%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP201-1 : TPTP v6.0.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n164.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 00:22:38 EDT 2014

% Result   : Timeout 300.06s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP201-1 : TPTP v6.0.0. Released v2.2.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n164.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 07:30:48 CDT 2014
% % CPUTime  : 300.06 
% Processing problem /tmp/CiME_35902_n164.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a,identity : constant;  left_inverse : 1;  right_inverse : 1;  right_division : 2;  left_division : 2;  multiply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% multiply(identity,X) = X;
% multiply(X,identity) = X;
% multiply(X,left_division(X,Y)) = Y;
% left_division(X,multiply(X,Y)) = Y;
% multiply(right_division(X,Y),Y) = X;
% right_division(multiply(X,Y),Y) = X;
% multiply(X,right_inverse(X)) = identity;
% multiply(left_inverse(X),X) = identity;
% multiply(multiply(multiply(X,Y),Z),Y) = multiply(X,multiply(Y,multiply(Z,Y)));
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% left_inverse lr_lex;
% right_inverse lr_lex;
% right_division lr_lex;
% left_division lr_lex;
% multiply lr_lex;
% identity lr_lex;
% ";
% 
% let p1 = precedence F "
% right_inverse > left_inverse > multiply > left_division > right_division > identity > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% left_inverse mul;
% right_inverse mul;
% right_division mul;
% left_division mul;
% multiply mul;
% identity mul;
% ";
% 
% let p2 = precedence F "
% right_inverse > left_inverse > multiply > left_division > right_division > identity = a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(multiply(multiply(a,b),a),c) = multiply(a,multiply(b,multiply(a,c)));"
% ;
% (*
% 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(identity,X) = X,
% multiply(X,identity) = X,
% multiply(X,left_division(X,Y)) = Y,
% left_division(X,multiply(X,Y)) = Y,
% multiply(right_division(X,Y),Y) = X,
% right_division(multiply(X,Y),Y) = X,
% multiply(X,right_inverse(X)) = identity,
% multiply(left_inverse(X),X) = identity,
% multiply(multiply(multiply(X,Y),Z),Y) =
% multiply(X,multiply(Y,multiply(Z,Y))) }
% (9 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(multiply(multiply(a,b),a),c) =
% multiply(a,multiply(b,multiply(a,c))) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] multiply(X,identity) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 1
% New rule produced : [2] multiply(identity,X) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 2
% New rule produced : [3] multiply(X,right_inverse(X)) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 3
% New rule produced : [4] multiply(left_inverse(X),X) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 4
% New rule produced : [5] right_division(multiply(X,Y),Y) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 5
% New rule produced : [6] left_division(X,multiply(X,Y)) -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 6
% New rule produced : [7] multiply(X,left_division(X,Y)) -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 7
% New rule produced : [8] multiply(right_division(X,Y),Y) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [9]
% multiply(multiply(multiply(X,Y),Z),Y) ->
% multiply(X,multiply(Y,multiply(Z,Y)))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] right_inverse(identity) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] left_inverse(identity) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] right_division(X,identity) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] right_division(X,X) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] right_division(identity,right_inverse(X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] left_inverse(X) -> right_division(identity,X)
% Rule [4] multiply(left_inverse(X),X) -> identity collapsed.
% Rule [11] left_inverse(identity) -> identity collapsed.
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [16] left_division(X,X) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [17] left_division(identity,X) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [18] right_inverse(X) -> left_division(X,identity)
% Rule [3] multiply(X,right_inverse(X)) -> identity collapsed.
% Rule [10] right_inverse(identity) -> identity collapsed.
% Rule [14] right_division(identity,right_inverse(X)) -> X collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [19] right_division(identity,left_division(X,identity)) -> X
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [20] right_division(X,left_division(Y,X)) -> Y
% Rule [19] right_division(identity,left_division(X,identity)) -> X collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [21] left_division(right_division(X,Y),X) -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [22] multiply(multiply(X,Y),Y) -> multiply(X,multiply(Y,Y))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [23] multiply(multiply(X,Y),X) -> multiply(X,multiply(Y,X))
% The conjecture has been reduced. 
% Conjecture is now:
% multiply(multiply(a,multiply(b,a)),c) = multiply(a,multiply(b,multiply(a,c)))
% 
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [24] right_division(multiply(X,multiply(Y,Y)),Y) -> multiply(X,Y)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [25] multiply(right_division(X,Y),multiply(Y,Y)) -> multiply(X,Y)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [26] right_division(multiply(X,multiply(Y,X)),X) -> multiply(X,Y)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [27] multiply(Y,multiply(left_division(Y,X),Y)) -> multiply(X,Y)
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [28] multiply(right_division(X,multiply(Y,Y)),Y) -> right_division(X,Y)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [29] right_division(multiply(X,Y),multiply(Y,Y)) -> right_division(X,Y)
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [30] left_division(right_division(X,Y),multiply(X,Y)) <-> multiply(Y,Y)
% Current number of equations to process: 30
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [31] multiply(Y,Y) <-> left_division(right_division(X,Y),multiply(X,Y))
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [32] multiply(X,right_division(Y,X)) -> right_division(multiply(X,Y),X)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [33] multiply(left_division(X,Y),X) -> left_division(X,multiply(Y,X))
% Rule [27] multiply(Y,multiply(left_division(Y,X),Y)) -> multiply(X,Y)
% collapsed.
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [34]
% right_division(X,multiply(Y,Y)) <-> right_division(right_division(X,Y),Y)
% Current number of equations to process: 43
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [35]
% right_division(right_division(X,Y),Y) <-> right_division(X,multiply(Y,Y))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 28
% Rule [35]
% right_division(right_division(X,Y),Y) <->
% right_division(X,multiply(Y,Y)) is composed into [35]
% right_division(
% right_division(X,Y),Y)
% <->
% right_division(X,
% left_division(right_division(identity,Y),Y))
% Rule [30] left_division(right_division(X,Y),multiply(X,Y)) <-> multiply(Y,Y) is composed into 
% [30]
% left_division(right_division(X,Y),multiply(X,Y)) ->
% left_division(right_division(identity,Y),Y)
% Rule [22] multiply(multiply(X,Y),Y) -> multiply(X,multiply(Y,Y)) is composed into 
% [22]
% multiply(multiply(X,Y),Y) ->
% multiply(X,left_division(right_division(identity,Y),Y))
% New rule produced :
% [36] multiply(X,X) -> left_division(right_division(identity,X),X)
% Rule [24] right_division(multiply(X,multiply(Y,Y)),Y) -> multiply(X,Y)
% collapsed.
% Rule [25] multiply(right_division(X,Y),multiply(Y,Y)) -> multiply(X,Y)
% collapsed.
% Rule [28] multiply(right_division(X,multiply(Y,Y)),Y) -> right_division(X,Y)
% collapsed.
% Rule [29] right_division(multiply(X,Y),multiply(Y,Y)) -> right_division(X,Y)
% collapsed.
% Rule [31] multiply(Y,Y) <-> left_division(right_division(X,Y),multiply(X,Y))
% collapsed.
% Rule
% [34]
% right_division(X,multiply(Y,Y)) <-> right_division(right_division(X,Y),Y)
% collapsed.
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [37] right_division(left_division(right_division(identity,X),X),X) -> X
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [38] left_division(X,right_division(multiply(X,Y),X)) -> right_division(Y,X)
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [39] left_division(X,left_division(right_division(identity,X),X)) -> X
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [40] right_division(left_division(X,multiply(Y,X)),X) -> left_division(X,Y)
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [41]
% left_division(multiply(X,Y),multiply(X,left_division(right_division(identity,Y),Y)))
% -> Y
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 28
% Rule [18] right_inverse(X) -> left_division(X,identity) is composed into 
% [18] right_inverse(X) -> right_division(identity,X)
% New rule produced :
% [42] left_division(X,identity) -> right_division(identity,X)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [43]
% left_division(X,right_division(Y,X)) -> right_division(left_division(X,Y),X)
% Rule
% [38] left_division(X,right_division(multiply(X,Y),X)) -> right_division(Y,X)
% collapsed.
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [44] left_division(multiply(X,Y),multiply(X,multiply(Y,X))) -> X
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [45]
% left_division(right_division(X,left_division(right_division(identity,Y),Y)),
% right_division(X,Y)) -> Y
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [46]
% left_division(right_division(right_division(X,Y),Y),X) ->
% left_division(right_division(identity,Y),Y)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [47] right_division(right_division(multiply(X,Y),X),right_division(Y,X)) -> X
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [48] left_division(left_division(X,Y),left_division(X,multiply(Y,X))) -> X
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [49] right_division(identity,right_division(identity,X)) -> X
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [50]
% right_division(right_division(X,Y),right_division(left_division(Y,X),Y)) -> Y
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 36
% Rule [46]
% left_division(right_division(right_division(X,Y),Y),X) ->
% left_division(right_division(identity,Y),Y) is composed into [46]
% left_division(
% right_division(
% right_division(X,Y),Y),X)
% ->
% right_division(identity,
% right_division(
% right_division(identity,Y),Y))
% Rule [36] multiply(X,X) -> left_division(right_division(identity,X),X) is composed into 
% [36]
% multiply(X,X) ->
% right_division(identity,right_division(right_division(identity,X),X))
% Rule [35]
% right_division(right_division(X,Y),Y) <->
% right_division(X,left_division(right_division(identity,Y),Y)) is composed into 
% [35]
% right_division(right_division(X,Y),Y) <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),Y)))
% Rule [30]
% left_division(right_division(X,Y),multiply(X,Y)) ->
% left_division(right_division(identity,Y),Y) is composed into [30]
% left_division(
% right_division(X,Y),
% multiply(X,Y))
% ->
% right_division(identity,
% right_division(
% right_division(identity,Y),Y))
% Rule [22]
% multiply(multiply(X,Y),Y) ->
% multiply(X,left_division(right_division(identity,Y),Y)) is composed into 
% [22]
% multiply(multiply(X,Y),Y) ->
% multiply(X,right_division(identity,right_division(right_division(identity,Y),Y)))
% New rule produced :
% [51]
% left_division(right_division(identity,X),X) ->
% right_division(identity,right_division(right_division(identity,X),X))
% Rule [37] right_division(left_division(right_division(identity,X),X),X) -> X
% collapsed.
% Rule [39] left_division(X,left_division(right_division(identity,X),X)) -> X
% collapsed.
% Rule
% [41]
% left_division(multiply(X,Y),multiply(X,left_division(right_division(identity,Y),Y)))
% -> Y collapsed.
% Rule
% [45]
% left_division(right_division(X,left_division(right_division(identity,Y),Y)),
% right_division(X,Y)) -> Y collapsed.
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [52]
% right_division(right_division(identity,right_division(right_division(identity,X),X)),X)
% -> X
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [53]
% left_division(X,right_division(identity,right_division(right_division(identity,X),X)))
% -> X
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 35
% Rule [51]
% left_division(right_division(identity,X),X) ->
% right_division(identity,right_division(right_division(identity,X),X)) is composed into 
% [51]
% left_division(right_division(identity,X),X) ->
% right_division(X,right_division(identity,X))
% Rule [46]
% left_division(right_division(right_division(X,Y),Y),X) ->
% right_division(identity,right_division(right_division(identity,Y),Y)) is composed into 
% [46]
% left_division(right_division(right_division(X,Y),Y),X) ->
% right_division(Y,right_division(identity,Y))
% Rule [36]
% multiply(X,X) ->
% right_division(identity,right_division(right_division(identity,X),X)) is composed into 
% [36] multiply(X,X) -> right_division(X,right_division(identity,X))
% Rule [35]
% right_division(right_division(X,Y),Y) <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),Y))) is composed into 
% [35]
% right_division(right_division(X,Y),Y) ->
% right_division(X,right_division(Y,right_division(identity,Y)))
% Rule [30]
% left_division(right_division(X,Y),multiply(X,Y)) ->
% right_division(identity,right_division(right_division(identity,Y),Y)) is composed into 
% [30]
% left_division(right_division(X,Y),multiply(X,Y)) ->
% right_division(Y,right_division(identity,Y))
% Rule [22]
% multiply(multiply(X,Y),Y) ->
% multiply(X,right_division(identity,right_division(right_division(identity,Y),Y))) is composed into 
% [22]
% multiply(multiply(X,Y),Y) ->
% multiply(X,right_division(Y,right_division(identity,Y)))
% New rule produced :
% [54]
% right_division(identity,right_division(right_division(identity,X),X)) ->
% right_division(X,right_division(identity,X))
% Rule
% [52]
% right_division(right_division(identity,right_division(right_division(identity,X),X)),X)
% -> X collapsed.
% Rule
% [53]
% left_division(X,right_division(identity,right_division(right_division(identity,X),X)))
% -> X collapsed.
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [55] right_division(right_division(X,right_division(identity,X)),X) -> X
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [56] left_division(X,right_division(X,right_division(identity,X))) -> X
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [57]
% right_division(X,right_division(X,right_division(identity,X))) ->
% right_division(identity,X)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [58]
% multiply(multiply(X,right_division(Y,right_division(identity,Y))),Y) ->
% multiply(multiply(X,Y),right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 38
% Rule [58]
% multiply(multiply(X,right_division(Y,right_division(identity,Y))),Y) ->
% multiply(multiply(X,Y),right_division(Y,right_division(identity,Y))) is composed into 
% [58]
% multiply(multiply(X,right_division(Y,right_division(identity,Y))),Y) ->
% multiply(X,multiply(Y,right_division(Y,right_division(identity,Y))))
% New rule produced :
% [59]
% multiply(multiply(X,Y),right_division(Y,right_division(identity,Y))) ->
% multiply(X,multiply(Y,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [60]
% right_division(multiply(X,right_division(Y,right_division(identity,Y))),Y) ->
% multiply(X,Y)
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [61]
% multiply(right_division(X,Y),right_division(Y,right_division(identity,Y))) ->
% multiply(X,Y)
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [62]
% multiply(multiply(X,multiply(Y,X)),Y) ->
% multiply(X,multiply(Y,multiply(X,Y)))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [63]
% multiply(multiply(X,Y),right_division(X,right_division(identity,X))) ->
% multiply(X,multiply(Y,right_division(X,right_division(identity,X))))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [64]
% multiply(right_division(X,right_division(Y,right_division(identity,Y))),Y) ->
% right_division(X,Y)
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [65]
% right_division(multiply(X,Y),right_division(Y,right_division(identity,Y))) ->
% right_division(X,Y)
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [66]
% multiply(X,right_division(Y,right_division(X,right_division(identity,X)))) ->
% right_division(multiply(X,Y),right_division(X,right_division(identity,X)))
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [67]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),Y)
% ->
% right_division(right_division(X,Y),right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [68]
% multiply(right_division(X,right_division(identity,X)),X) ->
% multiply(X,right_division(X,right_division(identity,X)))
% Current number of equations to process: 389
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [69]
% right_division(right_division(identity,right_division(X,right_division(identity,X))),
% right_division(identity,X)) -> right_division(identity,X)
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [70]
% multiply(multiply(X,Y),left_division(Y,X)) ->
% multiply(Y,multiply(left_division(Y,X),X))
% Current number of equations to process: 396
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [71]
% multiply(multiply(left_division(X,Y),Y),X) ->
% multiply(left_division(X,Y),multiply(Y,X))
% Current number of equations to process: 431
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [72]
% multiply(multiply(X,right_division(X,Y)),Y) ->
% multiply(right_division(X,Y),multiply(Y,X))
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [73]
% multiply(multiply(X,Y),right_division(Y,X)) ->
% multiply(X,multiply(Y,right_division(Y,X)))
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [74]
% right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y) <->
% multiply(multiply(X,Y),Z)
% Current number of equations to process: 526
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [75]
% multiply(multiply(X,Y),Z) <->
% right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y)
% Rule
% [9]
% multiply(multiply(multiply(X,Y),Z),Y) ->
% multiply(X,multiply(Y,multiply(Z,Y))) collapsed.
% Rule
% [22]
% multiply(multiply(X,Y),Y) ->
% multiply(X,right_division(Y,right_division(identity,Y))) collapsed.
% Rule [23] multiply(multiply(X,Y),X) -> multiply(X,multiply(Y,X)) collapsed.
% Rule
% [58]
% multiply(multiply(X,right_division(Y,right_division(identity,Y))),Y) ->
% multiply(X,multiply(Y,right_division(Y,right_division(identity,Y))))
% collapsed.
% Rule
% [59]
% multiply(multiply(X,Y),right_division(Y,right_division(identity,Y))) ->
% multiply(X,multiply(Y,right_division(Y,right_division(identity,Y))))
% collapsed.
% Rule
% [62]
% multiply(multiply(X,multiply(Y,X)),Y) ->
% multiply(X,multiply(Y,multiply(X,Y))) collapsed.
% Rule
% [63]
% multiply(multiply(X,Y),right_division(X,right_division(identity,X))) ->
% multiply(X,multiply(Y,right_division(X,right_division(identity,X))))
% collapsed.
% Rule
% [70]
% multiply(multiply(X,Y),left_division(Y,X)) ->
% multiply(Y,multiply(left_division(Y,X),X)) collapsed.
% Rule
% [71]
% multiply(multiply(left_division(X,Y),Y),X) ->
% multiply(left_division(X,Y),multiply(Y,X)) collapsed.
% Rule
% [72]
% multiply(multiply(X,right_division(X,Y)),Y) ->
% multiply(right_division(X,Y),multiply(Y,X)) collapsed.
% Rule
% [73]
% multiply(multiply(X,Y),right_division(Y,X)) ->
% multiply(X,multiply(Y,right_division(Y,X))) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% right_division(multiply(a,multiply(multiply(b,a),multiply(c,multiply(b,a)))),
% multiply(b,a)) = multiply(a,multiply(b,multiply(a,c)))
% 
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [76]
% right_division(multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))),Z) ->
% multiply(X,multiply(Y,multiply(Z,Y)))
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [77]
% multiply(multiply(X,Z),left_division(Z,Y)) <->
% right_division(multiply(X,multiply(Y,Z)),Z)
% Current number of equations to process: 545
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [78]
% right_division(multiply(X,multiply(Y,Z)),Z) <->
% multiply(multiply(X,Z),left_division(Z,Y))
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [79]
% multiply(multiply(X,Y),right_division(Z,Y)) ->
% right_division(multiply(X,multiply(Y,Z)),Y)
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [80]
% right_division(multiply(X,multiply(Y,multiply(X,Y))),Y) ->
% multiply(X,multiply(Y,X))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [81]
% multiply(multiply(X,Y),Z) <->
% multiply(right_division(X,Z),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 575
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [82]
% multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))) <->
% multiply(multiply(X,Y),Z)
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [83]
% multiply(X,left_division(Y,X)) <->
% multiply(Y,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X))))
% Current number of equations to process: 574
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [84]
% multiply(Y,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X)))) <->
% multiply(X,left_division(Y,X))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [85]
% multiply(right_division(X,Y),right_division(multiply(Y,X),Y)) ->
% multiply(X,right_division(X,Y))
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [86]
% right_division(multiply(left_division(X,Y),Y),left_division(X,Y)) ->
% left_division(X,multiply(Y,X))
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [87]
% right_division(multiply(X,multiply(Y,right_division(X,right_division(identity,X)))),X)
% -> multiply(X,multiply(Y,X))
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [88]
% right_division(multiply(X,multiply(X,multiply(Y,X))),X) ->
% multiply(X,multiply(X,Y))
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [89]
% right_division(X,left_division(Y,multiply(X,left_division(Y,X)))) ->
% right_division(Y,left_division(Y,X))
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [90]
% right_division(multiply(X,multiply(Y,X)),right_division(X,right_division(identity,X)))
% -> right_division(multiply(X,Y),X)
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [91]
% right_division(multiply(X,Y),X) <->
% left_division(right_division(Y,X),multiply(Y,right_division(Y,X)))
% Rule
% [86]
% right_division(multiply(left_division(X,Y),Y),left_division(X,Y)) ->
% left_division(X,multiply(Y,X)) collapsed.
% Current number of equations to process: 563
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [92]
% left_division(right_division(Y,X),multiply(Y,right_division(Y,X))) <->
% right_division(multiply(X,Y),X)
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [93]
% multiply(left_division(X,multiply(Y,X)),left_division(X,Y)) ->
% multiply(left_division(X,Y),Y)
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [94]
% left_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(X,Y)) -> Y
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [95]
% right_division(left_division(X,left_division(X,multiply(Y,X))),X) ->
% left_division(X,left_division(X,Y))
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [96]
% left_division(left_division(X,Y),X) <->
% right_division(left_division(left_division(X,Y),Y),left_division(X,Y))
% Current number of equations to process: 554
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [97]
% right_division(left_division(left_division(X,Y),Y),left_division(X,Y)) <->
% left_division(left_division(X,Y),X)
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [98]
% right_division(right_division(identity,X),right_division(identity,right_division(X,
% right_division(identity,X))))
% -> X
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [99]
% left_division(multiply(X,Y),multiply(X,right_division(Y,right_division(identity,Y))))
% -> Y
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [100]
% multiply(X,multiply(right_division(left_division(X,Y),X),multiply(X,multiply(Y,X))))
% -> multiply(Y,multiply(Y,X))
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [101]
% right_division(multiply(left_division(X,Y),multiply(Y,X)),X) ->
% multiply(left_division(X,Y),Y)
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [102]
% right_division(multiply(right_division(X,Y),multiply(Y,X)),Y) ->
% multiply(X,right_division(X,Y))
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [103]
% right_division(multiply(X,multiply(Y,right_division(Y,right_division(identity,Y)))),Y)
% -> multiply(X,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [104]
% multiply(Z,multiply(Y,multiply(left_division(multiply(Z,Y),X),Y))) ->
% multiply(X,Y)
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [105]
% left_division(right_division(X,left_division(X,Y)),Y) ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [106]
% left_division(X,multiply(Y,left_division(X,Y))) ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% Rule
% [89]
% right_division(X,left_division(Y,multiply(X,left_division(Y,X)))) ->
% right_division(Y,left_division(Y,X)) collapsed.
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [107]
% left_division(X,right_division(Y,right_division(X,right_division(identity,X))))
% ->
% right_division(left_division(X,Y),right_division(X,right_division(identity,X)))
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [108]
% left_division(left_division(X,multiply(Y,X)),multiply(left_division(X,Y),Y))
% -> left_division(X,Y)
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [109]
% right_division(right_division(X,right_division(X,Y)),right_division(Y,
% right_division(X,Y))) ->
% right_division(X,Y)
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [110]
% left_division(left_division(left_division(X,Y),X),left_division(left_division(X,Y),Y))
% -> left_division(X,Y)
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [111]
% left_division(X,left_division(right_division(Y,X),multiply(Y,right_division(Y,X))))
% -> right_division(Y,X)
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [112]
% right_division(X,right_division(left_division(left_division(X,Y),Y),left_division(X,Y)))
% -> left_division(X,Y)
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [113]
% left_division(right_division(identity,X),right_division(identity,right_division(X,
% right_division(identity,X))))
% -> right_division(identity,X)
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [114]
% right_division(multiply(X,multiply(left_division(X,Y),Y)),left_division(X,Y))
% -> multiply(Y,X)
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [115]
% left_division(multiply(X,Y),multiply(Y,multiply(left_division(Y,X),X))) ->
% left_division(Y,X)
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [116]
% right_division(multiply(X,multiply(Y,right_division(Y,X))),right_division(Y,X))
% -> multiply(X,Y)
% Current number of equations to process: 517
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [117]
% left_division(multiply(X,Y),multiply(X,multiply(Y,right_division(Y,X)))) ->
% right_division(Y,X)
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [118]
% right_division(multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))),Z) ->
% multiply(X,Y)
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [119]
% multiply(right_division(X,right_division(identity,X)),Y) ->
% multiply(X,multiply(X,Y))
% Rule
% [68]
% multiply(right_division(X,right_division(identity,X)),X) ->
% multiply(X,right_division(X,right_division(identity,X))) collapsed.
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [120]
% right_division(right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y),Z) ->
% multiply(X,Y)
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [121]
% left_division(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,multiply(Z,Y))))
% -> Y
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [122]
% multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))) <->
% multiply(right_division(X,Z),multiply(Z,multiply(right_division(Y,Z),
% multiply(Z,multiply(Z,multiply(Y,Z))))))
% Current number of equations to process: 511
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [123]
% multiply(right_division(X,Z),multiply(Z,multiply(right_division(Y,Z),
% multiply(Z,multiply(Z,multiply(Y,Z))))))
% <-> multiply(multiply(X,Y),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [124]
% multiply(right_division(X,Y),multiply(Y,multiply(Y,multiply(right_division(Z,Y),
% multiply(Y,right_division(Y,
% right_division(identity,Y)))))))
% ->
% multiply(right_division(X,Y),multiply(Y,multiply(Y,multiply(Z,right_division(Y,
% right_division(identity,Y))))))
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [125]
% multiply(right_division(X,multiply(X,Y)),multiply(multiply(X,Y),multiply(
% multiply(Y,X),
% multiply(X,Y))))
% -> multiply(multiply(X,Y),multiply(X,multiply(X,Y)))
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [126]
% multiply(right_division(X,multiply(X,Y)),multiply(multiply(X,Y),multiply(Y,
% multiply(Y,
% multiply(X,Y)))))
% -> multiply(multiply(X,Y),multiply(Y,multiply(X,Y)))
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [127]
% right_division(X,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X)))) ->
% right_division(Y,left_division(Y,X))
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [128]
% left_division(right_division(multiply(X,Y),X),multiply(X,multiply(Y,X))) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 502
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [129]
% multiply(left_division(X,Y),right_division(X,right_division(identity,X))) ->
% left_division(X,multiply(Y,right_division(X,right_division(identity,X))))
% Current number of equations to process: 499
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [130]
% left_division(right_division(left_division(X,Y),X),left_division(X,multiply(Y,X)))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [131]
% right_division(left_division(X,multiply(Y,right_division(X,right_division(identity,X)))),X)
% -> left_division(X,multiply(Y,X))
% Current number of equations to process: 493
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [132]
% right_division(left_division(X,multiply(Y,X)),right_division(X,right_division(identity,X)))
% -> right_division(left_division(X,Y),X)
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [133]
% left_division(right_division(X,right_division(identity,X)),multiply(X,
% right_division(X,
% right_division(identity,X))))
% -> X
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [134]
% left_division(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(Y,X))))
% -> X
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [135]
% left_division(left_division(X,left_division(X,Y)),left_division(X,left_division(X,
% multiply(Y,X))))
% -> X
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [136]
% left_division(right_division(X,right_division(identity,X)),right_division(identity,X))
% ->
% right_division(right_division(identity,X),right_division(X,right_division(identity,X)))
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [137]
% multiply(right_division(identity,X),multiply(X,multiply(X,multiply(Y,
% right_division(X,
% right_division(identity,X))))))
% -> multiply(X,multiply(Y,right_division(X,right_division(identity,X))))
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [138]
% left_division(multiply(X,multiply(Y,X)),multiply(X,multiply(Y,multiply(X,Y))))
% -> Y
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [139]
% multiply(right_division(identity,X),multiply(X,right_division(X,right_division(identity,X))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [140]
% multiply(right_division(left_division(X,Y),Y),multiply(Y,multiply(Y,multiply(X,Y))))
% -> multiply(left_division(X,Y),multiply(Y,multiply(X,Y)))
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [141]
% left_division(multiply(left_division(X,Y),Y),multiply(left_division(X,Y),
% multiply(Y,X))) -> X
% Current number of equations to process: 463
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [142]
% left_division(multiply(X,right_division(X,Y)),multiply(right_division(X,Y),
% multiply(Y,X))) -> Y
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [143]
% multiply(right_division(X,Y),multiply(Y,multiply(Y,multiply(right_division(Y,X),Y))))
% -> multiply(X,multiply(Y,multiply(right_division(Y,X),Y)))
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [144]
% left_division(multiply(X,Y),right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y))
% -> Z
% Current number of equations to process: 458
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [145]
% right_division(multiply(right_division(X,Y),multiply(Z,Y)),Y) ->
% multiply(X,left_division(Y,Z))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [146]
% right_division(multiply(right_division(X,Z),multiply(Z,Y)),Z) ->
% multiply(X,right_division(Y,Z))
% Rule
% [102]
% right_division(multiply(right_division(X,Y),multiply(Y,X)),Y) ->
% multiply(X,right_division(X,Y)) collapsed.
% Rule
% [118]
% right_division(multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))),Z) ->
% multiply(X,Y) collapsed.
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [147]
% right_division(right_division(multiply(X,multiply(Y,Z)),Z),left_division(Z,Y))
% -> multiply(X,Z)
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [148]
% left_division(multiply(X,Y),right_division(multiply(X,multiply(Z,Y)),Y)) ->
% left_division(Y,Z)
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [149]
% right_division(right_division(multiply(X,multiply(Y,Z)),Y),right_division(Z,Y))
% -> multiply(X,Y)
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [150]
% left_division(multiply(X,Y),right_division(multiply(X,multiply(Y,Z)),Y)) ->
% right_division(Z,Y)
% Rule
% [144]
% left_division(multiply(X,Y),right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y))
% -> Z collapsed.
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [151]
% multiply(right_division(identity,Y),multiply(Y,multiply(X,Y))) ->
% multiply(X,Y)
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [152]
% multiply(right_division(X,Y),multiply(Y,multiply(X,Y))) ->
% multiply(X,multiply(X,Y))
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [153]
% multiply(right_division(right_division(X,Z),Y),multiply(Y,multiply(Z,Y))) ->
% multiply(X,Y)
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [154]
% multiply(right_division(Z,Y),multiply(Y,multiply(left_division(Z,X),Y))) ->
% multiply(X,Y)
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [155]
% left_division(right_division(X,Y),multiply(multiply(X,Z),Y)) <->
% multiply(Y,multiply(Z,Y))
% Current number of equations to process: 638
% Current number of ordered equations: 1
% Current number of rules: 118
% Rule [126]
% multiply(right_division(X,multiply(X,Y)),multiply(multiply(X,Y),
% multiply(Y,multiply(Y,multiply(X,Y)))))
% -> multiply(multiply(X,Y),multiply(Y,multiply(X,Y))) is composed into 
% [126]
% multiply(right_division(X,multiply(X,Y)),multiply(multiply(X,Y),multiply(Y,
% multiply(Y,
% multiply(X,Y)))))
% ->
% left_division(right_division(X,multiply(X,Y)),multiply(multiply(X,Y),
% multiply(X,Y)))
% New rule produced :
% [156]
% multiply(Y,multiply(Z,Y)) <->
% left_division(right_division(X,Y),multiply(multiply(X,Z),Y))
% The conjecture has been reduced. 
% Conjecture is now:
% right_division(multiply(a,left_division(right_division(c,multiply(b,a)),
% multiply(c,multiply(c,multiply(b,a))))),multiply(b,a)) = 
% multiply(a,multiply(b,multiply(a,c)))
% 
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [157]
% right_division(multiply(multiply(X,Y),Z),multiply(Z,multiply(Y,Z))) ->
% right_division(X,Z)
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [158]
% right_division(multiply(X,right_division(X,Y)),right_division(multiply(Y,X),Y))
% -> right_division(X,Y)
% Current number of equations to process: 714
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [159]
% multiply(left_division(right_division(X,Y),multiply(X,right_division(X,Y))),Y)
% -> multiply(Y,X)
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [160]
% multiply(X,right_division(X,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,X))))
% Rule
% [103]
% right_division(multiply(X,multiply(Y,right_division(Y,right_division(identity,Y)))),Y)
% -> multiply(X,right_division(Y,right_division(identity,Y))) collapsed.
% Rule
% [124]
% multiply(right_division(X,Y),multiply(Y,multiply(Y,multiply(right_division(Z,Y),
% multiply(Y,right_division(Y,
% right_division(identity,Y)))))))
% ->
% multiply(right_division(X,Y),multiply(Y,multiply(Y,multiply(Z,right_division(Y,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [133]
% left_division(right_division(X,right_division(identity,X)),multiply(X,
% right_division(X,
% right_division(identity,X))))
% -> X collapsed.
% Rule
% [139]
% multiply(right_division(identity,X),multiply(X,right_division(X,right_division(identity,X))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 1030
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [161]
% multiply(Z,multiply(left_division(multiply(X,Z),Y),Z)) ->
% left_division(X,multiply(Y,Z))
% Rule
% [104]
% multiply(Z,multiply(Y,multiply(left_division(multiply(Z,Y),X),Y))) ->
% multiply(X,Y) collapsed.
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [162]
% multiply(X,multiply(Y,multiply(right_division(identity,multiply(X,Y)),Y))) ->
% Y
% Current number of equations to process: 1062
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [163]
% right_division(multiply(X,multiply(X,Y)),Y) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 1397
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [164]
% left_division(right_division(X,right_division(identity,X)),multiply(X,
% multiply(X,Y))) ->
% Y
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [165]
% multiply(Y,multiply(Y,left_division(right_division(Y,right_division(identity,Y)),X)))
% -> X
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [166]
% right_division(left_division(X,multiply(Y,multiply(Y,X))),X) ->
% left_division(X,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 1403
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [167]
% right_division(multiply(X,multiply(Y,multiply(Y,X))),X) ->
% multiply(X,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [168]
% multiply(right_division(X,multiply(Y,multiply(Z,Y))),Y) ->
% right_division(right_division(X,Y),Z)
% Current number of equations to process: 1456
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [169]
% right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y) <->
% multiply(right_division(X,Z),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 1505
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [170]
% multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))) <->
% right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y)
% Rule
% [100]
% multiply(X,multiply(right_division(left_division(X,Y),X),multiply(X,multiply(Y,X))))
% -> multiply(Y,multiply(Y,X)) collapsed.
% Rule
% [152]
% multiply(right_division(X,Y),multiply(Y,multiply(X,Y))) ->
% multiply(X,multiply(X,Y)) collapsed.
% Rule
% [153]
% multiply(right_division(right_division(X,Z),Y),multiply(Y,multiply(Z,Y))) ->
% multiply(X,Y) collapsed.
% Current number of equations to process: 1506
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [171]
% multiply(left_division(X,multiply(Y,X)),left_division(X,Z)) <->
% right_division(multiply(left_division(X,Y),multiply(Z,X)),X)
% Rule
% [93]
% multiply(left_division(X,multiply(Y,X)),left_division(X,Y)) ->
% multiply(left_division(X,Y),Y) collapsed.
% Current number of equations to process: 1505
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [172]
% right_division(multiply(left_division(X,Y),multiply(Z,X)),X) <->
% multiply(left_division(X,multiply(Y,X)),left_division(X,Z))
% Current number of equations to process: 1505
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [173]
% multiply(multiply(X,Y),left_division(Y,left_division(Y,Z))) <->
% right_division(multiply(X,left_division(Y,multiply(Z,Y))),Y)
% Current number of equations to process: 1504
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [174]
% right_division(multiply(X,left_division(Y,multiply(Z,Y))),Y) <->
% multiply(multiply(X,Y),left_division(Y,left_division(Y,Z)))
% Current number of equations to process: 1504
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [175]
% left_division(multiply(multiply(X,Y),left_division(Y,Z)),multiply(X,multiply(Z,Y)))
% -> Y
% Current number of equations to process: 1503
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [176]
% multiply(X,multiply(multiply(Y,X),left_division(X,Z))) <->
% right_division(multiply(X,multiply(Y,multiply(Z,X))),X)
% Current number of equations to process: 1502
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [177]
% right_division(multiply(X,multiply(Y,multiply(Z,X))),X) <->
% multiply(X,multiply(multiply(Y,X),left_division(X,Z)))
% Current number of equations to process: 1502
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [178]
% left_division(X,multiply(multiply(Y,X),left_division(X,Z))) <->
% right_division(left_division(X,multiply(Y,multiply(Z,X))),X)
% Current number of equations to process: 1501
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [179]
% right_division(left_division(X,multiply(Y,multiply(Z,X))),X) <->
% left_division(X,multiply(multiply(Y,X),left_division(X,Z)))
% Current number of equations to process: 1501
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [180]
% multiply(left_division(X,multiply(Y,X)),right_division(Z,X)) ->
% right_division(multiply(left_division(X,Y),multiply(X,Z)),X)
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [181]
% left_division(multiply(X,Y),multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))))
% -> Z
% Current number of equations to process: 1499
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [182]
% multiply(X,multiply(right_division(identity,X),multiply(Y,right_division(identity,X))))
% -> multiply(Y,right_division(identity,X))
% Current number of equations to process: 1497
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [183]
% multiply(right_division(left_division(X,Y),X),right_division(Y,X)) ->
% multiply(left_division(X,Y),right_division(left_division(X,Y),X))
% Current number of equations to process: 1496
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [184]
% left_division(left_division(right_division(X,Y),multiply(X,right_division(X,Y))),
% multiply(Y,X)) -> Y
% Current number of equations to process: 1495
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [185]
% left_division(right_division(identity,right_division(X,right_division(identity,X))),X)
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,X))))
% Current number of equations to process: 1492
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [186]
% right_division(right_division(X,right_division(identity,X)),multiply(
% left_division(Y,X),X))
% -> Y
% Current number of equations to process: 1491
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [187]
% right_division(multiply(right_division(left_division(X,Y),X),Y),X) ->
% multiply(left_division(X,Y),right_division(left_division(X,Y),X))
% Current number of equations to process: 1490
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [188]
% multiply(left_division(X,Y),left_division(X,multiply(Y,X))) ->
% left_division(X,multiply(right_division(Y,X),multiply(Y,X)))
% Current number of equations to process: 1488
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [189]
% left_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 1487
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [190]
% multiply(right_division(identity,right_division(X,right_division(identity,X))),Y)
% ->
% multiply(right_division(identity,X),multiply(right_division(identity,X),Y))
% Current number of equations to process: 1483
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [191]
% right_division(multiply(X,multiply(X,right_division(Y,right_division(identity,Y)))),Y)
% -> multiply(X,multiply(X,Y))
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [192]
% multiply(multiply(X,multiply(X,Y)),left_division(Y,Z)) <->
% right_division(multiply(X,multiply(X,multiply(Z,Y))),Y)
% Current number of equations to process: 1481
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [193]
% right_division(multiply(X,multiply(X,multiply(Z,Y))),Y) <->
% multiply(multiply(X,multiply(X,Y)),left_division(Y,Z))
% Current number of equations to process: 1481
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [194]
% multiply(multiply(X,multiply(X,Y)),right_division(Z,Y)) ->
% right_division(multiply(X,multiply(X,multiply(Y,Z))),Y)
% Current number of equations to process: 1479
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [195]
% multiply(right_division(identity,X),multiply(X,multiply(X,Y))) ->
% multiply(X,Y)
% Rule
% [137]
% multiply(right_division(identity,X),multiply(X,multiply(X,multiply(Y,
% right_division(X,
% right_division(identity,X))))))
% -> multiply(X,multiply(Y,right_division(X,right_division(identity,X))))
% collapsed.
% Current number of equations to process: 2104
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [196] multiply(X,right_division(identity,Y)) -> right_division(X,Y)
% Rule
% [182]
% multiply(X,multiply(right_division(identity,X),multiply(Y,right_division(identity,X))))
% -> multiply(Y,right_division(identity,X)) collapsed.
% Current number of equations to process: 2441
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [197]
% multiply(X,multiply(right_division(identity,X),right_division(Y,X))) ->
% right_division(Y,X)
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [198]
% right_division(multiply(right_division(X,Y),Z),Y) ->
% multiply(X,right_division(left_division(Y,Z),Y))
% Rule
% [145]
% right_division(multiply(right_division(X,Y),multiply(Z,Y)),Y) ->
% multiply(X,left_division(Y,Z)) collapsed.
% Rule
% [146]
% right_division(multiply(right_division(X,Z),multiply(Z,Y)),Z) ->
% multiply(X,right_division(Y,Z)) collapsed.
% Rule
% [187]
% right_division(multiply(right_division(left_division(X,Y),X),Y),X) ->
% multiply(left_division(X,Y),right_division(left_division(X,Y),X)) collapsed.
% Current number of equations to process: 2453
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [199]
% right_division(right_division(multiply(X,Y),X),right_division(identity,X)) ->
% left_division(right_division(identity,X),Y)
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [200] multiply(X,Y) -> right_division(X,right_division(identity,Y))
% Rule [1] multiply(X,identity) -> X collapsed.
% Rule [2] multiply(identity,X) -> X collapsed.
% Rule [5] right_division(multiply(X,Y),Y) -> X collapsed.
% Rule [6] left_division(X,multiply(X,Y)) -> Y collapsed.
% Rule [7] multiply(X,left_division(X,Y)) -> Y collapsed.
% Rule [8] multiply(right_division(X,Y),Y) -> X collapsed.
% Rule [26] right_division(multiply(X,multiply(Y,X)),X) -> multiply(X,Y)
% collapsed.
% Rule
% [30]
% left_division(right_division(X,Y),multiply(X,Y)) ->
% right_division(Y,right_division(identity,Y)) collapsed.
% Rule [32] multiply(X,right_division(Y,X)) -> right_division(multiply(X,Y),X)
% collapsed.
% Rule [33] multiply(left_division(X,Y),X) -> left_division(X,multiply(Y,X))
% collapsed.
% Rule [36] multiply(X,X) -> right_division(X,right_division(identity,X))
% collapsed.
% Rule
% [40] right_division(left_division(X,multiply(Y,X)),X) -> left_division(X,Y)
% collapsed.
% Rule [44] left_division(multiply(X,Y),multiply(X,multiply(Y,X))) -> X
% collapsed.
% Rule
% [47] right_division(right_division(multiply(X,Y),X),right_division(Y,X)) -> X
% collapsed.
% Rule
% [48] left_division(left_division(X,Y),left_division(X,multiply(Y,X))) -> X
% collapsed.
% Rule
% [60]
% right_division(multiply(X,right_division(Y,right_division(identity,Y))),Y) ->
% multiply(X,Y) collapsed.
% Rule
% [61]
% multiply(right_division(X,Y),right_division(Y,right_division(identity,Y))) ->
% multiply(X,Y) collapsed.
% Rule
% [64]
% multiply(right_division(X,right_division(Y,right_division(identity,Y))),Y) ->
% right_division(X,Y) collapsed.
% Rule
% [65]
% right_division(multiply(X,Y),right_division(Y,right_division(identity,Y))) ->
% right_division(X,Y) collapsed.
% Rule
% [66]
% multiply(X,right_division(Y,right_division(X,right_division(identity,X)))) ->
% right_division(multiply(X,Y),right_division(X,right_division(identity,X)))
% collapsed.
% Rule
% [74]
% right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y) <->
% multiply(multiply(X,Y),Z) collapsed.
% Rule
% [75]
% multiply(multiply(X,Y),Z) <->
% right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y) collapsed.
% Rule
% [76]
% right_division(multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))),Z) ->
% multiply(X,multiply(Y,multiply(Z,Y))) collapsed.
% Rule
% [77]
% multiply(multiply(X,Z),left_division(Z,Y)) <->
% right_division(multiply(X,multiply(Y,Z)),Z) collapsed.
% Rule
% [78]
% right_division(multiply(X,multiply(Y,Z)),Z) <->
% multiply(multiply(X,Z),left_division(Z,Y)) collapsed.
% Rule
% [79]
% multiply(multiply(X,Y),right_division(Z,Y)) ->
% right_division(multiply(X,multiply(Y,Z)),Y) collapsed.
% Rule
% [80]
% right_division(multiply(X,multiply(Y,multiply(X,Y))),Y) ->
% multiply(X,multiply(Y,X)) collapsed.
% Rule
% [81]
% multiply(multiply(X,Y),Z) <->
% multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))) collapsed.
% Rule
% [82]
% multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))) <->
% multiply(multiply(X,Y),Z) collapsed.
% Rule
% [83]
% multiply(X,left_division(Y,X)) <->
% multiply(Y,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X)))) collapsed.
% Rule
% [84]
% multiply(Y,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X)))) <->
% multiply(X,left_division(Y,X)) collapsed.
% Rule
% [85]
% multiply(right_division(X,Y),right_division(multiply(Y,X),Y)) ->
% multiply(X,right_division(X,Y)) collapsed.
% Rule
% [87]
% right_division(multiply(X,multiply(Y,right_division(X,right_division(identity,X)))),X)
% -> multiply(X,multiply(Y,X)) collapsed.
% Rule
% [88]
% right_division(multiply(X,multiply(X,multiply(Y,X))),X) ->
% multiply(X,multiply(X,Y)) collapsed.
% Rule
% [90]
% right_division(multiply(X,multiply(Y,X)),right_division(X,right_division(identity,X)))
% -> right_division(multiply(X,Y),X) collapsed.
