%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP732-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n130.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 00:24:22 EDT 2014

% Result   : Timeout 300.04s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP732-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n130.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 01:28:53 CDT 2014
% % CPUTime  : 300.04 
% Processing problem /tmp/CiME_49589_n130.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " d,c,b,a,unit : constant;  rd : 2;  ld : 2;  mult : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% mult(unit,A) = A;
% mult(A,unit) = A;
% mult(A,ld(A,B)) = B;
% ld(A,mult(A,B)) = B;
% rd(mult(A,B),B) = A;
% mult(rd(A,B),B) = A;
% mult(rd(mult(A,B),A),mult(A,C)) = mult(A,mult(B,C));
% mult(mult(A,B),ld(B,mult(C,B))) = mult(mult(A,C),B);
% ";
% 
% let s1 = status F "
% d lr_lex;
% c lr_lex;
% b lr_lex;
% a lr_lex;
% rd lr_lex;
% ld lr_lex;
% mult lr_lex;
% unit lr_lex;
% ";
% 
% let p1 = precedence F "
% mult > ld > rd > unit > a > b > c > d";
% 
% let s2 = status F "
% d mul;
% c mul;
% b mul;
% a mul;
% rd mul;
% ld mul;
% mult mul;
% unit mul;
% ";
% 
% let p2 = precedence F "
% mult > ld > rd > unit = a = b = c = d";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " mult(a,mult(b,ld(mult(c,d),mult(d,c)))) = mult(mult(a,b),ld(mult(c,d),mult(d,c)));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { mult(unit,A) = A,
% mult(A,unit) = A,
% mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% rd(mult(A,B),B) = A,
% mult(rd(A,B),B) = A,
% mult(rd(mult(A,B),A),mult(A,C)) =
% mult(A,mult(B,C)),
% mult(mult(A,B),ld(B,mult(C,B))) =
% mult(mult(A,C),B) } (8 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(a,mult(b,ld(mult(c,d),mult(d,c)))) =
% mult(mult(a,b),ld(mult(c,d),mult(d,c))) }
% (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] ld(A,mult(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(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 5
% New rule produced : [6] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 6
% New rule produced : [7] mult(mult(A,B),ld(B,mult(C,B))) <-> mult(mult(A,C),B)
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 7
% New rule produced : [8] mult(rd(mult(A,B),A),mult(A,C)) -> mult(A,mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 8
% New rule produced : [9] mult(mult(A,C),B) <-> mult(mult(A,B),ld(B,mult(C,B)))
% Current number of equations to process: 0
% Current number of ordered equations: 8
% 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: 6
% 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: 5
% Current number of rules: 11
% New rule produced : [12] ld(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 12
% New rule produced : [13] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 13
% New rule produced : [14] rd(A,ld(B,A)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% 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] mult(mult(rd(A,B),C),B) -> mult(A,ld(B,mult(C,B)))
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C))
% Current number of equations to process: 12
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced : [18] mult(rd(mult(A,B),A),C) -> mult(A,mult(B,ld(A,C)))
% Rule [8] mult(rd(mult(A,B),A),mult(A,C)) -> mult(A,mult(B,C)) collapsed.
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [19] mult(A,mult(B,ld(A,unit))) -> rd(mult(A,B),A)
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [20] ld(A,rd(mult(A,B),A)) <-> mult(B,ld(A,unit))
% Current number of equations to process: 55
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced : [21] mult(B,ld(A,unit)) <-> ld(A,rd(mult(A,B),A))
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [22] rd(mult(A,rd(B,ld(A,unit))),A) -> mult(A,B)
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] ld(A,ld(B,rd(mult(B,A),B))) -> ld(B,unit)
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] mult(mult(A,B),A) -> mult(A,rd(B,ld(A,unit)))
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [25] ld(ld(A,B),ld(A,rd(B,A))) -> ld(A,unit)
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [26] mult(A,B) <-> mult(B,rd(ld(B,A),ld(B,unit)))
% Rule [6] mult(rd(A,B),B) -> A collapsed.
% Rule [16] mult(mult(rd(A,B),C),B) -> mult(A,ld(B,mult(C,B))) collapsed.
% Rule [24] mult(mult(A,B),A) -> mult(A,rd(B,ld(A,unit))) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(a,mult(b,ld(mult(d,rd(ld(d,c),ld(d,unit))),mult(d,c)))) = mult(ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% mult(d,c)),
% rd(ld(
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% mult(d,c)),
% mult(b,
% rd(
% ld(b,a),
% ld(b,unit)))),
% ld(ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% mult(d,c)),unit)))
% 
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [27] mult(B,rd(ld(B,rd(A,B)),ld(B,unit))) -> A
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [28] ld(ld(A,mult(B,A)),ld(A,B)) -> ld(A,unit)
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [29] rd(ld(A,rd(B,A)),ld(A,unit)) -> ld(A,B)
% Rule [27] mult(B,rd(ld(B,rd(A,B)),ld(B,unit))) -> A collapsed.
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 24
% Rule [9] mult(mult(A,C),B) <-> mult(mult(A,B),ld(B,mult(C,B))) is composed into 
% [9] mult(mult(A,C),B) <-> mult(mult(A,B),rd(ld(B,C),ld(B,unit)))
% New rule produced : [30] ld(A,mult(B,A)) -> rd(ld(A,B),ld(A,unit))
% Rule [7] mult(mult(A,B),ld(B,mult(C,B))) <-> mult(mult(A,C),B) collapsed.
% Rule [28] ld(ld(A,mult(B,A)),ld(A,B)) -> ld(A,unit) collapsed.
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [31] ld(mult(A,B),mult(mult(A,C),B)) -> rd(ld(B,C),ld(B,unit))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [32] rd(mult(A,mult(B,C)),mult(A,C)) -> rd(mult(A,B),A)
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 25
% Rule [17] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C)) is composed into 
% [17] mult(B,mult(ld(B,A),C)) -> rd(mult(A,rd(ld(B,mult(B,C)),ld(B,unit))),B)
% New rule produced :
% [33] mult(rd(A,B),C) -> rd(mult(A,rd(ld(B,C),ld(B,unit))),B)
% Rule [18] mult(rd(mult(A,B),A),C) -> mult(A,mult(B,ld(A,C))) collapsed.
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [34] mult(ld(A,B),C) -> ld(A,rd(mult(B,rd(C,ld(A,unit))),A))
% Rule
% [17] mult(B,mult(ld(B,A),C)) -> rd(mult(A,rd(ld(B,mult(B,C)),ld(B,unit))),B)
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(a,mult(b,ld(mult(d,rd(ld(d,c),ld(d,unit))),mult(d,c)))) = ld(mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% rd(mult(
% mult(d,c),
% rd(
% rd(
% ld(
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% mult(d,c)),
% mult(b,
% rd(
% ld(b,a),
% ld(b,unit)))),
% ld(
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% mult(d,c)),unit)),
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),unit))),
% mult(d,
% rd(ld(d,c),
% ld(d,unit)))))
% 
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [35] rd(mult(A,mult(B,ld(A,C))),C) -> rd(mult(A,B),A)
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [36] rd(rd(mult(A,B),A),mult(B,ld(A,unit))) -> A
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [37] ld(mult(A,B),mult(A,rd(B,ld(A,unit)))) -> A
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [38] ld(A,mult(B,rd(ld(B,A),ld(B,unit)))) -> B
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [39] rd(mult(A,B),rd(ld(B,A),ld(B,unit))) -> B
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [40] rd(mult(A,B),mult(A,ld(C,B))) -> rd(mult(A,C),A)
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [41] rd(mult(A,rd(B,C)),A) -> rd(mult(A,B),mult(A,C))
% Rule [22] rd(mult(A,rd(B,ld(A,unit))),A) -> mult(A,B) collapsed.
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [42] rd(A,mult(A,ld(B,unit))) -> rd(mult(A,B),A)
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 32
% Rule [20] ld(A,rd(mult(A,B),A)) <-> mult(B,ld(A,unit)) is composed into 
% [20] ld(A,rd(mult(A,B),A)) <-> ld(rd(mult(B,A),B),B)
% New rule produced : [43] mult(A,ld(B,unit)) -> ld(rd(mult(A,B),A),A)
% Rule [19] mult(A,mult(B,ld(A,unit))) -> rd(mult(A,B),A) collapsed.
% Rule [21] mult(B,ld(A,unit)) <-> ld(A,rd(mult(A,B),A)) collapsed.
% Rule [36] rd(rd(mult(A,B),A),mult(B,ld(A,unit))) -> A collapsed.
% Rule [42] rd(A,mult(A,ld(B,unit))) -> rd(mult(A,B),A) collapsed.
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [44] ld(A,ld(rd(mult(A,B),A),A)) -> ld(B,unit)
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [45] ld(ld(A,B),unit) -> ld(A,ld(rd(B,A),A))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(a,mult(b,ld(mult(d,rd(ld(d,c),ld(d,unit))),mult(d,c)))) = ld(mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% rd(mult(
% mult(d,c),
% rd(
% rd(
% ld(
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% mult(d,c)),
% mult(b,
% rd(
% ld(b,a),
% ld(b,unit)))),
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% ld(
% rd(
% mult(d,c),
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit)))),
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit)))))),
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),unit))),
% mult(d,
% rd(ld(d,c),
% ld(d,unit)))))
% 
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [46] rd(unit,ld(A,ld(rd(B,A),A))) -> ld(A,B)
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [47] rd(unit,ld(A,ld(B,A))) -> rd(ld(A,B),ld(A,unit))
% Rule [46] rd(unit,ld(A,ld(rd(B,A),A))) -> ld(A,B) collapsed.
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [48] mult(A,ld(rd(mult(B,A),B),B)) -> rd(mult(A,B),A)
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [49] rd(A,mult(B,ld(C,ld(B,A)))) -> rd(mult(B,C),B)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [50] mult(A,ld(B,ld(A,C))) -> ld(rd(mult(A,B),A),C)
% Rule [49] rd(A,mult(B,ld(C,ld(B,A)))) -> rd(mult(B,C),B) collapsed.
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [51] mult(A,ld(B,C)) -> ld(rd(mult(A,B),A),mult(A,C))
% Rule [5] mult(A,ld(A,B)) -> B collapsed.
% Rule [35] rd(mult(A,mult(B,ld(A,C))),C) -> rd(mult(A,B),A) collapsed.
% Rule [40] rd(mult(A,B),mult(A,ld(C,B))) -> rd(mult(A,C),A) collapsed.
% Rule [43] mult(A,ld(B,unit)) -> ld(rd(mult(A,B),A),A) collapsed.
% Rule [48] mult(A,ld(rd(mult(B,A),B),B)) -> rd(mult(A,B),A) collapsed.
% Rule [50] mult(A,ld(B,ld(A,C))) -> ld(rd(mult(A,B),A),C) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% ld(rd(mult(a,mult(b,mult(d,rd(ld(d,c),ld(d,unit))))),mult(b,rd(ld(b,a),
% ld(b,unit)))),
% mult(a,mult(b,mult(d,c)))) = ld(mult(d,rd(ld(d,c),ld(d,unit))),rd(mult(
% mult(d,c),
% rd(
% rd(
% ld(
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% mult(d,c)),
% mult(b,
% rd(
% ld(b,a),
% ld(b,unit)))),
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),
% ld(
% rd(
% mult(d,c),
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit)))),
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit)))))),
% ld(
% mult(d,
% rd(
% ld(d,c),
% ld(d,unit))),unit))),
% mult(d,
% rd(ld(d,c),
% ld(d,unit)))))
% 
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [52] rd(A,ld(B,rd(mult(B,A),B))) <-> rd(mult(A,B),A)
% Current number of equations to process: 474
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced : [53] rd(mult(A,B),A) <-> rd(A,ld(B,rd(mult(B,A),B)))
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [54] ld(rd(mult(A,mult(B,A)),mult(A,B)),mult(A,B)) -> rd(mult(A,B),A)
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [55] rd(ld(rd(mult(A,B),A),A),ld(B,unit)) -> A
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [56] ld(rd(ld(A,B),ld(A,unit)),unit) -> ld(A,ld(B,A))
% Current number of equations to process: 516
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced : [57] rd(ld(A,rd(A,B)),ld(A,unit)) -> rd(unit,ld(A,B))
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [58] ld(B,ld(mult(B,A),B)) -> ld(rd(A,ld(B,unit)),unit)
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [59] ld(A,ld(rd(mult(A,B),A),C)) -> ld(B,ld(A,C))
% Rule [44] ld(A,ld(rd(mult(A,B),A),A)) -> ld(B,unit) collapsed.
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [60] ld(rd(A,B),mult(A,rd(unit,ld(A,B)))) -> A
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [61] ld(rd(A,mult(A,B)),mult(A,rd(unit,B))) -> A
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [62] rd(mult(mult(A,B),C),rd(ld(C,B),ld(C,unit))) -> mult(A,C)
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [63] ld(rd(mult(A,B),A),mult(A,mult(B,C))) -> mult(A,C)
% Current number of equations to process: 627
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [64] rd(mult(mult(A,B),rd(ld(B,C),ld(B,unit))),B) -> mult(A,C)
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [65] rd(mult(mult(A,B),C),B) -> mult(A,rd(mult(B,C),B))
% Rule [64] rd(mult(mult(A,B),rd(ld(B,C),ld(B,unit))),B) -> mult(A,C)
% collapsed.
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [66]
% ld(rd(mult(B,rd(rd(ld(B,C),ld(B,unit)),ld(B,unit))),mult(C,B)),ld(rd(
% mult(C,
% rd(B,
% ld(C,unit))),
% mult(C,B)),
% mult(mult(C,B),
% rd(mult(A,
% rd(B,
% ld(C,unit))),C))))
% -> mult(A,B)
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [67]
% rd(ld(C,ld(B,mult(C,rd(rd(ld(ld(B,unit),rd(rd(ld(ld(C,unit),rd(ld(rd(
% ld(C,
% rd(
% ld(B,C),
% ld(B,unit))),
% ld(C,unit)),
% mult(A,
% rd(ld(C,B),
% ld(C,unit)))),
% ld(C,ld(rd(
% ld(B,C),
% ld(B,unit)),C)))),
% ld(C,ld(rd(unit,C),C))),ld(C,unit))),
% ld(B,ld(rd(unit,B),B))),ld(B,unit))))),C) -> mult(A,B)
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [68]
% ld(rd(mult(C,B),C),ld(rd(mult(C,C),mult(C,B)),mult(C,rd(mult(A,rd(B,ld(
% rd(C,B),unit))),
% rd(C,B))))) -> mult(A,B)
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [69] rd(mult(C,rd(ld(A,ld(rd(C,A),mult(A,B))),ld(A,unit))),A) -> mult(A,B)
% Current number of equations to process: 770
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [70]
% rd(rd(rd(ld(A,B),ld(A,unit)),ld(A,unit)),A) ->
% rd(rd(rd(ld(A,B),ld(A,unit)),A),rd(unit,A))
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [71] rd(rd(A,ld(B,unit)),B) -> rd(rd(A,B),rd(unit,B))
% Rule
% [70]
% rd(rd(rd(ld(A,B),ld(A,unit)),ld(A,unit)),A) ->
% rd(rd(rd(ld(A,B),ld(A,unit)),A),rd(unit,A)) collapsed.
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [72] rd(rd(ld(A,unit),A),rd(unit,A)) -> rd(unit,A)
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [73] ld(rd(unit,A),rd(ld(A,unit),A)) -> rd(unit,A)
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [74] ld(rd(mult(B,A),mult(B,B)),B) -> ld(rd(A,B),rd(A,rd(A,B)))
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [75] mult(A,A) -> ld(rd(unit,A),rd(unit,rd(unit,A)))
% Rule
% [68]
% ld(rd(mult(C,B),C),ld(rd(mult(C,C),mult(C,B)),mult(C,rd(mult(A,rd(B,ld(
% rd(C,B),unit))),
% rd(C,B))))) -> mult(A,B)
% collapsed.
% Rule [74] ld(rd(mult(B,A),mult(B,B)),B) -> ld(rd(A,B),rd(A,rd(A,B)))
% collapsed.
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [76] ld(A,ld(rd(unit,A),rd(unit,rd(unit,A)))) -> A
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [77] rd(ld(rd(unit,A),rd(unit,rd(unit,A))),A) -> A
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 50
% Rule [26] mult(A,B) <-> mult(B,rd(ld(B,A),ld(B,unit))) is composed into 
% [26]
% mult(A,B) ->
% ld(rd(unit,B),rd(rd(rd(ld(rd(unit,B),rd(rd(ld(B,ld(B,A)),B),rd(unit,B))),B),
% rd(unit,B)),rd(unit,B)))
% New rule produced :
% [78]
% mult(A,rd(B,ld(A,unit))) ->
% ld(rd(unit,A),rd(rd(rd(ld(rd(unit,A),rd(rd(ld(A,B),A),rd(unit,A))),A),
% rd(unit,A)),rd(unit,A)))
% Rule [37] ld(mult(A,B),mult(A,rd(B,ld(A,unit)))) -> A collapsed.
% Rule [38] ld(A,mult(B,rd(ld(B,A),ld(B,unit)))) -> B collapsed.
