TSTP Solution File: GRP200-1 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP200-1 : TPTP v6.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n055.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:22:37 EDT 2014
% Result : Timeout 300.08s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP200-1 : TPTP v6.0.0. Released v2.2.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n055.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 07:29:18 CDT 2014
% % CPUTime : 300.08
% Processing problem /tmp/CiME_26567_n055.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(X,multiply(Y,Z)),X) = multiply(multiply(X,Y),multiply(Z,X));
% ";
%
% 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),c),b) = multiply(a,multiply(b,multiply(c,b)));"
% ;
% (*
% 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(X,multiply(Y,Z)),X) =
% multiply(multiply(X,Y),multiply(Z,X)) }
% (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),c),b) =
% multiply(a,multiply(b,multiply(c,b))) }
% (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(X,multiply(Y,Z)),X) ->
% multiply(multiply(X,Y),multiply(Z,X))
% 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),X) -> multiply(X,multiply(Y,X))
% Rule
% [9]
% multiply(multiply(X,multiply(Y,Z)),X) ->
% multiply(multiply(X,Y),multiply(Z,X)) collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [23]
% multiply(X,multiply(multiply(Y,Z),X)) <->
% multiply(multiply(X,Y),multiply(Z,X))
% Current number of equations to process: 2
% Current number of ordered equations: 4
% Current number of rules: 16
% New rule produced :
% [24]
% multiply(multiply(X,Y),multiply(Z,X)) <->
% multiply(X,multiply(multiply(Y,Z),X))
% Current number of equations to process: 2
% Current number of ordered equations: 3
% Current number of rules: 17
% New rule produced :
% [25] right_division(multiply(X,multiply(Y,X)),X) -> multiply(X,Y)
% Current number of equations to process: 2
% Current number of ordered equations: 2
% Current number of rules: 18
% New rule produced :
% [26] multiply(Y,multiply(left_division(Y,X),Y)) -> multiply(X,Y)
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [27] left_division(multiply(X,Y),multiply(X,multiply(Y,X))) -> X
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [28] multiply(X,right_division(Y,X)) -> right_division(multiply(X,Y),X)
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [29] multiply(left_division(X,Y),X) -> left_division(X,multiply(Y,X))
% Rule [26] multiply(Y,multiply(left_division(Y,X),Y)) -> multiply(X,Y)
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [30] left_division(X,right_division(multiply(X,Y),X)) -> right_division(Y,X)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [31] right_division(left_division(X,multiply(Y,X)),X) -> left_division(X,Y)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 23
% Rule [18] right_inverse(X) -> left_division(X,identity) is composed into
% [18] right_inverse(X) -> right_division(identity,X)
% New rule produced :
% [32] left_division(X,identity) -> right_division(identity,X)
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [33]
% left_division(X,right_division(Y,X)) -> right_division(left_division(X,Y),X)
% Rule
% [30] left_division(X,right_division(multiply(X,Y),X)) -> right_division(Y,X)
% collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [34] left_division(multiply(X,X),X) -> right_division(X,multiply(X,X))
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [35] right_division(identity,right_division(identity,X)) -> X
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [36] right_division(X,right_division(X,multiply(X,X))) -> multiply(X,X)
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [37]
% left_division(right_division(identity,X),X) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [38]
% right_division(X,right_division(X,right_division(identity,X))) ->
% right_division(identity,X)
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [39] right_division(right_division(multiply(X,Y),X),right_division(Y,X)) -> X
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [40] left_division(left_division(X,Y),left_division(X,multiply(Y,X))) -> X
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [41]
% right_division(right_division(X,Y),right_division(left_division(Y,X),Y)) -> Y
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [42]
% right_division(right_division(identity,X),right_division(right_division(identity,X),X))
% -> X
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [43]
% multiply(multiply(X,X),multiply(Y,X)) ->
% multiply(X,multiply(X,multiply(Y,X)))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [44] multiply(multiply(X,X),Y) -> multiply(X,multiply(X,Y))
% Rule
% [43]
% multiply(multiply(X,X),multiply(Y,X)) ->
% multiply(X,multiply(X,multiply(Y,X))) collapsed.
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [45] right_division(multiply(X,multiply(X,Y)),Y) -> multiply(X,X)
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [46] right_division(multiply(X,Y),left_division(X,Y)) <-> multiply(X,X)
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [47] multiply(X,X) <-> right_division(multiply(X,Y),left_division(X,Y))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 37
% Rule [46] right_division(multiply(X,Y),left_division(X,Y)) <-> multiply(X,X) is composed into
% [46]
% right_division(multiply(X,Y),left_division(X,Y)) ->
% right_division(X,right_division(identity,X))
% Rule [45] right_division(multiply(X,multiply(X,Y)),Y) -> multiply(X,X) is composed into
% [45]
% right_division(multiply(X,multiply(X,Y)),Y) ->
% right_division(X,right_division(identity,X))
% New rule produced :
% [48] multiply(X,X) -> right_division(X,right_division(identity,X))
% Rule [34] left_division(multiply(X,X),X) -> right_division(X,multiply(X,X))
% collapsed.
% Rule [36] right_division(X,right_division(X,multiply(X,X))) -> multiply(X,X)
% collapsed.
% Rule [44] multiply(multiply(X,X),Y) -> multiply(X,multiply(X,Y)) collapsed.
% Rule [47] multiply(X,X) <-> right_division(multiply(X,Y),left_division(X,Y))
% collapsed.
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [49] right_division(right_division(X,right_division(identity,X)),X) -> X
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [50] left_division(X,right_division(X,right_division(identity,X))) -> X
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [51]
% multiply(right_division(X,right_division(identity,X)),Y) ->
% multiply(X,multiply(X,Y))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [52]
% left_division(right_division(X,right_division(identity,X)),multiply(X,
% multiply(X,Y))) ->
% Y
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [53]
% multiply(Y,multiply(Y,left_division(right_division(Y,right_division(identity,Y)),X)))
% -> X
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [54]
% right_division(X,left_division(Y,left_division(Y,X))) ->
% right_division(Y,right_division(identity,Y))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [55]
% left_division(right_division(X,right_division(identity,X)),Y) ->
% left_division(X,left_division(X,Y))
% Rule
% [52]
% left_division(right_division(X,right_division(identity,X)),multiply(X,
% multiply(X,Y))) ->
% Y collapsed.
% Rule
% [53]
% multiply(Y,multiply(Y,left_division(right_division(Y,right_division(identity,Y)),X)))
% -> X collapsed.
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [56]
% right_division(identity,right_division(right_division(identity,X),X)) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [57]
% right_division(right_division(identity,X),X) ->
% right_division(identity,right_division(X,right_division(identity,X)))
% Rule
% [42]
% right_division(right_division(identity,X),right_division(right_division(identity,X),X))
% -> X collapsed.
% Rule
% [56]
% right_division(identity,right_division(right_division(identity,X),X)) ->
% right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [58]
% 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: 224
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [59]
% multiply(multiply(X,Y),multiply(Y,X)) ->
% multiply(X,multiply(Y,multiply(Y,X)))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [60]
% right_division(multiply(right_division(X,Y),X),Y) ->
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [61]
% 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: 269
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [62]
% 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: 273
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [63]
% multiply(right_division(identity,right_division(X,right_division(identity,X))),X)
% -> right_division(identity,X)
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [64]
% multiply(X,right_division(identity,right_division(X,right_division(identity,X))))
% -> right_division(identity,X)
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [65]
% multiply(right_division(multiply(X,Y),X),Y) ->
% multiply(X,multiply(right_division(Y,X),Y))
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [66]
% multiply(left_division(X,multiply(Y,X)),Y) ->
% multiply(left_division(X,Y),multiply(X,Y))
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [67]
% multiply(right_division(X,Y),right_division(multiply(Y,X),Y)) ->
% multiply(X,right_division(X,Y))
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [68]
% multiply(multiply(X,right_division(Y,Z)),multiply(Z,X)) ->
% multiply(X,multiply(Y,X))
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [69]
% left_division(X,multiply(multiply(X,Y),multiply(Z,X))) <->
% multiply(multiply(Y,Z),X)
% Current number of equations to process: 435
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [70]
% multiply(multiply(Y,Z),X) <->
% left_division(X,multiply(multiply(X,Y),multiply(Z,X)))
% The conjecture has been reduced.
% Conjecture is now:
% multiply(left_division(c,multiply(multiply(c,a),multiply(b,c))),b) =
% multiply(a,multiply(b,multiply(c,b)))
%
% Current number of equations to process: 435
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [71]
% left_division(X,multiply(multiply(X,Y),Z)) <->
% multiply(multiply(Y,right_division(Z,X)),X)
% Current number of equations to process: 447
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [72]
% multiply(multiply(Y,right_division(Z,X)),X) <->
% left_division(X,multiply(multiply(X,Y),Z))
% Current number of equations to process: 447
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [73] multiply(multiply(X,right_division(identity,Y)),Y) -> X
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [74] multiply(multiply(X,Y),right_division(identity,Y)) -> X
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [75]
% right_division(multiply(multiply(X,Y),Z),X) ->
% multiply(X,multiply(Y,right_division(Z,X)))
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [76] 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 [22] multiply(multiply(X,Y),X) -> multiply(X,multiply(Y,X)) collapsed.
% Rule
% [23]
% multiply(X,multiply(multiply(Y,Z),X)) <->
% multiply(multiply(X,Y),multiply(Z,X)) collapsed.
% Rule
% [24]
% multiply(multiply(X,Y),multiply(Z,X)) <->
% multiply(X,multiply(multiply(Y,Z),X)) collapsed.
% Rule [25] right_division(multiply(X,multiply(Y,X)),X) -> multiply(X,Y)
% collapsed.
% Rule [27] left_division(multiply(X,Y),multiply(X,multiply(Y,X))) -> X
% collapsed.
% Rule [28] multiply(X,right_division(Y,X)) -> right_division(multiply(X,Y),X)
% collapsed.
% Rule [29] multiply(left_division(X,Y),X) -> left_division(X,multiply(Y,X))
% collapsed.
% Rule
% [31] right_division(left_division(X,multiply(Y,X)),X) -> left_division(X,Y)
% collapsed.
% Rule
% [39] right_division(right_division(multiply(X,Y),X),right_division(Y,X)) -> X
% collapsed.
% Rule
% [40] left_division(left_division(X,Y),left_division(X,multiply(Y,X))) -> X
% collapsed.
% Rule
% [45]
% right_division(multiply(X,multiply(X,Y)),Y) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule
% [46]
% right_division(multiply(X,Y),left_division(X,Y)) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule [48] multiply(X,X) -> right_division(X,right_division(identity,X))
% collapsed.
% Rule
% [51]
% multiply(right_division(X,right_division(identity,X)),Y) ->
% multiply(X,multiply(X,Y)) collapsed.
% Rule
% [59]
% multiply(multiply(X,Y),multiply(Y,X)) ->
% multiply(X,multiply(Y,multiply(Y,X))) collapsed.
% Rule
% [60]
% right_division(multiply(right_division(X,Y),X),Y) ->
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% collapsed.
% Rule
% [63]
% multiply(right_division(identity,right_division(X,right_division(identity,X))),X)
% -> right_division(identity,X) collapsed.
% Rule
% [64]
% multiply(X,right_division(identity,right_division(X,right_division(identity,X))))
% -> right_division(identity,X) collapsed.
% Rule
% [65]
% multiply(right_division(multiply(X,Y),X),Y) ->
% multiply(X,multiply(right_division(Y,X),Y)) collapsed.
% Rule
% [66]
% multiply(left_division(X,multiply(Y,X)),Y) ->
% multiply(left_division(X,Y),multiply(X,Y)) collapsed.
% Rule
% [67]
% multiply(right_division(X,Y),right_division(multiply(Y,X),Y)) ->
% multiply(X,right_division(X,Y)) collapsed.
% Rule
% [68]
% multiply(multiply(X,right_division(Y,Z)),multiply(Z,X)) ->
% multiply(X,multiply(Y,X)) collapsed.
% Rule
% [69]
% left_division(X,multiply(multiply(X,Y),multiply(Z,X))) <->
% multiply(multiply(Y,Z),X) collapsed.
% Rule
% [70]
% multiply(multiply(Y,Z),X) <->
% left_division(X,multiply(multiply(X,Y),multiply(Z,X))) collapsed.
% Rule
% [71]
% left_division(X,multiply(multiply(X,Y),Z)) <->
% multiply(multiply(Y,right_division(Z,X)),X) collapsed.
% Rule
% [72]
% multiply(multiply(Y,right_division(Z,X)),X) <->
% left_division(X,multiply(multiply(X,Y),Z)) collapsed.
% Rule [73] multiply(multiply(X,right_division(identity,Y)),Y) -> X collapsed.
% Rule [74] multiply(multiply(X,Y),right_division(identity,Y)) -> X collapsed.
% Rule
% [75]
% right_division(multiply(multiply(X,Y),Z),X) ->
% multiply(X,multiply(Y,right_division(Z,X))) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% right_division(left_division(c,right_division(right_division(c,right_division(identity,a)),
% right_division(identity,right_division(b,
% right_division(identity,c))))),
% right_division(identity,b)) = right_division(a,right_division(identity,
% right_division(b,right_division(identity,
% right_division(c,
% right_division(identity,b))))))
%
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [77] right_division(X,right_division(identity,left_division(X,Y))) -> Y
% Current number of equations to process: 601
% Current number of ordered equations: 4
% Current number of rules: 24
% New rule produced :
% [78] left_division(X,right_division(X,right_division(identity,Y))) -> Y
% Rule [50] left_division(X,right_division(X,right_division(identity,X))) -> X
% collapsed.
% Current number of equations to process: 601
% Current number of ordered equations: 3
% Current number of rules: 24
% New rule produced :
% [79] right_division(right_division(X,right_division(identity,Y)),Y) -> X
% Rule [49] right_division(right_division(X,right_division(identity,X)),X) -> X
% collapsed.
% Current number of equations to process: 601
% Current number of ordered equations: 2
% Current number of rules: 24
% New rule produced :
% [80]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,X))))
% Current number of equations to process: 230
% Current number of ordered equations: 418
% Current number of rules: 25
% New rule produced :
% [81]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,X))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X))))
% The conjecture has been reduced.
% Conjecture is now:
% right_division(right_division(right_division(a,right_division(identity,b)),
% right_division(identity,c)),right_division(identity,b)) =
% right_division(a,right_division(identity,right_division(b,right_division(identity,
% right_division(c,
% right_division(identity,b))))))
%
% Current number of equations to process: 239
% Current number of ordered equations: 406
% Current number of rules: 26
% New rule produced :
% [82] right_division(identity,left_division(Y,X)) <-> left_division(X,Y)
% Current number of equations to process: 239
% Current number of ordered equations: 405
% Current number of rules: 27
% New rule produced :
% [83] left_division(X,Y) <-> right_division(identity,left_division(Y,X))
% Rule [21] left_division(right_division(X,Y),X) -> Y collapsed.
% Rule
% [37]
% left_division(right_division(identity,X),X) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule
% [58]
% 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: 271
% Current number of ordered equations: 357
% Current number of rules: 25
% New rule produced :
% [84] left_division(X,right_division(X,Y)) -> right_division(identity,Y)
% Rule [78] left_division(X,right_division(X,right_division(identity,Y))) -> Y
% collapsed.
% Current number of equations to process: 271
% Current number of ordered equations: 353
% Current number of rules: 25
% New rule produced :
% [85] right_division(right_division(X,Y),right_division(identity,Y)) -> X
% Current number of equations to process: 270
% Current number of ordered equations: 352
% Current number of rules: 26
% New rule produced :
% [86]
% 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: 327
% Current number of ordered equations: 267
% Current number of rules: 27
% New rule produced :
% [87]
% 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: 358
% Current number of ordered equations: 213
% Current number of rules: 28
% New rule produced :
% [88]
% right_division(X,right_division(identity,right_division(left_division(X,Y),X)))
% -> right_division(Y,X)
% Current number of equations to process: 358
% Current number of ordered equations: 212
% Current number of rules: 29
% New rule produced :
% [89]
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(
% left_division(Z,Y),
% right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 358
% Current number of ordered equations: 208
% Current number of rules: 30
% New rule produced :
% [90]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,X))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% Current number of equations to process: 358
% Current number of ordered equations: 206
% Current number of rules: 31
% New rule produced :
% [91]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,X))),
% right_division(identity,X))))
% The conjecture has been reduced.
% Conjecture is now:
% right_division(right_division(a,right_division(identity,b)),right_division(identity,
% right_division(
% right_division(c,
% right_division(identity,
% right_division(b,
% right_division(a,
% right_division(identity,b))))),
% right_division(identity,
% right_division(a,
% right_division(identity,b)))))) =
% right_division(a,right_division(identity,right_division(b,right_division(identity,
% right_division(c,
% right_division(identity,b))))))
%
% Current number of equations to process: 358
% Current number of ordered equations: 204
% Current number of rules: 32
% New rule produced :
% [92]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),X)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Z))))
% Current number of equations to process: 358
% Current number of ordered equations: 201
% Current number of rules: 33
% New rule produced :
% [93]
% 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))
% Current number of equations to process: 356
% Current number of ordered equations: 201
% Current number of rules: 34
% New rule produced :
% [94]
% 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: 354
% Current number of ordered equations: 202
% Current number of rules: 35
% New rule produced :
% [95]
% 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: 354
% Current number of ordered equations: 201
% Current number of rules: 36
% New rule produced :
% [96]
% right_division(right_division(identity,X),right_division(identity,right_division(X,
% right_division(identity,X))))
% -> X
% Current number of equations to process: 352
% Current number of ordered equations: 199
% Current number of rules: 37
% New rule produced :
% [97]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),X)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 350
% Current number of ordered equations: 199
% Current number of rules: 38
% New rule produced :
% [98]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(Y,right_division(identity,X))))),X)
% -> left_division(X,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 350
% Current number of ordered equations: 195
% Current number of rules: 39
% New rule produced :
% [99]
% right_division(right_division(X,right_division(identity,Y)),left_division(X,Y))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 350
% Current number of ordered equations: 193
% Current number of rules: 40
% New rule produced :
% [100]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,Y)))),Y)
% -> right_division(X,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 348
% Current number of ordered equations: 193
% Current number of rules: 41
% New rule produced :
% [101]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(X,right_division(identity,Y)))),Y)
% -> right_division(left_division(X,Y),right_division(identity,X))
% Current number of equations to process: 347
% Current number of ordered equations: 193
% Current number of rules: 42
% New rule produced :
% [102]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 346
% Current number of ordered equations: 192
% Current number of rules: 43
% New rule produced :
% [103]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(Z,X)))),
% right_division(identity,Z)) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 346
% Current number of ordered equations: 190
% Current number of rules: 44
% New rule produced :
% [104]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(Z,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(Y,Z)))
% Current number of equations to process: 346
% Current number of ordered equations: 188
% Current number of rules: 45
% New rule produced :
% [105]
% right_division(left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z))),X) ->
% right_division(Y,right_division(identity,right_division(Z,X)))
% Current number of equations to process: 346
% Current number of ordered equations: 186
% Current number of rules: 46
% New rule produced :
% [106]
% 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: 346
% Current number of ordered equations: 185
% Current number of rules: 47
% New rule produced :
% [107]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)))))
% -> right_division(Z,right_division(identity,X))
% Current number of equations to process: 346
% Current number of ordered equations: 184
% Current number of rules: 48
% New rule produced :
% [108]
% left_division(X,right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(X,Y))))))
% -> right_division(X,Y)
% Current number of equations to process: 345
% Current number of ordered equations: 184
% Current number of rules: 49
% New rule produced :
% [109]
% right_division(identity,left_division(right_division(left_division(X,Y),
% right_division(identity,Y)),right_division(
% left_division(X,Y),
% right_division(identity,X))))
% -> left_division(X,Y)
% Current number of equations to process: 344
% Current number of ordered equations: 184
% Current number of rules: 50
% New rule produced :
% [110]
% 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: 344
% Current number of ordered equations: 183
% Current number of rules: 51
% New rule produced :
% [111]
% left_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,left_division(Y,left_division(X,Y)))) ->
% left_division(X,Y)
% Current number of equations to process: 343
% Current number of ordered equations: 183
% Current number of rules: 52
% New rule produced :
% [112]
% 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: 342
% Current number of ordered equations: 183
% Current number of rules: 53
% New rule produced :
% [113]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,X))))),
% right_division(Y,X)) -> right_division(X,right_division(identity,X))
% Current number of equations to process: 341
% Current number of ordered equations: 183
% Current number of rules: 54
% New rule produced :
% [114]
% right_division(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(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 341
% Current number of ordered equations: 182
% Current number of rules: 55
% New rule produced :
% [115]
% right_division(right_division(identity,right_division(X,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))))
% Rule
% [61]
% 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: 342
% Current number of ordered equations: 178
% Current number of rules: 55
% New rule produced :
% [116]
% left_division(right_division(identity,right_division(X,right_division(identity,X))),Y)
% ->
% left_division(right_division(identity,X),left_division(right_division(identity,X),Y))
% Current number of equations to process: 342
% Current number of ordered equations: 175
% Current number of rules: 56
% New rule produced :
% [117]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(Y,right_division(identity,X))) ->
% right_division(X,right_division(identity,Y))
% Current number of equations to process: 342
% Current number of ordered equations: 174
% Current number of rules: 57
% New rule produced :
% [118]
% 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,X)))))))
% -> right_division(Y,right_division(identity,X))
% Current number of equations to process: 342
% Current number of ordered equations: 173
% Current number of rules: 58
% New rule produced :
% [119]
% 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: 341
% Current number of ordered equations: 173
% Current number of rules: 59
% New rule produced :
% [120]
% right_division(X,right_division(identity,right_division(left_division(X,Y),
% right_division(identity,X)))) ->
% right_division(Y,right_division(identity,X))
% Current number of equations to process: 340
% Current number of ordered equations: 172
% Current number of rules: 60
% New rule produced :
% [121]
% left_division(right_division(X,right_division(identity,right_division(Y,Z))),
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X)))))
% -> right_division(Z,right_division(identity,X))
% Current number of equations to process: 340
% Current number of ordered equations: 171
% Current number of rules: 61
% New rule produced :
% [122]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% -> right_division(X,right_division(identity,Y))
% Rule
% [96]
% right_division(right_division(identity,X),right_division(identity,right_division(X,
% right_division(identity,X))))
% -> X collapsed.
% Current number of equations to process: 340
% Current number of ordered equations: 169
% Current number of rules: 61
% New rule produced :
% [123]
% 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
% [93]
% 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.
