -> Y collapsed.
% Current number of equations to process: 2925
% Current number of ordered equations: 0
% Current number of rules: 221
% Rule [513]
% multiply(multiply(Y,Y),Y) <->
% multiply(multiply(Y,identity),multiply(Y,multiply(multiply(Y,a),
% multiply(identity,multiply(a,
% multiply(a,a)))))) is composed into
% [513]
% multiply(multiply(Y,Y),Y) <-> multiply(multiply(Y,identity),multiply(Y,Y))
% Rule [511]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y))) <->
% multiply(Y,multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a))))) is composed into
% [511]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y))) ->
% multiply(Y,Y)
% Rule [463]
% multiply(multiply(Y,multiply(identity,multiply(X,multiply(Z,identity)))),
% multiply(Z,multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))) is composed into
% [463]
% multiply(multiply(Y,multiply(identity,multiply(X,multiply(Z,identity)))),
% multiply(Z,multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(identity,X))
% Rule [460]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(X,X)))
% <->
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(X,multiply(X,X))) is composed into [460]
% multiply(multiply(multiply(Y,X),identity),
% multiply(identity,multiply(X,X)))
% ->
% multiply(Y,multiply(X,
% multiply(X,X)))
% Rule [455]
% multiply(multiply(Y,identity),multiply(X,X)) <->
% multiply(multiply(Y,X),multiply(multiply(X,a),multiply(identity,
% multiply(a,multiply(a,a))))) is composed into
% [455]
% multiply(multiply(Y,identity),multiply(X,X)) <-> multiply(multiply(Y,X),X)
% Rule [448]
% multiply(multiply(Y,identity),identity) <->
% multiply(multiply(Y,X),multiply(identity,multiply(X,multiply(X,X)))) is composed into
% [448] multiply(multiply(Y,identity),identity) -> Y
% Rule [434]
% multiply(multiply(identity,multiply(Y,multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(identity,multiply(multiply(Y,identity),multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))) is composed into
% [434]
% multiply(multiply(identity,multiply(Y,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% -> multiply(identity,multiply(multiply(Y,identity),X))
% Rule [371]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,Z)) <->
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(multiply(X,identity),Z)) is composed into [371]
% multiply(multiply(
% multiply(Y,X),identity),
% multiply(identity,Z))
% ->
% multiply(Y,multiply(
% multiply(X,identity),Z))
% Rule [352]
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(Z,identity)))
% <->
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(multiply(X,Z),identity)) is composed into [352]
% multiply(multiply(
% multiply(Y,X),identity),
% multiply(identity,
% multiply(Z,identity)))
% <->
% multiply(Y,multiply(
% multiply(X,Z),identity))
% Rule [349]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(X,
% multiply(identity,
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))) is composed into
% [349]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(X,multiply(identity,Z))))
% Rule [346]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)) <->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,
% multiply(identity,
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))) is composed into
% [346]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,multiply(identity,Z)))))
% Rule [331]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))) is composed into
% [331]
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z))) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),X))
% Rule [327]
% multiply(multiply(identity,multiply(Y,X)),multiply(Z,Z)) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(
% multiply(identity,Z),
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))) is composed into
% [327]
% multiply(multiply(identity,multiply(Y,X)),multiply(Z,Z)) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,Z),Z))))
% Rule [323]
% multiply(multiply(Y,X),multiply(Z,multiply(identity,V_3))) <->
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,
% multiply(identity,
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))),V_3))) is composed into
% [323]
% multiply(multiply(Y,X),multiply(Z,multiply(identity,V_3))) <->
% multiply(multiply(Y,identity),multiply(X,multiply(multiply(identity,multiply(identity,Z)),V_3)))
% Rule [321]
% multiply(multiply(Y,X),multiply(multiply(identity,Z),V_3)) <->
% multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(identity,
% multiply(identity,
% multiply(multiply(V_3,a),
% multiply(identity,
% multiply(a,multiply(a,a))))))))) is composed into
% [321]