% Rule
% [66]
% ld(rd(mult(B,rd(rd(ld(B,C),ld(B,unit)),ld(B,unit))),mult(C,B)),ld(rd(
% mult(C,
% rd(B,
% ld(C,unit))),
% mult(C,B)),
% mult(mult(C,B),
% rd(mult(A,
% rd(B,
% ld(C,unit))),C))))
% -> mult(A,B) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% ld(rd(ld(rd(unit,ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(rd(ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))),
% ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))),b)),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))))),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))))))),
% rd(rd(rd(ld(rd(unit,ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(rd(ld(rd(unit,ld(rd(unit,d),rd(rd(rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(rd(ld(ld(rd(unit,d),rd(rd(rd(ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(ld(rd(unit,d),rd(rd(rd(ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),b)),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))))))),
% rd(rd(ld(ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(rd(ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(rd(ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),b)),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))))),
% ld(ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(rd(ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(rd(ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),b)),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))))),a)),
% ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(rd(ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))),
% ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))),b)),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))))),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))))))),
% rd(unit,ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(rd(ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(rd(ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),b)),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))))))))),
% ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),rd(
% rd(
% rd(
% ld(
% rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(
% rd(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),b)),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))))),
% rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))))))),
% rd(unit,ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(rd(ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(rd(ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))),
% ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))),b)),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),
% rd(rd(ld(d,ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))))),
% ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))))),
% rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))))))),
% rd(unit,ld(rd(unit,ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),rd(unit,d)))),rd(
% rd(
% rd(
% ld(
% rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(
% rd(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),b)),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))))),
% rd(unit,
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))))))))),
% ld(rd(unit,b),rd(rd(rd(ld(rd(unit,b),rd(rd(ld(b,ld(b,a)),b),rd(unit,b))),b),
% rd(unit,b)),rd(unit,b)))),ld(rd(unit,ld(rd(unit,ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(rd(rd(ld(
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(
% rd(
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),b)),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))),
% ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))),
% rd(unit,ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))))),
% rd(rd(rd(ld(rd(unit,ld(
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(
% rd(
% rd(
% ld(
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(
% rd(
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),b)),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))))),
% rd(rd(ld(ld(rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(rd(
% rd(
% ld(
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(
% rd(
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),b)),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))),
% rd(unit,
% ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))),
% ld(ld(rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(rd(
% rd(
% ld(
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(
% rd(
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% ld(
% rd(unit,c),
% rd(
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% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),b)),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))),
% rd(unit,
% ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))),a)),
% ld(rd(unit,
% ld(rd(unit,c),
% rd(rd(rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(rd(rd(ld(
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(
% rd(
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% rd(unit,c),
% rd(
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% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),b)),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))),
% ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(rd(unit,c),
% rd(rd(rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))),
% rd(unit,ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)),
% rd(unit,c))))))),
% rd(unit,ld(rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)),
% rd(unit,c)))),
% rd(rd(
% rd(
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% rd(unit,
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% rd(unit,c),
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% rd(unit,c),
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% ld(c,
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% rd(unit,c)))),
% rd(
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% rd(unit,c),
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% rd(unit,c),
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% ld(c,
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% rd(unit,c)),
% rd(unit,c))),
% ld(
% ld(
% rd(unit,c),
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% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)),
% rd(unit,c))),b)),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
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% rd(unit,c),
% rd(
% rd(
% ld(c,
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% rd(unit,c)),
% rd(unit,c)))))),
% ld(
% rd(unit,c),
% rd(
% rd(
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% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)),
% rd(unit,c))))),
% rd(unit,
% ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))))))),
% ld(rd(unit,ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)),
% rd(unit,c)))),
% rd(rd(rd(ld(rd(unit,
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% rd(rd(
% rd(
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% rd(unit,c),
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% rd(
% ld(c,
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% rd(unit,c)))),
% rd(rd(ld(
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% rd(unit,c),
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% rd(unit,c),
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% ld(c,
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% rd(unit,c))),
% ld(
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% rd(unit,c),
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% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)),
% rd(unit,c))),b)),
% ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(rd(unit,c),
% rd(rd(rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)))))),
% ld(rd(unit,c),
% rd(rd(rd(ld(
% rd(unit,c),
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% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,c)),
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% rd(unit,ld(rd(unit,c),
% rd(rd(
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% rd(unit,c),
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% ld(c,
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% rd(unit,c))))),
% rd(unit,ld(rd(unit,c),
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% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
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% rd(unit,ld(rd(unit,ld(
% rd(unit,c),
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% rd(unit,c),
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% rd(
% ld(c,
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% rd(unit,
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% rd(unit,c),
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% ld(c,
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% rd(
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% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),b)),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))),
% ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))),
% rd(unit,ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))))),
% rd(unit,ld(rd(unit,ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(rd(rd(ld(rd(unit,
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(rd(
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),b)),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,
% ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))),
% ld(rd(unit,c),
% rd(rd(rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(unit,ld(rd(unit,c),
% rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))))),
% rd(unit,ld(rd(unit,c),
% rd(rd(rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))))))))) = 
% ld(ld(rd(unit,d),rd(rd(rd(ld(rd(unit,d),rd(rd(ld(d,ld(d,c)),d),rd(unit,d))),d),
% rd(unit,d)),rd(unit,d))),rd(ld(rd(unit,c),rd(ld(rd(unit,
% rd(
% rd(
% rd(
% ld(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% ld(
% rd(unit,b),
% rd(
% rd(
% rd(
% ld(
% rd(unit,b),
% rd(
% rd(
% ld(b,
% ld(b,a)),b),
% rd(unit,b))),b),
% rd(unit,b)),
% rd(unit,b)))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c)),
% rd(rd(
% rd(
% ld(
% rd(unit,
% rd(
% rd(
% rd(
% ld(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% ld(
% rd(unit,b),
% rd(
% rd(
% rd(
% ld(
% rd(unit,b),
% rd(
% rd(
% ld(b,
% ld(b,a)),b),
% rd(unit,b))),b),
% rd(unit,b)),
% rd(unit,b)))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c)),
% rd(
% rd(
% ld(
% rd(
% rd(
% rd(
% ld(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% ld(
% rd(unit,b),
% rd(
% rd(
% rd(
% ld(
% rd(unit,b),
% rd(
% rd(
% ld(b,
% ld(b,a)),b),
% rd(unit,b))),b),
% rd(unit,b)),
% rd(unit,b)))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c),
% ld(
% rd(
% rd(
% rd(
% ld(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% ld(
% rd(unit,b),
% rd(
% rd(
% rd(
% ld(
% rd(unit,b),
% rd(
% rd(
% ld(b,
% ld(b,a)),b),
% rd(unit,b))),b),
% rd(unit,b)),
% rd(unit,b)))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% rd(
% rd(
% rd(
% ld(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% ld(
% rd(unit,b),
% rd(
% rd(
% rd(
% ld(
% rd(unit,b),
% rd(
% rd(
% ld(b,
% ld(b,a)),b),
% rd(unit,b))),b),
% rd(unit,b)),
% rd(unit,b)))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c)),
% rd(unit,
% rd(
% rd(
% rd(
% ld(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% ld(
% rd(unit,b),
% rd(
% rd(
% rd(
% ld(
% rd(unit,b),
% rd(
% rd(
% ld(b,
% ld(b,a)),b),
% rd(unit,b))),b),
% rd(unit,b)),
% rd(unit,b)))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c)))),
% rd(
% rd(
% rd(
% ld(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% ld(
% rd(unit,b),
% rd(
% rd(
% rd(
% ld(
% rd(unit,b),
% rd(
% rd(
% ld(b,
% ld(b,a)),b),
% rd(unit,b))),b),
% rd(unit,b)),
% rd(unit,b)))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c)),
% rd(unit,
% rd(
% rd(
% rd(
% ld(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% ld(
% rd(unit,b),
% rd(
% rd(
% rd(
% ld(
% rd(unit,b),
% rd(
% rd(
% ld(b,
% ld(b,a)),b),
% rd(unit,b))),b),
% rd(unit,b)),
% rd(unit,b)))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c))),
% rd(unit,
% rd(rd(
% rd(
% ld(
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)))),
% ld(
% rd(unit,b),
% rd(
% rd(
% rd(
% ld(
% rd(unit,b),
% rd(
% rd(
% ld(b,
% ld(b,a)),b),
% rd(unit,b))),b),
% rd(unit,b)),
% rd(unit,b)))),
% ld(
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d))),
% ld(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))),
% ld(
% rd(unit,d),
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c)))),
% rd(unit,c))),
% ld(rd(unit,d),rd(rd(rd(ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)))))
% 
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [79]
% ld(ld(rd(unit,B),rd(rd(rd(ld(rd(unit,B),rd(rd(ld(B,ld(B,A)),B),rd(unit,B))),B),
% rd(unit,B)),rd(unit,B))),ld(rd(unit,B),rd(rd(rd(ld(
% rd(unit,B),
% rd(
% rd(
% ld(B,
% ld(B,C)),B),
% rd(unit,B))),B),
% rd(unit,B)),
% rd(unit,B)))) ->
% rd(ld(B,ld(A,C)),ld(B,unit))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [80]
% ld(rd(ld(rd(unit,B),rd(rd(rd(ld(rd(unit,B),rd(rd(ld(B,ld(B,A)),B),rd(unit,B))),B),
% rd(unit,B)),rd(unit,B))),A),ld(rd(unit,ld(rd(unit,C),
% rd(rd(rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))),
% rd(rd(rd(ld(rd(unit,
% ld(rd(unit,C),
% rd(rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))),
% rd(rd(ld(
% ld(
% rd(unit,C),
% rd(
% rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C))),
% ld(
% ld(
% rd(unit,C),
% rd(
% rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C))),A)),
% ld(rd(unit,C),
% rd(rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))),
% rd(unit,ld(
% rd(unit,C),
% rd(
% rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))))),
% ld(rd(unit,C),
% rd(rd(rd(ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))),
% rd(unit,ld(rd(unit,C),
% rd(rd(rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C))))),
% rd(unit,ld(rd(unit,C),
% rd(rd(rd(ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))))))
% ->
% ld(rd(unit,C),rd(rd(rd(ld(rd(unit,C),rd(rd(ld(C,ld(C,A)),C),rd(unit,C))),C),
% rd(unit,C)),rd(unit,C)))
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [81] ld(A,rd(ld(B,ld(rd(unit,B),A)),B)) -> rd(unit,B)
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [82]
% ld(A,ld(rd(ld(rd(unit,B),rd(rd(rd(ld(rd(unit,B),rd(rd(ld(B,ld(B,A)),B),
% rd(unit,B))),B),rd(unit,B)),
% rd(unit,B))),A),ld(rd(unit,C),rd(rd(rd(ld(rd(unit,C),
% rd(rd(
% ld(C,
% ld(C,A)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C))))) ->
% ld(B,C)
% Current number of equations to process: 948
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [83] ld(rd(unit,ld(A,B)),ld(A,rd(A,B))) -> ld(A,unit)
% Current number of equations to process: 988
% Current number of ordered equations: 0
% Current number of rules: 53
% Rule [26]
% mult(A,B) ->
% ld(rd(unit,B),rd(rd(rd(ld(rd(unit,B),rd(rd(ld(B,ld(B,A)),B),rd(unit,B))),B),
% rd(unit,B)),rd(unit,B))) is composed into [26]
% mult(A,B) ->
% ld(B,
% ld(rd(unit,B),
% rd(A,
% rd(unit,B))))
% New rule produced :
% [84]
% ld(rd(unit,A),rd(rd(rd(ld(rd(unit,A),rd(rd(ld(A,ld(A,B)),A),rd(unit,A))),A),
% rd(unit,A)),rd(unit,A))) ->
% ld(A,ld(rd(unit,A),rd(B,rd(unit,A))))
% Rule
% [79]
% ld(ld(rd(unit,B),rd(rd(rd(ld(rd(unit,B),rd(rd(ld(B,ld(B,A)),B),rd(unit,B))),B),
% rd(unit,B)),rd(unit,B))),ld(rd(unit,B),rd(rd(rd(ld(
% rd(unit,B),
% rd(
% rd(
% ld(B,
% ld(B,C)),B),
% rd(unit,B))),B),
% rd(unit,B)),
% rd(unit,B)))) ->
% rd(ld(B,ld(A,C)),ld(B,unit)) collapsed.
% Rule
% [80]
% ld(rd(ld(rd(unit,B),rd(rd(rd(ld(rd(unit,B),rd(rd(ld(B,ld(B,A)),B),rd(unit,B))),B),
% rd(unit,B)),rd(unit,B))),A),ld(rd(unit,ld(rd(unit,C),
% rd(rd(rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))),
% rd(rd(rd(ld(rd(unit,
% ld(rd(unit,C),
% rd(rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))),
% rd(rd(ld(
% ld(
% rd(unit,C),
% rd(
% rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C))),
% ld(
% ld(
% rd(unit,C),
% rd(
% rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C))),A)),
% ld(rd(unit,C),
% rd(rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))),
% rd(unit,ld(
% rd(unit,C),
% rd(
% rd(
% rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))))),
% ld(rd(unit,C),
% rd(rd(rd(ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))),
% rd(unit,ld(rd(unit,C),
% rd(rd(rd(
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C))))),
% rd(unit,ld(rd(unit,C),
% rd(rd(rd(ld(
% rd(unit,C),
% rd(
% rd(
% ld(C,
% ld(C,B)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C)))))))
% ->
% ld(rd(unit,C),rd(rd(rd(ld(rd(unit,C),rd(rd(ld(C,ld(C,A)),C),rd(unit,C))),C),
% rd(unit,C)),rd(unit,C))) collapsed.
% Rule
% [82]
% ld(A,ld(rd(ld(rd(unit,B),rd(rd(rd(ld(rd(unit,B),rd(rd(ld(B,ld(B,A)),B),
% rd(unit,B))),B),rd(unit,B)),
% rd(unit,B))),A),ld(rd(unit,C),rd(rd(rd(ld(rd(unit,C),
% rd(rd(
% ld(C,
% ld(C,A)),C),
% rd(unit,C))),C),
% rd(unit,C)),
% rd(unit,C))))) ->
% ld(B,C) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% ld(rd(ld(ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),ld(rd(unit,ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% rd(b,rd(unit,ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))))),
% ld(rd(unit,ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),ld(rd(unit,
% ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% rd(b,rd(unit,
% ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))))),
% rd(a,rd(unit,ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),ld(rd(unit,
% ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% rd(b,rd(unit,
% ld(d,
% ld(rd(unit,d),
% rd(c,
% rd(unit,d)))))))))))),
% ld(b,ld(rd(unit,b),rd(a,rd(unit,b))))),ld(ld(ld(c,ld(rd(unit,c),rd(d,
% rd(unit,c)))),
% ld(rd(unit,ld(c,ld(rd(unit,c),
% rd(d,rd(unit,c))))),
% rd(b,rd(unit,ld(c,ld(rd(unit,c),
% rd(d,rd(unit,c)))))))),
% ld(rd(unit,ld(ld(c,ld(rd(unit,c),
% rd(d,rd(unit,c)))),
% ld(rd(unit,ld(c,
% ld(rd(unit,c),
% rd(d,
% rd(unit,c))))),
% rd(b,rd(unit,ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))))))),
% rd(a,rd(unit,ld(ld(c,ld(rd(unit,c),
% rd(d,rd(unit,c)))),
% ld(rd(unit,ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% rd(b,rd(unit,ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))))))))))) = 
% ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),rd(ld(rd(unit,c),rd(ld(rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c),
% ld(rd(unit,
% rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c)),
% rd(rd(rd(
% rd(
% ld(
% rd(unit,c),
% rd(
% rd(
% ld(c,
% ld(c,d)),c),
% rd(unit,c))),c),
% rd(unit,c)),
% rd(unit,c)),
% rd(unit,
% rd(rd(rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))),
% ld(rd(unit,d),
% ld(rd(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% rd(
% ld(d,
% ld(d,c)),d),
% rd(unit,d))),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c))))),
% rd(unit,c))),
% ld(d,ld(rd(unit,d),rd(c,rd(unit,d))))))
% 
% Current number of equations to process: 1016
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [85] ld(A,ld(A,ld(rd(unit,A),A))) -> rd(rd(unit,A),ld(A,unit))
% Current number of equations to process: 1036
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [86]
% ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(C,rd(ld(rd(unit,C),rd(ld(
% rd(
% rd(
% ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C))))),C),
% rd(unit,C)),
% ld(
% rd(unit,
% rd(
% rd(
% ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C))))),C),
% rd(unit,C))),
% rd(
% rd(A,
% rd(unit,C)),
% rd(unit,
% rd(
% rd(
% ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C))))),C),
% rd(unit,C)))))),
% rd(unit,C))),C)))
% -> C
% Current number of equations to process: 1047
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [87]
% ld(ld(C,ld(rd(unit,C),rd(rd(A,B),rd(unit,C)))),ld(ld(B,ld(B,ld(rd(unit,B),
% rd(C,rd(unit,B))))),
% ld(rd(unit,ld(B,ld(B,ld(
% rd(unit,B),
% rd(C,
% rd(unit,B)))))),
% rd(A,rd(unit,ld(B,ld(B,
% ld(rd(unit,B),
% rd(C,
% rd(unit,B))))))))))
% -> B
% Current number of equations to process: 1077
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [88]
% rd(ld(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),ld(rd(unit,ld(C,ld(rd(unit,C),
% rd(B,rd(unit,C))))),
% rd(rd(A,B),rd(unit,ld(C,ld(
% rd(unit,C),
% rd(B,
% rd(unit,C)))))))),
% ld(B,rd(ld(rd(C,ld(B,unit)),ld(rd(unit,rd(C,ld(B,unit))),rd(A,rd(unit,
% rd(C,ld(B,unit)))))),B)))
% -> B
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [89]
% ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(ld(ld(A,C),ld(rd(unit,
% ld(A,C)),
% rd(B,rd(unit,
% ld(A,C))))),
% ld(rd(unit,ld(ld(A,C),
% ld(rd(unit,ld(A,C)),
% rd(B,rd(unit,
% ld(A,C)))))),
% rd(A,rd(unit,ld(ld(A,C),
% ld(rd(unit,
% ld(A,C)),
% rd(B,rd(unit,
% ld(A,C))))))))))
% -> C
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [90]
% ld(ld(ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A)),ld(rd(unit,
% ld(B,
% ld(rd(
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C)))),B),A))),
% rd(C,rd(unit,
% ld(B,
% ld(
% rd(
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C)))),B),A)))))),
% ld(rd(unit,ld(ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A)),
% ld(rd(unit,ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A))),
% rd(C,rd(unit,ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A))))))),
% rd(B,rd(unit,ld(ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A)),
% ld(rd(unit,ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A))),
% rd(C,rd(unit,ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A))))))))))
% -> A
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [91]
% rd(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(rd(ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A)))),B),B))
% -> A
% Current number of equations to process: 1203
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [92]
% rd(ld(rd(B,A),ld(rd(unit,rd(B,A)),rd(rd(unit,A),rd(unit,rd(B,A))))),rd(unit,A))
% -> ld(B,ld(rd(unit,B),rd(rd(unit,A),rd(unit,B))))
% Current number of equations to process: 1226
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [93]
% ld(ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(rd(B,ld(A,unit)),rd(unit,ld(A,C))))),
% ld(rd(unit,ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(rd(B,ld(A,unit)),rd(unit,
% ld(A,C)))))),
% rd(A,rd(unit,ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(rd(B,ld(A,unit)),rd(unit,
% ld(A,C)))))))))
% ->
% ld(B,rd(ld(rd(unit,B),rd(ld(rd(rd(C,B),rd(unit,B)),ld(rd(unit,rd(rd(C,B),
% rd(unit,B))),
% rd(rd(A,rd(unit,B)),
% rd(unit,rd(rd(C,B),
% rd(unit,B)))))),
% rd(unit,B))),B))
% Current number of equations to process: 1255
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [94] ld(A,ld(rd(B,A),rd(B,rd(B,A)))) -> ld(rd(B,A),unit)
% Rule [76] ld(A,ld(rd(unit,A),rd(unit,rd(unit,A)))) -> A collapsed.
