TSTP Solution File: GRP705-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP705-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n077.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 00:24:08 EDT 2014
% Result : Timeout 300.09s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP705-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n077.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 : Sat Jun 7 01:14:28 CDT 2014
% % CPUTime : 300.09
% Processing problem /tmp/CiME_14272_n077.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a,op_b,op_a,unit : constant; rd : 2; mult : 2; ld : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% mult(A,ld(A,B)) = B;
% ld(A,mult(A,B)) = B;
% mult(rd(A,B),B) = A;
% rd(mult(A,B),B) = A;
% mult(A,unit) = A;
% mult(unit,A) = A;
% mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C);
% mult(op_a,mult(op_a,mult(op_a,op_a))) = unit;
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))) = unit;
% ";
%
% let s1 = status F "
% a lr_lex;
% op_b lr_lex;
% op_a lr_lex;
% unit lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
%
% let p1 = precedence F "
% ld > mult > rd > unit > op_a > op_b > a";
%
% let s2 = status F "
% a mul;
% op_b mul;
% op_a mul;
% unit mul;
% rd mul;
% mult mul;
% ld mul;
% ";
%
% let p2 = precedence F "
% ld > mult > rd > unit = op_a = op_b = a";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " mult(op_a,mult(op_b,a)) = mult(mult(op_a,op_b),a);"
% ;
% (*
% 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 = { mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% mult(rd(A,B),B) = A,
% rd(mult(A,B),B) = A,
% mult(A,unit) = A,
% mult(unit,A) = A,
% mult(A,mult(B,mult(B,C))) =
% mult(mult(mult(A,B),B),C),
% mult(op_a,mult(op_a,mult(op_a,op_a))) = unit,
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,
% mult(op_b,
% mult(op_b,
% mult(op_b,
% mult(op_b,op_b))))))))
% = unit } (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 = { mult(op_a,mult(op_b,a)) =
% mult(mult(op_a,op_b),a) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] mult(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 1
% New rule produced : [2] mult(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 2
% New rule produced : [3] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 3
% New rule produced : [4] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 4
% New rule produced : [5] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 5
% New rule produced : [6] ld(A,mult(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 6
% New rule produced : [7] mult(op_a,mult(op_a,mult(op_a,op_a))) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 7
% New rule produced :
% [8] mult(mult(mult(A,B),B),C) -> mult(A,mult(B,mult(B,C)))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [9]
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,
% mult(op_b,op_b))))))))
% -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] rd(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] rd(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] ld(A,A) -> unit
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] rd(A,ld(B,A)) -> B
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] ld(op_a,unit) -> mult(op_a,mult(op_a,op_a))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] rd(unit,mult(op_a,mult(op_a,op_a))) -> op_a
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] mult(mult(A,B),B) -> mult(A,mult(B,B))
% Rule [8] mult(mult(mult(A,B),B),C) -> mult(A,mult(B,mult(B,C))) collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [19] mult(mult(A,mult(B,B)),C) -> mult(A,mult(B,mult(B,C)))
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [20] mult(mult(A,A),B) -> mult(A,mult(A,B))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21] mult(mult(A,mult(B,mult(B,B))),C) -> mult(mult(A,B),mult(B,mult(B,C)))
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [22]
% mult(mult(mult(A,mult(B,mult(B,C))),C),V_3) ->
% mult(A,mult(B,mult(B,mult(C,mult(C,V_3)))))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23]
% ld(op_b,unit) ->
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] rd(mult(A,mult(B,B)),B) -> mult(A,B)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [25] mult(rd(A,B),mult(B,B)) -> mult(A,B)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [26] ld(mult(A,B),mult(A,mult(B,B))) -> B
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27] mult(mult(A,B),mult(B,B)) -> mult(A,mult(B,mult(B,B)))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [28] mult(B,mult(ld(B,A),ld(B,A))) -> mult(A,ld(B,A))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [29] rd(mult(A,mult(B,mult(B,C))),C) -> mult(A,mult(B,B))
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [30] mult(rd(A,mult(C,C)),mult(C,mult(C,B))) -> mult(A,B)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [31] mult(B,mult(C,mult(C,ld(mult(B,mult(C,C)),A)))) -> A
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [32] ld(mult(A,mult(B,B)),mult(A,mult(B,mult(B,C)))) -> C
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [33] rd(mult(A,mult(A,B)),B) -> mult(A,A)
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [34] mult(B,mult(B,ld(mult(B,B),A))) -> A
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [35] ld(mult(A,A),mult(A,mult(A,B))) -> B
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [36] mult(op_a,mult(op_a,mult(op_a,mult(op_a,A)))) -> A
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [37] mult(mult(A,mult(A,B)),B) -> mult(A,mult(A,mult(B,B)))
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38] mult(mult(A,mult(B,mult(B,C))),C) -> mult(A,mult(B,mult(B,mult(C,C))))
% Rule
% [22]
% mult(mult(mult(A,mult(B,mult(B,C))),C),V_3) ->
% mult(A,mult(B,mult(B,mult(C,mult(C,V_3))))) collapsed.
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [39] mult(mult(A,mult(A,mult(B,B))),C) -> mult(A,mult(A,mult(B,mult(B,C))))
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [40]
% mult(mult(A,mult(B,mult(B,mult(C,C)))),V_3) ->
% mult(A,mult(B,mult(B,mult(C,mult(C,V_3)))))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [41] mult(mult(rd(A,mult(C,mult(C,C))),C),mult(C,mult(C,B))) -> mult(A,B)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [42]
% mult(mult(A,mult(A,mult(B,mult(B,B)))),C) ->
% mult(mult(A,mult(A,B)),mult(B,mult(B,C)))
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [43] mult(rd(A,mult(B,B)),B) -> rd(A,B)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [44] rd(mult(A,mult(A,mult(B,B))),B) -> mult(A,mult(A,B))
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [45] rd(mult(A,B),mult(B,B)) -> rd(A,B)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [46] ld(rd(A,B),mult(A,B)) -> mult(B,B)
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [47] mult(mult(A,B),C) -> mult(rd(A,B),mult(B,mult(B,C)))
% Rule [18] mult(mult(A,B),B) -> mult(A,mult(B,B)) collapsed.
% Rule [19] mult(mult(A,mult(B,B)),C) -> mult(A,mult(B,mult(B,C))) collapsed.
% Rule [20] mult(mult(A,A),B) -> mult(A,mult(A,B)) collapsed.
% Rule
% [21] mult(mult(A,mult(B,mult(B,B))),C) -> mult(mult(A,B),mult(B,mult(B,C)))
% collapsed.
% Rule [27] mult(mult(A,B),mult(B,B)) -> mult(A,mult(B,mult(B,B))) collapsed.
% Rule [37] mult(mult(A,mult(A,B)),B) -> mult(A,mult(A,mult(B,B))) collapsed.
% Rule
% [38] mult(mult(A,mult(B,mult(B,C))),C) -> mult(A,mult(B,mult(B,mult(C,C))))
% collapsed.
% Rule
% [39] mult(mult(A,mult(A,mult(B,B))),C) -> mult(A,mult(A,mult(B,mult(B,C))))
% collapsed.
% Rule
% [40]
% mult(mult(A,mult(B,mult(B,mult(C,C)))),V_3) ->
% mult(A,mult(B,mult(B,mult(C,mult(C,V_3))))) collapsed.
% Rule
% [41] mult(mult(rd(A,mult(C,mult(C,C))),C),mult(C,mult(C,B))) -> mult(A,B)
% collapsed.
% Rule
% [42]
% mult(mult(A,mult(A,mult(B,mult(B,B)))),C) ->
% mult(mult(A,mult(A,B)),mult(B,mult(B,C))) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% mult(op_a,mult(op_b,a)) = mult(rd(op_a,op_b),mult(op_b,mult(op_b,a)))
%
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [48] mult(rd(A,B),mult(B,mult(B,B))) -> mult(A,mult(B,B))
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [49] ld(A,mult(B,ld(A,B))) -> mult(ld(A,B),ld(A,B))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 36
% Rule [16] ld(op_a,unit) -> mult(op_a,mult(op_a,op_a)) is composed into
% [16] ld(op_a,unit) -> rd(unit,op_a)
% New rule produced : [50] mult(op_a,mult(op_a,op_a)) -> rd(unit,op_a)
% Rule [7] mult(op_a,mult(op_a,mult(op_a,op_a))) -> unit collapsed.
% Rule [17] rd(unit,mult(op_a,mult(op_a,op_a))) -> op_a collapsed.
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [51] mult(op_a,rd(unit,op_a)) -> unit
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [52] rd(unit,rd(unit,op_a)) -> op_a
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [53] mult(A,mult(op_a,op_a)) -> rd(A,mult(op_a,op_a))
% Rule [50] mult(op_a,mult(op_a,op_a)) -> rd(unit,op_a) collapsed.
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [54] rd(op_a,mult(op_a,op_a)) -> rd(unit,op_a)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [55] rd(A,mult(op_a,op_a)) <-> rd(mult(A,op_a),rd(unit,op_a))
% Current number of equations to process: 37
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [56] rd(mult(A,op_a),rd(unit,op_a)) <-> rd(A,mult(op_a,op_a))
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [57] mult(A,mult(B,B)) <-> rd(mult(A,mult(B,C)),ld(B,C))
% Current number of equations to process: 36
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced : [58] rd(mult(A,mult(B,C)),ld(B,C)) <-> mult(A,mult(B,B))
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [59] mult(rd(A,mult(C,mult(C,B))),mult(C,C)) -> rd(A,B)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [60] mult(A,mult(rd(B,C),rd(B,C))) -> rd(mult(A,mult(rd(B,C),B)),C)
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [61] rd(mult(A,B),mult(C,mult(C,B))) -> rd(A,mult(C,C))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 45
% Rule [28] mult(B,mult(ld(B,A),ld(B,A))) -> mult(A,ld(B,A)) is composed into
% [28] mult(B,mult(ld(B,A),ld(B,A))) -> mult(rd(A,mult(B,B)),mult(B,A))
% New rule produced : [62] mult(A,ld(B,C)) <-> mult(rd(A,mult(B,B)),mult(B,C))
% Rule [4] mult(A,ld(A,B)) -> B collapsed.
% Rule [31] mult(B,mult(C,mult(C,ld(mult(B,mult(C,C)),A)))) -> A collapsed.
% Rule [34] mult(B,mult(B,ld(mult(B,B),A))) -> A collapsed.
% Rule [49] ld(A,mult(B,ld(A,B))) -> mult(ld(A,B),ld(A,B)) collapsed.
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [63] mult(rd(A,mult(A,A)),mult(A,B)) -> B
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [64] ld(rd(A,mult(B,B)),mult(A,C)) -> mult(B,mult(B,C))
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [65] rd(mult(A,mult(B,mult(B,mult(B,B)))),B) -> mult(A,mult(B,mult(B,B)))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [66] rd(mult(A,mult(B,mult(B,mult(C,C)))),C) -> mult(A,mult(B,mult(B,C)))
% Rule
% [65] rd(mult(A,mult(B,mult(B,mult(B,B)))),B) -> mult(A,mult(B,mult(B,B)))
% collapsed.
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [67] ld(A,mult(rd(B,mult(A,A)),mult(A,B))) -> mult(ld(A,B),ld(A,B))
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [68] mult(rd(A,B),mult(B,mult(B,mult(B,B)))) -> mult(A,mult(B,mult(B,B)))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [69]
% ld(mult(op_b,mult(op_b,op_b)),unit) ->
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [70] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B)
% Rule [60] mult(A,mult(rd(B,C),rd(B,C))) -> rd(mult(A,mult(rd(B,C),B)),C)
% collapsed.
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [71] ld(op_a,A) -> mult(op_a,mult(op_a,mult(op_a,A)))
% Rule [16] ld(op_a,unit) -> rd(unit,op_a) collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [72] rd(A,mult(op_a,mult(op_a,mult(op_a,A)))) -> op_a
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [73] rd(A,mult(op_a,A)) -> rd(unit,op_a)
% Rule [54] rd(op_a,mult(op_a,op_a)) -> rd(unit,op_a) collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [74] mult(rd(A,mult(op_a,op_a)),B) -> mult(A,mult(op_a,mult(op_a,B)))
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [75] ld(rd(unit,op_a),A) -> mult(op_a,A)
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [76] rd(A,mult(op_a,mult(op_a,A))) -> mult(op_a,op_a)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [77] ld(mult(op_a,op_a),A) -> mult(op_a,mult(op_a,A))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [78] rd(A,mult(B,B)) <-> rd(rd(A,B),B)
% Rule [63] mult(rd(A,mult(A,A)),mult(A,B)) -> B collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced : [79] mult(rd(unit,A),mult(A,B)) -> B
% Current number of equations to process: 75
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced : [80] rd(rd(A,B),B) <-> rd(A,mult(B,B))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [81] ld(rd(A,mult(B,B)),rd(A,B)) -> B
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [82] mult(A,rd(mult(rd(B,C),B),C)) -> rd(mult(A,mult(rd(B,C),B)),C)
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [83] ld(mult(A,B),mult(rd(A,B),mult(B,mult(B,C)))) -> C
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [84] mult(rd(A,mult(B,B)),rd(A,B)) -> rd(mult(rd(A,mult(B,B)),A),B)
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [85] ld(mult(A,mult(A,B)),mult(A,mult(A,mult(B,B)))) -> B
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [86] rd(mult(rd(A,B),mult(A,B)),B) -> mult(rd(A,B),A)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [87] ld(rd(unit,A),A) -> mult(A,A)
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [88] ld(rd(rd(A,B),B),A) -> mult(B,B)
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [89] rd(rd(A,mult(B,B)),B) -> rd(rd(A,B),mult(B,B))
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [90] ld(mult(A,B),mult(A,mult(B,mult(B,B)))) -> mult(B,B)
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [91] mult(rd(rd(A,C),C),mult(C,mult(C,B))) -> mult(A,B)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [92] ld(rd(A,B),mult(A,mult(B,B))) -> mult(B,mult(B,B))
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [93] rd(mult(A,mult(B,B)),mult(B,mult(B,B))) -> rd(A,B)
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [94] mult(op_a,rd(rd(unit,op_a),op_a)) -> rd(unit,op_a)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 69
% Rule [76] rd(A,mult(op_a,mult(op_a,A))) -> mult(op_a,op_a) is composed into
% [76] rd(A,mult(op_a,mult(op_a,A))) -> rd(op_a,rd(unit,op_a))
% Rule [56] rd(mult(A,op_a),rd(unit,op_a)) <-> rd(A,mult(op_a,op_a)) is composed into
% [56] rd(mult(A,op_a),rd(unit,op_a)) -> rd(A,rd(op_a,rd(unit,op_a)))
% New rule produced : [95] mult(op_a,op_a) -> rd(op_a,rd(unit,op_a))
% Rule [53] mult(A,mult(op_a,op_a)) -> rd(A,mult(op_a,op_a)) collapsed.
% Rule [55] rd(A,mult(op_a,op_a)) <-> rd(mult(A,op_a),rd(unit,op_a)) collapsed.
% Rule [74] mult(rd(A,mult(op_a,op_a)),B) -> mult(A,mult(op_a,mult(op_a,B)))
% collapsed.
% Rule [77] ld(mult(op_a,op_a),A) -> mult(op_a,mult(op_a,A)) collapsed.
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [96] mult(op_a,rd(op_a,rd(unit,op_a))) -> rd(unit,op_a)
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [97] ld(rd(op_a,rd(unit,op_a)),A) -> mult(op_a,mult(op_a,A))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [98] rd(unit,rd(rd(unit,op_a),op_a)) -> rd(op_a,rd(unit,op_a))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [99] rd(rd(unit,op_a),op_a) -> rd(op_a,rd(unit,op_a))
% Rule [94] mult(op_a,rd(rd(unit,op_a),op_a)) -> rd(unit,op_a) collapsed.
% Rule [98] rd(unit,rd(rd(unit,op_a),op_a)) -> rd(op_a,rd(unit,op_a))
% collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [100] rd(unit,rd(op_a,rd(unit,op_a))) -> rd(op_a,rd(unit,op_a))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [101] mult(A,rd(op_a,rd(unit,op_a))) -> rd(A,rd(op_a,rd(unit,op_a)))
% Rule [96] mult(op_a,rd(op_a,rd(unit,op_a))) -> rd(unit,op_a) collapsed.
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [102] rd(op_a,rd(op_a,rd(unit,op_a))) -> rd(unit,op_a)
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [103] rd(rd(A,op_a),rd(op_a,rd(unit,op_a))) -> rd(A,rd(unit,op_a))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [104] mult(rd(A,rd(op_a,rd(unit,op_a))),B) -> mult(A,mult(op_a,mult(op_a,B)))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [105] ld(rd(A,rd(op_a,rd(unit,op_a))),mult(A,op_a)) -> rd(unit,op_a)
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [106] rd(mult(A,B),ld(A,B)) -> mult(A,A)
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [107] mult(A,rd(unit,op_a)) -> rd(mult(A,op_a),rd(op_a,rd(unit,op_a)))
% Rule [51] mult(op_a,rd(unit,op_a)) -> unit collapsed.
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [108] ld(A,rd(mult(A,mult(B,C)),ld(B,C))) -> mult(B,B)
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [109] ld(mult(A,B),rd(mult(A,mult(B,C)),ld(B,C))) -> B
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [110] rd(rd(mult(A,mult(B,C)),ld(B,C)),mult(B,B)) -> A
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [111] rd(mult(rd(A,mult(B,B)),mult(B,C)),ld(B,C)) -> A
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [112] rd(mult(A,B),ld(B,unit)) <-> mult(A,mult(B,B))
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced : [113] mult(A,mult(B,B)) <-> rd(mult(A,B),ld(B,unit))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [114] rd(A,ld(B,C)) <-> mult(rd(A,mult(B,C)),mult(B,B))
% Rule [14] rd(A,ld(B,A)) -> B collapsed.
% Rule [106] rd(mult(A,B),ld(A,B)) -> mult(A,A) collapsed.
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced : [115] mult(rd(A,mult(B,A)),mult(B,B)) -> B
% Current number of equations to process: 144
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced : [116] mult(rd(A,mult(B,C)),mult(B,B)) <-> rd(A,ld(B,C))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [117] rd(rd(mult(A,mult(B,C)),ld(B,C)),B) -> mult(A,B)
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [118] rd(mult(rd(A,B),mult(B,C)),ld(B,C)) -> mult(A,B)
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [119] rd(mult(A,B),ld(rd(B,C),C)) <-> rd(mult(A,mult(rd(B,C),B)),C)
% Current number of equations to process: 141
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [120] rd(mult(A,mult(rd(B,C),B)),C) <-> rd(mult(A,B),ld(rd(B,C),C))
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [121] ld(mult(A,mult(B,B)),mult(A,mult(B,C))) -> ld(B,C)
% Rule [32] ld(mult(A,mult(B,B)),mult(A,mult(B,mult(B,C)))) -> C collapsed.
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [122] rd(A,mult(C,mult(C,B))) <-> rd(rd(A,B),mult(C,C))
% Rule [72] rd(A,mult(op_a,mult(op_a,mult(op_a,A)))) -> op_a collapsed.
% Rule [76] rd(A,mult(op_a,mult(op_a,A))) -> rd(op_a,rd(unit,op_a)) collapsed.
% Current number of equations to process: 154
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced : [123] rd(rd(A,B),mult(C,C)) <-> rd(A,mult(C,mult(C,B)))
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [124] ld(rd(A,mult(B,mult(B,C))),rd(A,C)) -> mult(B,B)
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [125] ld(mult(rd(A,mult(B,mult(B,C))),B),rd(A,C)) -> B
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [126] rd(mult(rd(A,B),mult(A,B)),mult(B,B)) -> rd(mult(rd(A,B),A),B)
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [127] rd(mult(A,B),mult(B,mult(B,mult(B,B)))) -> rd(rd(A,B),mult(B,B))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [128] ld(rd(rd(A,B),mult(B,B)),mult(A,B)) -> mult(B,mult(B,mult(B,B)))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [129] ld(rd(A,B),mult(A,mult(B,mult(B,B)))) -> mult(B,mult(B,mult(B,B)))
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [130] mult(rd(mult(A,mult(B,C)),ld(B,C)),V_3) -> mult(A,mult(B,mult(B,V_3)))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [131] mult(rd(A,mult(C,mult(C,B))),C) -> rd(rd(A,B),C)
% Rule [125] ld(mult(rd(A,mult(B,mult(B,C))),B),rd(A,C)) -> B collapsed.