% multiply(multiply(Y,X),multiply(multiply(identity,Z),V_3)) <->
% multiply(multiply(Y,identity),multiply(X,multiply(Z,multiply(identity,
% multiply(identity,V_3)))))
% Rule [317]
% multiply(multiply(Y,multiply(identity,multiply(multiply(identity,X),Z))),
% multiply(Z,multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a))))))) is composed into
% [317]
% multiply(multiply(Y,multiply(identity,multiply(multiply(identity,X),Z))),
% multiply(Z,multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,X)))
% Rule [313]
% multiply(multiply(a,multiply(identity,multiply(multiply(Y,Y),X))),
% multiply(X,multiply(X,X))) ->
% multiply(a,multiply(multiply(identity,Y),multiply(multiply(Y,a),
% multiply(identity,multiply(a,
% multiply(a,a)))))) is composed into
% [313]
% multiply(multiply(a,multiply(identity,multiply(multiply(Y,Y),X))),multiply(X,
% multiply(X,X)))
% -> multiply(a,multiply(multiply(identity,Y),Y))
% Rule [311]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),
% multiply(X,multiply(identity,Z))) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))),Z))) is composed into
% [311]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,
% multiply(identity,Z)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,multiply(identity,X)),Z)))
% Rule [309]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(X,Z)) <->
% multiply(multiply(Y,multiply(multiply(X,a),multiply(identity,multiply(a,
% multiply(a,a))))),
% multiply(identity,Z)) is composed into [309]
% multiply(multiply(identity,
% multiply(identity,
% multiply(identity,
% multiply(Y,identity)))),
% multiply(X,Z)) <->
% multiply(multiply(Y,X),multiply(identity,Z))
% Rule [303]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),
% multiply(X,Z)) <->
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))),Z)) is composed into
% [303]
% multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(X,Z))
% <->
% multiply(identity,multiply(multiply(identity,multiply(Y,multiply(identity,X))),Z))
% Rule [291]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),Z) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),
% multiply(X,multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))))) is composed into
% [291]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),Z) <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(X,Z))))
% Rule [278]
% multiply(multiply(identity,multiply(Y,X)),Z) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))) is composed into
% [278]
% multiply(multiply(identity,multiply(Y,X)),Z) <->
% multiply(identity,multiply(multiply(Y,identity),multiply(X,multiply(identity,Z))))
% Rule [275]
% multiply(multiply(Y,X),Z) <->
% multiply(multiply(Y,identity),multiply(X,multiply(identity,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))) is composed into
% [275]
% multiply(multiply(Y,X),Z) <->
% multiply(multiply(Y,identity),multiply(X,multiply(identity,multiply(identity,Z))))
% Rule [273]
% multiply(multiply(multiply(Y,X),identity),multiply(multiply(identity,Z),V_3))
% <->
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(multiply(X,Z),V_3)) is composed into [273]
% multiply(multiply(
% multiply(Y,X),identity),
% multiply(multiply(identity,Z),V_3))
% <->
% multiply(Y,multiply(
% multiply(X,Z),V_3))
% Rule [263]
% multiply(multiply(Y,multiply(X,multiply(identity,Z))),multiply(Z,
% multiply(Z,Z))) ->
% multiply(multiply(Y,identity),multiply(multiply(X,a),multiply(identity,
% multiply(a,
% multiply(a,a))))) is composed into
% [263]
% multiply(multiply(Y,multiply(X,multiply(identity,Z))),multiply(Z,multiply(Z,Z)))
% -> multiply(multiply(Y,identity),X)
% Rule [262]
% multiply(multiply(Y,multiply(identity,multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(multiply(Y,identity),multiply(identity,multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))) is composed into
% [262]
% multiply(multiply(Y,multiply(identity,multiply(X,Z))),multiply(Z,multiply(Z,Z)))
% -> multiply(multiply(Y,identity),multiply(identity,X))
% Rule [240]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,multiply(identity,
% multiply(identity,Z))))
% <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))),Z)))) is composed into
% [240]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,multiply(identity,
% multiply(identity,Z))))
% <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,X),Z))))
% Rule [238]
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(identity,X)),Z))
% <->
% multiply(identity,multiply(identity,multiply(Y,multiply(X,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))) is composed into
% [238]
% multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(identity,