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [95]
% ld(rd(B,ld(rd(A,B),unit)),ld(rd(unit,rd(B,ld(rd(A,B),unit))),rd(rd(A,B),
% rd(unit,
% rd(B,ld(
% rd(A,B),unit))))))
% -> ld(rd(A,B),ld(rd(unit,rd(A,B)),rd(A,rd(unit,rd(A,B)))))
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [96]
% ld(A,rd(ld(rd(B,ld(A,unit)),ld(rd(unit,rd(B,ld(A,unit))),rd(rd(ld(B,ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A),
% rd(unit,rd(B,
% ld(A,unit)))))),A))
% <->
% ld(rd(ld(A,unit),ld(B,unit)),ld(rd(unit,rd(ld(A,unit),ld(B,unit))),rd(B,
% rd(unit,
% rd(
% ld(A,unit),
% ld(B,unit))))))
% Current number of equations to process: 1343
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [97]
% ld(rd(ld(A,unit),ld(B,unit)),ld(rd(unit,rd(ld(A,unit),ld(B,unit))),rd(B,
% rd(unit,
% rd(
% ld(A,unit),
% ld(B,unit))))))
% <->
% ld(A,rd(ld(rd(B,ld(A,unit)),ld(rd(unit,rd(B,ld(A,unit))),rd(rd(ld(B,ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A),
% rd(unit,rd(B,
% ld(A,unit)))))),A))
% Current number of equations to process: 1343
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [98] ld(ld(ld(A,B),B),ld(ld(A,B),A)) -> ld(A,ld(rd(B,A),A))
% Current number of equations to process: 1447
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [99]
% ld(B,rd(ld(rd(unit,B),rd(ld(rd(rd(rd(ld(B,C),B),rd(unit,B)),rd(unit,B)),
% ld(rd(unit,rd(rd(rd(ld(B,C),B),rd(unit,B)),rd(unit,B))),
% rd(rd(A,rd(unit,B)),rd(unit,rd(rd(rd(ld(B,C),B),
% rd(unit,B)),rd(unit,B)))))),
% rd(unit,B))),B)) ->
% ld(C,rd(ld(rd(unit,C),rd(ld(rd(rd(B,C),rd(unit,C)),ld(rd(unit,rd(rd(B,C),
% rd(unit,C))),
% rd(rd(A,rd(unit,C)),
% rd(unit,rd(rd(B,C),
% rd(unit,C)))))),
% rd(unit,C))),C))
% Current number of equations to process: 1474
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [100]
% ld(ld(rd(A,B),ld(rd(A,B),ld(rd(unit,rd(A,B)),rd(A,rd(unit,rd(A,B)))))),B) ->
% ld(rd(A,B),unit)
% Current number of equations to process: 1529
% Current number of ordered equations: 0
% Current number of rules: 66
% Rule [93]
% ld(ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(rd(B,ld(A,unit)),rd(unit,ld(A,C))))),
% ld(rd(unit,ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(rd(B,ld(A,unit)),rd(unit,
% ld(A,C)))))),
% rd(A,rd(unit,ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(rd(B,ld(A,unit)),
% rd(unit,ld(A,C))))))))) ->
% ld(B,rd(ld(rd(unit,B),rd(ld(rd(rd(C,B),rd(unit,B)),ld(rd(unit,rd(
% rd(C,B),
% rd(unit,B))),
% rd(rd(A,rd(unit,B)),
% rd(unit,rd(rd(C,B),
% rd(unit,B)))))),
% rd(unit,B))),B)) is composed into [93]
% ld(ld(ld(A,C),
% ld(rd(unit,
% ld(A,C)),
% rd(rd(B,
% ld(A,unit)),
% rd(unit,
% ld(A,C))))),
% ld(rd(unit,
% ld(ld(A,C),
% ld(rd(unit,
% ld(A,C)),
% rd(rd(B,
% ld(A,unit)),
% rd(unit,
% ld(A,C)))))),
% rd(A,rd(unit,
% ld(
% ld(A,C),
% ld(
% rd(unit,
% ld(A,C)),
% rd(
% rd(B,
% ld(A,unit)),
% rd(unit,
% ld(A,C)))))))))
% ->
% ld(B,ld(
% rd(unit,B),
% ld(
% rd(
% rd(C,B),
% rd(unit,B)),
% ld(
% rd(unit,
% rd(
% rd(C,B),
% rd(unit,B))),
% rd(
% rd(A,
% rd(unit,B)),
% rd(unit,
% rd(
% rd(C,B),
% rd(unit,B))))))))
% Rule [78]
% mult(A,rd(B,ld(A,unit))) ->
% ld(rd(unit,A),rd(rd(rd(ld(rd(unit,A),rd(rd(ld(A,B),A),rd(unit,A))),A),
% rd(unit,A)),rd(unit,A))) is composed into [78]
% mult(A,
% rd(B,
% ld(A,unit)))
% ->
% ld(rd(unit,A),
% rd(rd(
% ld(
% rd(unit,A),
% rd(
% ld(A,B),A)),
% rd(unit,A)),
% rd(unit,A)))
% New rule produced :
% [101] rd(ld(rd(unit,A),rd(B,rd(unit,A))),A) -> ld(rd(unit,A),B)
% Rule [77] rd(ld(rd(unit,A),rd(unit,rd(unit,A))),A) -> A collapsed.
% Rule
% [84]
% ld(rd(unit,A),rd(rd(rd(ld(rd(unit,A),rd(rd(ld(A,ld(A,B)),A),rd(unit,A))),A),
% rd(unit,A)),rd(unit,A))) ->
% ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))) collapsed.
% Rule
% [86]
% ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(C,rd(ld(rd(unit,C),rd(ld(
% rd(
% rd(
% ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C))))),C),
% rd(unit,C)),
% ld(
% rd(unit,
% rd(
% rd(
% ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C))))),C),
% rd(unit,C))),
% rd(
% rd(A,
% rd(unit,C)),
% rd(unit,
% rd(
% rd(
% ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C))))),C),
% rd(unit,C)))))),
% rd(unit,C))),C)))
% -> C collapsed.
% Rule
% [99]
% ld(B,rd(ld(rd(unit,B),rd(ld(rd(rd(rd(ld(B,C),B),rd(unit,B)),rd(unit,B)),
% ld(rd(unit,rd(rd(rd(ld(B,C),B),rd(unit,B)),rd(unit,B))),
% rd(rd(A,rd(unit,B)),rd(unit,rd(rd(rd(ld(B,C),B),
% rd(unit,B)),rd(unit,B)))))),
% rd(unit,B))),B)) ->
% ld(C,rd(ld(rd(unit,C),rd(ld(rd(rd(B,C),rd(unit,C)),ld(rd(unit,rd(rd(B,C),
% rd(unit,C))),
% rd(rd(A,rd(unit,C)),
% rd(unit,rd(rd(B,C),
% rd(unit,C)))))),
% rd(unit,C))),C)) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% ld(rd(ld(ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),ld(rd(unit,ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% rd(b,rd(unit,ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))))),
% ld(rd(unit,ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),ld(rd(unit,
% ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% rd(b,rd(unit,
% ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))))),
% rd(a,rd(unit,ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),ld(rd(unit,
% ld(d,ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% rd(b,rd(unit,
% ld(d,
% ld(rd(unit,d),
% rd(c,
% rd(unit,d)))))))))))),
% ld(b,ld(rd(unit,b),rd(a,rd(unit,b))))),ld(ld(ld(c,ld(rd(unit,c),rd(d,
% rd(unit,c)))),
% ld(rd(unit,ld(c,ld(rd(unit,c),
% rd(d,rd(unit,c))))),
% rd(b,rd(unit,ld(c,ld(rd(unit,c),
% rd(d,rd(unit,c)))))))),
% ld(rd(unit,ld(ld(c,ld(rd(unit,c),
% rd(d,rd(unit,c)))),
% ld(rd(unit,ld(c,
% ld(rd(unit,c),
% rd(d,
% rd(unit,c))))),
% rd(b,rd(unit,ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))))))),
% rd(a,rd(unit,ld(ld(c,ld(rd(unit,c),
% rd(d,rd(unit,c)))),
% ld(rd(unit,ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% rd(b,rd(unit,ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))))))))))) = 
% ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),rd(ld(rd(unit,c),rd(ld(rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% ld(d,
% ld(d,c)),d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c),
% ld(rd(unit,
% rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% ld(d,
% ld(d,c)),d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c)),
% rd(rd(rd(
% ld(
% rd(unit,c),
% rd(
% ld(c,
% ld(c,d)),c)),
% rd(unit,c)),
% rd(unit,c)),
% rd(unit,
% rd(rd(rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))),
% ld(rd(unit,d),
% ld(rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% ld(d,
% ld(d,c)),d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c))))),
% rd(unit,c))),
% ld(d,ld(rd(unit,d),rd(c,rd(unit,d))))))
% 
% Current number of equations to process: 1552
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [102] ld(ld(A,B),B) <-> rd(ld(ld(A,B),A),ld(A,ld(rd(B,A),A)))
% Current number of equations to process: 1572
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [103] rd(ld(ld(A,B),A),ld(A,ld(rd(B,A),A))) <-> ld(ld(A,B),B)
% Current number of equations to process: 1572
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [104]
% ld(ld(C,ld(rd(unit,C),rd(rd(ld(A,B),ld(A,unit)),rd(unit,C)))),ld(rd(unit,
% ld(C,
% ld(rd(unit,C),
% rd(rd(
% ld(A,B),
% ld(A,unit)),
% rd(unit,C))))),
% rd(A,rd(unit,
% ld(C,
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(A,B),
% ld(A,unit)),
% rd(unit,C))))))))
% ->
% ld(ld(C,ld(rd(unit,C),rd(A,rd(unit,C)))),ld(rd(unit,ld(C,ld(rd(unit,C),
% rd(A,rd(unit,C))))),
% rd(B,rd(unit,ld(C,ld(rd(unit,C),
% rd(A,rd(unit,C))))))))
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [105]
% ld(B,ld(rd(unit,B),ld(rd(rd(rd(ld(B,C),B),rd(unit,B)),rd(unit,B)),ld(
% rd(unit,
% rd(
% rd(
% rd(
% ld(B,C),B),
% rd(unit,B)),
% rd(unit,B))),
% rd(
% rd(A,
% rd(unit,B)),
% rd(unit,
% rd(
% rd(
% rd(
% ld(B,C),B),
% rd(unit,B)),
% rd(unit,B))))))))
% ->
% ld(C,ld(rd(unit,C),ld(rd(rd(B,C),rd(unit,C)),ld(rd(unit,rd(rd(B,C),rd(unit,C))),
% rd(rd(A,rd(unit,C)),rd(unit,
% rd(rd(B,C),
% rd(unit,C))))))))
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [106]
% ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(C,ld(rd(unit,C),rd(A,rd(unit,C))))),
% ld(rd(B,C),ld(rd(unit,rd(B,C)),rd(A,rd(unit,rd(B,C)))))) -> A
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [107]
% ld(A,ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(C,ld(rd(unit,C),rd(A,
% rd(unit,C))))),A))
% -> ld(rd(B,C),unit)
% Current number of equations to process: 1768
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [108]
% ld(rd(ld(ld(B,C),ld(rd(unit,ld(B,C)),rd(A,rd(unit,ld(B,C))))),A),A) ->
% ld(ld(B,ld(rd(C,B),B)),ld(ld(B,C),rd(A,ld(B,C))))
% Current number of equations to process: 1806
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [109]
% rd(ld(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),ld(rd(unit,ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A))))),
% rd(A,rd(unit,ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A)))))))),
% ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))) ->
% rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A))
% Current number of equations to process: 1857
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [110]
% rd(ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),C),ld(B,ld(A,C))) -> A
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [111]
% rd(ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(C,ld(rd(unit,C),
% rd(A,rd(unit,C))))),
% ld(B,C)) -> A
% Current number of equations to process: 1968
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [112]
% ld(rd(A,ld(B,rd(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),B))),ld(B,ld(rd(unit,B),
% rd(A,
% rd(unit,B)))))
% -> A
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [113] ld(rd(A,ld(rd(B,A),unit)),unit) -> ld(rd(B,A),ld(B,rd(B,A)))
% Current number of equations to process: 2068
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [114] ld(rd(ld(rd(unit,A),B),A),unit) -> ld(rd(unit,A),ld(B,rd(unit,A)))
% Current number of equations to process: 2068
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [115]
% rd(ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(rd(B,ld(A,unit)),unit)) ->
% A
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [116]
% ld(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),ld(rd(unit,ld(C,ld(rd(unit,C),
% rd(B,rd(unit,C))))),
% rd(A,rd(unit,ld(C,ld(rd(unit,C),
% rd(B,rd(unit,C))))))))
% ->
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(C,B),rd(unit,B)),rd(unit,B)),ld(rd(unit,
% rd(
% rd(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B))),
% rd(rd(A,
% rd(unit,B)),
% rd(unit,
% rd(rd(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B)))))))),B)
% Rule
% [88]
% rd(ld(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),ld(rd(unit,ld(C,ld(rd(unit,C),
% rd(B,rd(unit,C))))),
% rd(rd(A,B),rd(unit,ld(C,ld(
% rd(unit,C),
% rd(B,
% rd(unit,C)))))))),
% ld(B,rd(ld(rd(C,ld(B,unit)),ld(rd(unit,rd(C,ld(B,unit))),rd(A,rd(unit,
% rd(C,ld(B,unit)))))),B)))
% -> B collapsed.
% Rule
% [89]
% ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(ld(ld(A,C),ld(rd(unit,
% ld(A,C)),
% rd(B,rd(unit,
% ld(A,C))))),
% ld(rd(unit,ld(ld(A,C),
% ld(rd(unit,ld(A,C)),
% rd(B,rd(unit,
% ld(A,C)))))),
% rd(A,rd(unit,ld(ld(A,C),
% ld(rd(unit,
% ld(A,C)),
% rd(B,rd(unit,
% ld(A,C))))))))))
% -> C collapsed.
% Rule
% [90]
% ld(ld(ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A)),ld(rd(unit,
% ld(B,
% ld(rd(
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C)))),B),A))),
% rd(C,rd(unit,
% ld(B,
% ld(
% rd(
% ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C)))),B),A)))))),
% ld(rd(unit,ld(ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A)),
% ld(rd(unit,ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A))),
% rd(C,rd(unit,ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A))))))),
% rd(B,rd(unit,ld(ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A)),
% ld(rd(unit,ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A))),
% rd(C,rd(unit,ld(B,ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),A))))))))))
% -> A collapsed.
% Rule
% [93]
% ld(ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(rd(B,ld(A,unit)),rd(unit,ld(A,C))))),
% ld(rd(unit,ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(rd(B,ld(A,unit)),rd(unit,
% ld(A,C)))))),
% rd(A,rd(unit,ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(rd(B,ld(A,unit)),rd(unit,
% ld(A,C)))))))))
% ->
% ld(B,ld(rd(unit,B),ld(rd(rd(C,B),rd(unit,B)),ld(rd(unit,rd(rd(C,B),rd(unit,B))),
% rd(rd(A,rd(unit,B)),rd(unit,
% rd(rd(C,B),
% rd(unit,B))))))))
% collapsed.
% Rule
% [104]
% ld(ld(C,ld(rd(unit,C),rd(rd(ld(A,B),ld(A,unit)),rd(unit,C)))),ld(rd(unit,
% ld(C,
% ld(rd(unit,C),
% rd(rd(
% ld(A,B),
% ld(A,unit)),
% rd(unit,C))))),
% rd(A,rd(unit,
% ld(C,
% ld(
% rd(unit,C),
% rd(
% rd(
% ld(A,B),
% ld(A,unit)),
% rd(unit,C))))))))
% ->
% ld(ld(C,ld(rd(unit,C),rd(A,rd(unit,C)))),ld(rd(unit,ld(C,ld(rd(unit,C),
% rd(A,rd(unit,C))))),
% rd(B,rd(unit,ld(C,ld(rd(unit,C),
% rd(A,rd(unit,C))))))))
% collapsed.
% Rule
% [109]
% rd(ld(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),ld(rd(unit,ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A))))),
% rd(A,rd(unit,ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A)))))))),
% ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))) ->
% rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A))
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% ld(rd(ld(rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),rd(unit,c))),
% rd(rd(b,rd(unit,c)),rd(unit,rd(rd(rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c),
% ld(rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c))),rd(rd(b,
% rd(unit,c)),
% rd(unit,
% rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c)),
% rd(a,rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c)),ld(rd(unit,rd(
% rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c))),
% rd(rd(b,rd(unit,c)),
% rd(unit,rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c))))),
% ld(b,ld(rd(unit,b),rd(a,rd(unit,b))))),ld(rd(ld(d,ld(rd(unit,d),ld(
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(
% rd(b,
% rd(unit,d)),
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d),
% ld(rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)),
% rd(a,rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)))))) = 
% ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),rd(ld(rd(unit,c),rd(ld(rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% ld(d,
% ld(d,c)),d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c),
% ld(rd(unit,
% rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))),
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% ld(d,
% ld(d,c)),d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c)),
% rd(rd(rd(
% ld(
% rd(unit,c),
% rd(
% ld(c,
% ld(c,d)),c)),
% rd(unit,c)),
% rd(unit,c)),
% rd(unit,
% rd(rd(rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))))),
% ld(rd(unit,d),
% ld(rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% ld(d,
% ld(d,c)),d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c))))),
% rd(unit,c))),
% ld(d,ld(rd(unit,d),rd(c,rd(unit,d))))))
% 
% Current number of equations to process: 2162
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [117]
% ld(ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),ld(rd(unit,rd(ld(C,
% ld(rd(unit,C),
% rd(B,
% rd(unit,C)))),B)),
% rd(A,rd(unit,rd(ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C)))),B))))),
% ld(B,ld(rd(unit,B),ld(rd(rd(C,B),rd(unit,B)),ld(rd(unit,rd(rd(C,B),rd(unit,B))),
% rd(rd(A,rd(unit,B)),rd(unit,
% rd(rd(C,B),
% rd(unit,B)))))))))
% -> B
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [118]
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(C,B),rd(unit,B)),rd(unit,B)),ld(rd(unit,
% rd(
% rd(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B))),
% rd(rd(A,
% rd(unit,B)),
% rd(unit,
% rd(rd(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B)))))))),B)
% <->
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(C,ld(A,unit)),B),rd(unit,B)),ld(rd(unit,
% rd(
% rd(
% rd(C,
% ld(A,unit)),B),
% rd(unit,B))),
% rd(rd(A,
% rd(unit,B)),
% rd(unit,
% rd(rd(
% rd(C,
% ld(A,unit)),B),
% rd(unit,B)))))))),A)
% Current number of equations to process: 2251
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [119]
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(C,ld(A,unit)),B),rd(unit,B)),ld(rd(unit,
% rd(
% rd(
% rd(C,
% ld(A,unit)),B),
% rd(unit,B))),
% rd(rd(A,
% rd(unit,B)),
% rd(unit,
% rd(rd(
% rd(C,
% ld(A,unit)),B),
% rd(unit,B)))))))),A)
% <->
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(C,B),rd(unit,B)),rd(unit,B)),ld(rd(unit,
% rd(
% rd(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B))),
% rd(rd(A,
% rd(unit,B)),
% rd(unit,
% rd(rd(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B)))))))),B)
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [120] ld(rd(rd(A,B),rd(unit,B)),rd(A,ld(B,unit))) -> B
% Current number of equations to process: 2374
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [121] ld(rd(unit,rd(unit,A)),rd(A,ld(A,unit))) -> A
% Current number of equations to process: 2386
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [122] rd(rd(ld(A,rd(B,A)),A),rd(unit,A)) -> rd(ld(A,B),A)
% Current number of equations to process: 2421
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [123] rd(rd(A,rd(unit,A)),rd(unit,rd(unit,A))) -> rd(unit,rd(unit,A))
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [124] ld(rd(unit,rd(unit,A)),rd(A,rd(unit,A))) -> rd(unit,rd(unit,A))
% Current number of equations to process: 2507
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [125] ld(A,rd(ld(ld(B,unit),ld(B,A)),ld(B,unit))) -> B
% Current number of equations to process: 2514
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced : [126] rd(rd(ld(A,ld(rd(unit,A),B)),A),rd(unit,A)) -> B
% Current number of equations to process: 2514
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [127] ld(A,ld(A,ld(rd(unit,A),rd(A,rd(unit,A))))) -> A
% Current number of equations to process: 2607
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [128] ld(A,ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))) -> B
% Rule [127] ld(A,ld(A,ld(rd(unit,A),rd(A,rd(unit,A))))) -> A collapsed.