% Current number of equations to process: 340
% Current number of ordered equations: 168
% Current number of rules: 61
% New rule produced :
% [124]
% 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(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: 340
% Current number of ordered equations: 167
% Current number of rules: 62
% New rule produced :
% [125]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(right_division(Y,right_division(identity,Z)),right_division(identity,X)))
% -> X
% Current number of equations to process: 340
% Current number of ordered equations: 165
% Current number of rules: 63
% New rule produced :
% [126]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 340
% Current number of ordered equations: 163
% Current number of rules: 64
% New rule produced :
% [127]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)),
% right_division(identity,X)))) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(identity,X))
% Current number of equations to process: 340
% Current number of ordered equations: 162
% Current number of rules: 65
% New rule produced :
% [128]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(identity,X)) <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)),
% right_division(identity,X))))
% Current number of equations to process: 340
% Current number of ordered equations: 161
% Current number of rules: 66
% New rule produced :
% [129]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(Y,right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,X))))
% Current number of equations to process: 340
% Current number of ordered equations: 159
% Current number of rules: 67
% New rule produced :
% [130]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))),
% right_division(identity,X)))) <->
% right_division(right_division(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: 340
% Current number of ordered equations: 158
% Current number of rules: 68
% New rule produced :
% [131]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))),
% right_division(identity,X))))
% Current number of equations to process: 340
% Current number of ordered equations: 157
% Current number of rules: 69
% New rule produced :
% [132]
% 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,X)))))))
% -> X
% Current number of equations to process: 340
% Current number of ordered equations: 156
% Current number of rules: 70
% New rule produced :
% [133]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% 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: 340
% Current number of ordered equations: 154
% Current number of rules: 71
% New rule produced :
% [134]
% left_division(X,right_division(identity,right_division(X,right_division(identity,X))))
% ->
% right_division(right_division(identity,X),right_division(X,right_division(identity,X)))
% Current number of equations to process: 343
% Current number of ordered equations: 150
% Current number of rules: 72
% New rule produced :
% [135]
% right_division(right_division(right_division(X,Y),Y),right_division(right_division(
% left_division(Y,X),Y),Y))
% -> Y
% Current number of equations to process: 343
% Current number of ordered equations: 149
% Current number of rules: 73
% New rule produced :
% [136]
% 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))))
% Rule
% [114]
% right_division(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(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Current number of equations to process: 343
% Current number of ordered equations: 147
% Current number of rules: 73
% New rule produced :
% [137]
% right_division(right_division(X,right_division(identity,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,
% right_division(X,
% right_division(identity,Y))))))))
% Current number of equations to process: 343
% Current number of ordered equations: 146
% Current number of rules: 74
% New rule produced :
% [138]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),Y)
% -> right_division(X,right_division(identity,X))
% Rule
% [97]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))),X)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% collapsed.
% Rule
% [113]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,X))))),
% right_division(Y,X)) -> right_division(X,right_division(identity,X))
% collapsed.
% Current number of equations to process: 343
% Current number of ordered equations: 145
% Current number of rules: 73
% New rule produced :
% [139]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,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,
% right_division(X,
% right_division(identity,X))))))))
% Current number of equations to process: 343
% Current number of ordered equations: 143
% Current number of rules: 74
% New rule produced :
% [140]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(identity,X))))
% Current number of equations to process: 343
% Current number of ordered equations: 140
% Current number of rules: 75
% New rule produced :
% [141]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,X))))
% Current number of equations to process: 343
% Current number of ordered equations: 137
% Current number of rules: 76
% New rule produced :
% [142]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Z)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% Current number of equations to process: 343
% Current number of ordered equations: 135
% Current number of rules: 77
% New rule produced :
% [143]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Z)))),
% right_division(identity,X))))
% Current number of equations to process: 343
% Current number of ordered equations: 133
% Current number of rules: 78
% New rule produced :
% [144]
% 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: 343
% Current number of ordered equations: 131
% Current number of rules: 79
% New rule produced :
% [145]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,X))) ->
% right_division(X,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: 343
% Current number of ordered equations: 127
% Current number of rules: 80
% New rule produced :
% [146]
% left_division(left_division(X,right_division(Y,right_division(identity,Y))),
% left_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X))))))
% -> X
% Current number of equations to process: 343
% Current number of ordered equations: 125
% Current number of rules: 81
% New rule produced :
% [147]
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Y)
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% Current number of equations to process: 343
% Current number of ordered equations: 124
% Current number of rules: 82
% New rule produced :
% [148]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(left_division(X,Y),X)) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 341
% Current number of ordered equations: 124
% Current number of rules: 83
% New rule produced :
% [149]
% right_division(right_division(X,Y),right_division(left_division(Y,left_division(Y,X)),Y))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 341
% Current number of ordered equations: 123
% Current number of rules: 84
% New rule produced :
% [150]
% right_division(right_division(identity,right_division(X,right_division(identity,X))),X)
% ->
% right_division(right_division(identity,X),right_division(X,right_division(identity,X)))
% Current number of equations to process: 341
% Current number of ordered equations: 121
% Current number of rules: 85
% New rule produced :
% [151]
% left_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,Y))))) -> Y
% Current number of equations to process: 337
% Current number of ordered equations: 121
% Current number of rules: 86
% New rule produced :
% [152]
% 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,Y)))))
% -> Y
% Current number of equations to process: 336
% Current number of ordered equations: 121
% Current number of rules: 87
% New rule produced :
% [153]
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(Y,X))) ->
% right_division(left_division(X,Y),right_division(identity,right_division(
% left_division(X,Y),X)))
% Current number of equations to process: 336
% Current number of ordered equations: 120
% Current number of rules: 88
% New rule produced :
% [154]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Z,X))),
% right_division(identity,Y)) ->
% right_division(left_division(X,Y),right_division(identity,right_division(Z,
% right_division(identity,
% left_division(X,Y)))))
% Current number of equations to process: 336
% Current number of ordered equations: 119
% Current number of rules: 89
% New rule produced :
% [155]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 335
% Current number of ordered equations: 119
% Current number of rules: 90
% New rule produced :
% [156]
% left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,X)))))
% ->
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,X))
% Current number of equations to process: 335
% Current number of ordered equations: 117
% Current number of rules: 91
% New rule produced :
% [157]
% left_division(right_division(X,right_division(identity,Y)),left_division(Z,
% right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% -> Z
% Current number of equations to process: 335
% Current number of ordered equations: 116
% Current number of rules: 92
% New rule produced :
% [158]
% right_division(right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),X),right_division(Y,
% right_division(identity,
% right_division(Z,X))))
% -> X
% Current number of equations to process: 335
% Current number of ordered equations: 115
% Current number of rules: 93
% New rule produced :
% [159]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(right_division(Y,
% right_division(identity,
% right_division(Z,X))),
% right_division(identity,X))) -> X
% Current number of equations to process: 335
% Current number of ordered equations: 114
% Current number of rules: 94
% New rule produced :
% [160]
% left_division(right_division(X,right_division(identity,right_division(Y,Z))),
% left_division(Z,right_division(right_division(Z,right_division(identity,X)),
% right_division(identity,Y)))) -> Z
% Current number of equations to process: 335
% Current number of ordered equations: 113
% Current number of rules: 95
% New rule produced :
% [161]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,X))))),
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z)))
% -> X
% Current number of equations to process: 335
% Current number of ordered equations: 112
% Current number of rules: 96
% New rule produced :
% [162]
% left_division(X,left_division(Y,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,Z)))) ->
% right_division(right_division(right_division(Z,Y),right_division(identity,
% right_division(Y,X))),
% right_division(identity,X))
% Current number of equations to process: 335
% Current number of ordered equations: 108
% Current number of rules: 97
% New rule produced :
% [163]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% -> right_division(X,right_division(identity,X))
% Rule
% [102]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(identity,X))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 339
% Current number of ordered equations: 108
% Current number of rules: 97
% New rule produced :
% [164]
% right_division(right_division(X,Z),right_division(identity,right_division(
% right_division(Z,
% right_division(identity,Y)),
% right_division(identity,
% right_division(X,Z)))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,Z)))))
% Current number of equations to process: 339
% Current number of ordered equations: 107
% Current number of rules: 98
% New rule produced :
% [165]
% right_division(left_division(X,Y),right_division(identity,right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,
% left_division(X,Y)))))
% <->
% right_division(right_division(left_division(X,Y),right_division(identity,Z)),
% right_division(identity,Y))
% Current number of equations to process: 339
% Current number of ordered equations: 106
% Current number of rules: 99
% New rule produced :
% [166]
% right_division(right_division(left_division(X,Y),right_division(identity,Z)),
% right_division(identity,Y)) <->
% right_division(left_division(X,Y),right_division(identity,right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,
% left_division(X,Y)))))
% Current number of equations to process: 339
% Current number of ordered equations: 105
% Current number of rules: 100
% New rule produced :
% [167]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),X)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,Y))))
% Current number of equations to process: 338
% Current number of ordered equations: 102
% Current number of rules: 101
% New rule produced :
% [168]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% 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(X,
% right_division(identity,X))))))
% Current number of equations to process: 338
% Current number of ordered equations: 101
% Current number of rules: 102
% New rule produced :
% [169]
% 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,Y)))))
% Current number of equations to process: 337
% Current number of ordered equations: 101
% Current number of rules: 103
% New rule produced :
% [170]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,right_division(
% left_division(Y,X),
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,Y))))
% Current number of equations to process: 336
% Current number of ordered equations: 101
% Current number of rules: 104
% New rule produced :
% [171]
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(Y,
% right_division(X,Y)),
% right_division(identity,Y))))
% <->
% right_division(right_division(X,right_division(X,Y)),right_division(identity,Y))
% Current number of equations to process: 335
% Current number of ordered equations: 100
% Current number of rules: 105
% New rule produced :
% [172]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,Y))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(Y,
% right_division(X,Y)),
% right_division(identity,Y))))
% Current number of equations to process: 335
% Current number of ordered equations: 99
% Current number of rules: 106
% New rule produced :
% [173]
% right_division(Y,right_division(identity,right_division(right_division(
% left_division(Y,X),Y),
% right_division(identity,left_division(Y,X)))))
% ->
% right_division(right_division(X,Y),right_division(identity,left_division(Y,X)))
% Current number of equations to process: 335
% Current number of ordered equations: 98
% Current number of rules: 107
% New rule produced :
% [174]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(right_division(X,Y),
% right_division(identity,X))))),X)
% ->
% left_division(X,right_division(Y,right_division(identity,right_division(X,Y))))
% Current number of equations to process: 333
% Current number of ordered equations: 98
% Current number of rules: 108
% New rule produced :
% [175]
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,X)))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,X)))
% Current number of equations to process: 331
% Current number of ordered equations: 98
% Current number of rules: 109
% New rule produced :
% [176]
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,right_division(left_division(X,Y),right_division(identity,X))))
% <->
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% right_division(identity,X))
% Current number of equations to process: 328
% Current number of ordered equations: 99
% Current number of rules: 110
% New rule produced :
% [177]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% right_division(identity,X)) <->
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,right_division(left_division(X,Y),right_division(identity,X))))
% Current number of equations to process: 328
% Current number of ordered equations: 98
% Current number of rules: 111
% New rule produced :
% [178]
% right_division(right_division(identity,right_division(left_division(Y,X),Y)),
% right_division(identity,right_division(right_division(right_division(X,Y),
% right_division(identity,right_division(X,Y))),
% right_division(left_division(Y,X),Y)))) ->
% right_division(right_division(identity,right_division(left_division(Y,X),Y)),
% right_division(identity,X))
% Current number of equations to process: 327
% Current number of ordered equations: 98
% Current number of rules: 112
% New rule produced :
% [179]
% right_division(left_division(X,right_division(left_division(Y,X),right_division(identity,
% right_division(Y,
% right_division(identity,X))))),X)
% ->
% left_division(X,right_division(left_division(Y,X),right_division(identity,Y)))
% Current number of equations to process: 326
% Current number of ordered equations: 98
% Current number of rules: 113
% New rule produced :
% [180]
% 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: 326
% Current number of ordered equations: 97
% Current number of rules: 114
% New rule produced :
% [181]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(
% left_division(Y,Z),Y),
% right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(right_division(Z,Y),
% right_division(identity,X))))
% Current number of equations to process: 325
% Current number of ordered equations: 96
% Current number of rules: 115
% New rule produced :
% [182]
% left_division(right_division(X,Y),right_division(X,right_division(identity,
% right_division(Z,right_division(identity,
% right_division(X,Y))))))
% ->
% right_division(right_division(Y,right_division(identity,Z)),right_division(identity,
% right_division(X,Y)))
% Current number of equations to process: 325
% Current number of ordered equations: 95
% Current number of rules: 116
% New rule produced :
% [183]
% left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(left_division(X,Z),
% right_division(identity,X))))) ->
% right_division(right_division(Y,right_division(identity,left_division(X,Z))),
% right_division(identity,X))
% Current number of equations to process: 324
% Current number of ordered equations: 95
% Current number of rules: 117
% New rule produced :
% [184]
% left_division(X,right_division(right_division(X,right_division(identity,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,right_division(X,
% right_division(identity,Z)))),
% right_division(identity,X))
% Current number of equations to process: 324
% Current number of ordered equations: 93
% Current number of rules: 118
% New rule produced :
% [185]
% left_division(Z,right_division(right_division(Z,right_division(identity,
% left_division(X,Y))),
% 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: 322
% Current number of ordered equations: 93
% Current number of rules: 119
% New rule produced :
% [186]
% left_division(Z,right_division(right_division(Z,right_division(identity,
% right_division(X,right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(identity,Z)))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z))
% Current number of equations to process: 322
% Current number of ordered equations: 92
% Current number of rules: 120
% New rule produced :
% [187]
% left_division(Z,right_division(right_division(Z,right_division(identity,X)),
% 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: 321
% Current number of ordered equations: 92
% Current number of rules: 121
% New rule produced :
% [188]
% left_division(right_division(X,Y),right_division(X,right_division(identity,Z)))
% ->
% right_division(right_division(Y,right_division(identity,right_division(Z,
% right_division(X,Y)))),
% right_division(identity,right_division(X,Y)))
% Rule
% [107]
% left_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)))))
% -> right_division(Z,right_division(identity,X)) collapsed.
% Rule
% [109]
% right_division(identity,left_division(right_division(left_division(X,Y),
% right_division(identity,Y)),right_division(
% left_division(X,Y),
% right_division(identity,X))))
% -> left_division(X,Y) collapsed.
% Rule
% [118]
% 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,X)))))))
% -> right_division(Y,right_division(identity,X)) collapsed.
% Rule
% [121]
% left_division(right_division(X,right_division(identity,right_division(Y,Z))),
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X)))))
% -> right_division(Z,right_division(identity,X)) collapsed.
% Rule
% [132]
% 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,X)))))))
% -> X collapsed.
% Rule
% [144]
% 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
% [151]
% left_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,Y))))) -> Y
% collapsed.
% Rule
% [152]
% 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,Y)))))
% -> Y collapsed.
% Rule
% [182]
% left_division(right_division(X,Y),right_division(X,right_division(identity,
% right_division(Z,right_division(identity,
% right_division(X,Y))))))
% ->
% right_division(right_division(Y,right_division(identity,Z)),right_division(identity,
% right_division(X,Y)))
% collapsed.
% Current number of equations to process: 331
% Current number of ordered equations: 89
% Current number of rules: 113
% New rule produced :
% [189]
% right_division(left_division(X,left_division(X,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z)))),X)
% ->
% left_division(X,right_division(Y,right_division(identity,right_division(Z,X))))
% Current number of equations to process: 330
% Current number of ordered equations: 87
% Current number of rules: 114
% New rule produced :
% [190]
% left_division(Y,right_division(right_division(Y,right_division(identity,
% right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,X)))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 329
% Current number of ordered equations: 87
% Current number of rules: 115
% New rule produced :
% [191]
% right_division(right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(X,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(identity,Y)))) -> X
% Current number of equations to process: 328
% Current number of ordered equations: 87
% Current number of rules: 116
% New rule produced :
% [192]
% right_division(identity,right_division(right_division(identity,X),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: 325
% Current number of ordered equations: 87
% Current number of rules: 117
% New rule produced :
% [193]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Y)) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,Y))))
% Current number of equations to process: 325
% Current number of ordered equations: 85
% Current number of rules: 118
% New rule produced :
% [194]
% right_division(right_division(identity,left_division(right_division(X,
% right_division(identity,Y)),
% left_division(X,Y))),left_division(X,Y))
% ->
% right_division(identity,left_division(X,left_division(X,left_division(X,Y))))
% Current number of equations to process: 322
% Current number of ordered equations: 85
% Current number of rules: 119
% New rule produced :
% [195]
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,left_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: 320
% Current number of ordered equations: 85
% Current number of rules: 120
% New rule produced :
% [196]
% left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(Y,X)))) ->
% right_division(left_division(X,right_division(right_division(Y,X),right_division(identity,Y))),X)
% Current number of equations to process: 320
% Current number of ordered equations: 84
% Current number of rules: 121
% New rule produced :
% [197]
% right_division(right_division(identity,X),right_division(right_division(identity,X),
% right_division(X,right_division(identity,X))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 317
% Current number of ordered equations: 83
% Current number of rules: 122
% New rule produced :
% [198]
% right_division(right_division(X,right_division(identity,right_division(Y,
% left_division(X,Z)))),
% right_division(identity,right_division(left_division(X,Z),right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 316
% Current number of ordered equations: 83
% Current number of rules: 123
% New rule produced :
% [199]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(X,
% 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,X))))
% Current number of equations to process: 316
% Current number of ordered equations: 82
% Current number of rules: 124
% New rule produced :
% [200]
% left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))
% ->
% right_division(right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Z)))),
% right_division(identity,X))
% Current number of equations to process: 316
% Current number of ordered equations: 80
% Current number of rules: 125
% New rule produced :
% [201]
% right_division(right_division(Y,right_division(X,right_division(identity,X))),
% right_division(identity,X)) -> right_division(Y,X)
% Current number of equations to process: 316
% Current number of ordered equations: 77
% Current number of rules: 126
% New rule produced :
% [202]
% left_division(Z,right_division(right_division(Z,right_division(identity,
% right_division(X,right_division(identity,X)))),
% right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,Z))))),
% right_division(identity,Z))
% Current number of equations to process: 316
% Current number of ordered equations: 75
% Current number of rules: 127
% New rule produced :
% [203]
% 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
% [108]
% left_division(X,right_division(right_division(X,Y),right_division(identity,
% right_division(Y,right_division(identity,
% right_division(X,Y))))))
% -> right_division(X,Y) collapsed.
% Current number of equations to process: 315
% Current number of ordered equations: 75
% Current number of rules: 127
% New rule produced :
% [204]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y)),
% right_division(identity,X))))
% Current number of equations to process: 315
% Current number of ordered equations: 74
% Current number of rules: 128
% New rule produced :
% [205]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y)),
% right_division(identity,X))))
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,
% right_division(V_3,
% right_division(identity,Y)))),
% right_division(identity,X))))
% Current number of equations to process: 315
% Current number of ordered equations: 73
% Current number of rules: 129
% New rule produced :
% [206]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% 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(Z,right_division(identity,right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 315
% Current number of ordered equations: 72
% Current number of rules: 130
% New rule produced :
% [207]
% right_division(right_division(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,Y))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 315
% Current number of ordered equations: 69
% Current number of rules: 131
% New rule produced :
% [208]
% right_division(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(identity,Y)))) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Current number of equations to process: 315
% Current number of ordered equations: 68
% Current number of rules: 132
% New rule produced :
% [209]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X))))
% Current number of equations to process: 315
% Current number of ordered equations: 67
% Current number of rules: 133
% New rule produced :
% [210]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,Y))))))
% <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% 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: 315
% Current number of ordered equations: 66
% Current number of rules: 134
% New rule produced :
% [211]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y)))),
% right_division(identity,X))))
% Current number of equations to process: 315
% Current number of ordered equations: 65
% Current number of rules: 135
% New rule produced :
% [212]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Y)),right_division(identity,right_division(Z,
% 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,
% right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,Y))))))
% Current number of equations to process: 315
% Current number of ordered equations: 64
% Current number of rules: 136
% New rule produced :
% [213]
% 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: 315
% Current number of ordered equations: 63
% Current number of rules: 137
% New rule produced :
% [214]
% right_division(right_division(X,right_division(identity,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,X)))
% Current number of equations to process: 314
% Current number of ordered equations: 62
% Current number of rules: 138
% New rule produced :
% [215]
% 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: 314
% Current number of ordered equations: 60
% Current number of rules: 139
% New rule produced :
% [216]
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,
% right_division(X,
% right_division(identity,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,right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 311
% Current number of ordered equations: 59
% Current number of rules: 140
% New rule produced :
% [217]
% 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(X,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))
% Current number of equations to process: 311
% Current number of ordered equations: 58
% Current number of rules: 141
% New rule produced :
% [218]
% right_division(right_division(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,
% right_division(X,
% right_division(identity,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,Y))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 310
% Current number of ordered equations: 58
% Current number of rules: 142
% New rule produced :
% [219]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))),
% right_division(right_division(Y,right_division(identity,Z)),right_division(identity,X)))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 310
% Current number of ordered equations: 56
% Current number of rules: 143
% New rule produced :
% [220]
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),
% right_division(identity,left_division(Y,left_division(X,Y)))) ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% Current number of equations to process: 308
% Current number of ordered equations: 56
% Current number of rules: 144
% New rule produced :
% [221]
% left_division(X,left_division(X,right_division(Y,right_division(identity,
% right_division(X,right_division(identity,X))))))
% ->
% right_division(left_division(X,left_division(X,Y)),right_division(identity,
% right_division(X,right_division(identity,X))))
% Current number of equations to process: 308
% Current number of ordered equations: 54
% Current number of rules: 145
% New rule produced :
% [222]
% left_division(X,left_division(X,right_division(Y,right_division(X,right_division(identity,X)))))
% ->
% right_division(left_division(X,left_division(X,Y)),right_division(X,right_division(identity,X)))
% Current number of equations to process: 308
% Current number of ordered equations: 53
% Current number of rules: 146
% New rule produced :
% [223]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,Y)) ->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,Y))))
% Current number of equations to process: 307
% Current number of ordered equations: 53
% Current number of rules: 147
% New rule produced :
% [224]
% right_division(right_division(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,Y)))) ->
% 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(X,
% right_division(identity,Y))))))))
% Current number of equations to process: 306
% Current number of ordered equations: 52
% Current number of rules: 148
% New rule produced :
% [225]
% 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(right_division(X,
% right_division(identity,Y)),
% right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Current number of equations to process: 306
% Current number of ordered equations: 51
% Current number of rules: 149
% New rule produced :
% [226]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(Z,right_division(identity,Y)),
% right_division(identity,X))))
% Current number of equations to process: 306
% Current number of ordered equations: 50
% Current number of rules: 150
% New rule produced :
% [227]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(Z,right_division(identity,Y)),
% right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(identity,X))))
% Current number of equations to process: 306
% Current number of ordered equations: 49
% Current number of rules: 151
% New rule produced :
% [228]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(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: 306
% Current number of ordered equations: 46
% Current number of rules: 152
% New rule produced :
% [229]
% 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,X))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,X))))
% Current number of equations to process: 303
% Current number of ordered equations: 46
% Current number of rules: 153
% New rule produced :
% [230]
% 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(identity,X))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,X))))
% Current number of equations to process: 302
% Current number of ordered equations: 45
% Current number of rules: 154
% New rule produced :
% [231]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,Z)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,Y))))),
% right_division(identity,right_division(Z,right_division(identity,X))))
% Current number of equations to process: 300
% Current number of ordered equations: 46
% Current number of rules: 155
% New rule produced :
% [232]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,Y))))),
% right_division(identity,right_division(Z,right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,Y),
% right_division(identity,Z)))),
% right_division(identity,X))))
% Current number of equations to process: 300
% Current number of ordered equations: 45
% Current number of rules: 156
% New rule produced :
% [233]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,Z))))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(X,Z),
% right_division(identity,X))))))
% Current number of equations to process: 298
% Current number of ordered equations: 46
% Current number of rules: 157
% New rule produced :
% [234]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(X,Z),
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,Z))))),
% right_division(identity,X))))
% Current number of equations to process: 298
% Current number of ordered equations: 45
% Current number of rules: 158
% New rule produced :
% [235]
% right_division(X,right_division(identity,right_division(right_division(
% left_division(Y,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(
% left_division(Y,Z),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(identity,X))))
% Current number of equations to process: 296
% Current number of ordered equations: 46
% Current number of rules: 159
% New rule produced :
% [236]
% right_division(right_division(X,right_division(identity,right_division(
% left_division(Y,Z),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(
% left_division(Y,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,X))))
% Current number of equations to process: 296
% Current number of ordered equations: 45
% Current number of rules: 160
% New rule produced :
% [237]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% left_division(Z,X),
% right_division(identity,Z)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% left_division(Z,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% Current number of equations to process: 294
% Current number of ordered equations: 46
% Current number of rules: 161
% New rule produced :
% [238]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% left_division(Z,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% left_division(Z,X),
% right_division(identity,Z)))),
% right_division(identity,X))))
% Current number of equations to process: 294
% Current number of ordered equations: 45
% Current number of rules: 162
% New rule produced :
% [239]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(left_division(Y,Z),right_division(identity,X))))
% ->
% 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: 294
% Current number of ordered equations: 43
% Current number of rules: 163
% New rule produced :
% [240]
% left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z))) ->
% right_division(right_division(Y,right_division(identity,right_division(Z,X))),
% right_division(identity,X))
% Rule
% [105]
% right_division(left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z))),X) ->
% right_division(Y,right_division(identity,right_division(Z,X))) collapsed.