% multiply(identity,X)),Z))
% ->
% multiply(identity,multiply(identity,multiply(Y,multiply(X,multiply(identity,Z)))))
% Rule [230]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,
% multiply(X,multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))) is composed into
% [230]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% ->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(X,Z)))))
% Rule [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),multiply(multiply(Y,a),
% multiply(identity,
% multiply(a,multiply(a,a))))),
% multiply(multiply(multiply(multiply(Y,X),identity),Z),multiply(identity,
% multiply(identity,
% multiply(identity,identity))))) is composed into
% [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),Y),multiply(multiply(multiply(
% multiply(Y,X),identity),Z),
% multiply(identity,multiply(identity,
% multiply(identity,identity)))))
% Rule [195]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(identity,
% multiply(identity,
% multiply(multiply(Z,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))))) is composed into
% [195]
% multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),multiply(identity,multiply(identity,Z))))
% Rule [136]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,X)),Z))
% <->
% multiply(identity,multiply(Y,multiply(identity,multiply(X,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))) is composed into
% [136]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,X)),Z))
% ->
% multiply(identity,multiply(Y,multiply(identity,multiply(X,multiply(identity,Z)))))
% Rule [129]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,X)) <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,X),
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))))) is composed into
% [129]
% multiply(multiply(identity,multiply(identity,Y)),multiply(X,X)) <->
% multiply(identity,multiply(identity,multiply(Y,multiply(multiply(identity,X),X))))
% Rule [124]
% multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X)
% <->
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))))) is composed into
% [124]
% multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,X))))
% Rule [110]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,Z))) <->
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))),Z))) is composed into
% [110]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,Z))) <->
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,X)),Z)))
% Rule [106]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),Z)) <->
% multiply(identity,multiply(Y,multiply(X,multiply(identity,multiply(identity,
% multiply(
% multiply(Z,a),
% multiply(identity,
% multiply(a,
% multiply(a,a))))))))) is composed into
% [106]
% multiply(multiply(identity,Y),multiply(multiply(identity,X),Z)) ->
% multiply(identity,multiply(Y,multiply(X,multiply(identity,multiply(identity,Z)))))
% Rule [93]
% multiply(multiply(identity,multiply(identity,Y)),X) <->
% multiply(identity,multiply(identity,multiply(Y,multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))))) is composed into
% [93]
% multiply(multiply(identity,multiply(identity,Y)),X) ->
% multiply(identity,multiply(identity,multiply(Y,multiply(identity,X))))
% Rule [79]
% multiply(multiply(identity,Y),X) <->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,
% multiply(multiply(X,a),
% multiply(identity,
% multiply(a,multiply(a,a)))))))) is composed into
% [79]
% multiply(multiply(identity,Y),X) ->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,X))))
% Rule [27]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a)))))) is composed into
% [27]
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X)))
% -> multiply(identity,multiply(identity,Y))
% New rule produced :
% [516]
% multiply(multiply(Y,X),multiply(identity,multiply(X,multiply(X,X)))) -> Y
% Rule
% [438]
% multiply(identity,multiply(identity,multiply(multiply(Y,X),multiply(identity,
% multiply(X,
% multiply(X,X))))))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a))))))
% collapsed.
% Rule
% [439]
% multiply(identity,multiply(identity,multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a))))))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,X),multiply(identity,
% multiply(X,
% multiply(X,X))))))
% collapsed.
% Rule
% [447]
% multiply(multiply(Y,X),multiply(identity,multiply(X,multiply(X,X)))) <->
% multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a))))
% collapsed.
% Rule
% [451]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,X),
% multiply(identity,
% multiply(X,multiply(X,X)))))))
% -> Y collapsed.