% Rule
% [91]
% right_division(multiply(X,Y),X) <->
% left_division(right_division(Y,X),multiply(Y,right_division(Y,X))) collapsed.
% Rule
% [92]
% left_division(right_division(Y,X),multiply(Y,right_division(Y,X))) <->
% right_division(multiply(X,Y),X) collapsed.
% Rule
% [95]
% right_division(left_division(X,left_division(X,multiply(Y,X))),X) ->
% left_division(X,left_division(X,Y)) collapsed.
% Rule
% [99]
% left_division(multiply(X,Y),multiply(X,right_division(Y,right_division(identity,Y))))
% -> Y collapsed.
% Rule
% [101]
% right_division(multiply(left_division(X,Y),multiply(Y,X)),X) ->
% multiply(left_division(X,Y),Y) collapsed.
% Rule
% [106]
% left_division(X,multiply(Y,left_division(X,Y))) ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% collapsed.
% Rule
% [108]
% left_division(left_division(X,multiply(Y,X)),multiply(left_division(X,Y),Y))
% -> left_division(X,Y) collapsed.
% Rule
% [111]
% left_division(X,left_division(right_division(Y,X),multiply(Y,right_division(Y,X))))
% -> right_division(Y,X) collapsed.
% Rule
% [114]
% right_division(multiply(X,multiply(left_division(X,Y),Y)),left_division(X,Y))
% -> multiply(Y,X) collapsed.
% Rule
% [115]
% left_division(multiply(X,Y),multiply(Y,multiply(left_division(Y,X),X))) ->
% left_division(Y,X) collapsed.
% Rule
% [116]
% right_division(multiply(X,multiply(Y,right_division(Y,X))),right_division(Y,X))
% -> multiply(X,Y) collapsed.
% Rule
% [117]
% left_division(multiply(X,Y),multiply(X,multiply(Y,right_division(Y,X)))) ->
% right_division(Y,X) collapsed.
% Rule
% [119]
% multiply(right_division(X,right_division(identity,X)),Y) ->
% multiply(X,multiply(X,Y)) collapsed.
% Rule
% [120]
% right_division(right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y),Z) ->
% multiply(X,Y) collapsed.
% Rule
% [121]
% left_division(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,multiply(Z,Y))))
% -> Y collapsed.
% Rule
% [122]
% multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))) <->
% multiply(right_division(X,Z),multiply(Z,multiply(right_division(Y,Z),
% multiply(Z,multiply(Z,multiply(Y,Z))))))
% collapsed.
% Rule
% [123]
% multiply(right_division(X,Z),multiply(Z,multiply(right_division(Y,Z),
% multiply(Z,multiply(Z,multiply(Y,Z))))))
% <-> multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))) collapsed.
% Rule
% [125]
% multiply(right_division(X,multiply(X,Y)),multiply(multiply(X,Y),multiply(
% multiply(Y,X),
% multiply(X,Y))))
% -> multiply(multiply(X,Y),multiply(X,multiply(X,Y))) collapsed.
% Rule
% [126]
% multiply(right_division(X,multiply(X,Y)),multiply(multiply(X,Y),multiply(Y,
% multiply(Y,
% multiply(X,Y)))))
% ->
% left_division(right_division(X,multiply(X,Y)),multiply(multiply(X,Y),
% multiply(X,Y))) collapsed.
% Rule
% [128]
% left_division(right_division(multiply(X,Y),X),multiply(X,multiply(Y,X))) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule
% [129]
% multiply(left_division(X,Y),right_division(X,right_division(identity,X))) ->
% left_division(X,multiply(Y,right_division(X,right_division(identity,X))))
% collapsed.
% Rule
% [130]
% left_division(right_division(left_division(X,Y),X),left_division(X,multiply(Y,X)))
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [131]
% right_division(left_division(X,multiply(Y,right_division(X,right_division(identity,X)))),X)
% -> left_division(X,multiply(Y,X)) collapsed.
% Rule
% [132]
% right_division(left_division(X,multiply(Y,X)),right_division(X,right_division(identity,X)))
% -> right_division(left_division(X,Y),X) collapsed.
% Rule
% [134]
% left_division(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(Y,X))))
% -> X collapsed.
% Rule
% [135]
% left_division(left_division(X,left_division(X,Y)),left_division(X,left_division(X,
% multiply(Y,X))))
% -> X collapsed.
% Rule
% [138]
% left_division(multiply(X,multiply(Y,X)),multiply(X,multiply(Y,multiply(X,Y))))
% -> Y collapsed.
% Rule
% [140]
% multiply(right_division(left_division(X,Y),Y),multiply(Y,multiply(Y,multiply(X,Y))))
% -> multiply(left_division(X,Y),multiply(Y,multiply(X,Y))) collapsed.
% Rule
% [141]
% left_division(multiply(left_division(X,Y),Y),multiply(left_division(X,Y),
% multiply(Y,X))) -> X collapsed.
% Rule
% [142]
% left_division(multiply(X,right_division(X,Y)),multiply(right_division(X,Y),
% multiply(Y,X))) -> Y collapsed.
% Rule
% [143]
% multiply(right_division(X,Y),multiply(Y,multiply(Y,multiply(right_division(Y,X),Y))))
% -> multiply(X,multiply(Y,multiply(right_division(Y,X),Y))) collapsed.
% Rule
% [147]
% right_division(right_division(multiply(X,multiply(Y,Z)),Z),left_division(Z,Y))
% -> multiply(X,Z) collapsed.
% Rule
% [148]
% left_division(multiply(X,Y),right_division(multiply(X,multiply(Z,Y)),Y)) ->
% left_division(Y,Z) collapsed.
% Rule
% [149]
% right_division(right_division(multiply(X,multiply(Y,Z)),Y),right_division(Z,Y))
% -> multiply(X,Y) collapsed.
% Rule
% [150]
% left_division(multiply(X,Y),right_division(multiply(X,multiply(Y,Z)),Y)) ->
% right_division(Z,Y) collapsed.
% Rule
% [151]
% multiply(right_division(identity,Y),multiply(Y,multiply(X,Y))) ->
% multiply(X,Y) collapsed.
% Rule
% [154]
% multiply(right_division(Z,Y),multiply(Y,multiply(left_division(Z,X),Y))) ->
% multiply(X,Y) collapsed.
% Rule
% [155]
% left_division(right_division(X,Y),multiply(multiply(X,Z),Y)) <->
% multiply(Y,multiply(Z,Y)) collapsed.
% Rule
% [156]
% multiply(Y,multiply(Z,Y)) <->
% left_division(right_division(X,Y),multiply(multiply(X,Z),Y)) collapsed.
% Rule
% [157]
% right_division(multiply(multiply(X,Y),Z),multiply(Z,multiply(Y,Z))) ->
% right_division(X,Z) collapsed.
% Rule
% [158]
% right_division(multiply(X,right_division(X,Y)),right_division(multiply(Y,X),Y))
% -> right_division(X,Y) collapsed.
% Rule
% [159]
% multiply(left_division(right_division(X,Y),multiply(X,right_division(X,Y))),Y)
% -> multiply(Y,X) collapsed.
% Rule
% [160]
% multiply(X,right_division(X,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,X))))
% collapsed.
% Rule
% [161]
% multiply(Z,multiply(left_division(multiply(X,Z),Y),Z)) ->
% left_division(X,multiply(Y,Z)) collapsed.
% Rule
% [162]
% multiply(X,multiply(Y,multiply(right_division(identity,multiply(X,Y)),Y))) ->
% Y collapsed.
% Rule
% [163]
% right_division(multiply(X,multiply(X,Y)),Y) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule
% [164]
% left_division(right_division(X,right_division(identity,X)),multiply(X,
% multiply(X,Y))) ->
% Y collapsed.
% Rule
% [165]
% multiply(Y,multiply(Y,left_division(right_division(Y,right_division(identity,Y)),X)))
% -> X collapsed.
% Rule
% [166]
% right_division(left_division(X,multiply(Y,multiply(Y,X))),X) ->
% left_division(X,right_division(Y,right_division(identity,Y))) collapsed.
% Rule
% [167]
% right_division(multiply(X,multiply(Y,multiply(Y,X))),X) ->
% multiply(X,right_division(Y,right_division(identity,Y))) collapsed.
% Rule
% [168]
% multiply(right_division(X,multiply(Y,multiply(Z,Y))),Y) ->
% right_division(right_division(X,Y),Z) collapsed.
% Rule
% [169]
% right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y) <->
% multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))) collapsed.
% Rule
% [170]
% multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))) <->
% right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y) collapsed.
% Rule
% [171]
% multiply(left_division(X,multiply(Y,X)),left_division(X,Z)) <->
% right_division(multiply(left_division(X,Y),multiply(Z,X)),X) collapsed.
% Rule
% [172]
% right_division(multiply(left_division(X,Y),multiply(Z,X)),X) <->
% multiply(left_division(X,multiply(Y,X)),left_division(X,Z)) collapsed.
% Rule
% [173]
% multiply(multiply(X,Y),left_division(Y,left_division(Y,Z))) <->
% right_division(multiply(X,left_division(Y,multiply(Z,Y))),Y) collapsed.
% Rule
% [174]
% right_division(multiply(X,left_division(Y,multiply(Z,Y))),Y) <->
% multiply(multiply(X,Y),left_division(Y,left_division(Y,Z))) collapsed.
% Rule
% [175]
% left_division(multiply(multiply(X,Y),left_division(Y,Z)),multiply(X,multiply(Z,Y)))
% -> Y collapsed.
% Rule
% [176]
% multiply(X,multiply(multiply(Y,X),left_division(X,Z))) <->
% right_division(multiply(X,multiply(Y,multiply(Z,X))),X) collapsed.
% Rule
% [177]
% right_division(multiply(X,multiply(Y,multiply(Z,X))),X) <->
% multiply(X,multiply(multiply(Y,X),left_division(X,Z))) collapsed.
% Rule
% [178]
% left_division(X,multiply(multiply(Y,X),left_division(X,Z))) <->
% right_division(left_division(X,multiply(Y,multiply(Z,X))),X) collapsed.
% Rule
% [179]
% right_division(left_division(X,multiply(Y,multiply(Z,X))),X) <->
% left_division(X,multiply(multiply(Y,X),left_division(X,Z))) collapsed.
% Rule
% [180]
% multiply(left_division(X,multiply(Y,X)),right_division(Z,X)) ->
% right_division(multiply(left_division(X,Y),multiply(X,Z)),X) collapsed.
% Rule
% [181]
% left_division(multiply(X,Y),multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))))
% -> Z collapsed.
% Rule
% [183]
% multiply(right_division(left_division(X,Y),X),right_division(Y,X)) ->
% multiply(left_division(X,Y),right_division(left_division(X,Y),X)) collapsed.
% Rule
% [184]
% left_division(left_division(right_division(X,Y),multiply(X,right_division(X,Y))),
% multiply(Y,X)) -> Y collapsed.
% Rule
% [186]
% right_division(right_division(X,right_division(identity,X)),multiply(
% left_division(Y,X),X))
% -> Y collapsed.
% Rule
% [188]
% multiply(left_division(X,Y),left_division(X,multiply(Y,X))) ->
% left_division(X,multiply(right_division(Y,X),multiply(Y,X))) collapsed.
% Rule
% [190]
% multiply(right_division(identity,right_division(X,right_division(identity,X))),Y)
% ->
% multiply(right_division(identity,X),multiply(right_division(identity,X),Y))
% collapsed.
% Rule
% [191]
% right_division(multiply(X,multiply(X,right_division(Y,right_division(identity,Y)))),Y)
% -> multiply(X,multiply(X,Y)) collapsed.
% Rule
% [192]
% multiply(multiply(X,multiply(X,Y)),left_division(Y,Z)) <->
% right_division(multiply(X,multiply(X,multiply(Z,Y))),Y) collapsed.
% Rule
% [193]
% right_division(multiply(X,multiply(X,multiply(Z,Y))),Y) <->
% multiply(multiply(X,multiply(X,Y)),left_division(Y,Z)) collapsed.
% Rule
% [194]
% multiply(multiply(X,multiply(X,Y)),right_division(Z,Y)) ->
% right_division(multiply(X,multiply(X,multiply(Y,Z))),Y) collapsed.
% Rule
% [195]
% multiply(right_division(identity,X),multiply(X,multiply(X,Y))) ->
% multiply(X,Y) collapsed.
% Rule [196] multiply(X,right_division(identity,Y)) -> right_division(X,Y)
% collapsed.
% Rule
% [197]
% multiply(X,multiply(right_division(identity,X),right_division(Y,X))) ->
% right_division(Y,X) collapsed.
% Rule
% [198]
% right_division(multiply(right_division(X,Y),Z),Y) ->
% multiply(X,right_division(left_division(Y,Z),Y)) collapsed.
% Rule
% [199]
% right_division(right_division(multiply(X,Y),X),right_division(identity,X)) ->
% left_division(right_division(identity,X),Y) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% right_division(right_division(a,right_division(identity,left_division(
% right_division(c,
% right_division(b,
% right_division(identity,a))),
% right_division(c,
% right_division(identity,
% right_division(c,
% right_division(identity,
% right_division(b,
% right_division(identity,a))))))))),
% right_division(b,right_division(identity,a))) = right_division(a,right_division(identity,
% right_division(b,
% right_division(identity,
% right_division(a,
% right_division(identity,c))))))
% 
% Current number of equations to process: 2555
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [201] right_division(X,right_division(identity,left_division(X,Y))) -> Y
% Current number of equations to process: 2550
% Current number of ordered equations: 4
% Current number of rules: 37
% New rule produced :
% [202] right_division(right_division(X,Y),right_division(identity,Y)) -> X
% Current number of equations to process: 2550
% Current number of ordered equations: 3
% Current number of rules: 38
% New rule produced :
% [203] left_division(X,right_division(X,right_division(identity,Y))) -> Y
% Rule [56] left_division(X,right_division(X,right_division(identity,X))) -> X
% collapsed.
% Rule
% [189]
% left_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 2550
% Current number of ordered equations: 2
% Current number of rules: 37
% New rule produced :
% [204] right_division(right_division(X,right_division(identity,Y)),Y) -> X
% Rule [55] right_division(right_division(X,right_division(identity,X)),X) -> X
% collapsed.
% Current number of equations to process: 2550
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [205]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 2550
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [206]
% right_division(right_division(X,right_division(identity,Y)),X) ->
% right_division(X,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 2549
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [207]
% left_division(X,right_division(Y,right_division(identity,X))) ->
% right_division(left_division(X,Y),right_division(identity,X))
% Current number of equations to process: 2548
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [208]
% left_division(right_division(X,Y),right_division(X,right_division(identity,Y)))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 2546
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [209]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,Y)) -> right_division(X,Y)
% Rule
% [69]
% right_division(right_division(identity,right_division(X,right_division(identity,X))),
% right_division(identity,X)) -> right_division(identity,X) collapsed.
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [210]
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,Y)))
% -> right_division(X,Y)
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [211]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),Y)
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 2546
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [212]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% -> right_division(X,right_division(identity,Y))
% Rule
% [98]
% right_division(right_division(identity,X),right_division(identity,right_division(X,
% right_division(identity,X))))
% -> X collapsed.
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [213]
% left_division(X,right_division(Y,right_division(identity,left_division(X,Y))))
% ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [214]
% right_division(right_division(X,right_division(identity,X)),right_division(identity,Y))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,Y))))
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [215] right_division(identity,left_division(Y,X)) <-> left_division(X,Y)
% Current number of equations to process: 2548
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [216] left_division(X,Y) <-> right_division(identity,left_division(Y,X))
% Rule [21] left_division(right_division(X,Y),X) -> Y collapsed.
% Rule
% [46]
% left_division(right_division(right_division(X,Y),Y),X) ->
% right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [51]
% left_division(right_division(identity,X),X) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule
% [94]
% left_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(X,Y)) -> Y collapsed.
% Rule
% [96]
% left_division(left_division(X,Y),X) <->
% right_division(left_division(left_division(X,Y),Y),left_division(X,Y))
% collapsed.
% Rule
% [97]
% right_division(left_division(left_division(X,Y),Y),left_division(X,Y)) <->
% left_division(left_division(X,Y),X) collapsed.
% Rule
% [105]
% left_division(right_division(X,left_division(X,Y)),Y) ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% collapsed.
% Rule
% [110]
% left_division(left_division(left_division(X,Y),X),left_division(left_division(X,Y),Y))
% -> left_division(X,Y) collapsed.
% Rule
% [112]
% right_division(X,right_division(left_division(left_division(X,Y),Y),left_division(X,Y)))
% -> left_division(X,Y) collapsed.
% Rule
% [136]
% left_division(right_division(X,right_division(identity,X)),right_division(identity,X))
% ->
% right_division(right_division(identity,X),right_division(X,right_division(identity,X)))
% collapsed.
% Rule
% [185]
% left_division(right_division(identity,right_division(X,right_division(identity,X))),X)
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,X))))
% collapsed.
% Current number of equations to process: 2557
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [217] right_division(identity,left_division(X,right_division(X,Y))) -> Y
% Current number of equations to process: 2556
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [218] left_division(X,right_division(X,Y)) -> right_division(identity,Y)
% Rule [203] left_division(X,right_division(X,right_division(identity,Y))) -> Y
% collapsed.
% Rule [217] right_division(identity,left_division(X,right_division(X,Y))) -> Y
% collapsed.
% Current number of equations to process: 2564
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [219]
% right_division(X,right_division(identity,right_division(left_division(X,Y),X)))
% -> right_division(Y,X)
% Current number of equations to process: 2564
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [220]
% right_division(right_division(X,Y),right_division(right_division(identity,
% left_division(X,Y)),Y)) ->
% Y
% Current number of equations to process: 2562
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [221]
% right_division(right_division(right_division(X,Y),X),right_division(right_division(identity,Y),X))
% -> X
% Current number of equations to process: 2561
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [222]
% right_division(identity,left_division(Y,right_division(X,left_division(X,Y))))
% ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% Current number of equations to process: 2560
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [223]
% right_division(identity,left_division(right_division(X,Y),right_division(X,
% right_division(Y,
% right_division(identity,Y)))))
% -> Y
% Current number of equations to process: 2559
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [224]
% right_division(right_division(X,right_division(identity,X)),right_division(
% left_division(Y,X),
% right_division(identity,X)))
% -> Y
% Current number of equations to process: 2558
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [225]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),Y)
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 2557
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [226]
% left_division(right_division(X,right_division(identity,left_division(Y,Z))),
% right_division(right_division(X,Y),right_division(identity,right_division(Z,
% right_division(identity,Y)))))
% -> Y
% Current number of equations to process: 2556
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [227]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,left_division(X,Z))) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),X)
% Current number of equations to process: 2555
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [228]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),X)
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,left_division(X,Z)))
% Current number of equations to process: 2555
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [229]
% right_division(X,right_division(identity,right_division(left_division(Y,Z),Y)))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),Y)
% Rule
% [219]
% right_division(X,right_division(identity,right_division(left_division(X,Y),X)))
% -> right_division(Y,X) collapsed.
% Current number of equations to process: 2554
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [230]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),Y)
% <->
% right_division(X,right_division(identity,right_division(left_division(Y,Z),Y)))
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [231]
% left_division(right_division(identity,X),Y) ->
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,X))
% Rule
% [113]
% left_division(right_division(identity,X),right_division(identity,right_division(X,
% right_division(identity,X))))
% -> right_division(identity,X) collapsed.
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [232]
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,left_division(X,Y))) <->
% right_division(identity,left_division(Y,left_division(X,Y)))
% Current number of equations to process: 2553
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [233]
% right_division(identity,left_division(Y,left_division(X,Y))) <->
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,left_division(X,Y)))
% Current number of equations to process: 2553
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [234]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,X))
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [235]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(X,Y))))
% -> right_division(X,right_division(X,Y))
% Current number of equations to process: 2551
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [236]
% right_division(Z,right_division(identity,right_division(left_division(Z,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% left_division(Z,X)))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Z,X)))
% Current number of equations to process: 2550
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [237]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Z,X)))
% <->
% right_division(Z,right_division(identity,right_division(left_division(Z,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% left_division(Z,X)))))))
% Current number of equations to process: 2550
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [238]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,Y))
% Current number of equations to process: 2549
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [239]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,Y))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% Current number of equations to process: 2547
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [240]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,Y)))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))
% Current number of equations to process: 2546
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [241]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))),X)))
% ->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,Z))))
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [242]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(X,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [243]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),
% right_division(identity,Y)) ->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [244]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(Y,right_division(identity,Y))) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),Y)
% Current number of equations to process: 2541
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [245]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),Y) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 2541
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [246]
% left_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,Z))) <->
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(X,right_division(identity,
% right_division(Z,
% right_division(identity,X))))))),X)
% Current number of equations to process: 2539
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [247]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(X,right_division(identity,
% right_division(Z,
% right_division(identity,X))))))),X)
% <->
% left_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,Z)))
% Current number of equations to process: 2539
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [248]
% right_division(identity,left_division(X,left_division(X,Y))) <->
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y))
% Current number of equations to process: 2538
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [249]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y)) <->
% right_division(identity,left_division(X,left_division(X,Y)))
% Current number of equations to process: 2538
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [250]
% left_division(X,right_division(Y,right_division(identity,right_division(
% left_division(Y,X),
% right_division(identity,
% left_division(Y,X))))))
% -> left_division(Y,X)
% Current number of equations to process: 2537
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [251]
% right_division(X,right_division(right_division(identity,left_division(Y,
% left_division(X,Y))),
% left_division(X,Y))) -> left_division(X,Y)
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [252]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 2532
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [253]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),Y)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [254]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,X)))) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 2529
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [255]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))),X)
% ->
% left_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% Current number of equations to process: 2528
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [256]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,Y)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 2527
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [257]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),Y)
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 2526
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [258]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,X)))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,X)))
% Current number of equations to process: 2525
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [259]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,X)))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,X)))))))
% Current number of equations to process: 2525
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [260]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,
% right_division(X,Y))),
% right_division(identity,Y))))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 2524
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [261]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 2523
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [262]
% right_division(left_division(Y,X),right_division(identity,right_division(
% right_division(identity,
% left_division(Y,
% left_division(Y,X))),
% right_division(identity,Y))))
% -> right_division(X,left_division(Y,left_division(Y,X)))
% Current number of equations to process: 2520
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [263]
% right_division(Y,right_division(identity,right_division(right_division(
% left_division(Y,X),Y),
% right_division(identity,right_division(X,Y)))))
% ->
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Y)
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [264]
% right_division(right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,left_division(X,Y))),right_division(identity,X))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 2518
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [265]
% right_division(left_division(X,right_division(left_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,X))))),X)
% ->
% left_division(X,right_division(left_division(X,Y),right_division(identity,Y)))
% Current number of equations to process: 2517
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [266]
% right_division(X,right_division(identity,right_division(right_division(
% left_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),X)))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 2516
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [267]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Y)))))),Y)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 2515
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [268]
% right_division(right_division(left_division(X,Y),right_division(X,right_division(identity,X))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(right_division(left_division(X,Y),X),right_division(identity,Y))
% Current number of equations to process: 2514
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [269]
% right_division(left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(X,
% right_division(identity,Y))))),X)
% ->
% left_division(X,right_division(Y,right_division(identity,right_division(Y,X))))
% Current number of equations to process: 2511
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [270]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),X)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 2510
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [271]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,right_division(
% left_division(Y,X),Y)))))
% ->
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Y)
% Current number of equations to process: 2506
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [272]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(X,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(X,Y))))
% Current number of equations to process: 2505
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [273]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(X,right_division(identity,
% right_division(Z,
% right_division(identity,X)))))),X)
% ->
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,Z))
% Current number of equations to process: 2500
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [274]
% right_division(right_division(right_division(X,right_division(identity,
% left_division(Y,Z))),right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),Y)
% ->
% right_division(X,right_division(identity,right_division(left_division(Y,Z),
% right_division(identity,Z))))
% Current number of equations to process: 2499
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [275]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,Z))),
% right_division(identity,right_division(Z,right_division(identity,Y)))),Z)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,Z)))))
% Current number of equations to process: 2498
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [276]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 2497
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [277]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Z,Y))))),
% right_division(Z,Y)) ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,Z))))
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [278]
% right_division(X,right_division(identity,left_division(left_division(Y,X),Z)))
% ->
% right_division(right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,
% left_division(Y,X))))),
% left_division(Y,X))
% Current number of equations to process: 2495
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [279]
% right_division(right_division(X,right_division(identity,right_division(
% left_division(Y,Z),
% right_division(identity,Z)))),
% left_division(Y,Z)) ->
% right_division(right_division(X,Y),right_division(identity,right_division(Z,
% right_division(identity,Y))))
% Current number of equations to process: 2494
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [280]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,Z))))
% Rule
% [238]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,Y)) collapsed.
% Current number of equations to process: 2493
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [281]
% right_division(right_division(Z,right_division(identity,right_division(
% left_division(Z,X),
% right_division(identity,Y)))),
% left_division(Z,X)) ->
% right_division(X,right_division(identity,right_division(Y,left_division(Z,X))))
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [282]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [283]
% right_division(right_division(left_division(X,Y),Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))
% <->
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,Z))
% Current number of equations to process: 2485
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [284]
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,Z)) <->
% right_division(right_division(left_division(X,Y),Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))
% Current number of equations to process: 2485
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [285]
% right_division(right_division(X,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,Z))
% Current number of equations to process: 2484
% Current number of ordered equations: 1
% Current number of rules: 100
% Rule [234]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(identity,X))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,X)) is composed into [234]
% right_division(right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,
% right_division(X,right_division(identity,X))))
% ->
% right_division(right_division(X,X),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,X))))))
% Rule [231]
% left_division(right_division(identity,X),Y) ->
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,X)) is composed into [231]
% left_division(right_division(identity,X),Y)
% ->
% right_division(right_division(X,X),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,X))))))
% New rule produced :
% [286]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,Z)) <->
% right_division(right_division(X,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))
% Rule
% [260]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,
% right_division(X,Y))),
% right_division(identity,Y))))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% collapsed.
% Current number of equations to process: 2485
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [287]
% right_division(right_division(X,left_division(Z,Y)),right_division(identity,
% right_division(left_division(Z,Y),
% right_division(identity,Y))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),Z)
% Current number of equations to process: 2484
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [288]
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),Y)
% Current number of equations to process: 2483
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [289]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),Y)
% <->
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))
% Rule
% [211]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),Y)
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [279]
% right_division(right_division(X,right_division(identity,right_division(
% left_division(Y,Z),
% right_division(identity,Z)))),
% left_division(Y,Z)) ->
% right_division(right_division(X,Y),right_division(identity,right_division(Z,
% right_division(identity,Y))))
% collapsed.
% Current number of equations to process: 2483
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [290]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Y,Z)))
% <->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y)))),Y)
% Current number of equations to process: 2482
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [291]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y)))),Y)
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Y,Z)))
% Rule
% [266]
% right_division(X,right_division(identity,right_division(right_division(
% left_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),X)))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [274]
% right_division(right_division(right_division(X,right_division(identity,
% left_division(Y,Z))),right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),Y)
% ->
% right_division(X,right_division(identity,right_division(left_division(Y,Z),
% right_division(identity,Z))))
% collapsed.
% Current number of equations to process: 2483
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [292]
% right_division(X,right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,X)))))
% -> right_division(Y,X)
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [293]
% right_division(right_division(X,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(Y,X))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(Y,X))))
% Current number of equations to process: 2477
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [294]
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,X)) <->
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,left_division(X,Y)))
% Current number of equations to process: 2474
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [295]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,left_division(X,Y))) <->
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,X))
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [296]
% left_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% ->
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 2469
% Current number of ordered equations: 0
% Current number of rules: 106
% Rule [296]
% left_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% ->
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))) is composed into 
% [296]
% left_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% New rule produced :
% [297]
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 2468
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [298]
% right_division(right_division(right_division(identity,left_division(X,
% left_division(X,Y))),
% right_division(identity,Y)),left_division(X,Y)) ->
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,X))
% Current number of equations to process: 2467
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [299]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(
% left_division(
% right_division(X,
% right_division(identity,X)),Y),
% right_division(identity,X))))))
% -> right_division(Y,right_division(identity,X))
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [300]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,X)),Y)
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [301]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z))
% Rule
% [276]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [302]
% right_division(X,right_division(identity,left_division(Y,left_division(Y,Z))))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(left_division(Y,Z),
% right_division(identity,Y)))),Y)
% Current number of equations to process: 2454
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [303]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(left_division(Y,Z),
% right_division(identity,Y)))),Y)
% <->
% right_division(X,right_division(identity,left_division(Y,left_division(Y,Z))))
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 112
% Rule [303]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(
% left_division(Y,Z),
% right_division(identity,Y)))),Y)
% <->
% right_division(X,right_division(identity,left_division(Y,left_division(Y,Z)))) is composed into 
% [303]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(left_division(Y,Z),
% right_division(identity,Y)))),Y)
% <->
% right_division(X,right_division(right_division(right_division(identity,
% left_division(Y,Z)),right_division(identity,Z)),
% left_division(Y,Z)))
% Rule [295]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,left_division(X,Y))) <->
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,X)) is composed into [295]
% right_division(right_division(identity,
% left_division(Y,
% left_division(X,Y))),
% left_division(X,left_division(X,Y)))
% ->
% right_division(right_division(
% right_division(
% right_division(identity,
% left_division(X,Y)),
% right_division(identity,Y)),
% left_division(X,Y)),
% right_division(identity,X))
% Rule [249]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y)) <->
% right_division(identity,left_division(X,left_division(X,Y))) is composed into 
% [249]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y)) ->
% right_division(right_division(right_division(identity,left_division(X,Y)),
% right_division(identity,Y)),left_division(X,Y))
% Rule [233]
% right_division(identity,left_division(Y,left_division(X,Y))) <->
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,left_division(X,Y))) is composed into [233]
% right_division(identity,
% left_division(Y,
% left_division(X,Y)))
% ->
% right_division(
% right_division(
% right_division(
% right_division(identity,
% left_division(X,Y)),
% right_division(identity,Y)),
% left_division(X,Y)),
% right_division(identity,
% left_division(X,Y)))
% New rule produced :
% [304]
% right_division(X,left_division(Y,left_division(Y,Z))) <->
% right_division(right_division(right_division(X,left_division(Y,Z)),right_division(identity,Z)),
% left_division(Y,Z))
% Rule
% [232]
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,left_division(X,Y))) <->
% right_division(identity,left_division(Y,left_division(X,Y))) collapsed.
% Rule
% [248]
% right_division(identity,left_division(X,left_division(X,Y))) <->
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y)) collapsed.
% Rule
% [262]
% right_division(left_division(Y,X),right_division(identity,right_division(
% right_division(identity,
% left_division(Y,
% left_division(Y,X))),
% right_division(identity,Y))))
% -> right_division(X,left_division(Y,left_division(Y,X))) collapsed.
% Rule
% [294]
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,X)) <->
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,left_division(X,Y))) collapsed.
% Rule
% [298]
% right_division(right_division(right_division(identity,left_division(X,
% left_division(X,Y))),
% right_division(identity,Y)),left_division(X,Y)) ->
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,X)) collapsed.
% Rule
% [302]
% right_division(X,right_division(identity,left_division(Y,left_division(Y,Z))))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(left_division(Y,Z),
% right_division(identity,Y)))),Y)
% collapsed.
% Current number of equations to process: 2456
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [305]
% right_division(right_division(right_division(X,left_division(Y,Z)),right_division(identity,Z)),
% left_division(Y,Z)) <-> right_division(X,left_division(Y,left_division(Y,Z)))
% Current number of equations to process: 2456
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [306]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% left_division(X,Z)))))
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))),X)))
% Current number of equations to process: 2454
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [307]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))),X)))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% left_division(X,Z)))))
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [308]
% left_division(X,right_division(Y,right_division(identity,left_division(X,Z))))
% <->
% right_division(left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(Z,
% right_division(identity,X))))),X)
% Rule
% [213]
% left_division(X,right_division(Y,right_division(identity,left_division(X,Y))))
% ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% collapsed.
% Current number of equations to process: 2454
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [309]
% right_division(left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(Z,
% right_division(identity,X))))),X)
% <->
% left_division(X,right_division(Y,right_division(identity,left_division(X,Z))))
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [310]
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))))
% -> right_division(identity,right_division(X,right_division(identity,X)))
% Current number of equations to process: 2453
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [311]
% right_division(X,right_division(Y,right_division(identity,X))) <->
% right_division(identity,Y)
% Rule
% [57]
% right_division(X,right_division(X,right_division(identity,X))) ->
% right_division(identity,X) collapsed.
% Current number of equations to process: 2452
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [312]
% right_division(identity,Y) <->
% right_division(X,right_division(Y,right_division(identity,X)))
% The conjecture has been reduced. 
% Conjecture is now:
% right_division(right_division(a,right_division(identity,left_division(
% right_division(c,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c))))),
% right_division(c,
% right_division(identity,
% right_division(c,
% right_division(identity,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c))))))))))),
% right_division(b,right_division(c,right_division(a,right_division(identity,c))))) = 
% right_division(a,right_division(identity,right_division(b,right_division(identity,
% right_division(a,
% right_division(identity,c))))))
% 
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [313]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))
% -> X
% Current number of equations to process: 2451
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [314]
% left_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(left_division(X,Y),right_division(identity,right_division(X,
% right_division(identity,X)))))
% -> X
% Current number of equations to process: 2442
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [315]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,X)))))
% -> X
% Current number of equations to process: 2441
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [316]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% -> X
% Current number of equations to process: 2438
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [317]
% right_division(identity,left_division(right_division(X,right_division(identity,Y)),
% right_division(right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(X,right_division(identity,X))))) -> X
% Current number of equations to process: 2437
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [318]
% right_division(right_division(identity,X),right_division(X,right_division(identity,X)))
% ->
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [319]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 2431
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [320]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))
% -> Y
% Rule
% [314]
% left_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(left_division(X,Y),right_division(identity,right_division(X,
% right_division(identity,X)))))
% -> X collapsed.
% Current number of equations to process: 2430
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [321]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% left_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),Y))
% -> Y
% Current number of equations to process: 2427
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [322]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(identity,Y)) ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 2424
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [323]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 2423
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [324]
% right_division(identity,left_division(right_division(X,right_division(identity,
% right_division(Y,X))),
% right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X)))))))
% -> X
% Current number of equations to process: 2422
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [325]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,X)))),
% right_division(identity,X)) -> identity
% Current number of equations to process: 2417
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [326]
% right_division(X,right_division(identity,right_division(left_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 2415
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [327]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(identity,X)) ->
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,X))))
% Current number of equations to process: 2414
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [328]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,Y))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 2413
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [329]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,Y)))) <->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,Y))))))
% Current number of equations to process: 2413
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [330]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,Y))))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 2412
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [331]
% right_division(left_division(X,right_division(right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))))),Z)),X)
% -> left_division(X,right_division(Y,right_division(identity,Z)))
% Current number of equations to process: 2411
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [332]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))))),Z),X)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Z))))
% Current number of equations to process: 2410
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [333]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,left_division(Y,Z))),Y) ->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y)))),
% right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 2407
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [334]
% right_division(right_division(right_division(X,Y),Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [335]
% right_division(left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))),X)
% -> left_division(X,right_division(Y,right_division(identity,Z)))
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [336]
% right_division(right_division(Y,right_division(identity,X)),right_division(Y,
% right_division(identity,Y)))
% ->
% right_division(Y,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))))
% Rule
% [242]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(X,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))))
% collapsed.
% Rule
% [317]
% right_division(identity,left_division(right_division(X,right_division(identity,Y)),
% right_division(right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(X,right_division(identity,X))))) -> X
% collapsed.
% Current number of equations to process: 2401
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [337]
% left_division(right_division(left_division(X,Y),right_division(identity,X)),
% left_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X))))))
% -> X
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [338]
% right_division(X,right_division(identity,right_division(left_division(X,Y),
% right_division(identity,right_division(
% left_division(Y,Z),
% right_division(identity,
% left_division(X,Y)))))))
% -> right_division(Z,right_division(identity,left_division(X,Y)))
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [339]
% left_division(left_division(X,Y),right_division(right_division(left_division(X,Y),X),
% right_division(identity,right_division(Y,X))))
% -> right_division(left_division(X,Y),X)
% Current number of equations to process: 2396
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [340]
% left_division(right_division(right_division(identity,left_division(X,Y)),
% right_division(identity,Y)),right_division(right_division(
% right_division(
% right_division(identity,
% left_division(X,Y)),
% right_division(identity,Y)),
% left_division(X,Y)),
% right_division(identity,X))) ->
% right_division(right_division(right_division(identity,left_division(X,Y)),
% right_division(identity,Y)),left_division(X,Y))
% Current number of equations to process: 2395
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [341]
% right_division(left_division(Y,X),Y) <->
% left_division(X,right_division(right_division(right_division(X,Y),right_division(identity,X)),Y))
% Current number of equations to process: 2390
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [342]
% left_division(X,right_division(right_division(right_division(X,Y),right_division(identity,X)),Y))
% <-> right_division(left_division(Y,X),Y)
% Current number of equations to process: 2390
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [343]
% left_division(X,right_division(left_division(Y,X),right_division(identity,
% right_division(right_division(
% right_division(
% right_division(identity,
% left_division(Y,X)),
% right_division(identity,X)),
% left_division(Y,X)),
% right_division(identity,Y)))))
% ->
% right_division(right_division(right_division(identity,left_division(Y,X)),
% right_division(identity,X)),left_division(Y,X))
% Current number of equations to process: 2389
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [344]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))
% -> X
% Current number of equations to process: 2384
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [345]
% right_division(identity,left_division(right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(right_division(X,right_division(identity,X)),Y)))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 2383
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [346]
% left_division(right_division(X,right_division(identity,X)),right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))
% -> Y
% Current number of equations to process: 2382
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [347]
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% left_division(
% right_division(Y,
% right_division(identity,Y)),X)))))
% -> X
% Current number of equations to process: 2381
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [348]
% right_division(identity,left_division(right_division(left_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,X)))),
% left_division(X,right_division(Y,right_division(identity,Y)))))
% -> X
% Current number of equations to process: 2380
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [349]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Z))))
% Current number of equations to process: 2379
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [350]
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% left_division(Z,
% right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% Current number of equations to process: 2378
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [351]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% <->
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% left_division(Z,
% right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 2378
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [352]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Z)))),
% right_division(identity,Y))
% Current number of equations to process: 2377
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [353]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Z)))),
% right_division(identity,Y)) <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Current number of equations to process: 2377
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [354]
% left_division(X,left_division(X,right_division(Y,right_division(identity,Y))))
% ->
% left_division(X,right_division(left_division(X,Y),right_division(identity,Y)))
% Current number of equations to process: 2376
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [355]
% left_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% -> Y
% Current number of equations to process: 2375
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [356]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),Y),
% right_division(identity,Z)) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Z))))
% Current number of equations to process: 2374
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [357]
% right_division(X,right_division(identity,left_division(Y,Z))) <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Z,right_division(identity,Y)))),Y)
% Rule [201] right_division(X,right_division(identity,left_division(X,Y))) -> Y
% collapsed.
% Rule
% [278]
% right_division(X,right_division(identity,left_division(left_division(Y,X),Z)))
% ->
% right_division(right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,
% left_division(Y,X))))),
% left_division(Y,X)) collapsed.
% Rule
% [306]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% left_division(X,Z)))))
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))),X)))
% collapsed.
% Rule
% [347]
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% left_division(
% right_division(Y,
% right_division(identity,Y)),X)))))
% -> X collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% right_division(right_division(right_division(right_division(a,right_division(c,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c)))))),
% right_division(identity,right_division(
% right_division(c,
% right_division(identity,
% right_division(c,
% right_division(identity,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c)))))))),
% right_division(identity,
% right_division(c,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c))))))))),
% right_division(c,right_division(b,right_division(c,right_division(a,
% right_division(identity,c)))))),
% right_division(b,right_division(c,right_division(a,right_division(identity,c))))) = 
% right_division(a,right_division(identity,right_division(b,right_division(identity,
% right_division(a,
% right_division(identity,c))))))
% 
% Current number of equations to process: 2374
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [358]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Z,right_division(identity,Y)))),Y)
% <-> right_division(X,right_division(identity,left_division(Y,Z)))
% Rule
% [307]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))),X)))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% left_division(X,Z)))))
% collapsed.
% Current number of equations to process: 2374
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [359]
% right_division(right_division(right_division(X,Z),right_division(identity,
% right_division(Z,right_division(identity,Y)))),Z)
% -> right_division(X,right_division(identity,right_division(Y,Z)))
% Rule
% [270]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),X)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% collapsed.
% Current number of equations to process: 2372
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [360]
% left_division(left_division(X,Y),left_division(X,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [361]
% left_division(right_division(left_division(X,Y),X),right_division(right_division(
% left_division(X,Y),
% right_division(identity,Y)),X))
% -> right_division(X,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 2367
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [362]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% left_division(Y,Z),
% right_division(identity,Y))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),Y)
% Current number of equations to process: 2365
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [363]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),Y)
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% left_division(Y,Z),
% right_division(identity,Y))))
% Current number of equations to process: 2365
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [364]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3)),right_division(identity,Y)) ->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [365]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,left_division(Y,X)))))
% ->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(X,right_division(identity,Y)))),Y)
% Rule
% [250]
% left_division(X,right_division(Y,right_division(identity,right_division(
% left_division(Y,X),
% right_division(identity,
% left_division(Y,X))))))
% -> left_division(Y,X) collapsed.
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 156
% Rule [259]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,X)))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(Y,X))))))) is composed into 
% [259]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,X)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% New rule produced :
% [366]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,Y)))))
% -> right_division(X,right_division(identity,right_division(X,Y)))
% Rule
% [258]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,X)))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,X)))
% collapsed.
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [367]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,X))),
% right_division(identity,Z)),right_division(identity,right_division(Y,X)))
% ->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [368]
% left_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(X,
% right_division(identity,X))))
% Rule
% [321]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% left_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),Y))
% -> Y collapsed.
% Rule
% [337]
% left_division(right_division(left_division(X,Y),right_division(identity,X)),
% left_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X))))))
% -> X collapsed.
% Rule
% [360]
% left_division(left_division(X,Y),left_division(X,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [369]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [370]
% left_division(X,right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(X,
% right_division(identity,Y)))),Y))
% <-> left_division(Y,X)
% Current number of equations to process: 2349
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [371]
% left_division(Y,X) <->
% left_division(X,right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(X,
% right_division(identity,Y)))),Y))
% Current number of equations to process: 2349
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [372]
% left_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(left_division(X,Y),right_division(identity,Y))) ->
% left_division(X,Y)
% Current number of equations to process: 2348
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [373]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 2347
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [374]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(X,right_division(identity,Y))),right_division(X,
% right_division(X,
% right_division(identity,Y))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 2344
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [375]
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [376]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 2331
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [377]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,Y)) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% Current number of equations to process: 2330
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [378]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [379]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% Current number of equations to process: 2326
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [380]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,right_division(identity,X)))) ->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 2324
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [381]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,X)),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 2324
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [382]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,Y)) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% Current number of equations to process: 2323
% Current number of ordered equations: 0
% Current number of rules: 169
% Rule [376]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(X,right_division(identity,X))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))) is composed into 
% [376]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% New rule produced :
% [383]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% Current number of equations to process: 2321
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [384]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [385]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),Y)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [386]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(X,right_division(identity,X)))),
% right_division(identity,Y)),right_division(identity,X)) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [387]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(identity,right_division(X,right_division(identity,Y)))),
% right_division(identity,X)) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 2311
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [388]
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(right_division(right_division(identity,left_division(X,Y)),
% right_division(identity,Y)),left_division(X,Y))) ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% Current number of equations to process: 2310
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [389]
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% left_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 2309
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [390]
% right_division(right_division(Y,X),right_division(identity,right_division(
% right_division(identity,
% right_division(
% left_division(X,Y),X)),
% right_division(identity,X))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(left_division(X,Y),X))
% Current number of equations to process: 2308
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [391]
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(X,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% Current number of equations to process: 2307
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [392]
% right_division(right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z)),right_division(identity,X)) ->
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,right_division(Z,
% right_division(identity,X))))))
% Current number of equations to process: 2306
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [393]
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,left_division(X,Y))) ->
% right_division(left_division(X,Y),right_division(identity,Y))
% Rule
% [264]
% right_division(right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,left_division(X,Y))),right_division(identity,X))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% collapsed.