% Current number of equations to process: 2626
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [129] ld(A,ld(ld(B,unit),ld(B,rd(A,B)))) -> ld(B,unit)
% Current number of equations to process: 2644
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [130] rd(ld(A,ld(rd(unit,A),rd(A,rd(unit,A)))),A) -> A
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [131] rd(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),A) -> B
% Rule [130] rd(ld(A,ld(rd(unit,A),rd(A,rd(unit,A)))),A) -> A collapsed.
% Current number of equations to process: 2699
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [132] ld(A,rd(ld(A,ld(rd(unit,A),A)),ld(A,unit))) -> A
% Current number of equations to process: 2737
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [133] rd(rd(ld(ld(A,unit),ld(A,B)),A),rd(unit,A)) -> B
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [134] ld(A,rd(ld(ld(B,unit),ld(B,A)),B)) -> rd(unit,B)
% Current number of equations to process: 2769
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [135] ld(A,rd(ld(B,ld(rd(unit,B),A)),ld(B,unit))) -> B
% Rule [132] ld(A,rd(ld(A,ld(rd(unit,A),A)),ld(A,unit))) -> A collapsed.
% Current number of equations to process: 2861
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [136] rd(ld(ld(A,unit),ld(A,rd(B,A))),ld(A,unit)) -> B
% Current number of equations to process: 2899
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [137] ld(rd(unit,A),rd(ld(A,unit),rd(unit,A))) -> rd(unit,rd(unit,A))
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [138] rd(ld(A,rd(unit,rd(unit,A))),A) -> ld(A,unit)
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [139] ld(rd(unit,A),ld(A,unit)) -> rd(rd(unit,rd(unit,A)),A)
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [140] ld(ld(A,unit),ld(A,rd(unit,rd(unit,A)))) -> A
% Current number of equations to process: 2951
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [141] rd(ld(A,unit),rd(rd(unit,rd(unit,A)),A)) -> rd(unit,A)
% Current number of equations to process: 3023
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [142] rd(ld(ld(A,unit),ld(A,B)),A) -> rd(ld(A,ld(rd(unit,A),B)),A)
% Rule [133] rd(rd(ld(ld(A,unit),ld(A,B)),A),rd(unit,A)) -> B collapsed.
% Rule [134] ld(A,rd(ld(ld(B,unit),ld(B,A)),B)) -> rd(unit,B) collapsed.
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [143] ld(ld(A,unit),ld(A,B)) -> ld(A,ld(rd(unit,A),B))
% Rule [125] ld(A,rd(ld(ld(B,unit),ld(B,A)),ld(B,unit))) -> B collapsed.
% Rule [129] ld(A,ld(ld(B,unit),ld(B,rd(A,B)))) -> ld(B,unit) collapsed.
% Rule [136] rd(ld(ld(A,unit),ld(A,rd(B,A))),ld(A,unit)) -> B collapsed.
% Rule [140] ld(ld(A,unit),ld(A,rd(unit,rd(unit,A)))) -> A collapsed.
% Rule [142] rd(ld(ld(A,unit),ld(A,B)),A) -> rd(ld(A,ld(rd(unit,A),B)),A)
% collapsed.
% Current number of equations to process: 3083
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [144] ld(A,ld(B,ld(rd(unit,B),rd(A,B)))) -> ld(B,unit)
% Current number of equations to process: 3121
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [145] rd(ld(A,B),ld(A,ld(rd(unit,A),B))) -> ld(A,unit)
% Current number of equations to process: 3121
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [146] rd(ld(A,ld(rd(unit,A),rd(B,A))),ld(A,unit)) -> B
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [147] ld(B,ld(ld(rd(unit,B),rd(A,B)),B)) -> ld(A,unit)
% Current number of equations to process: 3235
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [148] ld(A,ld(A,rd(unit,rd(unit,A)))) -> rd(ld(A,ld(A,unit)),ld(A,unit))
% Current number of equations to process: 3282
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [149] rd(ld(ld(rd(unit,A),rd(B,A)),A),ld(B,unit)) -> A
% Current number of equations to process: 3300
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [150] rd(ld(ld(rd(unit,A),rd(rd(unit,B),A)),A),B) -> A
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [151]
% ld(ld(B,C),ld(rd(unit,ld(B,C)),ld(rd(rd(ld(ld(B,C),C),ld(B,ld(rd(C,B),B))),
% ld(B,C)),ld(rd(unit,rd(rd(ld(ld(B,C),C),
% ld(B,ld(rd(C,B),B))),
% ld(B,C))),rd(rd(A,
% rd(unit,
% ld(B,C))),
% rd(unit,
% rd(rd(
% ld(
% ld(B,C),C),
% ld(B,
% ld(
% rd(C,B),B))),
% ld(B,C))))))))
% ->
% ld(B,ld(rd(unit,B),ld(rd(rd(ld(B,C),B),rd(unit,B)),ld(rd(unit,rd(rd(ld(B,C),B),
% rd(unit,B))),
% rd(rd(A,rd(unit,B)),
% rd(unit,rd(rd(ld(B,C),B),
% rd(unit,B))))))))
% Current number of equations to process: 3376
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [152]
% ld(ld(ld(B,A),ld(ld(B,A),ld(rd(unit,ld(B,A)),rd(C,rd(unit,ld(B,A)))))),
% ld(rd(unit,ld(ld(B,A),ld(ld(B,A),ld(rd(unit,ld(B,A)),rd(C,rd(unit,ld(B,A))))))),
% rd(A,rd(unit,ld(ld(B,A),ld(ld(B,A),ld(rd(unit,ld(B,A)),rd(C,rd(unit,ld(B,A))))))))))
% ->
% ld(C,ld(rd(unit,C),ld(rd(rd(ld(B,A),C),rd(unit,C)),ld(rd(unit,rd(rd(ld(B,A),C),
% rd(unit,C))),
% rd(rd(B,rd(unit,C)),
% rd(unit,rd(rd(ld(B,A),C),
% rd(unit,C))))))))
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [153]
% ld(A,ld(rd(unit,A),rd(rd(ld(C,ld(rd(unit,C),rd(rd(A,B),rd(unit,C)))),rd(A,B)),
% rd(unit,A)))) <->
% rd(ld(C,ld(rd(unit,C),ld(rd(rd(rd(B,C),rd(unit,C)),rd(unit,C)),ld(rd(unit,
% rd(
% rd(
% rd(B,C),
% rd(unit,C)),
% rd(unit,C))),
% rd(rd(
% rd(A,B),
% rd(unit,C)),
% rd(unit,
% rd(rd(
% rd(B,C),
% rd(unit,C)),
% rd(unit,C)))))))),C)
% Current number of equations to process: 3572
% Current number of ordered equations: 2
% Current number of rules: 99
% New rule produced :
% [154]
% rd(ld(rd(A,B),ld(rd(unit,rd(A,B)),ld(rd(rd(rd(C,rd(A,B)),rd(unit,rd(A,B))),
% rd(unit,rd(A,B))),ld(rd(unit,rd(
% rd(
% rd(C,
% rd(A,B)),
% rd(unit,
% rd(A,B))),
% rd(unit,
% rd(A,B)))),
% rd(rd(rd(A,rd(A,B)),
% rd(unit,rd(A,B))),
% rd(unit,rd(rd(
% rd(C,
% rd(A,B)),
% rd(unit,
% rd(A,B))),
% rd(unit,
% rd(A,B))))))))),
% rd(A,B)) ->
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(C,B),rd(unit,B)),rd(unit,B)),ld(rd(unit,
% rd(
% rd(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B))),
% rd(rd(
% rd(A,B),
% rd(unit,B)),
% rd(unit,
% rd(rd(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B)))))))),B)
% Current number of equations to process: 3572
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [155]
% rd(ld(C,ld(rd(unit,C),ld(rd(rd(rd(B,C),rd(unit,C)),rd(unit,C)),ld(rd(unit,
% rd(
% rd(
% rd(B,C),
% rd(unit,C)),
% rd(unit,C))),
% rd(rd(
% rd(A,B),
% rd(unit,C)),
% rd(unit,
% rd(rd(
% rd(B,C),
% rd(unit,C)),
% rd(unit,C)))))))),C)
% <->
% ld(A,ld(rd(unit,A),rd(rd(ld(C,ld(rd(unit,C),rd(rd(A,B),rd(unit,C)))),rd(A,B)),
% rd(unit,A))))
% Current number of equations to process: 3572
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [156] ld(B,ld(rd(unit,B),rd(rd(A,B),rd(unit,B)))) -> A
% Current number of equations to process: 3611
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [157] rd(ld(A,rd(rd(B,A),rd(unit,A))),B) -> ld(A,unit)
% Current number of equations to process: 3958
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [158] rd(ld(rd(unit,A),rd(rd(B,A),rd(unit,A))),B) -> A
% Current number of equations to process: 3958
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [159] ld(A,ld(rd(unit,A),rd(ld(A,B),A))) -> ld(A,rd(B,A))
% Current number of equations to process: 3957
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [160]
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(ld(rd(A,B),C),B),rd(unit,B)),rd(unit,B)),
% ld(rd(unit,rd(rd(rd(ld(rd(A,B),C),B),rd(unit,B)),
% rd(unit,B))),rd(rd(rd(A,B),rd(unit,B)),
% rd(unit,rd(rd(rd(ld(rd(A,B),C),B),
% rd(unit,B)),
% rd(unit,B)))))))),B) ->
% ld(C,ld(rd(unit,C),rd(rd(A,rd(A,B)),rd(unit,C))))
% Current number of equations to process: 4162
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [161]
% ld(rd(unit,B),rd(ld(A,ld(rd(unit,A),rd(rd(unit,B),rd(unit,A)))),rd(unit,B)))
% -> ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [162]
% ld(A,rd(ld(B,rd(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),B)),A)) ->
% ld(B,rd(rd(ld(A,unit),B),rd(unit,B)))
% Current number of equations to process: 4319
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [163]
% ld(ld(C,ld(rd(B,ld(C,unit)),ld(rd(unit,rd(B,ld(C,unit))),rd(A,rd(unit,
% rd(B,ld(C,unit))))))),
% ld(rd(unit,ld(C,ld(rd(B,ld(C,unit)),ld(rd(unit,rd(B,ld(C,unit))),rd(A,
% rd(unit,
% rd(B,
% ld(C,unit)))))))),
% rd(C,rd(unit,ld(C,ld(rd(B,ld(C,unit)),ld(rd(unit,rd(B,ld(C,unit))),rd(A,
% rd(unit,
% rd(B,
% ld(C,unit)))))))))))
% ->
% ld(rd(B,ld(C,unit)),ld(rd(unit,rd(B,ld(C,unit))),rd(A,rd(unit,rd(B,ld(C,unit))))))
% Current number of equations to process: 4391
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [164]
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(C,B),rd(unit,B)),ld(rd(unit,rd(rd(C,B),
% rd(unit,B))),
% rd(rd(A,rd(unit,B)),rd(unit,
% rd(
% rd(C,B),
% rd(unit,B)))))))),
% rd(ld(C,B),ld(C,unit))) -> ld(C,ld(rd(unit,C),rd(A,rd(unit,C))))
% Current number of equations to process: 4454
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [165]
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(C,B),rd(unit,B)),ld(rd(unit,rd(rd(C,B),
% rd(unit,B))),
% rd(rd(A,rd(unit,B)),rd(unit,
% rd(
% rd(C,B),
% rd(unit,B)))))))),C)
% -> ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))
% Current number of equations to process: 4542
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [166]
% rd(rd(ld(rd(ld(B,C),ld(B,unit)),ld(rd(unit,rd(ld(B,C),ld(B,unit))),rd(A,
% rd(unit,
% rd(
% ld(B,C),
% ld(B,unit)))))),B),C)
% -> rd(A,B)
% Current number of equations to process: 4542
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [167] rd(rd(unit,rd(ld(A,B),ld(A,unit))),A) -> rd(rd(unit,A),B)
% Current number of equations to process: 4689
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [168] rd(rd(rd(ld(A,B),A),rd(unit,A)),B) -> rd(unit,A)
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [169] rd(rd(A,rd(ld(B,C),ld(B,unit))),B) -> rd(rd(A,B),C)
% Rule [167] rd(rd(unit,rd(ld(A,B),ld(A,unit))),A) -> rd(rd(unit,A),B)
% collapsed.
% Current number of equations to process: 4767
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [170] ld(ld(rd(unit,A),rd(ld(A,B),A)),B) -> A
% Current number of equations to process: 4821
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [171] rd(rd(ld(A,B),A),rd(B,A)) -> rd(unit,A)
% Rule [72] rd(rd(ld(A,unit),A),rd(unit,A)) -> rd(unit,A) collapsed.
% Current number of equations to process: 4858
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [172] ld(rd(unit,A),rd(rd(ld(A,B),A),rd(unit,A))) -> B
% Current number of equations to process: 4889
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [173] rd(rd(rd(ld(ld(A,unit),B),A),rd(unit,A)),B) -> A
% Current number of equations to process: 4888
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [174] rd(rd(A,ld(B,C)),B) -> rd(rd(A,B),rd(C,B))
% Rule [71] rd(rd(A,ld(B,unit)),B) -> rd(rd(A,B),rd(unit,B)) collapsed.
% Current number of equations to process: 4907
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [175] rd(rd(A,rd(unit,ld(B,C))),B) -> rd(rd(A,B),rd(B,C))
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [176] rd(rd(A,B),C) <-> rd(rd(A,C),ld(rd(unit,C),rd(B,C)))
% Rule
% [67]
% rd(ld(C,ld(B,mult(C,rd(rd(ld(ld(B,unit),rd(rd(ld(ld(C,unit),rd(ld(rd(
% ld(C,
% rd(
% ld(B,C),
% ld(B,unit))),
% ld(C,unit)),
% mult(A,
% rd(ld(C,B),
% ld(C,unit)))),
% ld(C,ld(rd(
% ld(B,C),
% ld(B,unit)),C)))),
% ld(C,ld(rd(unit,C),C))),ld(C,unit))),
% ld(B,ld(rd(unit,B),B))),ld(B,unit))))),C) -> mult(A,B)
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% ld(rd(ld(rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),rd(unit,c))),
% rd(rd(b,rd(unit,c)),rd(unit,rd(rd(rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c),
% ld(rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c))),rd(rd(b,
% rd(unit,c)),
% rd(unit,
% rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c)),
% rd(a,rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c)),ld(rd(unit,rd(
% rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c))),
% rd(rd(b,rd(unit,c)),
% rd(unit,rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c))))),
% ld(b,ld(rd(unit,b),rd(a,rd(unit,b))))),ld(rd(ld(d,ld(rd(unit,d),ld(
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(
% rd(b,
% rd(unit,d)),
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d),
% ld(rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)),
% rd(a,rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)))))) = 
% ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),rd(ld(rd(unit,c),rd(ld(rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(
% rd(unit,c),
% rd(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c))),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% ld(d,
% ld(d,c)),d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(unit,
% rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(
% rd(unit,c),
% rd(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c))),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% ld(d,
% ld(d,c)),d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c)))),
% rd(rd(rd(
% ld(
% rd(unit,c),
% rd(
% ld(c,
% ld(c,d)),c)),
% rd(unit,c)),
% rd(unit,c)),
% rd(unit,
% rd(rd(rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(rd(unit,c),
% rd(ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c))),
% ld(rd(unit,c),
% rd(ld(rd(unit,d),
% ld(rd(
% rd(
% rd(
% ld(
% rd(unit,d),
% rd(
% ld(d,
% ld(d,c)),d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))))))),
% rd(unit,c))),
% ld(d,ld(rd(unit,d),rd(c,rd(unit,d))))))
% 
% Current number of equations to process: 4942
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [177] rd(rd(A,C),ld(rd(unit,C),rd(B,C))) <-> rd(rd(A,B),C)
% Current number of equations to process: 4942
% Current number of ordered equations: 0
% Current number of rules: 119
% Rule [78]
% mult(A,rd(B,ld(A,unit))) ->
% ld(rd(unit,A),rd(rd(ld(rd(unit,A),rd(ld(A,B),A)),rd(unit,A)),rd(unit,A))) is composed into 
% [78]
% mult(A,rd(B,ld(A,unit))) ->
% ld(rd(unit,A),rd(rd(rd(B,A),rd(unit,A)),rd(unit,A)))
% New rule produced : [178] ld(rd(unit,B),rd(ld(B,A),B)) -> rd(A,B)
% Rule [73] ld(rd(unit,A),rd(ld(A,unit),A)) -> rd(unit,A) collapsed.
% Rule [159] ld(A,ld(rd(unit,A),rd(ld(A,B),A))) -> ld(A,rd(B,A)) collapsed.
% Rule [170] ld(ld(rd(unit,A),rd(ld(A,B),A)),B) -> A collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% ld(rd(ld(rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),rd(unit,c))),
% rd(rd(b,rd(unit,c)),rd(unit,rd(rd(rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c),
% ld(rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c))),rd(rd(b,
% rd(unit,c)),
% rd(unit,
% rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c)),
% rd(a,rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c)),ld(rd(unit,rd(
% rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c))),
% rd(rd(b,rd(unit,c)),
% rd(unit,rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c))))),
% ld(b,ld(rd(unit,b),rd(a,rd(unit,b))))),ld(rd(ld(d,ld(rd(unit,d),ld(
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(
% rd(b,
% rd(unit,d)),
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d),
% ld(rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)),
% rd(a,rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)))))) = 
% ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),rd(ld(rd(unit,c),rd(ld(rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(unit,
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% rd(ld(
% rd(unit,c),
% rd(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c)),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))))),
% ld(rd(unit,
% rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(unit,
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% rd(ld(
% rd(unit,c),
% rd(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c)),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c)))))),
% rd(rd(rd(
% rd(
% ld(c,d),c),
% rd(unit,c)),
% rd(unit,c)),
% rd(unit,
% rd(rd(rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(unit,
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% rd(ld(rd(unit,c),
% rd(ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c)),
% ld(rd(unit,c),
% rd(ld(rd(unit,d),
% ld(rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))))))))),
% rd(unit,c))),
% ld(d,ld(rd(unit,d),rd(c,rd(unit,d))))))
% 
% Current number of equations to process: 4982
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [179] rd(rd(A,rd(B,A)),rd(B,rd(B,A))) -> rd(unit,rd(B,A))
% Rule [123] rd(rd(A,rd(unit,A)),rd(unit,rd(unit,A))) -> rd(unit,rd(unit,A))
% collapsed.