% Rule
% [156]
% left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,X)))))
% ->
% right_division(right_division(Y,right_division(identity,X)),right_division(identity,X))
% collapsed.
% Rule
% [157]
% left_division(right_division(X,right_division(identity,Y)),left_division(Z,
% right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z))))))
% -> Z collapsed.
% Rule
% [160]
% left_division(right_division(X,right_division(identity,right_division(Y,Z))),
% left_division(Z,right_division(right_division(Z,right_division(identity,X)),
% right_division(identity,Y)))) -> Z collapsed.
% Rule
% [162]
% left_division(X,left_division(Y,right_division(right_division(Y,right_division(identity,X)),
% right_division(identity,Z)))) ->
% right_division(right_division(right_division(Z,Y),right_division(identity,
% right_division(Y,X))),
% right_division(identity,X)) collapsed.
% Rule
% [183]
% left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(left_division(X,Z),
% right_division(identity,X))))) ->
% right_division(right_division(Y,right_division(identity,left_division(X,Z))),
% right_division(identity,X)) collapsed.
% Rule
% [184]
% left_division(X,right_division(right_division(X,right_division(identity,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,right_division(X,
% right_division(identity,Z)))),
% right_division(identity,X)) collapsed.
% Rule
% [185]
% left_division(Z,right_division(right_division(Z,right_division(identity,
% left_division(X,Y))),
% 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
% [186]
% left_division(Z,right_division(right_division(Z,right_division(identity,
% right_division(X,right_division(identity,Y)))),
% right_division(identity,right_division(X,right_division(identity,Z)))))
% ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z)) collapsed.
% Rule
% [187]
% left_division(Z,right_division(right_division(Z,right_division(identity,X)),
% 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
% [189]
% right_division(left_division(X,left_division(X,right_division(right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z)))),X)
% ->
% left_division(X,right_division(Y,right_division(identity,right_division(Z,X))))
% collapsed.
% Rule
% [190]
% left_division(Y,right_division(right_division(Y,right_division(identity,
% right_division(X,Y))),
% right_division(identity,right_division(Y,right_division(identity,X)))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [200]
% left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,
% right_division(Z,
% right_division(identity,X)))))))
% ->
% right_division(right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Z)))),
% right_division(identity,X)) collapsed.
% Rule
% [202]
% left_division(Z,right_division(right_division(Z,right_division(identity,
% right_division(X,right_division(identity,X)))),
% right_division(identity,Y))) ->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(Y,Z))))),
% right_division(identity,Z)) collapsed.
% Current number of equations to process: 296
% Current number of ordered equations: 16
% Current number of rules: 150
% New rule produced :
% [241]
% 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(identity,Z)))
% ->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(X,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(identity,Y))))
% Current number of equations to process: 295
% Current number of ordered equations: 14
% Current number of rules: 151
% New rule produced :
% [242]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),X) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,X)))))
% Rule
% [92]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),X)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Z))))
% collapsed.
% Rule
% [158]
% right_division(right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),X),right_division(Y,
% right_division(identity,
% right_division(Z,X))))
% -> X collapsed.
% Rule
% [167]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),X)
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,Y))))
% collapsed.
% Current number of equations to process: 296
% Current number of ordered equations: 13
% Current number of rules: 149
% New rule produced :
% [243]
% right_division(identity,left_division(Y,right_division(identity,left_division(X,Y))))
% <->
% right_division(right_division(identity,left_division(X,right_division(identity,
% left_division(X,Y)))),
% right_division(identity,left_division(X,Y)))
% Current number of equations to process: 293
% Current number of ordered equations: 14
% Current number of rules: 150
% New rule produced :
% [244]
% right_division(right_division(identity,left_division(X,right_division(identity,
% left_division(X,Y)))),
% right_division(identity,left_division(X,Y))) <->
% right_division(identity,left_division(Y,right_division(identity,left_division(X,Y))))
% Current number of equations to process: 293
% Current number of ordered equations: 13
% Current number of rules: 151
% New rule produced :
% [245]
% left_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)),
% right_division(identity,X))))) -> X
% Current number of equations to process: 293
% Current number of ordered equations: 12
% Current number of rules: 152
% New rule produced :
% [246]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(left_division(X,right_division(Y,right_division(identity,Z))),
% right_division(identity,X))) -> right_division(X,right_division(identity,X))
% Current number of equations to process: 292
% Current number of ordered equations: 12
% Current number of rules: 153
% New rule produced :
% [247]
% right_division(right_division(identity,right_division(X,right_division(identity,X))),
% right_division(right_division(identity,X),right_division(X,right_division(identity,X))))
% -> X
% Current number of equations to process: 287
% Current number of ordered equations: 12
% Current number of rules: 154
% New rule produced :
% [248]
% right_division(right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,Y)))),
% right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,X)))),
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))
% -> X
% Current number of equations to process: 286
% Current number of ordered equations: 12
% Current number of rules: 155
% New rule produced :
% [249]
% left_division(left_division(X,right_division(Y,right_division(identity,
% right_division(X,Y)))),
% left_division(X,right_division(Y,right_division(identity,right_division(
% right_division(X,Y),
% right_division(identity,X))))))
% -> X
% Current number of equations to process: 285
% Current number of ordered equations: 12
% Current number of rules: 156
% New rule produced :
% [250]
% right_division(identity,right_division(right_division(right_division(identity,
% right_division(
% left_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(identity,right_division(
% right_division(
% left_division(Y,X),
% right_division(identity,Y)),
% right_division(X,
% right_division(identity,
% right_division(
% left_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))),
% right_division(identity,right_division(X,right_division(identity,
% right_division(
% left_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))
% -> X
% Current number of equations to process: 284
% Current number of ordered equations: 12
% Current number of rules: 157
% New rule produced :
% [251]
% left_division(left_division(X,right_division(left_division(Y,X),right_division(identity,Y))),
% left_division(X,right_division(left_division(Y,X),right_division(identity,
% right_division(Y,right_division(identity,X))))))
% -> X
% Current number of equations to process: 283
% Current number of ordered equations: 12
% Current number of rules: 158
% New rule produced :
% [252]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(X,Y))) ->
% right_division(X,right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(X,Y)))))
% Current number of equations to process: 281
% Current number of ordered equations: 12
% Current number of rules: 159
% New rule produced :
% [253]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Y,Z))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,Z))),
% right_division(identity,right_division(right_division(Z,right_division(identity,
% right_division(Y,Z))),
% right_division(identity,X))))
% Current number of equations to process: 280
% Current number of ordered equations: 13
% Current number of rules: 160
% New rule produced :
% [254]
% right_division(right_division(X,right_division(identity,right_division(Y,Z))),
% right_division(identity,right_division(right_division(Z,right_division(identity,
% right_division(Y,Z))),
% right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Y,Z))),
% right_division(identity,X))))
% Current number of equations to process: 280
% Current number of ordered equations: 12
% Current number of rules: 161
% New rule produced :
% [255]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(Z,
% right_division(identity,Z))))),
% right_division(identity,right_division(Z,right_division(identity,right_division(Z,
% right_division(identity,X))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 279
% Current number of ordered equations: 11
% Current number of rules: 162
% New rule produced :
% [256]
% right_division(right_division(X,right_division(Z,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(Z,Y))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(Z,Y))))))
% Current number of equations to process: 278
% Current number of ordered equations: 10
% Current number of rules: 163
% New rule produced :
% [257]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,V_3))))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X))))
% Current number of equations to process: 278
% Current number of ordered equations: 9
% Current number of rules: 164
% New rule produced :
% [258]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Y)),right_division(identity,right_division(
% right_division(Z,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,
% right_division(Z,
% right_division(identity,Y))))))
% Current number of equations to process: 278
% Current number of ordered equations: 8
% Current number of rules: 165
% New rule produced :
% [259]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,V_3))))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,X))))
% Current number of equations to process: 278
% Current number of ordered equations: 7
% Current number of rules: 166
% New rule produced :
% [260]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Z,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(X,Y)))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,Y)))))
% Current number of equations to process: 277
% Current number of ordered equations: 7
% Current number of rules: 167
% New rule produced :
% [261]
% left_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,
% right_division(Z,X))))
% <->
% right_division(left_division(right_division(X,right_division(identity,Y)),
% right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))),
% right_division(X,right_division(identity,Y)))
% Current number of equations to process: 277
% Current number of ordered equations: 6
% Current number of rules: 168
% New rule produced :
% [262]
% right_division(left_division(right_division(X,right_division(identity,Y)),
% right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))),
% right_division(X,right_division(identity,Y))) <->
% left_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,
% right_division(Z,X))))
% Current number of equations to process: 277
% Current number of ordered equations: 5
% Current number of rules: 169
% New rule produced :
% [263]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))),X)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 276
% Current number of ordered equations: 5
% Current number of rules: 170
% New rule produced :
% [264]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Y,right_division(identity,X)))),
% right_division(identity,Z)) ->
% right_division(right_division(X,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: 270
% Current number of ordered equations: 5
% Current number of rules: 171
% New rule produced :
% [265]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z)))),
% right_division(right_division(Y,right_division(identity,right_division(Z,X))),
% right_division(identity,X))) -> right_division(X,right_division(identity,X))
% Current number of equations to process: 267
% Current number of ordered equations: 4
% Current number of rules: 172
% New rule produced :
% [266]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(left_division(X,
% right_division(Y,
% right_division(identity,
% right_division(Z,X)))),
% right_division(identity,X))) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 266
% Current number of ordered equations: 4
% Current number of rules: 173
% New rule produced :
% [267]
% right_division(X,right_division(identity,right_division(left_division(Y,X),Y)))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% Current number of equations to process: 265
% Current number of ordered equations: 4
% Current number of rules: 174
% New rule produced :
% [268]
% right_division(X,right_division(right_division(identity,left_division(Y,
% right_division(identity,
% left_division(Y,X)))),
% right_division(identity,left_division(Y,X)))) ->
% right_division(identity,left_division(Y,X))
% Current number of equations to process: 264
% Current number of ordered equations: 4
% Current number of rules: 175
% New rule produced :
% [269]
% right_division(left_division(right_division(X,right_division(identity,Y)),
% right_division(Y,right_division(identity,right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,Y))))),
% right_division(X,right_division(identity,Y))) ->
% left_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,Z)))
% Current number of equations to process: 263
% Current number of ordered equations: 3
% Current number of rules: 176
% New rule produced :
% [270]
% right_division(right_division(identity,left_division(right_division(Y,X),
% right_division(left_division(X,Y),X))),
% right_division(left_division(X,Y),X)) ->
% right_division(identity,right_division(left_division(X,left_division(X,Y)),X))
% Current number of equations to process: 262
% Current number of ordered equations: 3
% Current number of rules: 177
% New rule produced :
% [271]
% right_division(identity,left_division(X,left_division(X,left_division(X,
% left_division(X,Y)))))
% <->
% right_division(right_division(identity,left_division(Y,left_division(X,
% left_division(X,Y)))),
% left_division(X,left_division(X,Y)))
% Current number of equations to process: 256
% Current number of ordered equations: 4
% Current number of rules: 178
% New rule produced :
% [272]
% right_division(right_division(identity,left_division(Y,left_division(X,
% left_division(X,Y)))),
% left_division(X,left_division(X,Y))) <->
% right_division(identity,left_division(X,left_division(X,left_division(X,
% left_division(X,Y)))))
% Current number of equations to process: 256
% Current number of ordered equations: 3
% Current number of rules: 179
% New rule produced :
% [273]
% right_division(X,left_division(Y,left_division(Y,left_division(Y,left_division(Y,X)))))
% ->
% 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: 255
% Current number of ordered equations: 3
% Current number of rules: 180
% New rule produced :
% [274]
% 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(Y,
% right_division(identity,X))))))
% ->
% 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(Y,
% right_division(identity,X))))))))))
% Current number of equations to process: 255
% Current number of ordered equations: 2
% Current number of rules: 181
% New rule produced :
% [275]
% right_division(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(Y,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Rule
% [264]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Y,right_division(identity,X)))),
% right_division(identity,Z)) ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(identity,Z)) collapsed.
% Current number of equations to process: 254
% Current number of ordered equations: 2
% Current number of rules: 181
% New rule produced :
% [276]
% right_division(left_division(right_division(X,right_division(identity,Y)),
% 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,Y))) ->
% left_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,X)))
% Current number of equations to process: 254
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [277]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% left_division(X,Y)) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 252
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [278]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% left_division(X,left_division(X,Y))) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 250
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [279]
% right_division(right_division(X,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(X,right_division(identity,Y))))) ->
% right_division(X,right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))))
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [280]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,V_3))),
% right_division(identity,right_division(V_3,right_division(identity,X)))),
% right_division(identity,Z)) ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z))
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [281]
% right_division(right_division(X,left_division(Y,Z)),left_division(Z,Y)) -> X
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [282]
% right_division(identity,left_division(X,left_division(X,Y))) <->
% left_division(Y,right_division(X,right_division(identity,X)))
% Current number of equations to process: 257
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [283]
% left_division(Y,right_division(X,right_division(identity,X))) <->
% right_division(identity,left_division(X,left_division(X,Y)))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [284]
% right_division(right_division(X,Y),right_division(right_division(identity,
% left_division(X,Y)),Y)) ->
% Y
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [285]
% right_division(identity,left_division(Y,right_division(X,right_division(identity,X))))
% <-> left_division(X,left_division(X,Y))
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [286]
% left_division(X,left_division(X,Y)) <->
% right_division(identity,left_division(Y,right_division(X,right_division(identity,X))))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [287]
% right_division(X,left_division(Y,right_division(identity,left_division(X,Y))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [288]
% right_division(right_division(right_division(X,Y),X),right_division(right_division(identity,Y),X))
% -> X
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [289]
% right_division(right_division(X,Y),left_division(X,right_division(identity,Y)))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [290]
% left_division(X,left_division(X,right_division(right_division(X,right_division(identity,X)),Y)))
% -> right_division(identity,Y)
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [291]
% right_division(left_division(X,Y),right_division(identity,left_division(Y,X)))
% -> identity
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [292]
% 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: 267
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [293]
% 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: 267
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [294]
% left_division(right_division(left_division(X,Y),left_division(Y,X)),Z) ->
% left_division(left_division(X,Y),left_division(left_division(X,Y),Z))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [295]
% right_division(left_division(X,Y),right_division(left_division(X,Y),left_division(Y,X)))
% -> right_division(identity,left_division(X,Y))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [296]
% right_division(left_division(right_division(identity,X),right_division(Y,X)),
% right_division(identity,X)) -> left_division(right_division(identity,X),Y)
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [297]
% left_division(right_division(identity,X),right_division(Y,X)) ->
% right_division(left_division(right_division(identity,X),Y),X)
% Rule
% [296]
% right_division(left_division(right_division(identity,X),right_division(Y,X)),
% right_division(identity,X)) -> left_division(right_division(identity,X),Y)
% collapsed.
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [298]
% 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: 274
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [299]
% 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: 274
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [300]
% 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: 273
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [301]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% left_division(Y,X),
% right_division(identity,Y)))
% -> Y
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [302]
% left_division(left_division(X,Y),left_division(Y,X)) ->
% right_division(identity,right_division(left_division(X,Y),right_division(identity,
% left_division(X,Y))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [303]
% right_division(identity,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X))))
% <-> right_division(left_division(X,Y),left_division(Y,X))
% Current number of equations to process: 270
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [304]
% right_division(left_division(X,Y),left_division(Y,X)) <->
% right_division(identity,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X))))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [305]
% right_division(X,right_division(identity,right_division(right_division(
% left_division(X,Y),X),X)))
% -> right_division(right_division(Y,X),X)
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 210
% Rule [261]
% left_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,
% right_division(Z,X))))
% <->
% right_division(left_division(right_division(X,right_division(identity,Y)),
% right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))),
% right_division(X,right_division(identity,Y))) is composed into [261]
% left_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(Y,
% right_division(identity,
% right_division(Z,X))))
% ->
% right_division(
% right_division(identity,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(X,
% right_division(identity,Y)))))
% Rule [196]
% left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(Y,X))))
% ->
% right_division(left_division(X,right_division(right_division(Y,X),
% right_division(identity,Y))),X) is composed into
% [196]
% left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(Y,X)))) ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(
% right_division(Y,X),
% right_division(identity,Y)),X)))
% Rule [33]
% left_division(X,right_division(Y,X)) ->
% right_division(left_division(X,Y),X) is composed into [33]
% left_division(X,
% right_division(Y,X))
% ->
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,X)))
% New rule produced :
% [306]
% right_division(left_division(X,Y),X) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,X)))
% Rule
% [41]
% right_division(right_division(X,Y),right_division(left_division(Y,X),Y)) -> Y
% collapsed.
% Rule
% [88]
% right_division(X,right_division(identity,right_division(left_division(X,Y),X)))
% -> right_division(Y,X) collapsed.
% Rule
% [98]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(Y,right_division(identity,X))))),X)
% -> left_division(X,right_division(Y,right_division(identity,Y))) collapsed.
% Rule
% [135]
% right_division(right_division(right_division(X,Y),Y),right_division(right_division(
% left_division(Y,X),Y),Y))
% -> Y collapsed.
% Rule
% [148]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(left_division(X,Y),X)) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule
% [149]
% right_division(right_division(X,Y),right_division(left_division(Y,left_division(Y,X)),Y))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [153]
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(Y,X))) ->
% right_division(left_division(X,Y),right_division(identity,right_division(
% left_division(X,Y),X)))
% collapsed.
% Rule
% [173]
% right_division(Y,right_division(identity,right_division(right_division(
% left_division(Y,X),Y),
% right_division(identity,left_division(Y,X)))))
% ->
% right_division(right_division(X,Y),right_division(identity,left_division(Y,X)))
% collapsed.
% Rule
% [174]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(right_division(X,Y),
% right_division(identity,X))))),X)
% ->
% left_division(X,right_division(Y,right_division(identity,right_division(X,Y))))
% collapsed.
% Rule
% [175]
% right_division(right_division(left_division(X,Y),X),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Y,X)))))
% ->
% right_division(left_division(X,Y),right_division(identity,right_division(Y,X)))
% collapsed.
% Rule
% [178]
% right_division(right_division(identity,right_division(left_division(Y,X),Y)),
% right_division(identity,right_division(right_division(right_division(X,Y),
% right_division(identity,right_division(X,Y))),
% right_division(left_division(Y,X),Y)))) ->
% right_division(right_division(identity,right_division(left_division(Y,X),Y)),
% right_division(identity,X)) collapsed.
% Rule
% [179]
% right_division(left_division(X,right_division(left_division(Y,X),right_division(identity,
% right_division(Y,
% right_division(identity,X))))),X)
% ->
% left_division(X,right_division(left_division(Y,X),right_division(identity,Y)))
% collapsed.
% Rule
% [181]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(
% left_division(Y,Z),Y),
% right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(right_division(Z,Y),
% right_division(identity,X))))
% collapsed.
% Rule
% [262]
% right_division(left_division(right_division(X,right_division(identity,Y)),
% right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y))))),
% right_division(X,right_division(identity,Y))) <->
% left_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,
% right_division(Z,X))))
% collapsed.
% Rule
% [267]
% right_division(X,right_division(identity,right_division(left_division(Y,X),Y)))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% collapsed.
% Rule
% [269]
% right_division(left_division(right_division(X,right_division(identity,Y)),
% right_division(Y,right_division(identity,right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,Y))))),
% right_division(X,right_division(identity,Y))) ->
% left_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,Z)))
% collapsed.
% Rule
% [270]
% right_division(right_division(identity,left_division(right_division(Y,X),
% right_division(left_division(X,Y),X))),
% right_division(left_division(X,Y),X)) ->
% right_division(identity,right_division(left_division(X,left_division(X,Y)),X))
% collapsed.
% Rule
% [276]
% right_division(left_division(right_division(X,right_division(identity,Y)),
% 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,Y))) ->
% left_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,X)))
% collapsed.
% Rule
% [305]
% right_division(X,right_division(identity,right_division(right_division(
% left_division(X,Y),X),X)))
% -> right_division(right_division(Y,X),X) collapsed.
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [307]
% 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: 301
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [308]
% right_division(right_division(X,Y),right_division(right_division(identity,Y),
% right_division(identity,right_division(X,Y))))
% -> Y
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [309]
% 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: 299
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [310]
% 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: 318
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [311]
% right_division(X,right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y)))) -> Y
% Rule
% [309]
% 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: 333
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [312]
% right_division(right_division(identity,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% -> X
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [313]
% right_division(right_division(X,left_division(Y,Z)),left_division(X,left_division(Z,Y)))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 397
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [314]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Y,X)))
% -> right_division(X,right_division(identity,X))
% Rule
% [195]
% right_division(right_division(left_division(X,Y),right_division(identity,X)),
% right_division(identity,left_division(X,left_division(X,Y)))) ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% collapsed.