% Current number of equations to process: 2306
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [394]
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),
% right_division(identity,X)) ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 2305
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [395]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(X,right_division(identity,X))) ->
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),X)
% Current number of equations to process: 2304
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [396]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,Y)))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,Y)))))
% Current number of equations to process: 2302
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [397]
% right_division(right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z)),right_division(identity,Y)) ->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 2302
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [398]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),Y)
% Current number of equations to process: 2300
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [399]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(X,right_division(X,right_division(identity,Y)))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(X,
% right_division(identity,Y)))))))
% Current number of equations to process: 2297
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [400]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 186
% Rule [385]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),Y) is composed into 
% [385]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,Y)))
% Rule [288]
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),Y) is composed into 
% [288]
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,Y)))
% New rule produced :
% [401]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,Y)))
% Rule
% [205]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [241]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))),X)))
% ->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,Z))))
% collapsed.
% Rule
% [253]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),Y)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% collapsed.
% Rule
% [257]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),Y)
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% collapsed.
% Rule
% [267]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Y)))))),Y)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% collapsed.
% Rule
% [273]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(X,right_division(identity,
% right_division(Z,
% right_division(identity,X)))))),X)
% ->
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,Z)) collapsed.
% Rule
% [275]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,Z))),
% right_division(identity,right_division(Z,right_division(identity,Y)))),Z)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,Z)))))
% collapsed.
% Rule
% [280]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,Z))))
% collapsed.
% Rule
% [281]
% right_division(right_division(Z,right_division(identity,right_division(
% left_division(Z,X),
% right_division(identity,Y)))),
% left_division(Z,X)) ->
% right_division(X,right_division(identity,right_division(Y,left_division(Z,X))))
% collapsed.
% Rule
% [289]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),Y)
% <->
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))
% collapsed.
% Rule
% [330]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,Y))))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(Y,
% right_division(identity,Y)))))
% collapsed.
% Rule
% [331]
% right_division(left_division(X,right_division(right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))))),Z)),X)
% -> left_division(X,right_division(Y,right_division(identity,Z))) collapsed.
% Rule
% [332]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))))),Z),X)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Z))))
% collapsed.
% Rule
% [349]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Z))))
% collapsed.
% Rule
% [356]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),Y),
% right_division(identity,Z)) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Z))))
% collapsed.
% Rule
% [359]
% right_division(right_division(right_division(X,Z),right_division(identity,
% right_division(Z,right_division(identity,Y)))),Z)
% -> right_division(X,right_division(identity,right_division(Y,Z))) collapsed.
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [402]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,Y)) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% Rule
% [367]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,X))),
% right_division(identity,Z)),right_division(identity,right_division(Y,X)))
% ->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% collapsed.
% Current number of equations to process: 2296
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [403]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),X)))
% <-> right_division(right_division(X,Y),X)
% Current number of equations to process: 2300
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [404]
% right_division(right_division(X,Y),X) <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),X)))
% Current number of equations to process: 2300
% Current number of ordered equations: 0
% Current number of rules: 173
% Rule [300]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,X)),Y) is composed into 
% [300]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(X,right_division(identity,right_division(X,Y)))
% New rule produced :
% [405]
% right_division(right_division(X,right_division(identity,X)),Y) ->
% right_division(X,right_division(identity,right_division(X,Y)))
% Rule
% [214]
% right_division(right_division(X,right_division(identity,X)),right_division(identity,Y))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,Y))))
% collapsed.
% Rule
% [224]
% right_division(right_division(X,right_division(identity,X)),right_division(
% left_division(Y,X),
% right_division(identity,X)))
% -> Y collapsed.
% Rule
% [345]
% right_division(identity,left_division(right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(right_division(X,right_division(identity,X)),Y)))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [406]
% right_division(left_division(X,Y),right_division(identity,left_division(Y,X)))
% -> identity
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [407]
% right_division(right_division(X,left_division(Y,Z)),left_division(Z,Y)) -> X
% Current number of equations to process: 2350
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [408]
% right_division(X,right_division(left_division(Y,X),left_division(X,Y))) ->
% right_division(Y,left_division(Y,X))
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [409]
% right_division(X,right_division(identity,right_division(left_division(Z,Y),X)))
% <-> right_division(right_division(X,left_division(Y,Z)),X)
% Current number of equations to process: 2394
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [410]
% right_division(right_division(X,left_division(Y,Z)),X) <->
% right_division(X,right_division(identity,right_division(left_division(Z,Y),X)))
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [411]
% left_division(right_division(X,Y),right_division(X,right_division(Y,right_division(identity,Y))))
% -> right_division(identity,Y)
% Rule
% [223]
% right_division(identity,left_division(right_division(X,Y),right_division(X,
% right_division(Y,
% right_division(identity,Y)))))
% -> Y collapsed.
% Current number of equations to process: 2393
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [412]
% right_division(X,right_division(identity,right_division(right_division(identity,
% left_division(Y,X)),X)))
% -> right_division(Y,X)
% Current number of equations to process: 2392
% Current number of ordered equations: 0
% Current number of rules: 177
% Rule [351]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% <->
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% left_division(Z,
% right_division(Y,
% right_division(identity,Y))))) is composed into 
% [351]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% <->
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(
% left_division(Z,Y),
% right_division(identity,Y))))
% New rule produced :
% [413]
% left_division(X,right_division(Y,right_division(identity,Y))) ->
% right_division(left_division(X,Y),right_division(identity,Y))
% Rule
% [348]
% right_division(identity,left_division(right_division(left_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,X)))),
% left_division(X,right_division(Y,right_division(identity,Y)))))
% -> X collapsed.
% Rule
% [350]
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% left_division(Z,
% right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% collapsed.
% Rule
% [354]
% left_division(X,left_division(X,right_division(Y,right_division(identity,Y))))
% ->
% left_division(X,right_division(left_division(X,Y),right_division(identity,Y)))
% collapsed.
% Current number of equations to process: 2417
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [414]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,X)) -> right_division(identity,Y)
% Rule
% [325]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,X)))),
% right_division(identity,X)) -> identity collapsed.
% Current number of equations to process: 2428
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [415]
% right_division(right_division(identity,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% -> X
% Current number of equations to process: 2499
% Current number of ordered equations: 0
% Current number of rules: 176
% Rule [342]
% left_division(X,right_division(right_division(right_division(X,Y),
% right_division(identity,X)),Y)) <->
% right_division(left_division(Y,X),Y) is composed into [342]
% left_division(X,
% right_division(
% right_division(
% right_division(X,Y),
% right_division(identity,X)),Y))
% ->
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),Y)
% Rule [308]
% left_division(X,right_division(Y,right_division(identity,left_division(X,Z))))
% <->
% right_division(left_division(X,right_division(right_division(Y,X),
% right_division(identity,right_division(Z,
% right_division(identity,X))))),X) is composed into 
% [308]
% left_division(X,right_division(Y,right_division(identity,left_division(X,Z))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))),X)
% Rule [268]
% right_division(right_division(left_division(X,Y),right_division(X,
% right_division(identity,X))),
% right_division(identity,right_division(X,right_division(identity,Y))))
% ->
% right_division(right_division(left_division(X,Y),X),right_division(identity,Y)) is composed into 
% [268]
% right_division(right_division(left_division(X,Y),right_division(X,right_division(identity,X))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),X),right_division(identity,Y))
% Rule [246]
% left_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,Z))) <->
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))),X) is composed into 
% [246]
% left_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,Z))) ->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))),X)
% Rule [230]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),Y)
% <->
% right_division(X,right_division(identity,right_division(left_division(Y,Z),Y))) is composed into 
% [230]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),Y)
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),
% right_division(identity,Z)),Y)))
% Rule [43]
% left_division(X,right_division(Y,X)) ->
% right_division(left_division(X,Y),X) is composed into [43]
% left_division(X,
% right_division(Y,X))
% ->
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),X)
% New rule produced :
% [416]
% right_division(left_division(X,Y),X) ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),X)
% Rule
% [50]
% right_division(right_division(X,Y),right_division(left_division(Y,X),Y)) -> Y
% collapsed.
% Rule
% [229]
% right_division(X,right_division(identity,right_division(left_division(Y,Z),Y)))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),Y)
% collapsed.
% Rule
% [247]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(X,right_division(identity,
% right_division(Z,
% right_division(identity,X))))))),X)
% <->
% left_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,Z))) collapsed.
% Rule
% [255]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))),X)
% ->
% left_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% collapsed.
% Rule
% [263]
% right_division(Y,right_division(identity,right_division(right_division(
% left_division(Y,X),Y),
% right_division(identity,right_division(X,Y)))))
% ->
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Y)
% collapsed.
% Rule
% [265]
% right_division(left_division(X,right_division(left_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,X))))),X)
% ->
% left_division(X,right_division(left_division(X,Y),right_division(identity,Y)))
% collapsed.
% Rule
% [269]
% right_division(left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(X,
% right_division(identity,Y))))),X)
% ->
% left_division(X,right_division(Y,right_division(identity,right_division(Y,X))))
% collapsed.
% Rule
% [271]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,right_division(
% left_division(Y,X),Y)))))
% ->
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Y)
% collapsed.
% Rule
% [297]
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% collapsed.
% Rule
% [309]
% right_division(left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(Z,
% right_division(identity,X))))),X)
% <->
% left_division(X,right_division(Y,right_division(identity,left_division(X,Z))))
% collapsed.
% Rule
% [335]
% right_division(left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))),X)
% -> left_division(X,right_division(Y,right_division(identity,Z))) collapsed.
% Rule
% [339]
% left_division(left_division(X,Y),right_division(right_division(left_division(X,Y),X),
% right_division(identity,right_division(Y,X))))
% -> right_division(left_division(X,Y),X) collapsed.
% Rule
% [341]
% right_division(left_division(Y,X),Y) <->
% left_division(X,right_division(right_division(right_division(X,Y),right_division(identity,X)),Y))
% collapsed.
% Rule
% [361]
% left_division(right_division(left_division(X,Y),X),right_division(right_division(
% left_division(X,Y),
% right_division(identity,Y)),X))
% -> right_division(X,right_division(identity,right_division(Y,X))) collapsed.
% Rule
% [375]
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% collapsed.
% Rule
% [390]
% right_division(right_division(Y,X),right_division(identity,right_division(
% right_division(identity,
% right_division(
% left_division(X,Y),X)),
% right_division(identity,X))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(left_division(X,Y),X)) collapsed.
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [417]
% right_division(right_division(X,Y),right_division(right_division(right_division(identity,Y),
% right_division(identity,X)),Y))
% -> Y
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [418]
% right_division(Y,right_division(identity,right_division(right_division(identity,Y),X)))
% -> right_division(identity,X)
% Rule
% [292]
% right_division(X,right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,X)))))
% -> right_division(Y,X) collapsed.
% Current number of equations to process: 2591
% Current number of ordered equations: 0
% Current number of rules: 162
% Rule [363]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),Y)
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% left_division(Y,Z),
% right_division(identity,Y)))) is composed into 
% [363]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),Y)
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)),
% right_division(identity,Y))))
% Rule [358]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),Y)
% <-> right_division(X,right_division(identity,left_division(Y,Z))) is composed into 
% [358]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Z,right_division(identity,Y)))),Y)
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,Z))))
% Rule [351]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% <->
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(
% left_division(Z,Y),
% right_division(identity,Y)))) is composed into 
% [351]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% <->
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,Y))))
% Rule [291]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y)))),Y)
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Y,Z))) is composed into 
% [291]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y)))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))
% Rule [228]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),X)
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,left_division(X,Z))) is composed into [228]
% right_division(
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))),X)
% ->
% right_division(
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Z))))
% New rule produced :
% [419]
% left_division(X,Y) ->
% right_division(right_division(identity,X),right_division(identity,Y))
% Rule [16] left_division(X,X) -> identity collapsed.
% Rule [17] left_division(identity,X) -> X collapsed.
% Rule [20] right_division(X,left_division(Y,X)) -> Y collapsed.
% Rule [42] left_division(X,identity) -> right_division(identity,X) collapsed.
% Rule
% [43]
% left_division(X,right_division(Y,X)) ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),X)
% collapsed.
% Rule
% [107]
% left_division(X,right_division(Y,right_division(X,right_division(identity,X))))
% ->
% right_division(left_division(X,Y),right_division(X,right_division(identity,X)))
% collapsed.
% Rule
% [127]
% right_division(X,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X)))) ->
% right_division(Y,left_division(Y,X)) collapsed.
% Rule
% [207]
% left_division(X,right_division(Y,right_division(identity,X))) ->
% right_division(left_division(X,Y),right_division(identity,X)) collapsed.
% Rule
% [208]
% left_division(right_division(X,Y),right_division(X,right_division(identity,Y)))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Rule [215] right_division(identity,left_division(Y,X)) <-> left_division(X,Y)
% collapsed.
% Rule [216] left_division(X,Y) <-> right_division(identity,left_division(Y,X))
% collapsed.
% Rule [218] left_division(X,right_division(X,Y)) -> right_division(identity,Y)
% collapsed.
% Rule
% [220]
% right_division(right_division(X,Y),right_division(right_division(identity,
% left_division(X,Y)),Y)) ->
% Y collapsed.
% Rule
% [222]
% right_division(identity,left_division(Y,right_division(X,left_division(X,Y))))
% ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% collapsed.
% Rule
% [226]
% left_division(right_division(X,right_division(identity,left_division(Y,Z))),
% right_division(right_division(X,Y),right_division(identity,right_division(Z,
% right_division(identity,Y)))))
% -> Y collapsed.
% Rule
% [227]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,left_division(X,Z))) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),X)
% collapsed.
% Rule
% [231]
% left_division(right_division(identity,X),Y) ->
% right_division(right_division(X,X),right_division(identity,right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,X))))))
% collapsed.
% Rule
% [233]
% right_division(identity,left_division(Y,left_division(X,Y))) ->
% right_division(right_division(right_division(right_division(identity,
% left_division(X,Y)),right_division(identity,Y)),
% left_division(X,Y)),right_division(identity,left_division(X,Y)))
% collapsed.
% Rule
% [236]
% right_division(Z,right_division(identity,right_division(left_division(Z,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% left_division(Z,X)))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Z,X)))
% collapsed.
% Rule
% [237]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Z,X)))
% <->
% right_division(Z,right_division(identity,right_division(left_division(Z,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% left_division(Z,X)))))))
% collapsed.
% Rule
% [246]
% left_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,Z))) ->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))),X)
% collapsed.
% Rule
% [249]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y)) ->
% right_division(right_division(right_division(identity,left_division(X,Y)),
% right_division(identity,Y)),left_division(X,Y)) collapsed.
% Rule
% [251]
% right_division(X,right_division(right_division(identity,left_division(Y,
% left_division(X,Y))),
% left_division(X,Y))) -> left_division(X,Y) collapsed.
% Rule
% [254]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,X)))) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule
% [261]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% collapsed.
% Rule
% [268]
% right_division(right_division(left_division(X,Y),right_division(X,right_division(identity,X))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),X),right_division(identity,Y))
% collapsed.
% Rule
% [283]
% right_division(right_division(left_division(X,Y),Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))
% <->
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,Z)) collapsed.
% Rule
% [284]
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,Z)) <->
% right_division(right_division(left_division(X,Y),Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))
% collapsed.
% Rule
% [287]
% right_division(right_division(X,left_division(Z,Y)),right_division(identity,
% right_division(left_division(Z,Y),
% right_division(identity,Y))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),Z)
% collapsed.
% Rule
% [290]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Y,Z)))
% <->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y)))),Y)
% collapsed.
% Rule
% [295]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,left_division(X,Y))) ->
% right_division(right_division(right_division(right_division(identity,
% left_division(X,Y)),right_division(identity,Y)),
% left_division(X,Y)),right_division(identity,X)) collapsed.
% Rule
% [296]
% left_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% collapsed.
% Rule
% [299]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(
% left_division(
% right_division(X,
% right_division(identity,X)),Y),
% right_division(identity,X))))))
% -> right_division(Y,right_division(identity,X)) collapsed.
% Rule
% [303]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(left_division(Y,Z),
% right_division(identity,Y)))),Y)
% <->
% right_division(X,right_division(right_division(right_division(identity,
% left_division(Y,Z)),right_division(identity,Z)),
% left_division(Y,Z))) collapsed.
% Rule
% [304]
% right_division(X,left_division(Y,left_division(Y,Z))) <->
% right_division(right_division(right_division(X,left_division(Y,Z)),right_division(identity,Z)),
% left_division(Y,Z)) collapsed.
% Rule
% [305]
% right_division(right_division(right_division(X,left_division(Y,Z)),right_division(identity,Z)),
% left_division(Y,Z)) <-> right_division(X,left_division(Y,left_division(Y,Z)))
% collapsed.
% Rule
% [308]
% left_division(X,right_division(Y,right_division(identity,left_division(X,Z))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))),X)
% collapsed.
% Rule
% [313]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))
% -> X collapsed.
% Rule
% [315]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,X)))))
% -> X collapsed.
% Rule
% [316]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% -> X collapsed.
% Rule
% [319]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [320]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))
% -> Y collapsed.
% Rule
% [323]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [324]
% right_division(identity,left_division(right_division(X,right_division(identity,
% right_division(Y,X))),
% right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X)))))))
% -> X collapsed.
% Rule
% [326]
% right_division(X,right_division(identity,right_division(left_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Rule
% [327]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(identity,X)) ->
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,X))))
% collapsed.
% Rule
% [333]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,left_division(Y,Z))),Y) ->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y)))),
% right_division(Y,right_division(identity,Y))) collapsed.
% Rule
% [338]
% right_division(X,right_division(identity,right_division(left_division(X,Y),
% right_division(identity,right_division(
% left_division(Y,Z),
% right_division(identity,
% left_division(X,Y)))))))
% -> right_division(Z,right_division(identity,left_division(X,Y))) collapsed.
% Rule
% [340]
% left_division(right_division(right_division(identity,left_division(X,Y)),
% right_division(identity,Y)),right_division(right_division(
% right_division(
% right_division(identity,
% left_division(X,Y)),
% right_division(identity,Y)),
% left_division(X,Y)),
% right_division(identity,X))) ->
% right_division(right_division(right_division(identity,left_division(X,Y)),
% right_division(identity,Y)),left_division(X,Y)) collapsed.
% Rule
% [342]
% left_division(X,right_division(right_division(right_division(X,Y),right_division(identity,X)),Y))
% ->
% right_division(right_division(right_division(identity,Y),right_division(identity,X)),Y)
% collapsed.
% Rule
% [343]
% left_division(X,right_division(left_division(Y,X),right_division(identity,
% right_division(right_division(
% right_division(
% right_division(identity,
% left_division(Y,X)),
% right_division(identity,X)),
% left_division(Y,X)),
% right_division(identity,Y)))))
% ->
% right_division(right_division(right_division(identity,left_division(Y,X)),
% right_division(identity,X)),left_division(Y,X)) collapsed.
% Rule
% [344]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))
% -> X collapsed.
% Rule
% [346]
% left_division(right_division(X,right_division(identity,X)),right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))
% -> Y collapsed.
% Rule
% [355]
% left_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% -> Y collapsed.
% Rule
% [357]
% right_division(X,right_division(identity,left_division(Y,Z))) <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Z,right_division(identity,Y)))),Y)
% collapsed.
% Rule
% [362]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% left_division(Y,Z),
% right_division(identity,Y))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),Y)
% collapsed.
% Rule
% [365]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,left_division(Y,X)))))
% ->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(X,right_division(identity,Y)))),Y)
% collapsed.
% Rule
% [368]
% left_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(X,
% right_division(identity,X))))
% collapsed.
% Rule
% [370]
% left_division(X,right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(X,
% right_division(identity,Y)))),Y))
% <-> left_division(Y,X) collapsed.
% Rule
% [371]
% left_division(Y,X) <->
% left_division(X,right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(X,
% right_division(identity,Y)))),Y))
% collapsed.
% Rule
% [372]
% left_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(left_division(X,Y),right_division(identity,Y))) ->
% left_division(X,Y) collapsed.
% Rule
% [373]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [388]
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(right_division(right_division(identity,left_division(X,Y)),
% right_division(identity,Y)),left_division(X,Y))) ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% collapsed.
% Rule
% [389]
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% left_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Rule
% [392]
% right_division(right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z)),right_division(identity,X)) ->
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,right_division(Z,
% right_division(identity,X))))))
% collapsed.
% Rule
% [393]
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,left_division(X,Y))) ->
% right_division(left_division(X,Y),right_division(identity,Y)) collapsed.
% Rule
% [394]
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),
% right_division(identity,X)) ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% collapsed.
% Rule
% [395]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(X,right_division(identity,X))) ->
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),X)
% collapsed.
% Rule
% [406]
% right_division(left_division(X,Y),right_division(identity,left_division(Y,X)))
% -> identity collapsed.
% Rule
% [407]
% right_division(right_division(X,left_division(Y,Z)),left_division(Z,Y)) -> X
% collapsed.
% Rule
% [408]
% right_division(X,right_division(left_division(Y,X),left_division(X,Y))) ->
% right_division(Y,left_division(Y,X)) collapsed.
% Rule
% [409]
% right_division(X,right_division(identity,right_division(left_division(Z,Y),X)))
% <-> right_division(right_division(X,left_division(Y,Z)),X) collapsed.
% Rule
% [410]
% right_division(right_division(X,left_division(Y,Z)),X) <->
% right_division(X,right_division(identity,right_division(left_division(Z,Y),X)))
% collapsed.
% Rule
% [411]
% left_division(right_division(X,Y),right_division(X,right_division(Y,right_division(identity,Y))))
% -> right_division(identity,Y) collapsed.
% Rule
% [412]
% right_division(X,right_division(identity,right_division(right_division(identity,
% left_division(Y,X)),X)))
% -> right_division(Y,X) collapsed.
% Rule
% [413]
% left_division(X,right_division(Y,right_division(identity,Y))) ->
% right_division(left_division(X,Y),right_division(identity,Y)) collapsed.
% Rule
% [416]
% right_division(left_division(X,Y),X) ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),X)
% collapsed.
% Current number of equations to process: 2647
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [420]
% right_division(right_division(identity,X),right_division(identity,right_division(X,Y)))
% -> right_division(identity,Y)
% Rule
% [415]
% right_division(right_division(identity,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% -> X collapsed.
% Current number of equations to process: 2646
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [421]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,X)))
% <-> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 2645
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [422]
% right_division(right_division(identity,X),right_division(identity,Y)) <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,X)))
% Rule
% [414]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,X)) -> right_division(identity,Y) collapsed.
% Current number of equations to process: 2645
% Current number of ordered equations: 0
% Current number of rules: 87
% Rule [230]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),Y)
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),
% right_division(identity,Z)),Y))) is composed into 
% [230]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),Y)
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,Y)))))
% New rule produced :
% [423]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),X)
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,X)))
% Rule
% [417]
% right_division(right_division(X,Y),right_division(right_division(right_division(identity,Y),
% right_division(identity,X)),Y))
% -> Y collapsed.
% Current number of equations to process: 2652
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [424]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,Z))),X),
% right_division(right_division(right_division(identity,Z),right_division(identity,Y)),X))
% -> X
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [425]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,Y)) -> right_division(X,right_division(identity,X))
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [426]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,Y)))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% Current number of equations to process: 2686
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [427]
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,Y)))))
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 91
% Rule [329]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,Y))))
% <->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,Y)))))) is composed into 
% [329]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,Y)))) <->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% New rule produced :
% [428]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,X))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Rule
% [256]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,Y)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [328]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,Y))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,Y))))
% collapsed.
% Rule
% [381]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,X)),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% collapsed.
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [429]
% right_division(right_division(X,right_division(identity,Y)),right_division(X,Y))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(X,Y))))
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [430]
% right_division(right_division(X,right_division(Y,X)),right_division(identity,Y))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 91
% Rule [400]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,right_division(X,right_division(identity,Y))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))) is composed into 
% [400]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,Y))))
% New rule produced :
% [431]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% -> right_division(X,right_division(identity,X))
% Rule
% [397]
% right_division(right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z)),right_division(identity,Y)) ->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [398]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),Y)
% collapsed.
% Current number of equations to process: 2942
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [432]
% right_division(right_division(identity,X),right_division(Y,X)) ->
% right_division(identity,Y)
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 91
% Rule [403]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),X)))
% <-> right_division(right_division(X,Y),X) is composed into [403]
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),X)))
% <->
% right_division(identity,
% right_division(X,
% right_division(X,Y)))
% New rule produced :
% [433] right_division(X,Y) <-> right_division(identity,right_division(Y,X))
% Rule
% [35]
% right_division(right_division(X,Y),Y) ->
% right_division(X,right_division(Y,right_division(identity,Y))) collapsed.
% Rule
% [54]
% right_division(identity,right_division(right_division(identity,X),X)) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule
% [67]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),Y)
% ->
% right_division(right_division(X,Y),right_division(Y,right_division(identity,Y)))
% collapsed.
% Rule
% [204] right_division(right_division(X,right_division(identity,Y)),Y) -> X
% collapsed.
% Rule
% [206]
% right_division(right_division(X,right_division(identity,Y)),X) ->
% right_division(X,right_division(identity,right_division(Y,X))) collapsed.
% Rule
% [209]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,Y)) -> right_division(X,Y) collapsed.
% Rule
% [221]
% right_division(right_division(right_division(X,Y),X),right_division(right_division(identity,Y),X))
% -> X collapsed.
% Rule
% [225]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),Y)
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [228]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),X)
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Z))))
% collapsed.
% Rule
% [230]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),Y)
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,Y)))))
% collapsed.
% Rule
% [234]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(right_division(X,X),right_division(identity,right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,X))))))
% collapsed.
% Rule
% [243]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),
% right_division(identity,Y)) ->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [244]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(Y,right_division(identity,Y))) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),Y) collapsed.
% Rule
% [245]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),Y) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(Y,right_division(identity,Y))) collapsed.
% Rule
% [277]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Z,Y))))),
% right_division(Z,Y)) ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,Z))))
% collapsed.
% Rule
% [291]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y)))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))
% collapsed.
% Rule
% [301]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),Y)
% ->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z)) collapsed.
% Rule
% [322]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(identity,Y)) ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,Y))))
% collapsed.
% Rule
% [351]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),Z)
% <->
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,Y))))
% collapsed.
% Rule
% [358]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Z,right_division(identity,Y)))),Y)
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,Z))))
% collapsed.
% Rule
% [363]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),Y)
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)),
% right_division(identity,Y))))
% collapsed.
% Rule
% [364]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3)),right_division(identity,Y)) ->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [374]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(X,right_division(identity,Y))),right_division(X,
% right_division(X,
% right_division(identity,Y))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [377]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,Y)) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [379]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [380]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,right_division(identity,X)))) ->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% collapsed.
% Rule
% [382]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,Y)) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [385]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,Y)))
% collapsed.
% Rule
% [386]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(X,right_division(identity,X)))),
% right_division(identity,Y)),right_division(identity,X)) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% collapsed.
% Rule
% [387]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,right_division(identity,X)))),
% right_division(identity,right_division(X,right_division(identity,Y)))),
% right_division(identity,X)) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% collapsed.
% Rule
% [401]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),Y)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,Y)))
% collapsed.
% Rule
% [402]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,Y)) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [404]
% right_division(right_division(X,Y),X) <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),X)))
% collapsed.
% Rule
% [422]
% right_division(right_division(identity,X),right_division(identity,Y)) <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,X)))
% collapsed.
% Rule
% [423]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),X)
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,X)))
% collapsed.
% Rule
% [424]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,Z))),X),
% right_division(right_division(right_division(identity,Z),right_division(identity,Y)),X))
% -> X collapsed.
% Rule
% [425]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,Y)) -> right_division(X,right_division(identity,X))
% collapsed.
% Rule
% [429]
% right_division(right_division(X,right_division(identity,Y)),right_division(X,Y))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(X,Y))))
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% right_division(identity,right_division(right_division(b,right_division(c,
% right_division(a,
% right_division(identity,c)))),
% right_division(identity,right_division(right_division(c,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c))))),
% right_division(right_division(a,
% right_division(c,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c)))))),
% right_division(right_division(identity,
% right_division(c,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c)))))),
% right_division(c,right_division(identity,
% right_division(c,
% right_division(identity,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c)))))))))))))) = 
% right_division(a,right_division(identity,right_division(b,right_division(identity,
% right_division(a,
% right_division(identity,c))))))
% 
% Current number of equations to process: 3480
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [434]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,Y))))
% -> X
% Current number of equations to process: 3478
% Current number of ordered equations: 3
% Current number of rules: 55
% New rule produced :
% [435]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))
% Current number of equations to process: 744
% Current number of ordered equations: 1104
% Current number of rules: 56
% New rule produced :
% [436]
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 744
% Current number of ordered equations: 1103
% Current number of rules: 57
% New rule produced :
% [437] right_division(identity,right_division(Y,X)) <-> right_division(X,Y)
% Rule
% [421]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,X)))
% <-> right_division(right_division(identity,X),right_division(identity,Y))
% collapsed.
% Current number of equations to process: 744
% Current number of ordered equations: 1080
% Current number of rules: 57
% New rule produced :
% [438]
% right_division(X,right_division(Y,right_division(identity,Y))) <->
% right_division(identity,right_division(Y,right_division(X,Y)))
% Rule
% [210]
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,Y)))
% -> right_division(X,Y) collapsed.
% Rule
% [300]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(Y,right_division(identity,Y))) ->
% right_division(X,right_division(identity,right_division(X,Y))) collapsed.
% Rule
% [318]
% right_division(right_division(identity,X),right_division(X,right_division(identity,X)))
% ->
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))))
% collapsed.
% Rule
% [336]
% right_division(right_division(Y,right_division(identity,X)),right_division(Y,
% right_division(identity,Y)))
% ->
% right_division(Y,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))))
% collapsed.
% Current number of equations to process: 771
% Current number of ordered equations: 1013
% Current number of rules: 54
% New rule produced :
% [439]
% right_division(identity,right_division(Y,right_division(X,Y))) <->
% right_division(X,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 780
% Current number of ordered equations: 1002
% Current number of rules: 55
% New rule produced :
% [440]
% right_division(X,right_division(X,right_division(identity,Y))) <->
% right_division(identity,right_division(X,right_division(X,Y)))
% Current number of equations to process: 794
% Current number of ordered equations: 982
% Current number of rules: 56
% New rule produced :
% [441]
% right_division(identity,right_division(X,right_division(X,Y))) <->
% right_division(X,right_division(X,right_division(identity,Y)))
% Current number of equations to process: 794
% Current number of ordered equations: 981
% Current number of rules: 57
% New rule produced :
% [442]
% right_division(right_division(X,Y),right_division(Z,right_division(Y,
% right_division(identity,Z))))
% -> X
% Current number of equations to process: 794
% Current number of ordered equations: 979
% Current number of rules: 58
% New rule produced :
% [443]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(identity,Y)) -> identity
% Current number of equations to process: 794
% Current number of ordered equations: 977
% Current number of rules: 59
% New rule produced :
% [444]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,X))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 794
% Current number of ordered equations: 976
% Current number of rules: 60
% New rule produced :
% [445]
% right_division(right_division(identity,Y),X) <->
% right_division(right_division(identity,X),right_division(X,right_division(X,Y)))
% Current number of equations to process: 794
% Current number of ordered equations: 974
% Current number of rules: 61
% New rule produced :
% [446]
% right_division(right_division(identity,X),right_division(X,right_division(X,Y)))
% <-> right_division(right_division(identity,Y),X)
% Current number of equations to process: 794
% Current number of ordered equations: 972
% Current number of rules: 62
% New rule produced :
% [447]
% right_division(right_division(X,Y),right_division(right_division(identity,X),Y))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 794
% Current number of ordered equations: 971
% Current number of rules: 63
% New rule produced :
% [448]
% right_division(X,right_division(identity,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,Y))))
% Current number of equations to process: 794
% Current number of ordered equations: 967
% Current number of rules: 64
% New rule produced :
% [449]
% right_division(identity,right_division(X,right_division(X,right_division(identity,Y))))
% <-> right_division(X,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 794
% Current number of ordered equations: 963
% Current number of rules: 65
% New rule produced :
% [450]
% right_division(identity,Y) <->
% right_division(X,right_division(Y,right_division(Z,right_division(X,right_division(identity,Z)))))
% Current number of equations to process: 794
% Current number of ordered equations: 960
% Current number of rules: 66
% New rule produced :
% [451]
% right_division(X,right_division(Y,right_division(Z,right_division(X,right_division(identity,Z)))))
% <-> right_division(identity,Y)
% Current number of equations to process: 794
% Current number of ordered equations: 957
% Current number of rules: 67
% New rule produced :
% [452]
% right_division(Y,X) <->
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(identity,Y))))
% Current number of equations to process: 794
% Current number of ordered equations: 956
% Current number of rules: 68
% New rule produced :
% [453]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(identity,Y))))
% <-> right_division(Y,X)
% Current number of equations to process: 794
% Current number of ordered equations: 955
% Current number of rules: 69
% New rule produced :
% [454]
% right_division(identity,right_division(X,right_division(identity,X))) <->
% right_division(Y,right_division(X,right_division(right_division(identity,Y),X)))
% Current number of equations to process: 794
% Current number of ordered equations: 954
% Current number of rules: 70
% New rule produced :
% [455]
% right_division(Y,right_division(X,right_division(right_division(identity,Y),X)))
% <-> right_division(identity,right_division(X,right_division(identity,X)))
% Current number of equations to process: 820
% Current number of ordered equations: 927
% Current number of rules: 71
% New rule produced :
% [456]
% right_division(identity,right_division(X,right_division(identity,X))) <->
% right_division(right_division(identity,Y),right_division(X,right_division(Y,X)))
% Current number of equations to process: 829
% Current number of ordered equations: 917
% Current number of rules: 72
% New rule produced :
% [457]
% right_division(right_division(identity,Y),right_division(X,right_division(Y,X)))
% <-> right_division(identity,right_division(X,right_division(identity,X)))
% Current number of equations to process: 829
% Current number of ordered equations: 916
% Current number of rules: 73
% New rule produced :
% [458]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(Z,Y)) -> right_division(identity,Z)
% Rule
% [443]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(identity,Y)) -> identity collapsed.
% Current number of equations to process: 829
% Current number of ordered equations: 913
% Current number of rules: 73
% New rule produced :
% [459]
% right_division(X,right_division(identity,right_division(X,Y))) <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,X))))
% Current number of equations to process: 829
% Current number of ordered equations: 912
% Current number of rules: 74
% New rule produced :
% [460]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,X))))
% <-> right_division(X,right_division(identity,right_division(X,Y)))
% Current number of equations to process: 829
% Current number of ordered equations: 911
% Current number of rules: 75
% New rule produced :
% [461]
% right_division(right_division(identity,right_division(X,right_division(X,Y))),
% right_division(right_division(identity,Y),X)) -> X
% Current number of equations to process: 829
% Current number of ordered equations: 910
% Current number of rules: 76
% New rule produced :
% [462]
% right_division(right_division(X,right_division(Y,X)),right_division(Y,
% right_division(Y,X))) ->
% right_division(identity,right_division(Y,X))
% Current number of equations to process: 829
% Current number of ordered equations: 907
% Current number of rules: 77
% New rule produced :
% [463]
% right_division(right_division(identity,Y),X) <->
% right_division(right_division(identity,X),right_division(X,right_division(identity,
% right_division(Y,X))))
% Current number of equations to process: 829
% Current number of ordered equations: 906
% Current number of rules: 78
% New rule produced :
% [464]
% right_division(right_division(identity,X),right_division(X,right_division(identity,
% right_division(Y,X))))
% <-> right_division(right_division(identity,Y),X)
% Current number of equations to process: 829
% Current number of ordered equations: 905
% Current number of rules: 79
% New rule produced :
% [465]
% right_division(identity,right_division(X,right_division(Y,right_division(
% right_division(identity,X),Y))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 829
% Current number of ordered equations: 904
% Current number of rules: 80
% New rule produced :
% [466]
% right_division(X,right_division(identity,X)) <->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(Y,X))))
% Current number of equations to process: 835
% Current number of ordered equations: 897
% Current number of rules: 81
% New rule produced :
% [467]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(Y,X))))
% <-> right_division(X,right_division(identity,X))
% Current number of equations to process: 835
% Current number of ordered equations: 896
% Current number of rules: 82
% New rule produced :
% [468]
% right_division(identity,right_division(X,right_division(Y,right_division(Z,
% right_division(X,
% right_division(identity,Z))))))
% -> Y
% Current number of equations to process: 835
% Current number of ordered equations: 895
% Current number of rules: 83
% New rule produced :
% [469]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(Y,
% right_division(identity,Y)))))
% -> right_division(X,Y)
% Current number of equations to process: 835
% Current number of ordered equations: 893
% Current number of rules: 84
% New rule produced :
% [470]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(right_division(identity,Y),right_division(identity,X))) ->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))))
% Current number of equations to process: 837
% Current number of ordered equations: 890
% Current number of rules: 85
% New rule produced :
% [471]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))
% ->
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% Current number of equations to process: 837
% Current number of ordered equations: 888
% Current number of rules: 86
% New rule produced :
% [472]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% Current number of equations to process: 837
% Current number of ordered equations: 886
% Current number of rules: 87
% New rule produced :
% [473]
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))))
% Current number of equations to process: 837
% Current number of ordered equations: 884
% Current number of rules: 88
% New rule produced :
% [474]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,X)))))
% -> right_division(identity,X)
% Current number of equations to process: 837
% Current number of ordered equations: 881
% Current number of rules: 89
% New rule produced :
% [475]
% right_division(X,Y) <->
% right_division(Y,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X))))
% Current number of equations to process: 837
% Current number of ordered equations: 880
% Current number of rules: 90
% New rule produced :
% [476]
% right_division(Y,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))) <->
% right_division(X,Y)
% Current number of equations to process: 837
% Current number of ordered equations: 879
% Current number of rules: 91
% New rule produced :
% [477]
% right_division(X,right_division(Y,right_division(right_division(identity,Y),Z)))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),Z)))
% Current number of equations to process: 837
% Current number of ordered equations: 877
% Current number of rules: 92
% New rule produced :
% [478]
% right_division(identity,right_division(Y,right_division(right_division(X,Y),Z)))
% <->
% right_division(X,right_division(Y,right_division(right_division(identity,Y),Z)))
% Current number of equations to process: 837
% Current number of ordered equations: 875
% Current number of rules: 93
% New rule produced :
% [479]
% right_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% <-> right_division(identity,right_division(Y,right_division(identity,X)))
% Rule
% [310]
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))))
% -> right_division(identity,right_division(X,right_division(identity,X)))
% collapsed.
% Current number of equations to process: 837
% Current number of ordered equations: 870
% Current number of rules: 93
% New rule produced :
% [480]
% right_division(identity,right_division(Y,right_division(identity,X))) <->
% right_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% The conjecture has been reduced. 
% Conjecture is now:
% right_division(identity,right_division(right_division(b,right_division(c,
% right_division(a,
% right_division(identity,c)))),
% right_division(identity,right_division(right_division(c,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c))))),
% right_division(right_division(a,
% right_division(c,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c)))))),
% right_division(right_division(identity,
% right_division(c,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c)))))),
% right_division(c,right_division(identity,
% right_division(c,
% right_division(identity,
% right_division(b,
% right_division(c,
% right_division(a,
% right_division(identity,c)))))))))))))) = 
% right_division(a,right_division(identity,right_division(b,right_division(c,
% right_division(a,
% right_division(identity,
% right_division(c,
% right_division(identity,c))))))))
% 
% Current number of equations to process: 837
% Current number of ordered equations: 869
% Current number of rules: 94
% New rule produced :
% [481]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,X)))) <->
% right_division(right_division(X,Y),right_division(identity,X))
% Current number of equations to process: 837
% Current number of ordered equations: 867
% Current number of rules: 95
% New rule produced :
% [482]
% right_division(right_division(X,Y),right_division(identity,X)) <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,X))))
% Current number of equations to process: 837
% Current number of ordered equations: 865
% Current number of rules: 96
% New rule produced :
% [483]
% right_division(right_division(right_division(identity,X),Y),right_division(identity,
% right_division(Y,
% right_division(Y,X))))
% -> right_division(identity,Y)
% Current number of equations to process: 837
% Current number of ordered equations: 863
% Current number of rules: 97
% New rule produced :
% [484]
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% <-> right_division(identity,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 839
% Current number of ordered equations: 857
% Current number of rules: 98
% New rule produced :
% [485]
% right_division(identity,right_division(Y,right_division(identity,Y))) <->
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% Current number of equations to process: 839
% Current number of ordered equations: 855
% Current number of rules: 99
% New rule produced :
% [486]
% right_division(right_division(X,right_division(Y,right_division(X,right_division(identity,Y)))),Z)
% -> right_division(X,right_division(identity,right_division(X,Z)))
% Current number of equations to process: 839
% Current number of ordered equations: 854
% Current number of rules: 100
% New rule produced :
% [487]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(X,
% right_division(identity,Y))),Z)))
% -> right_division(identity,Z)
% Current number of equations to process: 839
% Current number of ordered equations: 852
% Current number of rules: 101
% New rule produced :
% [488]
% right_division(right_division(identity,X),right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),X))))
% -> right_division(Y,X)
% Current number of equations to process: 839
% Current number of ordered equations: 851
% Current number of rules: 102
% New rule produced :
% [489]
% right_division(X,right_division(right_division(identity,X),right_division(
% right_division(identity,X),Y)))
% <-> right_division(right_division(identity,Y),right_division(identity,X))
% Current number of equations to process: 839
% Current number of ordered equations: 849
% Current number of rules: 103
% New rule produced :
% [490]
% right_division(right_division(identity,Y),right_division(identity,X)) <->
% right_division(X,right_division(right_division(identity,X),right_division(
% right_division(identity,X),Y)))
% Current number of equations to process: 839
% Current number of ordered equations: 847
% Current number of rules: 104
% New rule produced :
% [491]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(identity,right_division(Y,Z))) -> right_division(identity,Z)
% Current number of equations to process: 839
% Current number of ordered equations: 844
% Current number of rules: 105
% New rule produced :
% [492]
% right_division(X,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% <-> right_division(identity,right_division(X,right_division(identity,Y)))
% Current number of equations to process: 839
% Current number of ordered equations: 843
% Current number of rules: 106
% New rule produced :
% [493]
% right_division(identity,right_division(X,right_division(identity,Y))) <->
% right_division(X,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% Current number of equations to process: 839
% Current number of ordered equations: 842
% Current number of rules: 107
% New rule produced :
% [494]
% right_division(right_division(right_division(identity,X),Y),right_division(identity,
% right_division(Y,X)))
% -> right_division(identity,right_division(X,right_division(identity,X)))
% Current number of equations to process: 839
% Current number of ordered equations: 840
% Current number of rules: 108
% New rule produced :
% [495]
% right_division(right_division(identity,X),right_division(Y,right_division(identity,
% right_division(Y,X))))
% -> right_division(identity,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 840
% Current number of ordered equations: 832
% Current number of rules: 109
% New rule produced :
% [496]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(Y,X))))
% -> right_division(X,right_division(identity,right_division(X,Y)))
% Current number of equations to process: 840
% Current number of ordered equations: 831
% Current number of rules: 110
% New rule produced :
% [497]
% right_division(right_division(X,right_division(X,Y)),right_division(Y,
% right_division(identity,
% right_division(Y,X))))
% -> right_division(X,Y)
% Current number of equations to process: 840
% Current number of ordered equations: 830
% Current number of rules: 111
% New rule produced :
% [498]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(Y,right_division(X,Y))) -> right_division(X,Y)
% Current number of equations to process: 840
% Current number of ordered equations: 829
% Current number of rules: 112
% New rule produced :
% [499]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(identity,Y))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 840
% Current number of ordered equations: 826
% Current number of rules: 113
% Rule [427]
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,Y))))) is composed into 
% [427]
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% <->
% right_division(X,right_division(identity,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))
% New rule produced :
% [500]
% right_division(right_division(identity,X),right_division(identity,right_division(Y,X)))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% Rule
% [426]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,Y)))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% collapsed.