% Current number of equations to process: 1238
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [180] rd(rd(ld(ld(A,B),B),A),rd(B,A)) -> rd(unit,ld(A,B))
% Current number of equations to process: 1237
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [181] ld(A,rd(rd(ld(ld(A,unit),B),A),rd(unit,A))) -> B
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [182] rd(rd(rd(unit,A),rd(B,A)),rd(A,B)) -> rd(unit,A)
% Current number of equations to process: 1507
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [183] rd(rd(unit,A),rd(ld(B,A),A)) <-> rd(rd(ld(A,B),A),rd(unit,A))
% Current number of equations to process: 1733
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [184] rd(rd(ld(A,B),A),rd(unit,A)) <-> rd(rd(unit,A),rd(ld(B,A),A))
% The conjecture has been reduced. 
% Conjecture is now:
% ld(rd(ld(rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),rd(unit,c))),
% rd(rd(b,rd(unit,c)),rd(unit,rd(rd(rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c),
% ld(rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c))),rd(rd(b,
% rd(unit,c)),
% rd(unit,
% rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c)),
% rd(a,rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c)),ld(rd(unit,rd(
% rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c))),
% rd(rd(b,rd(unit,c)),
% rd(unit,rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c))))),
% ld(b,ld(rd(unit,b),rd(a,rd(unit,b))))),ld(rd(ld(d,ld(rd(unit,d),ld(
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(
% rd(b,
% rd(unit,d)),
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d),
% ld(rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)),
% rd(a,rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)))))) = 
% ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),rd(ld(rd(unit,c),rd(ld(rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(unit,
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% rd(ld(
% rd(unit,c),
% rd(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c)),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))))),
% ld(rd(unit,
% rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(unit,
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% rd(ld(
% rd(unit,c),
% rd(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c)),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c)))))),
% rd(rd(rd(
% rd(unit,c),
% rd(
% ld(d,c),c)),
% rd(unit,c)),
% rd(unit,
% rd(rd(rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(unit,
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% rd(ld(rd(unit,c),
% rd(ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c)),
% ld(rd(unit,c),
% rd(ld(rd(unit,d),
% ld(rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))))))))),
% rd(unit,c))),
% ld(d,ld(rd(unit,d),rd(c,rd(unit,d))))))
% 
% Current number of equations to process: 1733
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [185] ld(rd(rd(A,B),rd(C,B)),rd(A,ld(B,C))) -> B
% Rule [120] ld(rd(rd(A,B),rd(unit,B)),rd(A,ld(B,unit))) -> B collapsed.
% Current number of equations to process: 1732
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [186] ld(rd(rd(A,B),C),rd(A,C)) -> ld(rd(unit,C),rd(B,C))
% Current number of equations to process: 1855
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [187] rd(unit,ld(rd(unit,A),rd(B,A))) -> rd(rd(A,B),A)
% The conjecture has been reduced. 
% Conjecture is now:
% ld(rd(ld(rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),rd(unit,c))),
% rd(rd(b,rd(unit,c)),rd(unit,rd(rd(rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c),
% ld(rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),rd(unit,c)),
% ld(rd(unit,rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c))),rd(rd(b,
% rd(unit,c)),
% rd(unit,
% rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c)),
% rd(a,rd(unit,rd(ld(c,ld(rd(unit,c),ld(rd(rd(rd(d,c),rd(unit,c)),
% rd(unit,c)),ld(rd(unit,rd(
% rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c))),
% rd(rd(b,rd(unit,c)),
% rd(unit,rd(rd(
% rd(d,c),
% rd(unit,c)),
% rd(unit,c)))))))),c))))),
% ld(b,ld(rd(unit,b),rd(a,rd(unit,b))))),ld(rd(ld(d,ld(rd(unit,d),ld(
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(
% rd(b,
% rd(unit,d)),
% rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d),
% ld(rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)),
% rd(a,rd(unit,rd(ld(d,ld(rd(unit,d),
% ld(rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)),
% ld(rd(unit,
% rd(
% rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d))),
% rd(rd(b,
% rd(unit,d)),
% rd(unit,
% rd(rd(
% rd(c,d),
% rd(unit,d)),
% rd(unit,d)))))))),d)))))) = 
% ld(ld(d,ld(rd(unit,d),rd(c,rd(unit,d)))),rd(ld(rd(unit,c),rd(ld(rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(
% rd(c,
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c),
% rd(ld(
% rd(unit,c),
% rd(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c)),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))))),
% ld(rd(unit,
% rd(rd(
% rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(
% rd(unit,c),
% rd(
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(
% rd(c,
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c),
% rd(ld(
% rd(unit,c),
% rd(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c)),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c)))))),
% rd(rd(rd(
% rd(unit,c),
% rd(
% ld(d,c),c)),
% rd(unit,c)),
% rd(unit,
% rd(rd(rd(
% ld(
% ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c))))),
% ld(b,
% ld(
% rd(unit,b),
% rd(a,
% rd(unit,b))))),c),
% ld(rd(unit,c),
% rd(ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))),
% ld(rd(rd(c,
% ld(
% rd(unit,d),
% ld(
% rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)))),c),
% rd(ld(rd(unit,c),
% rd(ld(
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))),
% ld(
% rd(
% ld(c,
% ld(
% rd(unit,c),
% rd(d,
% rd(unit,c)))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d))))),
% ld(d,
% ld(
% rd(unit,d),
% rd(c,
% rd(unit,d)))))),c)),
% ld(rd(unit,c),
% rd(ld(rd(unit,d),
% ld(rd(
% rd(
% rd(
% rd(
% ld(d,c),d),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d)),
% rd(unit,d))),c))))))))),
% rd(unit,c))),
% ld(d,ld(rd(unit,d),rd(c,rd(unit,d))))))
% 
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [188] ld(rd(unit,rd(A,B)),rd(B,rd(A,B))) -> rd(A,rd(A,B))
% Rule [124] ld(rd(unit,rd(unit,A)),rd(A,rd(unit,A))) -> rd(unit,rd(unit,A))
% collapsed.
% Current number of equations to process: 2041
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [189] ld(A,rd(ld(ld(A,unit),B),ld(A,unit))) -> rd(B,ld(A,unit))
% Current number of equations to process: 2040
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [190] ld(rd(unit,A),rd(rd(unit,A),rd(B,A))) -> rd(A,B)
% Current number of equations to process: 2257
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [191] rd(rd(rd(unit,A),rd(ld(B,A),A)),B) -> rd(unit,A)
% Current number of equations to process: 2268
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [192] ld(rd(rd(A,B),A),unit) -> ld(rd(unit,A),rd(B,A))
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [193] rd(rd(A,rd(B,ld(A,unit))),rd(ld(A,unit),B)) -> A
% Current number of equations to process: 2346
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [194] ld(rd(unit,rd(A,B)),rd(B,ld(B,A))) -> B
% Rule [121] ld(rd(unit,rd(unit,A)),rd(A,ld(A,unit))) -> A collapsed.
% Current number of equations to process: 2586
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [195] ld(rd(A,B),rd(C,B)) <-> ld(rd(unit,B),rd(ld(A,C),B))
% Rule [186] ld(rd(rd(A,B),C),rd(A,C)) -> ld(rd(unit,C),rd(B,C)) collapsed.
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [196] rd(unit,ld(A,rd(B,ld(A,unit)))) -> rd(rd(ld(A,unit),B),ld(A,unit))
% Current number of equations to process: 2859
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [197] rd(unit,ld(rd(unit,ld(A,B)),A)) -> rd(rd(ld(A,B),B),ld(A,B))
% Current number of equations to process: 2859
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [198] rd(rd(rd(A,B),B),rd(A,B)) -> rd(unit,rd(A,rd(A,B)))
% Current number of equations to process: 2935
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [199] ld(A,rd(A,rd(B,ld(A,unit)))) -> rd(ld(A,unit),B)
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [200] ld(rd(A,B),unit) <-> ld(rd(unit,B),rd(ld(A,B),B))
% Rule [56] ld(rd(ld(A,B),ld(A,unit)),unit) -> ld(A,ld(B,A)) collapsed.
% Rule [114] ld(rd(ld(rd(unit,A),B),A),unit) -> ld(rd(unit,A),ld(B,rd(unit,A)))
% collapsed.
% Rule [192] ld(rd(rd(A,B),A),unit) -> ld(rd(unit,A),rd(B,A)) collapsed.
% Current number of equations to process: 3096
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced : [201] ld(rd(unit,B),rd(ld(A,B),B)) <-> ld(rd(A,B),unit)
% Current number of equations to process: 3096
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [202] rd(rd(A,rd(ld(B,ld(A,unit)),ld(A,unit))),B) -> A
% Current number of equations to process: 3167
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [203] ld(A,rd(A,ld(A,B))) -> rd(ld(A,unit),ld(A,rd(B,A)))
% Current number of equations to process: 3824
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [204] rd(rd(ld(A,B),B),ld(rd(A,B),unit)) -> rd(unit,B)
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [205] ld(ld(A,B),ld(B,ld(rd(A,B),unit))) -> ld(B,unit)
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [206] rd(ld(A,ld(rd(B,A),unit)),ld(A,unit)) -> ld(B,A)
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [207] ld(A,ld(ld(rd(B,A),unit),A)) -> ld(B,ld(rd(A,B),B))
% Current number of equations to process: 3989
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [208] rd(rd(A,B),ld(rd(C,B),unit)) <-> rd(rd(A,ld(C,B)),B)
% Rule [204] rd(rd(ld(A,B),B),ld(rd(A,B),unit)) -> rd(unit,B) collapsed.
% Current number of equations to process: 4006
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [209] rd(rd(A,ld(C,B)),B) <-> rd(rd(A,B),ld(rd(C,B),unit))
% Current number of equations to process: 4006
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [210] ld(A,rd(A,rd(unit,ld(A,B)))) -> rd(ld(A,unit),ld(A,rd(A,B)))
% Current number of equations to process: 4008
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [211] rd(ld(A,unit),ld(A,ld(rd(B,A),unit))) -> ld(A,B)
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [212] rd(A,ld(rd(unit,A),ld(B,unit))) -> rd(ld(rd(unit,A),B),A)
% Current number of equations to process: 4887
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [213] ld(ld(A,B),ld(A,unit)) -> ld(A,ld(rd(B,A),unit))
% Current number of equations to process: 4897
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [214] rd(ld(rd(unit,A),A),A) -> rd(A,rd(rd(unit,rd(unit,A)),A))
% Current number of equations to process: 4958
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [215] rd(ld(rd(unit,A),rd(unit,B)),A) -> rd(A,ld(rd(unit,A),B))
% Current number of equations to process: 4965
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [216] ld(rd(ld(rd(unit,A),B),A),A) -> ld(rd(unit,A),ld(B,unit))
% Current number of equations to process: 4965
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [217] rd(ld(A,unit),ld(A,ld(B,unit))) -> rd(ld(A,B),ld(A,unit))
% Rule [211] rd(ld(A,unit),ld(A,ld(rd(B,A),unit))) -> ld(A,B) collapsed.
% Current number of equations to process: 4970
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [218] rd(ld(A,rd(unit,B)),ld(A,unit)) -> rd(ld(A,unit),ld(A,B))
% Current number of equations to process: 1297
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [219] ld(A,ld(rd(unit,A),rd(unit,B))) -> rd(unit,ld(A,ld(rd(unit,A),B)))
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [220] ld(rd(ld(A,B),ld(A,unit)),ld(A,unit)) -> ld(A,ld(B,unit))
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [221] ld(rd(unit,ld(A,B)),ld(A,unit)) -> ld(A,ld(rd(A,B),unit))
% Current number of equations to process: 1571
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [222]
% rd(ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(B,rd(unit,
% rd(C,
% ld(A,unit)))))),A)),C)
% -> ld(A,B)
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [223] ld(A,rd(unit,rd(B,ld(A,unit)))) -> rd(ld(A,rd(unit,A)),B)
% Current number of equations to process: 1707
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [224] ld(A,rd(B,rd(C,ld(A,unit)))) -> rd(ld(A,rd(B,A)),C)
% Rule [199] ld(A,rd(A,rd(B,ld(A,unit)))) -> rd(ld(A,unit),B) collapsed.
% Rule [223] ld(A,rd(unit,rd(B,ld(A,unit)))) -> rd(ld(A,rd(unit,A)),B)
% collapsed.
% Current number of equations to process: 1757
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [225]
% ld(C,rd(ld(A,ld(rd(unit,A),ld(rd(rd(rd(B,ld(C,unit)),A),rd(unit,A)),ld(
% rd(unit,
% rd(
% rd(
% rd(B,
% ld(C,unit)),A),
% rd(unit,A))),
% rd(
% rd(C,
% rd(unit,A)),
% rd(unit,
% rd(
% rd(
% rd(B,
% ld(C,unit)),A),
% rd(unit,A)))))))),C))
% -> ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))
% Current number of equations to process: 1915
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [226] rd(A,rd(ld(ld(B,A),B),ld(B,ld(rd(A,B),B)))) -> ld(B,A)
% Current number of equations to process: 2006
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [227]
% rd(ld(rd(A,B),ld(rd(unit,rd(A,B)),rd(A,rd(unit,rd(A,B))))),rd(B,ld(rd(A,B),unit)))
% -> rd(A,B)
% Current number of equations to process: 2210
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [228]
% rd(ld(rd(unit,B),ld(rd(unit,rd(unit,B)),rd(A,rd(unit,rd(unit,B))))),rd(
% ld(
% rd(unit,B),A),B))
% -> rd(unit,B)
% Current number of equations to process: 2210
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [229]
% ld(rd(A,B),ld(C,rd(ld(A,ld(rd(unit,A),rd(C,rd(unit,A)))),ld(B,ld(rd(unit,B),
% rd(C,rd(unit,B)))))))
% -> ld(C,unit)
% Current number of equations to process: 2416
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [230]
% rd(ld(A,rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(C,ld(rd(unit,C),rd(A,
% rd(unit,C)))))),
% ld(A,unit)) -> rd(B,C)
% Current number of equations to process: 2588
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [231] ld(rd(B,A),ld(rd(B,rd(B,A)),rd(B,A))) -> ld(A,unit)
% Current number of equations to process: 2677
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [232]
% rd(A,ld(ld(B,ld(rd(C,B),B)),ld(ld(B,C),rd(A,ld(B,C))))) ->
% rd(ld(ld(B,C),ld(rd(unit,ld(B,C)),rd(A,rd(unit,ld(B,C))))),A)
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [233]
% rd(ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(B,ld(ld(rd(unit,B),A),B)))
% <-> rd(unit,ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),B))
% Current number of equations to process: 3075
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [234]
% rd(unit,ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),B)) <->
% rd(ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(B,ld(ld(rd(unit,B),A),B)))
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [235]
% ld(rd(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),B),B) ->
% ld(A,rd(A,ld(B,rd(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),B))))
% Rule
% [91]
% rd(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(rd(ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A)))),B),B))
% -> A collapsed.
% Rule
% [108]
% ld(rd(ld(ld(B,C),ld(rd(unit,ld(B,C)),rd(A,rd(unit,ld(B,C))))),A),A) ->
% ld(ld(B,ld(rd(C,B),B)),ld(ld(B,C),rd(A,ld(B,C)))) collapsed.
% Current number of equations to process: 3420
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [236]
% ld(A,ld(B,rd(B,ld(A,rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A))))) ->
% ld(B,unit)
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [237] rd(ld(rd(unit,A),rd(rd(unit,A),B)),A) -> rd(unit,ld(rd(unit,A),B))
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [238]
% ld(A,ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(C,ld(rd(unit,C),rd(A,
% rd(unit,C))))),V_3))
% -> ld(rd(B,C),ld(A,V_3))
% Rule
% [107]
% ld(A,ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(C,ld(rd(unit,C),rd(A,
% rd(unit,C))))),A))
% -> ld(rd(B,C),unit) collapsed.
% Current number of equations to process: 3691
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [239]
% ld(A,ld(B,ld(rd(unit,B),ld(rd(rd(rd(unit,ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),B)),B),
% rd(unit,B)),ld(rd(unit,rd(rd(rd(unit,ld(ld(B,
% ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),B)),B),
% rd(unit,B))),rd(rd(A,
% rd(unit,B)),
% rd(unit,
% rd(rd(
% rd(unit,
% ld(
% ld(B,
% ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),B)),B),
% rd(unit,B)))))))))
% -> ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))
% Current number of equations to process: 3861
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [240]
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(ld(B,C),ld(A,unit)),B),rd(unit,B)),
% ld(rd(unit,rd(rd(rd(ld(B,C),ld(A,unit)),B),rd(unit,B))),
% rd(rd(A,rd(unit,B)),rd(unit,rd(rd(rd(ld(B,C),ld(A,unit)),B),
% rd(unit,B)))))))),A) ->
% ld(C,ld(rd(unit,C),rd(A,rd(unit,C))))
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [241] rd(rd(A,rd(unit,B)),rd(unit,rd(unit,B))) -> rd(rd(A,B),rd(unit,B))
% Current number of equations to process: 4165
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [242]
% rd(rd(ld(B,rd(B,ld(A,rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A)))),B),
% rd(unit,B)) -> rd(A,B)
% Current number of equations to process: 4267
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [243] rd(rd(ld(A,rd(A,B)),A),rd(unit,A)) -> rd(rd(unit,A),rd(B,A))
% Rule
% [242]
% rd(rd(ld(B,rd(B,ld(A,rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A)))),B),
% rd(unit,B)) -> rd(A,B) collapsed.
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [244] ld(rd(unit,rd(unit,rd(unit,A))),rd(rd(unit,A),A)) -> rd(unit,A)
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [245] rd(ld(ld(A,unit),rd(unit,A)),ld(A,unit)) -> ld(A,ld(rd(unit,A),A))
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [246]
% ld(rd(unit,rd(unit,A)),A) -> rd(rd(unit,rd(unit,rd(unit,A))),rd(unit,A))
% Current number of equations to process: 4533
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [247] ld(rd(unit,A),ld(rd(unit,rd(unit,A)),B)) -> ld(A,ld(rd(unit,A),B))
% Rule
% [228]
% rd(ld(rd(unit,B),ld(rd(unit,rd(unit,B)),rd(A,rd(unit,rd(unit,B))))),rd(
% ld(
% rd(unit,B),A),B))
% -> rd(unit,B) collapsed.
% Current number of equations to process: 4572
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [248] ld(ld(rd(A,B),unit),B) -> ld(rd(A,B),ld(rd(unit,rd(A,B)),A))
% Rule [207] ld(A,ld(ld(rd(B,A),unit),A)) -> ld(B,ld(rd(A,B),B)) collapsed.
% Current number of equations to process: 4573
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [249] ld(A,ld(rd(unit,A),rd(A,ld(A,unit)))) -> ld(rd(unit,A),A)
% Current number of equations to process: 4626
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [250] rd(ld(A,rd(ld(A,unit),A)),ld(A,rd(unit,A))) -> ld(A,unit)
% Current number of equations to process: 4761
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [251]
% rd(unit,ld(rd(unit,A),rd(rd(unit,rd(unit,rd(unit,A))),rd(unit,A)))) ->
% ld(A,unit)
% Current number of equations to process: 4811
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [252] rd(ld(rd(unit,rd(unit,A)),rd(unit,A)),ld(A,unit)) -> rd(unit,A)
% Current number of equations to process: 4920
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [253] rd(ld(A,rd(ld(A,B),A)),ld(A,rd(B,A))) -> ld(A,unit)
% Rule [250] rd(ld(A,rd(ld(A,unit),A)),ld(A,rd(unit,A))) -> ld(A,unit)
% collapsed.