% Rule
% [220]
% right_division(right_division(left_division(X,Y),right_division(identity,Y)),
% right_division(identity,left_division(Y,left_division(X,Y)))) ->
% right_division(left_division(X,Y),right_division(identity,left_division(X,Y)))
% collapsed.
% Current number of equations to process: 396
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [315]
% right_division(X,right_division(Y,right_division(identity,X))) <->
% right_division(X,right_division(identity,right_division(right_division(identity,X),Y)))
% Current number of equations to process: 461
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [316]
% right_division(X,right_division(identity,right_division(right_division(identity,X),Y)))
% <-> right_division(X,right_division(Y,right_division(identity,X)))
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [317]
% right_division(right_division(X,right_division(identity,X)),right_division(Y,
% right_division(identity,X)))
% -> right_division(X,Y)
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [318]
% right_division(right_division(X,right_division(identity,X)),Y) ->
% right_division(X,right_division(identity,right_division(X,Y)))
% Rule
% [136]
% 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
% [214]
% right_division(right_division(X,right_division(identity,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,X)))
% collapsed.
% Rule
% [290]
% left_division(X,left_division(X,right_division(right_division(X,right_division(identity,X)),Y)))
% -> right_division(identity,Y) collapsed.
% Rule
% [317]
% right_division(right_division(X,right_division(identity,X)),right_division(Y,
% right_division(identity,X)))
% -> right_division(X,Y) collapsed.
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [319]
% right_division(X,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,X)))))
% -> right_division(X,Y)
% Current number of equations to process: 489
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [320]
% left_division(right_division(identity,X),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: 488
% Current number of ordered equations: 0
% Current number of rules: 199
% Rule [210]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,Y))))))
% <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Y)),right_division(identity,
% right_division(Z,right_division(identity,
% right_division(X,
% right_division(identity,Y)))))) is composed into
% [210]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,X)),
% 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,right_division(identity,right_division(X,
% right_division(identity,Y))))))
% Rule [128]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(identity,X)) <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)),
% right_division(identity,X)))) is composed into
% [128]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(identity,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,X))))))
% New rule produced :
% [321]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Y))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% Rule
% [127]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)),
% right_division(identity,X)))) <->
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(identity,X)) collapsed.
% Rule
% [212]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Y)),right_division(identity,right_division(Z,
% 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,
% right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,Y))))))
% collapsed.
% Rule
% [245]
% left_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X)),
% right_division(identity,X))))) -> X
% collapsed.
% Rule
% [252]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),
% right_division(identity,right_division(X,Y))) ->
% right_division(X,right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(X,Y)))))
% collapsed.
% Rule
% [258]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Y)),right_division(identity,right_division(
% right_division(Z,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,
% right_division(Z,
% right_division(identity,Y))))))
% collapsed.
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [322]
% 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: 514
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [323]
% left_division(left_division(X,Y),right_division(Z,left_division(Y,X))) ->
% right_division(left_division(left_division(X,Y),Z),right_division(identity,
% left_division(X,Y)))
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [324]
% right_division(identity,right_division(right_division(identity,left_division(X,
% left_division(Y,X))),
% left_division(Y,X))) <->
% left_division(Y,left_division(Y,X))
% Current number of equations to process: 512
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [325]
% left_division(Y,left_division(Y,X)) <->
% right_division(identity,right_division(right_division(identity,left_division(X,
% left_division(Y,X))),
% left_division(Y,X)))
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [326]
% right_division(identity,left_division(X,right_division(identity,left_division(Y,X))))
% <->
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y))
% Current number of equations to process: 511
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [327]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y)) <->
% right_division(identity,left_division(X,right_division(identity,left_division(Y,X))))
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [328]
% right_division(X,right_division(identity,right_division(Y,right_division(Z,X))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),Z)
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [329]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),Z)
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(Z,X))))
% Rule
% [193]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Y)) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,Y))))
% collapsed.
% Rule
% [215]
% 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
% [230]
% 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(identity,X))
% ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(X,
% right_division(identity,Y))),
% right_division(identity,X))))
% collapsed.
% Rule
% [279]
% right_division(right_division(X,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(X,right_division(identity,Y))))) ->
% right_division(X,right_division(identity,right_division(X,right_division(X,
% right_division(identity,Y)))))
% collapsed.
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [330]
% right_division(X,right_division(identity,right_division(right_division(Y,X),Z)))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(Z,
% right_division(identity,X)))
% Current number of equations to process: 512
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [331]
% right_division(right_division(X,right_division(identity,Y)),right_division(Z,
% right_division(identity,X)))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),Z)))
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [332]
% right_division(right_division(X,right_division(identity,right_division(X,
% left_division(Y,Z)))),
% left_division(Z,Y)) -> right_division(X,right_division(identity,X))
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [333]
% 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)))
% Rule
% [115]
% right_division(right_division(identity,right_division(X,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.
% Rule
% [150]
% right_division(right_division(identity,right_division(X,right_division(identity,X))),X)
% ->
% right_division(right_division(identity,X),right_division(X,right_division(identity,X)))
% collapsed.
% Rule
% [247]
% right_division(right_division(identity,right_division(X,right_division(identity,X))),
% right_division(right_division(identity,X),right_division(X,right_division(identity,X))))
% -> X collapsed.
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [334]
% right_division(identity,left_division(right_division(identity,X),left_division(
% right_division(identity,X),Y)))
% <->
% left_division(Y,right_division(identity,right_division(X,right_division(identity,X))))
% Current number of equations to process: 578
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [335]
% left_division(Y,right_division(identity,right_division(X,right_division(identity,X))))
% <->
% right_division(identity,left_division(right_division(identity,X),left_division(
% right_division(identity,X),Y)))
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [336]
% right_division(identity,left_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% <->
% left_division(right_division(identity,Y),left_division(right_division(identity,Y),X))
% Current number of equations to process: 577
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [337]
% left_division(right_division(identity,Y),left_division(right_division(identity,Y),X))
% <->
% right_division(identity,left_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [338]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,
% left_division(X,Y)),
% right_division(identity,Y)))
% -> Y
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [339]
% right_division(right_division(identity,right_division(Y,X)),right_division(identity,Y))
% -> X
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [340]
% right_division(right_division(identity,X),right_division(identity,right_division(
% left_division(
% right_division(identity,X),Y),X)))
% -> right_division(Y,X)
% Current number of equations to process: 627
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [341]
% 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: 626
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [342]
% 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: 647
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [343]
% 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: 646
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [344]
% 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: 645
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [345]
% 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: 645
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [346]
% right_division(X,right_division(identity,right_division(right_division(identity,
% left_division(Y,X)),
% right_division(identity,X)))) ->
% right_division(Y,right_division(identity,X))
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [347]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),Z)))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(Z,
% right_division(identity,Y)))
% Rule
% [120]
% right_division(X,right_division(identity,right_division(left_division(X,Y),
% right_division(identity,X)))) ->
% right_division(Y,right_division(identity,X)) collapsed.
% Rule
% [340]
% right_division(right_division(identity,X),right_division(identity,right_division(
% left_division(
% right_division(identity,X),Y),X)))
% -> right_division(Y,X) collapsed.
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [348]
% 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)))
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [349]
% right_division(X,right_division(identity,right_division(left_division(Z,Y),
% right_division(identity,X)))) <->
% right_division(right_division(X,left_division(Y,Z)),right_division(identity,X))
% Current number of equations to process: 696
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [350]
% right_division(right_division(X,left_division(Y,Z)),right_division(identity,X))
% <->
% right_division(X,right_division(identity,right_division(left_division(Z,Y),
% right_division(identity,X))))
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [351]
% right_division(right_division(X,Y),right_division(Y,right_division(identity,
% right_division(X,Y)))) ->
% right_division(identity,Y)
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 216
% Rule [134]
% left_division(X,right_division(identity,right_division(X,right_division(identity,X))))
% ->
% right_division(right_division(identity,X),right_division(X,right_division(identity,X))) is composed into
% [134]
% left_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)))))
% New rule produced :
% [352]
% 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)))))
% Rule
% [192]
% right_division(identity,right_division(right_division(identity,X),right_division(X,
% right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,X))))
% collapsed.
% Rule
% [197]
% right_division(right_division(identity,X),right_division(right_division(identity,X),
% right_division(X,right_division(identity,X))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 1221
% Current number of ordered equations: 0
% Current number of rules: 215
% Rule [286]
% left_division(X,left_division(X,Y)) <->
% right_division(identity,left_division(Y,right_division(X,right_division(identity,X)))) is composed into
% [286]
% left_division(X,left_division(X,Y)) ->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,X)))))
% Rule [282]
% right_division(identity,left_division(X,left_division(X,Y))) <->
% left_division(Y,right_division(X,right_division(identity,X))) is composed into
% [282]
% right_division(identity,left_division(X,left_division(X,Y))) ->
% right_division(right_division(identity,Y),right_division(identity,right_division(X,
% right_division(identity,X))))
% New rule produced :
% [353]
% left_division(X,right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% Rule
% [146]
% left_division(left_division(X,right_division(Y,right_division(identity,Y))),
% left_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X))))))
% -> X collapsed.
% Rule
% [196]
% left_division(X,right_division(right_division(Y,X),right_division(identity,
% right_division(Y,X)))) ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(
% right_division(Y,X),
% right_division(identity,Y)),X)))
% collapsed.
% Rule
% [283]
% left_division(Y,right_division(X,right_division(identity,X))) <->
% right_division(identity,left_division(X,left_division(X,Y))) collapsed.
% Rule
% [285]
% right_division(identity,left_division(Y,right_division(X,right_division(identity,X))))
% <-> left_division(X,left_division(X,Y)) collapsed.
% Rule
% [320]
% left_division(right_division(identity,X),right_division(Y,right_division(identity,Y)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% collapsed.
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [354]
% 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: 2111
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [355]
% right_division(X,right_division(identity,right_division(right_division(identity,
% left_division(Y,X)),
% right_division(identity,Y)))) ->
% right_division(Y,right_division(identity,Y))
% Current number of equations to process: 2110
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [356]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,X),
% right_division(identity,Y)))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 2109
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [357]
% right_division(X,right_division(right_division(identity,Y),right_division(identity,
% left_division(Y,X))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 2217
% Current number of ordered equations: 0
% Current number of rules: 215
% Rule [326]
% right_division(identity,left_division(X,right_division(identity,
% left_division(Y,X)))) <->
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y)) is composed into [326]
% right_division(identity,left_division(X,
% right_division(identity,
% left_division(Y,X))))
% ->
% right_division(right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))),
% right_division(identity,
% left_division(X,Y))),
% left_division(X,Y))
% Rule [325]
% left_division(Y,left_division(Y,X)) <->
% right_division(identity,right_division(right_division(identity,left_division(X,
% left_division(Y,X))),
% left_division(Y,X))) is composed into [325]
% left_division(Y,
% left_division(Y,X))
% ->
% right_division(identity,
% right_division(
% right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,
% left_division(Y,X))),
% left_division(Y,X)))
% Rule [176]
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,right_division(left_division(X,Y),right_division(identity,X))))
% <->
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% right_division(identity,X)) is composed into [176]
% right_division(right_division(identity,
% left_division(X,
% left_division(X,Y))),
% right_division(identity,
% right_division(left_division(X,Y),
% right_division(identity,X))))
% ->
% right_division(right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))),
% right_division(identity,
% left_division(X,Y))),
% right_division(identity,X))
% Rule [94]
% 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)) is composed into [94]
% right_division(identity,left_division(X,
% left_division(X,Y)))
% ->
% right_division(right_division(
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))),
% right_division(identity,
% left_division(X,Y))),
% left_division(X,Y))
% New rule produced :
% [358]
% right_division(identity,left_division(X,left_division(Y,X))) ->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,left_division(Y,X)))
% Rule
% [95]
% 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))) collapsed.
% Rule
% [111]
% left_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,left_division(Y,left_division(X,Y)))) ->
% left_division(X,Y) collapsed.
% Rule
% [112]
% 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
% [177]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% right_division(identity,X)) <->
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,right_division(left_division(X,Y),right_division(identity,X))))
% collapsed.
% Rule
% [324]
% right_division(identity,right_division(right_division(identity,left_division(X,
% left_division(Y,X))),
% left_division(Y,X))) <->
% left_division(Y,left_division(Y,X)) collapsed.
% Rule
% [327]
% right_division(right_division(identity,left_division(Y,left_division(X,Y))),
% left_division(X,Y)) <->
% right_division(identity,left_division(X,right_division(identity,left_division(Y,X))))
% collapsed.
% Current number of equations to process: 2217
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [359]
% right_division(right_division(identity,left_division(right_division(X,Y),
% right_division(identity,Y))),right_division(identity,Y))
% -> right_division(identity,left_division(X,right_division(identity,Y)))
% Current number of equations to process: 2216
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [360]
% right_division(right_division(right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,left_division(Y,X))),right_division(identity,
% left_division(X,Y)))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% Current number of equations to process: 2214
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [361]
% right_division(right_division(identity,left_division(X,right_division(identity,
% left_division(X,Y)))),
% left_division(Y,X)) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% Current number of equations to process: 2214
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [362]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(Y,X)))),
% 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: 2211
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [363]
% left_division(X,Y) ->
% right_division(X,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,X)))))
% 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 [32] left_division(X,identity) -> right_division(identity,X) collapsed.
% Rule
% [33]
% left_division(X,right_division(Y,X)) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,X)))
% collapsed.
% Rule
% [54]
% right_division(X,left_division(Y,left_division(Y,X))) ->
% right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [55]
% left_division(right_division(X,right_division(identity,X)),Y) ->
% left_division(X,left_division(X,Y)) collapsed.
% Rule
% [62]
% left_division(right_division(identity,X),right_division(identity,right_division(X,
% right_division(identity,X))))
% -> right_division(identity,X) collapsed.
% Rule [77] right_division(X,right_division(identity,left_division(X,Y))) -> Y
% collapsed.
% Rule [82] right_division(identity,left_division(Y,X)) <-> left_division(X,Y)
% collapsed.
% Rule [83] left_division(X,Y) <-> right_division(identity,left_division(Y,X))
% collapsed.
% Rule [84] left_division(X,right_division(X,Y)) -> right_division(identity,Y)
% collapsed.
% Rule
% [87]
% left_division(X,right_division(Y,right_division(identity,X))) ->
% right_division(left_division(X,Y),right_division(identity,X)) collapsed.
% Rule
% [89]
% right_division(right_division(X,right_division(identity,Z)),right_division(identity,
% right_division(
% left_division(Z,Y),
% right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Rule
% [94]
% right_division(identity,left_division(X,left_division(X,Y))) ->
% right_division(right_division(right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,left_division(X,Y))),left_division(X,Y))
% collapsed.
% Rule
% [99]
% right_division(right_division(X,right_division(identity,Y)),left_division(X,Y))
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [101]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(X,right_division(identity,Y)))),Y)
% -> right_division(left_division(X,Y),right_division(identity,X)) collapsed.
% Rule
% [116]
% left_division(right_division(identity,right_division(X,right_division(identity,X))),Y)
% ->
% left_division(right_division(identity,X),left_division(right_division(identity,X),Y))
% collapsed.
% Rule
% [133]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,X)))))
% -> X collapsed.
% Rule
% [134]
% left_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)))))
% collapsed.
% Rule
% [154]
% right_division(right_division(left_division(X,Y),right_division(identity,
% right_division(Z,X))),
% right_division(identity,Y)) ->
% right_division(left_division(X,Y),right_division(identity,right_division(Z,
% right_division(identity,
% left_division(X,Y)))))
% collapsed.
% Rule
% [161]
% left_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,X))))),
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z)))
% -> X collapsed.
% Rule
% [165]
% right_division(left_division(X,Y),right_division(identity,right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,
% left_division(X,Y)))))
% <->
% right_division(right_division(left_division(X,Y),right_division(identity,Z)),
% right_division(identity,Y)) collapsed.
% Rule
% [166]
% right_division(right_division(left_division(X,Y),right_division(identity,Z)),
% right_division(identity,Y)) <->
% right_division(left_division(X,Y),right_division(identity,right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,
% left_division(X,Y)))))
% collapsed.
% Rule
% [170]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,right_division(
% left_division(Y,X),
% right_division(identity,Y))))))
% ->
% right_division(X,right_division(identity,right_division(left_division(Y,X),
% right_division(identity,Y))))
% collapsed.
% Rule
% [176]
% right_division(right_division(identity,left_division(X,left_division(X,Y))),
% right_division(identity,right_division(left_division(X,Y),right_division(identity,X))))
% ->
% right_division(right_division(right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,left_division(X,Y))),right_division(identity,X))
% collapsed.
% Rule
% [188]
% left_division(right_division(X,Y),right_division(X,right_division(identity,Z)))
% ->
% right_division(right_division(Y,right_division(identity,right_division(Z,
% right_division(X,Y)))),
% right_division(identity,right_division(X,Y))) collapsed.
% Rule
% [194]
% right_division(right_division(identity,left_division(right_division(X,
% right_division(identity,Y)),
% left_division(X,Y))),left_division(X,Y))
% ->
% right_division(identity,left_division(X,left_division(X,left_division(X,Y))))
% collapsed.
% Rule
% [198]
% right_division(right_division(X,right_division(identity,right_division(Y,
% left_division(X,Z)))),
% right_division(identity,right_division(left_division(X,Z),right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Rule
% [213]
% 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
% [221]
% left_division(X,left_division(X,right_division(Y,right_division(identity,
% right_division(X,right_division(identity,X))))))
% ->
% right_division(left_division(X,left_division(X,Y)),right_division(identity,
% right_division(X,right_division(identity,X))))
% collapsed.
% Rule
% [222]
% left_division(X,left_division(X,right_division(Y,right_division(X,right_division(identity,X)))))
% ->
% right_division(left_division(X,left_division(X,Y)),right_division(X,right_division(identity,X)))
% collapsed.
% Rule
% [235]
% right_division(X,right_division(identity,right_division(right_division(
% left_division(Y,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(
% left_division(Y,Z),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(identity,X))))
% collapsed.
% Rule
% [236]
% right_division(right_division(X,right_division(identity,right_division(
% left_division(Y,Z),
% right_division(identity,Y)))),
% right_division(identity,right_division(Z,right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(
% left_division(Y,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,X))))
% collapsed.
% Rule
% [237]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% left_division(Z,X),
% right_division(identity,Z)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% left_division(Z,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% collapsed.
% Rule
% [238]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% left_division(Z,X),
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% left_division(Z,X),
% right_division(identity,Z)))),
% right_division(identity,X))))
% collapsed.
% Rule
% [239]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,right_division(left_division(Y,Z),right_division(identity,X))))
% ->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,Z)),
% right_division(identity,X))))
% collapsed.
% Rule
% [240]
% left_division(X,right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z))) ->
% right_division(right_division(Y,right_division(identity,right_division(Z,X))),
% right_division(identity,X)) collapsed.
% Rule
% [241]
% 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(identity,Z)))
% ->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(X,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(identity,Y))))
% collapsed.
% Rule
% [243]
% right_division(identity,left_division(Y,right_division(identity,left_division(X,Y))))
% <->
% right_division(right_division(identity,left_division(X,right_division(identity,
% left_division(X,Y)))),
% right_division(identity,left_division(X,Y))) collapsed.
% Rule
% [244]
% right_division(right_division(identity,left_division(X,right_division(identity,
% left_division(X,Y)))),
% right_division(identity,left_division(X,Y))) <->
% right_division(identity,left_division(Y,right_division(identity,left_division(X,Y))))
% collapsed.
% Rule
% [246]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(left_division(X,right_division(Y,right_division(identity,Z))),
% right_division(identity,X))) -> right_division(X,right_division(identity,X))
% collapsed.
% Rule
% [249]
% left_division(left_division(X,right_division(Y,right_division(identity,
% right_division(X,Y)))),
% left_division(X,right_division(Y,right_division(identity,right_division(
% right_division(X,Y),
% right_division(identity,X))))))
% -> X collapsed.
% Rule
% [250]
% right_division(identity,right_division(right_division(right_division(identity,
% right_division(
% left_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))),
% right_division(identity,right_division(
% right_division(
% left_division(Y,X),
% right_division(identity,Y)),
% right_division(X,
% right_division(identity,
% right_division(
% left_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))),
% right_division(identity,right_division(X,right_division(identity,
% right_division(
% left_division(Y,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))))))
% -> X collapsed.
% Rule
% [251]
% left_division(left_division(X,right_division(left_division(Y,X),right_division(identity,Y))),
% left_division(X,right_division(left_division(Y,X),right_division(identity,
% right_division(Y,right_division(identity,X))))))
% -> X collapsed.
% Rule
% [261]
% left_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,
% right_division(Z,X))))
% ->
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,Y)))))
% collapsed.
% Rule
% [266]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(left_division(X,
% right_division(Y,
% right_division(identity,
% right_division(Z,X)))),
% right_division(identity,X))) ->
% right_division(X,right_division(identity,X)) collapsed.
% Rule
% [268]
% right_division(X,right_division(right_division(identity,left_division(Y,
% right_division(identity,
% left_division(Y,X)))),
% right_division(identity,left_division(Y,X)))) ->
% right_division(identity,left_division(Y,X)) collapsed.
% Rule
% [271]
% right_division(identity,left_division(X,left_division(X,left_division(X,
% left_division(X,Y)))))
% <->
% right_division(right_division(identity,left_division(Y,left_division(X,
% left_division(X,Y)))),
% left_division(X,left_division(X,Y))) collapsed.
% Rule
% [272]
% right_division(right_division(identity,left_division(Y,left_division(X,
% left_division(X,Y)))),
% left_division(X,left_division(X,Y))) <->
% right_division(identity,left_division(X,left_division(X,left_division(X,
% left_division(X,Y)))))
% collapsed.
% Rule
% [273]
% right_division(X,left_division(Y,left_division(Y,left_division(Y,left_division(Y,X)))))
% ->
% right_division(Y,right_division(identity,right_division(Y,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [277]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))),
% left_division(X,Y)) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% collapsed.
% Rule
% [278]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% left_division(X,left_division(X,Y))) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% collapsed.
% Rule
% [281]
% right_division(right_division(X,left_division(Y,Z)),left_division(Z,Y)) -> X
% collapsed.
% Rule
% [282]
% right_division(identity,left_division(X,left_division(X,Y))) ->
% right_division(right_division(identity,Y),right_division(identity,right_division(X,
% right_division(identity,X))))
% collapsed.
% Rule
% [284]
% right_division(right_division(X,Y),right_division(right_division(identity,
% left_division(X,Y)),Y)) ->
% Y collapsed.
% Rule
% [286]
% left_division(X,left_division(X,Y)) ->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,X)))))
% collapsed.
% Rule
% [287]
% right_division(X,left_division(Y,right_division(identity,left_division(X,Y))))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [289]
% right_division(right_division(X,Y),left_division(X,right_division(identity,Y)))
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [291]
% right_division(left_division(X,Y),right_division(identity,left_division(Y,X)))
% -> identity collapsed.
% Rule
% [294]
% left_division(right_division(left_division(X,Y),left_division(Y,X)),Z) ->
% left_division(left_division(X,Y),left_division(left_division(X,Y),Z))
% collapsed.