% Current number of equations to process: 869
% Current number of ordered equations: 783
% Current number of rules: 113
% New rule produced :
% [501]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 869
% Current number of ordered equations: 780
% Current number of rules: 114
% New rule produced :
% [502]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% -> Y
% Current number of equations to process: 869
% Current number of ordered equations: 778
% Current number of rules: 115
% New rule produced :
% [503]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),Z))
% Current number of equations to process: 867
% Current number of ordered equations: 779
% Current number of rules: 116
% New rule produced :
% [504]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),Z))
% <->
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% Current number of equations to process: 867
% Current number of ordered equations: 778
% Current number of rules: 117
% New rule produced :
% [505]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(identity,right_division(X,right_division(right_division(identity,Z),
% right_division(identity,Y))))) ->
% right_division(right_division(identity,Y),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% Current number of equations to process: 867
% Current number of ordered equations: 777
% Current number of rules: 118
% New rule produced :
% [506]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))),
% right_division(right_division(identity,Z),right_division(identity,Y))) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 867
% Current number of ordered equations: 776
% Current number of rules: 119
% New rule produced :
% [507]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),Z)))
% <->
% right_division(identity,right_division(Z,right_division(right_division(X,Z),
% right_division(identity,right_division(Z,Y)))))
% Current number of equations to process: 867
% Current number of ordered equations: 775
% Current number of rules: 120
% New rule produced :
% [508]
% right_division(identity,right_division(Z,right_division(right_division(X,Z),
% right_division(identity,right_division(Z,Y)))))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),Z)))
% Current number of equations to process: 867
% Current number of ordered equations: 774
% Current number of rules: 121
% New rule produced :
% [509]
% right_division(right_division(identity,right_division(Y,right_division(
% right_division(X,Y),
% right_division(identity,Z)))),
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,Z))))) -> X
% Current number of equations to process: 867
% Current number of ordered equations: 773
% Current number of rules: 122
% New rule produced :
% [510]
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,Y)))))
% Current number of equations to process: 869
% Current number of ordered equations: 771
% Current number of rules: 123
% New rule produced :
% [511]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 869
% Current number of ordered equations: 770
% Current number of rules: 124
% New rule produced :
% [512]
% right_division(right_division(identity,right_division(X,right_division(identity,X))),Y)
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),Y)))
% Current number of equations to process: 893
% Current number of ordered equations: 731
% Current number of rules: 125
% New rule produced :
% [513]
% right_division(identity,right_division(right_division(X,Y),right_division(X,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),
% right_division(X,Y))))))
% -> right_division(Y,right_division(X,Y))
% Current number of equations to process: 892
% Current number of ordered equations: 731
% Current number of rules: 126
% New rule produced :
% [514]
% right_division(right_division(X,right_division(Y,X)),right_division(Z,
% right_division(Y,
% right_division(identity,Z))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 892
% Current number of ordered equations: 730
% Current number of rules: 127
% New rule produced :
% [515]
% right_division(right_division(identity,right_division(X,right_division(Y,X))),
% right_division(identity,right_division(X,right_division(identity,X)))) -> Y
% Current number of equations to process: 892
% Current number of ordered equations: 729
% Current number of rules: 128
% New rule produced :
% [516]
% right_division(right_division(identity,X),right_division(right_division(identity,Y),
% right_division(X,right_division(identity,Y))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 892
% Current number of ordered equations: 728
% Current number of rules: 129
% New rule produced :
% [517]
% right_division(right_division(Y,X),right_division(identity,right_division(Y,X)))
% ->
% right_division(identity,right_division(X,right_division(right_division(Y,X),
% right_division(identity,Y))))
% Rule
% [427]
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% <->
% right_division(X,right_division(identity,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))
% collapsed.
% Current number of equations to process: 916
% Current number of ordered equations: 696
% Current number of rules: 129
% New rule produced :
% [518]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(identity,X))))
% -> right_division(Y,right_division(identity,X))
% Rule
% [515]
% right_division(right_division(identity,right_division(X,right_division(Y,X))),
% right_division(identity,right_division(X,right_division(identity,X)))) -> Y
% collapsed.
% Current number of equations to process: 916
% Current number of ordered equations: 694
% Current number of rules: 129
% New rule produced :
% [519]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% <->
% right_division(identity,right_division(right_division(identity,X),right_division(X,
% right_division(identity,Y))))
% Current number of equations to process: 916
% Current number of ordered equations: 693
% Current number of rules: 130
% New rule produced :
% [520]
% right_division(identity,right_division(right_division(identity,X),right_division(X,
% right_division(identity,Y))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 916
% Current number of ordered equations: 692
% Current number of rules: 131
% New rule produced :
% [521]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X)))))
% -> right_division(X,right_division(X,Y))
% Current number of equations to process: 916
% Current number of ordered equations: 691
% Current number of rules: 132
% New rule produced :
% [522]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(Y,X))))
% -> right_division(Y,right_division(Y,X))
% Current number of equations to process: 916
% Current number of ordered equations: 690
% Current number of rules: 133
% New rule produced :
% [523]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(X,Y))) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 916
% Current number of ordered equations: 689
% Current number of rules: 134
% New rule produced :
% [524]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 916
% Current number of ordered equations: 687
% Current number of rules: 135
% New rule produced :
% [525]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% Current number of equations to process: 916
% Current number of ordered equations: 685
% Current number of rules: 136
% New rule produced :
% [526]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))
% Current number of equations to process: 916
% Current number of ordered equations: 683
% Current number of rules: 137
% New rule produced :
% [527]
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z))))))))
% <->
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,V_3))
% Current number of equations to process: 916
% Current number of ordered equations: 682
% Current number of rules: 138
% New rule produced :
% [528]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,V_3)) <->
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z))))))))
% Current number of equations to process: 916
% Current number of ordered equations: 681
% Current number of rules: 139
% New rule produced :
% [529]
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,X)),right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,X))))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 916
% Current number of ordered equations: 680
% Current number of rules: 140
% New rule produced :
% [530]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,Y))))))))
% <->
% right_division(Z,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,X))))))))
% Current number of equations to process: 916
% Current number of ordered equations: 679
% Current number of rules: 141
% New rule produced :
% [531]
% right_division(Z,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,X))))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,Y))))))))
% Current number of equations to process: 916
% Current number of ordered equations: 678
% Current number of rules: 142
% New rule produced :
% [532]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% <->
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(identity,Z))))
% Current number of equations to process: 916
% Current number of ordered equations: 676
% Current number of rules: 143
% New rule produced :
% [533]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% Current number of equations to process: 916
% Current number of ordered equations: 674
% Current number of rules: 144
% New rule produced :
% [534]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(Y,
% right_division(identity,Y))),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,Z))))
% Current number of equations to process: 916
% Current number of ordered equations: 672
% Current number of rules: 145
% New rule produced :
% [535]
% right_division(right_division(right_division(X,right_division(Z,right_division(identity,Y))),
% right_division(right_division(identity,Y),right_division(identity,Z))),
% right_division(right_division(identity,Z),right_division(right_division(identity,Y),
% right_division(identity,Z)))) ->
% right_division(X,Y)
% Current number of equations to process: 916
% Current number of ordered equations: 671
% Current number of rules: 146
% New rule produced :
% [536]
% right_division(identity,right_division(Z,right_division(X,right_division(identity,
% right_division(Y,Z)))))
% <->
% right_division(right_division(X,right_division(identity,Z)),right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))))
% Current number of equations to process: 916
% Current number of ordered equations: 669
% Current number of rules: 147
% New rule produced :
% [537]
% right_division(right_division(X,right_division(identity,Z)),right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(Z,right_division(X,right_division(identity,
% right_division(Y,Z)))))
% Current number of equations to process: 916
% Current number of ordered equations: 667
% Current number of rules: 148
% New rule produced :
% [538]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))
% <->
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(Y,X))))
% Current number of equations to process: 916
% Current number of ordered equations: 666
% Current number of rules: 149
% New rule produced :
% [539]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(Y,X)))) <->
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))
% Current number of equations to process: 916
% Current number of ordered equations: 665
% Current number of rules: 150
% New rule produced :
% [540]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))
% Current number of equations to process: 916
% Current number of ordered equations: 664
% Current number of rules: 151
% Rule [400]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,right_division(X,right_division(identity,Y))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,Y)))) is composed into 
% [400]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% New rule produced :
% [541]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% Rule
% [239]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,Y))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% collapsed.
% Current number of equations to process: 917
% Current number of ordered equations: 663
% Current number of rules: 151
% New rule produced :
% [542]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(Y,
% right_division(identity,Y))),
% right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(Z,Y)))
% Current number of equations to process: 917
% Current number of ordered equations: 662
% Current number of rules: 152
% New rule produced :
% [543]
% right_division(right_division(X,Y),right_division(identity,right_division(Z,Y)))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(Y,
% right_division(identity,Y))),
% right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 917
% Current number of ordered equations: 661
% Current number of rules: 153
% New rule produced :
% [544]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,V_3))))))
% Current number of equations to process: 917
% Current number of ordered equations: 660
% Current number of rules: 154
% New rule produced :
% [545]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,V_3))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))
% Current number of equations to process: 917
% Current number of ordered equations: 659
% Current number of rules: 155
% New rule produced :
% [546]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 917
% Current number of ordered equations: 656
% Current number of rules: 156
% New rule produced :
% [547]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,right_division(identity,Z)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(Y,
% right_division(identity,V_3))))))
% Current number of equations to process: 917
% Current number of ordered equations: 655
% Current number of rules: 157
% New rule produced :
% [548]
% right_division(right_division(right_division(X,right_division(identity,Z)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(Y,
% right_division(identity,V_3))))))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3))
% Current number of equations to process: 917
% Current number of ordered equations: 654
% Current number of rules: 158
% New rule produced :
% [549]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3)) <->
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))
% Current number of equations to process: 917
% Current number of ordered equations: 653
% Current number of rules: 159
% New rule produced :
% [550]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3))
% Current number of equations to process: 917
% Current number of ordered equations: 652
% Current number of rules: 160
% New rule produced :
% [551]
% right_division(right_division(right_division(X,right_division(identity,Y)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(Z,
% right_division(identity,V_3))))))
% <->
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,V_3))
% Current number of equations to process: 918
% Current number of ordered equations: 650
% Current number of rules: 161
% New rule produced :
% [552]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(Z,
% right_division(identity,V_3))))))
% Current number of equations to process: 918
% Current number of ordered equations: 649
% Current number of rules: 162
% New rule produced :
% [553]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(Y,right_division(identity,X)))))
% -> right_division(X,Y)
% Current number of equations to process: 918
% Current number of ordered equations: 648
% Current number of rules: 163
% New rule produced :
% [554]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,X))) ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y))))
% Current number of equations to process: 922
% Current number of ordered equations: 643
% Current number of rules: 164
% New rule produced :
% [555]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 922
% Current number of ordered equations: 639
% Current number of rules: 165
% New rule produced :
% [556]
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 922
% Current number of ordered equations: 637
% Current number of rules: 166
% New rule produced :
% [557]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 922
% Current number of ordered equations: 635
% Current number of rules: 167
% New rule produced :
% [558]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 922
% Current number of ordered equations: 633
% Current number of rules: 168
% New rule produced :
% [559]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(Y,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 921
% Current number of ordered equations: 634
% Current number of rules: 169
% New rule produced :
% [560]
% right_division(Y,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 921
% Current number of ordered equations: 633
% Current number of rules: 170
% New rule produced :
% [561]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% -> right_division(identity,Y)
% Current number of equations to process: 921
% Current number of ordered equations: 632
% Current number of rules: 171
% New rule produced :
% [562]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 921
% Current number of ordered equations: 629
% Current number of rules: 172
% New rule produced :
% [563]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(identity,Y)))))
% -> right_division(identity,Y)
% Current number of equations to process: 921
% Current number of ordered equations: 627
% Current number of rules: 173
% New rule produced :
% [564]
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% Current number of equations to process: 921
% Current number of ordered equations: 625
% Current number of rules: 174
% New rule produced :
% [565]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 921
% Current number of ordered equations: 623
% Current number of rules: 175
% New rule produced :
% [566]
% right_division(Z,right_division(identity,X)) <->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(identity,Z))))))
% Current number of equations to process: 921
% Current number of ordered equations: 622
% Current number of rules: 176
% New rule produced :
% [567]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(identity,Z)))))) <->
% right_division(Z,right_division(identity,X))
% Current number of equations to process: 921
% Current number of ordered equations: 621
% Current number of rules: 177
% New rule produced :
% [568]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 921
% Current number of ordered equations: 618
% Current number of rules: 178
% New rule produced :
% [569]
% right_division(identity,right_division(right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(Y,right_division(identity,X))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 921
% Current number of ordered equations: 617
% Current number of rules: 179
% New rule produced :
% [570]
% right_division(identity,right_division(right_division(X,right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 921
% Current number of ordered equations: 616
% Current number of rules: 180
% New rule produced :
% [571]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% Current number of equations to process: 923
% Current number of ordered equations: 611
% Current number of rules: 181
% Rule [564]
% right_division(identity,right_division(X,right_division(identity,
% right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(X,right_division(identity,
% right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))) is composed into 
% [564]
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% New rule produced :
% [572]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% Rule
% [565]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% collapsed.
% Current number of equations to process: 925
% Current number of ordered equations: 608
% Current number of rules: 181
% New rule produced :
% [573]
% right_division(right_division(X,right_division(identity,right_division(X,Z))),
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z))
% Current number of equations to process: 925
% Current number of ordered equations: 607
% Current number of rules: 182
% New rule produced :
% [574]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z)) <->
% right_division(right_division(X,right_division(identity,right_division(X,Z))),
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 925
% Current number of ordered equations: 606
% Current number of rules: 183
% New rule produced :
% [575]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 925
% Current number of ordered equations: 605
% Current number of rules: 184
% New rule produced :
% [576]
% right_division(right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Z),
% right_division(right_division(identity,Y),
% right_division(identity,Z)))))) ->
% right_division(right_division(identity,Y),right_division(identity,Z))
% Current number of equations to process: 925
% Current number of ordered equations: 604
% Current number of rules: 185
% New rule produced :
% [577]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(Z,right_division(identity,right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,X))))))))))
% -> right_division(right_division(identity,Z),right_division(identity,X))
% Current number of equations to process: 925
% Current number of ordered equations: 603
% Current number of rules: 186
% New rule produced :
% [578]
% right_division(right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))))
% -> right_division(Z,Y)
% Current number of equations to process: 925
% Current number of ordered equations: 602
% Current number of rules: 187
% New rule produced :
% [579]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 925
% Current number of ordered equations: 599
% Current number of rules: 188
% New rule produced :
% [580]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 925
% Current number of ordered equations: 598
% Current number of rules: 189
% New rule produced :
% [581]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))),
% right_division(right_division(identity,Y),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 925
% Current number of ordered equations: 597
% Current number of rules: 190
% New rule produced :
% [582]
% right_division(X,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(X,Y)))))
% Current number of equations to process: 925
% Current number of ordered equations: 596
% Current number of rules: 191
% New rule produced :
% [583]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 925
% Current number of ordered equations: 595
% Current number of rules: 192
% New rule produced :
% [584]
% right_division(identity,right_division(X,right_division(right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,
% right_division(identity,X))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Z))))
% Current number of equations to process: 925
% Current number of ordered equations: 594
% Current number of rules: 193
% New rule produced :
% [585]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Z))))
% <->
% right_division(identity,right_division(X,right_division(right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,
% right_division(identity,X))))))
% Current number of equations to process: 925
% Current number of ordered equations: 593
% Current number of rules: 194
% New rule produced :
% [586]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Current number of equations to process: 925
% Current number of ordered equations: 592
% Current number of rules: 195
% New rule produced :
% [587]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% Current number of equations to process: 925
% Current number of ordered equations: 591
% Current number of rules: 196
% New rule produced :
% [588]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(right_division(identity,Y),right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 925
% Current number of ordered equations: 590
% Current number of rules: 197
% New rule produced :
% [589]
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <-> right_division(Y,right_division(X,right_division(identity,X)))
% Current number of equations to process: 925
% Current number of ordered equations: 589
% Current number of rules: 198
% New rule produced :
% [590]
% right_division(Y,right_division(X,right_division(identity,X))) <->
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 925
% Current number of ordered equations: 588
% Current number of rules: 199
% New rule produced :
% [591]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(right_division(identity,X),right_division(
% right_division(identity,X),Y))))
% ->
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(identity,X),
% right_division(identity,Y))))
% Current number of equations to process: 924
% Current number of ordered equations: 588
% Current number of rules: 200
% New rule produced :
% [592]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 924
% Current number of ordered equations: 586
% Current number of rules: 201
% New rule produced :
% [593]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))
% -> right_division(right_division(identity,Y),right_division(identity,X))
% Current number of equations to process: 924
% Current number of ordered equations: 585
% Current number of rules: 202
% New rule produced :
% [594]
% right_division(X,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% -> right_division(Y,X)
% Current number of equations to process: 924
% Current number of ordered equations: 584
% Current number of rules: 203
% New rule produced :
% [595]
% right_division(X,right_division(Y,right_division(Y,right_division(X,Y)))) <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(X,Y))))))
% Current number of equations to process: 924
% Current number of ordered equations: 583
% Current number of rules: 204
% New rule produced :
% [596]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(X,Y))))))
% <-> right_division(X,right_division(Y,right_division(Y,right_division(X,Y))))
% Current number of equations to process: 924
% Current number of ordered equations: 582
% Current number of rules: 205
% New rule produced :
% [597]
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(Y,Z),
% right_division(identity,Y))))
% <-> right_division(right_division(X,Z),right_division(identity,Y))
% Current number of equations to process: 924
% Current number of ordered equations: 580
% Current number of rules: 206
% New rule produced :
% [598]
% right_division(right_division(X,Z),right_division(identity,Y)) <->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(Y,Z),
% right_division(identity,Y))))
% Current number of equations to process: 924
% Current number of ordered equations: 578
% Current number of rules: 207
% New rule produced :
% [599]
% right_division(identity,right_division(right_division(identity,Z),right_division(X,
% right_division(identity,
% right_division(Y,Z)))))
% <->
% right_division(right_division(X,Z),right_division(identity,right_division(Z,
% right_division(identity,Y))))
% Current number of equations to process: 924
% Current number of ordered equations: 576
% Current number of rules: 208
% New rule produced :
% [600]
% right_division(right_division(X,Z),right_division(identity,right_division(Z,
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(identity,Z),right_division(X,
% right_division(identity,
% right_division(Y,Z)))))
% Rule
% [334]
% right_division(right_division(right_division(X,Y),Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% collapsed.
% Current number of equations to process: 929
% Current number of ordered equations: 569
% Current number of rules: 208
% New rule produced :
% [601]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(Y,right_division(Y,right_division(identity,X)))) ->
% right_division(X,Y)
% Current number of equations to process: 929
% Current number of ordered equations: 567
% Current number of rules: 209
% New rule produced :
% [602]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(Z,
% right_division(identity,Y))),X)))
% <-> right_division(identity,right_division(X,right_division(X,Z)))
% Current number of equations to process: 929
% Current number of ordered equations: 566
% Current number of rules: 210
% New rule produced :
% [603]
% right_division(identity,right_division(X,right_division(X,Z))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(Z,
% right_division(identity,Y))),X)))
% Current number of equations to process: 929
% Current number of ordered equations: 565
% Current number of rules: 211
% New rule produced :
% [604]
% right_division(right_division(right_division(identity,X),Y),right_division(Y,
% right_division(Y,X)))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),Y)))
% Current number of equations to process: 929
% Current number of ordered equations: 563
% Current number of rules: 212
% New rule produced :
% [605]
% right_division(Y,right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% -> right_division(identity,X)
% Rule
% [556]
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Current number of equations to process: 929
% Current number of ordered equations: 561
% Current number of rules: 212
% New rule produced :
% [606]
% right_division(identity,right_division(Y,right_division(X,right_division(
% right_division(identity,Z),Y))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,Y)))
% Current number of equations to process: 929
% Current number of ordered equations: 560
% Current number of rules: 213
% New rule produced :
% [607]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,Y)))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(
% right_division(identity,Z),Y))))
% Current number of equations to process: 931
% Current number of ordered equations: 557
% Current number of rules: 214
% New rule produced :
% [608]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(right_division(Y,X),right_division(identity,Y))) ->
% right_division(identity,Y)
% Current number of equations to process: 931
% Current number of ordered equations: 556
% Current number of rules: 215
% New rule produced :
% [609]
% right_division(identity,right_division(right_division(X,Y),right_division(X,
% right_division(identity,Y))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 935
% Current number of ordered equations: 550
% Current number of rules: 216
% New rule produced :
% [610]
% right_division(X,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))) <->
% right_division(right_division(X,Y),right_division(Y,X))
% Current number of equations to process: 933
% Current number of ordered equations: 551
% Current number of rules: 217
% New rule produced :
% [611]
% right_division(right_division(X,Y),right_division(Y,X)) <->
% right_division(X,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X))))
% Rule
% [470]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(right_division(identity,Y),right_division(identity,X))) ->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))))
% collapsed.
% Current number of equations to process: 934
% Current number of ordered equations: 550
% Current number of rules: 217
% New rule produced :
% [612]
% right_division(X,right_division(identity,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 934
% Current number of ordered equations: 549
% Current number of rules: 218
% New rule produced :
% [613]
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,Z))))))
% <-> right_division(X,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 934
% Current number of ordered equations: 548
% Current number of rules: 219
% Rule [400]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,right_division(X,right_division(identity,Y))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))))) is composed into 
% [400]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% New rule produced :
% [614]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% Current number of equations to process: 934
% Current number of ordered equations: 547
% Current number of rules: 220
% New rule produced :
% [615]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 934
% Current number of ordered equations: 546
% Current number of rules: 221
% New rule produced :
% [616]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,Z))))
% Current number of equations to process: 934
% Current number of ordered equations: 545
% Current number of rules: 222
% New rule produced :
% [617]
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,Z))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% Current number of equations to process: 935
% Current number of ordered equations: 543
% Current number of rules: 223
% New rule produced :
% [618]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% Current number of equations to process: 933
% Current number of ordered equations: 544
% Current number of rules: 224
% New rule produced :
% [619]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))))
% Current number of equations to process: 933
% Current number of ordered equations: 543
% Current number of rules: 225
% New rule produced :
% [620]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,Y)))))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 933
% Current number of ordered equations: 542
% Current number of rules: 226
% New rule produced :
% [621]
% right_division(right_division(Y,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z))),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 933
% Current number of ordered equations: 540
% Current number of rules: 227
% New rule produced :
% [622]
% right_division(right_division(identity,right_division(Y,right_division(identity,X))),
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,X))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 933
% Current number of ordered equations: 539
% Current number of rules: 228
% New rule produced :
% [623]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% -> Y
% Current number of equations to process: 933
% Current number of ordered equations: 537
% Current number of rules: 229
% New rule produced :
% [624]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,Z))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 933
% Current number of ordered equations: 536
% Current number of rules: 230
% New rule produced :
% [625]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(Y,right_division(identity,right_division(Y,
% right_division(X,Y))))))
% -> Y
% Current number of equations to process: 932
% Current number of ordered equations: 536
% Current number of rules: 231
% New rule produced :
% [626]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(Y,X)))) -> X
% Current number of equations to process: 932
% Current number of ordered equations: 535
% Current number of rules: 232
% New rule produced :
% [627]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 932
% Current number of ordered equations: 533
% Current number of rules: 233
% New rule produced :
% [628]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% -> X
% Current number of equations to process: 932
% Current number of ordered equations: 532
% Current number of rules: 234
% New rule produced :
% [629]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))))
% -> Y
% Current number of equations to process: 932
% Current number of ordered equations: 527
% Current number of rules: 235
% New rule produced :
% [630]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 932
% Current number of ordered equations: 526
% Current number of rules: 236
% New rule produced :
% [631]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 932
% Current number of ordered equations: 525
% Current number of rules: 237
% New rule produced :
% [632]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 932
% Current number of ordered equations: 524
% Current number of rules: 238
% New rule produced :
% [633]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 932
% Current number of ordered equations: 522
% Current number of rules: 239
% New rule produced :
% [634]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 932
% Current number of ordered equations: 520
% Current number of rules: 240
% New rule produced :
% [635]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(right_division(Y,X),
% right_division(identity,Y))))) ->
% right_division(X,right_division(Y,X))
% Current number of equations to process: 931
% Current number of ordered equations: 520
% Current number of rules: 241
% New rule produced :
% [636]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% -> X
% Current number of equations to process: 930
% Current number of ordered equations: 519
% Current number of rules: 242
% New rule produced :
% [637]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 928
% Current number of ordered equations: 517
% Current number of rules: 243
% New rule produced :
% [638]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 928
% Current number of ordered equations: 515
% Current number of rules: 244
% New rule produced :
% [639]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X))))))))
% -> X
% Current number of equations to process: 928
% Current number of ordered equations: 514
% Current number of rules: 245
% New rule produced :
% [640]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(X,Y)))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(Y,right_division(identity,Y))
% Current number of equations to process: 928
% Current number of ordered equations: 511
% Current number of rules: 246
% New rule produced :
% [641]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(identity,X),
% right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Y,X))))))))
% -> X
% Current number of equations to process: 928
% Current number of ordered equations: 509
% Current number of rules: 247
% New rule produced :
% [642]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X)))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 928
% Current number of ordered equations: 507
% Current number of rules: 248
% New rule produced :
% [643]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))))),
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,Z)))
% -> X
% Current number of equations to process: 928
% Current number of ordered equations: 506
% Current number of rules: 249
% New rule produced :
% [644]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))))
% -> Y
% Current number of equations to process: 928
% Current number of ordered equations: 504
% Current number of rules: 250
% New rule produced :
% [645]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(X,right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))
% -> X
% Current number of equations to process: 928
% Current number of ordered equations: 503
% Current number of rules: 251
% New rule produced :
% [646]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),Z)),
% right_division(Y,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% -> right_division(Z,right_division(identity,Z))
% Current number of equations to process: 928
% Current number of ordered equations: 502
% Current number of rules: 252
% New rule produced :
% [647]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(identity,X),right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))
% -> X
% Current number of equations to process: 928
% Current number of ordered equations: 501
% Current number of rules: 253
% New rule produced :
% [648]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% Current number of equations to process: 928
% Current number of ordered equations: 500
% Current number of rules: 254
% New rule produced :
% [649]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% Rule
% [240]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,Y)))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))
% collapsed.
% Rule
% [376]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% collapsed.
% Rule
% [391]
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(X,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [400]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [428]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,X))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Rule
% [622]
% right_division(right_division(identity,right_division(Y,right_division(identity,X))),
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,X))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Rule
% [626]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(Y,X)))) -> X
% collapsed.
% Current number of equations to process: 942
% Current number of ordered equations: 486
% Current number of rules: 248
% New rule produced :
% [650]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(Y,
% right_division(identity,Y))),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% -> right_division(right_division(X,Y),right_division(identity,Z))
% Current number of equations to process: 942
% Current number of ordered equations: 485
% Current number of rules: 249
% New rule produced :
% [651]
% right_division(identity,right_division(Z,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% <-> right_division(right_division(X,right_division(identity,Y)),Z)
% Current number of equations to process: 941
% Current number of ordered equations: 486
% Current number of rules: 250
% New rule produced :
% [652]
% right_division(right_division(X,right_division(identity,Y)),Z) <->
% right_division(identity,right_division(Z,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 485
% Current number of rules: 251
% New rule produced :
% [653]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,Y))
% Current number of equations to process: 941
% Current number of ordered equations: 484
% Current number of rules: 252
% New rule produced :
% [654]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,Y)) <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 483
% Current number of rules: 253
% New rule produced :
% [655]
% right_division(identity,right_division(Z,right_division(right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,right_division(Z,
% right_division(identity,X))))))
% Current number of equations to process: 941
% Current number of ordered equations: 482
% Current number of rules: 254
% New rule produced :
% [656]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% -> Z
% Current number of equations to process: 941
% Current number of ordered equations: 481
% Current number of rules: 255
% New rule produced :
% [657]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 480
% Current number of rules: 256
% New rule produced :
% [658]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 479
% Current number of rules: 257
% New rule produced :
% [659]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(right_division(identity,Z),right_division(identity,Y))) ->
% right_division(X,right_division(identity,Z))
% Current number of equations to process: 941
% Current number of ordered equations: 478
% Current number of rules: 258
% New rule produced :
% [660]
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(V_3,
% right_division(identity,Z))))))
% <->
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,right_division(right_division(identity,Z),right_division(identity,V_3))))
% Current number of equations to process: 941
% Current number of ordered equations: 477
% Current number of rules: 259
% New rule produced :
% [661]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,right_division(right_division(identity,Z),right_division(identity,V_3))))
% <->
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(V_3,
% right_division(identity,Z))))))
% Current number of equations to process: 941
% Current number of ordered equations: 476
% Current number of rules: 260
% New rule produced :
% [662]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))),
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Z)))))
% -> X
% Current number of equations to process: 941
% Current number of ordered equations: 475
% Current number of rules: 261
% New rule produced :
% [663]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))
% -> Y
% Current number of equations to process: 941
% Current number of ordered equations: 474
% Current number of rules: 262
% New rule produced :
% [664]
% right_division(identity,right_division(V_3,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,V_3)),right_division(identity,
% right_division(right_division(identity,V_3),
% right_division(identity,Z))))
% Current number of equations to process: 941
% Current number of ordered equations: 473
% Current number of rules: 263
% New rule produced :
% [665]
% right_division(identity,right_division(V_3,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z))))))))))
% <->
% right_division(right_division(X,right_division(identity,V_3)),right_division(identity,
% right_division(
% right_division(identity,V_3),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 941
% Current number of ordered equations: 471
% Current number of rules: 264
% New rule produced :
% [666]
% right_division(right_division(X,right_division(identity,V_3)),right_division(identity,
% right_division(
% right_division(identity,V_3),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(V_3,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z))))))))))
% Current number of equations to process: 943
% Current number of ordered equations: 468
% Current number of rules: 265
% New rule produced :
% [667]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,V_3)),right_division(identity,
% right_division(right_division(identity,V_3),
% right_division(identity,Z))))
% <->
% right_division(identity,right_division(V_3,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y))))))))))
% Current number of equations to process: 943
% Current number of ordered equations: 467
% Current number of rules: 266
% New rule produced :
% [668]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 943
% Current number of ordered equations: 465
% Current number of rules: 267
% New rule produced :
% [669]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(Z,Y)) -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 943
% Current number of ordered equations: 464
% Current number of rules: 268
% New rule produced :
% [670]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(identity,V_3))))
% Current number of equations to process: 943
% Current number of ordered equations: 463
% Current number of rules: 269
% New rule produced :
% [671]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(identity,V_3))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% Current number of equations to process: 943
% Current number of ordered equations: 462
% Current number of rules: 270
% New rule produced :
% [672]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,right_division(V_3,Z))) ->
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,V_3))))))
% Current number of equations to process: 943
% Current number of ordered equations: 461
% Current number of rules: 271
% New rule produced :
% [673]
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))))
% -> X
% Current number of equations to process: 943
% Current number of ordered equations: 460
% Current number of rules: 272
% New rule produced :
% [674]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))))))))
% -> Y
% Current number of equations to process: 943
% Current number of ordered equations: 459
% Current number of rules: 273
% New rule produced :
% [675]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 943
% Current number of ordered equations: 458
% Current number of rules: 274
% New rule produced :
% [676]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% Rule
% [378]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% collapsed.
% Current number of equations to process: 945
% Current number of ordered equations: 456
% Current number of rules: 274
% New rule produced :
% [677]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 945
% Current number of ordered equations: 455
% Current number of rules: 275
% New rule produced :
% [678]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),Z)),
% right_division(identity,right_division(right_division(X,Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% -> right_division(Z,right_division(identity,Z))
% Current number of equations to process: 945
% Current number of ordered equations: 454
% Current number of rules: 276
% New rule produced :
% [679]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 945
% Current number of ordered equations: 453
% Current number of rules: 277
% New rule produced :
% [680]
% right_division(identity,right_division(right_division(identity,Z),right_division(
% right_division(X,
% right_division(Y,
% right_division(identity,Y))),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(Z,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))))
% -> right_division(right_division(X,Y),right_division(identity,Z))
% Current number of equations to process: 944
% Current number of ordered equations: 453
% Current number of rules: 278
% New rule produced :
% [681]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% <-> right_division(right_division(X,right_division(identity,Z)),Y)
% Current number of equations to process: 944
% Current number of ordered equations: 452
% Current number of rules: 279
% New rule produced :
% [682]
% right_division(right_division(X,right_division(identity,Z)),Y) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% Current number of equations to process: 944
% Current number of ordered equations: 451
% Current number of rules: 280
% New rule produced :
% [683]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,V_3))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(V_3,
% right_division(identity,Y))))))
% Current number of equations to process: 944
% Current number of ordered equations: 450
% Current number of rules: 281
% New rule produced :
% [684]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(V_3,
% right_division(identity,Y))))))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,V_3))))
% Current number of equations to process: 944
% Current number of ordered equations: 449
% Current number of rules: 282
% New rule produced :
% [685]
% right_division(right_division(right_division(X,right_division(identity,Z)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,V_3))))))
% <->
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3))
% Current number of equations to process: 944
% Current number of ordered equations: 448
% Current number of rules: 283
% New rule produced :
% [686]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,right_division(identity,Z)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,V_3))))))
% Current number of equations to process: 944
% Current number of ordered equations: 447
% Current number of rules: 284
% New rule produced :
% [687]
% right_division(identity,right_division(Z,right_division(X,right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z))))))))))
% <->
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))
% Current number of equations to process: 944
% Current number of ordered equations: 446
% Current number of rules: 285
% New rule produced :
% [688]
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))
% <->
% right_division(identity,right_division(Z,right_division(X,right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z))))))))))
% Current number of equations to process: 944
% Current number of ordered equations: 445
% Current number of rules: 286
% New rule produced :
% [689]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,right_division(V_3,Y))) ->
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(Y,
% right_division(identity,V_3))))))
% Current number of equations to process: 944
% Current number of ordered equations: 444
% Current number of rules: 287
% New rule produced :
% [690]
% right_division(right_division(right_division(X,right_division(identity,Y)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(
% right_division(Z,Y),
% right_division(identity,V_3))))))
% <->
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3))
% Current number of equations to process: 944
% Current number of ordered equations: 443
% Current number of rules: 288
% New rule produced :
% [691]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(
% right_division(Z,Y),
% right_division(identity,V_3))))))
% Current number of equations to process: 944
% Current number of ordered equations: 442
% Current number of rules: 289
% New rule produced :
% [692]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,Y))))
% ->
% right_division(Y,right_division(identity,right_division(Z,right_division(identity,Y))))
% Current number of equations to process: 944
% Current number of ordered equations: 441
% Current number of rules: 290
% New rule produced :
% [693]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))),
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% -> Y
% Current number of equations to process: 944
% Current number of ordered equations: 440
% Current number of rules: 291
% New rule produced :
% [694]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 944
% Current number of ordered equations: 438
% Current number of rules: 292
% New rule produced :
% [695]
% right_division(identity,right_division(right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))))
% -> X
% Current number of equations to process: 944
% Current number of ordered equations: 437
% Current number of rules: 293
% New rule produced :
% [696]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 944
% Current number of ordered equations: 436
% Current number of rules: 294
% New rule produced :
% [697]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% Current number of equations to process: 944
% Current number of ordered equations: 435
% Current number of rules: 295
% New rule produced :
% [698]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(X,Y)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,Y)))))))))
% ->
% right_division(Y,right_division(identity,right_division(X,right_division(identity,Y))))
% Current number of equations to process: 943
% Current number of ordered equations: 435
% Current number of rules: 296
% New rule produced :
% [699]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 943
% Current number of ordered equations: 434
% Current number of rules: 297
% New rule produced :
% [700]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(X,Y))))))))
% -> Y
% Current number of equations to process: 943
% Current number of ordered equations: 433
% Current number of rules: 298
% New rule produced :
% [701]
% right_division(right_division(identity,right_division(Y,right_division(identity,
% right_division(X,Y)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X))))))
% -> right_division(Y,right_division(identity,X))
% Current number of equations to process: 942
% Current number of ordered equations: 433
% Current number of rules: 299
% New rule produced :
% [702]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(right_division(identity,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X))))))
% -> X
% Current number of equations to process: 942
% Current number of ordered equations: 432
% Current number of rules: 300
% New rule produced :
% [703]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,
% right_division(Z,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% Current number of equations to process: 942
% Current number of ordered equations: 431
% Current number of rules: 301
% New rule produced :
% [704]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% Current number of equations to process: 942
% Current number of ordered equations: 430
% Current number of rules: 302
% New rule produced :
% [705]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% Current number of equations to process: 941
% Current number of ordered equations: 427
% Current number of rules: 303
% New rule produced :
% [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% Current number of equations to process: 941
% Current number of ordered equations: 424
% Current number of rules: 304
% New rule produced :
% [707]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))))
% -> X
% Current number of equations to process: 941
% Current number of ordered equations: 423
% Current number of rules: 305
% New rule produced :
% [708]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))),right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% -> Z
% Current number of equations to process: 941
% Current number of ordered equations: 422
% Current number of rules: 306
% New rule produced :
% [709]
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 941
% Current number of ordered equations: 421
% Current number of rules: 307
% New rule produced :
% [710]
% right_division(X,right_division(right_division(identity,right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% <-> right_division(right_division(Y,X),right_division(identity,Y))
% Current number of equations to process: 941
% Current number of ordered equations: 420
% Current number of rules: 308
% New rule produced :
% [711]
% right_division(right_division(Y,X),right_division(identity,Y)) <->
% right_division(X,right_division(right_division(identity,right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 419
% Current number of rules: 309
% New rule produced :
% [712]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,Y)))))))
% -> Y
% Current number of equations to process: 941
% Current number of ordered equations: 418
% Current number of rules: 310
% New rule produced :
% [713]
% right_division(identity,right_division(X,right_division(right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% Current number of equations to process: 940
% Current number of ordered equations: 418
% Current number of rules: 311
% New rule produced :
% [714]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))))
% -> X
% Current number of equations to process: 940
% Current number of ordered equations: 417
% Current number of rules: 312
% Rule [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(right_division(identity,Y),
% right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))))))) is composed into 
% [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Y)))))))))
% New rule produced :
% [715]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Rule
% [705]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% collapsed.
% Current number of equations to process: 942
% Current number of ordered equations: 414
% Current number of rules: 312
% New rule produced :
% [716]
% right_division(right_division(right_division(X,right_division(identity,Y)),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))),
% right_division(identity,X)))))))
% -> Z
% Current number of equations to process: 942
% Current number of ordered equations: 413
% Current number of rules: 313
% New rule produced :
% [717]
% right_division(identity,right_division(X,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 942
% Current number of ordered equations: 412
% Current number of rules: 314
% New rule produced :
% [718]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% -> Y
% Current number of equations to process: 941
% Current number of ordered equations: 412
% Current number of rules: 315
% New rule produced :
% [719]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,X))))
% Current number of equations to process: 941
% Current number of ordered equations: 409
% Current number of rules: 316
% New rule produced :
% [720]
% right_division(right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,Y),
% right_division(identity,X)))
% -> X
% Current number of equations to process: 940
% Current number of ordered equations: 409
% Current number of rules: 317
% New rule produced :
% [721]
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Current number of equations to process: 940
% Current number of ordered equations: 408
% Current number of rules: 318
% New rule produced :
% [722]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% Current number of equations to process: 940
% Current number of ordered equations: 406
% Current number of rules: 319
% New rule produced :
% [723]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 940
% Current number of ordered equations: 404
% Current number of rules: 320
% New rule produced :
% [724]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(right_division(identity,Z),right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% -> right_division(Z,right_division(identity,Z))
% Current number of equations to process: 940
% Current number of ordered equations: 403
% Current number of rules: 321
% New rule produced :
% [725]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))
% <-> right_division(right_division(X,Y),Z)
% Current number of equations to process: 940
% Current number of ordered equations: 402
% Current number of rules: 322
% Rule [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Y))))))))) is composed into 
% [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(identity,Y)))))))))))))))
% New rule produced :
% [726]
% right_division(right_division(X,Y),Z) <->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))
% Current number of equations to process: 940
% Current number of ordered equations: 401
% Current number of rules: 323
% New rule produced :
% [727]
% right_division(identity,right_division(right_division(Y,right_division(identity,Z)),
% right_division(identity,right_division(X,right_division(X,
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% -> X
% Current number of equations to process: 939
% Current number of ordered equations: 400
% Current number of rules: 324
% New rule produced :
% [728]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))))
% -> Z
% Current number of equations to process: 939
% Current number of ordered equations: 399
% Current number of rules: 325
% New rule produced :
% [729]
% right_division(right_division(identity,right_division(right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z))),right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))
% -> X
% Current number of equations to process: 939
% Current number of ordered equations: 398
% Current number of rules: 326
% New rule produced :
% [730]
% right_division(right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% -> Z
% Current number of equations to process: 939
% Current number of ordered equations: 397
% Current number of rules: 327
% New rule produced :
% [731]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z))),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% -> Y
% Current number of equations to process: 939
% Current number of ordered equations: 396
% Current number of rules: 328
% New rule produced :
% [732]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(right_division(identity,Y),
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 939
% Current number of ordered equations: 395
% Current number of rules: 329
% New rule produced :
% [733]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(X,Y))))))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 939
% Current number of ordered equations: 394
% Current number of rules: 330
% New rule produced :
% [734]
% right_division(right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 939
% Current number of ordered equations: 392
% Current number of rules: 331
% New rule produced :
% [735]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))),
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> X
% Current number of equations to process: 938
% Current number of ordered equations: 391
% Current number of rules: 332
% New rule produced :
% [736]
% right_division(right_division(X,right_division(X,right_division(identity,
% right_division(X,right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 938
% Current number of ordered equations: 390
% Current number of rules: 333
% New rule produced :
% [737]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 938
% Current number of ordered equations: 388
% Current number of rules: 334
% New rule produced :
% [738]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X))))) <->
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 936
% Current number of ordered equations: 389
% Current number of rules: 335
% New rule produced :
% [739]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))))
% Current number of equations to process: 936
% Current number of ordered equations: 388
% Current number of rules: 336
% New rule produced :
% [740]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% ->
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 936
% Current number of ordered equations: 387
% Current number of rules: 337
% New rule produced :
% [741]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Y))))))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Y))))))
% Current number of equations to process: 934
% Current number of ordered equations: 386
% Current number of rules: 338
% New rule produced :
% [742]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))),
% right_division(Y,right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Z))))) -> X
% Current number of equations to process: 934
% Current number of ordered equations: 385
% Current number of rules: 339
% New rule produced :
% [743]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))
% -> Y
% Current number of equations to process: 934
% Current number of ordered equations: 384
% Current number of rules: 340
% New rule produced :
% [744]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,Z))),right_division(
% right_division(identity,Z),
% right_division(identity,Y)))
% -> X
% Rule
% [720]
% right_division(right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,Y),
% right_division(identity,X)))
% -> X collapsed.
% Current number of equations to process: 934
% Current number of ordered equations: 383
% Current number of rules: 340
% New rule produced :
% [745]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))),
% right_division(right_division(identity,Z),right_division(identity,Y))) ->
% right_division(X,right_division(right_division(identity,Y),right_division(identity,Z)))
% Current number of equations to process: 933
% Current number of ordered equations: 384
% Current number of rules: 341
% New rule produced :
% [746]
% right_division(X,right_division(right_division(identity,Y),right_division(identity,Z)))
% <->
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,Z))),
% right_division(X,right_division(identity,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))))))))
% Current number of equations to process: 933
% Current number of ordered equations: 383
% Current number of rules: 342
% New rule produced :
% [747]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,Z))),
% right_division(X,right_division(identity,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))))))))
% <->
% right_division(X,right_division(right_division(identity,Y),right_division(identity,Z)))
% Current number of equations to process: 933
% Current number of ordered equations: 382
% Current number of rules: 343
% New rule produced :
% [748]
% right_division(right_division(identity,right_division(X,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,Y),right_division(identity,Z))))
% -> Y
% Current number of equations to process: 933
% Current number of ordered equations: 381
% Current number of rules: 344
% New rule produced :
% [749]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% -> Y
% Current number of equations to process: 933
% Current number of ordered equations: 380
% Current number of rules: 345
% New rule produced :
% [750]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(X,Z),right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% -> Z
% Current number of equations to process: 933
% Current number of ordered equations: 379
% Current number of rules: 346
% New rule produced :
% [751]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(
% right_division(X,Z),
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,Z))))))
% -> Z
% Current number of equations to process: 933
% Current number of ordered equations: 378
% Current number of rules: 347
% New rule produced :
% [752]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(X,right_division(identity,X)))))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(X,Y)))))
% Current number of equations to process: 931
% Current number of ordered equations: 379
% Current number of rules: 348
% New rule produced :
% [753]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(X,right_division(identity,X)))))
% Current number of equations to process: 931
% Current number of ordered equations: 378
% Current number of rules: 349
% New rule produced :
% [754]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(Z,Y)))),
% right_division(identity,right_division(Y,right_division(identity,Z)))) ->
% right_division(X,right_division(identity,Y))
% Current number of equations to process: 931
% Current number of ordered equations: 376
% Current number of rules: 350
% New rule produced :
% [755]
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% -> Y
% Current number of equations to process: 930
% Current number of ordered equations: 376
% Current number of rules: 351
% New rule produced :
% [756]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Z),Y)))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,Z)))
% Current number of equations to process: 929
% Current number of ordered equations: 375
% Current number of rules: 352
% New rule produced :
% [757]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,Z)))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Z),Y)))))
% Rule
% [494]
% right_division(right_division(right_division(identity,X),Y),right_division(identity,
% right_division(Y,X)))
% -> right_division(identity,right_division(X,right_division(identity,X)))
% collapsed.