% Rule
% [452]
% multiply(multiply(Y,multiply(identity,multiply(X,multiply(X,X)))),multiply(
% multiply(X,a),
% multiply(identity,
% multiply(a,
% multiply(a,a)))))
% -> multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a))))
% collapsed.
% Rule
% [453]
% multiply(multiply(Y,Y),multiply(multiply(Y,a),multiply(identity,multiply(a,
% multiply(a,a)))))
% -> multiply(Y,multiply(Y,Y)) collapsed.
% Rule
% [454]
% multiply(multiply(Y,X),multiply(multiply(X,a),multiply(identity,multiply(a,
% multiply(a,a)))))
% <-> multiply(multiply(Y,identity),multiply(X,X)) collapsed.
% Rule
% [458]
% multiply(multiply(a,a),multiply(a,multiply(multiply(multiply(a,Y),a),
% multiply(identity,multiply(a,multiply(a,a))))))
% -> Y collapsed.
% Rule
% [461]
% multiply(multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))),
% multiply(X,multiply(X,X))) <->
% multiply(multiply(multiply(Y,X),identity),multiply(identity,multiply(X,X)))
% collapsed.
% Rule
% [500]
% multiply(identity,multiply(multiply(identity,Y),multiply(multiply(Y,X),
% multiply(identity,multiply(X,
% multiply(X,X))))))
% -> multiply(identity,multiply(identity,multiply(Y,Y))) collapsed.
% Rule
% [512]
% multiply(Y,multiply(multiply(Y,a),multiply(identity,multiply(a,multiply(a,a)))))
% <-> multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y))) collapsed.
% Rule
% [514]
% multiply(multiply(Y,identity),multiply(Y,multiply(multiply(Y,a),multiply(identity,
% multiply(a,
% multiply(a,a))))))
% <-> multiply(multiply(Y,Y),Y) collapsed.
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 210
% Rule [425]
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),
% multiply(multiply(Z,identity),X))))
% <->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(identity,X)))) is composed into
% [425]
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),multiply(
% multiply(Z,identity),X))))
% <-> multiply(multiply(Y,identity),X)
% Rule [423]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(Y,Y)),
% multiply(multiply(identity,multiply(Y,identity)),X)))
% -> multiply(identity,multiply(identity,multiply(identity,X))) is composed into
% [423]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(Y,Y)),
% multiply(multiply(identity,multiply(Y,identity)),X)))
% -> X
% Rule [422]
% multiply(multiply(X,identity),multiply(multiply(X,X),multiply(multiply(
% multiply(X,identity),Y),identity)))
% ->
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))) is composed into
% [422]
% multiply(multiply(X,identity),multiply(multiply(X,X),multiply(multiply(
% multiply(X,identity),Y),identity)))
% -> multiply(Y,identity)
% Rule [418]
% multiply(a,multiply(multiply(Y,Y),X)) <->
% multiply(multiply(a,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X)) is composed into [418]
% multiply(a,multiply(multiply(Y,Y),X))
% <->
% multiply(multiply(a,multiply(Y,identity)),
% multiply(Y,X))
% Rule [411]
% multiply(a,multiply(multiply(a,a),multiply(a,Y))) ->
% multiply(identity,multiply(identity,multiply(identity,Y))) is composed into
% [411] multiply(a,multiply(multiply(a,a),multiply(a,Y))) -> Y
% Rule [408]
% multiply(multiply(Y,identity),multiply(multiply(Y,Y),X)) <->
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))),
% multiply(Y,X)) is composed into [408]
% multiply(multiply(Y,identity),multiply(
% multiply(Y,Y),X))
% <->
% multiply(multiply(Y,Y),multiply(Y,X))
% Rule [346]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,
% multiply(identity,Z))))) is composed into
% [346]
% multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),Z)) ->
% multiply(X,multiply(identity,Z))
% Rule [333]
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),
% multiply(multiply(Z,X),identity))))
% <->
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,
% multiply(identity,
% multiply(X,identity))))) is composed into
% [333]
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),multiply(
% multiply(Z,X),identity))))
% <-> multiply(multiply(Y,identity),multiply(X,identity))
% Rule [301]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),
% multiply(identity,X)))) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),X)))) is composed into
% [301]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),