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [132] rd(A,mult(op_a,mult(op_a,B))) <-> rd(rd(A,B),rd(op_a,rd(unit,op_a)))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [133] rd(rd(A,B),rd(op_a,rd(unit,op_a))) <-> rd(A,mult(op_a,mult(op_a,B)))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [134] rd(A,rd(mult(rd(C,B),C),B)) <-> rd(mult(A,B),mult(rd(C,B),C))
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [135] rd(mult(A,B),mult(rd(C,B),C)) <-> rd(A,rd(mult(rd(C,B),C),B))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 96
% Rule [120] rd(mult(A,mult(rd(B,C),B)),C) <-> rd(mult(A,B),ld(rd(B,C),C)) is composed into
% [120]
% rd(mult(A,mult(rd(B,C),B)),C) <->
% rd(mult(A,B),mult(rd(rd(unit,rd(B,C)),rd(B,C)),mult(rd(B,C),C)))
% Rule [116] mult(rd(A,mult(B,C)),mult(B,B)) <-> rd(A,ld(B,C)) is composed into
% [116]
% mult(rd(A,mult(B,C)),mult(B,B)) -> rd(A,mult(rd(rd(unit,B),B),mult(B,C)))
% Rule [113] mult(A,mult(B,B)) <-> rd(mult(A,B),ld(B,unit)) is composed into
% [113] mult(A,mult(B,B)) <-> rd(mult(A,B),mult(rd(rd(unit,B),B),mult(B,unit)))
% Rule [57] mult(A,mult(B,B)) <-> rd(mult(A,mult(B,C)),ld(B,C)) is composed into
% [57]
% mult(A,mult(B,B)) <-> rd(mult(A,mult(B,C)),mult(rd(rd(unit,B),B),mult(B,C)))
% New rule produced : [136] ld(A,B) -> mult(rd(rd(unit,A),A),mult(A,B))
% Rule [6] ld(A,mult(A,B)) -> B collapsed.
% Rule [12] ld(unit,A) -> A collapsed.
% Rule [13] ld(A,A) -> unit collapsed.
% Rule [15] ld(rd(A,B),A) -> B collapsed.
% Rule
% [23]
% ld(op_b,unit) ->
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))
% collapsed.
% Rule [26] ld(mult(A,B),mult(A,mult(B,B))) -> B collapsed.
% Rule [28] mult(B,mult(ld(B,A),ld(B,A))) -> mult(rd(A,mult(B,B)),mult(B,A))
% collapsed.
% Rule [35] ld(mult(A,A),mult(A,mult(A,B))) -> B collapsed.
% Rule [46] ld(rd(A,B),mult(A,B)) -> mult(B,B) collapsed.
% Rule [58] rd(mult(A,mult(B,C)),ld(B,C)) <-> mult(A,mult(B,B)) collapsed.
% Rule [62] mult(A,ld(B,C)) <-> mult(rd(A,mult(B,B)),mult(B,C)) collapsed.
% Rule [64] ld(rd(A,mult(B,B)),mult(A,C)) -> mult(B,mult(B,C)) collapsed.
% Rule [67] ld(A,mult(rd(B,mult(A,A)),mult(A,B))) -> mult(ld(A,B),ld(A,B))
% collapsed.
% Rule
% [69]
% ld(mult(op_b,mult(op_b,op_b)),unit) ->
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))) collapsed.
% Rule [71] ld(op_a,A) -> mult(op_a,mult(op_a,mult(op_a,A))) collapsed.
% Rule [75] ld(rd(unit,op_a),A) -> mult(op_a,A) collapsed.
% Rule [81] ld(rd(A,mult(B,B)),rd(A,B)) -> B collapsed.
% Rule [83] ld(mult(A,B),mult(rd(A,B),mult(B,mult(B,C)))) -> C collapsed.
% Rule [85] ld(mult(A,mult(A,B)),mult(A,mult(A,mult(B,B)))) -> B collapsed.
% Rule [87] ld(rd(unit,A),A) -> mult(A,A) collapsed.
% Rule [88] ld(rd(rd(A,B),B),A) -> mult(B,B) collapsed.
% Rule [90] ld(mult(A,B),mult(A,mult(B,mult(B,B)))) -> mult(B,B) collapsed.
% Rule [92] ld(rd(A,B),mult(A,mult(B,B))) -> mult(B,mult(B,B)) collapsed.
% Rule [97] ld(rd(op_a,rd(unit,op_a)),A) -> mult(op_a,mult(op_a,A)) collapsed.
% Rule [105] ld(rd(A,rd(op_a,rd(unit,op_a))),mult(A,op_a)) -> rd(unit,op_a)
% collapsed.
% Rule [108] ld(A,rd(mult(A,mult(B,C)),ld(B,C))) -> mult(B,B) collapsed.
% Rule [109] ld(mult(A,B),rd(mult(A,mult(B,C)),ld(B,C))) -> B collapsed.
% Rule [110] rd(rd(mult(A,mult(B,C)),ld(B,C)),mult(B,B)) -> A collapsed.
% Rule [111] rd(mult(rd(A,mult(B,B)),mult(B,C)),ld(B,C)) -> A collapsed.
% Rule [112] rd(mult(A,B),ld(B,unit)) <-> mult(A,mult(B,B)) collapsed.
% Rule [114] rd(A,ld(B,C)) <-> mult(rd(A,mult(B,C)),mult(B,B)) collapsed.
% Rule [117] rd(rd(mult(A,mult(B,C)),ld(B,C)),B) -> mult(A,B) collapsed.
% Rule [118] rd(mult(rd(A,B),mult(B,C)),ld(B,C)) -> mult(A,B) collapsed.
% Rule [119] rd(mult(A,B),ld(rd(B,C),C)) <-> rd(mult(A,mult(rd(B,C),B)),C)
% collapsed.
% Rule [121] ld(mult(A,mult(B,B)),mult(A,mult(B,C))) -> ld(B,C) collapsed.
% Rule [124] ld(rd(A,mult(B,mult(B,C))),rd(A,C)) -> mult(B,B) collapsed.
% Rule [128] ld(rd(rd(A,B),mult(B,B)),mult(A,B)) -> mult(B,mult(B,mult(B,B)))
% collapsed.
% Rule [129] ld(rd(A,B),mult(A,mult(B,mult(B,B)))) -> mult(B,mult(B,mult(B,B)))
% collapsed.
% Rule
% [130] mult(rd(mult(A,mult(B,C)),ld(B,C)),V_3) -> mult(A,mult(B,mult(B,V_3)))
% collapsed.
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [137]
% mult(rd(op_a,rd(unit,op_a)),mult(op_a,A)) ->
% mult(op_a,mult(op_a,mult(op_a,A)))
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [138]
% mult(rd(rd(unit,A),A),mult(A,mult(rd(A,mult(B,B)),mult(B,C)))) ->
% mult(rd(rd(unit,B),B),mult(B,C))
% Current number of equations to process: 228
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [139] rd(rd(A,B),mult(C,mult(C,B))) <-> rd(rd(A,mult(B,B)),mult(C,C))
% Current number of equations to process: 227
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [140] rd(rd(A,mult(B,B)),mult(C,C)) <-> rd(rd(A,B),mult(C,mult(C,B)))
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [141]
% mult(rd(rd(A,mult(rd(rd(unit,B),B),mult(B,C))),mult(B,B)),mult(B,C)) -> A
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [142] rd(mult(A,mult(A,mult(B,mult(B,C)))),C) -> mult(A,mult(A,mult(B,B)))
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [143] rd(mult(A,B),mult(C,mult(C,mult(B,B)))) -> rd(rd(A,B),mult(C,C))
% Rule [127] rd(mult(A,B),mult(B,mult(B,mult(B,B)))) -> rd(rd(A,B),mult(B,B))
% collapsed.
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [144] mult(rd(rd(unit,rd(A,B)),rd(A,B)),mult(rd(A,B),A)) -> B
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [145]
% mult(op_b,mult(op_b,op_b)) ->
% rd(rd(rd(rd(rd(rd(unit,op_b),op_b),op_b),op_b),op_b),op_b)
% Rule
% [9]
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,
% mult(op_b,op_b))))))))
% -> unit collapsed.
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [146]
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,rd(rd(rd(
% rd(
% rd(
% rd(unit,op_b),op_b),op_b),op_b),op_b),op_b)))))))
% -> unit
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [147] rd(mult(A,mult(B,mult(B,B))),mult(B,B)) -> mult(A,B)
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [148] rd(A,mult(B,A)) -> rd(unit,B)
% Rule [73] rd(A,mult(op_a,A)) -> rd(unit,op_a) collapsed.
% Rule [115] mult(rd(A,mult(B,A)),mult(B,B)) -> B collapsed.
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [149] mult(rd(unit,rd(A,B)),A) -> B
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [150] mult(rd(unit,rd(A,B)),mult(A,B)) -> mult(B,B)
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [151] mult(rd(unit,op_a),A) -> mult(op_a,mult(op_a,mult(op_a,A)))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [152] rd(mult(rd(unit,A),B),mult(A,B)) -> rd(rd(unit,A),A)
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [153] mult(rd(unit,rd(A,mult(B,B))),rd(A,B)) -> B
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [154] rd(A,mult(rd(rd(unit,B),B),mult(B,A))) -> B
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [155] mult(rd(unit,rd(unit,A)),B) -> mult(A,B)
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [156] mult(A,rd(rd(unit,B),B)) -> rd(mult(A,rd(unit,B)),B)
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [157] rd(mult(A,mult(A,B)),mult(B,B)) -> rd(mult(A,A),B)
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [158] rd(rd(mult(rd(A,B),A),B),rd(A,B)) -> rd(A,B)
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [159] mult(rd(mult(rd(A,B),A),B),C) -> mult(rd(A,B),mult(rd(A,B),C))
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [160] rd(A,rd(mult(rd(B,C),B),C)) <-> rd(rd(A,rd(B,C)),rd(B,C))
% Current number of equations to process: 311
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [161] rd(rd(A,rd(B,C)),rd(B,C)) <-> rd(A,rd(mult(rd(B,C),B),C))
% Current number of equations to process: 311
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [162] mult(rd(unit,rd(A,mult(B,B))),mult(A,C)) -> mult(B,mult(B,C))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [163] mult(rd(unit,rd(A,B)),mult(A,mult(B,B))) -> mult(B,mult(B,B))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [164] rd(A,mult(B,mult(B,mult(B,B)))) <-> rd(rd(rd(A,B),B),mult(B,B))
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [165] rd(rd(rd(A,B),B),mult(B,B)) <-> rd(A,mult(B,mult(B,mult(B,B))))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [166] rd(mult(A,mult(rd(op_a,rd(unit,op_a)),op_a)),rd(unit,op_a)) -> A
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [167]
% mult(rd(op_a,rd(unit,op_a)),op_a) -> rd(rd(op_a,rd(unit,op_a)),rd(unit,op_a))
% Rule [166] rd(mult(A,mult(rd(op_a,rd(unit,op_a)),op_a)),rd(unit,op_a)) -> A
% collapsed.
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [168] mult(rd(rd(A,op_a),op_a),B) -> mult(A,mult(op_a,mult(op_a,B)))
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 85
% Rule [107] mult(A,rd(unit,op_a)) -> rd(mult(A,op_a),rd(op_a,rd(unit,op_a))) is composed into
% [107] mult(A,rd(unit,op_a)) -> rd(rd(A,rd(unit,op_a)),rd(op_a,rd(unit,op_a)))
% New rule produced : [169] mult(A,op_a) -> rd(A,rd(unit,op_a))
% Rule [56] rd(mult(A,op_a),rd(unit,op_a)) -> rd(A,rd(op_a,rd(unit,op_a)))
% collapsed.
% Rule [95] mult(op_a,op_a) -> rd(op_a,rd(unit,op_a)) collapsed.
% Rule
% [167]
% mult(rd(op_a,rd(unit,op_a)),op_a) -> rd(rd(op_a,rd(unit,op_a)),rd(unit,op_a))
% collapsed.
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [170] rd(rd(op_a,rd(unit,op_a)),op_a) -> op_a
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [171] rd(rd(A,rd(op_a,rd(unit,op_a))),op_a) -> rd(A,rd(unit,op_a))
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [172] rd(rd(op_a,rd(unit,op_a)),rd(unit,op_a)) -> rd(unit,op_a)
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [173] rd(rd(A,rd(unit,op_a)),op_a) -> A
% Rule [170] rd(rd(op_a,rd(unit,op_a)),op_a) -> op_a collapsed.
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [174] rd(rd(A,rd(unit,op_a)),rd(unit,op_a)) -> rd(A,rd(op_a,rd(unit,op_a)))
% Rule [172] rd(rd(op_a,rd(unit,op_a)),rd(unit,op_a)) -> rd(unit,op_a)
% collapsed.
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 86
% Rule [107]
% mult(A,rd(unit,op_a)) -> rd(rd(A,rd(unit,op_a)),rd(op_a,rd(unit,op_a))) is composed into
% [107] mult(A,rd(unit,op_a)) -> rd(A,op_a)
% New rule produced :
% [175] rd(rd(A,rd(unit,op_a)),rd(op_a,rd(unit,op_a))) -> rd(A,op_a)
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [176] mult(rd(op_a,rd(unit,op_a)),A) -> mult(op_a,mult(op_a,A))
% Rule
% [137]
% mult(rd(op_a,rd(unit,op_a)),mult(op_a,A)) ->
% mult(op_a,mult(op_a,mult(op_a,A))) collapsed.
% Current number of equations to process: 441
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [177] rd(rd(A,op_a),rd(unit,op_a)) -> A
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [178] rd(mult(A,rd(A,op_a)),rd(unit,op_a)) -> mult(A,A)
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [179] mult(rd(A,B),mult(B,rd(B,op_a))) -> rd(mult(A,B),op_a)
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [180] rd(rd(A,op_a),mult(B,rd(B,op_a))) -> rd(A,mult(B,B))
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [181] mult(rd(A,rd(unit,op_a)),B) -> mult(rd(A,op_a),mult(op_a,mult(op_a,B)))
% Rule [176] mult(rd(op_a,rd(unit,op_a)),A) -> mult(op_a,mult(op_a,A))
% collapsed.
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [182] mult(rd(A,mult(B,B)),mult(B,rd(B,op_a))) -> rd(A,op_a)
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [183] mult(rd(unit,A),rd(A,op_a)) -> rd(unit,op_a)
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 93
% Rule [180] rd(rd(A,op_a),mult(B,rd(B,op_a))) -> rd(A,mult(B,B)) is composed into
% [180] rd(rd(A,op_a),mult(B,rd(B,op_a))) -> rd(A,rd(B,rd(unit,B)))
% Rule [178] rd(mult(A,rd(A,op_a)),rd(unit,op_a)) -> mult(A,A) is composed into
% [178] rd(mult(A,rd(A,op_a)),rd(unit,op_a)) -> rd(A,rd(unit,A))
% Rule [150] mult(rd(unit,rd(A,B)),mult(A,B)) -> mult(B,B) is composed into
% [150] mult(rd(unit,rd(A,B)),mult(A,B)) -> rd(B,rd(unit,B))
% Rule [142]
% rd(mult(A,mult(A,mult(B,mult(B,C)))),C) -> mult(A,mult(A,mult(B,B))) is composed into
% [142]
% rd(mult(A,mult(A,mult(B,mult(B,C)))),C) -> mult(A,mult(A,rd(B,rd(unit,B))))
% Rule [139] rd(rd(A,B),mult(C,mult(C,B))) <-> rd(rd(A,mult(B,B)),mult(C,C)) is composed into
% [139]
% rd(rd(A,B),mult(C,mult(C,B))) <-> rd(rd(A,rd(B,rd(unit,B))),rd(C,rd(unit,C)))
% Rule [122] rd(A,mult(C,mult(C,B))) <-> rd(rd(A,B),mult(C,C)) is composed into
% [122] rd(A,mult(C,mult(C,B))) <-> rd(rd(A,B),rd(C,rd(unit,C)))
% Rule [80] rd(rd(A,B),B) <-> rd(A,mult(B,B)) is composed into [80]
% rd(rd(A,B),B) ->
% rd(A,rd(B,
% rd(unit,B)))
% Rule [61] rd(mult(A,B),mult(C,mult(C,B))) -> rd(A,mult(C,C)) is composed into
% [61] rd(mult(A,B),mult(C,mult(C,B))) -> rd(A,rd(C,rd(unit,C)))
% Rule [33] rd(mult(A,mult(A,B)),B) -> mult(A,A) is composed into [33]
% rd(mult(A,
% mult(A,B)),B)
% ->
% rd(A,
% rd(unit,A))
% Rule [29] rd(mult(A,mult(B,mult(B,C))),C) -> mult(A,mult(B,B)) is composed into
% [29] rd(mult(A,mult(B,mult(B,C))),C) -> mult(A,rd(B,rd(unit,B)))
% New rule produced : [184] mult(A,A) -> rd(A,rd(unit,A))
% Rule [24] rd(mult(A,mult(B,B)),B) -> mult(A,B) collapsed.
% Rule [25] mult(rd(A,B),mult(B,B)) -> mult(A,B) collapsed.
% Rule [30] mult(rd(A,mult(C,C)),mult(C,mult(C,B))) -> mult(A,B) collapsed.
% Rule [43] mult(rd(A,mult(B,B)),B) -> rd(A,B) collapsed.
% Rule [44] rd(mult(A,mult(A,mult(B,B))),B) -> mult(A,mult(A,B)) collapsed.
% Rule [45] rd(mult(A,B),mult(B,B)) -> rd(A,B) collapsed.
% Rule [48] mult(rd(A,B),mult(B,mult(B,B))) -> mult(A,mult(B,B)) collapsed.
% Rule
% [57]
% mult(A,mult(B,B)) <-> rd(mult(A,mult(B,C)),mult(rd(rd(unit,B),B),mult(B,C)))
% collapsed.
% Rule [59] mult(rd(A,mult(C,mult(C,B))),mult(C,C)) -> rd(A,B) collapsed.
% Rule
% [66] rd(mult(A,mult(B,mult(B,mult(C,C)))),C) -> mult(A,mult(B,mult(B,C)))
% collapsed.
% Rule
% [68] mult(rd(A,B),mult(B,mult(B,mult(B,B)))) -> mult(A,mult(B,mult(B,B)))
% collapsed.
% Rule [70] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B) collapsed.
% Rule [78] rd(A,mult(B,B)) <-> rd(rd(A,B),B) collapsed.
% Rule [84] mult(rd(A,mult(B,B)),rd(A,B)) -> rd(mult(rd(A,mult(B,B)),A),B)
% collapsed.
% Rule [89] rd(rd(A,mult(B,B)),B) -> rd(rd(A,B),mult(B,B)) collapsed.
% Rule [93] rd(mult(A,mult(B,B)),mult(B,mult(B,B))) -> rd(A,B) collapsed.
% Rule
% [113] mult(A,mult(B,B)) <-> rd(mult(A,B),mult(rd(rd(unit,B),B),mult(B,unit)))
% collapsed.
% Rule
% [116]
% mult(rd(A,mult(B,C)),mult(B,B)) -> rd(A,mult(rd(rd(unit,B),B),mult(B,C)))
% collapsed.
% Rule [123] rd(rd(A,B),mult(C,C)) <-> rd(A,mult(C,mult(C,B))) collapsed.
% Rule [126] rd(mult(rd(A,B),mult(A,B)),mult(B,B)) -> rd(mult(rd(A,B),A),B)
% collapsed.
% Rule
% [138]
% mult(rd(rd(unit,A),A),mult(A,mult(rd(A,mult(B,B)),mult(B,C)))) ->
% mult(rd(rd(unit,B),B),mult(B,C)) collapsed.