% Current number of equations to process: 930
% Current number of ordered equations: 373
% Current number of rules: 352
% New rule produced :
% [758]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(Y,X)))),
% right_division(Y,right_division(Y,X))) ->
% right_division(X,right_division(Y,X))
% Current number of equations to process: 930
% Current number of ordered equations: 372
% Current number of rules: 353
% New rule produced :
% [759]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(Z,
% right_division(Y,
% right_division(identity,Z))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 930
% Current number of ordered equations: 371
% Current number of rules: 354
% New rule produced :
% [760]
% right_division(right_division(X,Y),right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 930
% Current number of ordered equations: 370
% Current number of rules: 355
% New rule produced :
% [761]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(Y,right_division(identity,right_division(Y,X)))) ->
% right_division(identity,right_division(Y,X))
% Current number of equations to process: 930
% Current number of ordered equations: 367
% Current number of rules: 356
% New rule produced :
% [762]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Z),Y)))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(Z,Y))))
% Current number of equations to process: 930
% Current number of ordered equations: 365
% Current number of rules: 357
% New rule produced :
% [763]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(Z,
% right_division(X,
% right_division(identity,Z))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 930
% Current number of ordered equations: 364
% Current number of rules: 358
% New rule produced :
% [764]
% right_division(right_division(X,right_division(Y,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 929
% Current number of ordered equations: 363
% Current number of rules: 359
% New rule produced :
% [765]
% right_division(identity,right_division(X,right_division(Y,right_division(
% right_division(Z,
% right_division(X,
% right_division(identity,Z))),Y))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 929
% Current number of ordered equations: 362
% Current number of rules: 360
% New rule produced :
% [766]
% right_division(identity,right_division(right_division(Y,right_division(identity,X)),
% right_division(X,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 929
% Current number of ordered equations: 361
% Current number of rules: 361
% New rule produced :
% [767]
% right_division(identity,right_division(right_division(identity,Z),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(Y,right_division(identity,right_division(Z,right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))),
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))),X))))))
% Current number of equations to process: 927
% Current number of ordered equations: 362
% Current number of rules: 362
% New rule produced :
% [768]
% right_division(Y,right_division(identity,right_division(Z,right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))),
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))),X))))))
% <->
% right_division(identity,right_division(right_division(identity,Z),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 927
% Current number of ordered equations: 361
% Current number of rules: 363
% New rule produced :
% [769]
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(Y,
% right_division(c,Y)),
% right_division(identity,
% right_division(c,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% Current number of equations to process: 926
% Current number of ordered equations: 361
% Current number of rules: 364
% New rule produced :
% [770]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(Y,
% right_division(c,Y)),
% right_division(identity,
% right_division(c,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% ->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,Y)))))
% Current number of equations to process: 926
% Current number of ordered equations: 360
% Current number of rules: 365
% New rule produced :
% [771]
% right_division(right_division(X,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(Y,X),
% right_division(identity,Y))))))
% -> right_division(Y,X)
% Current number of equations to process: 925
% Current number of ordered equations: 360
% Current number of rules: 366
% New rule produced :
% [772]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 925
% Current number of ordered equations: 359
% Current number of rules: 367
% New rule produced :
% [773]
% right_division(right_division(X,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(Y,X)))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(X,
% right_division(Y,X)))))
% Current number of equations to process: 925
% Current number of ordered equations: 358
% Current number of rules: 368
% New rule produced :
% [774]
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(Y,
% right_division(X,Y)))),
% right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X)))))))
% -> right_division(X,Y)
% Current number of equations to process: 922
% Current number of ordered equations: 360
% Current number of rules: 369
% New rule produced :
% [775]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(right_division(identity,c),right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))
% Current number of equations to process: 922
% Current number of ordered equations: 359
% Current number of rules: 370
% New rule produced :
% [776]
% right_division(right_division(identity,c),right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 922
% Current number of ordered equations: 358
% Current number of rules: 371
% New rule produced :
% [777]
% right_division(right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(identity,right_division(right_division(identity,X),right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% Current number of equations to process: 922
% Current number of ordered equations: 354
% Current number of rules: 372
% New rule produced :
% [778]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))))
% -> right_division(X,Y)
% Current number of equations to process: 922
% Current number of ordered equations: 353
% Current number of rules: 373
% New rule produced :
% [779]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 921
% Current number of ordered equations: 352
% Current number of rules: 374
% New rule produced :
% [780]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 920
% Current number of ordered equations: 353
% Current number of rules: 375
% New rule produced :
% [781]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% Current number of equations to process: 920
% Current number of ordered equations: 352
% Current number of rules: 376
% New rule produced :
% [782]
% right_division(identity,right_division(right_division(X,Y),right_division(X,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 918
% Current number of ordered equations: 351
% Current number of rules: 377
% New rule produced :
% [783]
% right_division(Y,right_division(right_division(identity,Y),right_division(Y,X)))
% <->
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% Current number of equations to process: 915
% Current number of ordered equations: 353
% Current number of rules: 378
% New rule produced :
% [784]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% ->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 915
% Current number of ordered equations: 352
% Current number of rules: 379
% New rule produced :
% [785]
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% <->
% right_division(Y,right_division(right_division(identity,Y),right_division(Y,X)))
% Current number of equations to process: 915
% Current number of ordered equations: 351
% Current number of rules: 380
% New rule produced :
% [786]
% right_division(identity,right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(X,Y)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,Y)))))))))
% ->
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 915
% Current number of ordered equations: 347
% Current number of rules: 381
% New rule produced :
% [787]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X)))))))
% -> right_division(Y,X)
% Current number of equations to process: 915
% Current number of ordered equations: 346
% Current number of rules: 382
% New rule produced :
% [788]
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X)))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(
% right_division(Y,X),
% right_division(identity,Y))))
% Current number of equations to process: 913
% Current number of ordered equations: 347
% Current number of rules: 383
% New rule produced :
% [789]
% right_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(
% right_division(Y,X),
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X)))))))
% Current number of equations to process: 913
% Current number of ordered equations: 346
% Current number of rules: 384
% Rule [606]
% right_division(identity,right_division(Y,right_division(X,right_division(
% right_division(identity,Z),Y))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,Y))) is composed into 
% [606]
% right_division(identity,right_division(Y,right_division(X,right_division(
% right_division(identity,Z),Y))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Rule [288]
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,Y))) is composed into 
% [288]
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% New rule produced :
% [790]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,Y)))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Rule
% [607]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,Y)))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(
% right_division(identity,Z),Y))))
% collapsed.
% Rule
% [762]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Z),Y)))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(Z,Y))))
% collapsed.
% Current number of equations to process: 915
% Current number of ordered equations: 342
% Current number of rules: 383
% New rule produced :
% [791]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))))
% <->
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z))
% Current number of equations to process: 915
% Current number of ordered equations: 341
% Current number of rules: 384
% New rule produced :
% [792]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z)) <->
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))))
% Current number of equations to process: 915
% Current number of ordered equations: 340
% Current number of rules: 385
% New rule produced :
% [793]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,V_3))
% Current number of equations to process: 915
% Current number of ordered equations: 339
% Current number of rules: 386
% New rule produced :
% [794]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(V_3,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,V_3))))
% Current number of equations to process: 915
% Current number of ordered equations: 337
% Current number of rules: 387
% New rule produced :
% [795]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,V_3))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(V_3,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))))))
% Rule
% [329]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,Y)))) <->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [637]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [784]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% ->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Current number of equations to process: 928
% Current number of ordered equations: 324
% Current number of rules: 385
% New rule produced :
% [796]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,V_3)) <->
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y))))))))))
% Current number of equations to process: 928
% Current number of ordered equations: 323
% Current number of rules: 386
% New rule produced :
% [797]
% right_division(identity,right_division(Z,right_division(right_division(X,Y),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% <->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 928
% Current number of ordered equations: 322
% Current number of rules: 387
% New rule produced :
% [798]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(Z,right_division(right_division(X,Y),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% Rule
% [384]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Current number of equations to process: 929
% Current number of ordered equations: 317
% Current number of rules: 387
% New rule produced :
% [799]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(X,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Z,
% right_division(identity,X))))
% Current number of equations to process: 929
% Current number of ordered equations: 316
% Current number of rules: 388
% New rule produced :
% [800]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Z,
% right_division(identity,X))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(X,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 929
% Current number of ordered equations: 315
% Current number of rules: 389
% New rule produced :
% [801]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(X,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X))))
% Current number of equations to process: 929
% Current number of ordered equations: 314
% Current number of rules: 390
% New rule produced :
% [802]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(Y,right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% -> right_division(right_division(identity,Y),right_division(identity,Z))
% Current number of equations to process: 929
% Current number of ordered equations: 313
% Current number of rules: 391
% New rule produced :
% [803]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)))))),
% right_division(right_division(identity,Z),right_division(identity,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)))))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,Z),
% right_division(identity,Y)))
% Current number of equations to process: 929
% Current number of ordered equations: 311
% Current number of rules: 392
% New rule produced :
% [804]
% right_division(identity,right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(X,Y)),
% right_division(Y,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))
% Current number of equations to process: 929
% Current number of ordered equations: 310
% Current number of rules: 393
% New rule produced :
% [805]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(X,Y)),
% right_division(Y,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 929
% Current number of ordered equations: 309
% Current number of rules: 394
% New rule produced :
% [806]
% right_division(identity,right_division(right_division(X,Y),right_division(
% right_division(X,Y),
% right_division(Y,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Z,
% right_division(identity,Y))))
% Current number of equations to process: 929
% Current number of ordered equations: 308
% Current number of rules: 395
% New rule produced :
% [807]
% right_division(Z,Y) <->
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(Y,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 929
% Current number of ordered equations: 307
% Current number of rules: 396
% New rule produced :
% [808]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(Y,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% <-> right_division(Z,Y)
% Current number of equations to process: 929
% Current number of ordered equations: 306
% Current number of rules: 397
% New rule produced :
% [809]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,V_3))))
% Current number of equations to process: 929
% Current number of ordered equations: 305
% Current number of rules: 398
% Rule [717]
% right_division(identity,right_division(X,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))) is composed into 
% [717]
% right_division(identity,right_division(X,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Y))))))))))))
% New rule produced :
% [810]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,V_3))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% Rule
% [766]
% right_division(identity,right_division(right_division(Y,right_division(identity,X)),
% right_division(X,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% collapsed.
% Current number of equations to process: 941
% Current number of ordered equations: 293
% Current number of rules: 398
% New rule produced :
% [811]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,V_3)))),
% right_division(identity,Y)) <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(V_3,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 292
% Current number of rules: 399
% New rule produced :
% [812]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(V_3,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,V_3)))),
% right_division(identity,Y))
% Current number of equations to process: 941
% Current number of ordered equations: 291
% Current number of rules: 400
% New rule produced :
% [813]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,V_3)))),
% right_division(identity,Y)) <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 290
% Current number of rules: 401
% New rule produced :
% [814]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,V_3)))),
% right_division(identity,Y))
% Current number of equations to process: 941
% Current number of ordered equations: 289
% Current number of rules: 402
% New rule produced :
% [815]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,Z),V_3),right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,V_3))))))
% Current number of equations to process: 941
% Current number of ordered equations: 288
% Current number of rules: 403
% New rule produced :
% [816]
% right_division(right_division(right_division(X,Z),V_3),right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,V_3))))))
% <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,V_3))
% Current number of equations to process: 941
% Current number of ordered equations: 287
% Current number of rules: 404
% New rule produced :
% [817]
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Z))))))
% <->
% right_division(right_division(Y,right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,Z))
% Current number of equations to process: 941
% Current number of ordered equations: 286
% Current number of rules: 405
% New rule produced :
% [818]
% right_division(right_division(Y,right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,Z)) <->
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Z))))))
% Current number of equations to process: 941
% Current number of ordered equations: 285
% Current number of rules: 406
% New rule produced :
% [819]
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,Z))))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,Z))
% Current number of equations to process: 941
% Current number of ordered equations: 284
% Current number of rules: 407
% New rule produced :
% [820]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,Z)) <->
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,Z))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 283
% Current number of rules: 408
% New rule produced :
% [821]
% right_division(right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% Current number of equations to process: 941
% Current number of ordered equations: 282
% Current number of rules: 409
% New rule produced :
% [822]
% right_division(right_division(right_division(X,Y),Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(right_division(identity,
% right_division(Y,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z))))))
% ->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,Z))
% Current number of equations to process: 941
% Current number of ordered equations: 281
% Current number of rules: 410
% Rule [717]
% right_division(identity,right_division(X,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Y)))))))))))) is composed into 
% [717]
% right_division(identity,right_division(X,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(Y,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))))))))
% New rule produced :
% [823]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)))) <->
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 280
% Current number of rules: 411
% New rule produced :
% [824]
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X))))
% Current number of equations to process: 941
% Current number of ordered equations: 279
% Current number of rules: 412
% New rule produced :
% [825]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% Current number of equations to process: 941
% Current number of ordered equations: 278
% Current number of rules: 413
% New rule produced :
% [826]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 941
% Current number of ordered equations: 277
% Current number of rules: 414
% New rule produced :
% [827]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 941
% Current number of ordered equations: 276
% Current number of rules: 415
% New rule produced :
% [828]
% right_division(right_division(identity,right_division(X,Y)),right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,Y)))))
% Current number of equations to process: 941
% Current number of ordered equations: 275
% Current number of rules: 416
% New rule produced :
% [829]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(right_division(identity,right_division(X,Y)),
% right_division(Y,right_division(Y,right_division(identity,X))))))
% ->
% right_division(identity,right_division(right_division(identity,Y),right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% Current number of equations to process: 940
% Current number of ordered equations: 275
% Current number of rules: 417
% New rule produced :
% [830]
% right_division(right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))),
% right_division(identity,Z)) <->
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,Z))
% Current number of equations to process: 939
% Current number of ordered equations: 276
% Current number of rules: 418
% New rule produced :
% [831]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,Z)) <->
% right_division(right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))),
% right_division(identity,Z))
% Current number of equations to process: 939
% Current number of ordered equations: 275
% Current number of rules: 419
% New rule produced :
% [832]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 938
% Current number of ordered equations: 274
% Current number of rules: 420
% New rule produced :
% [833]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% Current number of equations to process: 938
% Current number of ordered equations: 273
% Current number of rules: 421
% New rule produced :
% [834]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 938
% Current number of ordered equations: 272
% Current number of rules: 422
% New rule produced :
% [835]
% right_division(identity,right_division(right_division(Y,right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 937
% Current number of ordered equations: 269
% Current number of rules: 423
% New rule produced :
% [836]
% right_division(identity,right_division(right_division(Y,X),right_division(identity,
% right_division(X,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 937
% Current number of ordered equations: 267
% Current number of rules: 424
% New rule produced :
% [837]
% right_division(identity,right_division(right_division(identity,Y),right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% <->
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(
% right_division(Y,
% right_division(Y,
% right_division(identity,X))),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))))
% Current number of equations to process: 935
% Current number of ordered equations: 268
% Current number of rules: 425
% New rule produced :
% [838]
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(
% right_division(Y,
% right_division(Y,
% right_division(identity,X))),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% Current number of equations to process: 935
% Current number of ordered equations: 267
% Current number of rules: 426
% New rule produced :
% [839]
% right_division(Z,right_division(right_division(identity,Z),right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Z))),
% right_division(identity,Y))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Z))))
% Current number of equations to process: 935
% Current number of ordered equations: 266
% Current number of rules: 427
% New rule produced :
% [840]
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Z))))
% <->
% right_division(Z,right_division(right_division(identity,Z),right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Z))),
% right_division(identity,Y))))
% Current number of equations to process: 935
% Current number of ordered equations: 265
% Current number of rules: 428
% New rule produced :
% [841]
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(Z,
% right_division(X,
% right_division(identity,Y)))))
% Current number of equations to process: 935
% Current number of ordered equations: 264
% Current number of rules: 429
% New rule produced :
% [842]
% right_division(identity,right_division(right_division(identity,Y),right_division(Z,
% right_division(X,
% right_division(identity,Y)))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))))
% Current number of equations to process: 935
% Current number of ordered equations: 263
% Current number of rules: 430
% New rule produced :
% [843]
% right_division(Z,right_division(identity,Y)) <->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(X,Y)),
% right_division(identity,Z))))))
% Current number of equations to process: 935
% Current number of ordered equations: 262
% Current number of rules: 431
% New rule produced :
% [844]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(X,Y)),
% right_division(identity,Z)))))) <->
% right_division(Z,right_division(identity,Y))
% Current number of equations to process: 935
% Current number of ordered equations: 261
% Current number of rules: 432
% New rule produced :
% [845]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,X))) ->
% right_division(right_division(identity,c),right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))
% Current number of equations to process: 934
% Current number of ordered equations: 261
% Current number of rules: 433
% New rule produced :
% [846]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))))
% Current number of equations to process: 932
% Current number of ordered equations: 260
% Current number of rules: 434
% Rule [783]
% right_division(Y,right_division(right_division(identity,Y),right_division(Y,X)))
% <->
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))) is composed into 
% [783]
% right_division(Y,right_division(right_division(identity,Y),right_division(Y,X)))
% <->
% right_division(identity,right_division(X,right_division(Y,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% New rule produced :
% [847]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Rule
% [593]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))
% -> right_division(right_division(identity,Y),right_division(identity,X))
% collapsed.
% Rule
% [785]
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% <->
% right_division(Y,right_division(right_division(identity,Y),right_division(Y,X)))
% collapsed.
% Current number of equations to process: 934
% Current number of ordered equations: 259
% Current number of rules: 433
% New rule produced :
% [848]
% right_division(right_division(X,right_division(Y,X)),right_division(identity,
% right_division(right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X)))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 930
% Current number of ordered equations: 257
% Current number of rules: 434
% New rule produced :
% [849]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% Current number of equations to process: 929
% Current number of ordered equations: 256
% Current number of rules: 435
% New rule produced :
% [850]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(Y,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(Z,right_division(Y,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,Y))
% Current number of equations to process: 929
% Current number of ordered equations: 255
% Current number of rules: 436
% New rule produced :
% [851]
% right_division(identity,right_division(Z,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 929
% Current number of ordered equations: 254
% Current number of rules: 437
% New rule produced :
% [852]
% right_division(right_division(identity,right_division(X,right_division(X,Y))),
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(X,Y),
% right_division(identity,X))))
% Current number of equations to process: 929
% Current number of ordered equations: 253
% Current number of rules: 438
% New rule produced :
% [853]
% right_division(right_division(identity,right_division(X,right_division(X,Y))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(identity,X))))
% Current number of equations to process: 929
% Current number of ordered equations: 252
% Current number of rules: 439
% New rule produced :
% [854]
% right_division(identity,right_division(right_division(identity,Z),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(Z,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,Z))
% Current number of equations to process: 928
% Current number of ordered equations: 253
% Current number of rules: 440
% New rule produced :
% [855]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,Z)) <->
% right_division(identity,right_division(right_division(identity,Z),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(Z,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% Current number of equations to process: 928
% Current number of ordered equations: 252
% Current number of rules: 441
% New rule produced :
% [856]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X))))
% Current number of equations to process: 927
% Current number of ordered equations: 251
% Current number of rules: 442
% New rule produced :
% [857]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% Current number of equations to process: 927
% Current number of ordered equations: 250
% Current number of rules: 443
% New rule produced :
% [858]
% right_division(X,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 926
% Current number of ordered equations: 250
% Current number of rules: 444
% New rule produced :
% [859]
% right_division(X,right_division(identity,right_division(Z,right_division(
% right_division(identity,Z),
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(right_division(Y,Z),right_division(
% right_division(X,
% right_division(Y,Z)),
% right_division(Z,
% right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 924
% Current number of ordered equations: 251
% Current number of rules: 445
% New rule produced :
% [860]
% right_division(identity,right_division(right_division(Y,Z),right_division(
% right_division(X,
% right_division(Y,Z)),
% right_division(Z,
% right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(Z,right_division(
% right_division(identity,Z),
% right_division(identity,Y)))))
% Current number of equations to process: 924
% Current number of ordered equations: 250
% Current number of rules: 446
% New rule produced :
% [861]
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,X)),right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% ->
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))
% Current number of equations to process: 924
% Current number of ordered equations: 249
% Current number of rules: 447
% New rule produced :
% [862]
% right_division(X,right_division(right_division(identity,X),right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% -> right_division(X,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 924
% Current number of ordered equations: 246
% Current number of rules: 448
% New rule produced :
% [863]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,Y)),X)))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))
% Current number of equations to process: 924
% Current number of ordered equations: 245
% Current number of rules: 449
% New rule produced :
% [864]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,Y)),X)))
% Current number of equations to process: 924
% Current number of ordered equations: 244
% Current number of rules: 450
% New rule produced :
% [865]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,Z))),right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,Z))))
% Current number of equations to process: 923
% Current number of ordered equations: 244
% Current number of rules: 451
% New rule produced :
% [866]
% right_division(right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))),
% right_division(Y,right_division(identity,right_division(Y,right_division(X,Y)))))
% -> right_division(identity,Y)
% Rule
% [625]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(Y,right_division(identity,right_division(Y,
% right_division(X,Y))))))
% -> Y collapsed.
% Current number of equations to process: 922
% Current number of ordered equations: 244
% Current number of rules: 451
% New rule produced :
% [867]
% right_division(right_division(X,right_division(Y,X)),right_division(right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,X))) ->
% right_division(Y,X)
% Current number of equations to process: 922
% Current number of ordered equations: 243
% Current number of rules: 452
% New rule produced :
% [868]
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,right_division(Z,Y)))))
% Current number of equations to process: 922
% Current number of ordered equations: 242
% Current number of rules: 453
% New rule produced :
% [869]
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,right_division(Z,Y)))))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% Current number of equations to process: 922
% Current number of ordered equations: 241
% Current number of rules: 454
% New rule produced :
% [870]
% right_division(identity,right_division(right_division(X,Y),right_division(X,
% right_division(Y,
% right_division(identity,Y)))))
% -> right_division(identity,right_division(X,right_division(X,Y)))
% Current number of equations to process: 922
% Current number of ordered equations: 238
% Current number of rules: 455
% New rule produced :
% [871]
% right_division(X,right_division(Y,right_division(identity,Y))) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% Current number of equations to process: 921
% Current number of ordered equations: 239
% Current number of rules: 456
% New rule produced :
% [872]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% <-> right_division(X,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 921
% Current number of ordered equations: 238
% Current number of rules: 457
% New rule produced :
% [873]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,X)))) ->
% right_division(right_division(X,Y),right_division(identity,X))
% Current number of equations to process: 921
% Current number of ordered equations: 237
% Current number of rules: 458
% New rule produced :
% [874]
% right_division(right_division(X,Y),right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,Y))))))
% -> right_division(identity,right_division(Y,right_division(identity,X)))
% Rule
% [642]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X)))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Current number of equations to process: 921
% Current number of ordered equations: 235
% Current number of rules: 458
% New rule produced :
% [875]
% right_division(right_division(X,right_division(X,Y)),right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(X,Y)))))
% -> right_division(identity,right_division(Y,right_division(X,Y)))
% Current number of equations to process: 921
% Current number of ordered equations: 232
% Current number of rules: 459
% New rule produced :
% [876]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,Y)))))
% -> right_division(Y,right_division(identity,right_division(X,Y)))
% Rule
% [636]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% -> X collapsed.
% Rule
% [698]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(X,Y)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,Y)))))))))
% ->
% right_division(Y,right_division(identity,right_division(X,right_division(identity,Y))))
% collapsed.
% Rule
% [699]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Rule
% [700]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(X,Y))))))))
% -> Y collapsed.
% Rule
% [702]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(right_division(identity,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X))))))
% -> X collapsed.
% Rule
% [703]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,
% right_division(Z,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,Y)))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% collapsed.
% Rule
% [733]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(X,Y))))))))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Current number of equations to process: 931
% Current number of ordered equations: 225
% Current number of rules: 453
% New rule produced :
% [877]
% right_division(right_division(X,Y),right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,X),
% right_division(X,Y)))))
% -> right_division(identity,right_division(Y,right_division(X,Y)))
% Rule
% [513]
% right_division(identity,right_division(right_division(X,Y),right_division(X,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),
% right_division(X,Y))))))
% -> right_division(Y,right_division(X,Y)) collapsed.
% Current number of equations to process: 930
% Current number of ordered equations: 225
% Current number of rules: 453
% New rule produced :
% [878]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,X)))))
% -> right_division(Y,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 930
% Current number of ordered equations: 224
% Current number of rules: 454
% New rule produced :
% [879]
% right_division(right_division(X,right_division(Y,Z)),right_division(identity,
% right_division(Y,
% right_division(Z,Y))))
% ->
% right_division(identity,right_division(Z,right_division(X,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% Rule
% [522]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(Y,X))))
% -> right_division(Y,right_division(Y,X)) collapsed.
% Current number of equations to process: 929
% Current number of ordered equations: 224
% Current number of rules: 454
% Rule [825]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))))))))))) is composed into 
% [825]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(X,right_division(X,right_division(X,right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))
% Rule [791]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))))
% <->
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z)) is composed into [791]
% right_division(identity,
% right_division(right_division(Y,X),
% right_division(X,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))))
% <->
% right_division(right_division(X,
% right_division(X,Y)),
% right_division(identity,Z))
% Rule [722]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))) is composed into 
% [722]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% <->
% right_division(X,right_division(X,right_division(Y,right_division(identity,Y))))
% Rule [654]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,Y)) <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))) is composed into 
% [654]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,Y)) <->
% right_division(X,right_division(X,right_division(X,right_division(identity,
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Rule [560]
% right_division(Y,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,right_division(Y,
% right_division(identity,X)))))) is composed into 
% [560]
% right_division(Y,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(Y,right_division(Y,right_division(Y,X))))
% Rule [557]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y)))))) is composed into 
% [557]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))))
% <->
% right_division(X,right_division(X,right_division(X,right_division(identity,Y))))
% Rule [538]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))
% <->
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(Y,X)))) is composed into 
% [538]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))
% <->
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(Z,
% right_division(Y,X))))
% Rule [532]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% <->
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(identity,Z)))) is composed into 
% [532]
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% <->
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(right_division(identity,
% right_division(Y,X)),
% right_division(identity,Z))))
% Rule [448]
% right_division(X,right_division(identity,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(X,right_division(identity,Y)))) is composed into 
% [448]
% right_division(X,right_division(identity,right_division(Y,X))) <->
% right_division(X,right_division(X,Y))
% New rule produced :
% [880]
% right_division(identity,right_division(Y,right_division(Y,right_division(identity,X))))
% -> right_division(Y,right_division(Y,X))
% Rule
% [399]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(X,right_division(X,right_division(identity,Y)))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(X,
% right_division(identity,Y)))))))
% collapsed.
% Rule
% [449]
% right_division(identity,right_division(X,right_division(X,right_division(identity,Y))))
% <-> right_division(X,right_division(identity,right_division(Y,X))) collapsed.
% Rule
% [524]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [533]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% collapsed.
% Rule
% [539]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(Y,X)))) <->
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))
% collapsed.
% Rule
% [553]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(Y,right_division(identity,X)))))
% -> right_division(X,Y) collapsed.
% Rule
% [555]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Rule
% [558]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))))
% collapsed.
% Rule
% [559]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(Y,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))))
% collapsed.
% Rule
% [575]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Rule
% [631]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% collapsed.
% Rule
% [635]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(right_division(Y,X),
% right_division(identity,Y))))) ->
% right_division(X,right_division(Y,X)) collapsed.
% Rule
% [643]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))))),
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,Z)))
% -> X collapsed.
% Rule
% [653]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,Y)) collapsed.
% Rule
% [657]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))
% collapsed.
% Rule
% [662]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))),
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Z)))))
% -> X collapsed.
% Rule
% [673]
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))))
% -> X collapsed.
% Rule
% [695]
% right_division(identity,right_division(right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))))
% -> X collapsed.
% Rule
% [719]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,X))))
% collapsed.
% Rule
% [723]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% collapsed.
% Rule
% [742]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))),
% right_division(Y,right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Z))))) -> X
% collapsed.
% Rule
% [792]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z)) <->
% right_division(identity,right_division(right_division(Y,X),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))))
% collapsed.
% Rule
% [822]
% right_division(right_division(right_division(X,Y),Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(right_division(identity,
% right_division(Y,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z))))))
% ->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,Z)) collapsed.
% Rule
% [826]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% collapsed.
% Rule
% [827]
% right_division(identity,right_division(X,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% collapsed.
% Rule
% [836]
% right_division(identity,right_division(right_division(Y,X),right_division(identity,
% right_division(X,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Rule
% [852]
% right_division(right_division(identity,right_division(X,right_division(X,Y))),
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(X,Y),
% right_division(identity,X))))
% collapsed.
% Current number of equations to process: 963
% Current number of ordered equations: 210
% Current number of rules: 428
% New rule produced :
% [881]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(Y,right_division(Y,X))) -> right_division(X,Y)
% Current number of equations to process: 962
% Current number of ordered equations: 210
% Current number of rules: 429
% New rule produced :
% [882]
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(X,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 959
% Current number of ordered equations: 209
% Current number of rules: 430
% New rule produced :
% [883]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,X)))
% ->
% right_division(Y,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% Rule
% [471]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))
% ->
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% collapsed.
% Current number of equations to process: 959
% Current number of ordered equations: 209
% Current number of rules: 430
% New rule produced :
% [884]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Rule
% [546]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Current number of equations to process: 959
% Current number of ordered equations: 207
% Current number of rules: 430
% New rule produced :
% [885]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% Rule
% [526]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))
% collapsed.
% Current number of equations to process: 959
% Current number of ordered equations: 205
% Current number of rules: 430
% New rule produced :
% [886]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Rule
% [525]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% collapsed.
% Current number of equations to process: 959
% Current number of ordered equations: 203
% Current number of rules: 430
% New rule produced :
% [887]
% right_division(right_division(X,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% Rule
% [285]
% right_division(right_division(X,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,Z)) collapsed.
% Rule
% [817]
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Z))))))
% <->
% right_division(right_division(Y,right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,Z)) collapsed.
% Current number of equations to process: 959
% Current number of ordered equations: 192
% Current number of rules: 429
% New rule produced :
% [888]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(right_division(X,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% Rule
% [286]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,Z)) <->
% right_division(right_division(X,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))
% collapsed.
% Rule
% [818]
% right_division(right_division(Y,right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,Z)) <->
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Z))))))
% collapsed.
% Current number of equations to process: 959
% Current number of ordered equations: 185
% Current number of rules: 428
% New rule produced :
% [889]
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(Z,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),Z))))))))))))))))))
% <->
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,Z))))))))))))))
% Current number of equations to process: 957
% Current number of ordered equations: 186
% Current number of rules: 429
% New rule produced :
% [890]
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,Z))))))))))))))
% <->
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(Z,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),Z))))))))))))))))))
% Current number of equations to process: 957
% Current number of ordered equations: 185
% Current number of rules: 430
% New rule produced :
% [891]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X))))))
% -> X
% Current number of equations to process: 957
% Current number of ordered equations: 184
% Current number of rules: 431
% New rule produced :
% [892]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 957
% Current number of ordered equations: 182
% Current number of rules: 432
% New rule produced :
% [893]
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 957
% Current number of ordered equations: 180
% Current number of rules: 433
% New rule produced :
% [894]
% right_division(right_division(X,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 957
% Current number of ordered equations: 179
% Current number of rules: 434
% New rule produced :
% [895]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(right_division(identity,Y),right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))))
% -> Y
% Current number of equations to process: 956
% Current number of ordered equations: 179
% Current number of rules: 435
% New rule produced :
% [896]
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% ->
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 956
% Current number of ordered equations: 177
% Current number of rules: 436
% New rule produced :
% [897]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(right_division(Y,X),
% right_division(identity,Y)))))
% -> right_division(X,right_division(Y,X))
% Current number of equations to process: 955
% Current number of ordered equations: 177
% Current number of rules: 437
% New rule produced :
% [898]
% right_division(identity,right_division(X,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(Y,X))))) ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% Current number of equations to process: 954
% Current number of ordered equations: 177
% Current number of rules: 438
% New rule produced :
% [899]
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% ->
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 954
% Current number of ordered equations: 175
% Current number of rules: 439
% New rule produced :
% [900]
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),
% right_division(identity,Z))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 954
% Current number of ordered equations: 174
% Current number of rules: 440
% New rule produced :
% [901]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),
% right_division(identity,Z))))
% Current number of equations to process: 954
% Current number of ordered equations: 173
% Current number of rules: 441
% New rule produced :
% [902]
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))
% Current number of equations to process: 952
% Current number of ordered equations: 173
% Current number of rules: 442
% New rule produced :
% [903]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% Current number of equations to process: 950
% Current number of ordered equations: 174
% Current number of rules: 443
% New rule produced :
% [904]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z))))
% Current number of equations to process: 950
% Current number of ordered equations: 173
% Current number of rules: 444
% New rule produced :
% [905]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% -> Y
% Rule
% [561]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% -> right_division(identity,Y) collapsed.
% Current number of equations to process: 948
% Current number of ordered equations: 172
% Current number of rules: 444
% New rule produced :
% [906]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X)))
% -> Y
% Current number of equations to process: 947
% Current number of ordered equations: 172
% Current number of rules: 445
% New rule produced :
% [907]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(identity,Y))),
% right_division(Y,right_division(identity,right_division(Y,
% right_division(X,Y))))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% Current number of equations to process: 946
% Current number of ordered equations: 172
% Current number of rules: 446
% New rule produced :
% [908]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(right_division(identity,X),right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))))
% Current number of equations to process: 945
% Current number of ordered equations: 173
% Current number of rules: 447
% New rule produced :
% [909]
% right_division(right_division(identity,X),right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 945
% Current number of ordered equations: 172
% Current number of rules: 448
% New rule produced :
% [910]
% right_division(X,right_division(identity,right_division(right_division(identity,c),
% right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(Y,X),right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% Current number of equations to process: 943
% Current number of ordered equations: 173
% Current number of rules: 449
% New rule produced :
% [911]
% right_division(right_division(Y,X),right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,c),
% right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))))
% Current number of equations to process: 943
% Current number of ordered equations: 172
% Current number of rules: 450
% New rule produced :
% [912]
% right_division(identity,right_division(right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))))))))))))))))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 942
% Current number of ordered equations: 172
% Current number of rules: 451
% New rule produced :
% [913]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% Current number of equations to process: 942
% Current number of ordered equations: 171
% Current number of rules: 452
% New rule produced :
% [914]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% Current number of equations to process: 940
% Current number of ordered equations: 171
% Current number of rules: 453
% New rule produced :
% [915]
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))),
% right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% Current number of equations to process: 939
% Current number of ordered equations: 171
% Current number of rules: 454
% New rule produced :
% [916]
% right_division(identity,right_division(right_division(identity,X),right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),Y))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 934
% Current number of ordered equations: 172
% Current number of rules: 455
% New rule produced :
% [917]
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% <->
% right_division(identity,right_division(right_division(identity,X),right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),Y))))
% Current number of equations to process: 934
% Current number of ordered equations: 171
% Current number of rules: 456
% New rule produced :
% [918]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 932
% Current number of ordered equations: 172
% Current number of rules: 457
% New rule produced :
% [919]
% right_division(X,right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))))
% ->
% right_division(right_division(identity,Y),right_division(identity,right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))
% Current number of equations to process: 932
% Current number of ordered equations: 171
% Current number of rules: 458
% New rule produced :
% [920]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% Current number of equations to process: 930
% Current number of ordered equations: 172
% Current number of rules: 459
% New rule produced :
% [921]
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 930
% Current number of ordered equations: 171
% Current number of rules: 460
% New rule produced :
% [922]
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,X)))))))))))
% Current number of equations to process: 930
% Current number of ordered equations: 169
% Current number of rules: 461
% New rule produced :
% [923]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(right_division(identity,Y),right_division(right_division(identity,X),
% right_division(identity,Y)))) ->
% right_division(Y,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))
% Current number of equations to process: 928
% Current number of ordered equations: 169
% Current number of rules: 462
% New rule produced :
% [924]
% right_division(right_division(right_division(identity,Y),right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> X
% Current number of equations to process: 928
% Current number of ordered equations: 168
% Current number of rules: 463
% New rule produced :
% [925]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y))))))
% ->
% right_division(identity,right_division(right_division(identity,X),right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 927
% Current number of ordered equations: 168
% Current number of rules: 464
% New rule produced :
% [926]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,Y)))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,Y)))))))
% Current number of equations to process: 927
% Current number of ordered equations: 167
% Current number of rules: 465
% New rule produced :
% [927]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(Y,right_division(Y,right_division(identity,X)))) ->
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(identity,Y)))))))
% Current number of equations to process: 927
% Current number of ordered equations: 165
% Current number of rules: 466
% New rule produced :
% [928]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% Current number of equations to process: 927
% Current number of ordered equations: 164
% Current number of rules: 467
% New rule produced :
% [929]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% Current number of equations to process: 926
% Current number of ordered equations: 164
% Current number of rules: 468
% New rule produced :
% [930]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X)))))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(Y,X))))) ->
% right_division(identity,right_division(X,right_division(right_division(Y,X),
% right_division(identity,Y))))
% Current number of equations to process: 924
% Current number of ordered equations: 164
% Current number of rules: 469
% New rule produced :
% [931]
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,Z)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% Current number of equations to process: 924
% Current number of ordered equations: 163
% Current number of rules: 470
% New rule produced :
% [932]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X))))),
% right_division(identity,Z))))
% Current number of equations to process: 924
% Current number of ordered equations: 162
% Current number of rules: 471
% New rule produced :
% [933]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X)))))))
% <->
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 922
% Current number of ordered equations: 163
% Current number of rules: 472
% New rule produced :
% [934]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X)))))))
% Current number of equations to process: 922
% Current number of ordered equations: 162
% Current number of rules: 473
% New rule produced :
% [935]
% right_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))))))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 920
% Current number of ordered equations: 162
% Current number of rules: 474
% Rule [652]
% right_division(right_division(X,right_division(identity,Y)),Z) <->
% right_division(identity,right_division(Z,right_division(identity,
% right_division(Z,right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))))) is composed into 
% [652]
% right_division(right_division(X,right_division(identity,Y)),Z) <->
% right_division(identity,right_division(Z,right_division(X,right_division(identity,Y))))
% New rule produced :
% [936]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% -> right_division(X,right_division(identity,Y))
% Rule
% [651]
% right_division(identity,right_division(Z,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% <-> right_division(right_division(X,right_division(identity,Y)),Z) collapsed.
% Rule
% [668]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Current number of equations to process: 920
% Current number of ordered equations: 161
% Current number of rules: 473
% New rule produced :
% [937]
% right_division(identity,right_division(Z,right_division(identity,right_division(Z,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))))
% ->
% right_division(identity,right_division(Z,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Current number of equations to process: 920
% Current number of ordered equations: 160
% Current number of rules: 474
% New rule produced :
% [938]
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))))))
% <->
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Z),
% right_division(identity,Y))),
% right_division(identity,V_3))))
% Current number of equations to process: 920
% Current number of ordered equations: 159
% Current number of rules: 475
% New rule produced :
% [939]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Z),
% right_division(identity,Y))),
% right_division(identity,V_3)))) <->
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))))))
% Current number of equations to process: 920
% Current number of ordered equations: 158
% Current number of rules: 476
% New rule produced :
% [940]
% right_division(identity,right_division(X,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,X))))))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Z))))
% Current number of equations to process: 920
% Current number of ordered equations: 157
% Current number of rules: 477
% New rule produced :
% [941]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Z))))
% <->
% right_division(identity,right_division(X,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,X))))))
% Current number of equations to process: 920
% Current number of ordered equations: 156
% Current number of rules: 478
% New rule produced :
% [942]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(Y,right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% ->
% right_division(right_division(identity,Y),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% Current number of equations to process: 920
% Current number of ordered equations: 155
% Current number of rules: 479
% New rule produced :
% [943]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% Current number of equations to process: 920
% Current number of ordered equations: 154
% Current number of rules: 480
% New rule produced :
% [944]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Current number of equations to process: 920
% Current number of ordered equations: 153
% Current number of rules: 481
% New rule produced :
% [945]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Z))))))
% Current number of equations to process: 920
% Current number of ordered equations: 152
% Current number of rules: 482
% New rule produced :
% [946]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))
% Current number of equations to process: 920
% Current number of ordered equations: 151
% Current number of rules: 483
% New rule produced :
% [947]
% right_division(right_division(X,right_division(V_3,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,V_3)))))),
% right_division(right_division(identity,V_3),right_division(identity,Z))) <->
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,V_3),
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,V_3),
% right_division(identity,Z))),
% right_division(identity,right_division(Y,right_division(identity,V_3))))))
% Current number of equations to process: 920
% Current number of ordered equations: 150
% Current number of rules: 484
% New rule produced :
% [948]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,V_3),
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,V_3),
% right_division(identity,Z))),
% right_division(identity,right_division(Y,right_division(identity,V_3))))))
% <->
% right_division(right_division(X,right_division(V_3,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,V_3)))))),
% right_division(right_division(identity,V_3),right_division(identity,Z)))
% Current number of equations to process: 920
% Current number of ordered equations: 149
% Current number of rules: 485
% New rule produced :
% [949]
% right_division(identity,right_division(right_division(Z,Y),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,V_3))))))
% <->
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(V_3,right_division(Z,Y))))
% Current number of equations to process: 920
% Current number of ordered equations: 148
% Current number of rules: 486
% New rule produced :
% [950]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(V_3,right_division(Z,Y)))) <->
% right_division(identity,right_division(right_division(Z,Y),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,V_3))))))
% Current number of equations to process: 920
% Current number of ordered equations: 147
% Current number of rules: 487
% New rule produced :
% [951]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Z,X))) ->
% right_division(identity,right_division(X,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,Z))))))
% Current number of equations to process: 920
% Current number of ordered equations: 146
% Current number of rules: 488
% New rule produced :
% [952]
% right_division(identity,right_division(right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(Z,Y))))) <->
% right_division(identity,right_division(Y,right_division(right_division(Z,Y),
% right_division(identity,Z))))
% Current number of equations to process: 918
% Current number of ordered equations: 147
% Current number of rules: 489
% New rule produced :
% [953]
% right_division(identity,right_division(Y,right_division(right_division(Z,Y),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(Z,Y)))))
% Current number of equations to process: 918
% Current number of ordered equations: 146
% Current number of rules: 490
% New rule produced :
% [954]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(X,right_division(identity,right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))))
% <-> right_division(right_division(X,Y),right_division(identity,Z))
% Rule
% [718]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% -> Y collapsed.
% Current number of equations to process: 916
% Current number of ordered equations: 147
% Current number of rules: 490
% New rule produced :
% [955]
% right_division(right_division(X,Y),right_division(identity,Z)) <->
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(X,right_division(identity,right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))))
% Current number of equations to process: 916
% Current number of ordered equations: 146
% Current number of rules: 491
% New rule produced :
% [956]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(Y,
% right_division(identity,Y)))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(Z,Y)))))
% Current number of equations to process: 915
% Current number of ordered equations: 147
% Current number of rules: 492
% New rule produced :
% [957]
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(Z,Y)))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(Y,
% right_division(identity,Y)))))))))
% Current number of equations to process: 915
% Current number of ordered equations: 146
% Current number of rules: 493
% New rule produced :
% [958]
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,V_3))))))
% <->
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(V_3,right_division(right_division(identity,Z),
% right_division(identity,Y)))))
% Current number of equations to process: 915
% Current number of ordered equations: 145
% Current number of rules: 494
% New rule produced :
% [959]
% right_division(identity,right_division(right_division(Z,Y),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Z,Y)))))))
% <->
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(right_division(identity,right_division(Z,Y)),
% right_division(identity,V_3))))
% Current number of equations to process: 915
% Current number of ordered equations: 144
% Current number of rules: 495
% New rule produced :
% [960]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(right_division(identity,right_division(Z,Y)),
% right_division(identity,V_3)))) <->
% right_division(identity,right_division(right_division(Z,Y),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Z,Y)))))))
% Current number of equations to process: 915
% Current number of ordered equations: 143
% Current number of rules: 496
% New rule produced :
% [961]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(V_3,right_division(right_division(identity,Z),
% right_division(identity,Y))))) <->
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,V_3))))))
% Current number of equations to process: 915
% Current number of ordered equations: 142
% Current number of rules: 497
% New rule produced :
% [962]
% right_division(right_division(X,right_division(Z,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,V_3)))))),
% right_division(V_3,Z)) <->
% right_division(right_division(X,right_division(identity,right_division(V_3,Z))),
% right_division(identity,right_division(right_division(identity,right_division(V_3,Z)),
% right_division(identity,right_division(Y,right_division(identity,Z))))))
% Current number of equations to process: 915
% Current number of ordered equations: 141
% Current number of rules: 498
% New rule produced :
% [963]
% right_division(right_division(X,right_division(identity,right_division(V_3,Z))),
% right_division(identity,right_division(right_division(identity,right_division(V_3,Z)),
% right_division(identity,right_division(Y,right_division(identity,Z))))))
% <->
% right_division(right_division(X,right_division(Z,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,V_3)))))),
% right_division(V_3,Z))
% Current number of equations to process: 915
% Current number of ordered equations: 140
% Current number of rules: 499
% New rule produced :
% [964]
% right_division(right_division(Z,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,Y))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 915
% Current number of ordered equations: 139
% Current number of rules: 500
% New rule produced :
% [965]
% right_division(right_division(identity,right_division(Y,right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))))) -> Y
% Current number of equations to process: 915
% Current number of ordered equations: 138
% Current number of rules: 501
% New rule produced :
% [966]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))),
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))))))
% -> Y
% Current number of equations to process: 911
% Current number of ordered equations: 136
% Current number of rules: 502
% New rule produced :
% [967]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 911
% Current number of ordered equations: 135
% Current number of rules: 503
% Rule [935]
% right_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))))))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))) is composed into 
% [935]
% right_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))))))))))
% ->
% right_division(X,right_division(identity,right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))))
% Rule [779]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(X,right_division(identity,
% right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))) is composed into 
% [779]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))))
% New rule produced :
% [968]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% Rule
% [772]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [858]
% right_division(X,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% collapsed.