% Current number of equations to process: 4959
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [254] rd(rd(A,rd(C,B)),rd(C,rd(C,B))) -> rd(rd(A,B),rd(C,B))
% Rule [179] rd(rd(A,rd(B,A)),rd(B,rd(B,A))) -> rd(unit,rd(B,A)) collapsed.
% Rule [241] rd(rd(A,rd(unit,B)),rd(unit,rd(unit,B))) -> rd(rd(A,B),rd(unit,B))
% collapsed.
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [255] ld(rd(unit,ld(A,B)),rd(ld(ld(A,B),B),A)) -> rd(B,A)
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [256] ld(rd(unit,A),rd(ld(A,B),rd(B,A))) -> rd(B,rd(B,A))
% Rule [137] ld(rd(unit,A),rd(ld(A,unit),rd(unit,A))) -> rd(unit,rd(unit,A))
% collapsed.
% Current number of equations to process: 1292
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [257] rd(ld(rd(A,rd(A,B)),rd(A,B)),ld(B,unit)) -> rd(A,B)
% Rule [252] rd(ld(rd(unit,rd(unit,A)),rd(unit,A)),ld(A,unit)) -> rd(unit,A)
% collapsed.
% Current number of equations to process: 1488
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [258] ld(rd(unit,rd(A,rd(A,B))),rd(rd(A,B),B)) -> rd(A,B)
% Rule [244] ld(rd(unit,rd(unit,rd(unit,A))),rd(rd(unit,A),A)) -> rd(unit,A)
% collapsed.
% Current number of equations to process: 1575
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [259] ld(rd(unit,A),rd(ld(A,B),ld(ld(A,B),B))) -> ld(A,B)
% Current number of equations to process: 1686
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [260] rd(ld(A,rd(unit,rd(unit,rd(unit,A)))),rd(unit,A)) -> ld(A,unit)
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 175
% Rule [58] ld(B,ld(mult(B,A),B)) -> ld(rd(A,ld(B,unit)),unit) is composed into 
% [58] ld(B,ld(mult(B,A),B)) -> ld(B,rd(ld(A,ld(B,unit)),ld(B,unit)))
% New rule produced :
% [261] ld(rd(B,ld(A,unit)),unit) -> ld(A,rd(ld(B,ld(A,unit)),ld(A,unit)))
% Rule [113] ld(rd(A,ld(rd(B,A),unit)),unit) -> ld(rd(B,A),ld(B,rd(B,A)))
% collapsed.
% Rule
% [115]
% rd(ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(rd(B,ld(A,unit)),unit)) ->
% A collapsed.
% Current number of equations to process: 1846
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [262] ld(rd(rd(unit,B),rd(ld(A,B),B)),A) -> rd(ld(A,B),ld(A,unit))
% Current number of equations to process: 1923
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [263] rd(A,rd(ld(A,B),ld(A,unit))) <-> rd(rd(unit,B),rd(ld(A,B),B))
% Current number of equations to process: 1955
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [264] rd(rd(unit,B),rd(ld(A,B),B)) <-> rd(A,rd(ld(A,B),ld(A,unit)))
% Current number of equations to process: 1955
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [265] rd(B,rd(ld(B,A),ld(B,unit))) <-> rd(rd(ld(A,B),A),rd(unit,A))
% Current number of equations to process: 2291
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [266] rd(rd(ld(A,B),A),rd(unit,A)) <-> rd(B,rd(ld(B,A),ld(B,unit)))
% Current number of equations to process: 2291
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [267] ld(rd(unit,A),rd(B,rd(ld(B,A),ld(B,unit)))) -> B
% Current number of equations to process: 2290
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [268] ld(A,rd(B,rd(ld(B,ld(A,unit)),ld(B,unit)))) -> B
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [269] ld(rd(unit,rd(A,B)),rd(A,rd(unit,ld(A,B)))) -> A
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [270] ld(rd(rd(ld(B,A),B),rd(unit,B)),A) -> rd(ld(A,B),ld(A,unit))
% Current number of equations to process: 2904
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [271] ld(rd(rd(unit,B),rd(A,B)),rd(B,A)) -> rd(A,ld(rd(B,A),unit))
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [272] ld(A,rd(rd(unit,B),rd(ld(A,B),B))) -> rd(ld(A,unit),ld(A,B))
% Current number of equations to process: 3157
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [273] ld(A,rd(rd(ld(B,A),B),rd(unit,B))) -> rd(ld(A,unit),ld(A,B))
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [274] ld(rd(A,B),rd(rd(unit,A),rd(B,A))) -> rd(ld(rd(A,B),unit),B)
% Current number of equations to process: 3389
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [275] rd(unit,ld(A,ld(rd(unit,A),ld(B,unit)))) -> ld(A,ld(rd(unit,A),B))
% Current number of equations to process: 3556
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [276] ld(rd(B,A),ld(rd(B,rd(B,A)),unit)) -> ld(A,ld(rd(B,A),unit))
% Current number of equations to process: 3676
% Current number of ordered equations: 1
% Current number of rules: 189
% Rule [234]
% rd(unit,ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),B)) <->
% rd(ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(B,ld(ld(rd(unit,B),A),B))) is composed into 
% [234]
% rd(unit,ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),B)) <->
% rd(ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(B,ld(rd(unit,B),ld(
% rd(A,
% rd(unit,B)),unit))))
% New rule produced :
% [277] ld(ld(rd(unit,A),B),A) -> ld(rd(unit,A),ld(rd(B,rd(unit,A)),unit))
% Rule [147] ld(B,ld(ld(rd(unit,B),rd(A,B)),B)) -> ld(A,unit) collapsed.
% Rule [149] rd(ld(ld(rd(unit,A),rd(B,A)),A),ld(B,unit)) -> A collapsed.
% Rule [150] rd(ld(ld(rd(unit,A),rd(rd(unit,B),A)),A),B) -> A collapsed.
% Rule
% [233]
% rd(ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(B,ld(ld(rd(unit,B),A),B)))
% <-> rd(unit,ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),B)) collapsed.
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 186
% Rule [245] rd(ld(ld(A,unit),rd(unit,A)),ld(A,unit)) -> ld(A,ld(rd(unit,A),A)) is composed into 
% [245]
% rd(ld(ld(A,unit),rd(unit,A)),ld(A,unit)) ->
% rd(unit,ld(A,rd(rd(unit,rd(unit,A)),A)))
% New rule produced :
% [278] ld(A,ld(rd(unit,A),A)) -> rd(unit,ld(A,rd(rd(unit,rd(unit,A)),A)))
% Rule [85] ld(A,ld(A,ld(rd(unit,A),A))) -> rd(rd(unit,A),ld(A,unit))
% collapsed.
% Current number of equations to process: 3847
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [279] rd(rd(A,rd(ld(B,unit),ld(B,C))),B) -> rd(rd(A,B),rd(unit,C))
% Current number of equations to process: 3884
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [280] ld(rd(ld(A,unit),ld(A,B)),ld(A,rd(unit,B))) -> ld(A,unit)
% Current number of equations to process: 4014
% Current number of ordered equations: 0
% Current number of rules: 188
% Rule [261] ld(rd(B,ld(A,unit)),unit) -> ld(A,rd(ld(B,ld(A,unit)),ld(A,unit))) is composed into 
% [261]
% ld(rd(B,ld(A,unit)),unit) ->
% rd(ld(A,rd(ld(B,ld(A,unit)),A)),ld(A,rd(unit,A)))
% Rule [58] ld(B,ld(mult(B,A),B)) -> ld(B,rd(ld(A,ld(B,unit)),ld(B,unit))) is composed into 
% [58]
% ld(B,ld(mult(B,A),B)) -> rd(ld(B,rd(ld(A,ld(B,unit)),B)),ld(B,rd(unit,B)))
% New rule produced :
% [281] ld(A,rd(B,ld(A,C))) -> rd(ld(A,rd(B,A)),ld(A,rd(C,A)))
% Rule [189] ld(A,rd(ld(ld(A,unit),B),ld(A,unit))) -> rd(B,ld(A,unit))
% collapsed.
% Rule [196] rd(unit,ld(A,rd(B,ld(A,unit)))) -> rd(rd(ld(A,unit),B),ld(A,unit))
% collapsed.
% Rule [203] ld(A,rd(A,ld(A,B))) -> rd(ld(A,unit),ld(A,rd(B,A))) collapsed.
% Current number of equations to process: 4109
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [282] rd(ld(A,rd(ld(ld(A,unit),B),A)),B) -> rd(B,rd(B,ld(A,unit)))
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [283]
% rd(ld(ld(A,unit),rd(unit,rd(unit,A))),A) ->
% rd(unit,ld(A,rd(rd(unit,rd(unit,A)),A)))
% Current number of equations to process: 4426
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [284] rd(rd(A,B),rd(B,ld(rd(A,B),unit))) -> rd(rd(unit,A),rd(B,A))
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [285] rd(A,rd(unit,ld(A,B))) -> rd(rd(B,rd(A,B)),rd(unit,rd(A,B)))
% Rule
% [163]
% ld(ld(C,ld(rd(B,ld(C,unit)),ld(rd(unit,rd(B,ld(C,unit))),rd(A,rd(unit,
% rd(B,ld(C,unit))))))),
% ld(rd(unit,ld(C,ld(rd(B,ld(C,unit)),ld(rd(unit,rd(B,ld(C,unit))),rd(A,
% rd(unit,
% rd(B,
% ld(C,unit)))))))),
% rd(C,rd(unit,ld(C,ld(rd(B,ld(C,unit)),ld(rd(unit,rd(B,ld(C,unit))),rd(A,
% rd(unit,
% rd(B,
% ld(C,unit)))))))))))
% ->
% ld(rd(B,ld(C,unit)),ld(rd(unit,rd(B,ld(C,unit))),rd(A,rd(unit,rd(B,ld(C,unit))))))
% collapsed.
% Rule [210] ld(A,rd(A,rd(unit,ld(A,B)))) -> rd(ld(A,unit),ld(A,rd(A,B)))
% collapsed.
% Rule [269] ld(rd(unit,rd(A,B)),rd(A,rd(unit,ld(A,B)))) -> A collapsed.
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [286] ld(rd(unit,A),rd(rd(ld(A,unit),A),rd(B,A))) -> rd(unit,B)
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [287] rd(unit,rd(unit,ld(A,rd(rd(unit,rd(unit,A)),A)))) -> ld(A,unit)
% Current number of equations to process: 4832
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [288] rd(rd(rd(ld(A,unit),A),rd(B,A)),rd(unit,B)) -> rd(unit,A)
% Current number of equations to process: 4909
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [289] rd(rd(rd(ld(A,unit),A),rd(ld(B,unit),A)),B) -> rd(unit,A)
% Current number of equations to process: 1223
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [290]
% ld(rd(ld(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),ld(rd(unit,ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A))))),
% rd(rd(ld(rd(unit,A),rd(B,
% rd(unit,A))),
% rd(A,ld(rd(unit,A),
% rd(B,rd(unit,A))))),
% rd(unit,rd(A,ld(rd(unit,A),
% rd(B,rd(unit,A)))))))),
% ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))),ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))))
% -> rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A)
% Current number of equations to process: 1289
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [291]
% ld(rd(ld(C,ld(rd(unit,C),ld(rd(rd(rd(ld(B,ld(A,unit)),C),rd(unit,C)),
% rd(unit,C)),ld(rd(unit,rd(rd(rd(ld(B,ld(A,unit)),C),
% rd(unit,C)),rd(unit,C))),
% rd(rd(B,rd(unit,C)),rd(unit,rd(
% rd(
% rd(
% ld(B,
% ld(A,unit)),C),
% rd(unit,C)),
% rd(unit,C)))))))),C),
% ld(rd(unit,rd(ld(C,ld(rd(unit,C),ld(rd(rd(rd(ld(B,ld(A,unit)),C),rd(unit,C)),
% rd(unit,C)),ld(rd(unit,rd(rd(rd(ld(B,
% ld(A,unit)),C),
% rd(unit,C)),
% rd(unit,C))),
% rd(rd(B,rd(unit,C)),rd(unit,
% rd(
% rd(
% rd(
% ld(B,
% ld(A,unit)),C),
% rd(unit,C)),
% rd(unit,C)))))))),C)),
% rd(A,rd(unit,rd(ld(C,ld(rd(unit,C),ld(rd(rd(rd(ld(B,ld(A,unit)),C),rd(unit,C)),
% rd(unit,C)),ld(rd(unit,rd(rd(rd(
% ld(B,
% ld(A,unit)),C),
% rd(unit,C)),
% rd(unit,C))),
% rd(rd(B,rd(unit,C)),
% rd(unit,rd(rd(rd(ld(B,
% ld(A,unit)),C),
% rd(unit,C)),
% rd(unit,C)))))))),C)))))
% ->
% rd(ld(rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B),ld(rd(unit,rd(ld(C,
% ld(rd(unit,C),
% rd(B,
% rd(unit,C)))),B)),
% rd(A,rd(unit,rd(ld(C,
% ld(
% rd(unit,C),
% rd(B,
% rd(unit,C)))),B))))),A)
% Current number of equations to process: 1435
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [292]
% ld(ld(A,ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,rd(rd(
% ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,
% rd(rd(
% ld(A,C),A),
% rd(unit,A)))))))),
% ld(rd(unit,ld(A,ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,
% rd(rd(
% ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),
% rd(unit,
% rd(rd(ld(A,C),A),
% rd(unit,A))))))))),
% rd(rd(ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,rd(rd(
% ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,
% rd(rd(
% ld(A,C),A),
% rd(unit,A))))))),
% rd(A,ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,rd(rd(
% ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,
% rd(rd(
% ld(A,C),A),
% rd(unit,A))))))))),
% rd(unit,rd(A,ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,
% rd(rd(ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),
% rd(unit,rd(
% rd(
% ld(A,C),A),
% rd(unit,A))))))))))))
% ->
% ld(C,ld(rd(unit,C),rd(rd(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),A),
% rd(unit,C))))
% Current number of equations to process: 1435
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [293]
% ld(ld(A,ld(rd(unit,A),ld(rd(rd(C,A),rd(unit,A)),ld(rd(unit,rd(rd(C,A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,rd(
% rd(C,A),
% rd(unit,A)))))))),
% ld(rd(unit,ld(A,ld(rd(unit,A),ld(rd(rd(C,A),rd(unit,A)),ld(rd(unit,rd(
% rd(C,A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,
% rd(
% rd(C,A),
% rd(unit,A))))))))),
% rd(rd(ld(rd(unit,A),ld(rd(rd(C,A),rd(unit,A)),ld(rd(unit,rd(rd(C,A),rd(unit,A))),
% rd(rd(B,A),rd(unit,rd(rd(C,A),
% rd(unit,A))))))),
% rd(A,ld(rd(unit,A),ld(rd(rd(C,A),rd(unit,A)),ld(rd(unit,rd(rd(C,A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,rd(
% rd(C,A),
% rd(unit,A))))))))),
% rd(unit,rd(A,ld(rd(unit,A),ld(rd(rd(C,A),rd(unit,A)),ld(rd(unit,rd(rd(C,A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,
% rd(rd(C,A),
% rd(unit,A))))))))))))
% ->
% rd(ld(A,ld(rd(unit,A),ld(rd(rd(rd(C,A),rd(unit,A)),rd(unit,A)),ld(rd(unit,
% rd(
% rd(
% rd(C,A),
% rd(unit,A)),
% rd(unit,A))),
% rd(rd(
% rd(
% rd(
% ld(B,
% ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A),A),
% rd(unit,A)),
% rd(unit,
% rd(rd(
% rd(C,A),
% rd(unit,A)),
% rd(unit,A)))))))),A)
% Rule
% [292]
% ld(ld(A,ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,rd(rd(
% ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,
% rd(rd(
% ld(A,C),A),
% rd(unit,A)))))))),
% ld(rd(unit,ld(A,ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,
% rd(rd(
% ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),
% rd(unit,
% rd(rd(ld(A,C),A),
% rd(unit,A))))))))),
% rd(rd(ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,rd(rd(
% ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,
% rd(rd(
% ld(A,C),A),
% rd(unit,A))))))),
% rd(A,ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,rd(rd(
% ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),rd(unit,
% rd(rd(
% ld(A,C),A),
% rd(unit,A))))))))),
% rd(unit,rd(A,ld(rd(unit,A),ld(rd(rd(ld(A,C),A),rd(unit,A)),ld(rd(unit,
% rd(rd(ld(A,C),A),
% rd(unit,A))),
% rd(rd(B,A),
% rd(unit,rd(
% rd(
% ld(A,C),A),
% rd(unit,A))))))))))))
% ->
% ld(C,ld(rd(unit,C),rd(rd(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),A),
% rd(unit,C)))) collapsed.