% Rule [140] rd(rd(A,mult(B,B)),mult(C,C)) <-> rd(rd(A,B),mult(C,mult(C,B)))
% collapsed.
% Rule
% [141]
% mult(rd(rd(A,mult(rd(rd(unit,B),B),mult(B,C))),mult(B,B)),mult(B,C)) -> A
% collapsed.
% Rule [143] rd(mult(A,B),mult(C,mult(C,mult(B,B)))) -> rd(rd(A,B),mult(C,C))
% collapsed.
% Rule
% [145]
% mult(op_b,mult(op_b,op_b)) ->
% rd(rd(rd(rd(rd(rd(unit,op_b),op_b),op_b),op_b),op_b),op_b) collapsed.
% Rule [147] rd(mult(A,mult(B,mult(B,B))),mult(B,B)) -> mult(A,B) collapsed.
% Rule [153] mult(rd(unit,rd(A,mult(B,B))),rd(A,B)) -> B collapsed.
% Rule [157] rd(mult(A,mult(A,B)),mult(B,B)) -> rd(mult(A,A),B) collapsed.
% Rule [162] mult(rd(unit,rd(A,mult(B,B))),mult(A,C)) -> mult(B,mult(B,C))
% collapsed.
% Rule [163] mult(rd(unit,rd(A,B)),mult(A,mult(B,B))) -> mult(B,mult(B,B))
% collapsed.
% Rule [164] rd(A,mult(B,mult(B,mult(B,B)))) <-> rd(rd(rd(A,B),B),mult(B,B))
% collapsed.
% Rule [165] rd(rd(rd(A,B),B),mult(B,B)) <-> rd(A,mult(B,mult(B,mult(B,B))))
% collapsed.
% Rule [182] mult(rd(A,mult(B,B)),mult(B,rd(B,op_a))) -> rd(A,op_a) collapsed.
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [185] rd(mult(A,rd(B,rd(unit,B))),B) -> mult(A,B)
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [186] mult(rd(A,B),rd(B,rd(unit,B))) -> mult(A,B)
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [187] mult(rd(A,rd(B,rd(unit,B))),B) -> rd(A,B)
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [188] rd(mult(A,B),rd(B,rd(unit,B))) -> rd(A,B)
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 65
% Rule [142]
% rd(mult(A,mult(A,mult(B,mult(B,C)))),C) ->
% mult(A,mult(A,rd(B,rd(unit,B)))) is composed into [142]
% rd(mult(A,mult(A,
% mult(B,
% mult(B,C)))),C)
% ->
% mult(A,rd(mult(A,B),
% rd(unit,B)))
% Rule [29] rd(mult(A,mult(B,mult(B,C))),C) -> mult(A,rd(B,rd(unit,B))) is composed into
% [29] rd(mult(A,mult(B,mult(B,C))),C) -> rd(mult(A,B),rd(unit,B))
% New rule produced :
% [189] mult(A,rd(B,rd(unit,B))) -> rd(mult(A,B),rd(unit,B))
% Rule [101] mult(A,rd(op_a,rd(unit,op_a))) -> rd(A,rd(op_a,rd(unit,op_a)))
% collapsed.
% Rule [185] rd(mult(A,rd(B,rd(unit,B))),B) -> mult(A,B) collapsed.
% Rule [186] mult(rd(A,B),rd(B,rd(unit,B))) -> mult(A,B) collapsed.
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [190] rd(rd(mult(A,B),rd(unit,B)),B) -> mult(A,B)
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 64
% Rule [161] rd(rd(A,rd(B,C)),rd(B,C)) <-> rd(A,rd(mult(rd(B,C),B),C)) is composed into
% [161] rd(rd(A,rd(B,C)),rd(B,C)) <-> rd(A,rd(rd(rd(B,C),rd(unit,B)),C))
% Rule [136] ld(A,B) -> mult(rd(rd(unit,A),A),mult(A,B)) is composed into
% [136] ld(A,B) -> rd(rd(rd(unit,A),A),rd(unit,rd(A,rd(unit,B))))
% Rule [133]
% rd(rd(A,B),rd(op_a,rd(unit,op_a))) <-> rd(A,mult(op_a,mult(op_a,B))) is composed into
% [133]
% rd(rd(A,B),rd(op_a,rd(unit,op_a))) ->
% rd(A,rd(op_a,rd(unit,rd(op_a,rd(unit,B)))))
% New rule produced : [191] mult(A,B) -> rd(A,rd(unit,B))
% Rule [1] mult(A,unit) -> A collapsed.
% Rule [2] mult(unit,A) -> A collapsed.
% Rule [3] rd(mult(A,B),B) -> A collapsed.
% Rule [5] mult(rd(A,B),B) -> A collapsed.
% Rule [29] rd(mult(A,mult(B,mult(B,C))),C) -> rd(mult(A,B),rd(unit,B))
% collapsed.
% Rule [33] rd(mult(A,mult(A,B)),B) -> rd(A,rd(unit,A)) collapsed.
% Rule [36] mult(op_a,mult(op_a,mult(op_a,mult(op_a,A)))) -> A collapsed.
% Rule [47] mult(mult(A,B),C) -> mult(rd(A,B),mult(B,mult(B,C))) collapsed.
% Rule [61] rd(mult(A,B),mult(C,mult(C,B))) -> rd(A,rd(C,rd(unit,C)))
% collapsed.
% Rule [79] mult(rd(unit,A),mult(A,B)) -> B collapsed.
% Rule [82] mult(A,rd(mult(rd(B,C),B),C)) -> rd(mult(A,mult(rd(B,C),B)),C)
% collapsed.
% Rule [86] rd(mult(rd(A,B),mult(A,B)),B) -> mult(rd(A,B),A) collapsed.
% Rule [91] mult(rd(rd(A,C),C),mult(C,mult(C,B))) -> mult(A,B) collapsed.
% Rule
% [104] mult(rd(A,rd(op_a,rd(unit,op_a))),B) -> mult(A,mult(op_a,mult(op_a,B)))
% collapsed.
% Rule [107] mult(A,rd(unit,op_a)) -> rd(A,op_a) collapsed.
% Rule
% [120]
% rd(mult(A,mult(rd(B,C),B)),C) <->
% rd(mult(A,B),mult(rd(rd(unit,rd(B,C)),rd(B,C)),mult(rd(B,C),C))) collapsed.
% Rule [122] rd(A,mult(C,mult(C,B))) <-> rd(rd(A,B),rd(C,rd(unit,C)))
% collapsed.
% Rule [131] mult(rd(A,mult(C,mult(C,B))),C) -> rd(rd(A,B),C) collapsed.
% Rule
% [132] rd(A,mult(op_a,mult(op_a,B))) <-> rd(rd(A,B),rd(op_a,rd(unit,op_a)))
% collapsed.
% Rule [134] rd(A,rd(mult(rd(C,B),C),B)) <-> rd(mult(A,B),mult(rd(C,B),C))
% collapsed.
% Rule [135] rd(mult(A,B),mult(rd(C,B),C)) <-> rd(A,rd(mult(rd(C,B),C),B))
% collapsed.
% Rule
% [139]
% rd(rd(A,B),mult(C,mult(C,B))) <-> rd(rd(A,rd(B,rd(unit,B))),rd(C,rd(unit,C)))
% collapsed.
% Rule
% [142]
% rd(mult(A,mult(A,mult(B,mult(B,C)))),C) -> mult(A,rd(mult(A,B),rd(unit,B)))
% collapsed.
% Rule [144] mult(rd(rd(unit,rd(A,B)),rd(A,B)),mult(rd(A,B),A)) -> B collapsed.
% Rule
% [146]
% mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,rd(rd(rd(
% rd(
% rd(
% rd(unit,op_b),op_b),op_b),op_b),op_b),op_b)))))))
% -> unit collapsed.
% Rule [148] rd(A,mult(B,A)) -> rd(unit,B) collapsed.
% Rule [149] mult(rd(unit,rd(A,B)),A) -> B collapsed.
% Rule [150] mult(rd(unit,rd(A,B)),mult(A,B)) -> rd(B,rd(unit,B)) collapsed.
% Rule [151] mult(rd(unit,op_a),A) -> mult(op_a,mult(op_a,mult(op_a,A)))
% collapsed.
% Rule [152] rd(mult(rd(unit,A),B),mult(A,B)) -> rd(rd(unit,A),A) collapsed.
% Rule [154] rd(A,mult(rd(rd(unit,B),B),mult(B,A))) -> B collapsed.
% Rule [155] mult(rd(unit,rd(unit,A)),B) -> mult(A,B) collapsed.
% Rule [156] mult(A,rd(rd(unit,B),B)) -> rd(mult(A,rd(unit,B)),B) collapsed.
% Rule [158] rd(rd(mult(rd(A,B),A),B),rd(A,B)) -> rd(A,B) collapsed.
% Rule [159] mult(rd(mult(rd(A,B),A),B),C) -> mult(rd(A,B),mult(rd(A,B),C))
% collapsed.
% Rule [160] rd(A,rd(mult(rd(B,C),B),C)) <-> rd(rd(A,rd(B,C)),rd(B,C))
% collapsed.
% Rule [168] mult(rd(rd(A,op_a),op_a),B) -> mult(A,mult(op_a,mult(op_a,B)))
% collapsed.
% Rule [169] mult(A,op_a) -> rd(A,rd(unit,op_a)) collapsed.
% Rule [178] rd(mult(A,rd(A,op_a)),rd(unit,op_a)) -> rd(A,rd(unit,A))
% collapsed.
% Rule [179] mult(rd(A,B),mult(B,rd(B,op_a))) -> rd(mult(A,B),op_a) collapsed.
% Rule [180] rd(rd(A,op_a),mult(B,rd(B,op_a))) -> rd(A,rd(B,rd(unit,B)))
% collapsed.
% Rule
% [181] mult(rd(A,rd(unit,op_a)),B) -> mult(rd(A,op_a),mult(op_a,mult(op_a,B)))
% collapsed.
% Rule [183] mult(rd(unit,A),rd(A,op_a)) -> rd(unit,op_a) collapsed.
% Rule [184] mult(A,A) -> rd(A,rd(unit,A)) collapsed.
% Rule [187] mult(rd(A,rd(B,rd(unit,B))),B) -> rd(A,B) collapsed.
% Rule [188] rd(mult(A,B),rd(B,rd(unit,B))) -> rd(A,B) collapsed.
% Rule [189] mult(A,rd(B,rd(unit,B))) -> rd(mult(A,B),rd(unit,B)) collapsed.
% Rule [190] rd(rd(mult(A,B),rd(unit,B)),B) -> mult(A,B) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% rd(op_a,rd(unit,rd(op_b,rd(unit,a)))) = rd(rd(op_a,op_b),rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,a))))))
%
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [192] rd(unit,rd(unit,A)) -> A
% Rule [52] rd(unit,rd(unit,op_a)) -> op_a collapsed.
% Current number of equations to process: 515
% Current number of ordered equations: 4
% Current number of rules: 17
% New rule produced : [193] rd(rd(A,B),rd(unit,B)) -> A
% Rule [177] rd(rd(A,op_a),rd(unit,op_a)) -> A collapsed.
% Current number of equations to process: 515
% Current number of ordered equations: 3
% Current number of rules: 17
% New rule produced : [194] rd(rd(A,rd(unit,B)),B) -> A
% Rule [173] rd(rd(A,rd(unit,op_a)),op_a) -> A collapsed.
% Current number of equations to process: 515
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced : [195] rd(rd(unit,A),rd(unit,rd(A,rd(unit,B)))) -> B
% Current number of equations to process: 515
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [196]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(rd(unit,
% rd(
% rd(op_b,
% rd(unit,op_b)),
% rd(unit,
% rd(op_b,
% rd(unit,op_b))))),
% rd(op_b,
% rd(unit,op_b)))))))))))))))
% -> unit
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [197] rd(A,rd(B,rd(unit,A))) <-> rd(unit,B)
% Rule [102] rd(op_a,rd(op_a,rd(unit,op_a))) -> rd(unit,op_a) collapsed.
% Current number of equations to process: 515
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced : [198] rd(unit,B) <-> rd(A,rd(B,rd(unit,A)))
% Rule [99] rd(rd(unit,op_a),op_a) -> rd(op_a,rd(unit,op_a)) collapsed.
% Rule [100] rd(unit,rd(op_a,rd(unit,op_a))) -> rd(op_a,rd(unit,op_a))
% collapsed.
% Rule [103] rd(rd(A,op_a),rd(op_a,rd(unit,op_a))) -> rd(A,rd(unit,op_a))
% collapsed.
% Rule
% [133]
% rd(rd(A,B),rd(op_a,rd(unit,op_a))) ->
% rd(A,rd(op_a,rd(unit,rd(op_a,rd(unit,B))))) collapsed.
% Rule [171] rd(rd(A,rd(op_a,rd(unit,op_a))),op_a) -> rd(A,rd(unit,op_a))
% collapsed.
% Rule
% [174] rd(rd(A,rd(unit,op_a)),rd(unit,op_a)) -> rd(A,rd(op_a,rd(unit,op_a)))
% collapsed.
% Rule [175] rd(rd(A,rd(unit,op_a)),rd(op_a,rd(unit,op_a))) -> rd(A,op_a)
% collapsed.
% Rule
% [196]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(rd(unit,
% rd(
% rd(op_b,
% rd(unit,op_b)),
% rd(unit,
% rd(op_b,
% rd(unit,op_b))))),
% rd(op_b,
% rd(unit,op_b)))))))))))))))
% -> unit collapsed.
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [199]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(rd(unit,
% rd(
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a))))))),
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))
% -> unit
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [200] rd(rd(unit,rd(A,B)),rd(unit,A)) -> B
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [201] rd(rd(unit,A),rd(unit,rd(A,op_a))) -> rd(a,rd(op_a,rd(unit,a)))
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [202] rd(rd(A,rd(B,rd(unit,B))),rd(unit,B)) -> rd(A,B)
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [203] rd(rd(A,rd(unit,B)),rd(B,rd(unit,B))) -> rd(A,B)
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 17
% Rule [161] rd(rd(A,rd(B,C)),rd(B,C)) <-> rd(A,rd(rd(rd(B,C),rd(unit,B)),C)) is composed into
% [161] rd(rd(A,rd(B,C)),rd(B,C)) -> rd(A,rd(rd(B,C),rd(unit,rd(B,C))))
% New rule produced :
% [204] rd(rd(rd(A,B),rd(unit,A)),B) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [205] rd(A,rd(C,rd(unit,rd(C,rd(unit,B))))) <-> rd(rd(A,B),rd(C,rd(unit,C)))
% Current number of equations to process: 518
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [206] rd(rd(A,B),rd(C,rd(unit,C))) <-> rd(A,rd(C,rd(unit,rd(C,rd(unit,B)))))
% Rule [203] rd(rd(A,rd(unit,B)),rd(B,rd(unit,B))) -> rd(A,B) collapsed.
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [207] rd(rd(A,rd(unit,rd(B,rd(unit,B)))),B) -> rd(A,rd(unit,B))
% Current number of equations to process: 517
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [208] rd(rd(A,rd(unit,rd(A,rd(unit,B)))),B) -> rd(A,rd(unit,A))
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [209]
% rd(rd(A,rd(unit,rd(A,rd(unit,rd(B,rd(unit,B)))))),B) ->
% rd(A,rd(unit,rd(A,rd(unit,B))))
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [210] rd(rd(A,rd(B,rd(unit,B))),B) -> rd(A,rd(B,rd(unit,rd(B,rd(unit,B)))))
% Rule
% [199]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(rd(unit,
% rd(
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a))))))),
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))
% -> unit collapsed.
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [211]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(unit,
% rd(rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))))
% -> unit
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [212]
% rd(rd(a,rd(op_a,rd(unit,a))),op_a) -> rd(op_a,rd(a,rd(op_a,rd(unit,a))))
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [213] rd(rd(unit,A),rd(unit,rd(A,B))) -> rd(unit,B)
% Rule [195] rd(rd(unit,A),rd(unit,rd(A,rd(unit,B)))) -> B collapsed.
% Rule [201] rd(rd(unit,A),rd(unit,rd(A,op_a))) -> rd(a,rd(op_a,rd(unit,a)))
% collapsed.
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 23
% Rule [136] ld(A,B) -> rd(rd(rd(unit,A),A),rd(unit,rd(A,rd(unit,B)))) is composed into
% [136] ld(A,B) -> rd(rd(unit,rd(A,rd(unit,A))),rd(unit,rd(A,rd(unit,B))))
% New rule produced : [214] rd(A,B) <-> rd(unit,rd(B,A))
% Rule [80] rd(rd(A,B),B) -> rd(A,rd(B,rd(unit,B))) collapsed.
% Rule [161] rd(rd(A,rd(B,C)),rd(B,C)) -> rd(A,rd(rd(B,C),rd(unit,rd(B,C))))
% collapsed.
% Rule [194] rd(rd(A,rd(unit,B)),B) -> A collapsed.
% Rule [200] rd(rd(unit,rd(A,B)),rd(unit,A)) -> B collapsed.
% Rule [202] rd(rd(A,rd(B,rd(unit,B))),rd(unit,B)) -> rd(A,B) collapsed.
% Rule [204] rd(rd(rd(A,B),rd(unit,A)),B) -> rd(rd(A,B),rd(unit,rd(A,B)))
% collapsed.
% Rule [207] rd(rd(A,rd(unit,rd(B,rd(unit,B)))),B) -> rd(A,rd(unit,B))
% collapsed.
% Rule [208] rd(rd(A,rd(unit,rd(A,rd(unit,B)))),B) -> rd(A,rd(unit,A))
% collapsed.
% Rule
% [209]
% rd(rd(A,rd(unit,rd(A,rd(unit,rd(B,rd(unit,B)))))),B) ->
% rd(A,rd(unit,rd(A,rd(unit,B)))) collapsed.
% Rule
% [210] rd(rd(A,rd(B,rd(unit,B))),B) -> rd(A,rd(B,rd(unit,rd(B,rd(unit,B)))))
% collapsed.
% Rule
% [212]
% rd(rd(a,rd(op_a,rd(unit,a))),op_a) -> rd(op_a,rd(a,rd(op_a,rd(unit,a))))
% collapsed.
% Current number of equations to process: 531
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced : [215] rd(unit,rd(B,rd(A,rd(unit,B)))) -> A
% Current number of equations to process: 530
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced : [216] rd(unit,rd(B,A)) <-> rd(A,B)
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [217] rd(rd(unit,A),rd(B,A)) -> rd(unit,B)
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [218] rd(A,rd(B,rd(unit,B))) <-> rd(unit,rd(B,rd(A,B)))
% Current number of equations to process: 532
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced : [219] rd(unit,rd(B,rd(A,B))) <-> rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [220] rd(A,rd(unit,rd(rd(unit,A),rd(unit,B)))) -> B
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [221] rd(rd(A,B),rd(C,rd(B,rd(unit,C)))) -> A
% Current number of equations to process: 536
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced : [222] rd(rd(A,rd(B,rd(unit,A))),rd(unit,B)) -> unit
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [223] rd(A,rd(B,rd(C,rd(A,rd(unit,C))))) <-> rd(unit,B)
% Current number of equations to process: 548
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [224] rd(unit,B) <-> rd(A,rd(B,rd(C,rd(A,rd(unit,C)))))
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [225] rd(A,rd(B,rd(unit,B))) <-> rd(unit,rd(B,rd(unit,rd(B,A))))
% Current number of equations to process: 547
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [226] rd(unit,rd(B,rd(unit,rd(B,A)))) <-> rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [227] rd(unit,rd(rd(unit,rd(A,B)),rd(unit,rd(A,rd(B,rd(unit,B)))))) -> B
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [228]
% rd(unit,rd(rd(unit,rd(A,B)),rd(unit,rd(B,rd(A,B))))) <->
% rd(unit,rd(B,rd(rd(A,rd(B,rd(unit,B))),rd(unit,A))))
% Current number of equations to process: 544
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [229]
% rd(unit,rd(B,rd(rd(A,rd(B,rd(unit,B))),rd(unit,A)))) <->
% rd(unit,rd(rd(unit,rd(A,B)),rd(unit,rd(B,rd(A,B)))))
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 28
% Rule [229]
% rd(unit,rd(B,rd(rd(A,rd(B,rd(unit,B))),rd(unit,A)))) <->
% rd(unit,rd(rd(unit,rd(A,B)),rd(unit,rd(B,rd(A,B))))) is composed into
% [229]
% rd(unit,rd(B,rd(rd(A,rd(B,rd(unit,B))),rd(unit,A)))) <->
% rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(unit,rd(B,rd(A,B)))))))
% New rule produced :
% [230]
% rd(unit,rd(rd(unit,rd(A,B)),rd(unit,rd(B,rd(A,B))))) ->
% rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(unit,rd(B,rd(A,B)))))))
% Rule
% [228]
% rd(unit,rd(rd(unit,rd(A,B)),rd(unit,rd(B,rd(A,B))))) <->
% rd(unit,rd(B,rd(rd(A,rd(B,rd(unit,B))),rd(unit,A)))) collapsed.