% Current number of equations to process: 914
% Current number of ordered equations: 133
% Current number of rules: 502
% New rule produced :
% [969]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 914
% Current number of ordered equations: 129
% Current number of rules: 503
% New rule produced :
% [970]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,X)))))))
% <->
% right_division(X,right_division(X,right_division(X,right_division(identity,
% right_division(X,right_division(identity,Y))))))
% Current number of equations to process: 912
% Current number of ordered equations: 130
% Current number of rules: 504
% New rule produced :
% [971]
% right_division(X,right_division(X,right_division(X,right_division(identity,
% right_division(X,right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,X)))))))
% Current number of equations to process: 912
% Current number of ordered equations: 129
% Current number of rules: 505
% New rule produced :
% [972]
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(X,
% right_division(identity,Y)))))
% Current number of equations to process: 911
% Current number of ordered equations: 130
% Current number of rules: 506
% New rule produced :
% [973]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(X,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% Current number of equations to process: 911
% Current number of ordered equations: 129
% Current number of rules: 507
% New rule produced :
% [974]
% right_division(identity,right_division(right_division(X,right_division(identity,Z)),
% right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% ->
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,Z)))))
% Current number of equations to process: 909
% Current number of ordered equations: 128
% Current number of rules: 508
% New rule produced :
% [975]
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 909
% Current number of ordered equations: 125
% Current number of rules: 509
% New rule produced :
% [976]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))),
% right_division(Z,right_division(identity,right_division(Z,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))))))
% -> Z
% Current number of equations to process: 908
% Current number of ordered equations: 125
% Current number of rules: 510
% New rule produced :
% [977]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,X))))))))
% -> X
% Current number of equations to process: 908
% Current number of ordered equations: 124
% Current number of rules: 511
% New rule produced :
% [978]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))),
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))),
% right_division(X,right_division(identity,right_division(Y,right_division(X,
% right_division(identity,X))))))))
% -> X
% Current number of equations to process: 907
% Current number of ordered equations: 124
% Current number of rules: 512
% New rule produced :
% [979]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))))
% -> X
% Current number of equations to process: 907
% Current number of ordered equations: 123
% Current number of rules: 513
% New rule produced :
% [980]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),Y))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% Current number of equations to process: 905
% Current number of ordered equations: 123
% Current number of rules: 514
% New rule produced :
% [981]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(Y,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),Y),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))))
% Current number of equations to process: 903
% Current number of ordered equations: 123
% Current number of rules: 515
% New rule produced :
% [982]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,Z))))))
% -> Z
% Current number of equations to process: 903
% Current number of ordered equations: 122
% Current number of rules: 516
% New rule produced :
% [983]
% right_division(right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Z)),
% right_division(identity,right_division(Y,right_division(identity,Y))))))
% -> Y
% Current number of equations to process: 903
% Current number of ordered equations: 121
% Current number of rules: 517
% New rule produced :
% [984]
% right_division(right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(right_division(identity,Y),right_division(right_division(identity,X),
% right_division(identity,Y)))) -> X
% Current number of equations to process: 902
% Current number of ordered equations: 121
% Current number of rules: 518
% New rule produced :
% [985]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(right_division(identity,
% right_division(Y,X)),
% right_division(right_division(X,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z)))))) <->
% right_division(Z,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 902
% Current number of ordered equations: 120
% Current number of rules: 519
% New rule produced :
% [986]
% right_division(Z,right_division(identity,right_division(Y,X))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(right_division(identity,
% right_division(Y,X)),
% right_division(right_division(X,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))
% Current number of equations to process: 902
% Current number of ordered equations: 119
% Current number of rules: 520
% New rule produced :
% [987]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 900
% Current number of ordered equations: 119
% Current number of rules: 521
% New rule produced :
% [988]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 900
% Current number of ordered equations: 118
% Current number of rules: 522
% New rule produced :
% [989]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 900
% Current number of ordered equations: 117
% Current number of rules: 523
% New rule produced :
% [990]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 899
% Current number of ordered equations: 117
% Current number of rules: 524
% New rule produced :
% [991]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))),
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))
% Current number of equations to process: 899
% Current number of ordered equations: 116
% Current number of rules: 525
% New rule produced :
% [992]
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(Y,right_division(Y,
% right_division(identity,X)))))))
% ->
% right_division(Y,right_division(right_division(identity,Y),right_division(identity,X)))
% Current number of equations to process: 898
% Current number of ordered equations: 116
% Current number of rules: 526
% New rule produced :
% [993]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% ->
% right_division(identity,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% Current number of equations to process: 897
% Current number of ordered equations: 116
% Current number of rules: 527
% New rule produced :
% [994]
% right_division(right_division(right_division(identity,X),right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(Y,X))))) ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% Current number of equations to process: 897
% Current number of ordered equations: 115
% Current number of rules: 528
% New rule produced :
% [995]
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),Y),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 896
% Current number of ordered equations: 115
% Current number of rules: 529
% New rule produced :
% [996]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,X),
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(X,Y))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 895
% Current number of ordered equations: 115
% Current number of rules: 530
% New rule produced :
% [997]
% right_division(identity,right_division(right_division(X,right_division(Y,
% right_division(identity,Y))),
% right_division(Y,right_division(Y,right_division(X,Y)))))
% -> Y
% Current number of equations to process: 894
% Current number of ordered equations: 115
% Current number of rules: 531
% New rule produced :
% [998]
% right_division(right_division(identity,right_division(X,right_division(Y,X))),
% right_division(identity,right_division(X,right_division(X,Y)))) ->
% right_division(identity,right_division(X,right_division(right_division(Y,X),
% right_division(identity,Y))))
% Current number of equations to process: 893
% Current number of ordered equations: 115
% Current number of rules: 532
% New rule produced :
% [999]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))
% Current number of equations to process: 892
% Current number of ordered equations: 115
% Current number of rules: 533
% New rule produced :
% [1000]
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))) <->
% right_division(right_division(identity,X),right_division(Y,right_division(
% right_division(X,Y),
% right_division(identity,X))))
% Current number of equations to process: 892
% Current number of ordered equations: 114
% Current number of rules: 534
% New rule produced :
% [1001]
% right_division(right_division(identity,X),right_division(Y,right_division(
% right_division(X,Y),
% right_division(identity,X))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X))))
% Current number of equations to process: 892
% Current number of ordered equations: 113
% Current number of rules: 535
% New rule produced :
% [1002]
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))
% <->
% right_division(right_division(X,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,X))))
% Current number of equations to process: 891
% Current number of ordered equations: 114
% Current number of rules: 536
% New rule produced :
% [1003]
% right_division(right_division(X,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,X)))) <->
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))
% Current number of equations to process: 891
% Current number of ordered equations: 113
% Current number of rules: 537
% New rule produced :
% [1004]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))
% ->
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))
% Current number of equations to process: 890
% Current number of ordered equations: 112
% Current number of rules: 538
% New rule produced :
% [1005]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 889
% Current number of ordered equations: 111
% Current number of rules: 539
% New rule produced :
% [1006]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,Y))))
% Current number of equations to process: 889
% Current number of ordered equations: 108
% Current number of rules: 540
% New rule produced :
% [1007]
% right_division(identity,right_division(V_3,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% Current number of equations to process: 889
% Current number of ordered equations: 107
% Current number of rules: 541
% New rule produced :
% [1008]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(identity,right_division(V_3,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y))))))))))))
% Current number of equations to process: 889
% Current number of ordered equations: 106
% Current number of rules: 542
% New rule produced :
% [1009]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(Y,
% right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,right_division(Y,
% right_division(identity,Y))))))))
% -> Y
% Current number of equations to process: 888
% Current number of ordered equations: 105
% Current number of rules: 543
% New rule produced :
% [1010]
% right_division(right_division(identity,right_division(right_division(X,Y),
% right_division(identity,Z))),right_division(identity,
% right_division(
% right_division(X,
% right_division(Y,
% right_division(identity,Y))),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% -> Y
% Current number of equations to process: 888
% Current number of ordered equations: 104
% Current number of rules: 544
% New rule produced :
% [1011]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,Z))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% -> Y
% Current number of equations to process: 888
% Current number of ordered equations: 103
% Current number of rules: 545
% New rule produced :
% [1012]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% ->
% right_division(Y,right_division(identity,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Current number of equations to process: 888
% Current number of ordered equations: 102
% Current number of rules: 546
% New rule produced :
% [1013]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,Y))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))
% Current number of equations to process: 887
% Current number of ordered equations: 102
% Current number of rules: 547
% New rule produced :
% [1014]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(Y,X)),
% right_division(identity,
% right_division(X,Y)))))))
% ->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X))))
% Current number of equations to process: 884
% Current number of ordered equations: 102
% Current number of rules: 548
% New rule produced :
% [1015]
% right_division(right_division(X,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 884
% Current number of ordered equations: 101
% Current number of rules: 549
% New rule produced :
% [1016]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(X,right_division(X,right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 880
% Current number of ordered equations: 101
% Current number of rules: 550
% New rule produced :
% [1017]
% right_division(right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 880
% Current number of ordered equations: 100
% Current number of rules: 551
% New rule produced :
% [1018]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(Y,right_division(right_division(identity,Y),right_division(identity,Z))))
% Current number of equations to process: 879
% Current number of ordered equations: 99
% Current number of rules: 552
% New rule produced :
% [1019]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(Y,right_division(right_division(identity,Y),right_division(identity,Z))))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% Current number of equations to process: 879
% Current number of ordered equations: 98
% Current number of rules: 553
% New rule produced :
% [1020]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))),
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 879
% Current number of ordered equations: 97
% Current number of rules: 554
% New rule produced :
% [1021]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% -> X
% Current number of equations to process: 878
% Current number of ordered equations: 96
% Current number of rules: 555
% New rule produced :
% [1022]
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(Y,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))))))))
% -> right_division(identity,X)
% Current number of equations to process: 877
% Current number of ordered equations: 96
% Current number of rules: 556
% New rule produced :
% [1023]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% Current number of equations to process: 876
% Current number of ordered equations: 97
% Current number of rules: 557
% Rule [781]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,X))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(Y,
% right_division(identity,Y)))))) is composed into 
% [781]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))
% New rule produced :
% [1024]
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% Rule
% [518]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(identity,X))))
% -> right_division(Y,right_division(identity,X)) collapsed.
% Rule
% [780]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% collapsed.
% Rule
% [1013]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,Y))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))
% collapsed.
% Current number of equations to process: 877
% Current number of ordered equations: 96
% Current number of rules: 555
% New rule produced :
% [1025]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(X,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% Current number of equations to process: 876
% Current number of ordered equations: 96
% Current number of rules: 556
% New rule produced :
% [1026]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(X,
% right_division(identity,Y)))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(X,
% right_division(identity,Y)))))))))
% Current number of equations to process: 876
% Current number of ordered equations: 95
% Current number of rules: 557
% New rule produced :
% [1027]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,Z))))))
% ->
% right_division(right_division(identity,Y),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% Current number of equations to process: 876
% Current number of ordered equations: 94
% Current number of rules: 558
% New rule produced :
% [1028]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 875
% Current number of ordered equations: 93
% Current number of rules: 559
% New rule produced :
% [1029]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,X)))))))))))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 874
% Current number of ordered equations: 93
% Current number of rules: 560
% New rule produced :
% [1030]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 874
% Current number of ordered equations: 91
% Current number of rules: 561
% New rule produced :
% [1031]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% Current number of equations to process: 874
% Current number of ordered equations: 89
% Current number of rules: 562
% New rule produced :
% [1032]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% -> Y
% Current number of equations to process: 873
% Current number of ordered equations: 89
% Current number of rules: 563
% New rule produced :
% [1033]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(X,Y))))),
% right_division(right_division(identity,Y),right_division(X,right_division(identity,X))))
% -> X
% Current number of equations to process: 872
% Current number of ordered equations: 89
% Current number of rules: 564
% New rule produced :
% [1034]
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,c),right_division(right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X))))))))
% Current number of equations to process: 870
% Current number of ordered equations: 90
% Current number of rules: 565
% New rule produced :
% [1035]
% right_division(right_division(identity,c),right_division(right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))
% Current number of equations to process: 870
% Current number of ordered equations: 89
% Current number of rules: 566
% New rule produced :
% [1036]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)))))),
% right_division(right_division(identity,Z),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)))))))
% -> X
% Current number of equations to process: 870
% Current number of ordered equations: 88
% Current number of rules: 567
% New rule produced :
% [1037]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))),
% right_division(right_division(identity,Z),right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% -> X
% Current number of equations to process: 870
% Current number of ordered equations: 87
% Current number of rules: 568
% New rule produced :
% [1038]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))),X)))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))))))
% Current number of equations to process: 870
% Current number of ordered equations: 86
% Current number of rules: 569
% New rule produced :
% [1039]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))),X)))
% Current number of equations to process: 870
% Current number of ordered equations: 85
% Current number of rules: 570
% New rule produced :
% [1040]
% right_division(X,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,V_3),
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(right_division(identity,Z),
% right_division(identity,V_3)))))
% Current number of equations to process: 869
% Current number of ordered equations: 84
% Current number of rules: 571
% New rule produced :
% [1041]
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(right_division(identity,Z),
% right_division(identity,V_3))))) <->
% right_division(X,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,V_3),
% right_division(identity,Z))))))
% Current number of equations to process: 869
% Current number of ordered equations: 83
% Current number of rules: 572
% New rule produced :
% [1042]
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% <->
% right_division(right_division(identity,Y),right_division(Y,right_division(identity,X)))
% Current number of equations to process: 867
% Current number of ordered equations: 84
% Current number of rules: 573
% New rule produced :
% [1043]
% right_division(right_division(identity,Y),right_division(Y,right_division(identity,X)))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% Current number of equations to process: 867
% Current number of ordered equations: 83
% Current number of rules: 574
% New rule produced :
% [1044]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,Y))))
% Current number of equations to process: 863
% Current number of ordered equations: 84
% Current number of rules: 575
% New rule produced :
% [1045]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% Current number of equations to process: 863
% Current number of ordered equations: 83
% Current number of rules: 576
% New rule produced :
% [1046]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 863
% Current number of ordered equations: 82
% Current number of rules: 577
% New rule produced :
% [1047]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 863
% Current number of ordered equations: 81
% Current number of rules: 578
% New rule produced :
% [1048]
% right_division(identity,right_division(right_division(identity,right_division(Y,Z)),
% right_division(X,right_division(identity,right_division(Z,
% right_division(Y,Z))))))
% <->
% right_division(right_division(X,right_division(Y,Z)),right_division(identity,Y))
% Current number of equations to process: 862
% Current number of ordered equations: 80
% Current number of rules: 579
% New rule produced :
% [1049]
% right_division(right_division(X,right_division(Y,Z)),right_division(identity,Y))
% <->
% right_division(identity,right_division(right_division(identity,right_division(Y,Z)),
% right_division(X,right_division(identity,right_division(Z,
% right_division(Y,Z))))))
% Current number of equations to process: 862
% Current number of ordered equations: 79
% Current number of rules: 580
% New rule produced :
% [1050]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,Y)) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Rule
% [654]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,Y)) <->
% right_division(X,right_division(X,right_division(X,right_division(identity,
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% collapsed.
% Rule
% [902]
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))
% collapsed.
% Current number of equations to process: 864
% Current number of ordered equations: 78
% Current number of rules: 579
% New rule produced :
% [1051]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,Y))))
% Current number of equations to process: 862
% Current number of ordered equations: 77
% Current number of rules: 580
% New rule produced :
% [1052]
% right_division(identity,right_division(right_division(X,Y),right_division(X,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,Y))))
% Current number of equations to process: 861
% Current number of ordered equations: 77
% Current number of rules: 581
% New rule produced :
% [1053]
% right_division(right_division(X,Y),right_division(X,right_division(Y,
% right_division(right_division(identity,Y),
% right_division(identity,X)))))
% -> right_division(identity,right_division(X,Y))
% Current number of equations to process: 860
% Current number of ordered equations: 77
% Current number of rules: 582
% New rule produced :
% [1054]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(Y,X))),
% right_division(X,right_division(Y,X)))) ->
% right_division(X,right_division(identity,right_division(X,right_division(Y,X))))
% Current number of equations to process: 858
% Current number of ordered equations: 76
% Current number of rules: 583
% New rule produced :
% [1055]
% right_division(right_division(X,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(Y,X))))
% Current number of equations to process: 858
% Current number of ordered equations: 75
% Current number of rules: 584
% New rule produced :
% [1056]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(Y,X)))) ->
% right_division(X,right_division(identity,right_division(X,right_division(Y,X))))
% Current number of equations to process: 858
% Current number of ordered equations: 74
% Current number of rules: 585
% New rule produced :
% [1057]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X))),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)))) <->
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X))))))))
% Current number of equations to process: 856
% Current number of ordered equations: 75
% Current number of rules: 586
% New rule produced :
% [1058]
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X))),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z))))
% Current number of equations to process: 856
% Current number of ordered equations: 74
% Current number of rules: 587
% New rule produced :
% [1059]
% right_division(right_division(Y,X),right_division(right_division(identity,c),
% right_division(right_division(X,right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(right_division(c,X),
% right_division(identity,Y)))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% Current number of equations to process: 855
% Current number of ordered equations: 74
% Current number of rules: 588
% New rule produced :
% [1060]
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))
% Current number of equations to process: 855
% Current number of ordered equations: 73
% Current number of rules: 589
% New rule produced :
% [1061]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,X))))))
% ->
% right_division(X,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X))))
% Current number of equations to process: 854
% Current number of ordered equations: 73
% Current number of rules: 590
% New rule produced :
% [1062]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))))))
% -> right_division(Y,right_division(identity,X))
% Current number of equations to process: 852
% Current number of ordered equations: 74
% Current number of rules: 591
% New rule produced :
% [1063]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))),
% right_division(identity,right_division(right_division(right_division(identity,X),Y),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 852
% Current number of ordered equations: 73
% Current number of rules: 592
% New rule produced :
% [1064]
% right_division(right_division(Y,right_division(Y,right_division(Y,X))),
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(Y,right_division(identity,X)))) ->
% right_division(Y,right_division(identity,X))
% Current number of equations to process: 851
% Current number of ordered equations: 73
% Current number of rules: 593
% New rule produced :
% [1065]
% right_division(right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))))),
% right_division(right_division(identity,Y),right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 850
% Current number of ordered equations: 73
% Current number of rules: 594
% New rule produced :
% [1066]
% right_division(right_division(Y,right_division(identity,X)),right_division(
% right_division(identity,X),
% right_division(identity,Y)))
% ->
% right_division(Y,right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% Rule
% [919]
% right_division(X,right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))))
% ->
% right_division(right_division(identity,Y),right_division(identity,right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))
% collapsed.
% Current number of equations to process: 850
% Current number of ordered equations: 73
% Current number of rules: 594
% New rule produced :
% [1067]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X)))))),
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% -> right_division(X,right_division(identity,Y))
% Rule
% [1063]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))),
% right_division(identity,right_division(right_division(right_division(identity,X),Y),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% collapsed.
% Current number of equations to process: 850
% Current number of ordered equations: 72
% Current number of rules: 594
% New rule produced :
% [1068]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X))))))),
% right_division(right_division(Y,X),right_division(X,right_division(identity,Y))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 850
% Current number of ordered equations: 69
% Current number of rules: 595
% New rule produced :
% [1069]
% right_division(right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(identity,right_division(Y,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,Y)))))))))
% -> right_division(X,Y)
% Current number of equations to process: 850
% Current number of ordered equations: 67
% Current number of rules: 596
% New rule produced :
% [1070]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 849
% Current number of ordered equations: 66
% Current number of rules: 597
% New rule produced :
% [1071]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))),
% right_division(Z,right_division(X,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,Y))
% Current number of equations to process: 849
% Current number of ordered equations: 64
% Current number of rules: 598
% New rule produced :
% [1072]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% <->
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(X,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))))
% Current number of equations to process: 847
% Current number of ordered equations: 65
% Current number of rules: 599
% New rule produced :
% [1073]
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(X,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Z))))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))
% Current number of equations to process: 847
% Current number of ordered equations: 64
% Current number of rules: 600
% New rule produced :
% [1074]
% right_division(identity,right_division(right_division(Y,right_division(identity,Z)),
% right_division(X,right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),Y))))))))))))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% Current number of equations to process: 845
% Current number of ordered equations: 65
% Current number of rules: 601
% New rule produced :
% [1075]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(right_division(Y,right_division(identity,Z)),
% right_division(X,right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),Y))))))))))))))
% Current number of equations to process: 845
% Current number of ordered equations: 64
% Current number of rules: 602
% New rule produced :
% [1076]
% right_division(right_division(identity,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(X,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 845
% Current number of ordered equations: 63
% Current number of rules: 603
% New rule produced :
% [1077]
% right_division(right_division(Z,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Z)),
% right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,right_division(identity,Z))))))))
% -> right_division(X,right_division(identity,Z))
% Current number of equations to process: 845
% Current number of ordered equations: 62
% Current number of rules: 604
% New rule produced :
% [1078]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(Z,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))))),
% right_division(right_division(right_division(identity,Z),right_division(identity,Y)),
% right_division(X,right_division(identity,Z)))) ->
% right_division(X,right_division(identity,Z))
% Current number of equations to process: 845
% Current number of ordered equations: 61
% Current number of rules: 605
% New rule produced :
% [1079]
% right_division(right_division(identity,right_division(right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(Z,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(X,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 845
% Current number of ordered equations: 60
% Current number of rules: 606
% New rule produced :
% [1080]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(right_division(identity,Z),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)))))))
% ->
% right_division(right_division(X,right_division(identity,Z)),right_division(
% right_division(identity,Z),
% right_division(identity,Y)))
% Current number of equations to process: 845
% Current number of ordered equations: 59
% Current number of rules: 607
% New rule produced :
% [1081]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(identity,X))),right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))
% Current number of equations to process: 845
% Current number of ordered equations: 58
% Current number of rules: 608
% New rule produced :
% [1082]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(identity,X))),right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% Current number of equations to process: 845
% Current number of ordered equations: 57
% Current number of rules: 609
% New rule produced :
% [1083]
% right_division(right_division(X,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(right_division(identity,Y),right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))
% ->
% right_division(right_division(X,right_division(Y,right_division(Y,right_division(identity,Z)))),
% right_division(Z,Y))
% Current number of equations to process: 844
% Current number of ordered equations: 57
% Current number of rules: 610
% New rule produced :
% [1084]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),Z))))
% Current number of equations to process: 842
% Current number of ordered equations: 58
% Current number of rules: 611
% New rule produced :
% [1085]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),Z))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% Current number of equations to process: 842
% Current number of ordered equations: 57
% Current number of rules: 612
% New rule produced :
% [1086]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(Y,
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))))
% Rule
% [1009]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(Y,
% right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,right_division(Y,
% right_division(identity,Y))))))))
% -> Y collapsed.
% Current number of equations to process: 843
% Current number of ordered equations: 56
% Current number of rules: 612
% New rule produced :
% [1087]
% right_division(right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(X,Y),right_division(Y,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,Y)
% Current number of equations to process: 843
% Current number of ordered equations: 55
% Current number of rules: 613
% New rule produced :
% [1088]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(right_division(Z,Y),
% right_division(identity,
% right_division(X,right_division(identity,Y))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 843
% Current number of ordered equations: 54
% Current number of rules: 614
% New rule produced :
% [1089]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))))),
% right_division(right_division(Z,Y),right_division(X,right_division(identity,Y))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 843
% Current number of ordered equations: 53
% Current number of rules: 615
% New rule produced :
% [1090]
% right_division(right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))),
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(Y,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,Y)
% Current number of equations to process: 843
% Current number of ordered equations: 52
% Current number of rules: 616
% New rule produced :
% [1091]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,Y)))
% Current number of equations to process: 842
% Current number of ordered equations: 52
% Current number of rules: 617
% New rule produced :
% [1092]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,Y))) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% Current number of equations to process: 842
% Current number of ordered equations: 51
% Current number of rules: 618
% New rule produced :
% [1093]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(Y,right_division(right_division(Z,Y),
% right_division(identity,Z))))) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(Z,Y))
% Current number of equations to process: 842
% Current number of ordered equations: 50
% Current number of rules: 619
% New rule produced :
% [1094]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))
% Current number of equations to process: 842
% Current number of ordered equations: 49
% Current number of rules: 620
% New rule produced :
% [1095]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% Rule
% [935]
% right_division(X,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))))))))))
% ->
% right_division(X,right_division(identity,right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))))
% collapsed.
% Current number of equations to process: 843
% Current number of ordered equations: 48
% Current number of rules: 620
% New rule produced :
% [1096]
% right_division(right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Z)),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))
% -> right_division(X,right_division(identity,Z))
% Current number of equations to process: 843
% Current number of ordered equations: 47
% Current number of rules: 621
% New rule produced :
% [1097]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))),right_division(identity,
% right_division(
% right_division(X,Z),
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,
% right_division(X,Z)))))))
% -> right_division(X,Z)
% Current number of equations to process: 843
% Current number of ordered equations: 46
% Current number of rules: 622
% New rule produced :
% [1098]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))
% -> right_division(X,Z)
% Current number of equations to process: 843
% Current number of ordered equations: 45
% Current number of rules: 623
% New rule produced :
% [1099]
% right_division(right_division(identity,right_division(right_division(X,Z),
% right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z)))),
% right_division(right_division(Z,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(X,Z))) -> right_division(X,Z)
% Current number of equations to process: 843
% Current number of ordered equations: 44
% Current number of rules: 624
% New rule produced :
% [1100]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,Y)))),
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(
% right_division(Y,
% right_division(Y,X)),
% right_division(identity,
% right_division(X,Y)))))))
% -> right_division(X,Y)
% Current number of equations to process: 842
% Current number of ordered equations: 44
% Current number of rules: 625
% Rule [922]
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(X,right_division(identity,
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,X))))))))))) is composed into 
% [922]
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% Rule [781]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,X))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(right_division(identity,Y),
% right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,Y))))))))) is composed into 
% [781]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% ->
% right_division(identity,right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(right_division(identity,Y),
% right_division(identity,
% right_division(identity,X))))))))
% New rule produced :
% [1101]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Rule
% [778]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))))
% -> right_division(X,Y) collapsed.
% Rule
% [918]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% collapsed.
% Current number of equations to process: 842
% Current number of ordered equations: 43
% Current number of rules: 624
% New rule produced :
% [1102]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(X,
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% ->
% right_division(X,right_division(X,right_division(Y,right_division(identity,Z))))
% Current number of equations to process: 840
% Current number of ordered equations: 43
% Current number of rules: 625
% New rule produced :
% [1103]
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(X,right_division(Y,right_division(identity,Z))))
% Current number of equations to process: 839
% Current number of ordered equations: 43
% Current number of rules: 626
% New rule produced :
% [1104]
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(Y,right_division(identity,X)))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 838
% Current number of ordered equations: 43
% Current number of rules: 627
% New rule produced :
% [1105]
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))))
% Current number of equations to process: 837
% Current number of ordered equations: 44
% Current number of rules: 628
% New rule produced :
% [1106]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))))
% <->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 837
% Current number of ordered equations: 43
% Current number of rules: 629
% New rule produced :
% [1107]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,Z)),right_division(X,
% right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))))))
% Rule
% [713]
% right_division(identity,right_division(X,right_division(right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% collapsed.
% Current number of equations to process: 837
% Current number of ordered equations: 43
% Current number of rules: 629
% New rule produced :
% [1108]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,Z))))
% Current number of equations to process: 837
% Current number of ordered equations: 42
% Current number of rules: 630
% New rule produced :
% [1109]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% Current number of equations to process: 837
% Current number of ordered equations: 41
% Current number of rules: 631
% New rule produced :
% [1110]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Z))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(right_division(identity,X),
% right_division(identity,Y)))))
% Current number of equations to process: 837
% Current number of ordered equations: 40
% Current number of rules: 632
% New rule produced :
% [1111]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(right_division(identity,X),
% right_division(identity,Y))))) <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Z))))))
% Current number of equations to process: 837
% Current number of ordered equations: 39
% Current number of rules: 633
% New rule produced :
% [1112]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 837
% Current number of ordered equations: 37
% Current number of rules: 634
% New rule produced :
% [1113]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(Y,right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(X,Y))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 836
% Current number of ordered equations: 37
% Current number of rules: 635
% New rule produced :
% [1114]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(right_division(right_division(identity,Y),right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),Y),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 835
% Current number of ordered equations: 37
% Current number of rules: 636
% New rule produced :
% [1115]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))),
% right_division(right_division(identity,Y),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 834
% Current number of ordered equations: 37
% Current number of rules: 637
% New rule produced :
% [1116]
% right_division(right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(Y,right_division(Y,X))))))
% -> right_division(X,Y)
% Current number of equations to process: 833
% Current number of ordered equations: 37
% Current number of rules: 638
% New rule produced :
% [1117]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),X)))))
% -> right_division(right_division(identity,Y),right_division(identity,X))
% Current number of equations to process: 829
% Current number of ordered equations: 37
% Current number of rules: 639
% New rule produced :
% [1118]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),Y))))),
% right_division(right_division(identity,Y),right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 826
% Current number of ordered equations: 37
% Current number of rules: 640
% Rule [871]
% right_division(X,right_division(Y,right_division(identity,Y))) <->
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))))))) is composed into 
% [871]
% right_division(X,right_division(Y,right_division(identity,Y))) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,X))))
% New rule produced :
% [1119]
% right_division(X,right_division(right_division(identity,X),right_division(X,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))
% -> right_division(X,Y)
% Rule
% [872]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% <-> right_division(X,right_division(Y,right_division(identity,Y))) collapsed.
% Current number of equations to process: 825
% Current number of ordered equations: 37
% Current number of rules: 640
% New rule produced :
% [1120]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))),
% right_division(identity,right_division(X,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),X))))))))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 823
% Current number of ordered equations: 37
% Current number of rules: 641
% New rule produced :
% [1121]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))),
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% -> right_division(Y,X)
% Current number of equations to process: 823
% Current number of ordered equations: 35
% Current number of rules: 642
% New rule produced :
% [1122]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% Rule
% [586]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% collapsed.
% Current number of equations to process: 823
% Current number of ordered equations: 34
% Current number of rules: 642
% New rule produced :
% [1123]
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,Z))))
% Rule
% [587]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% collapsed.
% Rule
% [592]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% collapsed.
% Current number of equations to process: 823
% Current number of ordered equations: 33
% Current number of rules: 641
% New rule produced :
% [1124]
% right_division(identity,right_division(right_division(Z,right_division(identity,V_3)),
% right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(V_3,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 823
% Current number of ordered equations: 32
% Current number of rules: 642
% New rule produced :
% [1125]
% right_division(identity,right_division(right_division(Z,right_division(identity,V_3)),
% right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 823
% Current number of ordered equations: 31
% Current number of rules: 643
% New rule produced :
% [1126]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(X,Y)),
% right_division(identity,Z))),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,X)))))))))
% -> right_division(Y,X)
% Current number of equations to process: 822
% Current number of ordered equations: 31
% Current number of rules: 644
% New rule produced :
% [1127]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% Current number of equations to process: 822
% Current number of ordered equations: 30
% Current number of rules: 645
% New rule produced :
% [1128]
% right_division(right_division(X,right_division(X,Y)),right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))
% Current number of equations to process: 820
% Current number of ordered equations: 31
% Current number of rules: 646
% New rule produced :
% [1129]
% right_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(X,Y)),right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))
% Current number of equations to process: 820
% Current number of ordered equations: 30
% Current number of rules: 647
% New rule produced :
% [1130]
% right_division(right_division(identity,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(
% right_division(Y,X),
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(X,right_division(right_division(Y,X),
% right_division(identity,Y))))
% Current number of equations to process: 816
% Current number of ordered equations: 30
% Current number of rules: 648
% New rule produced :
% [1131]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 816
% Current number of ordered equations: 29
% Current number of rules: 649
% New rule produced :
% [1132]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% Current number of equations to process: 816
% Current number of ordered equations: 28
% Current number of rules: 650
% New rule produced :
% [1133]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 816
% Current number of ordered equations: 27
% Current number of rules: 651
% New rule produced :
% [1134]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))),
% right_division(right_division(identity,Y),right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 815
% Current number of ordered equations: 27
% Current number of rules: 652
% New rule produced :
% [1135]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Y))))))))
% ->
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,X)))))
% Current number of equations to process: 813
% Current number of ordered equations: 25
% Current number of rules: 653
% New rule produced :
% [1136]
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 812
% Current number of ordered equations: 25
% Current number of rules: 654
% New rule produced :
% [1137]
% right_division(right_division(right_division(identity,Y),right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(right_division(Y,right_division(Y,right_division(identity,X))),
% right_division(Y,right_division(right_division(identity,Y),right_division(identity,X)))))
% -> right_division(X,Y)
% Current number of equations to process: 810
% Current number of ordered equations: 25
% Current number of rules: 655
% New rule produced :
% [1138]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(right_division(identity,X),
% right_division(identity,
% right_division(Y,right_division(identity,X))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 810
% Current number of ordered equations: 24
% Current number of rules: 656
% New rule produced :
% [1139]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Y)))))),
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Y)))))))
% -> right_division(X,Y)
% Current number of equations to process: 810
% Current number of ordered equations: 23
% Current number of rules: 657
% New rule produced :
% [1140]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(X,Y))))),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,Z))))
% Current number of equations to process: 809
% Current number of ordered equations: 24
% Current number of rules: 658
% New rule produced :
% [1141]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,Z))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(X,Y))))),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 809
% Current number of ordered equations: 23
% Current number of rules: 659
% New rule produced :
% [1142]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Z)))),
% right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Z))))))))
% <->
% right_division(right_division(Z,X),right_division(identity,right_division(
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Z))),
% right_division(identity,Y))))
% Current number of equations to process: 809
% Current number of ordered equations: 22
% Current number of rules: 660
% New rule produced :
% [1143]
% right_division(right_division(Z,X),right_division(identity,right_division(
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Z))),
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Z)))),
% right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Z))))))))
% Current number of equations to process: 809
% Current number of ordered equations: 21
% Current number of rules: 661
% New rule produced :
% [1144]
% right_division(right_division(X,right_division(Y,X)),right_division(identity,
% right_division(right_division(Y,X),
% right_division(X,
% right_division(identity,
% right_division(right_division(identity,Y),
% right_division(identity,X)))))))
% -> right_division(Y,X)
% Current number of equations to process: 808
% Current number of ordered equations: 20
% Current number of rules: 662
% New rule produced :
% [1145]
% right_division(right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(Z,
% right_division(identity,X))))),
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Z))))))
% -> right_division(identity,X)
% Current number of equations to process: 808
% Current number of ordered equations: 19
% Current number of rules: 663
% New rule produced :
% [1146]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% <-> right_division(right_division(X,Y),right_division(identity,Z))
% Current number of equations to process: 808
% Current number of ordered equations: 18
% Current number of rules: 664
% Rule [1111]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(right_division(identity,X),
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Z)))))) is composed into 
% [1111]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(right_division(identity,X),
% right_division(identity,Y))))) ->
% right_division(identity,right_division(identity,right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(Y,
% right_division(identity,X))),
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(identity,Z))))))))))))))))))
% Rule [1109]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,Y)))))))) is composed into 
% [1109]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(identity,right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(Y,
% right_division(identity,X))),
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(Z,right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))))))))
% Rule [1081]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,
% right_division(Z,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(identity,X))),
% right_division(identity,right_division(right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z)))))) is composed into 
% [1081]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(identity,right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(right_division(identity,X),
% right_division(right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(identity,
% right_division(right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))))))
% Rule [1057]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X))),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)))) <->
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X)),
% right_division(identity,
% right_division(Z,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X)))))))) is composed into 
% [1057]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X))),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)))) <->
% right_division(Y,right_division(identity,right_division(identity,right_division(
% right_division(identity,
% right_division(
% right_division(identity,Y),X)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(
% right_division(identity,Y),X),
% right_division(
% right_division(identity,
% right_division(
% right_division(identity,Y),X)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X))))))))))))
% Rule [988]
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(Y,X),
% right_division(identity,
% right_division(Y,right_division(identity,X))))))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X)))))) is composed into 
% [988]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% Rule [981]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(right_division(identity,X),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(Y,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),Y),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))) is composed into 
% [981]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))),
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(Y,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))))))))
% Rule [961]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(V_3,right_division(right_division(identity,Z),
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),
% right_division(right_division(X,right_division(identity,Z)),
% right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,V_3)))))) is composed into 
% [961]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(V_3,right_division(right_division(identity,Z),
% right_division(identity,Y))))) <->
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,V_3))))))))))
% Rule [920]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,right_division(identity,
% right_division(Y,right_division(identity,Z))))))
% <->
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))) is composed into 
% [920]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))))
% Rule [901]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(right_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),
% right_division(identity,Z)))) is composed into 
% [901]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),
% right_division(
% right_division(X,Y),
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))),
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),
% right_division(identity,Z))))))))
% Rule [820]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,Z)) <->
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,Z)))))))) is composed into 
% [820]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,Z)) <->
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(identity,Z))))))))))))))))
% Rule [801]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(X,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))) is composed into 
% [801]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(X,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))
% Rule [793]
% right_division(identity,right_division(Z,right_division(identity,
% right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,V_3)) is composed into 
% [793]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(identity,Z)),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(right_division(identity,Z),right_division(
% right_division(identity,
% right_division(identity,Z)),
% right_division(identity,V_3))))))
% Rule [709]
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(Y,right_division(identity,X))))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X)))))) is composed into 
% [709]
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% Rule [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(identity,
% right_division(right_division(identity,Y),
% right_division(identity,
% right_division(identity,Y))))))))))))))) is composed into 
% [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(identity,Y)))))))))))))))))))
% Rule [694]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))))) ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X)))))) is composed into 
% [694]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% ->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% Rule [691]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,
% right_division(right_division(Z,Y),
% right_division(identity,V_3)))))) is composed into 
% [691]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) <->
% right_division(identity,right_division(right_division(identity,V_3),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(V_3,
% right_division(
% right_division(identity,V_3),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,V_3))))))))))
% Rule [686]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,right_division(identity,Z)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,
% right_division(right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,V_3)))))) is composed into 
% [686]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) <->
% right_division(identity,right_division(right_division(identity,V_3),right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(V_3,
% right_division(
% right_division(identity,V_3),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,V_3))))))))))))))
% Rule [684]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(V_3,right_division(identity,Y))))))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,V_3)))) is composed into 
% [684]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(V_3,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))),
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,V_3))))))))
% Rule [664]
% right_division(identity,right_division(V_3,right_division(identity,
% right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,V_3)),right_division(identity,
% right_division(right_division(identity,V_3),
% right_division(identity,Z)))) is composed into 
% [664]
% right_division(identity,right_division(V_3,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(identity,V_3)),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(right_division(identity,V_3),right_division(
% right_division(identity,
% right_division(identity,V_3)),
% right_division(identity,
% right_division(
% right_division(identity,V_3),
% right_division(identity,Z))))))))
% Rule [566]
% right_division(Z,right_division(identity,X)) <->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(identity,Z)))))) is composed into 
% [566]
% right_division(Z,right_division(identity,X)) <->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(identity,Z))))))))))
% Rule [552]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,
% right_division(Z,right_division(identity,V_3)))))) is composed into 
% [552]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,V_3)) <->
% right_division(identity,right_division(right_division(identity,V_3),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(V_3,
% right_division(
% right_division(identity,V_3),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Z,
% right_division(identity,V_3))))))))))
% Rule [550]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(Y,right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3)) is composed into [550]
% right_division(identity,
% right_division(Y,
% right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))
% <->
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(right_division(X,Y),
% right_division(right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))),
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3))))))
% New rule produced :
% [1147]
% right_division(right_division(X,Y),right_division(identity,Z)) <->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% Rule
% [483]
% right_division(right_division(right_division(identity,X),Y),right_division(identity,
% right_division(Y,
% right_division(Y,X))))
% -> right_division(identity,Y) collapsed.
% Rule
% [529]
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,X)),right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,X))))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [530]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,Y))))))))
% <->
% right_division(Z,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,X))))))))
% collapsed.
% Rule
% [531]
% right_division(Z,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,X))))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [547]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,right_division(identity,Z)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(Y,
% right_division(identity,V_3))))))
% collapsed.
% Rule
% [548]
% right_division(right_division(right_division(X,right_division(identity,Z)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(Y,
% right_division(identity,V_3))))))
% <->
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3)) collapsed.
% Rule
% [549]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3)) <->
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [551]
% right_division(right_division(right_division(X,right_division(identity,Y)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(Z,
% right_division(identity,V_3))))))
% <->
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))),
% right_division(identity,V_3)) collapsed.
% Rule
% [567]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(identity,Z)))))) <->
% right_division(Z,right_division(identity,X)) collapsed.
% Rule
% [577]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(Z,right_division(identity,right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,X))))))))))
% -> right_division(right_division(identity,Z),right_division(identity,X))
% collapsed.
% Rule
% [644]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))))
% -> Y collapsed.
% Rule
% [655]
% right_division(identity,right_division(Z,right_division(right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))
% ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,right_division(Z,
% right_division(identity,X))))))
% collapsed.
% Rule
% [663]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))
% -> Y collapsed.
% Rule
% [667]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,V_3)),right_division(identity,
% right_division(right_division(identity,V_3),
% right_division(identity,Z))))
% <->
% right_division(identity,right_division(V_3,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y))))))))))
% collapsed.
% Rule
% [683]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,V_3))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(V_3,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [685]
% right_division(right_division(right_division(X,right_division(identity,Z)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,V_3))))))
% <->
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) collapsed.
% Rule
% [689]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,right_division(V_3,Y))) ->
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(Y,
% right_division(identity,V_3))))))
% collapsed.
% Rule
% [690]
% right_division(right_division(right_division(X,right_division(identity,Y)),V_3),
% right_division(identity,right_division(V_3,right_division(identity,right_division(
% right_division(Z,Y),
% right_division(identity,V_3))))))
% <->
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) collapsed.
% Rule
% [693]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))),
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% -> Y collapsed.
% Rule
% [707]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))))
% -> X collapsed.
% Rule
% [716]
% right_division(right_division(right_division(X,right_division(identity,Y)),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))),
% right_division(identity,X)))))))
% -> Z collapsed.
% Rule
% [729]
% right_division(right_division(identity,right_division(right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z))),right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))
% -> X collapsed.
% Rule
% [796]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,V_3)) <->
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y))))))))))
% collapsed.
% Rule
% [815]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,V_3)) <->
% right_division(right_division(right_division(X,Z),V_3),right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,V_3))))))
% collapsed.
% Rule
% [816]
% right_division(right_division(right_division(X,Z),V_3),right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,V_3))))))
% <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(identity,V_3))
% collapsed.
% Rule
% [819]
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,Z))))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,Z)) collapsed.
% Rule
% [854]
% right_division(identity,right_division(right_division(identity,Z),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(Z,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,Z)) collapsed.
% Rule
% [855]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,Z)) <->
% right_division(identity,right_division(right_division(identity,Z),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(Z,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% collapsed.