% Rule
% [295]
% right_division(left_division(X,Y),right_division(left_division(X,Y),left_division(Y,X)))
% -> right_division(identity,left_division(X,Y)) collapsed.
% Rule
% [297]
% left_division(right_division(identity,X),right_division(Y,X)) ->
% right_division(left_division(right_division(identity,X),Y),X) collapsed.
% Rule
% [298]
% 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
% [299]
% 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
% [301]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% left_division(Y,X),
% right_division(identity,Y)))
% -> Y collapsed.
% Rule
% [302]
% left_division(left_division(X,Y),left_division(Y,X)) ->
% right_division(identity,right_division(left_division(X,Y),right_division(identity,
% left_division(X,Y))))
% collapsed.
% Rule
% [303]
% right_division(identity,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X))))
% <-> right_division(left_division(X,Y),left_division(Y,X)) collapsed.
% Rule
% [304]
% right_division(left_division(X,Y),left_division(Y,X)) <->
% right_division(identity,right_division(left_division(Y,X),right_division(identity,
% left_division(Y,X))))
% collapsed.
% Rule
% [306]
% right_division(left_division(X,Y),X) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,X)))
% collapsed.
% Rule
% [307]
% right_division(X,right_division(identity,right_division(right_division(identity,
% left_division(Y,X)),X)))
% -> right_division(Y,X) collapsed.
% Rule
% [313]
% right_division(right_division(X,left_division(Y,Z)),left_division(X,left_division(Z,Y)))
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [314]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% left_division(Y,X)))
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [323]
% left_division(left_division(X,Y),right_division(Z,left_division(Y,X))) ->
% right_division(left_division(left_division(X,Y),Z),right_division(identity,
% left_division(X,Y)))
% collapsed.
% Rule
% [325]
% left_division(Y,left_division(Y,X)) ->
% right_division(identity,right_division(right_division(right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,left_division(Y,X))),
% left_division(Y,X))) collapsed.
% Rule
% [326]
% right_division(identity,left_division(X,right_division(identity,left_division(Y,X))))
% ->
% right_division(right_division(right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(identity,left_division(X,Y))),left_division(X,Y))
% collapsed.
% Rule
% [332]
% right_division(right_division(X,right_division(identity,right_division(X,
% left_division(Y,Z)))),
% left_division(Z,Y)) -> right_division(X,right_division(identity,X))
% collapsed.
% Rule
% [334]
% right_division(identity,left_division(right_division(identity,X),left_division(
% right_division(identity,X),Y)))
% <->
% left_division(Y,right_division(identity,right_division(X,right_division(identity,X))))
% collapsed.
% Rule
% [335]
% left_division(Y,right_division(identity,right_division(X,right_division(identity,X))))
% <->
% right_division(identity,left_division(right_division(identity,X),left_division(
% right_division(identity,X),Y)))
% collapsed.
% Rule
% [336]
% right_division(identity,left_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% <->
% left_division(right_division(identity,Y),left_division(right_division(identity,Y),X))
% collapsed.
% Rule
% [337]
% left_division(right_division(identity,Y),left_division(right_division(identity,Y),X))
% <->
% right_division(identity,left_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% collapsed.
% Rule
% [338]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,
% left_division(X,Y)),
% right_division(identity,Y)))
% -> Y collapsed.
% Rule
% [343]
% 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
% [346]
% right_division(X,right_division(identity,right_division(right_division(identity,
% left_division(Y,X)),
% right_division(identity,X)))) ->
% right_division(Y,right_division(identity,X)) collapsed.
% Rule
% [347]
% right_division(Y,right_division(identity,right_division(left_division(Y,X),Z)))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(Z,
% right_division(identity,Y)))
% collapsed.
% Rule
% [349]
% right_division(X,right_division(identity,right_division(left_division(Z,Y),
% right_division(identity,X)))) <->
% right_division(right_division(X,left_division(Y,Z)),right_division(identity,X))
% collapsed.
% Rule
% [350]
% right_division(right_division(X,left_division(Y,Z)),right_division(identity,X))
% <->
% right_division(X,right_division(identity,right_division(left_division(Z,Y),
% right_division(identity,X))))
% collapsed.
% Rule
% [353]
% left_division(X,right_division(Y,right_division(identity,Y))) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% collapsed.
% Rule
% [355]
% right_division(X,right_division(identity,right_division(right_division(identity,
% left_division(Y,X)),
% right_division(identity,Y)))) ->
% right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [357]
% right_division(X,right_division(right_division(identity,Y),right_division(identity,
% left_division(Y,X))))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [358]
% right_division(identity,left_division(X,left_division(Y,X))) ->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,left_division(Y,X))) collapsed.
% Rule
% [359]
% right_division(right_division(identity,left_division(right_division(X,Y),
% right_division(identity,Y))),right_division(identity,Y))
% -> right_division(identity,left_division(X,right_division(identity,Y)))
% collapsed.
% Rule
% [360]
% right_division(right_division(right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y)))),
% right_division(identity,left_division(Y,X))),right_division(identity,
% left_division(X,Y)))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% collapsed.
% Rule
% [361]
% right_division(right_division(identity,left_division(X,right_division(identity,
% left_division(X,Y)))),
% left_division(Y,X)) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% collapsed.
% Rule
% [362]
% right_division(left_division(X,right_division(Y,right_division(identity,
% right_division(Y,X)))),
% right_division(identity,X)) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,
% right_division(identity,Y))))
% collapsed.
% Current number of equations to process: 2285
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [364]
% right_division(X,right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% -> Y
% Current number of equations to process: 2284
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [365]
% right_division(X,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% -> Y
% Current number of equations to process: 2283
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [366]
% right_division(X,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(X,right_division(identity,X)))))
% -> right_division(identity,Y)
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [367]
% right_division(X,right_division(right_division(identity,right_division(
% right_division(X,Y),
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(X,Y))))))),
% right_division(identity,Y))) -> right_division(identity,Y)
% Current number of equations to process: 2281
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [368]
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(Y,right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [369]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% 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,Y)))))))))
% ->
% right_division(Y,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [370]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,Y)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,Y)))))
% Current number of equations to process: 2278
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [371]
% right_division(right_division(identity,X),right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,X)))))
% -> right_division(identity,right_division(Y,right_division(identity,X)))
% Current number of equations to process: 2277
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [372]
% right_division(X,right_division(right_division(identity,right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(X,Y))),
% right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,X)))))
% -> right_division(identity,X)
% Current number of equations to process: 2276
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [373]
% 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: 2632
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [374]
% right_division(right_division(X,Y),Y) ->
% right_division(X,right_division(Y,right_division(identity,Y)))
% Rule
% [57]
% right_division(right_division(identity,X),X) ->
% right_division(identity,right_division(X,right_division(identity,X)))
% collapsed.
% Rule
% [321]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Y))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% collapsed.
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [375]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),Y)
% -> right_division(X,right_division(identity,Y))
% Rule
% [263]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))),X)))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Current number of equations to process: 2929
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [376]
% 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: 2980
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [377]
% 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: 2980
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [378]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(identity,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% Current number of equations to process: 2978
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [379]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))),
% right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y)))))),
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 2978
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [380]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,Y)))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [381]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% 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,Y)))))))))),
% right_division(identity,Y)))) ->
% right_division(Y,right_division(identity,right_division(Z,right_division(identity,Y))))
% Current number of equations to process: 2974
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [382]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(right_division(X,right_division(right_division(identity,
% right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(identity,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% Current number of equations to process: 2973
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [383]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(identity,right_division(X,right_division(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,X))))))))))
% Current number of equations to process: 2972
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [384]
% right_division(X,right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,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(X,Y)))))
% Current number of equations to process: 2971
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [385]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(X,right_division(
% 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,X))))))))))),
% right_division(identity,Y)),right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(
% 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,X))))))))),
% right_division(identity,X))))
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [386]
% right_division(X,right_division(right_division(identity,right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,X)))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,Y))))
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [387]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Z),X)))),Z)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 2968
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [388]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,X))),
% right_division(Z,X)) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,Z)))
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [389]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(X,Y))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(X,Y))))
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [390]
% right_division(right_division(identity,right_division(Y,right_division(
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(
% 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,X))))))))))),
% right_division(right_division(Y,right_division(right_division(identity,
% right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(Y,
% right_division(identity,Y)))))))))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 2965
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [391]
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% -> right_division(Y,right_division(identity,Y))
% Current number of equations to process: 2964
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [392]
% right_division(right_division(right_division(right_division(identity,X),Y),X),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),Y)))))
% Current number of equations to process: 2963
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [393]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,X))),
% right_division(identity,Y))
% Rule
% [382]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(right_division(X,right_division(right_division(identity,
% right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(identity,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [390]
% right_division(right_division(identity,right_division(Y,right_division(
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(
% 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,X))))))))))),
% right_division(right_division(Y,right_division(right_division(identity,
% right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(Y,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(Y,
% right_division(identity,Y)))))))))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))))
% collapsed.
% Current number of equations to process: 2964
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [394]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,X))),
% right_division(identity,Y)) <->
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))
% Current number of equations to process: 2964
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [395]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))
% Current number of equations to process: 2963
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [396]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(Y,X)))),
% right_division(identity,right_division(Y,X))) ->
% right_division(X,right_division(identity,Y))
% Current number of equations to process: 2962
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [397]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,Y))))),
% right_division(X,Y)) -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 2960
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [398]
% 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: 2959
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [399]
% right_division(right_division(X,right_division(Y,right_division(X,right_division(identity,X)))),
% right_division(identity,right_division(Y,X))) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 2958
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [400]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),X))),Y)
% ->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Y)))
% Current number of equations to process: 3034
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [401]
% right_division(X,right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Y,X)))))
% -> X
% Current number of equations to process: 4932
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [402]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))
% -> Z
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [403]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),X)
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,X)))))
% Rule
% [242]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),X) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,X)))))
% collapsed.
% Current number of equations to process: 4929
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [404]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,Y))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),X))))
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [405]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(X,Y))))
% -> right_division(Y,right_division(X,Y))
% Current number of equations to process: 2675
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [406]
% right_division(X,right_division(identity,right_division(X,right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,X))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [407]
% right_division(right_division(right_division(identity,right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(Y,right_division(identity,X)))),X)
% ->
% right_division(right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,Y))
% Current number of equations to process: 3907
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [408]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(
% 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,X)))))))))))),
% right_division(right_division(Y,right_division(right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(
% 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,X))))))))),
% right_division(right_division(identity,
% right_division(X,
% right_division(
% 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,X)))))))))),X))))))
% ->
% right_division(X,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 3903
% Current number of ordered equations: 2
% Current number of rules: 159
% New rule produced :
% [409]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(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(Y,
% right_division(identity,Y))))))))))),
% right_division(right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),X))),
% right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% ->
% right_division(Y,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))
% Current number of equations to process: 3903
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [410]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(Y,right_division(right_division(identity,
% right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(right_division(X,right_division(right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(X,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 3903
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [411]
% right_division(right_division(identity,right_division(X,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(right_division(X,Y),right_division(Y,right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(X,Y)))))),
% right_division(right_division(X,right_division(Y,right_division(identity,
% right_division(X,right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))
% -> right_division(identity,Y)
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [412]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(identity,Z),
% right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))),
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(right_division(identity,right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))),
% right_division(right_division(identity,Z),right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% Current number of equations to process: 3901
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [413]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(right_division(identity,Z),
% right_division(identity,right_division(
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))),
% right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(Z,right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [414]
% right_division(right_division(X,right_division(Y,right_division(right_division(identity,Z),
% right_division(identity,
% right_division(Y,right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(Y,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(Z,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,
% right_division(identity,Z))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))))
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [415]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))),
% right_division(identity,Z)),right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(Z,right_division(identity,right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))
% Current number of equations to process: 3898
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [416]
% 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(X,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% Current number of equations to process: 3897
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [417]
% right_division(right_division(right_division(right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),Z),
% right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y)))))),Z)
% ->
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(identity,Z),right_division(identity,
% right_division(
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),Z)))))
% Current number of equations to process: 3896
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [418]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(X,
% right_division(identity,X)))),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),X))))
% Current number of equations to process: 3894
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [419]
% right_division(right_division(right_division(identity,X),Y),right_division(identity,
% right_division(
% right_division(Y,X),Y)))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),Y)))
% Current number of equations to process: 3892
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [420]
% 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(
% right_division(identity,Y),X))))
% Current number of equations to process: 3891
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [421]
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),X))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% Rule
% [408]
% right_division(right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(
% 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,X)))))))))))),
% right_division(right_division(Y,right_division(right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(
% 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,X))))))))),
% right_division(right_division(identity,
% right_division(X,
% right_division(
% 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,X)))))))))),X))))))
% ->
% right_division(X,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,X)))))
% collapsed.
% Current number of equations to process: 3892
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [422]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Y)))
% <-> right_division(right_division(right_division(X,Y),X),Y)
% Current number of equations to process: 4653
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [423]
% right_division(right_division(right_division(X,Y),X),Y) <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Y)))
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [424]
% right_division(X,right_division(right_division(identity,Y),right_division(identity,X)))
% -> Y
% Rule
% [308]
% right_division(right_division(X,Y),right_division(right_division(identity,Y),
% right_division(identity,right_division(X,Y))))
% -> Y collapsed.
% Rule
% [402]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(X,
% right_division(identity,Y)))))
% -> Z collapsed.
% Current number of equations to process: 1644
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [425]
% right_division(X,right_division(Y,X)) <->
% right_division(X,right_division(identity,right_division(X,Y)))
% Current number of equations to process: 1654
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [426]
% right_division(X,right_division(identity,right_division(X,Y))) <->
% right_division(X,right_division(Y,X))
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [427]
% right_division(right_division(X,right_division(right_division(identity,Y),X)),Y)
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 1653
% Current number of ordered equations: 0
% Current number of rules: 175
% Rule [315]
% right_division(X,right_division(Y,right_division(identity,X))) <->
% right_division(X,right_division(identity,right_division(right_division(identity,X),Y))) is composed into
% [315]
% right_division(X,right_division(Y,right_division(identity,X))) <->
% right_division(identity,Y)
% New rule produced :
% [428]
% right_division(X,right_division(identity,right_division(right_division(identity,X),Y)))
% -> right_division(identity,Y)
% Rule
% [311]
% right_division(X,right_division(identity,right_division(right_division(identity,X),
% right_division(identity,Y)))) -> Y
% collapsed.
% Rule
% [316]
% right_division(X,right_division(identity,right_division(right_division(identity,X),Y)))
% <-> right_division(X,right_division(Y,right_division(identity,X))) collapsed.
% Current number of equations to process: 1824
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [429]
% right_division(right_division(identity,X),right_division(identity,right_division(X,Y)))
% -> right_division(identity,Y)
% Rule
% [312]
% right_division(right_division(identity,Y),right_division(identity,right_division(Y,
% right_division(identity,X))))
% -> X collapsed.
% Rule
% [371]
% right_division(right_division(identity,X),right_division(identity,right_division(X,
% right_division(Y,
% right_division(identity,X)))))
% -> right_division(identity,right_division(Y,right_division(identity,X)))
% collapsed.
% Rule
% [372]
% right_division(X,right_division(right_division(identity,right_division(
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(X,Y))),
% right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,X)))))
% -> right_division(identity,X) collapsed.
% Current number of equations to process: 1827
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [430]
% right_division(X,right_division(Y,X)) <->
% right_division(identity,right_division(Y,right_division(X,right_division(identity,X))))
% Current number of equations to process: 1827
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [431]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,X))))
% <-> right_division(X,right_division(Y,X))
% Current number of equations to process: 1827
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [432]
% right_division(right_division(identity,X),right_division(Y,X)) ->
% right_division(identity,Y)
% Current number of equations to process: 1832
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [433]
% right_division(X,right_division(Y,right_division(identity,Y))) <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,X))))
% Rule
% [145]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),
% right_division(X,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,X)))))))
% collapsed.
% Rule
% [342]
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,
% right_division(identity,Y)))
% -> right_division(X,Y) collapsed.
% Rule
% [352]
% 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
% [379]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))),
% right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y)))))),
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))))
% collapsed.
% Rule
% [411]
% right_division(right_division(identity,right_division(X,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(right_division(X,Y),right_division(Y,right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(X,Y)))))),
% right_division(right_division(X,right_division(Y,right_division(identity,
% right_division(X,right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))
% -> right_division(identity,Y) collapsed.
% Rule
% [412]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(identity,Z),
% right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))),
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(right_division(identity,right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))),
% right_division(right_division(identity,Z),right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))))
% collapsed.
% Current number of equations to process: 1836
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [434]
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,X))))
% <-> right_division(X,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 1836
% Current number of ordered equations: 0
% Current number of rules: 171
% Rule [393]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X)))))))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,X))),
% right_division(identity,Y)) is composed into [393]
% right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,
% right_division(X,right_division(
% right_division(identity,Y),
% 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,
% right_division(Y,X)))))
% Rule [292]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),X)))
% <-> right_division(right_division(X,Y),X) is composed into [292]
% right_division(X,
% right_division(identity,
% right_division(
% right_division(identity,Y),X)))
% <->
% right_division(identity,
% right_division(X,
% right_division(X,Y)))
% Rule [234]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(X,Z),
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,Z))))),
% right_division(identity,X)))) is composed into
% [234]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(X,Z),
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(identity,right_division(
% right_division(identity,X),
% right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,Z)))))))))
% Rule [131]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))),
% right_division(identity,X)))) is composed into
% [131]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(identity,right_division(
% right_division(identity,X),
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))))
% Rule [91]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,X))),
% right_division(identity,X)))) is composed into
% [91]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(X,right_division(identity,right_division(identity,right_division(
% right_division(identity,X),
% right_division(Y,
% right_division(identity,
% right_division(Z,X)))))))
% New rule produced :
% [435] right_division(X,Y) <-> right_division(identity,right_division(Y,X))
% Rule [79] right_division(right_division(X,right_division(identity,Y)),Y) -> X
% collapsed.
% Rule
% [86]
% right_division(right_division(X,right_division(identity,Y)),X) ->
% right_division(X,right_division(identity,right_division(Y,X))) collapsed.
% Rule
% [90]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,X))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% collapsed.
% Rule
% [100]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(Y,X),
% right_division(identity,Y)))),Y)
% -> right_division(X,right_division(identity,right_division(Y,X))) collapsed.
% Rule
% [103]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(Z,X)))),
% right_division(identity,Z)) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Rule
% [106]
% 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
% [117]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Y,
% right_division(identity,X)))))),
% right_division(Y,right_division(identity,X))) ->
% right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [128]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,right_division(Z,right_division(identity,X)))),
% right_division(identity,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,X))))))
% collapsed.
% Rule
% [130]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,
% right_division(Z,
% right_division(identity,X))))))
% collapsed.
% Rule
% [138]
% 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
% [147]
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Y)
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% collapsed.
% Rule
% [159]
% right_division(right_division(right_division(X,right_division(identity,Y)),
% right_division(identity,Z)),right_division(right_division(Y,
% right_division(identity,
% right_division(Z,X))),
% right_division(identity,X))) -> X
% collapsed.
% Rule
% [168]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,
% right_division(X,
% 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(X,
% right_division(identity,X))))))
% collapsed.
% Rule
% [191]
% right_division(right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(Y,
% right_division(identity,X)),
% right_division(X,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(identity,Y)))) -> X
% collapsed.
% Rule
% [201]
% right_division(right_division(Y,right_division(X,right_division(identity,X))),
% right_division(identity,X)) -> right_division(Y,X) collapsed.
% Rule
% [218]
% right_division(right_division(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,
% right_division(X,
% right_division(identity,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,Y))))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Rule
% [223]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,Y)) ->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,Y))))
% collapsed.
% Rule
% [233]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(X,Z))))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(
% right_division(X,Z),
% right_division(identity,X))))))
% collapsed.
% Rule
% [248]
% right_division(right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,Y)))),
% right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,X)))),
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))),
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,Y)))))))
% -> X collapsed.
% Rule
% [260]
% right_division(right_division(right_division(X,Y),right_division(identity,
% right_division(Z,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(X,Y)))))
% ->
% right_division(right_division(X,Y),right_division(identity,right_division(Z,
% right_division(identity,
% right_division(X,Y)))))
% collapsed.
% Rule
% [265]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,Z)))),
% right_division(right_division(Y,right_division(identity,right_division(Z,X))),
% right_division(identity,X))) -> right_division(X,right_division(identity,X))
% collapsed.
% Rule
% [288]
% right_division(right_division(right_division(X,Y),X),right_division(right_division(identity,Y),X))
% -> X collapsed.
% Rule
% [293]
% right_division(right_division(X,Y),X) <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),X)))
% collapsed.
% Rule
% [339]
% right_division(right_division(identity,right_division(Y,X)),right_division(identity,Y))
% -> X collapsed.
% Rule
% [348]
% 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
% [367]
% right_division(X,right_division(right_division(identity,right_division(
% right_division(X,Y),
% right_division(Y,
% right_division(identity,
% right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(X,Y))))))),
% right_division(identity,Y))) -> right_division(identity,Y)
% collapsed.
% Rule
% [374]
% right_division(right_division(X,Y),Y) ->
% right_division(X,right_division(Y,right_division(identity,Y))) collapsed.
% Rule
% [375]
% 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
% [380]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,Y)))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [381]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% 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,Y)))))))))),
% right_division(identity,Y)))) ->
% right_division(Y,right_division(identity,right_division(Z,right_division(identity,Y))))
% collapsed.
% Rule
% [383]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(identity,right_division(X,right_division(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,X))))))))))
% collapsed.
% Rule
% [385]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(X,right_division(
% 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,X))))))))))),
% right_division(identity,Y)),right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% ->
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(
% 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,X))))))))),
% right_division(identity,X))))
% collapsed.
% Rule
% [386]
% right_division(X,right_division(right_division(identity,right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(identity,X)))))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,Y))))
% collapsed.
% Rule
% [387]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Z),X)))),Z)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Rule
% [391]
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% -> right_division(Y,right_division(identity,Y)) collapsed.
% Rule
% [392]
% right_division(right_division(right_division(right_division(identity,X),Y),X),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),Y)))))
% collapsed.
% Rule
% [394]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,X))),
% right_division(identity,Y)) <->
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))
% collapsed.
% Rule
% [396]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(Y,X)))),
% right_division(identity,right_division(Y,X))) ->
% right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [397]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,Y))))),
% right_division(X,Y)) -> right_division(X,right_division(identity,Y))
% collapsed.
% Rule
% [400]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(identity,Y),X))),Y)
% ->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Y)))
% collapsed.
% Rule
% [403]
% right_division(right_division(right_division(X,Y),right_division(identity,Z)),X)
% ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,X)))))
% collapsed.
% Rule
% [407]
% right_division(right_division(right_division(identity,right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(Y,right_division(identity,X)))),X)
% ->
% right_division(right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,Y)) collapsed.