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [231]
% rd(rd(unit,rd(op_a,rd(A,op_a))),rd(unit,rd(op_a,rd(unit,B)))) ->
% rd(A,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,B))))))))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [232]
% rd(rd(B,rd(A,B)),rd(unit,rd(A,rd(unit,C)))) ->
% rd(B,rd(unit,rd(B,rd(unit,C))))
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [233]
% rd(rd(A,B),rd(C,rd(unit,rd(C,rd(unit,C))))) <->
% rd(unit,rd(C,rd(A,rd(C,rd(unit,rd(C,rd(unit,B)))))))
% Current number of equations to process: 541
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [234]
% rd(unit,rd(C,rd(A,rd(C,rd(unit,rd(C,rd(unit,B))))))) <->
% rd(rd(A,B),rd(C,rd(unit,rd(C,rd(unit,C)))))
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [235]
% rd(unit,rd(rd(a,rd(op_a,rd(unit,a))),rd(unit,rd(rd(a,rd(op_a,rd(unit,a))),
% rd(op_a,rd(a,rd(op_a,rd(unit,a))))))))
% -> unit
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [236]
% rd(rd(op_a,rd(a,rd(op_a,rd(unit,a)))),rd(unit,rd(rd(op_a,rd(a,rd(op_a,
% rd(unit,a)))),
% rd(unit,A)))) -> A
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [237]
% rd(unit,rd(rd(op_a,rd(a,rd(op_a,rd(unit,a)))),rd(A,rd(op_a,rd(a,rd(op_a,
% rd(unit,a)))))))
% -> A
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [238]
% rd(unit,rd(op_a,rd(a,rd(op_a,rd(unit,a))))) ->
% rd(op_a,rd(a,rd(op_a,rd(unit,a))))
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [239]
% rd(A,rd(unit,rd(B,rd(unit,B)))) <->
% rd(unit,rd(rd(a,rd(op_a,rd(unit,a))),rd(A,rd(unit,rd(B,rd(op_a,B))))))
% Current number of equations to process: 535
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [240]
% rd(unit,rd(rd(a,rd(op_a,rd(unit,a))),rd(A,rd(unit,rd(B,rd(op_a,B)))))) <->
% rd(A,rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [241] rd(rd(A,rd(op_a,A)),rd(a,rd(op_a,rd(unit,a)))) -> rd(A,rd(unit,A))
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [242]
% rd(rd(A,rd(a,rd(op_a,rd(unit,a)))),rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,B))))))
% -> rd(rd(A,op_a),rd(unit,B))
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [243]
% rd(A,rd(op_a,rd(unit,rd(op_a,rd(unit,A))))) ->
% rd(op_a,rd(a,rd(op_a,rd(unit,a))))
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [244] rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))) -> rd(A,rd(unit,B))
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [245]
% rd(rd(A,B),rd(unit,rd(B,rd(unit,rd(B,rd(unit,B)))))) ->
% rd(A,rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [246]
% rd(rd(A,rd(C,rd(unit,C))),rd(unit,rd(C,rd(unit,rd(C,rd(unit,B)))))) ->
% rd(A,rd(unit,B))
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [247] rd(unit,rd(rd(unit,B),rd(A,rd(B,rd(unit,B))))) -> rd(A,B)
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [248]
% rd(unit,rd(rd(a,rd(op_a,rd(unit,a))),rd(rd(A,rd(C,rd(unit,rd(C,rd(unit,B))))),
% rd(unit,rd(C,rd(op_a,C)))))) ->
% rd(A,B)
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [249]
% rd(unit,rd(C,rd(A,rd(unit,rd(rd(B,C),rd(unit,rd(B,rd(unit,C)))))))) ->
% rd(A,rd(unit,rd(rd(B,C),rd(unit,B))))
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [250] rd(unit,rd(rd(A,B),rd(unit,rd(B,rd(rd(A,B),rd(unit,A)))))) -> rd(A,B)
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [251]
% rd(unit,rd(rd(B,rd(unit,C)),rd(A,rd(unit,rd(rd(unit,B),rd(unit,C)))))) ->
% rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [252]
% rd(unit,rd(rd(unit,rd(A,C)),rd(unit,rd(A,rd(B,rd(unit,rd(B,rd(unit,C))))))))
% -> rd(B,rd(unit,B))
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [253]
% rd(rd(A,rd(unit,rd(B,rd(unit,C)))),rd(rd(unit,B),rd(unit,C))) ->
% rd(A,rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [254]
% rd(unit,rd(C,rd(unit,rd(C,rd(A,rd(unit,rd(B,rd(unit,rd(B,rd(unit,C))))))))))
% <-> rd(rd(A,rd(unit,rd(B,rd(unit,B)))),C)
% Current number of equations to process: 520
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [255]
% rd(rd(A,rd(unit,rd(B,rd(unit,B)))),C) <->
% rd(unit,rd(C,rd(unit,rd(C,rd(A,rd(unit,rd(B,rd(unit,rd(B,rd(unit,C))))))))))
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [256]
% rd(unit,rd(B,rd(unit,rd(B,rd(A,rd(unit,rd(A,rd(unit,B)))))))) <->
% rd(rd(A,rd(unit,A)),B)
% Current number of equations to process: 519
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [257]
% rd(rd(A,rd(unit,A)),B) <->
% rd(unit,rd(B,rd(unit,rd(B,rd(A,rd(unit,rd(A,rd(unit,B))))))))
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [258]
% rd(rd(unit,rd(A,rd(A,B))),rd(unit,rd(A,rd(unit,rd(A,rd(unit,B)))))) ->
% rd(rd(A,B),rd(unit,rd(A,rd(unit,B))))
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [259] rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(B,rd(op_a,B)))) -> rd(A,op_a)
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [260] rd(A,rd(B,rd(unit,B))) <-> rd(rd(A,op_a),rd(B,rd(op_a,B)))
% Current number of equations to process: 515
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [261] rd(rd(A,op_a),rd(B,rd(op_a,B))) <-> rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [262] rd(A,rd(B,rd(unit,rd(A,rd(unit,A))))) <-> rd(unit,rd(B,rd(unit,A)))
% Current number of equations to process: 514
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [263] rd(unit,rd(B,rd(unit,A))) <-> rd(A,rd(B,rd(unit,rd(A,rd(unit,A)))))
% The conjecture has been reduced.
% Conjecture is now:
% rd(op_a,rd(a,rd(op_b,rd(unit,rd(a,rd(unit,a)))))) = rd(rd(op_a,op_b),
% rd(unit,rd(op_b,rd(a,
% rd(op_b,
% rd(unit,
% rd(a,
% rd(unit,a))))))))
%
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [264] rd(B,rd(A,rd(unit,rd(A,rd(unit,B))))) <-> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 513
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [265] rd(unit,rd(A,rd(unit,A))) <-> rd(B,rd(A,rd(unit,rd(A,rd(unit,B)))))
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [266] rd(rd(A,C),rd(B,rd(unit,rd(B,C)))) -> rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [267] rd(unit,rd(B,rd(A,rd(unit,rd(B,rd(unit,B)))))) -> rd(A,rd(unit,B))
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 65
% Rule [257]
% rd(rd(A,rd(unit,A)),B) <->
% rd(unit,rd(B,rd(unit,rd(B,rd(A,rd(unit,rd(A,rd(unit,B)))))))) is composed into
% [257] rd(rd(A,rd(unit,A)),B) <-> rd(unit,rd(B,rd(A,rd(unit,A))))
% New rule produced :
% [268] rd(unit,rd(B,rd(A,rd(unit,rd(A,rd(unit,B)))))) -> rd(A,rd(unit,A))
% Rule
% [256]
% rd(unit,rd(B,rd(unit,rd(B,rd(A,rd(unit,rd(A,rd(unit,B)))))))) <->
% rd(rd(A,rd(unit,A)),B) collapsed.
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [269]
% rd(A,rd(unit,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,C)))))) <->
% rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,C))))
% Current number of equations to process: 509
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [270]
% rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,C)))) <->
% rd(A,rd(unit,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,C))))))
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [271] rd(rd(A,B),rd(unit,rd(A,B))) -> rd(unit,rd(B,rd(rd(A,B),rd(unit,A))))
% Rule
% [211]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(unit,
% rd(rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))))
% -> unit collapsed.
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [272]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(rd(a,
% rd(op_b,
% rd(unit,a))),
% rd(unit,
% rd(rd(a,
% rd(op_b,
% rd(unit,a))),
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))))
% -> unit
% Current number of equations to process: 508
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [273] rd(A,rd(unit,rd(rd(unit,A),B))) -> rd(unit,B)
% Rule [220] rd(A,rd(unit,rd(rd(unit,A),rd(unit,B)))) -> B collapsed.
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [274] rd(rd(A,B),rd(unit,rd(B,A))) -> unit
% Current number of equations to process: 533
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced : [275] rd(rd(A,rd(B,C)),rd(C,B)) -> A
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [276] rd(rd(A,B),rd(C,rd(B,A))) -> rd(unit,C)
% Rule [274] rd(rd(A,B),rd(unit,rd(B,A))) -> unit collapsed.
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [277] rd(A,rd(B,A)) <-> rd(rd(A,rd(unit,A)),B)
% Current number of equations to process: 551
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced : [278] rd(rd(A,rd(unit,A)),B) <-> rd(A,rd(B,A))
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [279] rd(B,rd(A,B)) <-> rd(unit,rd(A,rd(B,rd(unit,B))))
% Current number of equations to process: 570
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced : [280] rd(unit,rd(A,rd(B,rd(unit,B)))) <-> rd(B,rd(A,B))
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 74
% Rule [277] rd(A,rd(B,A)) <-> rd(rd(A,rd(unit,A)),B) is composed into
% [277] rd(A,rd(B,A)) <-> rd(A,rd(unit,rd(A,B)))
% New rule produced : [281] rd(rd(A,rd(unit,A)),B) -> rd(A,rd(unit,rd(A,B)))
% Rule [257] rd(rd(A,rd(unit,A)),B) <-> rd(unit,rd(B,rd(A,rd(unit,A))))
% collapsed.
% Rule [278] rd(rd(A,rd(unit,A)),B) <-> rd(A,rd(B,A)) collapsed.
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [282] rd(A,rd(unit,rd(A,B))) <-> rd(unit,rd(B,rd(A,rd(unit,A))))
% Current number of equations to process: 618
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [283] rd(unit,rd(B,rd(A,rd(unit,A)))) <-> rd(A,rd(unit,rd(A,B)))
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [284] rd(rd(A,rd(B,rd(unit,A))),rd(C,B)) -> rd(unit,C)
% Rule [222] rd(rd(A,rd(B,rd(unit,A))),rd(unit,B)) -> unit collapsed.
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [285] rd(rd(A,B),rd(unit,rd(rd(B,A),C))) -> rd(unit,C)
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [286] rd(unit,rd(B,rd(unit,B))) <-> rd(rd(unit,A),rd(B,rd(A,B)))
% Current number of equations to process: 638
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [287] rd(rd(unit,A),rd(B,rd(A,B))) <-> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [288] rd(rd(unit,A),rd(B,rd(A,rd(unit,A)))) -> rd(A,B)
% Rule [247] rd(unit,rd(rd(unit,B),rd(A,rd(B,rd(unit,B))))) -> rd(A,B)
% collapsed.
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [289] rd(rd(A,rd(B,A)),rd(unit,B)) -> rd(A,rd(unit,A))
% Current number of equations to process: 764
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [290] rd(A,rd(B,rd(rd(unit,C),B))) <-> rd(rd(A,C),rd(B,rd(unit,B)))
% Current number of equations to process: 1192
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [291] rd(rd(A,C),rd(B,rd(unit,B))) <-> rd(A,rd(B,rd(rd(unit,C),B)))
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [292] rd(unit,rd(A,rd(B,rd(C,rd(A,rd(unit,C)))))) -> B
% Current number of equations to process: 1190
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [293] rd(B,rd(rd(A,B),rd(unit,A))) <-> rd(unit,rd(rd(A,B),rd(B,A)))
% Current number of equations to process: 1187
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [294] rd(unit,rd(rd(A,B),rd(B,A))) <-> rd(B,rd(rd(A,B),rd(unit,A)))
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [295] rd(rd(unit,rd(A,B)),rd(C,rd(A,rd(unit,C)))) -> B
% Current number of equations to process: 1185
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [296] rd(unit,rd(B,rd(C,rd(A,rd(unit,C))))) <-> rd(rd(unit,A),B)
% Current number of equations to process: 1184
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [297] rd(rd(unit,A),B) <-> rd(unit,rd(B,rd(C,rd(A,rd(unit,C)))))
% Current number of equations to process: 1184
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [298] rd(rd(A,rd(op_a,A)),rd(B,op_a)) <-> rd(unit,rd(B,rd(A,rd(unit,A))))
% Current number of equations to process: 2043
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [299] rd(unit,rd(B,rd(A,rd(unit,A)))) <-> rd(rd(A,rd(op_a,A)),rd(B,op_a))
% Current number of equations to process: 2043
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [300] rd(unit,rd(A,rd(B,A))) <-> rd(rd(B,op_a),rd(A,rd(op_a,A)))
% Current number of equations to process: 2093
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [301] rd(rd(B,op_a),rd(A,rd(op_a,A))) <-> rd(unit,rd(A,rd(B,A)))
% Current number of equations to process: 2093
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [302] rd(unit,rd(A,rd(unit,rd(A,B)))) <-> rd(rd(B,op_a),rd(A,rd(op_a,A)))
% Current number of equations to process: 2099
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [303] rd(rd(B,op_a),rd(A,rd(op_a,A))) <-> rd(unit,rd(A,rd(unit,rd(A,B))))
% Current number of equations to process: 2099
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [304] rd(A,rd(B,rd(unit,rd(A,rd(unit,A))))) <-> rd(rd(unit,A),B)
% Current number of equations to process: 2262
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [305] rd(rd(unit,A),B) <-> rd(A,rd(B,rd(unit,rd(A,rd(unit,A)))))
% Current number of equations to process: 2262
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [306] rd(rd(A,B),rd(rd(unit,A),B)) -> rd(A,rd(unit,A))
% Current number of equations to process: 2354
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [307] rd(A,rd(B,rd(rd(unit,A),B))) <-> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 2358
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [308] rd(unit,rd(B,rd(unit,B))) <-> rd(A,rd(B,rd(rd(unit,A),B)))
% Current number of equations to process: 2358
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [309] rd(A,rd(C,rd(unit,C))) <-> rd(rd(A,B),rd(C,rd(B,C)))
% Rule [260] rd(A,rd(B,rd(unit,B))) <-> rd(rd(A,op_a),rd(B,rd(op_a,B)))
% collapsed.
% Rule [286] rd(unit,rd(B,rd(unit,B))) <-> rd(rd(unit,A),rd(B,rd(A,B)))
% collapsed.
% Current number of equations to process: 2506
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [310] rd(rd(A,B),rd(C,rd(B,C))) <-> rd(A,rd(C,rd(unit,C)))
% Rule [261] rd(rd(A,op_a),rd(B,rd(op_a,B))) <-> rd(A,rd(B,rd(unit,B)))
% collapsed.
% Rule [287] rd(rd(unit,A),rd(B,rd(A,B))) <-> rd(unit,rd(B,rd(unit,B)))
% collapsed.
% Current number of equations to process: 2506
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [311] rd(rd(A,rd(B,rd(unit,A))),rd(unit,rd(B,C))) -> rd(unit,C)
% Current number of equations to process: 2636
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [312] rd(A,rd(unit,rd(rd(B,rd(A,rd(unit,B))),C))) -> rd(unit,C)
% Current number of equations to process: 2635
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [313] rd(A,rd(B,rd(C,rd(B,rd(unit,C))))) <-> rd(unit,rd(B,rd(A,B)))
% Rule
% [235]
% rd(unit,rd(rd(a,rd(op_a,rd(unit,a))),rd(unit,rd(rd(a,rd(op_a,rd(unit,a))),
% rd(op_a,rd(a,rd(op_a,rd(unit,a))))))))
% -> unit collapsed.
% Rule
% [272]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(rd(a,
% rd(op_b,
% rd(unit,a))),
% rd(unit,
% rd(rd(a,
% rd(op_b,
% rd(unit,a))),
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))))
% -> unit collapsed.
% Current number of equations to process: 2635
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [314]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(rd(a,
% rd(op_b,
% rd(unit,a))),
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))))
% -> unit
% Current number of equations to process: 2634
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [315] rd(unit,rd(B,rd(A,B))) <-> rd(A,rd(B,rd(C,rd(B,rd(unit,C)))))
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [316] rd(A,rd(B,rd(unit,A))) <-> rd(C,rd(B,rd(V_3,rd(C,rd(unit,V_3)))))
% Current number of equations to process: 2632
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [317] rd(C,rd(B,rd(V_3,rd(C,rd(unit,V_3))))) <-> rd(A,rd(B,rd(unit,A)))
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [318] rd(rd(A,rd(B,A)),rd(unit,rd(B,C))) -> rd(A,rd(unit,rd(A,C)))
% Rule
% [232]
% rd(rd(B,rd(A,B)),rd(unit,rd(A,rd(unit,C)))) ->
% rd(B,rd(unit,rd(B,rd(unit,C)))) collapsed.