% multiply(identity,X)))) ->
% multiply(multiply(Y,identity),X)
% Rule [295]
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y))) <->
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(Y,identity)) is composed into [295]
% multiply(multiply(Y,Y),multiply(
% multiply(Y,Y),
% multiply(Y,Y)))
% <->
% multiply(multiply(Y,identity),
% multiply(Y,identity))
% Rule [252]
% multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,Y),multiply(identity,X))))
% ->
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,X)))) is composed into
% [252]
% multiply(Z,multiply(multiply(Z,Z),multiply(multiply(Z,Y),multiply(identity,X))))
% -> multiply(Y,X)
% Rule [250]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,identity),Y))) ->
% multiply(identity,multiply(identity,multiply(identity,Y))) is composed into
% [250]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,identity),Y))) -> Y
% Rule [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),Y),multiply(multiply(
% multiply(
% multiply(Y,X),identity),Z),
% multiply(identity,
% multiply(identity,
% multiply(identity,identity))))) is composed into
% [211]
% multiply(identity,multiply(multiply(multiply(multiply(multiply(Y,Y),X),identity),Z),identity))
% ->
% multiply(multiply(multiply(identity,identity),Y),multiply(multiply(multiply(
% multiply(Y,X),identity),Z),identity))
% Rule [138]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,Z))))
% <->
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(
% multiply(X,a),identity))),
% multiply(multiply(identity,multiply(identity,
% multiply(identity,
% multiply(a,
% multiply(a,a))))),Z)))) is composed into
% [138]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,Z))))
% <->
% multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(multiply(X,a),identity))),
% multiply(multiply(a,multiply(a,a)),Z))))
% Rule [64]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(X,identity)))) is composed into
% [64]
% multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),identity))) ->
% multiply(X,identity)
% Rule [57]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),X))),
% multiply(X,multiply(X,X))) <->
% multiply(multiply(multiply(identity,identity),multiply(multiply(identity,
% multiply(Y,Z)),
% multiply(identity,
% multiply(identity,
% multiply(identity,identity))))),
% multiply(multiply(Z,multiply(Z,Z)),multiply(identity,multiply(identity,
% multiply(identity,identity))))) is composed into
% [57]
% multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),X))),
% multiply(X,multiply(X,X))) <->
% multiply(multiply(multiply(identity,identity),multiply(multiply(identity,
% multiply(Y,Z)),identity)),
% multiply(multiply(Z,multiply(Z,Z)),identity))
% New rule produced :
% [517] multiply(identity,multiply(identity,multiply(identity,Y))) -> Y
% Rule
% [124]
% multiply(multiply(identity,multiply(identity,multiply(identity,Y))),X) ->
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,X))))
% collapsed.
% Rule
% [170]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,Y)))),Y)
% -> multiply(identity,multiply(Y,Y)) collapsed.
% Rule
% [192]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))),Y)
% -> multiply(Y,multiply(Y,Y)) collapsed.
% Rule
% [221]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(a,X),Z),identity))))
% ->
% multiply(a,multiply(multiply(X,X),multiply(multiply(X,X),multiply(multiply(X,Z),identity))))
% collapsed.
% Rule
% [225]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),Z),identity))))
% ->
% multiply(Y,multiply(multiply(X,X),multiply(multiply(X,X),multiply(multiply(X,Z),identity))))
% collapsed.
% Rule
% [230]
% multiply(multiply(identity,Y),multiply(multiply(identity,multiply(identity,
% multiply(identity,X))),Z))
% ->
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(X,Z)))))
% collapsed.
% Rule
% [233]
% multiply(multiply(identity,Y),multiply(X,multiply(identity,multiply(identity,
% multiply(identity,Z)))))
% <->
% multiply(identity,multiply(Y,multiply(multiply(identity,identity),multiply(
% multiply(identity,
% multiply(
% multiply(X,a),identity)),
% multiply(
% multiply(identity,
% multiply(identity,
% multiply(a,
% multiply(a,a)))),Z)))))
% collapsed.