% Rule
% [861]
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,X)),right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% ->
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))
% collapsed.
% Rule
% [900]
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),
% right_division(identity,Z))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [921]
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% collapsed.
% Rule
% [924]
% right_division(right_division(right_division(identity,Y),right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> X collapsed.
% Rule
% [940]
% right_division(identity,right_division(X,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,X))))))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Z))))
% collapsed.
% Rule
% [941]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Z))))
% <->
% right_division(identity,right_division(X,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,X))))))
% collapsed.
% Rule
% [951]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Z,X))) ->
% right_division(identity,right_division(X,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,Z))))))
% collapsed.
% Rule
% [958]
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,V_3))))))
% <->
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(V_3,right_division(right_division(identity,Z),
% right_division(identity,Y)))))
% collapsed.
% Rule
% [964]
% right_division(right_division(Z,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,Z),
% right_division(identity,X)),
% right_division(identity,Y))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [989]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Rule
% [992]
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(Y,right_division(Y,
% right_division(identity,X)))))))
% ->
% right_division(Y,right_division(right_division(identity,Y),right_division(identity,X)))
% collapsed.
% Rule
% [993]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% ->
% right_division(identity,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% collapsed.
% Rule
% [994]
% right_division(right_division(right_division(identity,X),right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(Y,X))))) ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% collapsed.
% Rule
% [995]
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),Y),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% collapsed.
% Rule
% [1004]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))
% ->
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))
% collapsed.
% Rule
% [1058]
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X))),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)))) collapsed.
% Rule
% [1060]
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))
% collapsed.
% Rule
% [1076]
% right_division(right_division(identity,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(X,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% collapsed.
% Rule
% [1077]
% right_division(right_division(Z,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Z)),
% right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,right_division(identity,Z))))))))
% -> right_division(X,right_division(identity,Z)) collapsed.
% Rule
% [1082]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(identity,X))),right_division(identity,
% right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [1104]
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(Y,right_division(identity,X)))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% collapsed.
% Rule
% [1108]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,Z)))) collapsed.
% Rule
% [1110]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(identity,Z))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(right_division(identity,X),
% right_division(identity,Y)))))
% collapsed.
% Rule
% [1114]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(right_division(right_division(identity,Y),right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),Y),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Current number of equations to process: 854
% Current number of ordered equations: 15
% Current number of rules: 613
% New rule produced :
% [1148]
% right_division(right_division(X,right_division(identity,Y)),Z) <->
% right_division(right_division(X,right_division(identity,Z)),right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))
% Current number of equations to process: 854
% Current number of ordered equations: 14
% Current number of rules: 614
% New rule produced :
% [1149]
% right_division(right_division(X,right_division(identity,Z)),right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))
% <-> right_division(right_division(X,right_division(identity,Y)),Z)
% Current number of equations to process: 854
% Current number of ordered equations: 13
% Current number of rules: 615
% New rule produced :
% [1150]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Y,right_division(Y,
% right_division(X,Y))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(X,Y))))
% Current number of equations to process: 854
% Current number of ordered equations: 12
% Current number of rules: 616
% New rule produced :
% [1151]
% right_division(identity,right_division(Y,right_division(X,right_division(X,Y))))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Y,right_division(Y,
% right_division(X,Y))))))
% Current number of equations to process: 854
% Current number of ordered equations: 11
% Current number of rules: 617
% New rule produced :
% [1152]
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(X,Y)))))))
% ->
% right_division(X,right_division(Y,right_division(right_division(identity,Y),X)))
% Current number of equations to process: 853
% Current number of ordered equations: 11
% Current number of rules: 618
% New rule produced :
% [1153]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% -> right_division(X,Y)
% Current number of equations to process: 852
% Current number of ordered equations: 11
% Current number of rules: 619
% New rule produced :
% [1154]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,Y),X)))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(identity,Y),X)))
% Current number of equations to process: 852
% Current number of ordered equations: 9
% Current number of rules: 620
% New rule produced :
% [1155]
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(identity,Y),X)))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(identity,Y),X)))))
% Current number of equations to process: 852
% Current number of ordered equations: 7
% Current number of rules: 621
% New rule produced :
% [1156]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(X,Y)))),
% right_division(Y,right_division(identity,right_division(Y,right_division(X,Y)))))
% -> right_division(X,Y)
% Current number of equations to process: 852
% Current number of ordered equations: 6
% Current number of rules: 622
% New rule produced :
% [1157]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(X,right_division(right_division(X,Y),
% right_division(right_division(identity,X),
% right_division(X,right_division(identity,Z))))))
% Current number of equations to process: 847
% Current number of ordered equations: 7
% Current number of rules: 623
% New rule produced :
% [1158]
% right_division(identity,right_division(X,right_division(right_division(X,Y),
% right_division(right_division(identity,X),
% right_division(X,right_division(identity,Z))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,Z))))))
% Current number of equations to process: 847
% Current number of ordered equations: 6
% Current number of rules: 624
% New rule produced :
% [1159]
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(X,
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 847
% Current number of ordered equations: 5
% Current number of rules: 625
% New rule produced :
% [1160]
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(identity,Y)))),
% right_division(identity,right_division(Z,X))) ->
% right_division(X,right_division(identity,right_division(Z,right_division(identity,
% right_division(Z,X)))))
% Current number of equations to process: 847
% Current number of ordered equations: 4
% Current number of rules: 626
% New rule produced :
% [1161]
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(
% right_division(identity,Y),X)))
% -> right_division(identity,Y)
% Current number of equations to process: 845
% Current number of ordered equations: 4
% Current number of rules: 627
% New rule produced :
% [1162]
% right_division(right_division(identity,X),right_division(right_division(identity,
% right_division(Y,X)),
% right_division(identity,right_division(
% right_division(identity,Y),X))))
% -> right_division(Y,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 845
% Current number of ordered equations: 3
% Current number of rules: 628
% New rule produced :
% [1163]
% right_division(right_division(X,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))),Z)
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(X,Y),Z)))
% Current number of equations to process: 843
% Current number of ordered equations: 3
% Current number of rules: 629
% New rule produced :
% [1164]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))
% -> right_division(identity,right_division(X,right_division(identity,X)))
% Current number of equations to process: 842
% Current number of ordered equations: 3
% Current number of rules: 630
% New rule produced :
% [1165]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(Y,X))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,Y)))))
% Current number of equations to process: 842
% Current number of ordered equations: 2
% Current number of rules: 631
% New rule produced :
% [1166]
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(right_division(identity,X),Y))))
% ->
% right_division(Y,right_division(identity,right_division(X,right_division(identity,
% right_division(X,Y)))))
% Current number of equations to process: 842
% Current number of ordered equations: 1
% Current number of rules: 632
% New rule produced :
% [1167]
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(identity,Y)))),
% right_division(Z,right_division(Y,right_division(Z,right_division(identity,Y)))))
% -> right_division(X,Z)
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 633
% New rule produced :
% [1168]
% right_division(identity,right_division(right_division(identity,Z),right_division(
% right_division(X,
% right_division(Y,
% right_division(identity,X))),
% right_division(identity,
% right_division(
% right_division(identity,Y),Z)))))
% ->
% right_division(identity,right_division(Y,right_division(X,right_division(Y,
% right_division(identity,X)))))
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [1169]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,Y))))
% Rule
% [640]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(X,Y)))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(Y,right_division(identity,Y)) collapsed.
% Current number of equations to process: 880
% Current number of ordered equations: 1
% Current number of rules: 634
% Rule [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(identity,
% right_division(right_division(identity,Y),
% right_division(identity,
% right_division(identity,Y))))))))))))))))))) is composed into 
% [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))))))))))))))
% New rule produced :
% [1170]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,Y))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% Rule
% [564]
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% collapsed.
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 634
% Rule [619]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z)))))) is composed into 
% [619]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),Z))))))
% Rule [435]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)))) is composed into 
% [435]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),Z))))
% New rule produced :
% [1171]
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),Z))))
% Rule
% [436]
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [618]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% collapsed.
% Rule
% [895]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(right_division(identity,Y),right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))))))
% -> Y collapsed.
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1172]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,X)))
% -> identity
% Current number of equations to process: 950
% Current number of ordered equations: 1
% Current number of rules: 633
% New rule produced :
% [1173]
% right_division(right_division(X,right_division(Y,Z)),right_division(Z,Y)) ->
% X
% Rule
% [744]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,Z))),right_division(
% right_division(identity,Z),
% right_division(identity,Y)))
% -> X collapsed.
% Current number of equations to process: 950
% Current number of ordered equations: 0
% Current number of rules: 633
% New rule produced :
% [1174]
% right_division(right_division(X,Y),right_division(Z,right_division(Y,X))) ->
% right_division(identity,Z)
% Rule
% [906]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X)))
% -> Y collapsed.
% Rule
% [1161]
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(
% right_division(identity,Y),X)))
% -> right_division(identity,Y) collapsed.
% Rule
% [1172]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,X)))
% -> identity collapsed.
% Current number of equations to process: 956
% Current number of ordered equations: 0
% Current number of rules: 631
% New rule produced :
% [1175]
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(Y,X),Z)))
% -> right_division(identity,Z)
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1176]
% right_division(Y,right_division(right_division(identity,Y),right_division(
% right_division(identity,Y),
% right_division(Y,X))))
% -> X
% Rule
% [877]
% right_division(right_division(X,Y),right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,X),
% right_division(X,Y)))))
% -> right_division(identity,right_division(Y,right_division(X,Y))) collapsed.
% Current number of equations to process: 967
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1177]
% right_division(X,right_division(identity,right_division(right_division(Y,Z),X)))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(Z,Y))))
% Rule
% [863]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,Y)),X)))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))
% collapsed.
% Current number of equations to process: 966
% Current number of ordered equations: 1
% Current number of rules: 632
% New rule produced :
% [1178]
% right_division(identity,right_division(X,right_division(X,right_division(Z,Y))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,Z),X)))
% Rule
% [864]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,Y)),X)))
% collapsed.
% Current number of equations to process: 966
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1179]
% right_division(right_division(identity,Y),right_division(Y,right_division(Y,
% right_division(
% right_division(identity,Y),X))))
% -> X
% Current number of equations to process: 965
% Current number of ordered equations: 0
% Current number of rules: 633
% New rule produced :
% [1180]
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X)))) <->
% right_division(right_division(X,Y),right_division(Y,X))
% Current number of equations to process: 978
% Current number of ordered equations: 1
% Current number of rules: 634
% New rule produced :
% [1181]
% right_division(right_division(X,Y),right_division(Y,X)) <->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X))))
% Current number of equations to process: 978
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [1182]
% right_division(right_division(X,Y),right_division(X,right_division(right_division(Y,X),
% right_division(identity,Y))))
% -> right_division(Y,X)
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [1183]
% right_division(right_division(identity,right_division(Y,right_division(identity,X))),
% right_division(X,Y)) ->
% right_division(identity,right_division(X,right_division(identity,X)))
% Rule
% [523]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(X,Y))) ->
% right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [1184]
% right_division(identity,right_division(Y,right_division(X,Y))) <->
% right_division(X,right_division(Y,right_division(Z,right_division(Y,right_division(identity,Z)))))
% Current number of equations to process: 975
% Current number of ordered equations: 1
% Current number of rules: 637
% New rule produced :
% [1185]
% right_division(X,right_division(Y,right_division(Z,right_division(Y,right_division(identity,Z)))))
% <-> right_division(identity,right_division(Y,right_division(X,Y)))
% Rule
% [1167]
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(identity,Y)))),
% right_division(Z,right_division(Y,right_division(Z,right_division(identity,Y)))))
% -> right_division(X,Z) collapsed.
% Current number of equations to process: 975
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [1186]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(
% right_division(identity,Y),X))))
% -> right_division(X,right_division(X,Y))
% Current number of equations to process: 974
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [1187]
% right_division(right_division(right_division(X,Y),right_division(Y,X)),Z) ->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(X,Y),Z)))
% Current number of equations to process: 973
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [1188]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(X,Y))))
% ->
% right_division(identity,right_division(X,right_division(identity,right_division(X,Y))))
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 640
% New rule produced :
% [1189]
% right_division(right_division(identity,Y),right_division(Y,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% -> X
% Rule
% [680]
% right_division(identity,right_division(right_division(identity,Z),right_division(
% right_division(X,
% right_division(Y,
% right_division(identity,Y))),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(Z,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))))
% -> right_division(right_division(X,Y),right_division(identity,Z)) collapsed.
% Rule
% [755]
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% -> Y collapsed.
% Rule
% [1119]
% right_division(X,right_division(right_division(identity,X),right_division(X,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))
% -> right_division(X,Y) collapsed.
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [1190]
% right_division(identity,right_division(right_division(X,Y),right_division(Z,
% right_division(
% right_division(Y,X),Z))))
% -> right_division(Z,right_division(identity,Z))
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 639
% Rule [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))))))) is composed into 
% [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(identity,Y)))))))))))))))))
% New rule produced :
% [1191]
% right_division(identity,right_division(X,right_division(Y,right_division(identity,Y))))
% <-> right_division(Y,right_division(X,Y))
% Current number of equations to process: 1005
% Current number of ordered equations: 1
% Current number of rules: 640
% New rule produced :
% [1192]
% right_division(Y,right_division(X,Y)) <->
% right_division(identity,right_division(X,right_division(Y,right_division(identity,Y))))
% Rule
% [694]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% ->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% collapsed.
% Rule
% [706]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(identity,Y)))))))))))))))))
% collapsed.
% Rule
% [991]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))),
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))
% collapsed.
% Current number of equations to process: 1008
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [1193]
% right_division(right_division(identity,X),right_division(Y,right_division(X,
% right_division(identity,X))))
% -> right_division(identity,right_division(Y,X))
% Rule
% [469]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(Y,
% right_division(identity,Y)))))
% -> right_division(X,Y) collapsed.
% Rule
% [862]
% right_division(X,right_division(right_division(identity,X),right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% -> right_division(X,right_division(identity,right_division(Y,X))) collapsed.
% Current number of equations to process: 1025
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [1194]
% right_division(right_division(X,Y),right_division(X,right_division(Y,
% right_division(identity,Y))))
% -> right_division(X,right_division(X,Y))
% Rule
% [870]
% right_division(identity,right_division(right_division(X,Y),right_division(X,
% right_division(Y,
% right_division(identity,Y)))))
% -> right_division(identity,right_division(X,right_division(X,Y))) collapsed.
% Current number of equations to process: 1024
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [1195]
% right_division(identity,right_division(right_division(Y,Z),right_division(X,
% right_division(Y,Z))))
% <-> right_division(X,right_division(right_division(Y,Z),right_division(Z,Y)))
% Current number of equations to process: 1023
% Current number of ordered equations: 1
% Current number of rules: 638
% New rule produced :
% [1196]
% right_division(X,right_division(right_division(Y,Z),right_division(Z,Y))) <->
% right_division(identity,right_division(right_division(Y,Z),right_division(X,
% right_division(Y,Z))))
% Current number of equations to process: 1023
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [1197]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(X,Y)))) -> identity
% Current number of equations to process: 1021
% Current number of ordered equations: 1
% Current number of rules: 640
% New rule produced :
% [1198]
% right_division(right_division(X,right_division(Y,right_division(Z,Y))),
% right_division(Z,right_division(Y,right_division(identity,Y)))) -> X
% Current number of equations to process: 1021
% Current number of ordered equations: 0
% Current number of rules: 641
% Rule [1151]
% right_division(identity,right_division(Y,right_division(X,right_division(X,Y))))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Y,right_division(Y,
% right_division(X,Y)))))) is composed into 
% [1151]
% right_division(identity,right_division(Y,right_division(X,right_division(X,Y))))
% <->
% right_division(X,right_division(identity,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,Y))))))
% Rule [1034]
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(right_division(identity,Y),
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,c),right_division(right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X)))))))) is composed into 
% [1034]
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,c),right_division(right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X))),
% right_division(identity,right_division(c,
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X))))))))
% Rule [911]
% right_division(right_division(Y,X),right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,c),
% right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y)))))))))) is composed into 
% [911]
% right_division(right_division(Y,X),right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,c),
% right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(identity,right_division(c,
% right_division(identity,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))))
% Rule [845]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,X))) ->
% right_division(right_division(identity,c),right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y)))))))) is composed into 
% [845]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,X))) ->
% right_division(right_division(identity,c),right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(identity,right_division(c,
% right_division(identity,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))
% Rule [775]
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(Y,X),
% right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(right_division(identity,c),right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y)))))))) is composed into 
% [775]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(right_division(identity,c),right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(identity,right_division(c,
% right_division(identity,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))
% Rule [452]
% right_division(Y,X) <->
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(identity,Y)))) is composed into 
% [452]
% right_division(Y,X) <->
% right_division(identity,right_division(X,right_division(identity,right_division(identity,Y))))
% Rule [445]
% right_division(right_division(identity,Y),X) <->
% right_division(right_division(identity,X),right_division(X,right_division(X,Y))) is composed into 
% [445]
% right_division(right_division(identity,Y),X) <->
% right_division(identity,right_division(X,right_division(identity,Y)))
% New rule produced :
% [1199]
% right_division(right_division(identity,X),right_division(X,right_division(X,Y)))
% -> right_division(identity,right_division(X,right_division(identity,Y)))
% Rule
% [446]
% right_division(right_division(identity,X),right_division(X,right_division(X,Y)))
% <-> right_division(right_division(identity,Y),X) collapsed.
% Rule
% [453]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(identity,Y))))
% <-> right_division(Y,X) collapsed.
% Rule
% [776]
% right_division(right_division(identity,c),right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% collapsed.
% Rule
% [910]
% right_division(X,right_division(identity,right_division(right_division(identity,c),
% right_division(right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(
% right_division(c,X),
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(Y,X),right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% collapsed.
% Rule
% [1035]
% right_division(right_division(identity,c),right_division(right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(Y,
% right_division(
% right_division(c,Y),
% right_division(identity,X))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))))
% collapsed.
% Rule
% [1059]
% right_division(right_division(Y,X),right_division(right_division(identity,c),
% right_division(right_division(X,right_division(
% right_division(c,X),
% right_division(identity,Y))),
% right_division(right_division(identity,c),
% right_division(c,right_division(c,
% right_division(X,
% right_division(right_division(c,X),
% right_division(identity,Y)))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% collapsed.
% Rule
% [1150]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Y,right_division(Y,
% right_division(X,Y))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(X,Y))))
% collapsed.
% Rule
% [1153]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% -> right_division(X,Y) collapsed.
% Rule
% [1179]
% right_division(right_division(identity,Y),right_division(Y,right_division(Y,
% right_division(
% right_division(identity,Y),X))))
% -> X collapsed.
% Rule
% [1186]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(
% right_division(identity,Y),X))))
% -> right_division(X,right_division(X,Y)) collapsed.
% Rule
% [1188]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(X,Y))))
% ->
% right_division(identity,right_division(X,right_division(identity,right_division(X,Y))))
% collapsed.
% Rule
% [1189]
% right_division(right_division(identity,Y),right_division(Y,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% -> X collapsed.
% Current number of equations to process: 1035
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [1200]
% right_division(X,right_division(X,Y)) <->
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),X))))
% Current number of equations to process: 1076
% Current number of ordered equations: 1
% Current number of rules: 631
% New rule produced :
% [1201]
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),X))))
% <-> right_division(X,right_division(X,Y))
% Current number of equations to process: 1076
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1202]
% right_division(identity,right_division(right_division(X,Y),right_division(Y,X)))
% <->
% right_division(Y,right_division(right_division(X,Y),right_division(identity,X)))
% Current number of equations to process: 1075
% Current number of ordered equations: 1
% Current number of rules: 633
% New rule produced :
% [1203]
% right_division(Y,right_division(right_division(X,Y),right_division(identity,X)))
% <->
% right_division(identity,right_division(right_division(X,Y),right_division(Y,X)))
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [1204]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,X),Y))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 1074
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [1205]
% right_division(X,right_division(X,right_division(Y,right_division(Z,right_division(identity,Y)))))
% <-> right_division(identity,right_division(X,right_division(X,Z)))
% Current number of equations to process: 1073
% Current number of ordered equations: 1
% Current number of rules: 636
% New rule produced :
% [1206]
% right_division(identity,right_division(X,right_division(X,Z))) <->
% right_division(X,right_division(X,right_division(Y,right_division(Z,right_division(identity,Y)))))
% Current number of equations to process: 1073
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [1207]
% right_division(X,right_division(identity,right_division(X,right_division(X,Y))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),X))))
% Current number of equations to process: 1072
% Current number of ordered equations: 1
% Current number of rules: 638
% New rule produced :
% [1208]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),X))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(X,Y))))
% Current number of equations to process: 1072
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [1209]
% right_division(right_division(X,Y),right_division(X,right_division(identity,Y)))
% ->
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(X,Y)))))
% Rule
% [609]
% right_division(identity,right_division(right_division(X,Y),right_division(X,
% right_division(identity,Y))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% collapsed.
% Current number of equations to process: 1071
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [1210]
% right_division(right_division(identity,right_division(X,right_division(X,Y))),
% right_division(identity,right_division(X,right_division(identity,Y)))) -> X
% Current number of equations to process: 1070
% Current number of ordered equations: 0
% Current number of rules: 640
% Rule [923]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(right_division(identity,Y),right_division(right_division(identity,X),
% right_division(identity,Y))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))) is composed into 
% [923]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(right_division(identity,Y),right_division(right_division(identity,X),
% right_division(identity,Y)))) ->
% right_division(Y,right_division(identity,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))
% Rule [490]
% right_division(right_division(identity,Y),right_division(identity,X))
% <->
% right_division(X,right_division(right_division(identity,X),right_division(
% right_division(identity,X),Y))) is composed into 
% [490]
% right_division(right_division(identity,Y),right_division(identity,X)) <->
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Y)))
% New rule produced :
% [1211]
% right_division(X,right_division(right_division(identity,X),right_division(
% right_division(identity,X),Y)))
% ->
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Y)))
% Rule
% [489]
% right_division(X,right_division(right_division(identity,X),right_division(
% right_division(identity,X),Y)))
% <-> right_division(right_division(identity,Y),right_division(identity,X))
% collapsed.
% Rule
% [978]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))),
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))),
% right_division(X,right_division(identity,right_division(Y,right_division(X,
% right_division(identity,X))))))))
% -> X collapsed.
% Rule
% [1062]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))))))
% -> right_division(Y,right_division(identity,X)) collapsed.
% Rule
% [1176]
% right_division(Y,right_division(right_division(identity,Y),right_division(
% right_division(identity,Y),
% right_division(Y,X))))
% -> X collapsed.
% Current number of equations to process: 1071
% Current number of ordered equations: 0
% Current number of rules: 637
% Rule [612]
% right_division(X,right_division(identity,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,Z)))))) is composed into 
% [612]
% right_division(X,right_division(identity,right_division(Y,X))) <->
% right_division(X,right_division(X,Y))
% New rule produced :
% [1212]
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,Z))))))
% -> right_division(X,right_division(X,Y))
% Rule
% [613]
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,Z))))))
% <-> right_division(X,right_division(identity,right_division(Y,X))) collapsed.
% Current number of equations to process: 1070
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [1213]
% right_division(X,right_division(X,right_division(Y,Z))) <->
% right_division(identity,right_division(X,right_division(X,right_division(Z,Y))))
% Current number of equations to process: 1078
% Current number of ordered equations: 1
% Current number of rules: 638
% New rule produced :
% [1214]
% right_division(identity,right_division(X,right_division(X,right_division(Z,Y))))
% <-> right_division(X,right_division(X,right_division(Y,Z)))
% Current number of equations to process: 1078
% Current number of ordered equations: 0
% Current number of rules: 639
% Rule [475]
% right_division(X,Y) <->
% right_division(Y,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))) is composed into 
% [475]
% right_division(X,Y) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(identity,X))))
% New rule produced :
% [1215]
% right_division(X,right_division(X,right_division(right_division(identity,X),Y)))
% -> right_division(identity,right_division(X,right_division(identity,Y)))
% Rule
% [476]
% right_division(Y,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))) <->
% right_division(X,Y) collapsed.
% Rule
% [1204]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,X),Y))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [1216]
% right_division(X,right_division(X,right_division(identity,Y))) <->
% right_division(identity,right_division(X,right_division(identity,right_division(Y,X))))
% Current number of equations to process: 1119
% Current number of ordered equations: 1
% Current number of rules: 639
% New rule produced :
% [1217]
% right_division(identity,right_division(X,right_division(identity,right_division(Y,X))))
% <-> right_division(X,right_division(X,right_division(identity,Y)))
% Rule
% [557]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))))
% <->
% right_division(X,right_division(X,right_division(X,right_division(identity,Y))))
% collapsed.
% Current number of equations to process: 1119
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [1218]
% right_division(right_division(identity,X),right_division(right_division(identity,X),
% right_division(X,Y))) ->
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Y)))
% Current number of equations to process: 1118
% Current number of ordered equations: 0
% Current number of rules: 640
% New rule produced :
% [1219]
% right_division(X,right_division(X,right_division(right_division(identity,Y),X)))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(X,Y)))))
% Current number of equations to process: 1117
% Current number of ordered equations: 1
% Current number of rules: 641
% New rule produced :
% [1220]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(X,right_division(right_division(identity,Y),X)))
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 642
% New rule produced :
% [1221]
% right_division(right_division(X,right_division(Y,right_division(Y,Z))),
% right_division(Y,right_division(Y,right_division(identity,Z)))) -> X
% Current number of equations to process: 1115
% Current number of ordered equations: 1
% Current number of rules: 643
% New rule produced :
% [1222]
% right_division(right_division(X,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(X,Y)))) -> identity
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 644
% New rule produced :
% [1223]
% right_division(right_division(identity,right_division(X,Y)),right_division(Z,
% right_division(X,
% right_division(identity,Z))))
% -> Y
% Current number of equations to process: 1145
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [1224]
% right_division(right_division(X,Y),right_division(Z,right_division(Y,
% right_division(V_3,
% right_division(Z,
% right_division(identity,V_3))))))
% -> X
% Current number of equations to process: 1143
% Current number of ordered equations: 1
% Current number of rules: 646
% New rule produced :
% [1225]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(Z,right_division(Y,right_division(identity,Z)))) -> identity
% Current number of equations to process: 1143
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [1226]
% right_division(identity,right_division(right_division(X,right_division(Y,
% right_division(identity,X))),Z))
% <-> right_division(Z,right_division(identity,Y))
% Current number of equations to process: 1144
% Current number of ordered equations: 1
% Current number of rules: 648
% New rule produced :
% [1227]
% right_division(Z,right_division(identity,Y)) <->
% right_division(identity,right_division(right_division(X,right_division(Y,
% right_division(identity,X))),Z))
% Current number of equations to process: 1144
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced :
% [1228]
% right_division(X,right_division(Y,right_division(identity,right_division(Y,X))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(Y,X))))
% Current number of equations to process: 1170
% Current number of ordered equations: 1
% Current number of rules: 650
% New rule produced :
% [1229]
% right_division(identity,right_division(Y,right_division(X,right_division(Y,X))))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(Y,X))))
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 651
% New rule produced :
% [1230]
% right_division(X,right_division(Y,right_division(right_division(identity,Y),X)))
% <->
% right_division(right_division(X,Y),right_division(Y,right_division(identity,X)))
% Current number of equations to process: 1169
% Current number of ordered equations: 1
% Current number of rules: 652
% New rule produced :
% [1231]
% right_division(right_division(X,Y),right_division(Y,right_division(identity,X)))
% <->
% right_division(X,right_division(Y,right_division(right_division(identity,Y),X)))
% Current number of equations to process: 1169
% Current number of ordered equations: 0
% Current number of rules: 653
% New rule produced :
% [1232]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y)))) <->
% right_division(right_division(identity,X),right_division(X,Y))
% Rule
% [908]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% <->
% right_division(right_division(identity,X),right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))))
% collapsed.
% Current number of equations to process: 1168
% Current number of ordered equations: 1
% Current number of rules: 653
% New rule produced :
% [1233]
% right_division(right_division(identity,X),right_division(X,Y)) <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% Rule
% [909]
% right_division(right_division(identity,X),right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% collapsed.
% Current number of equations to process: 1168
% Current number of ordered equations: 0
% Current number of rules: 653
% New rule produced :
% [1234]
% right_division(right_division(X,right_division(X,Y)),right_division(Z,
% right_division(X,
% right_division(identity,Z))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 654
% New rule produced :
% [1235]
% right_division(identity,right_division(Z,right_division(identity,Y))) <->
% right_division(right_division(X,right_division(Y,right_division(identity,X))),Z)
% Current number of equations to process: 1190
% Current number of ordered equations: 1
% Current number of rules: 655
% New rule produced :
% [1236]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),Z)
% <-> right_division(identity,right_division(Z,right_division(identity,Y)))
% Current number of equations to process: 1190
% Current number of ordered equations: 0
% Current number of rules: 656
% New rule produced :
% [1237]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,X))))
% <-> right_division(right_division(X,Y),Z)
% Rule
% [709]
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,
% right_division(identity,X))))))
% ->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))
% collapsed.
% Rule
% [749]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))),
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% -> Y collapsed.
% Rule
% [1014]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(Y,X)),
% right_division(identity,
% right_division(X,Y)))))))
% ->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X))))
% collapsed.
% Rule
% [1100]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,Y)))),
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(
% right_division(Y,
% right_division(Y,X)),
% right_division(identity,
% right_division(X,Y)))))))
% -> right_division(X,Y) collapsed.
% Current number of equations to process: 1205
% Current number of ordered equations: 1
% Current number of rules: 653
% New rule produced :
% [1238]
% right_division(right_division(X,Y),Z) <->
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,X))))
% Current number of equations to process: 1205
% Current number of ordered equations: 0
% Current number of rules: 654
% New rule produced :
% [1239]
% right_division(right_division(identity,right_division(X,Y)),right_division(
% right_division(identity,Y),X))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 655
% New rule produced :
% [1240]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,Y)))))
% <->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),Z)
% Current number of equations to process: 1234
% Current number of ordered equations: 1
% Current number of rules: 656
% New rule produced :
% [1241]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),Z)
% <->
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,Y)))))
% Current number of equations to process: 1234
% Current number of ordered equations: 0
% Current number of rules: 657
% New rule produced :
% [1242]
% right_division(identity,right_division(Z,right_division(identity,right_division(X,
% right_division(X,Y)))))
% <->
% right_division(right_division(X,right_division(X,right_division(identity,Y))),Z)
% Current number of equations to process: 1233
% Current number of ordered equations: 1
% Current number of rules: 658
% New rule produced :
% [1243]
% right_division(right_division(X,right_division(X,right_division(identity,Y))),Z)
% <->
% right_division(identity,right_division(Z,right_division(identity,right_division(X,
% right_division(X,Y)))))
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 659
% New rule produced :
% [1244]
% right_division(right_division(X,Y),right_division(right_division(Z,right_division(X,
% right_division(identity,Z))),Y))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 1232
% Current number of ordered equations: 0
% Current number of rules: 660
% New rule produced :
% [1245]
% right_division(X,right_division(Y,right_division(right_division(identity,Y),X)))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(identity,X),Y)))
% Current number of equations to process: 1271
% Current number of ordered equations: 1
% Current number of rules: 661
% New rule produced :
% [1246]
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(identity,X),Y)))
% <->
% right_division(X,right_division(Y,right_division(right_division(identity,Y),X)))
% Current number of equations to process: 1271
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [1247]
% right_division(right_division(X,right_division(Y,X)),right_division(Z,
% right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% -> right_division(identity,Z)
% Current number of equations to process: 1270
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [1248]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(Z,right_division(Y,right_division(X,Y)))) ->
% right_division(identity,Z)
% Rule
% [997]
% right_division(identity,right_division(right_division(X,right_division(Y,
% right_division(identity,Y))),
% right_division(Y,right_division(Y,right_division(X,Y)))))
% -> Y collapsed.
% Rule
% [1197]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(X,Y)))) -> identity
% collapsed.
% Current number of equations to process: 1269
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [1249]
% right_division(X,right_division(X,right_division(X,right_division(X,right_division(identity,Y)))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(X,
% right_division(X,Y)))))
% Current number of equations to process: 1267
% Current number of ordered equations: 1
% Current number of rules: 663
% New rule produced :
% [1250]
% right_division(identity,right_division(X,right_division(X,right_division(X,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(X,right_division(X,right_division(X,right_division(identity,Y)))))
% Current number of equations to process: 1267
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [1251]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(X,Y)))) ->
% right_division(identity,X)
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 665
% New rule produced :
% [1252]
% right_division(X,right_division(X,right_division(Y,right_division(Z,right_division(identity,Z)))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,Z)))))
% Current number of equations to process: 1265
% Current number of ordered equations: 1
% Current number of rules: 666
% New rule produced :
% [1253]
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,Z)))))
% <->
% right_division(X,right_division(X,right_division(Y,right_division(Z,right_division(identity,Z)))))
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 667
% New rule produced :
% [1254]
% right_division(right_division(X,right_division(X,Y)),right_division(Z,
% right_division(X,
% right_division(X,
% right_division(identity,Y)))))
% -> right_division(identity,Z)
% Current number of equations to process: 1263
% Current number of ordered equations: 0
% Current number of rules: 668
% New rule produced :
% [1255]
% right_division(right_division(X,right_division(X,right_division(identity,Y))),
% right_division(Z,right_division(X,right_division(X,Y)))) ->
% right_division(identity,Z)
% Rule
% [1222]
% right_division(right_division(X,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(X,Y)))) -> identity
% collapsed.
% Current number of equations to process: 1262
% Current number of ordered equations: 0
% Current number of rules: 668
% New rule produced :
% [1256]
% right_division(X,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(X,Y)))))
% Current number of equations to process: 1261
% Current number of ordered equations: 1
% Current number of rules: 669
% New rule produced :
% [1257]
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 1261
% Current number of ordered equations: 0
% Current number of rules: 670
% New rule produced :
% [1258]
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(X,Y)))))
% Current number of equations to process: 1259
% Current number of ordered equations: 3
% Current number of rules: 671
% New rule produced :
% [1259]
% right_division(X,right_division(X,right_division(Y,right_division(Y,right_division(identity,Z)))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(Y,
% right_division(Y,Z)))))
% Rule
% [1249]
% right_division(X,right_division(X,right_division(X,right_division(X,right_division(identity,Y)))))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(X,
% right_division(X,Y)))))
% collapsed.
% Current number of equations to process: 1259
% Current number of ordered equations: 2
% Current number of rules: 671
% New rule produced :
% [1260]
% right_division(identity,right_division(X,right_division(identity,right_division(X,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% Current number of equations to process: 1259
% Current number of ordered equations: 1
% Current number of rules: 672
% New rule produced :
% [1261]
% right_division(identity,right_division(X,right_division(X,right_division(Y,
% right_division(Y,Z)))))
% <->
% right_division(X,right_division(X,right_division(Y,right_division(Y,right_division(identity,Z)))))
% Rule
% [1250]
% right_division(identity,right_division(X,right_division(X,right_division(X,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(X,right_division(X,right_division(X,right_division(identity,Y)))))
% collapsed.
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 672
% New rule produced :
% [1262]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(Y,right_division(identity,right_division(X,Y)))) ->
% right_division(X,Y)
% Current number of equations to process: 1258
% Current number of ordered equations: 0
% Current number of rules: 673
% New rule produced :
% [1263]
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),Y)))
% Current number of equations to process: 1257
% Current number of ordered equations: 1
% Current number of rules: 674
% New rule produced :
% [1264]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),Y)))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 1257
% Current number of ordered equations: 0
% Current number of rules: 675
% New rule produced :
% [1265]
% right_division(right_division(right_division(X,Y),Z),right_division(right_division(Y,X),Z))
% ->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X))))
% Current number of equations to process: 1256
% Current number of ordered equations: 0
% Current number of rules: 676
% New rule produced :
% [1266]
% right_division(X,right_division(Y,right_division(identity,X))) <->
% right_division(Z,right_division(Y,right_division(V_3,right_division(Z,
% right_division(identity,V_3)))))
% Current number of equations to process: 1289
% Current number of ordered equations: 1
% Current number of rules: 677
% New rule produced :
% [1267]
% right_division(Z,right_division(Y,right_division(V_3,right_division(Z,
% right_division(identity,V_3)))))
% <-> right_division(X,right_division(Y,right_division(identity,X)))
% Current number of equations to process: 1289
% Current number of ordered equations: 0
% Current number of rules: 678
% New rule produced :
% [1268]
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(X,
% right_division(identity,Z))))),
% right_division(identity,Y)) -> identity
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 679
% New rule produced :
% [1269]
% right_division(identity,Y) <->
% right_division(X,right_division(Y,right_division(Z,right_division(X,right_division(V_3,
% right_division(Z,
% right_division(identity,V_3)))))))
% Current number of equations to process: 1287
% Current number of ordered equations: 1
% Current number of rules: 680
% New rule produced :
% [1270]
% right_division(X,right_division(Y,right_division(Z,right_division(X,right_division(V_3,
% right_division(Z,
% right_division(identity,V_3)))))))
% <-> right_division(identity,Y)
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 681
% New rule produced :
% [1271]
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(X,
% right_division(identity,Z))))),
% right_division(V_3,Y)) -> right_division(identity,V_3)
% Rule
% [1268]
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(X,
% right_division(identity,Z))))),
% right_division(identity,Y)) -> identity collapsed.
% Current number of equations to process: 1286
% Current number of ordered equations: 0
% Current number of rules: 681
% New rule produced :
% [1272]
% right_division(identity,right_division(Y,right_division(Z,right_division(X,
% right_division(identity,Z)))))
% <-> right_division(right_division(identity,X),Y)
% Current number of equations to process: 1295
% Current number of ordered equations: 1
% Current number of rules: 682
% New rule produced :
% [1273]
% right_division(right_division(identity,X),Y) <->
% right_division(identity,right_division(Y,right_division(Z,right_division(X,
% right_division(identity,Z)))))
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 683
% New rule produced :
% [1274]
% right_division(identity,right_division(V_3,right_division(identity,Y))) <->
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(X,
% right_division(identity,Z))))),V_3)
% Current number of equations to process: 1322
% Current number of ordered equations: 1
% Current number of rules: 684
% New rule produced :
% [1275]
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(X,
% right_division(identity,Z))))),V_3)
% <-> right_division(identity,right_division(V_3,right_division(identity,Y)))
% Current number of equations to process: 1322
% Current number of ordered equations: 0
% Current number of rules: 685
% New rule produced :
% [1276]
% right_division(right_division(identity,X),right_division(Y,right_division(X,
% right_division(
% right_division(identity,Y),X))))
% -> X
% Current number of equations to process: 1346
% Current number of ordered equations: 0
% Current number of rules: 686
% New rule produced :
% [1277]
% right_division(right_division(X,Y),right_division(Z,right_division(Y,
% right_division(right_division(identity,Z),Y))))
% -> right_division(X,right_division(identity,Y))
% Rule
% [1276]
% right_division(right_division(identity,X),right_division(Y,right_division(X,
% right_division(
% right_division(identity,Y),X))))
% -> X collapsed.
% Current number of equations to process: 1362
% Current number of ordered equations: 0
% Current number of rules: 686
% New rule produced :
% [1278]
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% <->
% right_division(Z,right_division(Y,right_division(right_division(identity,Z),Y)))
% Current number of equations to process: 1360
% Current number of ordered equations: 3
% Current number of rules: 687
% New rule produced :
% [1279]
% right_division(identity,right_division(X,right_division(Y,right_division(X,
% right_division(identity,Y)))))
% <->
% right_division(Z,right_division(X,right_division(right_division(identity,Z),X)))
% Current number of equations to process: 1360
% Current number of ordered equations: 2
% Current number of rules: 688
% New rule produced :
% [1280]
% right_division(Z,right_division(Y,right_division(right_division(identity,Z),Y)))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% Current number of equations to process: 1360
% Current number of ordered equations: 1
% Current number of rules: 689
% New rule produced :
% [1281]
% right_division(Z,right_division(X,right_division(right_division(identity,Z),X)))
% <->
% right_division(identity,right_division(X,right_division(Y,right_division(X,
% right_division(identity,Y)))))
% Current number of equations to process: 1360
% Current number of ordered equations: 0
% Current number of rules: 690
% New rule produced :
% [1282]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(right_division(X,right_division(Y,right_division(right_division(identity,X),Y))),Z)
% Current number of equations to process: 1390
% Current number of ordered equations: 1
% Current number of rules: 691
% New rule produced :
% [1283]
% right_division(right_division(X,right_division(Y,right_division(right_division(identity,X),Y))),Z)
% <->
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 1390
% Current number of ordered equations: 0
% Current number of rules: 692
% New rule produced :
% [1284]
% right_division(identity,right_division(Y,right_division(identity,Y))) <->
% right_division(X,right_division(Y,right_division(right_division(Z,right_division(X,
% right_division(identity,Z))),Y)))
% Current number of equations to process: 1389
% Current number of ordered equations: 1
% Current number of rules: 693
% New rule produced :
% [1285]
% right_division(X,right_division(Y,right_division(right_division(Z,right_division(X,
% right_division(identity,Z))),Y)))
% <-> right_division(identity,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 1389
% Current number of ordered equations: 0
% Current number of rules: 694
% New rule produced :
% [1286]
% right_division(identity,right_division(Z,right_division(identity,Z))) <->
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(Z,right_division(Y,Z)))
% Current number of equations to process: 1388
% Current number of ordered equations: 1
% Current number of rules: 695
% New rule produced :
% [1287]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(Z,right_division(Y,Z))) <->
% right_division(identity,right_division(Z,right_division(identity,Z)))
% Current number of equations to process: 1388
% Current number of ordered equations: 0
% Current number of rules: 696
% New rule produced :
% [1288]
% right_division(right_division(identity,X),right_division(right_division(identity,Y),
% right_division(X,right_division(Y,X))))
% -> X
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 697
% New rule produced :
% [1289]
% right_division(right_division(X,Y),right_division(Z,right_division(right_division(Y,X),Z)))
% -> right_division(identity,right_division(Z,right_division(identity,Z)))
% Rule
% [1190]
% right_division(identity,right_division(right_division(X,Y),right_division(Z,
% right_division(
% right_division(Y,X),Z))))
% -> right_division(Z,right_division(identity,Z)) collapsed.
% Current number of equations to process: 1420
% Current number of ordered equations: 0
% Current number of rules: 697
% New rule produced :
% [1290]
% right_division(right_division(X,Y),right_division(right_division(identity,Z),
% right_division(Y,right_division(Z,Y)))) ->
% right_division(X,right_division(identity,Y))
% Rule
% [1288]
% right_division(right_division(identity,X),right_division(right_division(identity,Y),
% right_division(X,right_division(Y,X))))
% -> X collapsed.