% Current number of equations to process: 2631
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [319] rd(rd(A,B),rd(A,rd(rd(B,A),rd(unit,B)))) -> rd(B,A)
% Current number of equations to process: 2629
% Current number of ordered equations: 2
% Current number of rules: 102
% New rule produced :
% [320] rd(unit,rd(A,rd(unit,B))) <-> rd(rd(unit,rd(B,rd(unit,B))),rd(A,B))
% Current number of equations to process: 2629
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [321] rd(rd(unit,rd(B,rd(unit,B))),rd(A,B)) <-> rd(unit,rd(A,rd(unit,B)))
% Current number of equations to process: 2629
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [322] rd(B,rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,op_a),rd(B,rd(op_a,B))))
% Current number of equations to process: 2628
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [323] rd(unit,rd(rd(A,op_a),rd(B,rd(op_a,B)))) <-> rd(B,rd(unit,rd(B,A)))
% Current number of equations to process: 2628
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [324] rd(B,rd(A,rd(unit,A))) <-> rd(unit,rd(rd(A,rd(op_a,A)),rd(B,op_a)))
% Current number of equations to process: 2625
% Current number of ordered equations: 3
% Current number of rules: 107
% New rule produced :
% [325] rd(A,rd(B,rd(unit,B))) <-> rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B)))
% Current number of equations to process: 2625
% Current number of ordered equations: 2
% Current number of rules: 108
% New rule produced :
% [326] rd(unit,rd(rd(A,rd(op_a,A)),rd(B,op_a))) <-> rd(B,rd(A,rd(unit,A)))
% Current number of equations to process: 2625
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [327] rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B))) <-> rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 2625
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [328] rd(rd(A,rd(B,rd(unit,C))),rd(C,B)) -> rd(A,rd(C,rd(unit,C)))
% Current number of equations to process: 2624
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [329] rd(unit,rd(A,rd(B,rd(rd(unit,A),B)))) -> rd(B,rd(unit,B))
% Current number of equations to process: 2665
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [330] rd(rd(A,B),rd(B,A)) <-> rd(unit,rd(B,rd(rd(A,B),rd(unit,A))))
% Current number of equations to process: 3000
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [331] rd(unit,rd(B,rd(rd(A,B),rd(unit,A)))) <-> rd(rd(A,B),rd(B,A))
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [332] rd(unit,rd(C,rd(B,A))) <-> rd(rd(unit,rd(A,B)),C)
% Current number of equations to process: 3101
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced : [333] rd(rd(unit,rd(A,B)),C) <-> rd(unit,rd(C,rd(B,A)))
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [334] rd(A,rd(rd(B,A),rd(unit,B))) <-> rd(rd(A,B),rd(B,A))
% Current number of equations to process: 3196
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [335] rd(rd(A,B),rd(B,A)) <-> rd(A,rd(rd(B,A),rd(unit,B)))
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [336] rd(rd(A,rd(unit,rd(A,B))),rd(unit,rd(B,A))) -> A
% Current number of equations to process: 3527
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [337] rd(rd(unit,rd(A,rd(B,rd(unit,B)))),rd(B,A)) -> B
% Current number of equations to process: 3526
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [338] rd(rd(A,rd(B,A)),rd(A,rd(unit,rd(A,B)))) -> unit
% Current number of equations to process: 3525
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [339] rd(rd(A,rd(unit,rd(A,B))),rd(A,rd(B,A))) -> unit
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [340] rd(rd(A,B),C) <-> rd(unit,rd(C,rd(unit,rd(B,A))))
% Current number of equations to process: 3645
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced : [341] rd(unit,rd(C,rd(unit,rd(B,A)))) <-> rd(rd(A,B),C)
% Current number of equations to process: 3645
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [342] rd(rd(A,B),rd(unit,rd(B,rd(unit,A)))) -> rd(A,rd(unit,A))
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [343] rd(B,rd(unit,B)) <-> rd(unit,rd(rd(unit,A),rd(B,rd(A,B))))
% Current number of equations to process: 3856
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [344] rd(unit,rd(rd(unit,A),rd(B,rd(A,B)))) <-> rd(B,rd(unit,B))
% Current number of equations to process: 3856
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [345] rd(B,rd(A,rd(rd(unit,C),A))) <-> rd(unit,rd(A,rd(rd(B,C),A)))
% Current number of equations to process: 4030
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [346] rd(unit,rd(A,rd(rd(B,C),A))) <-> rd(B,rd(A,rd(rd(unit,C),A)))
% Current number of equations to process: 4030
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [347] rd(rd(unit,rd(B,A)),rd(rd(unit,A),B)) -> rd(A,rd(unit,A))
% Current number of equations to process: 4220
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [348] rd(A,rd(B,rd(C,rd(unit,B)))) <-> rd(A,rd(V_3,rd(C,rd(unit,V_3))))
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [349] rd(A,rd(B,rd(C,rd(unit,B)))) <-> rd(unit,rd(rd(unit,C),A))
% Rule [295] rd(rd(unit,rd(A,B)),rd(C,rd(A,rd(unit,C)))) -> B collapsed.
% Current number of equations to process: 4301
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [350] rd(rd(A,rd(op_a,A)),rd(B,op_a)) <-> rd(A,rd(B,A))
% Current number of equations to process: 4505
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced : [351] rd(A,rd(B,A)) <-> rd(rd(A,rd(op_a,A)),rd(B,op_a))
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 133
% Rule [351] rd(A,rd(B,A)) <-> rd(rd(A,rd(op_a,A)),rd(B,op_a)) is composed into
% [351] rd(A,rd(B,A)) <-> rd(A,rd(unit,rd(A,B)))
% Rule [324]
% rd(B,rd(A,rd(unit,A))) <-> rd(unit,rd(rd(A,rd(op_a,A)),rd(B,op_a))) is composed into
% [324] rd(B,rd(A,rd(unit,A))) <-> rd(unit,rd(A,rd(unit,rd(A,B))))
% Rule [299]
% rd(unit,rd(B,rd(A,rd(unit,A)))) <-> rd(rd(A,rd(op_a,A)),rd(B,op_a)) is composed into
% [299] rd(unit,rd(B,rd(A,rd(unit,A)))) <-> rd(A,rd(unit,rd(A,B)))
% New rule produced :
% [352] rd(rd(A,rd(op_a,A)),rd(B,op_a)) -> rd(A,rd(unit,rd(A,B)))
% Rule
% [298] rd(rd(A,rd(op_a,A)),rd(B,op_a)) <-> rd(unit,rd(B,rd(A,rd(unit,A))))
% collapsed.
% Rule
% [326] rd(unit,rd(rd(A,rd(op_a,A)),rd(B,op_a))) <-> rd(B,rd(A,rd(unit,A)))
% collapsed.
% Rule [350] rd(rd(A,rd(op_a,A)),rd(B,op_a)) <-> rd(A,rd(B,A)) collapsed.
% Current number of equations to process: 4504
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [353] rd(B,rd(A,B)) <-> rd(unit,rd(rd(A,op_a),rd(B,rd(op_a,B))))
% Current number of equations to process: 4667
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [354] rd(unit,rd(rd(A,op_a),rd(B,rd(op_a,B)))) <-> rd(B,rd(A,B))
% Current number of equations to process: 4667
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [355] rd(unit,rd(B,rd(op_a,B))) <-> rd(rd(op_a,A),rd(B,rd(A,B)))
% Current number of equations to process: 4742
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [356] rd(rd(op_a,A),rd(B,rd(A,B))) <-> rd(unit,rd(B,rd(op_a,B)))
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [357] rd(rd(unit,A),rd(B,rd(A,rd(rd(unit,B),A)))) -> A
% Current number of equations to process: 2362
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [358] rd(unit,rd(A,rd(B,A))) <-> rd(rd(B,C),rd(A,rd(C,A)))
% Rule [300] rd(unit,rd(A,rd(B,A))) <-> rd(rd(B,op_a),rd(A,rd(op_a,A)))
% collapsed.
% Rule [355] rd(unit,rd(B,rd(op_a,B))) <-> rd(rd(op_a,A),rd(B,rd(A,B)))
% collapsed.
% Current number of equations to process: 2408
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [359] rd(rd(B,C),rd(A,rd(C,A))) <-> rd(unit,rd(A,rd(B,A)))
% Rule [301] rd(rd(B,op_a),rd(A,rd(op_a,A))) <-> rd(unit,rd(A,rd(B,A)))
% collapsed.
% Rule [356] rd(rd(op_a,A),rd(B,rd(A,B))) <-> rd(unit,rd(B,rd(op_a,B)))
% collapsed.
% Current number of equations to process: 2408
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [360] rd(rd(unit,A),rd(rd(unit,B),rd(A,rd(B,A)))) -> A
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [361] rd(unit,rd(A,rd(unit,rd(A,B)))) <-> rd(rd(B,C),rd(A,rd(C,A)))
% Rule
% [302] rd(unit,rd(A,rd(unit,rd(A,B)))) <-> rd(rd(B,op_a),rd(A,rd(op_a,A)))
% collapsed.
% Current number of equations to process: 2453
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [362] rd(rd(B,C),rd(A,rd(C,A))) <-> rd(unit,rd(A,rd(unit,rd(A,B))))
% Rule
% [303] rd(rd(B,op_a),rd(A,rd(op_a,A))) <-> rd(unit,rd(A,rd(unit,rd(A,B))))
% collapsed.
% Current number of equations to process: 2453
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [363] rd(unit,rd(rd(A,B),rd(C,rd(B,C)))) <-> rd(C,rd(A,C))
% Rule [344] rd(unit,rd(rd(unit,A),rd(B,rd(A,B)))) <-> rd(B,rd(unit,B))
% collapsed.
% Rule [354] rd(unit,rd(rd(A,op_a),rd(B,rd(op_a,B)))) <-> rd(B,rd(A,B))
% collapsed.
% Current number of equations to process: 2590
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [364] rd(C,rd(A,C)) <-> rd(unit,rd(rd(A,B),rd(C,rd(B,C))))
% Rule [343] rd(B,rd(unit,B)) <-> rd(unit,rd(rd(unit,A),rd(B,rd(A,B))))
% collapsed.
% Rule [353] rd(B,rd(A,B)) <-> rd(unit,rd(rd(A,op_a),rd(B,rd(op_a,B))))
% collapsed.
% Current number of equations to process: 2590
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [365] rd(A,rd(B,rd(rd(unit,A),B))) <-> rd(rd(unit,C),rd(B,rd(C,B)))
% Current number of equations to process: 2589
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [366] rd(rd(unit,C),rd(B,rd(C,B))) <-> rd(A,rd(B,rd(rd(unit,A),B)))
% Current number of equations to process: 2589
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [367] rd(rd(B,rd(C,B)),rd(A,C)) <-> rd(unit,rd(A,rd(B,rd(unit,B))))
% Rule [289] rd(rd(A,rd(B,A)),rd(unit,B)) -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 2588
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [368] rd(unit,rd(A,rd(B,rd(unit,B)))) <-> rd(rd(B,rd(C,B)),rd(A,C))
% Current number of equations to process: 2588
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [369] rd(unit,rd(C,rd(unit,B))) <-> rd(rd(A,rd(B,rd(unit,A))),C)
% Current number of equations to process: 2662
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [370] rd(rd(A,rd(B,rd(unit,A))),C) <-> rd(unit,rd(C,rd(unit,B)))
% Current number of equations to process: 2662
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [371] rd(rd(unit,rd(A,B)),rd(B,rd(unit,rd(B,A)))) -> rd(unit,B)
% Current number of equations to process: 2690
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [372] rd(rd(A,B),rd(unit,rd(B,rd(A,rd(unit,A))))) -> rd(unit,A)
% Current number of equations to process: 2689
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [373] rd(rd(A,rd(B,rd(A,rd(unit,B)))),C) -> rd(A,rd(unit,rd(A,C)))
% Rule
% [236]
% rd(rd(op_a,rd(a,rd(op_a,rd(unit,a)))),rd(unit,rd(rd(op_a,rd(a,rd(op_a,
% rd(unit,a)))),
% rd(unit,A)))) -> A collapsed.
% Rule
% [237]
% rd(unit,rd(rd(op_a,rd(a,rd(op_a,rd(unit,a)))),rd(A,rd(op_a,rd(a,rd(op_a,
% rd(unit,a)))))))
% -> A collapsed.
% Rule
% [314]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))),
% rd(rd(a,
% rd(op_b,
% rd(unit,a))),
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))))
% -> unit collapsed.
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [374]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(rd(a,
% rd(op_b,
% rd(unit,a))),
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))))))
% -> unit
% Current number of equations to process: 2690
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [375] rd(rd(A,B),rd(C,rd(rd(B,A),C))) -> rd(unit,rd(C,rd(unit,C)))
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [376] rd(rd(rd(unit,A),B),rd(unit,rd(B,A))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 2685
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [377] rd(A,rd(B,rd(C,B))) <-> rd(rd(A,rd(unit,C)),rd(B,rd(unit,B)))
% Current number of equations to process: 2684
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [378] rd(rd(A,rd(unit,C)),rd(B,rd(unit,B))) <-> rd(A,rd(B,rd(C,B)))
% Current number of equations to process: 2684
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [379] rd(B,rd(rd(A,C),B)) <-> rd(unit,rd(A,rd(B,rd(rd(unit,C),B))))
% Current number of equations to process: 2683
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [380] rd(unit,rd(A,rd(B,rd(rd(unit,C),B)))) <-> rd(B,rd(rd(A,C),B))
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [381] rd(unit,rd(B,rd(A,B))) <-> rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B)))
% Current number of equations to process: 2682
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [382] rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B))) <-> rd(unit,rd(B,rd(A,B)))
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [383] rd(rd(unit,A),rd(rd(B,op_a),rd(A,rd(op_a,A)))) -> rd(A,B)
% Current number of equations to process: 2681
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [384] rd(unit,rd(rd(A,B),rd(C,rd(B,C)))) <-> rd(C,rd(unit,rd(C,A)))
% Rule
% [323] rd(unit,rd(rd(A,op_a),rd(B,rd(op_a,B)))) <-> rd(B,rd(unit,rd(B,A)))
% collapsed.
% Current number of equations to process: 2679
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [385] rd(C,rd(unit,rd(C,A))) <-> rd(unit,rd(rd(A,B),rd(C,rd(B,C))))
% Rule
% [322] rd(B,rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,op_a),rd(B,rd(op_a,B))))
% collapsed.
% Current number of equations to process: 2679
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [386] rd(rd(unit,A),rd(rd(B,C),rd(A,rd(C,A)))) -> rd(A,B)
% Rule [360] rd(rd(unit,A),rd(rd(unit,B),rd(A,rd(B,A)))) -> A collapsed.
% Rule [383] rd(rd(unit,A),rd(rd(B,op_a),rd(A,rd(op_a,A)))) -> rd(A,B)
% collapsed.
% Current number of equations to process: 2678
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [387] rd(B,rd(C,rd(unit,C))) <-> rd(rd(unit,rd(A,B)),rd(C,rd(A,C)))
% Rule
% [325] rd(A,rd(B,rd(unit,B))) <-> rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B)))
% collapsed.
% Current number of equations to process: 2675
% Current number of ordered equations: 3
% Current number of rules: 147
% New rule produced :
% [388] rd(unit,rd(rd(A,rd(B,A)),rd(C,B))) <-> rd(C,rd(A,rd(unit,A)))
% Current number of equations to process: 2675
% Current number of ordered equations: 2
% Current number of rules: 148
% New rule produced :
% [389] rd(C,rd(A,rd(unit,A))) <-> rd(unit,rd(rd(A,rd(B,A)),rd(C,B)))
% Current number of equations to process: 2675
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [390] rd(rd(unit,rd(A,B)),rd(C,rd(A,C))) <-> rd(B,rd(C,rd(unit,C)))
% Rule
% [327] rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B))) <-> rd(A,rd(B,rd(unit,B)))
% collapsed.
% Current number of equations to process: 2675
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [391] rd(rd(A,rd(B,rd(unit,A))),C) <-> rd(rd(V_3,rd(B,rd(unit,V_3))),C)
% Current number of equations to process: 2750
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [392] rd(unit,rd(rd(A,rd(B,rd(unit,A))),C)) <-> rd(C,rd(unit,B))
% Current number of equations to process: 2849
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [393] rd(C,rd(unit,B)) <-> rd(unit,rd(rd(A,rd(B,rd(unit,A))),C))
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [394] rd(A,rd(B,rd(unit,A))) <-> rd(C,rd(B,rd(unit,C)))
% Rule [348] rd(A,rd(B,rd(C,rd(unit,B)))) <-> rd(A,rd(V_3,rd(C,rd(unit,V_3))))
% collapsed.
% Rule [391] rd(rd(A,rd(B,rd(unit,A))),C) <-> rd(rd(V_3,rd(B,rd(unit,V_3))),C)
% collapsed.
% Current number of equations to process: 3024
% Current number of ordered equations: 0
% Current number of rules: 151
% Rule [389] rd(C,rd(A,rd(unit,A))) <-> rd(unit,rd(rd(A,rd(B,A)),rd(C,B))) is composed into
% [389] rd(C,rd(A,rd(unit,A))) <-> rd(unit,rd(A,rd(unit,rd(A,C))))
% Rule [368] rd(unit,rd(A,rd(B,rd(unit,B)))) <-> rd(rd(B,rd(C,B)),rd(A,C)) is composed into
% [368] rd(unit,rd(A,rd(B,rd(unit,B)))) <-> rd(B,rd(unit,rd(B,A)))
% New rule produced : [395] rd(rd(A,rd(B,A)),rd(C,B)) -> rd(A,rd(unit,rd(A,C)))
% Rule [352] rd(rd(A,rd(op_a,A)),rd(B,op_a)) -> rd(A,rd(unit,rd(A,B)))
% collapsed.
% Rule [367] rd(rd(B,rd(C,B)),rd(A,C)) <-> rd(unit,rd(A,rd(B,rd(unit,B))))
% collapsed.
% Rule [388] rd(unit,rd(rd(A,rd(B,A)),rd(C,B))) <-> rd(C,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [396] rd(A,rd(unit,rd(A,rd(C,B)))) <-> rd(rd(A,rd(rd(unit,B),A)),C)
% Current number of equations to process: 3103
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [397] rd(rd(A,rd(rd(unit,B),A)),C) <-> rd(A,rd(unit,rd(A,rd(C,B))))
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [398] rd(rd(A,rd(B,A)),C) <-> rd(A,rd(unit,rd(A,rd(C,rd(unit,B)))))
% Current number of equations to process: 3157
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [399] rd(A,rd(unit,rd(A,rd(C,rd(unit,B))))) <-> rd(rd(A,rd(B,A)),C)
% Current number of equations to process: 3157
% Current number of ordered equations: 0
% Current number of rules: 153
% Rule [320]
% rd(unit,rd(A,rd(unit,B))) <-> rd(rd(unit,rd(B,rd(unit,B))),rd(A,B)) is composed into
% [320] rd(unit,rd(A,rd(unit,B))) <-> rd(rd(unit,B),A)
% New rule produced :
% [400] rd(rd(unit,rd(A,rd(unit,A))),rd(B,A)) -> rd(rd(unit,A),B)
% Rule
% [321] rd(rd(unit,rd(B,rd(unit,B))),rd(A,B)) <-> rd(unit,rd(A,rd(unit,B)))
% collapsed.
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [401] rd(A,rd(C,rd(unit,B))) <-> rd(rd(A,rd(B,rd(unit,B))),rd(C,B))
% Current number of equations to process: 3665
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [402] rd(rd(A,rd(B,rd(unit,B))),rd(C,B)) <-> rd(A,rd(C,rd(unit,B)))
% Current number of equations to process: 3665
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [403] rd(unit,rd(rd(unit,rd(A,B)),C)) <-> rd(C,rd(B,A))
% Current number of equations to process: 3875
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced : [404] rd(C,rd(B,A)) <-> rd(unit,rd(rd(unit,rd(A,B)),C))
% Rule [337] rd(rd(unit,rd(A,rd(B,rd(unit,B)))),rd(B,A)) -> B collapsed.
% Current number of equations to process: 3875
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [405] rd(rd(rd(unit,rd(A,B)),C),rd(rd(B,A),C)) -> unit
% Current number of equations to process: 4146
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [406] rd(rd(rd(A,B),C),rd(rd(unit,rd(B,A)),C)) -> unit
% Current number of equations to process: 4145
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [407] rd(rd(rd(unit,rd(A,B)),C),V_3) <-> rd(unit,rd(V_3,rd(rd(B,A),C)))
% Current number of equations to process: 4144
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [408] rd(unit,rd(V_3,rd(rd(B,A),C))) <-> rd(rd(rd(unit,rd(A,B)),C),V_3)
% Current number of equations to process: 4144
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [409] rd(unit,rd(rd(A,B),C)) <-> rd(C,rd(unit,rd(B,A)))
% Current number of equations to process: 4785
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced : [410] rd(C,rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,B),C))
% Rule [336] rd(rd(A,rd(unit,rd(A,B))),rd(unit,rd(B,A))) -> A collapsed.
% Rule [376] rd(rd(rd(unit,A),B),rd(unit,rd(B,A))) -> rd(unit,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 4785
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [411] rd(unit,rd(V_3,rd(A,rd(C,B)))) <-> rd(rd(A,rd(unit,rd(B,C))),V_3)
% Current number of equations to process: 4902
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [412] rd(rd(A,rd(unit,rd(B,C))),V_3) <-> rd(unit,rd(V_3,rd(A,rd(C,B))))
% Current number of equations to process: 4902
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [413] rd(A,rd(rd(B,C),A)) <-> rd(rd(A,rd(rd(unit,C),A)),B)
% Current number of equations to process: 2180
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [414] rd(rd(A,rd(rd(unit,C),A)),B) <-> rd(A,rd(rd(B,C),A))
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [415] rd(rd(unit,C),rd(B,rd(C,B))) <-> rd(rd(unit,A),rd(B,rd(A,B)))
% Current number of equations to process: 2972
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [416] rd(A,rd(B,A)) <-> rd(rd(A,rd(unit,rd(A,C))),rd(B,C))
% Current number of equations to process: 3197
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [417] rd(rd(A,rd(unit,rd(A,C))),rd(B,C)) <-> rd(A,rd(B,A))
% Current number of equations to process: 3197
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [418] rd(rd(A,B),rd(C,rd(B,C))) <-> rd(rd(A,V_3),rd(C,rd(V_3,C)))
% Rule [415] rd(rd(unit,C),rd(B,rd(C,B))) <-> rd(rd(unit,A),rd(B,rd(A,B)))
% collapsed.