% Rule
% [247]
% multiply(multiply(a,multiply(identity,multiply(identity,multiply(identity,Y)))),Y)
% -> multiply(a,multiply(Y,Y)) collapsed.
% Rule
% [296]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(Y,identity)) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,Y))) collapsed.
% Rule
% [309]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,identity)))),
% multiply(X,Z)) <-> multiply(multiply(Y,X),multiply(identity,Z)) collapsed.
% Rule
% [316]
% multiply(X,multiply(multiply(X,X),multiply(multiply(X,multiply(identity,
% multiply(identity,
% multiply(identity,Y)))),Y)))
% -> multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y))))
% collapsed.
% Rule
% [332]
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,
% multiply(X,identity)))))
% <->
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),multiply(
% multiply(Z,X),identity))))
% collapsed.
% Rule
% [388]
% multiply(a,multiply(identity,multiply(identity,multiply(identity,multiply(
% multiply(Y,identity),
% multiply(X,identity))))))
% <->
% multiply(a,multiply(identity,multiply(identity,multiply(identity,multiply(
% multiply(Y,X),identity)))))
% collapsed.
% Rule
% [399]
% multiply(identity,multiply(identity,multiply(identity,multiply(a,Y)))) ->
% multiply(a,multiply(identity,multiply(identity,multiply(identity,Y))))
% collapsed.
% Rule
% [409]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))),
% multiply(Y,X)) <-> multiply(multiply(Y,identity),multiply(multiply(Y,Y),X))
% collapsed.
% Rule
% [419]
% multiply(multiply(a,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X)) <-> multiply(a,multiply(multiply(Y,Y),X)) collapsed.
% Rule
% [424]
% multiply(multiply(Y,identity),multiply(identity,multiply(identity,multiply(identity,X))))
% <->
% multiply(multiply(Y,Z),multiply(identity,multiply(multiply(Z,Z),multiply(
% multiply(Z,identity),X))))
% collapsed.
% Rule
% [428]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,identity),X),Z))))
% -> multiply(Y,multiply(a,multiply(multiply(a,a),multiply(multiply(a,X),Z))))
% collapsed.
% Rule
% [431]
% multiply(identity,multiply(Y,multiply(a,multiply(identity,multiply(identity,
% multiply(identity,
% multiply(multiply(a,a),a)))))))
% -> multiply(identity,multiply(Y,identity)) collapsed.
% Rule
% [435]
% multiply(multiply(Y,multiply(a,multiply(identity,multiply(identity,multiply(identity,
% multiply(
% multiply(a,a),a)))))),X)
% -> multiply(multiply(Y,identity),X) collapsed.
% Rule
% [441]
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(Y,
% multiply(Y,Y))))))
% -> identity collapsed.
% Rule
% [449]
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(Y,Y)))))
% -> multiply(Y,multiply(Y,Y)) collapsed.
% Rule
% [459]
% multiply(identity,multiply(identity,multiply(identity,multiply(multiply(
% multiply(Y,X),identity),
% multiply(identity,
% multiply(X,multiply(X,X)))))))
% -> multiply(Y,identity) collapsed.
% Rule
% [467]
% multiply(identity,multiply(multiply(Y,multiply(identity,multiply(identity,
% multiply(identity,X)))),X))
% -> multiply(identity,multiply(multiply(Y,identity),multiply(X,X))) collapsed.
% Rule
% [476]
% multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,Y))))) ->
% multiply(identity,multiply(Y,Y)) collapsed.
% Rule
% [485]
% multiply(a,multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))))
% -> multiply(a,multiply(Y,Y)) collapsed.
% Rule
% [496]
% multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(identity,
% multiply(X,
% multiply(X,
% multiply(X,X))))))))
% -> multiply(identity,multiply(identity,multiply(identity,Y))) collapsed.