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 697
% New rule produced :
% [1291]
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% <->
% right_division(right_division(identity,Z),right_division(Y,right_division(Z,Y)))
% Current number of equations to process: 1417
% Current number of ordered equations: 3
% Current number of rules: 698
% New rule produced :
% [1292]
% right_division(identity,right_division(X,right_division(Y,right_division(X,
% right_division(identity,Y)))))
% <->
% right_division(right_division(identity,Z),right_division(X,right_division(Z,X)))
% Current number of equations to process: 1417
% Current number of ordered equations: 2
% Current number of rules: 699
% New rule produced :
% [1293]
% right_division(right_division(identity,Z),right_division(X,right_division(Z,X)))
% <->
% right_division(identity,right_division(X,right_division(Y,right_division(X,
% right_division(identity,Y)))))
% Current number of equations to process: 1417
% Current number of ordered equations: 1
% Current number of rules: 700
% New rule produced :
% [1294]
% right_division(right_division(identity,Z),right_division(Y,right_division(Z,Y)))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% Current number of equations to process: 1417
% Current number of ordered equations: 0
% Current number of rules: 701
% New rule produced :
% [1295]
% right_division(X,right_division(Y,right_division(right_division(identity,X),Y)))
% <->
% right_division(right_division(identity,Z),right_division(Y,right_division(Z,Y)))
% Current number of equations to process: 1427
% Current number of ordered equations: 1
% Current number of rules: 702
% New rule produced :
% [1296]
% right_division(right_division(identity,Z),right_division(Y,right_division(Z,Y)))
% <->
% right_division(X,right_division(Y,right_division(right_division(identity,X),Y)))
% Current number of equations to process: 1427
% Current number of ordered equations: 0
% Current number of rules: 703
% New rule produced :
% [1297]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(right_division(right_division(identity,X),right_division(Y,
% right_division(X,Y))),Z)
% Current number of equations to process: 1464
% Current number of ordered equations: 1
% Current number of rules: 704
% New rule produced :
% [1298]
% right_division(right_division(right_division(identity,X),right_division(Y,
% right_division(X,Y))),Z)
% <->
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 1464
% Current number of ordered equations: 0
% Current number of rules: 705
% New rule produced :
% [1299]
% right_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% <-> right_division(right_division(identity,X),Y)
% Current number of equations to process: 1545
% Current number of ordered equations: 1
% Current number of rules: 706
% New rule produced :
% [1300]
% right_division(right_division(identity,X),Y) <->
% right_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 1545
% Current number of ordered equations: 0
% Current number of rules: 707
% New rule produced :
% [1301]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% -> right_division(identity,X)
% Current number of equations to process: 1544
% Current number of ordered equations: 0
% Current number of rules: 708
% New rule produced :
% [1302]
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% <->
% right_division(right_division(identity,X),right_division(Y,right_division(identity,X)))
% Current number of equations to process: 1588
% Current number of ordered equations: 1
% Current number of rules: 709
% New rule produced :
% [1303]
% right_division(right_division(identity,X),right_division(Y,right_division(identity,X)))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% Current number of rules: 710
% New rule produced :
% [1304]
% right_division(right_division(identity,right_division(X,Y)),right_division(Y,
% right_division(X,
% right_division(identity,X))))
% -> right_division(Y,right_division(Y,X))
% Current number of equations to process: 1587
% Current number of ordered equations: 0
% Current number of rules: 711
% New rule produced :
% [1305]
% right_division(X,right_division(Y,right_division(X,Y))) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 1586
% Current number of ordered equations: 1
% Current number of rules: 712
% New rule produced :
% [1306]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))))
% <-> right_division(X,right_division(Y,right_division(X,Y)))
% Current number of equations to process: 1586
% Current number of ordered equations: 0
% Current number of rules: 713
% New rule produced :
% [1307]
% right_division(X,right_division(X,right_division(X,Y))) <->
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 1585
% Current number of ordered equations: 1
% Current number of rules: 714
% New rule produced :
% [1308]
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))))
% <-> right_division(X,right_division(X,right_division(X,Y)))
% Current number of equations to process: 1585
% Current number of ordered equations: 0
% Current number of rules: 715
% New rule produced :
% [1309]
% right_division(identity,right_division(X,right_division(Y,right_division(Z,
% right_division(Y,
% right_division(identity,Z))))))
% <-> right_division(Y,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 1584
% Current number of ordered equations: 1
% Current number of rules: 716
% New rule produced :
% [1310]
% right_division(Y,right_division(identity,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(Y,right_division(Z,
% right_division(Y,
% right_division(identity,Z))))))
% Current number of equations to process: 1584
% Current number of ordered equations: 0
% Current number of rules: 717
% New rule produced :
% [1311]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))),
% right_division(right_division(identity,Y),X)) -> X
% Current number of equations to process: 1622
% Current number of ordered equations: 0
% Current number of rules: 718
% New rule produced :
% [1312]
% right_division(identity,right_division(X,right_division(right_division(Y,Z),
% right_division(Z,Y)))) <->
% right_division(right_division(Y,Z),right_division(identity,right_division(
% right_division(Y,Z),X)))
% Current number of equations to process: 1621
% Current number of ordered equations: 1
% Current number of rules: 719
% New rule produced :
% [1313]
% right_division(right_division(Y,Z),right_division(identity,right_division(
% right_division(Y,Z),X)))
% <->
% right_division(identity,right_division(X,right_division(right_division(Y,Z),
% right_division(Z,Y))))
% Current number of equations to process: 1621
% Current number of ordered equations: 0
% Current number of rules: 720
% New rule produced :
% [1314]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(Y,Z)))),
% right_division(right_division(Z,Y),X)) -> X
% Current number of equations to process: 1672
% Current number of ordered equations: 0
% Current number of rules: 721
% New rule produced :
% [1315]
% right_division(right_division(right_division(X,Y),right_division(identity,X)),
% right_division(right_division(identity,Y),right_division(identity,X))) -> X
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 722
% New rule produced :
% [1316]
% right_division(right_division(X,right_division(Y,X)),right_division(Y,
% right_division(identity,
% right_division(X,Y))))
% -> right_division(identity,right_division(Y,X))
% Current number of equations to process: 1670
% Current number of ordered equations: 0
% Current number of rules: 723
% New rule produced :
% [1317]
% right_division(right_division(identity,X),right_division(right_division(identity,Y),
% right_division(X,right_division(Y,
% right_division(X,Y)))))
% -> right_division(X,Y)
% Current number of equations to process: 1669
% Current number of ordered equations: 0
% Current number of rules: 724
% Rule [463]
% right_division(right_division(identity,Y),X) <->
% right_division(right_division(identity,X),right_division(X,right_division(identity,
% right_division(Y,X)))) is composed into 
% [463]
% right_division(right_division(identity,Y),X) <->
% right_division(identity,right_division(X,right_division(identity,Y)))
% New rule produced :
% [1318]
% right_division(right_division(identity,X),right_division(X,right_division(identity,
% right_division(Y,X))))
% -> right_division(identity,right_division(X,right_division(identity,Y)))
% Rule
% [464]
% right_division(right_division(identity,X),right_division(X,right_division(identity,
% right_division(Y,X))))
% <-> right_division(right_division(identity,Y),X) collapsed.
% Rule
% [488]
% right_division(right_division(identity,X),right_division(X,right_division(identity,
% right_division(
% right_division(identity,Y),X))))
% -> right_division(Y,X) collapsed.
% Current number of equations to process: 1728
% Current number of ordered equations: 0
% Current number of rules: 723
% New rule produced :
% [1319]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(X,right_division(Y,X)))))
% -> right_division(identity,X)
% Current number of equations to process: 1777
% Current number of ordered equations: 0
% Current number of rules: 724
% New rule produced :
% [1320]
% right_division(X,right_division(Y,right_division(X,right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(identity,Z),right_division(X,
% right_division(Z,X))))
% Current number of equations to process: 1779
% Current number of ordered equations: 1
% Current number of rules: 725
% New rule produced :
% [1321]
% right_division(identity,right_division(right_division(identity,Z),right_division(X,
% right_division(Z,X))))
% <->
% right_division(X,right_division(Y,right_division(X,right_division(identity,Y))))
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 726
% New rule produced :
% [1322]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(Y,right_division(X,Y)))),Z)
% -> right_division(Y,right_division(identity,right_division(Y,Z)))
% Current number of equations to process: 1778
% Current number of ordered equations: 0
% Current number of rules: 727
% New rule produced :
% [1323]
% right_division(right_division(identity,Z),right_division(Y,right_division(Z,Y)))
% <->
% right_division(right_division(identity,X),right_division(Y,right_division(X,Y)))
% Current number of equations to process: 1795
% Current number of ordered equations: 0
% Current number of rules: 728
% New rule produced :
% [1324]
% right_division(identity,right_division(Z,right_division(X,Z))) <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Z,right_division(Y,Z)))))
% Current number of equations to process: 1830
% Current number of ordered equations: 1
% Current number of rules: 729
% New rule produced :
% [1325]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Z,right_division(Y,Z)))))
% <-> right_division(identity,right_division(Z,right_division(X,Z)))
% Current number of equations to process: 1830
% Current number of ordered equations: 0
% Current number of rules: 730
% New rule produced :
% [1326]
% right_division(X,right_division(Y,right_division(identity,right_division(X,Y))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(X,Y))))
% Current number of equations to process: 1927
% Current number of ordered equations: 1
% Current number of rules: 731
% New rule produced :
% [1327]
% right_division(identity,right_division(Y,right_division(X,right_division(X,Y))))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(X,Y))))
% Current number of equations to process: 1927
% Current number of ordered equations: 0
% Current number of rules: 732
% New rule produced :
% [1328]
% right_division(identity,right_division(X,right_division(right_division(identity,X),Y)))
% <->
% right_division(Y,right_division(X,right_division(right_division(identity,Y),
% right_division(Y,right_division(identity,X)))))
% Current number of equations to process: 1926
% Current number of ordered equations: 1
% Current number of rules: 733
% New rule produced :
% [1329]
% right_division(Y,right_division(X,right_division(right_division(identity,Y),
% right_division(Y,right_division(identity,X)))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),Y)))
% Current number of equations to process: 1926
% Current number of ordered equations: 0
% Current number of rules: 734
% New rule produced :
% [1330]
% right_division(right_division(X,right_division(Y,X)),right_division(Y,
% right_division(Y,
% right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(Y,X))))
% Current number of equations to process: 1925
% Current number of ordered equations: 0
% Current number of rules: 735
% New rule produced :
% [1331]
% right_division(right_division(X,right_division(X,Y)),right_division(X,
% right_division(X,
% right_division(identity,Y))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(X,Y))))
% Current number of equations to process: 1924
% Current number of ordered equations: 0
% Current number of rules: 736
% New rule produced :
% [1332]
% right_division(right_division(X,Y),right_division(right_division(X,Y),
% right_division(Y,right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(X,Y))))
% Current number of equations to process: 1923
% Current number of ordered equations: 0
% Current number of rules: 737
% New rule produced :
% [1333]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(Z,right_division(Y,right_division(identity,Z)))) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 1922
% Current number of ordered equations: 0
% Current number of rules: 738
% New rule produced :
% [1334]
% right_division(right_division(identity,right_division(X,right_division(X,Y))),
% right_division(right_division(Z,right_division(Y,right_division(identity,Z))),X))
% -> X
% Current number of equations to process: 1921
% Current number of ordered equations: 0
% Current number of rules: 739
% New rule produced :
% [1335]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(identity,Y))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 1920
% Current number of ordered equations: 0
% Current number of rules: 740
% New rule produced :
% [1336]
% right_division(right_division(X,right_division(X,right_division(X,Y))),
% right_division(identity,right_division(X,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 1919
% Current number of ordered equations: 0
% Current number of rules: 741
% New rule produced :
% [1337]
% right_division(identity,right_division(X,right_division(Y,right_division(Z,
% right_division(X,
% right_division(V_3,
% right_division(Z,
% right_division(identity,V_3))))))))
% -> Y
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 742
% New rule produced :
% [1338]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(Z,right_division(Y,right_division(right_division(identity,Z),Y))))
% -> X
% Current number of equations to process: 1917
% Current number of ordered equations: 0
% Current number of rules: 743
% New rule produced :
% [1339]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(right_division(identity,Z),right_division(Y,right_division(Z,Y))))
% -> X
% Current number of equations to process: 1916
% Current number of ordered equations: 0
% Current number of rules: 744
% New rule produced :
% [1340]
% right_division(identity,right_division(right_division(X,Y),right_division(Y,X)))
% <->
% right_division(right_division(identity,Z),right_division(right_division(X,Y),
% right_division(Z,right_division(X,Y))))
% Current number of equations to process: 1915
% Current number of ordered equations: 1
% Current number of rules: 745
% New rule produced :
% [1341]
% right_division(right_division(identity,Z),right_division(right_division(X,Y),
% right_division(Z,right_division(X,Y))))
% <->
% right_division(identity,right_division(right_division(X,Y),right_division(Y,X)))
% Current number of equations to process: 1915
% Current number of ordered equations: 0
% Current number of rules: 746
% New rule produced :
% [1342]
% right_division(right_division(identity,right_division(X,Y)),right_division(
% right_division(Z,
% right_division(Y,
% right_division(identity,Z))),X))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 1914
% Current number of ordered equations: 0
% Current number of rules: 747
% New rule produced :
% [1343]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(X,right_division(identity,X)))))
% -> identity
% Current number of equations to process: 1912
% Current number of ordered equations: 1
% Current number of rules: 748
% New rule produced :
% [1344]
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(identity,Z)))),
% right_division(Z,right_division(identity,right_division(Z,Y)))) -> X
% Current number of equations to process: 1912
% Current number of ordered equations: 0
% Current number of rules: 749
% New rule produced :
% [1345]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),Z)
% Current number of equations to process: 1910
% Current number of ordered equations: 1
% Current number of rules: 750
% New rule produced :
% [1346]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),Z)
% <->
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 1910
% Current number of ordered equations: 0
% Current number of rules: 751
% New rule produced :
% [1347]
% right_division(X,right_division(Y,right_division(identity,right_division(Y,X))))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 1909
% Current number of ordered equations: 1
% Current number of rules: 752
% New rule produced :
% [1348]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(Y,X))))
% Current number of equations to process: 1909
% Current number of ordered equations: 0
% Current number of rules: 753
% New rule produced :
% [1349]
% right_division(identity,right_division(X,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% <->
% right_division(Y,right_division(right_division(X,Y),right_division(identity,X)))
% Current number of equations to process: 1906
% Current number of ordered equations: 1
% Current number of rules: 754
% New rule produced :
% [1350]
% right_division(Y,right_division(right_division(X,Y),right_division(identity,X)))
% <->
% right_division(identity,right_division(X,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% Current number of equations to process: 1906
% Current number of ordered equations: 0
% Current number of rules: 755
% New rule produced :
% [1351]
% right_division(identity,right_division(right_division(X,right_division(Y,
% right_division(identity,X))),
% right_division(Z,right_division(Y,Z)))) <->
% right_division(Z,right_division(identity,Z))
% Current number of equations to process: 1905
% Current number of ordered equations: 1
% Current number of rules: 756
% New rule produced :
% [1352]
% right_division(Z,right_division(identity,Z)) <->
% right_division(identity,right_division(right_division(X,right_division(Y,
% right_division(identity,X))),
% right_division(Z,right_division(Y,Z))))
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 757
% New rule produced :
% [1353]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,Y))))))
% -> Y
% Current number of equations to process: 2049
% Current number of ordered equations: 0
% Current number of rules: 758
% New rule produced :
% [1354]
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(Z,Y)))) ->
% right_division(X,right_division(Y,right_division(identity,Z)))
% Current number of equations to process: 2133
% Current number of ordered equations: 0
% Current number of rules: 759
% Rule [986]
% right_division(Z,right_division(identity,right_division(Y,X))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(right_division(identity,
% right_division(Y,X)),
% right_division(right_division(X,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z)))))) is composed into 
% [986]
% right_division(Z,right_division(identity,right_division(Y,X))) <->
% right_division(X,right_division(right_division(identity,c),right_division(
% right_division(Y,X),
% right_division(
% right_division(c,
% right_division(Y,X)),
% right_division(
% right_division(X,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))
% Rule [842]
% right_division(identity,right_division(right_division(identity,Y),
% right_division(Z,right_division(X,right_division(identity,Y)))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z)))))))) is composed into 
% [842]
% right_division(identity,right_division(right_division(identity,Y),right_division(Z,
% right_division(X,
% right_division(identity,Y)))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,c),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(
% right_division(c,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))))
% Rule [805]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(X,Y)),
% right_division(Y,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))) is composed into 
% [805]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))
% <->
% right_division(right_division(identity,c),right_division(right_division(X,Y),
% right_division(right_division(c,
% right_division(X,Y)),
% right_division(Y,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Rule [800]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(Z,right_division(identity,X))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(X,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))) is composed into 
% [800]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Z,
% right_division(identity,X))))
% <->
% right_division(right_division(identity,c),right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(c,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(X,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% New rule produced :
% [1355]
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),Z)))
% <->
% right_division(right_division(identity,X),right_division(Y,right_division(
% right_division(X,Y),Z)))
% Rule
% [786]
% right_division(identity,right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(X,Y)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,Y)))))))))
% ->
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% collapsed.
% Rule
% [799]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(X,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y))),right_division(identity,
% right_division(Z,
% right_division(identity,X))))
% collapsed.
% Rule
% [804]
% right_division(identity,right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(X,Y)),
% right_division(Y,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))
% collapsed.
% Rule
% [841]
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(Z,
% right_division(X,
% right_division(identity,Y)))))
% collapsed.
% Rule
% [985]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(right_division(identity,
% right_division(Y,X)),
% right_division(right_division(X,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z)))))) <->
% right_division(Z,right_division(identity,right_division(Y,X))) collapsed.
% Rule
% [1000]
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))) <->
% right_division(right_division(identity,X),right_division(Y,right_division(
% right_division(X,Y),
% right_division(identity,X))))
% collapsed.
% Current number of equations to process: 2137
% Current number of ordered equations: 1
% Current number of rules: 754
% New rule produced :
% [1356]
% right_division(right_division(identity,X),right_division(Y,right_division(
% right_division(X,Y),Z)))
% <->
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),Z)))
% Rule
% [1001]
% right_division(right_division(identity,X),right_division(Y,right_division(
% right_division(X,Y),
% right_division(identity,X))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X))))
% collapsed.
% Current number of equations to process: 2137
% Current number of ordered equations: 0
% Current number of rules: 754
% New rule produced :
% [1357]
% right_division(X,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),Z)))
% Rule
% [435]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),Z))))
% collapsed.
% Current number of equations to process: 2135
% Current number of ordered equations: 3
% Current number of rules: 754
% New rule produced :
% [1358]
% right_division(X,right_division(right_division(Y,X),Z)) <->
% right_division(right_division(X,right_division(right_division(identity,X),Z)),Y)
% Current number of equations to process: 2142
% Current number of ordered equations: 3
% Current number of rules: 755
% New rule produced :
% [1359]
% right_division(right_division(X,right_division(right_division(identity,X),Z)),Y)
% <-> right_division(X,right_division(right_division(Y,X),Z))
% Current number of equations to process: 2142
% Current number of ordered equations: 1
% Current number of rules: 756
% New rule produced :
% [1360]
% right_division(identity,right_division(X,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% <-> right_division(Y,right_division(X,right_division(Y,X)))
% Current number of equations to process: 2192
% Current number of ordered equations: 2
% Current number of rules: 757
% New rule produced :
% [1361]
% right_division(Y,right_division(X,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 2192
% Current number of ordered equations: 1
% Current number of rules: 758
% New rule produced :
% [1362]
% right_division(identity,right_division(X,right_division(Y,right_division(
% right_division(identity,Y),Z))))
% <-> right_division(Y,right_division(right_division(X,Y),Z))
% Rule
% [1349]
% right_division(identity,right_division(X,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% <->
% right_division(Y,right_division(right_division(X,Y),right_division(identity,X)))
% collapsed.
% Current number of equations to process: 2209
% Current number of ordered equations: 2
% Current number of rules: 758
% Rule [1081]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,
% right_division(Z,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(identity,right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(right_division(identity,X),
% right_division(right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(identity,
% right_division(right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z)))))))))) is composed into 
% [1081]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(identity,right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(identity,
% right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(identity,
% right_division(right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))))))))
% New rule produced :
% [1363]
% right_division(Y,right_division(right_division(X,Y),Z)) <->
% right_division(identity,right_division(X,right_division(Y,right_division(
% right_division(identity,Y),Z))))
% Rule
% [1350]
% right_division(Y,right_division(right_division(X,Y),right_division(identity,X)))
% <->
% right_division(identity,right_division(X,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% collapsed.
% Current number of equations to process: 2209
% Current number of ordered equations: 1
% Current number of rules: 758
% New rule produced :
% [1364]
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))
% <-> right_division(right_division(X,Y),right_division(identity,X))
% Current number of equations to process: 2466
% Current number of ordered equations: 2
% Current number of rules: 759
% New rule produced :
% [1365]
% right_division(right_division(X,Y),right_division(identity,X)) <->
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))
% Current number of equations to process: 2466
% Current number of ordered equations: 1
% Current number of rules: 760
% New rule produced :
% [1366]
% right_division(identity,right_division(right_division(identity,right_division(Z,Y)),
% right_division(identity,X))) <->
% right_division(right_division(identity,X),right_division(Y,Z))
% Current number of equations to process: 2829
% Current number of ordered equations: 2
% Current number of rules: 761
% New rule produced :
% [1367]
% right_division(right_division(identity,X),right_division(Y,Z)) <->
% right_division(identity,right_division(right_division(identity,right_division(Z,Y)),
% right_division(identity,X)))
% Rule
% [669]
% right_division(right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(Z,Y)) -> right_division(X,right_division(identity,Y))
% collapsed.
% Rule
% [898]
% right_division(identity,right_division(X,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(Y,X))))) ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% collapsed.
% Rule
% [1068]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X))))))),
% right_division(right_division(Y,X),right_division(X,right_division(identity,Y))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [1071]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))),
% right_division(Z,right_division(X,right_division(identity,Y)))) ->
% right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [1183]
% right_division(right_division(identity,right_division(Y,right_division(identity,X))),
% right_division(X,Y)) ->
% right_division(identity,right_division(X,right_division(identity,X)))
% collapsed.
% Rule
% [1311]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,X)))),
% right_division(right_division(identity,Y),X)) -> X collapsed.
% Current number of equations to process: 2833
% Current number of ordered equations: 1
% Current number of rules: 756
% New rule produced :
% [1368]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),Z)
% <->
% right_division(right_division(V_3,right_division(Y,right_division(identity,V_3))),Z)
% Current number of equations to process: 2880
% Current number of ordered equations: 1
% Current number of rules: 757
% New rule produced :
% [1369]
% right_division(right_division(X,Y),right_division(Y,right_division(Y,
% right_division(identity,X))))
% -> right_division(X,right_division(identity,right_division(X,Y)))
% Rule
% [782]
% right_division(identity,right_division(right_division(X,Y),right_division(X,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(Y,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 2966
% Current number of ordered equations: 1
% Current number of rules: 757
% New rule produced :
% [1370]
% right_division(Y,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% <-> right_division(right_division(identity,X),Y)
% Current number of equations to process: 3015
% Current number of ordered equations: 2
% Current number of rules: 758
% New rule produced :
% [1371]
% right_division(right_division(identity,X),Y) <->
% right_division(Y,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% Current number of equations to process: 3015
% Current number of ordered equations: 1
% Current number of rules: 759
% New rule produced :
% [1372]
% right_division(Y,right_division(X,right_division(identity,Y))) <->
% right_division(c,right_division(X,right_division(identity,c)))
% Current number of equations to process: 3224
% Current number of ordered equations: 2
% Current number of rules: 760
% New rule produced :
% [1373]
% right_division(c,right_division(X,right_division(identity,c))) <->
% right_division(Y,right_division(X,right_division(identity,Y)))
% Current number of equations to process: 3224
% Current number of ordered equations: 1
% Current number of rules: 761
% New rule produced :
% [1374]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(Y,X))) -> X
% Current number of equations to process: 3242
% Current number of ordered equations: 1
% Current number of rules: 762
% New rule produced :
% [1375]
% right_division(identity,right_division(Y,right_division(right_division(X,Y),Z)))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y)))))
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 763
% New rule produced :
% [1376]
% right_division(identity,right_division(X,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% -> right_division(Y,right_division(identity,X))
% Rule
% [605]
% right_division(Y,right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% -> right_division(identity,X) collapsed.
% Current number of equations to process: 3330
% Current number of ordered equations: 0
% Current number of rules: 763
% New rule produced :
% [1377]
% right_division(identity,right_division(right_division(identity,X),right_division(Y,Z)))
% <->
% right_division(right_division(Y,X),right_division(right_division(identity,X),
% right_division(X,Z)))
% Current number of equations to process: 3329
% Current number of ordered equations: 1
% Current number of rules: 764
% New rule produced :
% [1378]
% right_division(right_division(Y,X),right_division(right_division(identity,X),
% right_division(X,Z))) <->
% right_division(identity,right_division(right_division(identity,X),right_division(Y,Z)))
% Rule
% [1218]
% right_division(right_division(identity,X),right_division(right_division(identity,X),
% right_division(X,Y))) ->
% right_division(identity,right_division(right_division(identity,X),right_division(identity,Y)))
% collapsed.
% Current number of equations to process: 3329
% Current number of ordered equations: 0
% Current number of rules: 764
% Rule [1111]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(right_division(identity,X),
% right_division(identity,Y)))))
% ->
% right_division(identity,right_division(identity,right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(Y,
% right_division(identity,X))),
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(identity,Z)))))))))))))))))) is composed into 
% [1111]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(right_division(identity,X),
% right_division(identity,Y))))) ->
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,X))),
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,X))),
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,Z))))))))))))))))))))))))
% Rule [1109]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(identity,right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(Y,
% right_division(identity,X))),
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,Y)))))))))))))))) is composed into 
% [1109]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,X))),
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,X))),
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))))))))))))
% Rule [1107]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,Z)),
% right_division(X,right_division(right_division(identity,Z),
% right_division(right_division(identity,Y),
% right_division(identity,
% right_division(Z,right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))))))) is composed into 
% [1107]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% ->
% right_division(Z,right_division(right_division(identity,Y),right_division(
% right_division(identity,Z),
% right_division(Z,
% right_division(X,
% right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))))))))
% Rule [1095]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y)))))))))))) is composed into 
% [1095]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(V_3,
% right_division(Z,
% right_division(
% right_division(identity,V_3),
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))))
% Rule [1081]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,
% right_division(Z,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(identity,right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(identity,
% right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(identity,
% right_division(right_division(
% right_division(identity,Y),
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z)))))))))))) is composed into 
% [1081]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(identity,right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(identity,
% right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(identity,X)),
% right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))),
% right_division(X,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(X,
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,Z))))))))))))))
% Rule [1075]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(right_division(Y,right_division(identity,Z)),
% right_division(X,right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),Y)))))))))))))) is composed into 
% [1075]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% <->
% right_division(Z,right_division(Y,right_division(right_division(identity,Z),
% right_division(Z,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),Y))))))))))))))))
% Rule [1039]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))),X))) is composed into 
% [1039]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))))))
% <->
% right_division(X,right_division(right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,Z))),
% right_division(right_division(identity,Z),right_division(
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))),X)))))
% Rule [1008]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(identity,right_division(V_3,right_division(identity,
% right_division(Z,right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y)))))))))))) is composed into 
% [1008]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(identity,right_division(V_3,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(V_3,
% right_division(identity,Z)),
% right_division(Z,
% right_division(
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z))),
% right_division(
% right_division(V_3,
% right_division(identity,Z)),
% right_division(identity,Y))))))))))))))
% Rule [988]
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(Y,X),
% right_division(identity,
% right_division(Y,right_division(identity,X))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,right_division(identity,Y)),
% right_division(identity,right_division(right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))) is composed into 
% [988]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(Y,right_division(identity,right_division(right_division(identity,Y),
% right_division(Y,right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))))))
% Rule [973]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(X,
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))))))) is composed into 
% [973]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(X,
% right_division(identity,Y)))))
% ->
% right_division(Y,right_division(X,right_division(right_division(identity,Y),
% right_division(Y,right_division(identity,
% right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))))
% Rule [969]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(right_division(identity,X),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X)))))) is composed into 
% [969]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))
% ->
% right_division(Y,right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Rule [961]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(V_3,right_division(right_division(identity,Z),
% right_division(identity,Y)))))
% <->
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),
% right_division(right_division(X,right_division(identity,Z)),
% right_division(identity,right_division(identity,
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(right_division(identity,Z),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,
% right_division(identity,Y)),
% right_division(identity,V_3)))))))))) is composed into 
% [961]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(V_3,right_division(right_division(identity,Z),
% right_division(identity,Y))))) ->
% right_division(Y,right_division(right_division(identity,Z),right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,V_3))))))))))))))
% Rule [955]
% right_division(right_division(X,Y),right_division(identity,Z)) <->
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(X,right_division(identity,
% right_division(right_division(
% right_division(identity,Y),
% right_division(identity,Z)),
% right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))))) is composed into 
% [955]
% right_division(right_division(X,Y),right_division(identity,Z)) <->
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(X,right_division(Z,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Z),
% right_division(Z,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))))))
% Rule [953]
% right_division(identity,right_division(Y,right_division(right_division(Z,Y),
% right_division(identity,Z))))
% <->
% right_division(identity,right_division(right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(Z,Y))))) is composed into 
% [953]
% right_division(identity,right_division(Y,right_division(right_division(Z,Y),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))),
% right_division(Y,right_division(X,right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(Z,Y)))))))
% Rule [945]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,Z)))))) is composed into 
% [945]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))
% <->
% right_division(right_division(identity,X),right_division(X,right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Z))))))))
% Rule [939]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Z),
% right_division(identity,Y))),
% right_division(identity,V_3)))) <->
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),
% right_division(right_division(X,right_division(identity,Z)),
% right_division(identity,right_division(V_3,
% right_division(identity,
% right_division(right_division(identity,Z),
% right_division(identity,Y)))))))) is composed into 
% [939]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Z),
% right_division(identity,Y))),
% right_division(identity,V_3)))) <->
% right_division(Y,right_division(right_division(identity,Z),right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))))))))
% Rule [920]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,right_division(identity,
% right_division(Y,right_division(identity,Z))))))
% <->
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))))))))) is composed into 
% [920]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Z))))))
% <->
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))))))))))
% Rule [901]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),
% right_division(right_division(X,Y),
% right_division(right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))),
% right_division(right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),
% right_division(identity,Z)))))))) is composed into 
% [901]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))),
% right_division(
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(
% right_division(X,Y),
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))),
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))),
% right_division(identity,Z))))))))))
% Rule [856]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(right_division(identity,X),right_division(identity,
% right_division(right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)))) is composed into 
% [856]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(right_division(identity,X),right_division(Z,right_division(Y,
% right_division(
% right_division(identity,Z),
% right_division(Z,
% right_division(identity,X))))))
% Rule [831]
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,Z)) <->
% right_division(right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))),
% right_division(identity,Z)) is composed into [831]
% right_division(right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,Z))
% <->
% right_division(right_division(X,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))))),
% right_division(identity,Z))
% Rule [824]
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)))) is composed into 
% [824]
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% <->
% right_division(X,right_division(Z,right_division(Y,right_division(right_division(identity,Z),
% right_division(Z,right_division(identity,X))))))
% Rule [820]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,Z)) <->
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(identity,Z)))))))))))))))) is composed into 
% [820]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(identity,Z)) <->
% right_division(right_division(Y,Z),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(identity,X)),
% right_division(identity,Z))))))))))))))))))))
% Rule [686]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) <->
% right_division(identity,right_division(right_division(identity,V_3),
% right_division(right_division(X,right_division(identity,Z)),
% right_division(V_3,right_division(right_division(identity,V_3),
% right_division(identity,
% right_division(V_3,right_division(identity,
% right_division(identity,
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,V_3)))))))))))))) is composed into 
% [686]
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,V_3)) <->
% right_division(identity,right_division(right_division(identity,V_3),right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(V_3,
% right_division(
% right_division(identity,V_3),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(
% right_division(identity,Z),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,V_3))))))))))))))))
% Rule [684]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(V_3,right_division(identity,Y))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))),
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,V_3)))))))) is composed into 
% [684]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(V_3,
% right_division(identity,Y))))))
% <->
% right_division(right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))),
% right_division(right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))),
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,V_3))))))))))
% Rule [670]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(identity,V_3)))) is composed into 
% [670]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(Z,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(identity,V_3))))))
% Rule [566]
% right_division(Z,right_division(identity,X)) <->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,Y),
% right_division(right_division(identity,right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(right_division(identity,X),
% right_division(right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(identity,Z)))))))))) is composed into 
% [566]
% right_division(Z,right_division(identity,X)) <->
% right_division(Y,right_division(identity,right_division(right_division(identity,Y),
% right_division(Y,right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(identity,Z))))))))))))
% Rule [550]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(Y,right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))),
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3)))))) is composed into 
% [550]
% right_division(identity,right_division(Y,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))
% <->
% right_division(right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))),
% right_division(right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(right_division(X,Y),right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))),
% right_division(
% right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,V_3))))))))
% Rule [544]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,V_3)))))) is composed into 
% [544]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(Z,
% right_division(
% right_division(identity,Y),
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,V_3))))))))
% New rule produced :
% [1379]
% right_division(identity,right_division(right_division(Y,right_division(identity,X)),Z))
% ->
% right_division(X,right_division(Y,right_division(right_division(identity,X),
% right_division(X,Z))))
% Rule
% [545]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,V_3))))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))
% collapsed.
% Rule
% [569]
% right_division(identity,right_division(right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y))),
% right_division(identity,right_division(right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(Y,right_division(identity,X))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% collapsed.
% Rule
% [570]
% right_division(identity,right_division(right_division(X,right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [624]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,Z))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% -> X collapsed.
% Rule
% [627]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% -> X collapsed.
% Rule
% [646]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),Z)),
% right_division(Y,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% -> right_division(Z,right_division(identity,Z)) collapsed.
% Rule
% [656]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% -> Z collapsed.
% Rule
% [658]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))
% collapsed.
% Rule
% [664]
% right_division(identity,right_division(V_3,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(identity,V_3)),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(right_division(identity,V_3),right_division(
% right_division(identity,
% right_division(identity,V_3)),
% right_division(identity,
% right_division(
% right_division(identity,V_3),
% right_division(identity,Z))))))))
% collapsed.
% Rule
% [671]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(identity,V_3))))
% <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% collapsed.
% Rule
% [678]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),Z)),
% right_division(identity,right_division(right_division(X,Z),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))))
% -> right_division(Z,right_division(identity,Z)) collapsed.
% Rule
% [692]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,Y))))
% ->
% right_division(Y,right_division(identity,right_division(Z,right_division(identity,Y))))
% collapsed.
% Rule
% [708]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))),right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% -> Z collapsed.
% Rule
% [727]
% right_division(identity,right_division(right_division(Y,right_division(identity,Z)),
% right_division(identity,right_division(X,right_division(X,
% right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% -> X collapsed.
% Rule
% [731]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,Z))),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% -> Y collapsed.
% Rule
% [774]
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(Y,
% right_division(X,Y)))),
% right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,X)))))))
% -> right_division(X,Y) collapsed.
% Rule
% [793]
% right_division(identity,right_division(Z,right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y))))))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(identity,Z)),
% right_division(right_division(X,right_division(identity,Y)),
% right_division(right_division(identity,Z),right_division(
% right_division(identity,
% right_division(identity,Z)),
% right_division(identity,V_3))))))
% collapsed.
% Rule
% [801]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(X,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% ->
% right_division(identity,right_division(right_division(identity,right_division(identity,Y)),
% right_division(right_division(identity,X),right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))
% collapsed.
% Rule
% [823]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)))) <->
% right_division(identity,right_division(X,right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% collapsed.
% Rule
% [830]
% right_division(right_division(identity,right_division(right_division(Y,
% right_division(identity,X)),
% right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))),
% right_division(identity,Z)) <->
% right_division(right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,Z)) collapsed.
% Rule
% [835]
% right_division(identity,right_division(right_division(Y,right_division(X,
% right_division(identity,Y))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [857]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))))))
% collapsed.
% Rule
% [889]
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(Z,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),Z))))))))))))))))))
% <->
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,Z))))))))))))))
% collapsed.
% Rule
% [890]
% right_division(identity,right_division(Z,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,Z))))))))))))))
% <->
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,right_division(
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(Z,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(
% right_division(identity,Y),Z))))))))))))))))))
% collapsed.
% Rule
% [912]
% right_division(identity,right_division(right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(X,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))))))))))))))))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% collapsed.
% Rule
% [915]
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))),
% right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))))))))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [930]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,X)))))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(Y,X))))) ->
% right_division(identity,right_division(X,right_division(right_division(Y,X),
% right_division(identity,Y))))
% collapsed.
% Rule
% [938]
% right_division(identity,right_division(right_division(right_division(identity,Z),
% right_division(identity,Y)),right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))))))
% <->
% right_division(right_division(identity,right_division(Z,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))),
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(identity,Z),
% right_division(identity,Y))),
% right_division(identity,V_3)))) collapsed.
% Rule
% [942]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(Y,right_division(X,right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% ->
% right_division(right_division(identity,Y),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))
% collapsed.
% Rule
% [946]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Z))))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))))
% collapsed.
% Rule
% [952]
% right_division(identity,right_division(right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(Z,Y))))) <->
% right_division(identity,right_division(Y,right_division(right_division(Z,Y),
% right_division(identity,Z))))
% collapsed.
% Rule
% [954]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))),
% right_division(X,right_division(identity,right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))))))
% <-> right_division(right_division(X,Y),right_division(identity,Z)) collapsed.
% Rule
% [972]
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(X,
% right_division(identity,Y)))))
% collapsed.
% Rule
% [974]
% right_division(identity,right_division(right_division(X,right_division(identity,Z)),
% right_division(right_division(X,Y),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% ->
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,Z)))))
% collapsed.
% Rule
% [976]
% right_division(identity,right_division(right_division(identity,right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(
% right_division(identity,Z),
% right_division(identity,Y))))),
% right_division(Z,right_division(identity,right_division(Z,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))))))
% -> Z collapsed.
% Rule
% [982]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,Z))))))
% -> Z collapsed.
% Rule
% [983]
% right_division(right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Z)),
% right_division(identity,right_division(Y,right_division(identity,Y))))))
% -> Y collapsed.
% Rule
% [996]
% right_division(identity,right_division(right_division(right_division(identity,X),
% right_division(identity,Y)),right_division(
% right_division(identity,X),
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),
% right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,X),
% right_division(X,Y))))))))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,Y))))))
% collapsed.
% Rule
% [1007]
% right_division(identity,right_division(V_3,right_division(identity,right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Z)))),
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% collapsed.
% Rule
% [1011]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Z,
% right_division(identity,Z))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))))
% -> Y collapsed.
% Rule
% [1012]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% ->
% right_division(Y,right_division(identity,right_division(Z,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [1022]
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(Y,
% right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))))))))))
% -> right_division(identity,X) collapsed.
% Rule
% [1038]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z))))),X)))
% <->
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,Z)))))))))
% collapsed.
% Rule
% [1070]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [1074]
% right_division(identity,right_division(right_division(Y,right_division(identity,Z)),
% right_division(X,right_division(Z,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(Y,Z),
% right_division(identity,
% right_division(Z,
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(identity,Z),Y))))))))))))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))))
% collapsed.
% Rule
% [1078]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Z)),
% right_division(identity,right_division(Z,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))))),
% right_division(right_division(right_division(identity,Z),right_division(identity,Y)),
% right_division(X,right_division(identity,Z)))) ->
% right_division(X,right_division(identity,Z)) collapsed.
% Rule
% [1088]
% right_division(right_division(Y,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,Z))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(right_division(Z,Y),
% right_division(identity,
% right_division(X,right_division(identity,Y))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [1089]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(Y,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))))))),
% right_division(right_division(Z,Y),right_division(X,right_division(identity,Y))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [1094]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))
% collapsed.
% Rule
% [1096]
% right_division(right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))),
% right_division(identity,right_division(right_division(X,right_division(identity,Z)),
% right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))
% -> right_division(X,right_division(identity,Z)) collapsed.
% Rule
% [1097]
% right_division(right_division(identity,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z))),right_division(identity,
% right_division(
% right_division(X,Z),
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,
% right_division(X,Z)))))))
% -> right_division(X,Z) collapsed.
% Rule
% [1124]
% right_division(identity,right_division(right_division(Z,right_division(identity,V_3)),
% right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(V_3,
% right_division(Z,
% right_division(identity,
% right_division(V_3,
% right_division(identity,
% right_division(Y,
% right_division(identity,V_3))))))))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [1125]
% right_division(identity,right_division(right_division(Z,right_division(identity,V_3)),
% right_division(identity,right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y))))))))))))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [1136]
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))))))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% collapsed.
% Current number of equations to process: 3380
% Current number of ordered equations: 0
% Current number of rules: 711
% New rule produced :
% [1380]
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(Z,X)))))
% <->
% right_division(Z,right_division(X,right_division(right_division(identity,X),Y)))
% Current number of equations to process: 3378
% Current number of ordered equations: 2
% Current number of rules: 712
% Rule [1141]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,Z)))) <->
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(X,Y))))),
% right_division(identity,
% right_division(Z,right_division(identity,Y)))))) is composed into 
% [1141]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,Z))))
% <->
% right_division(right_division(identity,right_division(Y,right_division(X,Y))),
% right_division(Y,right_division(right_division(identity,Y),right_division(identity,
% right_division(Z,
% right_division(identity,Y))))))
% New rule produced :
% [1381]
% right_division(identity,right_division(X,right_division(right_division(identity,
% right_division(X,Y)),Z)))
% ->
% right_division(Y,right_division(X,right_division(right_division(identity,X),Z)))
% Rule
% [1140]
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(X,Y))))),
% right_division(identity,right_division(Z,
% right_division(identity,Y))))))
% <->
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,Z))))
% collapsed.
% Current number of equations to process: 3379
% Current number of ordered equations: 1
% Current number of rules: 712
% Rule [837]
% right_division(identity,right_division(right_division(identity,Y),
% right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))))
% <->
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(
% right_division(Y,
% right_division(Y,
% right_division(identity,X))),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))))) is composed into 
% [837]
% right_division(identity,right_division(right_division(identity,Y),right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% <->
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(Y,
% right_division(Y,
% right_division(identity,X))),Y))))))))
% Rule [739]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X))))) is composed into 
% [739]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(identity,right_division(identity,right_division(Y,right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(identity,X))),Y))))))
% Rule [554]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,X))) ->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))) is composed into 
% [554]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,X),
% right_division(identity,Y)))),
% right_division(identity,right_division(Y,X))) ->
% right_division(identity,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,Y)),X)))))
% New rule produced :
% [1382]
% right_division(Z,right_division(X,right_division(right_division(identity,X),Y)))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(Z,X)))))
% Rule
% [738]
% right_division(identity,right_division(right_division(identity,right_division(Y,
% right_division(identity,X))),
% right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X))))) <->
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Rule
% [838]
% right_division(identity,right_division(right_division(X,Y),right_division(identity,
% right_division(
% right_division(Y,
% right_division(Y,
% right_division(identity,X))),
% right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% collapsed.
% Rule
% [1137]
% right_division(right_division(right_division(identity,Y),right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))),
% right_division(right_division(Y,right_division(Y,right_division(identity,X))),
% right_division(Y,right_division(right_division(identity,Y),right_division(identity,X)))))
% -> right_division(X,Y) collapsed.
% Current number of equations to process: 3382
% Current number of ordered equations: 0
% Current number of rules: 710
% New rule produced :
% [1383]
% right_division(right_division(identity,X),right_division(Y,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% -> Y
% Current number of equations to process: 3380
% Current number of ordered equations: 0
% Current number of rules: 711
% New rule produced :
% [1384]
% right_division(X,right_division(identity,right_division(right_division(Y,Z),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,X))
% Current number of equations to process: 3378
% Current number of ordered equations: 1
% Current number of rules: 712
% New rule produced :
% [1385]
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,X))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,Z),
% right_division(identity,X))))
% Current number of equations to process: 3378
% Current number of ordered equations: 0
% Current number of rules: 713
% New rule produced :
% [1386]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,X)))) <->
% right_division(identity,right_division(right_division(identity,X),right_division(X,Y)))
% Current number of equations to process: 3377
% Current number of ordered equations: 1
% Current number of rules: 714
% New rule produced :
% [1387]
% right_division(identity,right_division(right_division(identity,X),right_division(X,Y)))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,X))))
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 715
% New rule produced :
% [1388]
% right_division(identity,right_division(X,right_division(identity,right_division(X,Y))))
% <->
% right_division(Y,right_division(X,right_division(Z,right_division(X,right_division(identity,Z)))))
% Current number of equations to process: 3376
% Current number of ordered equations: 1
% Current number of rules: 716
% New rule produced :
% [1389]
% right_division(Y,right_division(X,right_division(Z,right_division(X,right_division(identity,Z)))))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(X,Y))))
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 717
% New rule produced :
% [1390]
% right_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% <->
% right_division(right_division(Z,right_division(X,right_division(identity,Z))),Y)
% Current number of equations to process: 3375
% Current number of ordered equations: 1
% Current number of rules: 718
% New rule produced :
% [1391]
% right_division(right_division(Z,right_division(X,right_division(identity,Z))),Y)
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 719
% New rule produced :
% [1392]
% right_division(identity,right_division(right_division(identity,Z),right_division(identity,X)))
% <->
% right_division(right_division(identity,X),right_division(Y,right_division(Z,
% right_division(identity,Y))))
% Current number of equations to process: 3374
% Current number of ordered equations: 1
% Current number of rules: 720
% New rule produced :
% [1393]
% right_division(right_division(identity,X),right_division(Y,right_division(Z,
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(identity,Z),right_division(identity,X)))
% Rule
% [1223]
% right_division(right_division(identity,right_division(X,Y)),right_division(Z,
% right_division(X,
% right_division(identity,Z))))
% -> Y collapsed.
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 720
% New rule produced :
% [1394]
% right_division(right_division(identity,Z),Y) <->
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(Y,right_division(Y,Z)))
% Current number of equations to process: 3373
% Current number of ordered equations: 1
% Current number of rules: 721
% New rule produced :
% [1395]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(Y,right_division(Y,Z))) <->
% right_division(right_division(identity,Z),Y)
% Current number of equations to process: 3373
% Current number of ordered equations: 0
% Current number of rules: 722
% New rule produced :
% [1396]
% right_division(identity,righCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------