% Current number of equations to process: 3974
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [419] rd(A,rd(B,rd(rd(unit,A),B))) <-> rd(C,rd(B,rd(rd(unit,C),B)))
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [420] rd(rd(A,rd(B,A)),C) <-> rd(unit,rd(C,rd(A,rd(unit,rd(A,B)))))
% Current number of equations to process: 4569
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [421] rd(unit,rd(C,rd(A,rd(unit,rd(A,B))))) <-> rd(rd(A,rd(B,A)),C)
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [422] rd(unit,rd(V_3,rd(A,rd(unit,rd(C,B))))) <-> rd(rd(A,rd(B,C)),V_3)
% Rule [421] rd(unit,rd(C,rd(A,rd(unit,rd(A,B))))) <-> rd(rd(A,rd(B,A)),C)
% collapsed.
% Current number of equations to process: 4568
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [423] rd(rd(A,rd(B,C)),V_3) <-> rd(unit,rd(V_3,rd(A,rd(unit,rd(C,B)))))
% Rule [420] rd(rd(A,rd(B,A)),C) <-> rd(unit,rd(C,rd(A,rd(unit,rd(A,B)))))
% collapsed.
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [424] rd(A,rd(unit,rd(rd(unit,B),rd(B,A)))) <-> rd(rd(A,B),rd(B,A))
% Current number of equations to process: 4567
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [425] rd(rd(A,B),rd(B,A)) <-> rd(A,rd(unit,rd(rd(unit,B),rd(B,A))))
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [426] rd(rd(unit,rd(A,B)),rd(C,rd(unit,rd(B,A)))) -> rd(unit,C)
% Rule [371] rd(rd(unit,rd(A,B)),rd(B,rd(unit,rd(B,A)))) -> rd(unit,B)
% collapsed.
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [427] rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3))) <-> rd(rd(rd(C,B),V_3),A)
% Current number of equations to process: 4569
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [428] rd(rd(rd(C,B),V_3),A) <-> rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3)))
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [429] rd(A,rd(B,rd(C,B))) <-> rd(unit,rd(B,rd(rd(A,rd(unit,C)),B)))
% Current number of equations to process: 4566
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [430] rd(unit,rd(B,rd(rd(A,rd(unit,C)),B))) <-> rd(A,rd(B,rd(C,B)))
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [431] rd(rd(A,rd(unit,rd(A,rd(unit,C)))),B) <-> rd(A,rd(rd(B,C),A))
% Current number of equations to process: 4565
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [432] rd(A,rd(rd(B,C),A)) <-> rd(rd(A,rd(unit,rd(A,rd(unit,C)))),B)
% Current number of equations to process: 4565
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [433] rd(B,rd(A,rd(B,A))) <-> rd(unit,rd(A,rd(B,rd(unit,rd(B,A)))))
% Current number of equations to process: 4564
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [434] rd(unit,rd(A,rd(B,rd(unit,rd(B,A))))) <-> rd(B,rd(A,rd(B,A)))
% Current number of equations to process: 4564
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [435] rd(unit,rd(C,rd(B,C))) <-> rd(rd(unit,rd(A,B)),rd(C,rd(A,C)))
% Rule
% [381] rd(unit,rd(B,rd(A,B))) <-> rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B)))
% collapsed.
% Current number of equations to process: 4563
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [436] rd(rd(unit,rd(A,B)),rd(C,rd(A,C))) <-> rd(unit,rd(C,rd(B,C)))
% Rule
% [382] rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B))) <-> rd(unit,rd(B,rd(A,B)))
% collapsed.
% Current number of equations to process: 4563
% Current number of ordered equations: 0
% Current number of rules: 180
% Rule [416] rd(A,rd(B,A)) <-> rd(rd(A,rd(unit,rd(A,C))),rd(B,C)) is composed into
% [416] rd(A,rd(B,A)) <-> rd(A,rd(unit,rd(A,B)))
% New rule produced :
% [437] rd(rd(A,rd(unit,rd(A,C))),rd(B,C)) -> rd(A,rd(unit,rd(A,B)))
% Rule [417] rd(rd(A,rd(unit,rd(A,C))),rd(B,C)) <-> rd(A,rd(B,A)) collapsed.
% Current number of equations to process: 4561
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [438] rd(A,rd(unit,rd(rd(unit,B),rd(A,rd(B,A))))) -> rd(unit,A)
% Current number of equations to process: 4558
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [439]
% rd(unit,rd(rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))),rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,rd(op_b,
% rd(unit,a)))))))))))
% ->
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a))))))))))))))
% Current number of equations to process: 4780
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [440]
% rd(unit,rd(C,rd(unit,rd(C,rd(rd(A,B),rd(unit,rd(B,rd(unit,rd(B,rd(unit,C))))))))))
% <-> rd(rd(A,rd(unit,B)),C)
% Current number of equations to process: 4779
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [441]
% rd(rd(A,rd(unit,B)),C) <->
% rd(unit,rd(C,rd(unit,rd(C,rd(rd(A,B),rd(unit,rd(B,rd(unit,rd(B,rd(unit,C))))))))))
% Current number of equations to process: 4779
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [442]
% rd(unit,rd(B,rd(A,rd(unit,rd(rd(A,rd(unit,rd(B,rd(unit,C)))),rd(rd(unit,
% rd(B,
% rd(unit,B))),
% rd(unit,
% rd(B,rd(unit,C)))))))))
% -> rd(A,rd(unit,rd(A,rd(unit,B))))
% Current number of equations to process: 4776
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [443]
% rd(A,rd(unit,rd(B,rd(unit,B)))) <->
% rd(unit,rd(rd(unit,B),rd(unit,rd(rd(unit,B),A))))
% Current number of equations to process: 4775
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [444]
% rd(unit,rd(rd(unit,B),rd(unit,rd(rd(unit,B),A)))) <->
% rd(A,rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 4775
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [445]
% rd(A,rd(op_a,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,B))))))) <->
% rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,rd(rd(op_a,rd(unit,B)),A))))))
% Current number of equations to process: 4773
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [446]
% rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,rd(rd(op_a,rd(unit,B)),A)))))) <->
% rd(A,rd(op_a,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,B)))))))
% Current number of equations to process: 4773
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [447]
% rd(rd(A,rd(V_3,rd(unit,rd(V_3,rd(unit,B))))),rd(unit,rd(V_3,rd(unit,rd(V_3,
% rd(unit,C))))))
% -> rd(rd(A,B),rd(unit,C))
% Current number of equations to process: 4772
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [448]
% rd(A,rd(unit,rd(B,C))) <->
% rd(unit,rd(rd(unit,rd(C,B)),rd(unit,rd(C,rd(unit,rd(rd(unit,rd(rd(B,C),
% rd(unit,B))),A))))))
% Current number of equations to process: 4771
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [449]
% rd(unit,rd(rd(unit,rd(C,B)),rd(unit,rd(C,rd(unit,rd(rd(unit,rd(rd(B,C),
% rd(unit,B))),A))))))
% <-> rd(A,rd(unit,rd(B,C)))
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [450]
% rd(A,rd(unit,rd(B,C))) <->
% rd(unit,rd(C,rd(unit,rd(rd(unit,rd(rd(B,C),rd(unit,B))),rd(A,rd(B,C))))))
% Current number of equations to process: 4770
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [451]
% rd(unit,rd(C,rd(unit,rd(rd(unit,rd(rd(B,C),rd(unit,B))),rd(A,rd(B,C)))))) <->
% rd(A,rd(unit,rd(B,C)))
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [452]
% rd(A,rd(B,C)) <->
% rd(unit,rd(rd(unit,rd(B,C)),rd(unit,rd(rd(unit,rd(C,rd(unit,rd(rd(unit,B),
% rd(B,C))))),A))))
% Current number of equations to process: 4769
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [453]
% rd(unit,rd(rd(unit,rd(B,C)),rd(unit,rd(rd(unit,rd(C,rd(unit,rd(rd(unit,B),
% rd(B,C))))),A))))
% <-> rd(A,rd(B,C))
% Current number of equations to process: 4769
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [454]
% rd(rd(A,rd(unit,rd(B,C))),rd(unit,rd(C,rd(unit,rd(rd(unit,B),rd(B,C)))))) ->
% rd(A,rd(B,C))
% Current number of equations to process: 4768
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [455] rd(rd(unit,rd(A,B)),rd(unit,rd(A,rd(unit,B)))) -> rd(B,rd(unit,B))
% Current number of equations to process: 4766
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [456]
% rd(rd(unit,rd(A,rd(B,rd(unit,B)))),rd(unit,rd(A,rd(unit,C)))) ->
% rd(B,rd(unit,rd(B,rd(unit,C))))
% Current number of equations to process: 4765
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [457]
% rd(rd(unit,rd(A,rd(unit,B))),rd(unit,rd(rd(A,B),rd(unit,rd(B,rd(unit,
% rd(B,rd(unit,C))))))))
% -> C
% Current number of equations to process: 4763
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [458] rd(A,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,A))))) -> B
% Current number of equations to process: 4762
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [459]
% rd(unit,rd(rd(unit,rd(A,B)),rd(unit,rd(rd(unit,rd(B,rd(unit,rd(rd(unit,A),
% rd(A,B))))),
% rd(unit,rd(B,rd(unit,rd(rd(unit,A),
% rd(A,rd(B,rd(unit,B)))))))))))
% -> rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 4759
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [460]
% rd(unit,rd(B,rd(unit,rd(B,rd(A,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,B))))))))))
% <-> rd(rd(A,rd(op_a,rd(a,rd(op_a,rd(unit,a))))),B)
% Current number of equations to process: 4758
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [461]
% rd(rd(A,rd(op_a,rd(a,rd(op_a,rd(unit,a))))),B) <->
% rd(unit,rd(B,rd(unit,rd(B,rd(A,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,B))))))))))
% Current number of equations to process: 4758
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [462]
% rd(rd(A,B),rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(A,B)))))) ->
% rd(unit,rd(A,B))
% Current number of equations to process: 4757
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [463] rd(A,rd(B,rd(unit,rd(B,C)))) <-> rd(rd(A,rd(unit,C)),rd(B,rd(unit,B)))
% Current number of equations to process: 4755
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [464] rd(rd(A,rd(unit,C)),rd(B,rd(unit,B))) <-> rd(A,rd(B,rd(unit,rd(B,C))))
% Current number of equations to process: 4755
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [465] rd(A,rd(B,rd(unit,rd(B,rd(unit,C))))) <-> rd(unit,rd(B,rd(rd(A,C),B)))
% Current number of equations to process: 4753
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [466] rd(unit,rd(B,rd(rd(A,C),B))) <-> rd(A,rd(B,rd(unit,rd(B,rd(unit,C)))))
% Current number of equations to process: 4753
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [467]
% rd(A,rd(unit,rd(B,rd(unit,B)))) <-> rd(unit,rd(rd(unit,B),rd(A,rd(unit,B))))
% Current number of equations to process: 4752
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [468]
% rd(unit,rd(rd(unit,B),rd(A,rd(unit,B)))) <-> rd(A,rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 4752
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [469] rd(A,rd(rd(B,C),rd(C,B))) <-> rd(unit,rd(rd(B,C),rd(A,rd(B,C))))
% Current number of equations to process: 4751
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [470] rd(unit,rd(rd(B,C),rd(A,rd(B,C)))) <-> rd(A,rd(rd(B,C),rd(C,B)))
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [471] rd(rd(A,rd(B,rd(C,B))),rd(C,rd(B,rd(unit,B)))) -> A
% Current number of equations to process: 4749
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [472] rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(B,rd(A,B)))) -> unit
% Current number of equations to process: 4749
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [473] rd(rd(A,rd(B,rd(unit,A))),rd(C,rd(B,rd(unit,C)))) -> unit
% Current number of equations to process: 4745
% Current number of ordered equations: 2
% Current number of rules: 216
% New rule produced :
% [474] rd(rd(A,rd(B,rd(C,rd(A,rd(unit,C))))),rd(unit,B)) -> unit
% Current number of equations to process: 4745
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [475] rd(rd(A,B),rd(C,rd(B,rd(V_3,rd(C,rd(unit,V_3)))))) -> A
% Current number of equations to process: 4743
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [476] rd(A,rd(B,rd(C,rd(B,rd(unit,C))))) <-> rd(unit,rd(B,rd(unit,rd(B,A))))
% Current number of equations to process: 4741
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [477] rd(unit,rd(B,rd(unit,rd(B,A)))) <-> rd(A,rd(B,rd(C,rd(B,rd(unit,C)))))
% Current number of equations to process: 4741
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [478] rd(B,rd(unit,rd(B,rd(A,rd(unit,A))))) <-> rd(unit,rd(A,rd(B,rd(A,B))))
% Current number of equations to process: 4740
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [479] rd(unit,rd(A,rd(B,rd(A,B)))) <-> rd(B,rd(unit,rd(B,rd(A,rd(unit,A)))))
% Current number of equations to process: 4740
% Current number of ordered equations: 0
% Current number of rules: 222
% Rule [413] rd(A,rd(rd(B,C),A)) <-> rd(rd(A,rd(rd(unit,C),A)),B) is composed into
% [413] rd(A,rd(rd(B,C),A)) <-> rd(A,rd(unit,rd(A,rd(unit,rd(C,B)))))
% Rule [396] rd(A,rd(unit,rd(A,rd(C,B)))) <-> rd(rd(A,rd(rd(unit,B),A)),C) is composed into
% [396] rd(A,rd(unit,rd(A,rd(C,B)))) <-> rd(A,rd(unit,rd(A,rd(unit,rd(B,C)))))
% New rule produced :
% [480] rd(rd(A,rd(rd(unit,B),A)),C) -> rd(A,rd(unit,rd(A,rd(unit,rd(B,C)))))
% Rule [397] rd(rd(A,rd(rd(unit,B),A)),C) <-> rd(A,rd(unit,rd(A,rd(C,B))))
% collapsed.
% Rule [414] rd(rd(A,rd(rd(unit,C),A)),B) <-> rd(A,rd(rd(B,C),A)) collapsed.
% Current number of equations to process: 4735
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [481] rd(A,rd(B,rd(C,rd(B,rd(unit,C))))) <-> rd(rd(A,a),rd(B,rd(a,B)))
% Current number of equations to process: 4723
% Current number of ordered equations: 1
% Current number of rules: 222
% New rule produced :
% [482] rd(rd(A,a),rd(B,rd(a,B))) <-> rd(A,rd(B,rd(C,rd(B,rd(unit,C)))))
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [483]
% rd(unit,rd(B,rd(unit,rd(A,rd(unit,A))))) <-> rd(rd(unit,A),rd(B,rd(unit,A)))
% Current number of equations to process: 4722
% Current number of ordered equations: 1
% Current number of rules: 224
% New rule produced :
% [484]
% rd(rd(unit,A),rd(B,rd(unit,A))) <-> rd(unit,rd(B,rd(unit,rd(A,rd(unit,A)))))
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [485] rd(rd(unit,A),rd(B,rd(A,rd(unit,rd(B,rd(unit,B)))))) -> B
% Current number of equations to process: 4721
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [486] rd(rd(unit,A),rd(B,rd(A,rd(unit,rd(A,rd(unit,B)))))) -> A
% Current number of equations to process: 4720
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [487] rd(rd(A,rd(B,C)),rd(rd(unit,C),B)) -> rd(A,rd(unit,rd(C,rd(unit,C))))
% Rule [347] rd(rd(unit,rd(B,A)),rd(rd(unit,A),B)) -> rd(A,rd(unit,A))
% collapsed.
% Current number of equations to process: 4718
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [488] rd(rd(A,rd(B,rd(C,rd(unit,C)))),rd(C,rd(B,C))) -> A
% Current number of equations to process: 4714
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [489] rd(B,rd(A,B)) <-> rd(unit,rd(A,rd(B,rd(C,rd(B,rd(unit,C))))))
% Current number of equations to process: 4712
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [490] rd(unit,rd(A,rd(B,rd(C,rd(B,rd(unit,C)))))) <-> rd(B,rd(A,B))
% Current number of equations to process: 4712
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [491] rd(unit,rd(A,rd(rd(B,C),rd(C,B)))) <-> rd(rd(B,C),rd(A,rd(B,C)))
% Current number of equations to process: 4709
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [492] rd(rd(B,C),rd(A,rd(B,C))) <-> rd(unit,rd(A,rd(rd(B,C),rd(C,B))))
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 232
% Rule [270]
% rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,C)))) <->
% rd(A,rd(unit,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,C)))))) is composed into
% [270]
% rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,C)))) ->
% rd(A,rd(unit,rd(rd(unit,B),rd(unit,rd(rd(unit,B),rd(unit,rd(B,rd(unit,C))))))))
% Rule [136] ld(A,B) -> rd(rd(unit,rd(A,rd(unit,A))),rd(unit,rd(A,rd(unit,B)))) is composed into
% [136]
% ld(A,B) -> rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(unit,rd(A,rd(unit,B))))))
% New rule produced :
% [493]
% rd(rd(unit,rd(A,rd(unit,A))),B) -> rd(rd(unit,A),rd(unit,rd(rd(unit,A),B)))
% Rule
% [269]
% rd(A,rd(unit,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,C)))))) <->
% rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,C)))) collapsed.
% Rule [400] rd(rd(unit,rd(A,rd(unit,A))),rd(B,A)) -> rd(rd(unit,A),B)
% collapsed.
% Rule
% [442]
% rd(unit,rd(B,rd(A,rd(unit,rd(rd(A,rd(unit,rd(B,rd(unit,C)))),rd(rd(unit,
% rd(B,
% rd(unit,B))),
% rd(unit,
% rd(B,rd(unit,C)))))))))
% -> rd(A,rd(unit,rd(A,rd(unit,B)))) collapsed.
% Rule [458] rd(A,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,A))))) -> B
% collapsed.
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [494] rd(rd(rd(A,B),rd(B,A)),C) -> rd(rd(A,B),rd(unit,rd(rd(A,B),C)))
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [495] rd(rd(rd(A,B),C),rd(rd(B,A),C)) -> rd(A,rd(rd(B,A),rd(unit,B)))
% Current number of equations to process: 4701
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [496] rd(A,rd(B,rd(unit,rd(A,rd(unit,A))))) <-> rd(rd(C,rd(A,rd(unit,C))),B)
% Current number of equations to process: 4699
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [497] rd(rd(C,rd(A,rd(unit,C))),B) <-> rd(A,rd(B,rd(unit,rd(A,rd(unit,A)))))
% Current number of equations to process: 4699
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [498] rd(rd(A,rd(B,A)),rd(C,rd(B,rd(unit,C)))) -> rd(A,rd(unit,A))
% Rule [241] rd(rd(A,rd(op_a,A)),rd(a,rd(op_a,rd(unit,a)))) -> rd(A,rd(unit,A))
% collapsed.