% Rule
% [501]
% multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,
% multiply(Y,identity))))),
% multiply(Y,X)) ->
% multiply(multiply(identity,multiply(Y,identity)),multiply(multiply(identity,Y),X))
% collapsed.
% Current number of equations to process: 2947
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [518]
% multiply(identity,multiply(Y,multiply(identity,multiply(identity,Y)))) ->
% multiply(identity,multiply(Y,Y))
% Current number of equations to process: 2946
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [519] multiply(multiply(Y,Y),Y) -> multiply(Y,multiply(Y,Y))
% Rule [394] multiply(a,multiply(multiply(a,a),a)) -> identity collapsed.
% Rule
% [513]
% multiply(multiply(Y,Y),Y) <-> multiply(multiply(Y,identity),multiply(Y,Y))
% collapsed.
% Current number of equations to process: 2946
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [520] multiply(multiply(a,Y),Y) -> multiply(a,multiply(Y,Y))
% Current number of equations to process: 2945
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [521] multiply(a,multiply(a,multiply(a,a))) -> identity
% Rule
% [457]
% multiply(Y,multiply(a,multiply(a,multiply(a,a)))) -> multiply(Y,identity)
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 2944
% Current number of ordered equations: 0
% Current number of rules: 184
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 41 rules have been used:
% [1]
% multiply(identity,identity) -> identity; trace = in the starting set
% [2] multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),
% multiply(Z,multiply(Z,Z)))) -> X; trace = in the starting set
% [3] multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),identity)),identity))
% -> identity; trace = Cp of 2 and 1
% [4] multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,identity))),identity))
% -> X; trace = Cp of 2 and 1
% [5] multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,identity))),identity))
% -> Y; trace = Cp of 4 and 1
% [6] multiply(identity,multiply(multiply(identity,Y),identity)) ->
% multiply(identity,multiply(identity,multiply(Y,identity))); trace = Self cp of 5
% [7] multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))))
% -> Y; trace = Cp of 4 and 1
% [8] multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),identity),identity)))
% -> Y; trace = Self cp of 6
% [9] multiply(identity,multiply(multiply(multiply(identity,Y),identity),identity))
% ->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))); trace = Self cp of 8
% [10] multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,X))),
% multiply(X,multiply(X,X)))) -> Y; trace = Cp of 2 and 1
% [11] multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,Y),identity),identity),identity)))
% -> multiply(Y,identity); trace = Cp of 9 and 6
% [12] multiply(multiply(identity,Y),identity) ->
% multiply(identity,multiply(Y,identity)); trace = Cp of 11 and 7
% [17] multiply(Y,multiply(multiply(Y,X),identity)) <->
% multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(X,identity))); trace = Self cp of 4
% [18] multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(X,identity))) <->
% multiply(Y,multiply(multiply(Y,X),identity)); trace = Self cp of 4
% [19] multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),identity)),identity))
% -> X; trace = Cp of 18 and 4
% [20] multiply(multiply(Y,multiply(multiply(Y,Y),identity)),identity) ->
% multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)); trace = Cp of 19 and 3
% [22] multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)))
% -> Y; trace = Cp of 20 and 19
% [26] multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))
% <->
% multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X))); trace = Cp of 19 and 10
% [27] multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,
% multiply(X,X)))
% <->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))); trace = Cp of 19 and 10
% [28] multiply(multiply(identity,multiply(identity,multiply(multiply(identity,Y),X))),