% Current number of equations to process: 1894
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [294]
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(B,ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A),
% rd(unit,rd(C,
% ld(A,unit)))))),A))
% <->
% ld(C,ld(rd(unit,C),ld(rd(rd(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),C),rd(unit,C)),
% ld(rd(unit,rd(rd(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),C),
% rd(unit,C))),rd(rd(B,rd(unit,C)),rd(unit,
% rd(rd(
% ld(C,
% ld(A,
% rd(
% rd(C,A),
% rd(unit,A)))),C),
% rd(unit,C))))))))
% Current number of equations to process: 2296
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [295]
% ld(C,ld(rd(unit,C),ld(rd(rd(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),C),rd(unit,C)),
% ld(rd(unit,rd(rd(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),C),
% rd(unit,C))),rd(rd(B,rd(unit,C)),rd(unit,
% rd(rd(
% ld(C,
% ld(A,
% rd(
% rd(C,A),
% rd(unit,A)))),C),
% rd(unit,C))))))))
% <->
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(B,ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A),
% rd(unit,rd(C,
% ld(A,unit)))))),A))
% Current number of equations to process: 2296
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [296]
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(rd(B,C),
% ld(rd(unit,
% rd(B,C)),
% rd(A,rd(unit,
% rd(B,C))))),A),
% rd(unit,rd(C,
% ld(A,unit)))))),A))
% <->
% ld(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),ld(rd(unit,ld(C,ld(A,rd(rd(C,A),
% rd(unit,A))))),
% rd(B,rd(unit,ld(C,ld(A,rd(rd(C,A),
% rd(unit,A))))))))
% Current number of equations to process: 2619
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [297]
% ld(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),ld(rd(unit,ld(C,ld(A,rd(rd(C,A),
% rd(unit,A))))),
% rd(B,rd(unit,ld(C,ld(A,rd(rd(C,A),
% rd(unit,A))))))))
% <->
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(rd(B,C),
% ld(rd(unit,
% rd(B,C)),
% rd(A,rd(unit,
% rd(B,C))))),A),
% rd(unit,rd(C,
% ld(A,unit)))))),A))
% Current number of equations to process: 2619
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [298]
% ld(ld(B,ld(rd(unit,B),rd(A,B))),ld(rd(unit,ld(B,ld(rd(unit,B),rd(A,B)))),
% rd(rd(C,A),rd(unit,ld(B,ld(rd(unit,B),
% rd(A,B))))))) <->
% ld(ld(B,rd(ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(B,rd(unit,ld(A,C))))),B)),
% ld(rd(unit,ld(B,rd(ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(B,rd(unit,ld(A,C))))),B))),
% rd(A,rd(unit,ld(B,rd(ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(B,rd(unit,ld(A,C))))),B))))))
% Current number of equations to process: 2969
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [299]
% ld(ld(B,rd(ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(B,rd(unit,ld(A,C))))),B)),
% ld(rd(unit,ld(B,rd(ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(B,rd(unit,ld(A,C))))),B))),
% rd(A,rd(unit,ld(B,rd(ld(ld(A,C),ld(rd(unit,ld(A,C)),rd(B,rd(unit,ld(A,C))))),B))))))
% <->
% ld(ld(B,ld(rd(unit,B),rd(A,B))),ld(rd(unit,ld(B,ld(rd(unit,B),rd(A,B)))),
% rd(rd(C,A),rd(unit,ld(B,ld(rd(unit,B),
% rd(A,B)))))))
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [300]
% ld(C,rd(ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(rd(unit,rd(
% ld(B,
% ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A)),
% rd(C,rd(unit,rd(
% ld(B,
% ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A))))),C))
% <->
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(ld(A,ld(C,unit)),B),rd(unit,B)),rd(unit,B)),
% ld(rd(unit,rd(rd(rd(ld(A,ld(C,unit)),B),rd(unit,B)),
% rd(unit,B))),rd(rd(A,rd(unit,B)),rd(unit,
% rd(
% rd(
% rd(
% ld(A,
% ld(C,unit)),B),
% rd(unit,B)),
% rd(unit,B)))))))),B)
% Current number of equations to process: 3386
% Current number of ordered equations: 2
% Current number of rules: 201
% New rule produced :
% [301]
% rd(ld(B,ld(rd(unit,B),ld(rd(rd(rd(ld(A,ld(C,unit)),B),rd(unit,B)),rd(unit,B)),
% ld(rd(unit,rd(rd(rd(ld(A,ld(C,unit)),B),rd(unit,B)),
% rd(unit,B))),rd(rd(A,rd(unit,B)),rd(unit,
% rd(
% rd(
% rd(
% ld(A,
% ld(C,unit)),B),
% rd(unit,B)),
% rd(unit,B)))))))),B)
% <->
% ld(C,rd(ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(rd(unit,rd(
% ld(B,
% ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A)),
% rd(C,rd(unit,rd(
% ld(B,
% ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A))))),C))
% Current number of equations to process: 3386
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [302]
% ld(ld(A,rd(rd(ld(B,C),A),rd(unit,A))),ld(rd(unit,ld(A,rd(rd(ld(B,C),A),
% rd(unit,A)))),rd(B,
% rd(unit,
% ld(A,
% rd(
% rd(
% ld(B,C),A),
% rd(unit,A)))))))
% ->
% ld(C,ld(rd(unit,C),rd(rd(ld(A,rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A)),B),
% rd(unit,C))))
% Current number of equations to process: 3386
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [303]
% ld(B,ld(rd(unit,B),ld(rd(rd(C,B),rd(unit,B)),ld(rd(unit,rd(rd(C,B),rd(unit,B))),
% ld(rd(rd(rd(rd(ld(C,ld(C,
% ld(rd(unit,C),
% rd(A,
% rd(unit,C))))),B),
% rd(unit,B)),ld(
% rd(unit,
% rd(unit,B)),
% rd(
% ld(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B)))),
% rd(rd(C,B),rd(unit,B))),
% ld(rd(unit,rd(rd(rd(rd(ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(A,
% rd(unit,C))))),B),
% rd(unit,B)),
% ld(rd(unit,
% rd(unit,B)),
% rd(ld(rd(C,B),
% rd(unit,B)),
% rd(unit,B)))),
% rd(rd(C,B),rd(unit,B)))),
% rd(rd(rd(A,rd(unit,B)),rd(unit,
% rd(
% rd(C,B),
% rd(unit,B)))),
% rd(unit,rd(rd(rd(rd(ld(C,
% ld(C,
% ld(rd(unit,C),
% rd(A,
% rd(unit,C))))),B),
% rd(unit,B)),
% ld(rd(unit,rd(unit,B)),
% rd(ld(rd(C,B),
% rd(unit,B)),
% rd(unit,B)))),
% rd(rd(C,B),rd(unit,B)))))))))))
% <->
% ld(rd(B,ld(A,unit)),ld(rd(unit,rd(B,ld(A,unit))),ld(rd(rd(C,rd(ld(A,rd(
% ld(B,
% ld(A,unit)),A)),
% ld(A,rd(unit,A)))),
% rd(B,ld(A,unit))),
% ld(rd(unit,rd(rd(C,rd(
% ld(A,
% rd(
% ld(B,
% ld(A,unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(B,ld(A,unit)))),
% rd(rd(A,rd(unit,rd(B,
% ld(A,unit)))),
% rd(unit,rd(rd(C,rd(ld(A,
% rd(
% ld(B,
% ld(A,unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(B,ld(A,unit)))))))))
% Current number of equations to process: 3958
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [304]
% ld(rd(B,ld(A,unit)),ld(rd(unit,rd(B,ld(A,unit))),ld(rd(rd(C,rd(ld(A,rd(
% ld(B,
% ld(A,unit)),A)),
% ld(A,rd(unit,A)))),
% rd(B,ld(A,unit))),
% ld(rd(unit,rd(rd(C,rd(
% ld(A,
% rd(
% ld(B,
% ld(A,unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(B,ld(A,unit)))),
% rd(rd(A,rd(unit,rd(B,
% ld(A,unit)))),
% rd(unit,rd(rd(C,rd(ld(A,
% rd(
% ld(B,
% ld(A,unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(B,ld(A,unit)))))))))
% <->
% ld(B,ld(rd(unit,B),ld(rd(rd(C,B),rd(unit,B)),ld(rd(unit,rd(rd(C,B),rd(unit,B))),
% ld(rd(rd(rd(rd(ld(C,ld(C,
% ld(rd(unit,C),
% rd(A,
% rd(unit,C))))),B),
% rd(unit,B)),ld(
% rd(unit,
% rd(unit,B)),
% rd(
% ld(
% rd(C,B),
% rd(unit,B)),
% rd(unit,B)))),
% rd(rd(C,B),rd(unit,B))),
% ld(rd(unit,rd(rd(rd(rd(ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(A,
% rd(unit,C))))),B),
% rd(unit,B)),
% ld(rd(unit,
% rd(unit,B)),
% rd(ld(rd(C,B),
% rd(unit,B)),
% rd(unit,B)))),
% rd(rd(C,B),rd(unit,B)))),
% rd(rd(rd(A,rd(unit,B)),rd(unit,
% rd(
% rd(C,B),
% rd(unit,B)))),
% rd(unit,rd(rd(rd(rd(ld(C,
% ld(C,
% ld(rd(unit,C),
% rd(A,
% rd(unit,C))))),B),
% rd(unit,B)),
% ld(rd(unit,rd(unit,B)),
% rd(ld(rd(C,B),
% rd(unit,B)),
% rd(unit,B)))),
% rd(rd(C,B),rd(unit,B)))))))))))
% Current number of equations to process: 3958
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [305]
% ld(B,rd(ld(rd(rd(ld(ld(B,A),B),ld(B,ld(rd(A,B),B))),ld(B,unit)),ld(rd(unit,
% rd(
% rd(
% ld(
% ld(B,A),B),
% ld(B,
% ld(
% rd(A,B),B))),
% ld(B,unit))),
% rd(A,
% rd(unit,
% rd(rd(
% ld(
% ld(B,A),B),
% ld(B,
% ld(
% rd(A,B),B))),
% ld(B,unit)))))),B))
% -> A
% Current number of equations to process: 4328
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [306]
% ld(rd(ld(B,ld(C,ld(rd(unit,C),rd(A,rd(unit,C))))),ld(B,unit)),ld(rd(unit,
% rd(ld(B,
% ld(C,
% ld(
% rd(unit,C),
% rd(A,
% rd(unit,C))))),
% ld(B,unit))),
% rd(B,rd(unit,
% rd(
% ld(B,
% ld(C,
% ld(
% rd(unit,C),
% rd(A,
% rd(unit,C))))),
% ld(B,unit))))))
% <->
% ld(B,ld(rd(unit,B),ld(rd(rd(ld(B,ld(B,ld(rd(unit,B),rd(C,rd(unit,B))))),B),
% rd(unit,B)),ld(rd(unit,rd(rd(ld(B,ld(B,ld(rd(unit,B),
% rd(C,rd(unit,B))))),B),
% rd(unit,B))),rd(rd(A,rd(unit,B)),
% rd(unit,rd(
% rd(
% ld(B,
% ld(B,
% ld(
% rd(unit,B),
% rd(C,
% rd(unit,B))))),B),
% rd(unit,B))))))))
% Current number of equations to process: 4456
% Current number of ordered equations: 3
% Current number of rules: 207
% New rule produced :
% [307]
% ld(B,ld(rd(unit,B),ld(rd(rd(ld(B,ld(B,ld(rd(unit,B),rd(C,rd(unit,B))))),B),
% rd(unit,B)),ld(rd(unit,rd(rd(ld(B,ld(B,ld(rd(unit,B),
% rd(C,rd(unit,B))))),B),
% rd(unit,B))),rd(rd(A,rd(unit,B)),
% rd(unit,rd(
% rd(
% ld(B,
% ld(B,
% ld(
% rd(unit,B),
% rd(C,
% rd(unit,B))))),B),
% rd(unit,B))))))))
% <->
% ld(rd(ld(B,ld(C,ld(rd(unit,C),rd(A,rd(unit,C))))),ld(B,unit)),ld(rd(unit,
% rd(ld(B,
% ld(C,
% ld(
% rd(unit,C),
% rd(A,
% rd(unit,C))))),
% ld(B,unit))),
% rd(B,rd(unit,
% rd(
% ld(B,
% ld(C,
% ld(
% rd(unit,C),
% rd(A,
% rd(unit,C))))),
% ld(B,unit))))))
% Current number of equations to process: 4456
% Current number of ordered equations: 2
% Current number of rules: 208
% New rule produced :
% [308]
% ld(C,ld(rd(unit,C),ld(rd(rd(ld(C,ld(C,ld(rd(unit,C),rd(A,rd(unit,C))))),C),
% rd(unit,C)),ld(rd(unit,rd(rd(ld(C,ld(C,ld(rd(unit,C),
% rd(A,rd(unit,C))))),C),
% rd(unit,C))),rd(rd(B,rd(unit,C)),
% rd(unit,rd(
% rd(
% ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(A,
% rd(unit,C))))),C),
% rd(unit,C))))))))
% <->
% ld(rd(ld(A,B),ld(A,unit)),ld(rd(unit,rd(ld(A,B),ld(A,unit))),ld(rd(rd(C,
% rd(
% ld(A,
% rd(
% ld(A,
% ld(
% rd(B,A),unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(ld(A,B),
% ld(A,unit))),
% ld(rd(unit,
% rd(rd(C,
% rd(
% ld(A,
% rd(
% ld(A,
% ld(
% rd(B,A),unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(ld(A,B),
% ld(A,unit)))),
% rd(rd(A,
% rd(unit,
% rd(ld(A,B),
% ld(A,unit)))),
% rd(unit,
% rd(rd(C,
% rd(ld(A,
% rd(
% ld(A,
% ld(
% rd(B,A),unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(ld(A,B),
% ld(A,unit)))))))))
% Current number of equations to process: 4456
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [309]
% ld(rd(ld(A,B),ld(A,unit)),ld(rd(unit,rd(ld(A,B),ld(A,unit))),ld(rd(rd(C,
% rd(
% ld(A,
% rd(
% ld(A,
% ld(
% rd(B,A),unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(ld(A,B),
% ld(A,unit))),
% ld(rd(unit,
% rd(rd(C,
% rd(
% ld(A,
% rd(
% ld(A,
% ld(
% rd(B,A),unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(ld(A,B),
% ld(A,unit)))),
% rd(rd(A,
% rd(unit,
% rd(ld(A,B),
% ld(A,unit)))),
% rd(unit,
% rd(rd(C,
% rd(ld(A,
% rd(
% ld(A,
% ld(
% rd(B,A),unit)),A)),
% ld(A,
% rd(unit,A)))),
% rd(ld(A,B),
% ld(A,unit)))))))))
% <->
% ld(C,ld(rd(unit,C),ld(rd(rd(ld(C,ld(C,ld(rd(unit,C),rd(A,rd(unit,C))))),C),
% rd(unit,C)),ld(rd(unit,rd(rd(ld(C,ld(C,ld(rd(unit,C),
% rd(A,rd(unit,C))))),C),
% rd(unit,C))),rd(rd(B,rd(unit,C)),
% rd(unit,rd(
% rd(
% ld(C,
% ld(C,
% ld(
% rd(unit,C),
% rd(A,
% rd(unit,C))))),C),
% rd(unit,C))))))))
% Current number of equations to process: 4456
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [310]
% ld(A,rd(ld(rd(ld(B,A),ld(B,unit)),ld(rd(unit,rd(ld(B,A),ld(B,unit))),
% rd(B,rd(unit,rd(ld(B,A),ld(B,unit)))))),A))
% -> ld(A,ld(rd(unit,A),rd(B,A)))
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [311]
% ld(A,rd(ld(C,ld(rd(unit,C),ld(rd(rd(rd(ld(B,A),C),rd(unit,C)),rd(unit,C)),
% ld(rd(unit,rd(rd(rd(ld(B,A),C),rd(unit,C)),
% rd(unit,C))),rd(rd(B,rd(unit,C)),
% rd(unit,rd(rd(rd(ld(B,A),C),
% rd(unit,C)),
% rd(unit,C)))))))),C))
% -> rd(ld(A,rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B)),ld(A,unit))
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [312]
% ld(A,ld(C,ld(rd(unit,C),ld(rd(rd(ld(B,A),C),rd(unit,C)),ld(rd(unit,rd(
% rd(
% ld(B,A),C),
% rd(unit,C))),
% rd(rd(B,rd(unit,C)),
% rd(unit,rd(rd(
% ld(B,A),C),
% rd(unit,C)))))))))
% -> rd(ld(ld(B,A),C),ld(B,ld(rd(A,B),B)))
% Current number of equations to process: 1290
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [313]
% rd(ld(rd(ld(C,ld(rd(B,C),A)),ld(C,unit)),ld(rd(unit,rd(ld(C,ld(rd(B,C),A)),
% ld(C,unit))),rd(B,
% rd(unit,
% rd(ld(C,
% ld(
% rd(B,C),A)),
% ld(C,unit)))))),C)
% -> A
% Current number of equations to process: 1583
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [314] rd(ld(A,B),ld(A,ld(rd(C,A),B))) -> ld(A,C)
% Rule [145] rd(ld(A,B),ld(A,ld(rd(unit,A),B))) -> ld(A,unit) collapsed.
% Current number of equations to process: 1597
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [315] ld(ld(A,B),ld(A,C)) -> ld(A,ld(rd(B,A),C))
% Rule [25] ld(ld(A,B),ld(A,rd(B,A))) -> ld(A,unit) collapsed.
% Rule [98] ld(ld(ld(A,B),B),ld(ld(A,B),A)) -> ld(A,ld(rd(B,A),A)) collapsed.
% Rule [143] ld(ld(A,unit),ld(A,B)) -> ld(A,ld(rd(unit,A),B)) collapsed.
% Rule [213] ld(ld(A,B),ld(A,unit)) -> ld(A,ld(rd(B,A),unit)) collapsed.
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [316] ld(B,ld(ld(rd(unit,B),rd(A,B)),C)) -> ld(A,ld(B,C))
% Current number of equations to process: 2374
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [317] ld(A,ld(ld(rd(B,A),unit),C)) -> ld(ld(B,A),ld(A,C))
% Current number of equations to process: 2461
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [318] ld(rd(ld(A,B),ld(A,unit)),ld(A,C)) -> ld(A,ld(B,C))
% Rule [220] ld(rd(ld(A,B),ld(A,unit)),ld(A,unit)) -> ld(A,ld(B,unit))
% collapsed.
% Current number of equations to process: 2646
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [319] rd(ld(A,B),ld(A,ld(C,B))) -> rd(ld(A,C),ld(A,unit))
% Rule [217] rd(ld(A,unit),ld(A,ld(B,unit))) -> rd(ld(A,B),ld(A,unit))
% collapsed.
% Rule [314] rd(ld(A,B),ld(A,ld(rd(C,A),B))) -> ld(A,C) collapsed.
% Current number of equations to process: 2725
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [320] ld(rd(unit,ld(A,B)),ld(A,C)) -> ld(A,ld(rd(A,B),C))
% Rule [83] ld(rd(unit,ld(A,B)),ld(A,rd(A,B))) -> ld(A,unit) collapsed.
% Rule [221] ld(rd(unit,ld(A,B)),ld(A,unit)) -> ld(A,ld(rd(A,B),unit))
% collapsed.
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 211
% Rule [311]
% ld(A,rd(ld(C,ld(rd(unit,C),ld(rd(rd(rd(ld(B,A),C),rd(unit,C)),rd(unit,C)),
% ld(rd(unit,rd(rd(rd(ld(B,A),C),rd(unit,C)),
% rd(unit,C))),rd(rd(B,rd(unit,C)),
% rd(unit,rd(rd(
% rd(
% ld(B,A),C),
% rd(unit,C)),
% rd(unit,C)))))))),C))
% -> rd(ld(A,rd(ld(C,ld(rd(unit,C),rd(B,rd(unit,C)))),B)),ld(A,unit)) is composed into 
% [311]
% ld(A,rd(ld(C,ld(rd(unit,C),ld(rd(rd(rd(ld(B,A),C),rd(unit,C)),rd(unit,C)),
% ld(rd(unit,rd(rd(rd(ld(B,A),C),rd(unit,C)),
% rd(unit,C))),rd(rd(B,rd(unit,C)),
% rd(unit,rd(rd(rd(ld(B,A),C),
% rd(unit,C)),
% rd(unit,C)))))))),C))
% -> rd(ld(A,ld(C,ld(rd(unit,C),rd(B,rd(unit,C))))),ld(A,B))
% New rule produced : [321] rd(ld(A,rd(B,C)),ld(A,unit)) -> rd(ld(A,B),ld(A,C))
% Rule [29] rd(ld(A,rd(B,A)),ld(A,unit)) -> ld(A,B) collapsed.
% Rule [57] rd(ld(A,rd(A,B)),ld(A,unit)) -> rd(unit,ld(A,B)) collapsed.