% Current number of equations to process: 4697
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [499]
% rd(unit,rd(A,rd(unit,rd(A,rd(unit,rd(B,C)))))) <->
% rd(rd(C,B),rd(A,rd(unit,A)))
% Current number of equations to process: 4696
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [500]
% rd(rd(C,B),rd(A,rd(unit,A))) <->
% rd(unit,rd(A,rd(unit,rd(A,rd(unit,rd(B,C))))))
% Current number of equations to process: 4696
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [501] rd(rd(A,rd(V_3,C)),rd(B,rd(unit,B))) <-> rd(A,rd(B,rd(rd(C,V_3),B)))
% Current number of equations to process: 4694
% Current number of ordered equations: 3
% Current number of rules: 236
% New rule produced :
% [502] rd(A,rd(B,rd(rd(C,V_3),B))) <-> rd(rd(A,rd(V_3,C)),rd(B,rd(unit,B)))
% Current number of equations to process: 4694
% Current number of ordered equations: 2
% Current number of rules: 237
% New rule produced :
% [503]
% rd(unit,rd(rd(A,B),rd(C,rd(unit,C)))) <->
% rd(C,rd(unit,rd(C,rd(unit,rd(B,A)))))
% Current number of equations to process: 4694
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [504]
% rd(C,rd(unit,rd(C,rd(unit,rd(B,A))))) <->
% rd(unit,rd(rd(A,B),rd(C,rd(unit,C))))
% Current number of equations to process: 4694
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [505] rd(rd(unit,C),rd(B,rd(rd(C,A),B))) <-> rd(rd(unit,A),rd(B,rd(unit,B)))
% Current number of equations to process: 4693
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [506] rd(rd(unit,A),rd(B,rd(unit,B))) <-> rd(rd(unit,C),rd(B,rd(rd(C,A),B)))
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [507] rd(B,rd(A,rd(rd(unit,C),A))) <-> rd(unit,rd(A,rd(unit,rd(A,rd(B,C)))))
% Current number of equations to process: 4691
% Current number of ordered equations: 3
% Current number of rules: 242
% New rule produced :
% [508] rd(B,rd(C,rd(rd(unit,A),C))) <-> rd(rd(unit,rd(A,B)),rd(C,rd(unit,C)))
% Current number of equations to process: 4691
% Current number of ordered equations: 2
% Current number of rules: 243
% New rule produced :
% [509] rd(unit,rd(A,rd(unit,rd(A,rd(B,C))))) <-> rd(B,rd(A,rd(rd(unit,C),A)))
% Current number of equations to process: 4691
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [510] rd(rd(unit,rd(A,B)),rd(C,rd(unit,C))) <-> rd(B,rd(C,rd(rd(unit,A),C)))
% Current number of equations to process: 4691
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [511] rd(B,rd(unit,rd(B,rd(A,C)))) <-> rd(unit,rd(A,rd(B,rd(rd(unit,C),B))))
% Current number of equations to process: 4689
% Current number of ordered equations: 3
% Current number of rules: 246
% New rule produced :
% [512] rd(rd(A,B),rd(C,rd(unit,C))) <-> rd(unit,rd(C,rd(rd(unit,rd(B,A)),C)))
% Current number of equations to process: 4689
% Current number of ordered equations: 2
% Current number of rules: 247
% New rule produced :
% [513] rd(unit,rd(A,rd(B,rd(rd(unit,C),B)))) <-> rd(B,rd(unit,rd(B,rd(A,C))))
% Current number of equations to process: 4689
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [514] rd(unit,rd(C,rd(rd(unit,rd(B,A)),C))) <-> rd(rd(A,B),rd(C,rd(unit,C)))
% Current number of equations to process: 4689
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [515] rd(C,rd(B,rd(rd(rd(unit,C),A),B))) <-> rd(rd(unit,A),rd(B,rd(unit,B)))
% Current number of equations to process: 4687
% Current number of ordered equations: 1
% Current number of rules: 250
% New rule produced :
% [516] rd(rd(unit,A),rd(B,rd(unit,B))) <-> rd(C,rd(B,rd(rd(rd(unit,C),A),B)))
% Current number of equations to process: 4687
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [517] rd(rd(unit,A),rd(B,rd(A,rd(rd(unit,C),A)))) -> rd(A,rd(B,C))
% Rule [357] rd(rd(unit,A),rd(B,rd(A,rd(rd(unit,B),A)))) -> A collapsed.
% Current number of equations to process: 4685
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [518] rd(unit,rd(rd(B,A),rd(unit,B))) <-> rd(rd(unit,A),rd(rd(B,A),rd(A,B)))
% Current number of equations to process: 4684
% Current number of ordered equations: 1
% Current number of rules: 252
% New rule produced :
% [519] rd(rd(unit,A),rd(rd(B,A),rd(A,B))) <-> rd(unit,rd(rd(B,A),rd(unit,B)))
% Current number of equations to process: 4684
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [520] rd(A,rd(unit,rd(rd(unit,B),rd(B,A)))) <-> rd(unit,rd(rd(B,A),rd(A,B)))
% Current number of equations to process: 4683
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [521] rd(unit,rd(rd(B,A),rd(A,B))) <-> rd(A,rd(unit,rd(rd(unit,B),rd(B,A))))
% Current number of equations to process: 4683
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [522] rd(B,rd(rd(A,B),rd(unit,A))) <-> rd(unit,rd(A,rd(rd(B,A),rd(unit,B))))
% Current number of equations to process: 4682
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [523] rd(unit,rd(A,rd(rd(B,A),rd(unit,B)))) <-> rd(B,rd(rd(A,B),rd(unit,A)))
% Current number of equations to process: 4682
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [524] rd(rd(rd(unit,A),B),rd(rd(C,rd(A,rd(unit,C))),B)) -> unit
% Current number of equations to process: 4680
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [525] rd(rd(rd(A,rd(B,rd(unit,A))),C),rd(rd(unit,B),C)) -> unit
% Current number of equations to process: 4679
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [526]
% rd(unit,rd(C,rd(V_3,rd(B,rd(unit,V_3))))) <-> rd(rd(A,rd(B,rd(unit,A))),C)
% Current number of equations to process: 4678
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [527]
% rd(rd(A,rd(B,rd(unit,A))),C) <-> rd(unit,rd(C,rd(V_3,rd(B,rd(unit,V_3)))))
% Current number of equations to process: 4678
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [528] rd(unit,rd(C,rd(unit,rd(B,rd(A,B))))) <-> rd(rd(A,rd(B,rd(unit,B))),C)
% Current number of equations to process: 4676
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [529] rd(rd(A,rd(B,rd(unit,B))),C) <-> rd(unit,rd(C,rd(unit,rd(B,rd(A,B)))))
% Rule
% [229]
% rd(unit,rd(B,rd(rd(A,rd(B,rd(unit,B))),rd(unit,A)))) <->
% rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(unit,rd(B,rd(A,B))))))) collapsed.
% Current number of equations to process: 4676
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [530] rd(rd(B,rd(op_a,B)),rd(A,rd(op_a,A))) <-> rd(unit,rd(A,rd(B,rd(A,B))))
% Current number of equations to process: 4670
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [531] rd(unit,rd(A,rd(B,rd(A,B)))) <-> rd(rd(B,rd(op_a,B)),rd(A,rd(op_a,A)))
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [532]
% rd(unit,rd(B,rd(unit,rd(B,A)))) <-> rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B)))
% Current number of equations to process: 4669
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [533]
% rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B))) <-> rd(unit,rd(B,rd(unit,rd(B,A))))
% Current number of equations to process: 4669
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [534] rd(rd(A,B),rd(rd(C,rd(A,rd(unit,C))),B)) -> rd(A,rd(unit,A))
% Current number of equations to process: 4660
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [535] rd(rd(unit,A),rd(rd(unit,B),rd(A,rd(unit,B)))) -> rd(B,rd(unit,B))
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [536] rd(A,rd(B,rd(unit,rd(B,rd(unit,A))))) <-> rd(C,rd(B,rd(rd(unit,C),B)))
% Current number of equations to process: 4656
% Current number of ordered equations: 3
% Current number of rules: 269
% New rule produced :
% [537] rd(unit,rd(A,rd(B,rd(A,rd(unit,B))))) <-> rd(C,rd(A,rd(rd(unit,C),A)))
% Current number of equations to process: 4656
% Current number of ordered equations: 2
% Current number of rules: 270
% New rule produced :
% [538] rd(C,rd(B,rd(rd(unit,C),B))) <-> rd(A,rd(B,rd(unit,rd(B,rd(unit,A)))))
% Current number of equations to process: 4656
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [539] rd(C,rd(A,rd(rd(unit,C),A))) <-> rd(unit,rd(A,rd(B,rd(A,rd(unit,B)))))
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [540] rd(rd(A,B),rd(C,rd(B,rd(rd(unit,C),B)))) -> rd(A,rd(unit,B))
% Current number of equations to process: 4655
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [541] rd(A,rd(B,rd(C,rd(A,rd(rd(unit,C),A))))) <-> rd(rd(unit,A),B)
% Current number of equations to process: 4653
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [542] rd(rd(unit,A),B) <-> rd(A,rd(B,rd(C,rd(A,rd(rd(unit,C),A)))))
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [543] rd(A,rd(B,rd(unit,rd(B,rd(unit,A))))) <-> rd(rd(unit,C),rd(B,rd(C,B)))
% Current number of equations to process: 4651
% Current number of ordered equations: 3
% Current number of rules: 276
% New rule produced :
% [544] rd(A,rd(B,rd(C,rd(B,rd(unit,C))))) <-> rd(rd(A,V_3),rd(B,rd(V_3,B)))
% Rule [481] rd(A,rd(B,rd(C,rd(B,rd(unit,C))))) <-> rd(rd(A,a),rd(B,rd(a,B)))
% collapsed.
% Current number of equations to process: 4651
% Current number of ordered equations: 2
% Current number of rules: 276
% New rule produced :
% [545] rd(rd(unit,C),rd(B,rd(C,B))) <-> rd(A,rd(B,rd(unit,rd(B,rd(unit,A)))))
% Current number of equations to process: 4651
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [546] rd(rd(A,V_3),rd(B,rd(V_3,B))) <-> rd(A,rd(B,rd(C,rd(B,rd(unit,C)))))
% Rule [482] rd(rd(A,a),rd(B,rd(a,B))) <-> rd(A,rd(B,rd(C,rd(B,rd(unit,C)))))
% collapsed.
% Current number of equations to process: 4651
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [547] rd(rd(A,B),rd(rd(unit,C),rd(B,rd(C,B)))) -> rd(A,rd(unit,B))
% Current number of equations to process: 4650
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [548] rd(rd(rd(A,C),V_3),rd(B,rd(V_3,B))) <-> rd(A,rd(B,rd(rd(unit,C),B)))
% Current number of equations to process: 4648
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [549] rd(A,rd(B,rd(rd(unit,C),B))) <-> rd(rd(rd(A,C),V_3),rd(B,rd(V_3,B)))
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [550] rd(A,rd(B,rd(rd(unit,C),rd(A,rd(C,A))))) <-> rd(rd(unit,A),B)
% Current number of equations to process: 4647
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [551] rd(rd(unit,A),B) <-> rd(A,rd(B,rd(rd(unit,C),rd(A,rd(C,A)))))
% Current number of equations to process: 4647
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [552]
% rd(rd(unit,rd(op_a,rd(A,op_a))),B) ->
% rd(A,rd(unit,rd(op_a,rd(unit,rd(op_a,B)))))
% Rule
% [231]
% rd(rd(unit,rd(op_a,rd(A,op_a))),rd(unit,rd(op_a,rd(unit,B)))) ->
% rd(A,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,B))))))))
% collapsed.
% Current number of equations to process: 4639
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [553] rd(unit,rd(A,rd(unit,rd(A,B)))) <-> rd(rd(unit,rd(C,B)),rd(A,rd(C,A)))
% Rule
% [532]
% rd(unit,rd(B,rd(unit,rd(B,A)))) <-> rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B)))
% collapsed.
% Current number of equations to process: 4621
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [554] rd(rd(unit,rd(C,B)),rd(A,rd(C,A))) <-> rd(unit,rd(A,rd(unit,rd(A,B))))
% Rule
% [533]
% rd(rd(unit,rd(op_a,A)),rd(B,rd(op_a,B))) <-> rd(unit,rd(B,rd(unit,rd(B,A))))
% collapsed.
% Current number of equations to process: 4621
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [555] rd(A,rd(unit,rd(A,rd(V_3,rd(C,B))))) <-> rd(rd(A,rd(rd(B,C),A)),V_3)
% Current number of equations to process: 4620
% Current number of ordered equations: 1
% Current number of rules: 283
% New rule produced :
% [556] rd(rd(A,rd(rd(B,C),A)),V_3) <-> rd(A,rd(unit,rd(A,rd(V_3,rd(C,B)))))
% Current number of equations to process: 4620
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [557] rd(unit,rd(A,rd(B,rd(C,B)))) <-> rd(rd(unit,rd(C,rd(B,rd(unit,B)))),A)
% Current number of equations to process: 4613
% Current number of ordered equations: 1
% Current number of rules: 285
% New rule produced :
% [558] rd(rd(unit,rd(C,rd(B,rd(unit,B)))),A) <-> rd(unit,rd(A,rd(B,rd(C,B))))
% Current number of equations to process: 4613
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [559] rd(unit,rd(A,rd(B,rd(unit,B)))) <-> rd(rd(B,C),rd(A,rd(C,rd(unit,B))))
% Current number of equations to process: 4607
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [560] rd(rd(B,C),rd(A,rd(C,rd(unit,B)))) <-> rd(unit,rd(A,rd(B,rd(unit,B))))
% Rule [342] rd(rd(A,B),rd(unit,rd(B,rd(unit,A)))) -> rd(A,rd(unit,A))
% collapsed.
% Current number of equations to process: 4607
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [561] rd(rd(A,B),rd(C,rd(B,rd(unit,B)))) <-> rd(unit,rd(C,rd(A,rd(unit,B))))
% Rule [244] rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))) -> rd(A,rd(unit,B))
% collapsed.
% Current number of equations to process: 4606
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [562] rd(unit,rd(C,rd(A,rd(unit,B)))) <-> rd(rd(A,B),rd(C,rd(B,rd(unit,B))))
% Current number of equations to process: 4606
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [563] rd(rd(unit,rd(C,rd(B,C))),A) <-> rd(unit,rd(A,rd(B,rd(C,rd(unit,C)))))
% Current number of equations to process: 4603
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [564] rd(unit,rd(A,rd(B,rd(C,rd(unit,C))))) <-> rd(rd(unit,rd(C,rd(B,C))),A)
% Current number of equations to process: 4603
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [565] rd(rd(A,rd(B,rd(C,V_3))),rd(rd(unit,rd(V_3,C)),B)) -> A
% Current number of equations to process: 4601
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [566] rd(rd(rd(unit,rd(A,B)),C),rd(unit,rd(C,rd(B,A)))) -> unit
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [567] rd(A,rd(rd(unit,rd(B,C)),A)) <-> rd(unit,rd(rd(C,B),rd(A,rd(unit,A))))
% Current number of equations to process: 4596
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [568] rd(unit,rd(rd(C,B),rd(A,rd(unit,A)))) <-> rd(A,rd(rd(unit,rd(B,C)),A))
% Current number of equations to process: 4596
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [569]
% rd(rd(rd(unit,rd(A,B)),C),V_3) <-> rd(unit,rd(V_3,rd(unit,rd(C,rd(B,A)))))
% Current number of equations to process: 4594
% Current number of ordered equations: 1
% Current number of rules: 295
% New rule produced :
% [570]
% rd(unit,rd(V_3,rd(unit,rd(C,rd(B,A))))) <-> rd(rd(rd(unit,rd(A,B)),C),V_3)
% Current number of equations to process: 4594
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [571]
% rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3))) <-> rd(rd(unit,rd(V_3,rd(C,B))),A)
% Current number of equations to process: 4590
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [572]
% rd(rd(unit,rd(V_3,rd(C,B))),A) <-> rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3)))
% Current number of equations to process: 4590
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [573]
% rd(unit,rd(V_3,rd(A,rd(unit,C)))) <-> rd(rd(A,rd(B,rd(C,rd(unit,B)))),V_3)
% Current number of equations to process: 4586
% Current number of ordered equations: 1
% Current number of rules: 299
% New rule produced :
% [574]
% rd(rd(A,rd(B,rd(C,rd(unit,B)))),V_3) <-> rd(unit,rd(V_3,rd(A,rd(unit,C))))
% Current number of equations to process: 4586
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [575] rd(rd(A,rd(B,rd(unit,rd(C,V_3)))),rd(rd(V_3,C),B)) -> A
% Current number of equations to process: 4579
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [576] rd(rd(rd(A,B),C),rd(unit,rd(C,rd(unit,rd(B,A))))) -> unit
% Current number of equations to process: 4579
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [577]
% rd(rd(rd(V_3,rd(B,rd(unit,V_3))),C),A) <-> rd(unit,rd(A,rd(rd(unit,B),C)))
% Current number of equations to process: 4575
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [578]
% rd(unit,rd(A,rd(rd(unit,B),C))) <-> rd(rd(rd(V_3,rd(B,rd(unit,V_3))),C),A)
% Current number of equations to process: 4575
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [579]
% rd(unit,rd(A,rd(rd(B,C),V_3))) <-> rd(rd(unit,rd(V_3,rd(unit,rd(C,B)))),A)
% Current number of equations to process: 4574
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [580]
% rd(rd(unit,rd(V_3,rd(unit,rd(C,B)))),A) <-> rd(unit,rd(A,rd(rd(B,C),V_3)))
% Current number of equations to process: 4574
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [581] rd(A,rd(B,rd(rd(rd(unit,A),C),B))) <-> rd(unit,rd(B,rd(rd(unit,C),B)))
% Current number of equations to process: 4568
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [582] rd(unit,rd(B,rd(rd(unit,C),B))) <-> rd(A,rd(B,rd(rd(rd(unit,A),C),B)))
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [583] rd(unit,rd(B,rd(rd(unit,C),B))) <-> rd(rd(unit,A),rd(B,rd(rd(A,C),B)))
% Current number of equations to process: 4567
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [584] rd(rd(unit,A),rd(B,rd(rd(A,C),B))) <-> rd(unit,rd(B,rd(rd(unit,C),B)))
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [585] rd(A,rd(B,rd(rd(C,V_3),B))) <-> rd(unit,rd(B,rd(rd(A,rd(V_3,C)),B)))
% Current number of equations to process: 4564
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [586] rd(unit,rd(B,rd(rd(A,rd(V_3,C)),B))) <-> rd(A,rd(B,rd(rd(C,V_3),B)))
% Current number of equations to process: 4564
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [587] rd(unit,rd(A,rd(rd(unit,rd(B,C)),A))) <-> rd(C,rd(A,rd(rd(unit,B),A)))
% Current number of equations to process: 4558
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [588] rd(C,rd(A,rd(rd(unit,B),A))) <-> rd(unit,rd(A,rd(rd(unit,rd(B,C)),A)))
% Current number of equations to process: 4558
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [589] rd(unit,rd(rd(unit,rd(A,B)),rd(C,rd(A,C)))) <-> rd(C,rd(B,C))
% Current number of equations to process: 4533
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [590] rd(C,rd(B,C)) <-> rd(unit,rd(rd(unit,rd(A,B)),rd(C,rd(A,C))))
% Current number of equations to process: 4533
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [591] rd(B,rd(rd(A,rd(V_3,C)),B)) <-> rd(unit,rd(A,rd(B,rd(rd(C,V_3),B))))
% Current number of equations to process: 4532
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [592] rd(unit,rd(A,rd(B,rd(rd(C,V_3),B)))) <-> rd(B,rd(rd(A,rd(V_3,C)),B))
% Current number of equations to process: 4532
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [593] rd(A,rd(B,rd(A,rd(unit,B)))) <-> rd(unit,rd(rd(unit,C),rd(A,rd(C,A))))
% Current number of equations to process: 4531