% Rule
% [409]
% right_division(identity,right_division(right_division(identity,right_division(X,
% right_division(
% right_division(identity,
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(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(Y,
% right_division(identity,Y))))))))))),
% right_division(right_division(right_division(identity,X),
% right_division(identity,right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),X))),
% right_division(identity,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))))
% ->
% right_division(Y,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))
% collapsed.
% Rule
% [410]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(right_division(Y,right_division(right_division(identity,
% right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(right_division(X,right_division(right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(Y,
% right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(X,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,X)))))
% collapsed.
% Rule
% [413]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(right_division(identity,Z),
% right_division(identity,right_division(
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))),
% right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(Z,right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% collapsed.
% Rule
% [415]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))),
% right_division(identity,Z)),right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% ->
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(Z,right_division(identity,right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))
% collapsed.
% Rule
% [417]
% right_division(right_division(right_division(right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),Z),
% right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y)))))),Z)
% ->
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(identity,Z),right_division(identity,
% right_division(
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),Z)))))
% collapsed.
% Rule
% [419]
% right_division(right_division(right_division(identity,X),Y),right_division(identity,
% right_division(
% right_division(Y,X),Y)))
% ->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,X),Y)))
% collapsed.
% Rule
% [421]
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),X))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [422]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Y)))
% <-> right_division(right_division(right_division(X,Y),X),Y) collapsed.
% Rule
% [423]
% right_division(right_division(right_division(X,Y),X),Y) <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Y)))
% collapsed.
% Rule
% [425]
% right_division(X,right_division(Y,X)) <->
% right_division(X,right_division(identity,right_division(X,Y))) collapsed.
% Rule
% [427]
% right_division(right_division(X,right_division(right_division(identity,Y),X)),Y)
% -> right_division(X,right_division(identity,X)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% right_division(right_division(a,right_division(identity,b)),right_division(
% right_division(identity,
% right_division(a,
% right_division(identity,b))),
% right_division(c,
% right_division(identity,
% right_division(b,
% right_division(a,
% right_division(identity,b))))))) =
% right_division(a,right_division(identity,right_division(b,right_division(identity,
% right_division(c,
% right_division(identity,b))))))
%
% Current number of equations to process: 1881
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [436]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,Y))))
% -> X
% Rule
% [319]
% right_division(X,right_division(identity,right_division(X,right_division(Y,
% right_division(identity,X)))))
% -> right_division(X,Y) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% right_division(right_division(a,right_division(identity,b)),right_division(identity,
% right_division(
% right_division(c,a),
% right_division(identity,
% right_division(a,
% right_division(identity,b)))))) =
% right_division(a,right_division(identity,right_division(b,right_division(identity,
% right_division(c,
% right_division(identity,b))))))
%
% Current number of equations to process: 1880
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [437]
% right_division(X,right_division(Y,right_division(identity,Y))) <->
% right_division(identity,right_division(Y,right_division(X,Y)))
% Current number of equations to process: 1879
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [438]
% 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: 1879
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [439]
% 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: 1878
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [440]
% 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: 1878
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [441]
% 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: 1876
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [442]
% right_division(identity,right_division(Y,right_division(X,right_division(
% right_division(identity,Y),X))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 1875
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [443]
% right_division(identity,right_division(right_division(identity,X),right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% -> right_division(Y,X)
% Rule
% [418]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(identity,
% right_division(
% right_division(identity,Y),
% right_division(X,
% right_division(identity,X)))),
% right_division(identity,
% right_division(
% right_division(identity,X),
% right_division(
% right_division(identity,Y),
% right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),X))))
% collapsed.
% Current number of equations to process: 1875
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [444]
% 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: 1874
% Current number of ordered equations: 0
% Current number of rules: 126
% Rule [395]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))))) is composed into
% [395]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,X))))
% Rule [376]
% 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))) is composed into
% [376]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,Y)))))
% <->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X))))
% New rule produced :
% [445]
% right_division(right_division(X,Y),right_division(identity,right_division(X,Y)))
% ->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X))))
% Rule
% [368]
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))
% ->
% right_division(Y,right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% collapsed.
% Rule
% [369]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% 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,Y)))))))))
% ->
% right_division(Y,right_division(right_division(identity,X),right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))
% collapsed.
% Rule
% [377]
% 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)))))
% collapsed.
% Rule
% [389]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(X,Y))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(X,Y))))
% collapsed.
% Rule
% [393]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% 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,
% right_division(Y,X)))))
% collapsed.
% Rule
% [404]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(X,
% right_division(identity,Y))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),X))))
% collapsed.
% Current number of equations to process: 1879
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [446]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(X,Y)))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 1878
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [447]
% 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
% [376]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% 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
% [388]
% right_division(right_division(right_division(identity,X),right_division(identity,
% right_division(Y,X))),
% right_division(Z,X)) ->
% right_division(right_division(identity,X),right_division(identity,right_division(Y,Z)))
% collapsed.
% Rule
% [405]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(X,Y))))
% -> right_division(Y,right_division(X,Y)) collapsed.
% Current number of equations to process: 1879
% Current number of ordered equations: 0
% Current number of rules: 120
% Rule [414]
% right_division(right_division(X,right_division(Y,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(Y,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(Z,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(Z,right_division(identity,Z))))))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))) is composed into
% [414]
% right_division(right_division(X,right_division(Y,right_division(right_division(identity,Z),
% right_division(identity,
% right_division(Y,right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(Y,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(Z,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,
% right_division(identity,Z))))))))
% ->
% right_division(X,right_division(right_division(identity,Z),right_division(identity,Y)))
% New rule produced :
% [448]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))
% -> right_division(X,right_division(identity,Y))
% Rule
% [364]
% right_division(X,right_division(identity,right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))
% -> Y collapsed.
% Rule
% [378]
% right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))),
% right_division(right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))),
% right_division(identity,right_division(X,right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X))))))))
% ->
% right_division(identity,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% collapsed.
% Current number of equations to process: 1879
% Current number of ordered equations: 0
% Current number of rules: 119
% Rule [395]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),
% right_division(identity,X)))) is composed into
% [395]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(right_division(identity,right_division(identity,X)),
% right_division(right_division(identity,X),right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))))
% New rule produced :
% [449]
% 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: 1908
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [450]
% 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: 1908
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [451]
% 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)))
% Rule
% [322]
% 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: 1926
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [452]
% 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)))))
% The conjecture has been reduced.
% Conjecture is now:
% right_division(right_division(a,right_division(identity,b)),right_division(identity,
% right_division(
% right_division(c,a),
% right_division(identity,
% right_division(a,
% right_division(identity,b)))))) =
% right_division(a,right_division(identity,right_division(b,right_division(c,
% right_division(c,
% right_division(identity,
% right_division(b,
% right_division(identity,c))))))))
%
% Current number of equations to process: 1926
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [453]
% 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: 1948
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [454]
% 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: 1947
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [455]
% 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: 2050
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [456]
% 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: 2050
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [457]
% 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: 2052
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [458]
% right_division(right_division(identity,Y),right_division(Y,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% -> X
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [459]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(Y,
% right_division(identity,X)))))
% -> right_division(X,right_division(Y,right_division(identity,X)))
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [460]
% 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: 2059
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [461]
% 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: 2249
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [462]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(Z,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),Z)
% Current number of equations to process: 2324
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [463]
% right_division(right_division(X,right_division(identity,Y)),Z) <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(Z,X))))
% Current number of equations to process: 2324
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [464]
% 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
% [139]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,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,
% right_division(X,
% right_division(identity,X))))))))
% collapsed.
% Rule
% [155]
% right_division(right_division(X,right_division(identity,right_division(Y,X))),
% right_division(identity,right_division(X,right_division(identity,X)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Rule
% [366]
% right_division(X,right_division(right_division(identity,right_division(X,Y)),
% right_division(identity,right_division(X,right_division(identity,X)))))
% -> right_division(identity,Y) collapsed.
% Rule
% [384]
% right_division(X,right_division(right_division(identity,right_division(Y,
% right_division(identity,
% right_division(X,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(X,Y)))))
% collapsed.
% Current number of equations to process: 2603
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [465]
% 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))))
% Current number of equations to process: 2603
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [466]
% right_division(right_division(X,right_division(identity,Y)),right_division(Y,X))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(Y,X))))
% Current number of equations to process: 2725
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [467]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Z)))
% <->
% right_division(right_division(X,Y),right_division(Z,right_division(identity,X)))
% Current number of equations to process: 2749
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [468]
% right_division(right_division(X,Y),right_division(Z,right_division(identity,X)))
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Z)))
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [469]
% 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))
% Current number of equations to process: 2952
% Current number of ordered equations: 1
% Current number of rules: 135
% Rule [395]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,Y),
% right_division(identity,right_division(X,
% right_division(identity,X)))),
% right_division(right_division(identity,right_division(identity,X)),
% right_division(right_division(identity,X),
% right_division(right_division(identity,X),
% right_division(identity,right_division(X,
% right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X))))))))))) is composed into
% [395]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,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,
% right_division(identity,X)),
% right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))))))
% New rule produced :
% [470]
% 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))))
% Current number of equations to process: 2952
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [471]
% right_division(right_division(right_division(identity,X),right_division(X,
% right_division(identity,Y))),
% right_division(right_division(identity,Y),X)) -> right_division(identity,X)
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [472]
% right_division(right_division(identity,X),right_division(X,right_division(identity,Y)))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),Y)))
% Rule
% [471]
% right_division(right_division(right_division(identity,X),right_division(X,
% right_division(identity,Y))),
% right_division(right_division(identity,Y),X)) -> right_division(identity,X)
% collapsed.
% Current number of equations to process: 2995
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [473]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(identity,X),Y))),
% right_division(right_division(identity,Y),X)) -> right_division(identity,X)
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [474]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Z,X)))) <->
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Z)
% Current number of equations to process: 3082
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [475]
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Z)
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Z,X))))
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [476]
% 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: 3092
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [477]
% right_division(X,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% <-> right_division(identity,right_division(X,Y))
% Current number of equations to process: 3248
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [478]
% right_division(identity,right_division(X,Y)) <->
% right_division(X,right_division(X,right_division(identity,right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% Current number of equations to process: 3248
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [479]
% right_division(right_division(X,Y),right_division(right_division(identity,X),Y))
% -> right_division(X,right_division(identity,X))
% Rule
% [356]
% right_division(right_division(X,right_division(identity,Y)),right_division(
% right_division(identity,X),
% right_division(identity,Y)))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [480]
% right_division(right_division(X,right_division(X,right_division(X,Y))),
% right_division(right_division(identity,Y),X)) ->
% right_division(X,right_division(identity,X))
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [481]
% 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: 3436
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [482]
% 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: 3436
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [483]
% 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: 3433
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [484]
% 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: 3431
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [485]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(Z,
% right_division(X,Y)))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,Y))),Z)
% Current number of equations to process: 3429
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [486]
% right_division(right_division(X,right_division(identity,right_division(X,Y))),Z)
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(Z,
% right_division(X,Y)))))
% Current number of equations to process: 3429
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [487]
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% <->
% right_division(right_division(X,right_division(X,Y)),right_division(identity,Y))
% Current number of equations to process: 3428
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [488]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,Y))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [489]
% right_division(X,right_division(Y,right_division(identity,right_division(X,Z))))
% <->
% right_division(right_division(X,Z),right_division(identity,right_division(
% right_division(Z,
% right_division(X,Z)),Y)))
% Current number of equations to process: 3427
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [490]
% right_division(right_division(X,Z),right_division(identity,right_division(
% right_division(Z,
% right_division(X,Z)),Y)))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(X,Z))))
% Current number of equations to process: 3427
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [491]
% right_division(right_division(right_division(X,Y),right_division(identity,X)),
% right_division(Z,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),Z)))
% Rule
% [341]
% right_division(right_division(right_division(X,Y),right_division(identity,X)),
% right_division(right_division(identity,Y),right_division(identity,X))) -> X
% collapsed.
% Current number of equations to process: 3426
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [492]
% right_division(right_division(X,Y),right_division(right_division(identity,Y),
% right_division(Y,X))) -> Y
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [493]
% 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: 3436
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [494]
% right_division(X,right_division(right_division(identity,Y),right_division(
% right_division(identity,X),
% right_division(Y,
% right_division(identity,Y)))))
% -> right_division(identity,Y)
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [495]
% 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,Y)))
% Current number of equations to process: 3436
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [496]
% right_division(identity,right_division(right_division(identity,X),right_division(X,Y)))
% <->
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [497]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(Y,
% right_division(X,Y)))))
% -> right_division(X,right_division(Y,right_division(X,Y)))
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [498]
% 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: 3750
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [499]
% 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: 3750
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [500]
% 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: 3759
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [501]
% 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: 3759
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [502]
% right_division(X,right_division(right_division(identity,X),right_division(X,
% right_division(X,Y))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,Y))))
% Current number of equations to process: 3761
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [503]
% 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: 3767
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [504]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(X,
% right_division(identity,Y)),Z)))
% <->
% right_division(right_division(identity,right_division(X,Y)),right_division(Z,X))
% Current number of equations to process: 3766
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [505]
% right_division(right_division(identity,right_division(X,Y)),right_division(Z,X))
% <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(X,
% right_division(identity,Y)),Z)))
% Current number of equations to process: 3766
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [506]
% right_division(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(X,
% right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 3787
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [507]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(Y,X)))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,Y))))
% Current number of equations to process: 3787
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [508]
% right_division(identity,right_division(Y,right_division(X,right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Y))))))
% -> right_division(X,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [509]
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X)))) <->
% right_division(X,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X))))
% Current number of equations to process: 3785
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [510]
% right_division(X,right_division(Y,right_division(right_division(identity,Y),
% right_division(identity,X)))) <->
% right_division(identity,right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X))))
% Current number of equations to process: 3785
% Current number of ordered equations: 0
% Current number of rules: 173
% Rule [439]
% 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
% [439]
% right_division(X,right_division(identity,right_division(Y,X))) <->
% right_division(X,right_division(X,Y))
% New rule produced :
% [511]
% right_division(identity,right_division(X,right_division(X,right_division(identity,Y))))
% -> right_division(X,right_division(X,Y))
% Rule
% [416]
% 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(X,
% right_division(identity,X))))))))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% collapsed.
% Rule
% [440]
% 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
% [459]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(Y,
% right_division(identity,X)))))
% -> right_division(X,right_division(Y,right_division(identity,X))) collapsed.
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [512]
% right_division(right_division(X,Y),right_division(Y,right_division(Y,X))) ->
% right_division(X,right_division(Y,right_division(identity,X)))
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [513]
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y)))) <->
% right_division(Y,X)
% Current number of equations to process: 4112
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [514]
% right_division(Y,X) <->
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y))))
% Current number of equations to process: 4112
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [515]
% right_division(X,right_division(right_division(X,Y),right_division(identity,
% right_division(Y,X)))) ->
% X
% Rule
% [406]
% right_division(X,right_division(identity,right_division(X,right_division(
% right_division(X,Y),
% right_division(identity,
% right_division(Y,X))))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [516]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,X)))))
% <->
% right_division(identity,right_division(X,right_division(right_division(X,Y),
% right_division(identity,Z))))
% Current number of equations to process: 4358
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [517]
% right_division(identity,right_division(X,right_division(right_division(X,Y),
% right_division(identity,Z)))) <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,X)))))
% Current number of equations to process: 4358
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [518]
% right_division(X,right_division(Y,right_division(right_division(identity,Y),X)))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(X,
% right_division(X,Y)))))
% Current number of equations to process: 4357
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [519]
% right_division(identity,right_division(Y,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: 4357
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [520]
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Z)))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(Z,right_division(identity,Y)))
% Current number of equations to process: 4356
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [521]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(Z,right_division(identity,Y))) <->
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Z)))
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [522]
% 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: 4355
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [523]
% 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: 4354
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [524]
% right_division(X,right_division(Y,right_division(right_division(identity,Y),
% right_division(Z,right_division(identity,
% right_division(X,Y))))))
% -> right_division(identity,right_division(Y,right_division(identity,Z)))
% Current number of equations to process: 4353
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [525]
% right_division(right_division(X,right_division(Y,Z)),right_division(right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))),Y))
% -> right_division(identity,Z)
% Current number of equations to process: 4352
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [526]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(right_division(identity,X),right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 4351
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [527]
% right_division(X,right_division(right_division(identity,X),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: 4351
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [528]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(X,Y)),
% right_division(Z,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),Z)
% Current number of equations to process: 4350
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [529]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))),Z)
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(X,Y)),
% right_division(Z,X))))
% Current number of equations to process: 4350
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [530]
% right_division(X,right_division(Y,right_division(identity,right_division(Z,
% right_division(
% right_division(identity,X),Y)))))
% <->
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y)))))
% Current number of equations to process: 4349
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [531]
% right_division(identity,right_division(Y,right_division(identity,right_division(Z,
% right_division(identity,Y)))))
% <->
% right_division(X,right_division(Y,right_division(identity,right_division(Z,
% right_division(
% right_division(identity,X),Y)))))
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [532]
% right_division(right_division(right_division(X,Y),Z),right_division(right_division(Y,
% right_division(identity,X)),
% right_division(Z,
% right_division(identity,Y))))
% -> right_division(identity,Y)
% Current number of equations to process: 4348
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [533]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),Z)))
% <->
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(Z,X))
% Current number of equations to process: 4347
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [534]
% right_division(right_division(right_division(identity,X),right_division(identity,Y)),
% right_division(Z,X)) <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(Y,
% right_division(identity,X)),Z)))
% Current number of equations to process: 4347
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [535]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(Z,right_division(X,Z)))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(Z,
% right_division(identity,Z)))
% Current number of equations to process: 4346
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [536]
% right_division(right_division(X,right_division(identity,Y)),right_division(Z,
% right_division(identity,Z)))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(Z,right_division(X,Z)))))
% Current number of equations to process: 4346
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [537]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(right_division(identity,X),right_division(Y,
% right_division(X,
% right_division(X,Y)))))
% Current number of equations to process: 4344
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [538]
% right_division(X,right_division(right_division(identity,X),right_division(Y,
% right_division(X,
% right_division(X,Y)))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,Y)))))
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [539]
% right_division(right_division(X,Y),right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y))))))
% -> right_division(identity,right_division(X,right_division(identity,Y)))
% Current number of equations to process: 4343
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [540]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(X,right_division(X,Z)))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,Z)))
% Current number of equations to process: 4342
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [541]
% right_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(identity,Z)))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(X,right_division(X,Z)))))
% Current number of equations to process: 4342
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [542]
% right_division(right_division(X,right_division(X,Y)),right_division(X,
% right_division(identity,Y)))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(
% right_division(identity,X),Y)))
% Current number of equations to process: 4341
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [543]
% right_division(right_division(X,right_division(identity,Y)),right_division(X,
% right_division(
% right_division(identity,X),Y)))
% <->
% right_division(right_division(X,right_division(X,Y)),right_division(X,
% right_division(identity,Y)))
% Current number of equations to process: 4341
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [544]
% right_division(identity,right_division(right_division(identity,X),right_division(Y,
% right_division(identity,X))))
% <->
% right_division(right_division(Y,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 4340
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [545]
% right_division(right_division(Y,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% <->
% right_division(identity,right_division(right_division(identity,X),right_division(Y,
% right_division(identity,X))))
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [546]
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(X,Y)),
% right_division(Z,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),Z)
% Current number of equations to process: 4339
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [547]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,Y)))),Z)
% <->
% right_division(X,right_division(identity,right_division(right_division(X,
% right_division(X,Y)),
% right_division(Z,X))))
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [548]
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(X,Y),
% right_division(identity,X))))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(X,
% right_division(identity,Y))))
% Current number of equations to process: 4338
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [549]
% right_division(right_division(X,Y),right_division(identity,right_division(X,
% right_division(identity,Y))))
% <->
% right_division(identity,right_division(right_division(identity,Y),right_division(
% right_division(X,Y),
% right_division(identity,X))))
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [550]
% right_division(right_division(X,Y),right_division(X,right_division(Y,X))) ->
% right_division(identity,X)
% Current number of equations to process: 4779
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [551]
% right_division(right_division(X,right_division(Y,X)),right_division(Y,
% right_division(identity,
% right_division(X,Y))))
% -> right_division(X,Y)
% Current number of equations to process: 4825
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [552]
% right_division(Y,right_division(right_division(identity,Y),right_division(
% right_division(identity,Y),X)))
% <-> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 4824
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [553]
% right_division(right_division(identity,X),right_division(identity,Y)) <->
% right_division(Y,right_division(right_division(identity,Y),right_division(
% right_division(identity,Y),X)))
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [554]
% 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: 4899
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [555]
% 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: 4899
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [556]
% right_division(right_division(right_division(identity,X),Y),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% -> identity
% Current number of equations to process: 4903
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [557]
% right_division(X,right_division(right_division(identity,X),right_division(
% right_division(identity,X),
% right_division(X,Y))))
% -> Y
% Current number of equations to process: 4990
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [558]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,X)))
% -> identity
% Rule
% [401]
% right_division(X,right_division(identity,right_division(right_division(X,Y),
% right_division(identity,right_division(Y,X)))))
% -> X collapsed.
% Rule
% [515]
% right_division(X,right_division(right_division(X,Y),right_division(identity,
% right_division(Y,X)))) ->
% X collapsed.
% Rule
% [556]
% right_division(right_division(right_division(identity,X),Y),right_division(identity,
% right_division(Y,
% right_division(identity,X))))
% -> identity collapsed.
% Current number of equations to process: 2196
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [559]
% right_division(X,right_division(X,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(X,right_division(X,Y))))
% Current number of equations to process: 2200
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [560]
% right_division(identity,right_division(X,right_division(X,right_division(X,Y))))
% <-> right_division(X,right_division(X,right_division(Y,X)))
% Current number of equations to process: 2200
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [561]
% right_division(right_division(X,Y),right_division(X,right_division(Y,
% right_division(identity,Y))))
% -> right_division(X,right_division(X,Y))
% Rule
% [522]
% 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: 2212
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [562]
% right_division(X,right_division(X,right_division(X,Y))) <->
% right_division(identity,right_division(X,right_division(X,right_division(Y,X))))
% Current number of equations to process: 2344
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [563]
% right_division(identity,right_division(X,right_division(X,right_division(Y,X))))
% <-> right_division(X,right_division(X,right_division(X,Y)))
% Current number of equations to process: 2344
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [564]
% right_division(right_division(identity,X),right_division(Y,right_division(X,
% right_division(identity,X))))
% -> right_division(identity,right_division(Y,X))
% Rule
% [443]
% right_division(identity,right_division(right_division(identity,X),right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% -> right_division(Y,X) collapsed.
% Rule
% [494]
% right_division(X,right_division(right_division(identity,Y),right_division(
% right_division(identity,X),
% right_division(Y,
% right_division(identity,Y)))))
% -> right_division(identity,Y) collapsed.
% Current number of equations to process: 2346
% Current number of ordered equations: 0
% Current number of rules: 217
% Rule [363]
% left_division(X,Y) ->
% right_division(X,right_division(right_division(identity,Y),right_division(identity,
% right_division(X,
% right_division(identity,X))))) is composed into
% [363]
% left_division(X,Y) ->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,X)))
% New rule produced :
% [565]
% 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
% [365]
% right_division(X,right_division(Y,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,Y))))))
% -> Y collapsed.