% multiply(X,multiply(X,X))) -> Y; trace = Cp of 26 and 12
% [39] multiply(multiply(Y,Y),multiply(multiply(Y,multiply(X,identity)),identity))
% <->
% multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z))); trace = Cp of 19 and 2
% [40] multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,
% multiply(Z,Z)))
% <->
% multiply(multiply(Y,Y),multiply(multiply(Y,multiply(X,identity)),identity)); trace = Cp of 19 and 2
% [41] multiply(multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),Z))),
% multiply(Z,multiply(Z,Z))) -> Y; trace = Cp of 39 and 17
% [49] multiply(multiply(Y,Y),multiply(multiply(multiply(Y,identity),identity),
% multiply(multiply(multiply(Y,identity),identity),
% multiply(multiply(Y,identity),identity)))) -> Y; trace = Cp of 40 and 22
% [50] multiply(multiply(multiply(Y,identity),identity),multiply(multiply(
% multiply(Y,identity),identity),
% multiply(multiply(Y,identity),identity)))
% -> multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)); trace = Cp of 49 and 41
% [69] multiply(multiply(identity,Y),multiply(multiply(X,multiply(X,X)),
% multiply(multiply(X,multiply(X,X)),
% multiply(X,multiply(X,X))))) ->
% multiply(identity,multiply(Y,X)); trace = Cp of 28 and 10
% [70] multiply(identity,multiply(multiply(identity,multiply(Y,multiply(X,
% multiply(X,X)))),X))
% ->
% multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))); trace = Cp of 69 and 27
% [71] multiply(identity,multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,
% multiply(Y,Y)),
% multiply(Y,
% multiply(Y,Y)))))
% -> multiply(identity,multiply(identity,Y)); trace = Cp of 69 and 1
% [72] multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X) ->
% multiply(identity,multiply(multiply(Y,identity),identity)); trace = Cp of 70 and 28
% [73] multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,multiply(Y,Y)),
% multiply(Y,multiply(Y,Y)))) ->
% multiply(identity,Y); trace = Cp of 71 and 28
% [74] multiply(multiply(identity,Y),multiply(identity,X)) ->
% multiply(identity,multiply(Y,X)); trace = Cp of 28 and 10
% [80] multiply(multiply(identity,multiply(Y,multiply(identity,X))),multiply(X,
% multiply(X,X)))
% -> multiply(identity,multiply(multiply(Y,identity),identity)); trace = Cp of 73 and 72
% [83] multiply(identity,multiply(Y,multiply(multiply(identity,multiply(identity,
% multiply(X,Z))),
% multiply(Z,multiply(Z,Z))))) <->
% multiply(multiply(identity,Y),X); trace = Cp of 74 and 10
% [84] multiply(identity,multiply(multiply(multiply(identity,multiply(identity,
% multiply(Y,Z))),
% multiply(Z,multiply(Z,Z))),X)) ->
% multiply(Y,multiply(identity,X)); trace = Cp of 74 and 10
% [97] multiply(identity,multiply(multiply(Y,multiply(identity,multiply(X,
% multiply(X,X)))),X))
% -> multiply(identity,multiply(multiply(Y,identity),identity)); trace = Cp of 80 and 73
% [114] multiply(identity,multiply(Y,multiply(identity,multiply(multiply(identity,X),Z))))
% <->
% multiply(multiply(identity,Y),multiply(V_3,multiply(multiply(V_3,V_3),
% multiply(multiply(V_3,X),Z)))); trace = Cp of 83 and 41
% [127] multiply(multiply(Y,multiply(identity,multiply(X,multiply(X,X)))),X) ->
% multiply(multiply(Y,identity),identity); trace = Cp of 97 and 28
% [147] multiply(Y,multiply(identity,multiply(identity,multiply(multiply(identity,X),Z))))
% <->
% multiply(Y,multiply(V_3,multiply(multiply(V_3,V_3),multiply(multiply(V_3,X),Z)))); trace = Cp of 114 and 84
% [177] multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))) <->
% multiply(a,multiply(multiply(a,a),multiply(multiply(a,X),Z))); trace = Cp of 147 and 41
% [234] multiply(multiply(Y,multiply(identity,multiply(multiply(X,X),multiply(
% multiply(X,identity),identity)))),
% multiply(multiply(X,identity),identity)) ->
% multiply(multiply(Y,identity),identity); trace = Cp of 127 and 50
% [521] multiply(a,multiply(a,multiply(a,a))) -> identity; trace = Cp of 234 and 177
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 85.430000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------