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [594] rd(unit,rd(rd(unit,C),rd(A,rd(C,A)))) <-> rd(A,rd(B,rd(A,rd(unit,B))))
% Current number of equations to process: 4531
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [595]
% rd(A,rd(unit,rd(B,rd(unit,rd(B,rd(unit,C)))))) <->
% rd(unit,rd(C,rd(unit,rd(rd(unit,rd(B,rd(unit,rd(B,rd(unit,rd(C,rd(unit,C))))))),A))))
% Current number of equations to process: 4500
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [596]
% rd(unit,rd(C,rd(unit,rd(rd(unit,rd(B,rd(unit,rd(B,rd(unit,rd(C,rd(unit,C))))))),A))))
% <-> rd(A,rd(unit,rd(B,rd(unit,rd(B,rd(unit,C))))))
% Current number of equations to process: 4500
% Current number of ordered equations: 0
% Current number of rules: 322
% Rule [439]
% rd(unit,rd(rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))),rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))
% ->
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,rd(op_b,
% rd(unit,a)))))))))))))) is composed into
% [439]
% rd(unit,rd(rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))),rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,rd(op_b,
% rd(unit,a)))))))))))
% -> rd(op_b,rd(op_b,rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a)))))))
% New rule produced :
% [597]
% rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))
% -> rd(op_b,rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))))
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [598]
% rd(A,rd(unit,C)) <->
% rd(unit,rd(rd(unit,rd(rd(B,C),rd(unit,B))),rd(unit,rd(rd(unit,rd(C,rd(
% rd(B,C),
% rd(unit,B)))),A))))
% Current number of equations to process: 4497
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [599]
% rd(unit,rd(rd(unit,rd(rd(B,C),rd(unit,B))),rd(unit,rd(rd(unit,rd(C,rd(
% rd(B,C),
% rd(unit,B)))),A))))
% <-> rd(A,rd(unit,C))
% Current number of equations to process: 4497
% Current number of ordered equations: 0
% Current number of rules: 325
% Rule [439]
% rd(unit,rd(rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))),rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))
% -> rd(op_b,rd(op_b,rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))))) is composed into
% [439]
% rd(unit,rd(rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))),rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,rd(op_b,
% rd(unit,a)))))))))))
% -> rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a)))))
% New rule produced :
% [600]
% rd(op_b,rd(op_b,rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))))) ->
% rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a)))))
% Current number of equations to process: 4496
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [601] rd(rd(A,B),rd(B,A)) <-> rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(A,B)))))
% Current number of equations to process: 4494
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [602] rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(A,B))))) <-> rd(rd(A,B),rd(B,A))
% Current number of equations to process: 4494
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [603]
% rd(rd(B,rd(unit,rd(rd(unit,A),rd(A,B)))),rd(unit,rd(rd(A,B),rd(unit,rd(A,
% rd(unit,B))))))
% -> rd(B,rd(unit,B))
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [604]
% rd(unit,rd(B,rd(unit,rd(rd(unit,rd(A,B)),rd(A,rd(B,rd(unit,B))))))) <->
% rd(rd(A,rd(B,rd(unit,B))),rd(B,rd(unit,rd(B,A))))
% Current number of equations to process: 4491
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [605]
% rd(rd(A,rd(B,rd(unit,B))),rd(B,rd(unit,rd(B,A)))) <->
% rd(unit,rd(B,rd(unit,rd(rd(unit,rd(A,B)),rd(A,rd(B,rd(unit,B)))))))
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [606]
% rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(A,rd(B,rd(unit,B))))))) <->
% rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(A,B)))
% Current number of equations to process: 4490
% Current number of ordered equations: 1
% Current number of rules: 332
% New rule produced :
% [607]
% rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(A,B))) <->
% rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(A,rd(B,rd(unit,B)))))))
% Current number of equations to process: 4490
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [608]
% rd(unit,rd(B,rd(rd(A,B),rd(unit,rd(A,rd(unit,B)))))) ->
% rd(rd(A,B),rd(unit,A))
% Current number of equations to process: 4489
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [609]
% rd(unit,rd(rd(rd(unit,A),rd(unit,B)),rd(A,rd(unit,rd(B,rd(unit,rd(rd(unit,A),
% rd(unit,B))))))))
% -> rd(A,rd(unit,B))
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [610]
% rd(A,rd(B,rd(unit,rd(B,rd(unit,B))))) <->
% rd(unit,rd(B,rd(A,rd(B,rd(unit,B)))))
% Current number of equations to process: 4487
% Current number of ordered equations: 1
% Current number of rules: 336
% New rule produced :
% [611]
% rd(unit,rd(B,rd(A,rd(B,rd(unit,B))))) <->
% rd(A,rd(B,rd(unit,rd(B,rd(unit,B)))))
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [612]
% rd(unit,rd(rd(unit,rd(rd(A,B),rd(unit,rd(B,rd(unit,rd(B,rd(unit,C))))))),
% rd(unit,rd(rd(A,rd(unit,B)),C)))) -> rd(C,rd(unit,C))
% Current number of equations to process: 4485
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [613]
% rd(A,rd(rd(unit,B),rd(unit,C))) <->
% rd(rd(A,rd(B,rd(unit,C))),rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 4480
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [614]
% rd(rd(A,rd(B,rd(unit,C))),rd(unit,rd(B,rd(unit,B)))) <->
% rd(A,rd(rd(unit,B),rd(unit,C)))
% Current number of equations to process: 4480
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [615]
% rd(rd(A,B),rd(C,rd(unit,rd(C,rd(unit,rd(V_3,rd(unit,V_3))))))) <->
% rd(rd(A,rd(V_3,rd(unit,rd(V_3,rd(unit,B))))),rd(C,rd(unit,C)))
% Current number of equations to process: 4478
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [616]
% rd(rd(A,rd(V_3,rd(unit,rd(V_3,rd(unit,B))))),rd(C,rd(unit,C))) <->
% rd(rd(A,B),rd(C,rd(unit,rd(C,rd(unit,rd(V_3,rd(unit,V_3)))))))
% Current number of equations to process: 4478
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [617]
% rd(op_a,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,rd(rd(unit,rd(A,rd(op_a,A))),
% rd(unit,rd(A,rd(unit,B))))))))))
% -> rd(rd(unit,A),rd(unit,B))
% Current number of equations to process: 4477
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [618]
% rd(A,rd(C,rd(unit,rd(rd(unit,B),rd(B,rd(C,rd(unit,C))))))) <->
% rd(unit,rd(C,rd(unit,rd(rd(unit,rd(rd(B,rd(C,rd(unit,C))),rd(unit,B))),A))))
% Current number of equations to process: 4475
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [619]
% rd(unit,rd(C,rd(unit,rd(rd(unit,rd(rd(B,rd(C,rd(unit,C))),rd(unit,B))),A))))
% <-> rd(A,rd(C,rd(unit,rd(rd(unit,B),rd(B,rd(C,rd(unit,C)))))))
% Current number of equations to process: 4475
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [620]
% rd(rd(A,rd(unit,rd(B,rd(unit,rd(B,rd(unit,B)))))),rd(B,rd(unit,rd(B,rd(unit,
% rd(B,
% rd(unit,B)))))))
% -> rd(A,B)
% Current number of equations to process: 4474
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [621]
% rd(A,rd(unit,rd(C,rd(rd(B,C),rd(unit,B))))) <->
% rd(unit,rd(rd(B,C),rd(A,rd(B,C))))
% Current number of equations to process: 4470
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [622]
% rd(unit,rd(rd(B,C),rd(A,rd(B,C)))) <->
% rd(A,rd(unit,rd(C,rd(rd(B,C),rd(unit,B)))))
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [623]
% rd(rd(a,rd(op_a,rd(unit,a))),rd(unit,A)) ->
% rd(op_a,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,A))))))
% Current number of equations to process: 4469
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [624]
% rd(rd(unit,rd(A,B)),rd(unit,rd(A,rd(unit,rd(B,rd(unit,B)))))) ->
% rd(B,rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 4468
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [625]
% rd(rd(unit,rd(A,B)),rd(unit,rd(A,rd(unit,rd(B,rd(unit,rd(B,rd(unit,B))))))))
% -> rd(B,rd(unit,rd(B,rd(unit,rd(B,rd(unit,B))))))
% Current number of equations to process: 4467
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [626]
% rd(unit,rd(B,rd(unit,rd(rd(B,A),rd(unit,rd(B,rd(unit,rd(B,A)))))))) <->
% rd(rd(A,rd(B,rd(unit,B))),rd(B,rd(unit,rd(B,A))))
% Current number of equations to process: 4465
% Current number of ordered equations: 2
% Current number of rules: 352
% New rule produced :
% [627]
% rd(rd(A,rd(B,rd(unit,B))),rd(B,rd(unit,rd(B,A)))) <->
% rd(unit,rd(B,rd(unit,rd(rd(B,A),rd(unit,rd(B,rd(unit,rd(B,A))))))))
% Current number of equations to process: 4465
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [628]
% rd(rd(unit,rd(B,rd(unit,rd(B,A)))),rd(unit,rd(A,rd(B,rd(unit,B))))) ->
% rd(unit,rd(B,rd(unit,rd(rd(B,A),rd(unit,rd(B,rd(unit,rd(B,A))))))))
% Current number of equations to process: 4465
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [629]
% rd(rd(unit,A),rd(C,rd(unit,rd(rd(unit,rd(rd(B,C),rd(unit,B))),A)))) ->
% rd(unit,rd(C,rd(unit,rd(rd(unit,B),rd(B,C)))))
% Current number of equations to process: 4463
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [630]
% rd(unit,rd(rd(a,rd(op_a,rd(unit,a))),rd(rd(A,op_a),rd(unit,rd(A,rd(a,
% rd(op_a,
% rd(unit,a))))))))
% -> rd(unit,rd(op_a,rd(rd(A,op_a),rd(op_a,A))))
% Current number of equations to process: 4462
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [631]
% rd(unit,rd(B,rd(unit,rd(rd(B,rd(unit,rd(B,rd(unit,rd(B,rd(unit,B)))))),A))))
% <-> rd(unit,rd(B,rd(unit,rd(B,rd(unit,rd(B,rd(unit,rd(B,rd(A,B)))))))))
% Current number of equations to process: 4461
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [632]
% rd(unit,rd(B,rd(unit,rd(B,rd(unit,rd(B,rd(unit,rd(B,rd(A,B))))))))) <->
% rd(unit,rd(B,rd(unit,rd(rd(B,rd(unit,rd(B,rd(unit,rd(B,rd(unit,B)))))),A))))
% Current number of equations to process: 4461
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [633]
% rd(A,rd(unit,C)) <->
% rd(unit,rd(rd(unit,rd(rd(B,C),rd(unit,B))),rd(unit,rd(rd(B,C),rd(unit,
% rd(rd(B,C),A))))))
% Current number of equations to process: 4460
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [634]
% rd(unit,rd(rd(unit,rd(rd(B,C),rd(unit,B))),rd(unit,rd(rd(B,C),rd(unit,
% rd(rd(B,C),A))))))
% <-> rd(A,rd(unit,C))
% Current number of equations to process: 4460
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [635]
% rd(A,rd(unit,A)) <->
% rd(unit,rd(op_a,rd(unit,rd(op_a,rd(A,rd(op_a,rd(A,op_a)))))))
% Current number of equations to process: 4459
% Current number of ordered equations: 1
% Current number of rules: 361
% New rule produced :
% [636]
% rd(unit,rd(op_a,rd(unit,rd(op_a,rd(A,rd(op_a,rd(A,op_a))))))) <->
% rd(A,rd(unit,A))
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [637]
% rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,rd(op_a,rd(unit,rd(op_a,A)))))))) ->
% A
% Current number of equations to process: 4457
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [638]
% rd(rd(A,B),rd(unit,rd(B,rd(op_a,B)))) <->
% rd(unit,rd(op_a,rd(unit,rd(rd(unit,B),A))))
% Current number of equations to process: 4455
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [639]
% rd(unit,rd(op_a,rd(unit,rd(rd(unit,B),A)))) <->
% rd(rd(A,B),rd(unit,rd(B,rd(op_a,B))))
% Current number of equations to process: 4455
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [640]
% rd(A,rd(B,rd(unit,rd(op_a,rd(unit,rd(B,rd(a,rd(op_a,rd(unit,a))))))))) <->
% rd(unit,rd(B,rd(unit,rd(rd(op_a,rd(unit,rd(B,rd(a,rd(op_a,rd(unit,a)))))),A))))
% Current number of equations to process: 4454
% Current number of ordered equations: 1
% Current number of rules: 366
% New rule produced :
% [641]
% rd(unit,rd(B,rd(unit,rd(rd(op_a,rd(unit,rd(B,rd(a,rd(op_a,rd(unit,a)))))),A))))
% <-> rd(A,rd(B,rd(unit,rd(op_a,rd(unit,rd(B,rd(a,rd(op_a,rd(unit,a)))))))))
% Current number of equations to process: 4454
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [642] rd(A,rd(rd(unit,B),C)) <-> rd(rd(A,rd(B,C)),rd(unit,rd(B,rd(unit,B))))
% Rule
% [613]
% rd(A,rd(rd(unit,B),rd(unit,C))) <->
% rd(rd(A,rd(B,rd(unit,C))),rd(unit,rd(B,rd(unit,B)))) collapsed.
% Current number of equations to process: 4450
% Current number of ordered equations: 1
% Current number of rules: 367
% New rule produced :
% [643] rd(rd(A,rd(B,C)),rd(unit,rd(B,rd(unit,B)))) <-> rd(A,rd(rd(unit,B),C))
% Rule
% [614]
% rd(rd(A,rd(B,rd(unit,C))),rd(unit,rd(B,rd(unit,B)))) <->
% rd(A,rd(rd(unit,B),rd(unit,C))) collapsed.
% Current number of equations to process: 4450
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [644]
% rd(B,rd(C,rd(unit,rd(C,rd(unit,A))))) <->
% rd(rd(unit,rd(A,B)),rd(C,rd(unit,C)))
% Current number of equations to process: 4448
% Current number of ordered equations: 3
% Current number of rules: 368
% New rule produced :
% [645]
% rd(A,rd(B,rd(unit,rd(B,rd(unit,C))))) <->
% rd(unit,rd(B,rd(unit,rd(B,rd(A,C)))))
% Rule
% [620]
% rd(rd(A,rd(unit,rd(B,rd(unit,rd(B,rd(unit,B)))))),rd(B,rd(unit,rd(B,rd(unit,
% rd(B,
% rd(unit,B)))))))
% -> rd(A,B) collapsed.
% Current number of equations to process: 4448
% Current number of ordered equations: 2
% Current number of rules: 368
% New rule produced :
% [646]
% rd(unit,rd(B,rd(unit,rd(B,rd(A,C))))) <->
% rd(A,rd(B,rd(unit,rd(B,rd(unit,C)))))
% Rule
% [374]
% rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(rd(a,
% rd(op_b,
% rd(unit,a))),
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))))))
% -> unit collapsed.
% Rule
% [439]
% rd(unit,rd(rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))),rd(unit,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(unit,
% rd(op_b,
% rd(a,rd(op_b,
% rd(unit,a)))))))))))
% -> rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a))))) collapsed.
% Rule
% [597]
% rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,rd(op_b,rd(unit,
% rd(op_b,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))
% -> rd(op_b,rd(unit,rd(op_b,rd(a,rd(op_b,rd(unit,a)))))) collapsed.
% Current number of equations to process: 4451
% Current number of ordered equations: 1
% Current number of rules: 366
% New rule produced :
% [647]
% rd(op_b,rd(unit,rd(op_b,rd(op_b,rd(op_b,rd(unit,rd(op_b,rd(op_b,rd(op_b,
% rd(unit,
% rd(op_b,
% rd(op_b,
% rd(unit,
% rd(rd(op_b,a),
% rd(rd(a,
% rd(op_b,
% rd(unit,a))),
% rd(a,
% rd(a,
% rd(op_b,
% rd(unit,a)))))))))))))))))))
% -> unit
% Current number of equations to process: 4450
% Current number of ordered equations: 1
% Current number of rules: 367
% New rule produced :
% [648] rd(A,rd(B,rd(unit,C))) <-> rd(rd(unit,A),rd(B,rd(A,rd(C,A))))
% Current number of equations to process: 4901
% Current number of ordered equations: 2
% Current number of rules: 368
% New rule produced :
% [649] rd(rd(unit,A),rd(B,rd(A,rd(C,A)))) <-> rd(A,rd(B,rd(unit,C)))
% Rule [517] rd(rd(unit,A),rd(B,rd(A,rd(rd(unit,C),A)))) -> rd(A,rd(B,C))
% collapsed.
% Current number of equations to process: 4901
% Current number of ordered equations: 1
% Current number of rules: 368
% New rule produced :
% [650] rd(B,rd(rd(A,rd(unit,C)),B)) <-> rd(unit,rd(A,rd(B,rd(C,B))))
% Current number of equations to process: 4918
% Current number of ordered equations: 2
% Current number of rules: 369
% New rule produced :
% [651] rd(unit,rd(A,rd(B,rd(C,B)))) <-> rd(B,rd(rd(A,rd(unit,C)),B))
% Current number of equations to process: 4918
% Current number of ordered equations: 1
% Current number of rules: 370
% New rule produced :
% [652]
% rd(A,rd(op_a,rd(unit,rd(op_a,A)))) <-> rd(unit,rd(op_a,rd(A,rd(op_a,A))))
% Current number of equations to process: 1165
% Current number of ordered equations: 2
% Current number of rules: 371
% New rule produced :
% [653]
% rd(unit,rd(op_a,rd(A,rd(op_a,A)))) <-> rd(A,rd(op_a,rd(unit,rd(op_a,A))))
% Current number of equations to process: 1165
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [654] rd(A,rd(B,rd(unit,rd(B,A)))) <-> rd(unit,rd(B,rd(A,rd(B,A))))
% Rule
% [652]
% rd(A,rd(op_a,rd(unit,rd(op_a,A)))) <-> rd(unit,rd(op_a,rd(A,rd(op_a,A))))
% collapsed.
% Current number of equations to process: 1209
% Current number of ordered equations: 2
% Current number of rules: 372
% New rule produced :
% [655] rd(unit,rd(B,rd(A,rd(B,A)))) <-> rd(A,rd(B,rd(unit,rd(B,A))))
% Rule
% [653]
% rd(unit,rd(op_a,rd(A,rd(op_a,A)))) <-> rd(A,rd(op_a,rd(unit,rd(op_a,A))))
% collapsed.
% Current number of equations to process: 1209
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [656] rd(A,rd(rd(B,rd(unit,C)),A)) <-> rd(rd(A,rd(C,A)),B)
% Current number of equations to process: 3499
% Current number of ordered equations: 2
% Current number of rules: 373
% New rule produced :
% [657] rd(rd(A,rd(C,A)),B) <-> rd(A,rd(rd(B,rd(unit,C)),A))
% Current number of equations to process: 3499
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [658] rd(rd(A,rd(B,A)),C) <-> rd(A,rd(rd(unit,rd(rd(unit,B),C)),A))
% Current number of equations to process: 3785
% Current number of ordered equations: 2
% Current number of rules: 375
% New rule produced :
% [659] rd(A,rd(rd(unit,rd(rd(unit,B),C)),A)) <-> rd(rd(A,rd(B,A)),C)
% Current number of equations to process: 3785
% Current number of ordered equations: 1
% Current number of rules: 376
% New rule produced :
% [660] rd(rd(unit,rd(A,rd(B,A))),rd(C,A)) <-> rd(B,rd(C,rd(unit,A)))
% Current number of equations to process: 4051
% Current number of ordered equations: 2
% Current number of rules: 377
% New rule produced :
% [661] rd(B,rd(C,rd(unit,A))) <-> rd(rd(unit,rd(A,rd(B,A))),rd(C,A))
% Current number of equations to process: 4051
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [662] rd(unit,rd(rd(A,rd(B,A)),C)) <-> rd(C,rd(A,rd(unit,rd(A,B))))
% Current number of equations to process: 4580
% Current number of ordered equations: 2
% Current number of rules: 379
% New rule produced :
% [663] rd(C,rd(A,rd(unit,rd(A,B)))) <-> rd(unit,rd(rd(A,rd(B,A)),C))
% Current number of equations to process: 4580
% Current number of ordered equations: 1
% Current number of rules: 380
% New rule produced : [664] rd(rd(A,rd(B,C)),rd(A,rd(unit,rd(C,B)))) -> unit
% Rule [338] rd(rd(A,rd(B,A)),rd(A,rd(unit,rd(A,B)))) -> unit collapsed.
% Current number of equations to process: 4579
% Current number of ordered equations: 1
% Current number of rules: 380
% New rule produced : [665] rd(rd(A,rd(unit,rd(B,C))),rd(A,rd(C,B))) -> unit
% Rule [3Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------