% Rule
% [395]
% right_division(right_division(right_division(X,right_division(right_division(identity,Y),
% right_division(identity,
% right_division(X,right_division(identity,X))))),Z),
% right_division(identity,right_division(Z,right_division(Y,right_division(
% right_division(identity,X),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))))))
% ->
% right_division(identity,right_division(right_division(right_division(identity,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,
% right_division(identity,X)),
% right_division(identity,
% right_division(right_division(identity,X),
% right_division(identity,
% right_division(X,right_division(
% right_division(identity,Y),
% right_division(identity,
% right_division(X,
% right_division(identity,X)))))))))))))
% collapsed.
% Rule
% [414]
% right_division(right_division(X,right_division(Y,right_division(right_division(identity,Z),
% right_division(identity,
% right_division(Y,right_division(identity,Y)))))),
% right_division(identity,right_division(right_division(Y,right_division(
% right_division(identity,Z),
% right_division(identity,
% right_division(Y,
% right_division(identity,Y))))),
% right_division(Z,right_division(right_division(identity,Y),
% right_division(identity,right_division(Z,
% right_division(identity,Z))))))))
% ->
% right_division(X,right_division(right_division(identity,Z),right_division(identity,Y)))
% collapsed.
% Current number of equations to process: 2347
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [566]
% 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(right_division(a,right_division(identity,b)),right_division(identity,
% right_division(
% right_division(c,a),
% right_division(b,
% right_division(a,
% right_division(c,
% right_division(b,
% right_division(c,
% right_division(b,
% right_division(identity,
% right_division(c,
% right_division(identity,c)))))))))))) =
% right_division(a,right_division(identity,right_division(b,right_division(c,
% right_division(c,
% right_division(c,
% right_division(b,
% right_division(identity,
% right_division(c,
% right_division(identity,c))))))))))
%
% Current number of equations to process: 2347
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [567]
% right_division(X,right_division(Y,right_division(right_division(identity,X),Y)))
% <-> right_division(identity,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 2488
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [568]
% right_division(identity,right_division(Y,right_division(identity,Y))) <->
% right_division(X,right_division(Y,right_division(right_division(identity,X),Y)))
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [569]
% right_division(identity,right_division(Y,right_division(identity,Y))) <->
% right_division(right_division(identity,X),right_division(Y,right_division(X,Y)))
% Current number of equations to process: 2487
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [570]
% right_division(right_division(identity,X),right_division(Y,right_division(X,Y)))
% <-> right_division(identity,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 2487
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [571]
% 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)))
% Rule
% [446]
% right_division(identity,right_division(right_division(identity,Y),right_division(X,
% right_division(identity,
% right_division(X,Y)))))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 2522
% Current number of ordered equations: 0
% Current number of rules: 220
% Rule [172]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,Y))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(Y,
% right_division(X,Y)),
% right_division(identity,Y)))) is composed into
% [172]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,Y))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(identity,
% right_division(
% right_division(Y,X),
% right_division(identity,Y))))))
% New rule produced :
% [572]
% right_division(right_division(X,right_division(Y,X)),right_division(identity,X))
% ->
% right_division(X,right_division(identity,right_division(right_division(X,Y),
% right_division(identity,X))))
% Rule
% [171]
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(Y,
% right_division(X,Y)),
% right_division(identity,Y))))
% <->
% right_division(right_division(X,right_division(X,Y)),right_division(identity,Y))
% collapsed.
% Current number of equations to process: 2532
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [573]
% 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: 2529
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [574]
% 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: 2528
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [575]
% right_division(X,right_division(Y,right_division(X,right_division(identity,X))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),Y)
% Current number of equations to process: 2527
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [576]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),Y)
% <->
% right_division(X,right_division(Y,right_division(X,right_division(identity,X))))
% Current number of equations to process: 2527
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [577]
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% <->
% right_division(right_division(identity,Y),right_division(X,right_division(identity,Y)))
% Rule
% [526]
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(right_division(identity,X),right_division(Y,
% right_division(identity,X))))
% collapsed.
% Current number of equations to process: 2526
% Current number of ordered equations: 1
% Current number of rules: 224
% New rule produced :
% [578]
% right_division(right_division(identity,Y),right_division(X,right_division(identity,Y)))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Y)))))
% Rule
% [527]
% right_division(X,right_division(right_division(identity,X),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))))))
% collapsed.
% Current number of equations to process: 2526
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [579]
% right_division(right_division(X,right_division(Y,right_division(Z,right_division(identity,Z)))),
% right_division(Z,right_division(Y,Z))) -> X
% Current number of equations to process: 2524
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [580]
% right_division(right_division(X,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% -> identity
% Current number of equations to process: 2524
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [581]
% right_division(identity,right_division(X,right_division(identity,right_division(Y,X))))
% <->
% right_division(X,right_division(X,right_division(X,right_division(Y,right_division(identity,X)))))
% Current number of equations to process: 2523
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [582]
% right_division(X,right_division(X,right_division(X,right_division(Y,right_division(identity,X)))))
% <->
% right_division(identity,right_division(X,right_division(identity,right_division(Y,X))))
% Current number of equations to process: 2523
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [583]
% right_division(identity,right_division(X,right_division(Y,right_division(identity,Y))))
% <-> right_division(Y,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 2621
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [584]
% right_division(Y,right_division(identity,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 2621
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [585]
% 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: 2824
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [586]
% 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: 2824
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [587]
% right_division(Y,right_division(identity,right_division(Y,right_division(X,
% right_division(identity,X)))))
% <->
% right_division(identity,right_division(X,right_division(Y,right_division(X,Y))))
% Current number of equations to process: 2825
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [588]
% right_division(identity,right_division(X,right_division(Y,right_division(X,Y))))
% <->
% right_division(Y,right_division(identity,right_division(Y,right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 2825
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [589]
% right_division(X,right_division(Y,X)) <->
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,X),
% right_division(X,Y)))))
% Current number of equations to process: 2824
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [590]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,X),
% right_division(X,Y)))))
% <-> right_division(X,right_division(Y,X))
% Current number of equations to process: 2824
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [591]
% right_division(right_division(identity,right_division(X,Y)),right_division(X,
% right_division(identity,
% right_division(Y,X))))
% -> right_division(identity,X)
% Current number of equations to process: 2836
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [592]
% 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: 2839
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [593]
% 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: 2839
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [594]
% right_division(identity,right_division(right_division(identity,X),right_division(X,
% right_division(X,Y))))
% -> right_division(X,right_division(identity,Y))
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [595]
% 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: 2842
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [596]
% 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: 2842
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [597]
% 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: 2840
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [598]
% 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: 2840
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [599]
% 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: 2924
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [600]
% 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: 2922
% Current number of ordered equations: 1
% Current number of rules: 246
% New rule produced :
% [601]
% 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: 2922
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [602]
% right_division(X,right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,X),Y)))))
% -> right_division(X,Y)
% Current number of equations to process: 2921
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [603]
% right_division(right_division(identity,Y),right_division(identity,X)) <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(X,Y),
% right_division(identity,X))))
% Current number of equations to process: 2920
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [604]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(X,Y),
% right_division(identity,X))))
% <-> right_division(right_division(identity,Y),right_division(identity,X))
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [605]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(Y,
% right_division(identity,Y)))))
% -> right_division(X,Y)
% Current number of equations to process: 2919
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [606]
% 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)
% Current number of equations to process: 2918
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [607]
% 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: 2916
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [608]
% 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)
% Rule
% [580]
% right_division(right_division(X,right_division(Y,X)),right_division(identity,
% right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% -> identity collapsed.
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [609]
% right_division(X,right_division(identity,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(X,right_division(X,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 2914
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [610]
% right_division(identity,right_division(X,right_division(X,right_division(X,
% right_division(Y,
% right_division(identity,X))))))
% <-> right_division(X,right_division(identity,right_division(Y,X)))
% Current number of equations to process: 2914
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [611]
% 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: 2913
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [612]
% 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: 2913
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [613]
% right_division(identity,right_division(X,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% <->
% right_division(Y,right_division(identity,right_division(Y,right_division(X,
% right_division(identity,X)))))
% Current number of equations to process: 2912
% Current number of ordered equations: 1
% Current number of rules: 258
% New rule produced :
% [614]
% right_division(Y,right_division(identity,right_division(Y,right_division(X,
% right_division(identity,X)))))
% <->
% right_division(identity,right_division(X,right_division(Y,right_division(identity,
% right_division(Y,X)))))
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [615]
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(right_division(identity,X),Y))) ->
% right_division(identity,right_division(X,right_division(identity,X)))
% Current number of equations to process: 2911
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [616]
% 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: 2910
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [617]
% 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: 2910
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [618]
% right_division(right_division(X,right_division(right_division(identity,X),Y)),
% right_division(Z,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(Y,Z)))
% Current number of equations to process: 2909
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [619]
% 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: 2954
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [620]
% 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: 3019
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [621]
% right_division(X,right_division(right_division(Y,X),Z)) <->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,X)))),Y)
% Current number of equations to process: 3045
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [622]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,X)))),Y)
% <-> right_division(X,right_division(right_division(Y,X),Z))
% Current number of equations to process: 3045
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [623]
% right_division(X,right_division(identity,right_division(Y,right_division(Z,X))))
% <->
% right_division(right_division(X,right_division(right_division(identity,X),Y)),Z)
% Current number of equations to process: 3047
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [624]
% right_division(right_division(X,right_division(right_division(identity,X),Y)),Z)
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(Z,X))))
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [625]
% right_division(X,right_division(Y,right_division(Z,X))) <->
% right_division(right_division(X,right_division(identity,Z)),right_division(Y,
% right_division(identity,X)))
% Current number of equations to process: 3050
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [626]
% right_division(right_division(X,right_division(identity,Z)),right_division(Y,
% right_division(identity,X)))
% <-> right_division(X,right_division(Y,right_division(Z,X)))
% Rule
% [219]
% right_division(right_division(X,right_division(identity,right_division(
% right_division(X,
% right_division(identity,Y)),
% right_division(identity,
% right_division(Z,
% right_division(identity,X)))))),
% right_division(right_division(Y,right_division(identity,Z)),right_division(identity,X)))
% -> right_division(X,right_division(identity,X)) collapsed.
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [627]
% right_division(X,right_division(Y,right_division(identity,X))) <->
% right_division(Z,right_division(Y,right_division(identity,Z)))
% Rule
% [351]
% right_division(right_division(X,Y),right_division(Y,right_division(identity,
% right_division(X,Y)))) ->
% right_division(identity,Y) collapsed.
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [628]
% right_division(identity,right_division(right_division(X,right_division(Y,
% right_division(identity,X))),
% right_division(Z,Y))) -> Z
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [629]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(right_division(identity,Z),Y)) -> Z
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [630]
% right_division(identity,X) <->
% right_division(X,right_division(X,right_division(Y,right_division(X,right_division(identity,Y)))))
% The conjecture has been reduced.
% Conjecture is now:
% right_division(right_division(a,right_division(b,right_division(b,right_division(c,
% right_division(b,
% right_division(identity,c)))))),
% right_division(identity,right_division(right_division(c,a),right_division(b,
% right_division(a,
% right_division(c,
% right_division(b,
% right_division(c,
% right_division(b,
% right_division(identity,
% right_division(c,
% right_division(identity,c)))))))))))) =
% right_division(a,right_division(identity,right_division(b,right_division(c,
% right_division(c,
% right_division(c,
% right_division(b,
% right_division(identity,
% right_division(c,
% right_division(identity,c))))))))))
%
% Current number of equations to process: 3074
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced :
% [631]
% right_division(X,right_division(X,right_division(Y,right_division(X,right_division(identity,Y)))))
% <-> right_division(identity,X)
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [632]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(Z,Y)) -> right_division(identity,Z)
% Rule
% [628]
% right_division(identity,right_division(right_division(X,right_division(Y,
% right_division(identity,X))),
% right_division(Z,Y))) -> Z collapsed.
% Rule
% [629]
% right_division(right_division(X,right_division(Y,right_division(identity,X))),
% right_division(right_division(identity,Z),Y)) -> Z collapsed.
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [633]
% 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: 3100
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [634]
% right_division(identity,Y) <->
% right_division(X,right_division(Y,right_division(Z,right_division(X,right_division(identity,Z)))))
% Rule
% [630]
% right_division(identity,X) <->
% right_division(X,right_division(X,right_division(Y,right_division(X,right_division(identity,Y)))))
% collapsed.
% Current number of equations to process: 3172
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [635]
% right_division(X,right_division(Y,right_division(Z,right_division(X,right_division(identity,Z)))))
% <-> right_division(identity,Y)
% Rule
% [631]
% right_division(X,right_division(X,right_division(Y,right_division(X,right_division(identity,Y)))))
% <-> right_division(identity,X) collapsed.
% Current number of equations to process: 3172
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [636]
% right_division(Y,right_division(X,right_division(identity,X))) <->
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(X,Y))))
% Current number of equations to process: 3188
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [637]
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(X,Y)))) <->
% right_division(Y,right_division(X,right_division(identity,X)))
% Current number of equations to process: 3188
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [638]
% 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: 3187
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [639]
% 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: 3186
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [640]
% 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: 3185
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [641]
% right_division(right_division(identity,Y),right_division(right_division(identity,Y),
% right_division(Y,right_division(Y,X))))
% -> X
% Current number of equations to process: 3454
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [642]
% right_division(right_division(identity,X),right_division(identity,Y)) <->
% right_division(right_division(identity,Y),right_division(right_division(identity,Y),
% right_division(Y,X)))
% Current number of equations to process: 3453
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [643]
% right_division(right_division(identity,Y),right_division(right_division(identity,Y),
% right_division(Y,X))) <->
% right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 3453
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [644]
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X))))))
% -> Y
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [645]
% 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: 3495
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [646]
% right_division(right_division(X,right_division(X,Y)),right_division(Y,X)) ->
% X
% Current number of equations to process: 3627
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [647]
% 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: 3660
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [648]
% 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: 3659
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [649]
% 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: 3659
% Current number of ordered equations: 0
% Current number of rules: 288
% Rule [621]
% right_division(X,right_division(right_division(Y,X),Z)) <->
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,X)))),Y) is composed into
% [621]
% right_division(X,right_division(right_division(Y,X),Z)) <->
% right_division(X,right_division(identity,right_division(Z,right_division(identity,
% right_division(X,Y)))))
% Rule [575]
% right_division(X,right_division(Y,right_division(X,right_division(identity,X))))
% <->
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),Y) is composed into
% [575]
% right_division(X,right_division(Y,right_division(X,right_division(identity,X))))
% <->
% right_division(X,right_division(identity,right_division(X,right_division(identity,
% right_division(X,Y)))))
% Rule [328]
% right_division(X,right_division(identity,right_division(Y,right_division(Z,X))))
% <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),Z) is composed into
% [328]
% right_division(X,right_division(identity,right_division(Y,right_division(Z,X))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,Z)))))
% Rule [280]
% right_division(right_division(right_division(X,right_division(identity,
% right_division(Y,V_3))),
% right_division(identity,right_division(V_3,right_division(identity,X)))),
% right_division(identity,Z)) ->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(identity,Z)) is composed into [280]
% right_division(right_division(
% right_division(X,
% right_division(identity,
% right_division(Y,V_3))),
% right_division(identity,
% right_division(V_3,
% right_division(identity,X)))),
% right_division(identity,Z))
% ->
% right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Z))))))
% Rule [259]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,V_3))))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,X)))) is composed into
% [259]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,V_3))))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% Rule [211]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y)))),
% right_division(identity,X)))) is composed into
% [211]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X)))) <->
% 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,X))))))))
% Rule [206]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% 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(Z,right_division(identity,
% right_division(X,right_division(identity,Y)))))) is composed into
% [206]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% 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,
% right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))))))
% Rule [129]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(Y,right_division(identity,X))))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,X)))) is composed into
% [129]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(Y,right_division(identity,X)))) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(Z,
% right_division(identity,
% right_division(Y,
% right_division(identity,X))))))))
% New rule produced :
% [650]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),Z)
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,
% right_division(X,Z)))))
% Rule
% [104]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),
% right_division(Z,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(Y,Z))) collapsed.
% Rule
% [124]
% 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(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
% [126]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(Y,right_division(identity,X))))
% collapsed.
% Rule
% [207]
% right_division(right_division(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,Y))))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(X,
% right_division(identity,Z)),
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [208]
% right_division(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(identity,Y)))) ->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,X)),
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% collapsed.
% Rule
% [209]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(
% right_division(Z,
% right_division(identity,V_3)),
% right_division(identity,Y)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,Z)))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X)))) collapsed.
% Rule
% [257]
% right_division(X,right_division(identity,right_division(right_division(Y,
% right_division(identity,
% right_division(Z,
% right_division(identity,Y)))),
% right_division(identity,X)))) <->
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,
% right_division(Z,V_3))))),
% right_division(identity,right_division(right_division(V_3,right_division(identity,Y)),
% right_division(identity,X)))) collapsed.
% Rule
% [329]
% right_division(right_division(X,right_division(identity,right_division(Y,
% right_division(identity,X)))),Z)
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(Z,X))))
% collapsed.
% Rule
% [525]
% right_division(right_division(X,right_division(Y,Z)),right_division(right_division(Z,
% right_division(identity,
% right_division(X,
% right_division(identity,Z)))),Y))
% -> right_division(identity,Z) collapsed.
% Rule
% [576]
% right_division(right_division(X,right_division(identity,right_division(X,
% right_division(identity,X)))),Y)
% <->
% right_division(X,right_division(Y,right_division(X,right_division(identity,X))))
% collapsed.
% Rule
% [622]
% right_division(right_division(X,right_division(identity,right_division(Z,
% right_division(identity,X)))),Y)
% <-> right_division(X,right_division(right_division(Y,X),Z)) collapsed.
% Current number of equations to process: 3806
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [651]
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),Z)))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(Z,
% right_division(identity,X)))
% Current number of equations to process: 3803
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [652]
% right_division(right_division(X,right_division(identity,Y)),right_division(Z,
% right_division(identity,X)))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),Z)))
% Current number of equations to process: 3803
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [653]
% right_division(identity,right_division(Y,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X)))))
% -> right_division(identity,X)
% Current number of equations to process: 3802
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [654]
% 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))))))
% Rule
% [609]
% right_division(X,right_division(identity,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(X,right_division(X,
% right_division(Y,
% right_division(identity,X))))))
% collapsed.
% Current number of equations to process: 3801
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [655]
% 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)))
% Rule
% [610]
% right_division(identity,right_division(X,right_division(X,right_division(X,
% right_division(Y,
% right_division(identity,X))))))
% <-> right_division(X,right_division(identity,right_division(Y,X))) collapsed.
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [656]
% right_division(X,right_division(right_division(identity,X),Y)) <->
% 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: 3799
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [657]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(identity,X))))
% <-> right_division(X,right_division(right_division(identity,X),Y))
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [658]
% 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: 3798
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [659]
% 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: 3798
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [660]
% right_division(X,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,X)))))
% <->
% right_division(Z,right_division(Y,right_division(identity,right_division(Y,
% right_division(identity,Z)))))
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [661]
% right_division(right_division(identity,right_division(X,Y)),right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,X))))
% -> right_division(X,Y)
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [662]
% 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: 4143
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [663]
% 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: 4143
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [664]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),
% right_division(identity,X)))))
% -> Y
% Current number of equations to process: 4148
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [665]
% right_division(identity,right_division(X,right_division(right_division(Y,X),
% right_division(identity,Y)))) <->
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(Y,X)))
% Current number of equations to process: 4153
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [666]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% 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: 4153
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [667]
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,X),Y))))
% -> Y
% Rule
% [602]
% right_division(X,right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,X),Y)))))
% -> right_division(X,Y) collapsed.
% Rule
% [653]
% right_division(identity,right_division(Y,right_division(Y,right_division(
% right_division(identity,Y),
% right_division(
% right_division(identity,Y),X)))))
% -> right_division(identity,X) collapsed.
% Current number of equations to process: 4352
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [668]
% right_division(right_division(X,Y),right_division(Y,right_division(Y,
% right_division(identity,X))))
% -> right_division(X,right_division(Y,X))
% Current number of equations to process: 4358
% Current number of ordered equations: 0
% Current number of rules: 292
% Rule [449]
% right_division(Y,X) <->
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(identity,Y)))) is composed into
% [449] right_division(Y,X) <-> right_division(identity,right_division(X,Y))
% New rule produced :
% [669]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(identity,Y))))
% -> right_division(identity,right_division(X,Y))
% Rule
% [450]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(identity,Y))))
% <-> right_division(Y,X) collapsed.
% Rule
% [458]
% 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: 4569
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [670]
% right_division(identity,right_division(X,right_division(Y,X))) <->
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(X,Y))))
% Current number of equations to process: 4571
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [671]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(X,Y))))
% <-> right_division(identity,right_division(X,right_division(Y,X)))
% Current number of equations to process: 4571
% Current number of ordered equations: 0
% Current number of rules: 293
% Rule [670]
% right_division(identity,right_division(X,right_division(Y,X))) <->
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(X,Y)))) is composed into
% [670]
% right_division(identity,right_division(X,right_division(Y,X))) <->
% right_division(identity,right_division(X,right_division(identity,right_division(X,Y))))
% New rule produced :
% [672]
% 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))))
% Rule
% [671]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(X,Y))))
% <-> right_division(identity,right_division(X,right_division(Y,X))) collapsed.
% Current number of equations to process: 4570
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [673]
% 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: 4611
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [674]
% right_division(identity,right_division(X,right_division(identity,right_division(Y,X))))
% <-> right_division(X,right_division(X,right_division(identity,Y)))
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [675]
% right_division(right_division(identity,right_division(Y,right_division(X,Y))),
% right_division(c,right_division(Y,right_division(identity,c)))) ->
% right_division(X,Y)
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [676]
% 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: 4609
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [677]
% 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: 4609
% Current number of ordered equations: 0
% Current number of rules: 298
% Rule [636]
% right_division(Y,right_division(X,right_division(identity,X))) <->
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(X,Y)))) is composed into
% [636]
% right_division(Y,right_division(X,right_division(identity,X))) <->
% right_division(identity,right_division(X,right_division(identity,right_division(X,Y))))
% Rule [589]
% right_division(X,right_division(Y,X)) <->
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,X),
% right_division(X,Y))))) is composed into
% [589]
% right_division(X,right_division(Y,X)) <->
% right_division(identity,right_division(identity,right_division(X,right_division(identity,
% right_division(X,Y)))))
% Rule [514]
% right_division(Y,X) <->
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y)))) is composed into
% [514]
% right_division(Y,X) <->
% right_division(identity,right_division(X,right_division(identity,right_division(identity,Y))))
% New rule produced :
% [678]
% right_division(X,right_division(X,right_division(right_division(identity,X),Y)))
% -> right_division(identity,right_division(X,right_division(identity,Y)))
% Rule
% [513]
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(identity,Y)))) <->
% right_division(Y,X) collapsed.
% Rule
% [590]
% right_division(identity,right_division(X,right_division(X,right_division(
% right_division(identity,X),
% right_division(X,Y)))))
% <-> right_division(X,right_division(Y,X)) collapsed.
% Rule
% [637]
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(X,Y)))) <->
% right_division(Y,right_division(X,right_division(identity,X))) collapsed.
% Rule
% [644]
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(identity,right_division(Y,
% right_division(identity,X))))))
% -> Y collapsed.
% Rule
% [667]
% right_division(X,right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,X),Y))))
% -> Y collapsed.
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [679]
% right_division(X,right_division(right_division(identity,Y),X)) <->
% right_division(X,right_division(X,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,X))))))
% Current number of equations to process: 4745
% Current number of ordered equations: 1
% Current number of rules: 295
% New rule produced :
% [680]
% right_division(X,right_division(X,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,X))))))
% <-> right_division(X,right_division(right_division(identity,Y),X))
% Current number of equations to process: 4745
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [681]
% right_division(Y,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% <-> right_division(right_division(identity,X),Y)
% Rule
% [680]
% right_division(X,right_division(X,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,X))))))
% <-> right_division(X,right_division(right_division(identity,Y),X)) collapsed.
% Current number of equations to process: 4870
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [682]
% right_division(right_division(identity,X),Y) <->
% right_division(Y,right_division(Y,right_division(identity,right_division(X,
% right_division(identity,Y)))))
% Rule
% [679]
% right_division(X,right_division(right_division(identity,Y),X)) <->
% right_division(X,right_division(X,right_division(X,right_division(identity,
% right_division(Y,right_division(identity,X))))))
% collapsed.
% Current number of equations to process: 4870
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [683]
% 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(X,Y))))
% Current number of equations to process: 4903
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [684]
% 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,X)
% Current number of equations to process: 2148
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [685]
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(identity,Y),X)))
% ->
% right_division(identity,right_division(X,right_division(identity,right_division(Y,
% right_division(X,Y)))))
% Current number of equations to process: 2147
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [686]
% 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: 2201
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [687]
% 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: 2201
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [688]
% right_division(right_division(right_division(identity,X),Y),right_division(identity,
% right_division(Y,
% right_division(identity,
% right_division(X,Y)))))
% -> right_division(identity,Y)
% Current number of equations to process: 2247
% Current number of ordered equations: 1
% Current number of rules: 302
% New rule produced :
% [689]
% 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: 2247
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [690]
% right_division(right_division(X,Y),right_division(X,right_division(identity,
% right_division(X,
% right_division(Y,X)))))
% -> right_division(identity,right_division(X,right_division(identity,X)))
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [691]
% right_division(right_division(right_division(identity,X),Y),right_division(Y,
% right_division(Y,
% right_division(Y,X))))
% -> right_division(identity,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 2245
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [692]
% right_division(right_division(identity,X),right_division(Y,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% -> X
% Current number of equations to process: 2307
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [693]
% right_division(right_division(X,Y),right_division(X,right_division(Y,
% right_division(X,
% right_division(identity,X)))))
% -> right_division(identity,right_division(X,right_division(identity,X)))
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [694]
% right_division(right_division(X,Y),right_division(Y,right_division(identity,
% right_division(Y,
% right_division(Y,X)))))
% -> right_division(identity,right_division(Y,right_division(identity,Y)))
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [695]
% right_division(right_division(identity,right_division(X,Y)),right_division(
% right_division(identity,Y),X))
% -> right_division(Y,right_division(identity,Y))
% Rule
% [615]
% right_division(identity,right_division(right_division(identity,right_division(Y,X)),
% right_division(right_division(identity,X),Y))) ->
% right_division(identity,right_division(X,right_division(identity,X)))
% collapsed.
% Current number of equations to process: 2411
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [696]
% right_division(right_division(identity,right_division(right_division(identity,X),Y)),
% right_division(Y,X)) ->
% right_division(Y,right_division(identity,right_division(X,right_division(Y,X))))
% Current number of equations to process: 2471
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [697]
% right_division(right_division(identity,X),right_division(right_division(Y,
% right_division(Y,
% right_division(identity,X))),
% right_division(X,Y))) ->
% right_division(X,Y)
% Current number of equations to process: 2497
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [698]
% 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: 2495
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [699]
% 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: 2495
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [700]
% right_division(right_division(X,right_division(Y,right_division(X,right_division(identity,X)))),
% right_division(Y,right_division(Y,X))) ->
% right_division(X,right_division(Y,X))
% Current number of equations to process: 2494
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [701]
% 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(
% right_division(identity,Y),X))))
% Current number of equations to process: 2490
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [702]
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,
% right_division(
% right_division(identity,Y),X))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,Y))))
% Current number of equations to process: 2490
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [703]
% right_division(right_division(X,right_division(Y,right_division(identity,
% right_division(Y,Z)))),
% right_division(Z,right_division(Y,right_division(identity,Y)))) -> X
% Current number of equations to process: 2488
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [704]
% right_division(right_division(X,right_division(Y,right_division(identity,Y))),
% right_division(identity,right_division(Y,right_division(identity,right_division(Y,X)))))
% -> identity
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [705]
% right_division(X,right_division(identity,right_division(right_division(Y,X),Z)))
% <->
% right_division(identity,right_division(right_division(Z,right_division(identity,X)),
% right_division(X,right_division(identity,Y))))
% Current number of equations to process: 2482
% Current number of ordered equations: 4
% Current number of rules: 318
% New rule produced :
% [706]
% right_division(X,right_division(identity,right_division(right_division(Y,X),Z)))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,X),Z)))
% Current number of equations to process: 2482
% Current number of ordered equations: 3
% Current number of rules: 319
% New rule produced :
% [707]
% right_division(identity,right_division(right_division(Z,right_division(identity,X)),
% right_division(X,right_division(identity,Y)))) <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),Z)))
% Current number of equations to process: 2482
% Current number of ordered equations: 2
% Current number of rules: 320
% New rule produced :
% [708]
% right_division(right_division(identity,right_division(right_division(identity,X),Y)),
% right_division(Z,right_division(identity,Y))) ->
% right_division(Y,right_division(identity,right_division(right_division(X,Y),Z)))
% Current number of equations to process: 2482
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [709]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,
% right_division(
% right_division(identity,X),Z)))
% <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),Z)))
% Current number of equations to process: 2482
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [710]
% right_division(right_division(X,Y),right_division(right_division(identity,X),
% right_division(Y,right_division(right_division(X,Y),
% right_division(identity,X)))))
% -> Y
% Current number of equations to process: 2481
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [711]
% right_division(X,right_division(right_division(identity,X),right_division(Y,
% right_division(identity,
% right_division(Z,X)))))
% <->
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% Current number of equations to process: 2480
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [712]
% right_division(right_division(X,right_division(identity,Y)),right_division(identity,Z))
% <->
% right_division(X,right_division(right_division(identity,X),right_division(Y,
% right_division(identity,
% right_division(Z,X)))))
% Rule
% [224]
% right_division(right_division(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,Y)))) ->
% 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(X,
% right_division(identity,Y))))))))
% collapsed.
% Current number of equations to process: 2481
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [713]
% right_division(X,right_division(identity,right_division(Y,right_division(Z,X))))
% <->
% right_division(identity,right_division(Z,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% Current number of equations to process: 2480
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [714]
% right_division(identity,right_division(Z,right_division(X,right_division(identity,
% right_division(Y,
% right_division(identity,X))))))
% <->
% right_division(X,right_division(identity,right_division(Y,right_division(Z,X))))
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [715]
% right_division(right_division(X,right_division(Z,right_division(Y,right_division(identity,Z)))),
% right_division(identity,X)) ->
% right_division(X,right_division(identity,right_division(Y,right_division(identity,X))))
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [716]
% right_division(right_division(X,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(Y,X))))
% ->
% right_division(X,right_division(identity,right_division(Y,right_division(Y,X))))
% Current number of equations to process: 2477
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [717]
% right_division(right_division(identity,right_division(X,right_division(X,
% right_division(Y,
% right_division(Z,
% right_division(identity,Y)))))),
% right_division(Z,X)) -> X
% Current number of equations to process: 2476
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [718]
% 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: 2474
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [719]
% 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: 2474
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [720]
% right_division(right_division(X,Y),right_division(identity,right_division(Y,
% right_division(
% right_division(X,Y),
% right_division(identity,X)))))
% -> right_division(identity,right_division(X,Y))
% Current number of equations to process: 2468
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [721]
% right_division(right_division(X,Y),right_division(Y,right_division(Y,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% -> right_division(X,right_division(identity,X))
% Current number of equations to process: 2460
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [722]
% right_division(right_division(identity,X),right_division(right_division(identity,X),
% right_division(X,right_division(Y,X))))
% ->
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))
% Current number of equations to process: 2459
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [723]
% right_division(right_division(identity,right_division(X,right_division(Y,
% right_division(identity,Y)))),
% right_division(X,right_division(X,Y))) ->
% right_division(identity,right_division(X,Y))
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [724]
% 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))
% Rule
% [692]
% right_division(right_division(identity,X),right_division(Y,right_division(X,
% right_division(identity,
% right_division(X,
% right_division(identity,Y))))))
% -> X collapsed.
% Current number of equations to process: 2457
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [725]
% 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(X,Y))))
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [726]
% right_division(right_division(X,right_division(X,right_division(identity,Y))),
% right_division(Y,X)) ->
% right_division(identity,right_division(Y,right_division(X,Y)))
% Rule
% [697]
% right_division(right_division(identity,X),right_division(right_division(Y,
% right_division(Y,
% right_division(identity,X))),
% right_division(X,Y))) ->
% right_division(X,Y) collapsed.
% Current number of equations to process: 2468
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [727]
% right_division(right_division(X,Y),right_division(c,right_division(Y,
% right_division(identity,c))))
% -> X
% Current number of equations to process: 2506
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [728]
% right_division(identity,right_division(X,right_division(right_division(Y,
% right_division(Y,X)),
% right_division(X,right_division(Y,
% right_division(identity,X))))))
% -> Y
% Current number of equations to process: 2518
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [729]
% right_division(right_division(right_division(X,Y),right_division(Z,Y)),
% right_division(right_division(Y,right_division(identity,X)),Z)) ->
% right_division(identity,Y)
% Current number of equations to process: 2651
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [730]
% right_division(X,right_division(right_division(Y,X),right_division(Z,X))) <->
% right_division(right_division(X,right_division(identity,Z)),Y)
% Current number of equations to process: 2785
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [731]
% right_division(right_division(X,right_division(identity,Z)),Y) <->
% right_division(X,right_division(right_division(Y,X),right_division(Z,X)))
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [732]
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(X,Z)))))
% <-> right_division(right_division(X,right_division(identity,Y)),Z)
% Current number of equations to process: 2918
% Current number of ordered equations: 1
% Current number of rules: 342
% Rule [474]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Z,X)))) <->
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Z) is composed into
% [474]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Z,X)))) <->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(X,
% right_division(X,Y)),
% right_division(identity,
% right_division(
% right_division(X,Y),Z)))))
% New rule produced :
% [733]
% right_division(right_division(X,right_division(identity,Y)),Z) <->
% right_division(X,right_division(identity,right_division(right_division(Y,X),
% right_division(identity,right_division(X,Z)))))
% Rule
% [318]
% right_division(right_division(X,right_division(identity,X)),Y) ->
% right_division(X,right_division(identity,right_division(X,Y))) collapsed.
% Rule
% [475]
% right_division(right_division(right_division(X,Y),right_division(identity,X)),Z)
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(Z,X)))) collapsed.
% Rule
% [491]
% right_division(right_division(right_division(X,Y),right_division(identity,X)),
% right_division(Z,right_division(identity,X))) ->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),Z)))
% collapsed.
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [734]
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(X,
% right_division(identity,Y)),Z)))
% <-> right_division(right_division(Y,X),right_division(Z,X))
% Current number of equations to process: 2919
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [735]
% right_division(right_division(Y,X),right_division(Z,X)) <->
% right_division(right_division(identity,X),right_division(identity,right_division(
% right_division(X,
% right_division(identity,Y)),Z)))
% Current number of equations to process: 2919
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [736]
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(Z,X)))) <->
% right_division(right_division(X,right_division(identity,Y)),Z)
% Current number of equations to process: 2917
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [737]
% right_division(right_division(X,right_division(identity,Y)),Z) <->
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,Y)),
% right_division(Z,X))))
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [738]
% right_division(right_division(X,Y),Z) <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),
% right_division(Z,X))))
% Current number of equations to process: 2925
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [739]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),
% right_division(Z,X)))) <->
% right_division(right_division(X,Y),Z)
% Current number of equations to process: 2925
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [740]
% right_division(identity,right_division(X,right_division(Y,right_division(identity,Z))))
% <->
% right_division(Y,right_division(identity,right_division(right_division(Z,Y),
% right_division(X,Y))))
% Current number of equations to process: 3135
% Current number of ordered equations: 3
% Current number of rules: 347
% New rule produced :
% [741]
% right_division(Y,right_division(identity,right_division(right_division(X,Y),
% right_division(Z,Y)))) <->
% right_division(right_division(identity,right_division(right_division(identity,X),Y)),Z)
% Current number of equations to process: 3135
% Current number of ordered equations: 2
% Current number of rules: 348
% New rule produced :
% [742]
% right_division(Y,right_division(identity,right_division(right_division(Z,Y),
% right_division(X,Y)))) <->
% right_division(identity,right_division(X,right_division(Y,right_division(identity,Z))))
% Current number of equations to process: 3135
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [743]
% right_division(right_division(identity,right_division(right_division(identity,X),Y)),Z)
% <->
% right_division(Y,right_division(identity,right_division(right_division(X,Y),
% right_division(Z,Y))))
% Current number of equations to process: 3135
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [744]
% 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: 3529
% Current number of ordered equations: 1
% Current number of rules: 351
% New rule produced :
% [745]
% 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: 3529
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [746]
% right_division(identity,right_division(right_division(X,Y),right_division(Y,
% right_division(identity,X))))
% ->
% right_division(Y,right_division(identity,right_division(X,right_division(X,Y))))
% Current number of equations to process: 3616
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [747]
% right_division(right_division(identity,right_division(Y,X)),right_division(Y,
% right_division(Y,
% right_division(Y,X))))
% -> right_division(X,right_division(Y,right_division(X,Y)))
% Current number of equations to process: 3615
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [748]
% right_division(X,right_division(Y,right_division(right_division(identity,Z),X)))
% <->
% right_division(right_division(X,Z),right_division(Y,right_division(identity,X)))
% Current number of equations to process: 3743
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [749]
% right_division(right_division(X,Z),right_division(Y,right_division(identity,X)))
% <->
% right_division(X,right_division(Y,right_division(right_division(identity,Z),X)))
% Current number of equations to process: 3743
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [750]
% 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: 3985
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [751]
% 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: 3985
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [752]
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(Y,Z))) <->
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Z),Y),X)))
% Current number of equations to process: 4037
% Current number of ordered equations: 5
% Current number of rules: 359
% New rule produced :
% [753]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Z)))
% <->
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(identity,X),Z)))
% Current number of equations to process: 4037
% Current number of ordered equations: 4
% Current number of rules: 360
% New rule produced :
% [754]
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,X),Y),Z)))
% <->
% right_division(right_division(identity,right_division(X,Y)),right_division(Z,
% right_division(identity,Y)))
% Current number of equations to process: 4037
% Current number of ordered equations: 3
% Current number of rules: 361
% New rule produced :
% [755]
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,Z),Y),X)))
% <->
% right_division(identity,right_division(right_division(X,right_division(identity,Y)),
% right_division(Y,Z)))
% Current number of equations to process: 4037
% Current number of ordered equations: 2
% Current number of rules: 362
% New rule produced :
% [756]
% right_division(right_division(X,Y),right_division(identity,right_division(
% right_division(identity,X),Z)))
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),Z)))
% Current number of equations to process: 4037
% Current number of ordered equations: 1
% Current number of rules: 363
% New rule produced :
% [757]
% right_division(right_division(identity,right_division(X,Y)),right_division(Z,
% right_division(identity,Y)))
% <->
% right_division(Y,right_division(identity,right_division(right_division(
% right_division(identity,X),Y),Z)))
% Current number of equations to process: 4037
% Current number of ordered equations: 0
% Current number of rules: 364
% Rule [554]
% right_division(right_division(identity,Y),X) <->
% right_division(right_division(identity,X),right_division(X,right_division(X,Y))) is composed into
% [554]
% right_division(right_division(identity,Y),X) <->
% right_division(identity,right_division(X,right_division(identity,Y)))
% New rule produced :
% [758]
% right_division(right_division(identity,X),right_division(X,right_division(X,Y)))
% -> right_division(identity,right_division(X,right_division(identity,Y)))
% Rule
% [502]
% right_division(X,right_division(right_division(identity,X),right_division(X,
% right_division(X,Y))))
% ->
% right_division(X,right_division(identity,right_division(X,right_division(identity,Y))))
% collapsed.
% Rule
% [555]
% right_division(right_division(identity,X),right_division(X,right_division(X,Y)))
% <-> right_division(right_division(identity,Y),X) collapsed.
% Rule
% [594]
% right_division(identity,right_division(right_division(identity,X),right_division(X,
% right_division(X,Y))))
% -> right_division(X,right_division(identity,Y)) collapsed.
% Rule
% [641]
% right_division(right_division(identity,Y),right_division(right_division(identity,Y),
% right_division(Y,right_division(Y,X))))
% -> X collapsed.
% Rule
% [669]
% right_division(right_division(identity,X),right_division(X,right_division(X,
% right_division(identity,Y))))
% -> right_division(identity,right_division(X,Y)) collapsed.
% Rule
% [672]
% 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.
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 359
% Rule [642]
% right_division(right_division(identity,X),right_division(identity,Y))
% <->
% right_division(right_division(identity,Y),right_division(right_division(identity,Y),
% right_division(Y,X))) is composed into
% [642]
% right_division(right_division(identity,X),right_division(identity,Y)) <->
% right_division(identity,right_division(right_division(identity,Y),right_division(identity,X)))
% New rule produced :
% [759]
% 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)))
% Rule
% [557]
% right_division(X,right_division(right_division(identity,X),right_division(
% right_division(identity,X),
% right_division(X,Y))))
% -> Y collapsed.
% Rule
% [643]
% right_division(right_division(identity,Y),right_division(right_division(identity,Y),
% right_division(Y,X))) <->
% right_division(right_division(identity,X),right_division(identity,Y))
% collapsed.
% Rule
% [722]
% right_division(right_division(identity,X),right_division(right_division(identity,X),
% right_division(X,right_division(Y,X))))
% ->
% right_division(X,right_division(right_division(identity,X),right_division(identity,Y)))
% collapsed.
% Current number of equations to process: 4145
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [760]
% right_division(right_division(identity,X),right_division(X,right_division(Y,X)))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(X,Y))))
% Current number of equations to process: 4151
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [761]
% 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(X,Y))
% Current number of equations to process: 4178
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [762]
% right_division(right_division(identity,X),right_division(X,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: 4178
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [763]
% right_division(identity,right_division(X,right_division(right_division(identity,X),
% right_division(right_division(identity,X),Y))))
% -> right_division(right_division(identity,X),right_division(identity,Y))
% Current number of equations to process: 4375
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [764]
% right_division(right_division(identity,right_division(X,right_division(
% right_division(Y,X),
% right_division(identity,Y)))),Z)
% <-> right_division(right_division(Y,X),right_division(Z,right_division(Y,X)))
% Current number of equations to process: 4388
% Current number of ordered equations: 1
% Current number of rules: 362
% New rule produced :
% [765]
% right_division(right_division(Y,X),right_division(Z,right_division(Y,X))) <->
% right_division(right_division(identity,right_division(X,right_division(
% right_division(Y,X),
% right_division(identity,Y)))),Z)
% Current number of equations to process: 4388
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [766]
% right_division(Y,right_division(X,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),X)))))
% <->
% right_division(identity,right_division(X,right_division(right_division(identity,X),Y)))
% Current number of equations to process: 4387
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [767]
% right_division(identity,right_division(X,right_division(right_division(identity,X),Y)))
% <->
% right_division(Y,right_division(X,right_division(identity,right_division(Y,
% right_division(
% right_division(identity,Y),X)))))
% Current number of equations to process: 4387
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [768]
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,Y),X))))
% <->
% right_division(right_division(X,Y),right_division(right_division(identity,Y),X))
% Current number of equations to process: 4386
% Current number of ordered equations: 1
% Current number of rules: 366
% New rule produced :
% [769]
% right_division(right_division(X,Y),right_division(right_division(identity,Y),X))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,Y),
% right_division(right_division(identity,Y),X))))
% Current number of equations to process: 4386
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [770]
% right_division(identity,right_division(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(X,Y))))
% Current number of equations to process: 4385
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [771]
% right_division(right_division(X,Y),Z) <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),
% right_division(identity,right_division(X,Z)))))
% Current number of equations to process: 4383
% Current number of ordered equations: 1
% Current number of rules: 369
% New rule produced :
% [772]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,Y),X),
% right_division(identity,right_division(X,Z)))))
% <-> right_division(right_division(X,Y),Z)
% Current number of equations to process: 4383
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [773]
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,X),Y),
% right_division(Z,X)))) <->
% right_division(right_division(right_division(identity,Y),right_division(identity,X)),Z)
% Current number of equations to process: 4382
% Current number of ordered equations: 1
% Current number of rules: 371
% New rule produced :
% [774]
% right_division(right_division(right_division(identity,Y),right_division(identity,X)),Z)
% <->
% right_division(X,right_division(identity,right_division(right_division(
% right_division(identity,X),Y),
% right_division(Z,X))))
% Current number of equations to process: 4382
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [775]
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),Z)))
% <->
% right_division(right_division(X,Y),right_division(Z,right_division(identity,X)))
% Current number of equations to process: 4381
% Current number of ordered equations: 1
% Current number of rules: 373
% New rule produced :
% [776]
% right_division(right_division(X,Y),right_division(Z,right_division(identity,X)))
% <->
% right_division(X,right_division(identity,right_division(right_division(identity,
% right_division(X,
% right_division(identity,Y))),Z)))
% Current number of equations to process: 4381
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [777]
% right_division(right_division(identity,X),right_division(X,right_division(Z,
% right_division(Y,
% right_division(identity,Z)))))
% ->
% right_division(identity,right_division(X,right_division(right_division(identity,X),Y)))
% Current number of equations to process: 4380
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [778]
% right_division(right_division(identity,right_division(X,Y)),right_division(identity,
% right_division(X,
% right_division(
% right_division(identity,X),
% right_division(identity,Y)))))
% -> X
% Current number of equations to process: 4379
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [779]
% right_division(right_division(identity,right_division(X,right_division(identity,Y))),
% right_division(identity,right_division(X,right_division(right_division(identity,X),Y))))
% -> X
% Current number of equations to process: 4378
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [780]
% right_division(right_division(identity,right_division(right_division(identity,X),
% right_division(X,Y))),right_division(
% right_division(identity,Y),
% right_Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------