% Rule [218] rd(ld(A,rd(unit,B)),ld(A,unit)) -> rd(ld(A,unit),ld(A,B))
% collapsed.
% Rule
% [230]
% rd(ld(A,rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(C,ld(rd(unit,C),rd(A,
% rd(unit,C)))))),
% ld(A,unit)) -> rd(B,C) collapsed.
% Current number of equations to process: 2896
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [322] rd(ld(A,rd(B,rd(B,A))),ld(rd(B,A),unit)) -> ld(A,B)
% Current number of equations to process: 3504
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [323] ld(rd(B,A),ld(rd(B,rd(B,A)),C)) -> ld(A,ld(rd(B,A),C))
% Rule [231] ld(rd(B,A),ld(rd(B,rd(B,A)),rd(B,A))) -> ld(A,unit) collapsed.
% Rule [247] ld(rd(unit,A),ld(rd(unit,rd(unit,A)),B)) -> ld(A,ld(rd(unit,A),B))
% collapsed.
% Rule [276] ld(rd(B,A),ld(rd(B,rd(B,A)),unit)) -> ld(A,ld(rd(B,A),unit))
% collapsed.
% Current number of equations to process: 3502
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [324] ld(ld(rd(A,B),C),B) -> ld(rd(A,B),ld(rd(C,rd(A,B)),A))
% Rule
% [100]
% ld(ld(rd(A,B),ld(rd(A,B),ld(rd(unit,rd(A,B)),rd(A,rd(unit,rd(A,B)))))),B) ->
% ld(rd(A,B),unit) collapsed.
% Rule [248] ld(ld(rd(A,B),unit),B) -> ld(rd(A,B),ld(rd(unit,rd(A,B)),A))
% collapsed.
% Rule [277] ld(ld(rd(unit,A),B),A) -> ld(rd(unit,A),ld(rd(B,rd(unit,A)),unit))
% collapsed.
% Current number of equations to process: 3502
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [325] ld(rd(ld(A,unit),ld(A,B)),ld(A,C)) -> ld(A,ld(rd(unit,B),C))
% Rule [280] ld(rd(ld(A,unit),ld(A,B)),ld(A,rd(unit,B))) -> ld(A,unit)
% collapsed.
% Current number of equations to process: 3501
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [326] rd(rd(A,rd(ld(B,C),ld(B,V_3))),B) -> rd(rd(A,B),rd(C,V_3))
% Rule [169] rd(rd(A,rd(ld(B,C),ld(B,unit))),B) -> rd(rd(A,B),C) collapsed.
% Rule [279] rd(rd(A,rd(ld(B,unit),ld(B,C))),B) -> rd(rd(A,B),rd(unit,C))
% collapsed.
% Current number of equations to process: 3497
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [327] ld(rd(ld(A,B),ld(A,C)),ld(A,rd(B,C))) -> ld(A,unit)
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [328] ld(rd(ld(A,B),ld(A,C)),ld(A,V_3)) -> ld(A,ld(rd(B,C),V_3))
% Rule [318] ld(rd(ld(A,B),ld(A,unit)),ld(A,C)) -> ld(A,ld(B,C)) collapsed.
% Rule [325] ld(rd(ld(A,unit),ld(A,B)),ld(A,C)) -> ld(A,ld(rd(unit,B),C))
% collapsed.
% Rule [327] ld(rd(ld(A,B),ld(A,C)),ld(A,rd(B,C))) -> ld(A,unit) collapsed.
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [329] rd(ld(ld(A,B),rd(B,A)),ld(A,unit)) -> ld(ld(A,B),B)
% Rule
% [245]
% rd(ld(ld(A,unit),rd(unit,A)),ld(A,unit)) ->
% rd(unit,ld(A,rd(rd(unit,rd(unit,A)),A))) collapsed.
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [330] ld(rd(ld(rd(A,B),unit),B),B) -> ld(rd(A,B),ld(rd(unit,A),A))
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [331] rd(rd(rd(ld(A,B),A),rd(C,A)),rd(B,C)) -> rd(unit,A)
% Rule [288] rd(rd(rd(ld(A,unit),A),rd(B,A)),rd(unit,B)) -> rd(unit,A)
% collapsed.
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [332] rd(A,ld(rd(B,A),ld(rd(unit,B),B))) -> rd(ld(rd(B,A),unit),A)
% Current number of equations to process: 4975
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [333] ld(rd(unit,A),rd(rd(ld(A,B),A),rd(C,A))) -> rd(B,C)
% Rule [172] ld(rd(unit,A),rd(rd(ld(A,B),A),rd(unit,A))) -> B collapsed.
% Rule [286] ld(rd(unit,A),rd(rd(ld(A,unit),A),rd(B,A))) -> rd(unit,B)
% collapsed.
% Current number of equations to process: 2533
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [334] rd(rd(rd(ld(A,B),A),rd(ld(C,B),A)),C) -> rd(unit,A)
% Rule [289] rd(rd(rd(ld(A,unit),A),rd(ld(B,unit),A)),B) -> rd(unit,A)
% collapsed.
% Current number of equations to process: 2532
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [335] ld(rd(unit,A),rd(ld(A,unit),rd(B,A))) -> rd(rd(unit,rd(unit,A)),B)
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [336]
% ld(rd(A,B),rd(ld(rd(ld(B,C),ld(B,unit)),ld(rd(unit,rd(ld(B,C),ld(B,unit))),
% rd(A,rd(unit,rd(ld(B,C),ld(B,unit)))))),B))
% -> C
% Current number of equations to process: 3409
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [337]
% ld(B,rd(ld(rd(ld(ld(B,C),A),ld(B,unit)),ld(rd(unit,rd(ld(ld(B,C),A),ld(B,unit))),
% rd(C,rd(unit,rd(ld(ld(B,C),A),
% ld(B,unit)))))),B)) -> A
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [338]
% ld(A,ld(rd(B,A),rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(B,
% rd(unit,
% rd(C,
% ld(A,unit)))))),A)))
% -> C
% Current number of equations to process: 3834
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [339]
% rd(ld(ld(rd(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),B),C),ld(rd(unit,ld(
% rd(
% ld(A,
% ld(
% rd(unit,A),
% rd(B,
% rd(unit,A)))),B),C)),
% rd(A,rd(unit,
% ld(rd(ld(A,
% ld(
% rd(unit,A),
% rd(B,
% rd(unit,A)))),B),C))))),
% ld(B,C)) -> rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A)
% Current number of equations to process: 3954
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [340]
% ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(A,ld(rd(unit,A),rd(C,
% rd(unit,A)))))
% <->
% ld(ld(B,rd(ld(A,C),ld(A,unit))),ld(rd(unit,ld(B,rd(ld(A,C),ld(A,unit)))),
% rd(A,rd(unit,ld(B,rd(ld(A,C),ld(A,unit)))))))
% Current number of equations to process: 4231
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [341]
% ld(ld(B,rd(ld(A,C),ld(A,unit))),ld(rd(unit,ld(B,rd(ld(A,C),ld(A,unit)))),
% rd(A,rd(unit,ld(B,rd(ld(A,C),ld(A,unit)))))))
% <->
% ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),ld(A,ld(rd(unit,A),rd(C,
% rd(unit,A)))))
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [342]
% ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),rd(ld(C,ld(rd(unit,C),
% ld(rd(rd(rd(B,C),
% rd(unit,C)),
% rd(unit,C)),
% ld(rd(unit,rd(
% rd(
% rd(B,C),
% rd(unit,C)),
% rd(unit,C))),
% rd(rd(A,rd(unit,C)),
% rd(unit,rd(rd(
% rd(B,C),
% rd(unit,C)),
% rd(unit,C)))))))),C))
% <->
% ld(rd(ld(B,C),ld(B,unit)),ld(rd(unit,rd(ld(B,C),ld(B,unit))),rd(A,rd(unit,
% rd(
% ld(B,C),
% ld(B,unit))))))
% Current number of equations to process: 4653
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [343]
% ld(rd(ld(B,C),ld(B,unit)),ld(rd(unit,rd(ld(B,C),ld(B,unit))),rd(A,rd(unit,
% rd(
% ld(B,C),
% ld(B,unit))))))
% <->
% ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A),rd(ld(C,ld(rd(unit,C),
% ld(rd(rd(rd(B,C),
% rd(unit,C)),
% rd(unit,C)),
% ld(rd(unit,rd(
% rd(
% rd(B,C),
% rd(unit,C)),
% rd(unit,C))),
% rd(rd(A,rd(unit,C)),
% rd(unit,rd(rd(
% rd(B,C),
% rd(unit,C)),
% rd(unit,C)))))))),C))
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [344]
% rd(ld(rd(ld(A,B),ld(A,unit)),ld(rd(unit,rd(ld(A,B),ld(A,unit))),rd(A,
% rd(unit,
% rd(ld(A,B),
% ld(A,unit)))))),B)
% -> rd(B,ld(A,rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A)))
% Rule
% [310]
% ld(A,rd(ld(rd(ld(B,A),ld(B,unit)),ld(rd(unit,rd(ld(B,A),ld(B,unit))),
% rd(B,rd(unit,rd(ld(B,A),ld(B,unit)))))),A))
% -> ld(A,ld(rd(unit,A),rd(B,A))) collapsed.
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [345] rd(unit,ld(A,ld(B,rd(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),B)))) -> B
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [346]
% rd(A,ld(B,rd(B,ld(A,rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A))))) ->
% rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A)
% Current number of equations to process: 1466
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [347]
% ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),
% ld(rd(unit,ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A))))),
% rd(rd(ld(rd(unit,A),rd(B,rd(unit,A))),
% rd(A,ld(rd(unit,A),rd(B,rd(unit,A))))),
% rd(unit,rd(A,ld(rd(unit,A),rd(B,
% rd(unit,A)))))))))
% ->
% rd(unit,ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),rd(ld(B,ld(rd(unit,B),
% rd(A,rd(unit,B)))),A)))
% Current number of equations to process: 1609
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [348]
% rd(ld(rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(C,ld(rd(unit,C),rd(A,
% rd(unit,C))))),A),
% ld(rd(B,C),unit)) -> A
% Current number of equations to process: 1795
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [349]
% ld(B,ld(ld(A,rd(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A)),B)) ->
% rd(ld(B,rd(ld(ld(A,unit),ld(B,unit)),B)),ld(B,rd(unit,B)))
% Current number of equations to process: 2006
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [350]
% ld(B,ld(ld(A,rd(A,ld(B,rd(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),B)))),B)) ->
% rd(ld(B,rd(ld(ld(A,unit),ld(B,unit)),B)),ld(B,rd(unit,B)))
% Current number of equations to process: 2123
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [351]
% ld(A,ld(rd(A,ld(B,rd(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),B))),C)) ->
% ld(B,ld(A,C))
% Current number of equations to process: 2253
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [352]
% ld(A,ld(B,ld(A,ld(rd(unit,A),ld(rd(rd(rd(unit,ld(ld(A,ld(rd(unit,A),rd(B,
% rd(unit,A)))),B)),A),
% rd(unit,A)),ld(rd(unit,rd(rd(rd(unit,
% ld(ld(A,
% ld(rd(unit,A),
% rd(B,
% rd(unit,A)))),B)),A),
% rd(unit,A))),rd(
% rd(B,
% rd(unit,A)),
% rd(unit,
% rd(
% rd(
% rd(unit,
% ld(
% ld(A,
% ld(
% rd(unit,A),
% rd(B,
% rd(unit,A)))),B)),A),
% rd(unit,A))))))))))
% -> A
% Current number of equations to process: 2444
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [353]
% ld(rd(A,ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))),rd(ld(B,ld(rd(unit,B),A)),B))
% -> A
% Current number of equations to process: 2616
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [354]
% rd(ld(rd(ld(B,unit),B),ld(rd(unit,rd(ld(B,unit),B)),rd(A,rd(unit,rd(ld(B,unit),B))))),
% ld(B,ld(rd(unit,B),rd(A,rd(unit,rd(unit,B)))))) ->
% rd(A,ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))))
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [355]
% ld(rd(A,ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))),ld(rd(ld(B,unit),B),ld(
% rd(unit,
% rd(
% ld(B,unit),B)),
% rd(A,
% rd(unit,
% rd(
% ld(B,unit),B))))))
% -> ld(B,ld(rd(unit,B),rd(A,rd(unit,rd(unit,B)))))
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [356] ld(B,ld(rd(rd(ld(A,ld(rd(unit,A),B)),A),B),B)) -> A
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [357] ld(rd(unit,A),ld(rd(B,A),rd(rd(B,A),B))) -> ld(rd(B,A),unit)
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [358] ld(ld(rd(A,B),rd(rd(A,B),A)),ld(A,B)) -> B
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [359] ld(rd(A,B),rd(rd(A,B),A)) -> rd(ld(A,B),B)
% Rule [357] ld(rd(unit,A),ld(rd(B,A),rd(rd(B,A),B))) -> ld(rd(B,A),unit)
% collapsed.
% Rule [358] ld(ld(rd(A,B),rd(rd(A,B),A)),ld(A,B)) -> B collapsed.
% Current number of equations to process: 3392
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [360] ld(ld(A,rd(A,B)),ld(B,ld(A,B))) -> ld(A,B)
% Current number of equations to process: 3391
% Current number of ordered equations: 0
% Current number of rules: 227
% Rule [347]
% ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(ld(A,ld(rd(unit,A),rd(B,
% rd(unit,A)))),
% ld(rd(unit,ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A))))),
% rd(rd(ld(rd(unit,A),rd(B,
% rd(unit,A))),
% rd(A,ld(rd(unit,A),rd(B,
% rd(unit,A))))),
% rd(unit,rd(A,ld(rd(unit,A),
% rd(B,rd(unit,A)))))))))
% ->
% rd(unit,ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),rd(ld(B,ld(rd(unit,B),
% rd(A,rd(unit,B)))),A))) is composed into 
% [347]
% ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),ld(ld(A,ld(rd(unit,A),rd(B,rd(unit,A)))),
% ld(rd(unit,ld(A,ld(rd(unit,A),
% rd(B,rd(unit,A))))),
% rd(rd(ld(rd(unit,A),rd(B,rd(unit,A))),
% rd(A,ld(rd(unit,A),rd(B,rd(unit,A))))),
% rd(unit,rd(A,ld(rd(unit,A),rd(B,
% rd(unit,A)))))))))
% ->
% rd(unit,rd(ld(A,ld(ld(B,ld(rd(unit,B),rd(A,rd(unit,B)))),A)),ld(ld(B,
% ld(rd(unit,B),
% rd(A,
% rd(unit,B)))),A)))
% New rule produced : [361] ld(A,rd(A,B)) <-> rd(ld(B,ld(A,B)),ld(A,B))
% Rule [359] ld(rd(A,B),rd(rd(A,B),A)) -> rd(ld(A,B),B) collapsed.
% Current number of equations to process: 3440
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [362] rd(rd(rd(A,B),A),rd(ld(A,B),B)) -> rd(A,B)
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [363] rd(rd(A,B),rd(ld(B,ld(A,B)),ld(A,B))) -> A
% Current number of equations to process: 3854
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [364]
% ld(A,ld(rd(unit,A),rd(A,rd(unit,A)))) <-> ld(rd(unit,A),rd(unit,rd(unit,A)))
% Current number of equations to process: 4337
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [365]
% ld(rd(unit,A),rd(unit,rd(unit,A))) <-> ld(A,ld(rd(unit,A),rd(A,rd(unit,A))))
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [366]
% rd(rd(unit,ld(A,rd(rd(unit,rd(unit,A)),A))),rd(rd(unit,A),ld(A,unit))) -> A
% Current number of equations to process: 4549
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [367] ld(A,rd(ld(B,ld(rd(unit,B),A)),rd(unit,B))) -> rd(unit,rd(unit,B))
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [368]
% ld(rd(unit,A),rd(unit,rd(unit,rd(unit,A)))) ->
% rd(rd(unit,A),rd(rd(rd(unit,rd(unit,A)),A),A))
% Current number of equations to process: 4755
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [369]
% rd(A,rd(rd(unit,rd(unit,rd(unit,A))),rd(unit,A))) -> rd(unit,rd(unit,A))
% Current number of equations to process: 4813
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [370] rd(A,ld(rd(B,A),ld(rd(unit,rd(B,A)),B))) -> ld(rd(B,A),unit)
% Current number of equations to process: 4906
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [371] rd(ld(rd(unit,A),rd(A,ld(A,unit))),ld(rd(unit,A),A)) -> A
% Current number of equations to process: 1750
% Current number of ordered equations: 0
% Current number of rules: 237
% Rule [296]
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(
% rd(B,C),
% ld(
% rd(unit,
% rd(B,C)),
% rd(A,
% rd(unit,
% rd(B,C))))),A),
% rd(unit,
% rd(C,ld(A,unit)))))),A))
% <->
% ld(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),ld(rd(unit,ld(C,ld(A,rd(rd(C,A),
% rd(unit,A))))),
% rd(B,rd(unit,ld(C,ld(A,rd(
% rd(C,A),
% rd(unit,A)))))))) is composed into 
% [296]
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(rd(B,C),
% ld(rd(unit,
% rd(B,C)),
% rd(A,rd(unit,
% rd(B,C))))),A),
% rd(unit,rd(C,
% ld(A,unit)))))),A))
% <->
% ld(rd(ld(C,ld(A,unit)),ld(C,unit)),ld(rd(unit,rd(ld(C,ld(A,unit)),ld(C,unit))),
% rd(B,rd(unit,rd(ld(C,ld(A,unit)),ld(C,unit))))))
% Rule [294]
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(B,
% ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A),
% rd(unit,
% rd(C,ld(A,unit)))))),A))
% <->
% ld(C,ld(rd(unit,C),ld(rd(rd(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),C),
% rd(unit,C)),ld(rd(unit,rd(rd(ld(C,ld(A,rd(
% rd(C,A),
% rd(unit,A)))),C),
% rd(unit,C))),rd(rd(B,
% rd(unit,C)),
% rd(unit,
% rd(rd(
% ld(C,
% ld(A,
% rd(
% rd(C,A),
% rd(unit,A)))),C),
% rd(unit,C)))))))) is composed into 
% [294]
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(B,ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A),
% rd(unit,rd(C,
% ld(A,unit)))))),A))
% <->
% ld(C,ld(rd(unit,C),ld(rd(rd(rd(ld(C,ld(A,unit)),ld(C,unit)),C),rd(unit,C)),
% ld(rd(unit,rd(rd(rd(ld(C,ld(A,unit)),ld(C,unit)),C),
% rd(unit,C))),rd(rd(B,rd(unit,C)),rd(unit,
% rd(rd(
% rd(
% ld(C,
% ld(A,unit)),
% ld(C,unit)),C),
% rd(unit,C))))))))
% New rule produced :
% [372] ld(A,ld(B,rd(rd(A,B),rd(unit,B)))) -> rd(ld(A,ld(B,unit)),ld(A,unit))
% Rule
% [295]
% ld(C,ld(rd(unit,C),ld(rd(rd(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),C),rd(unit,C)),
% ld(rd(unit,rd(rd(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),C),
% rd(unit,C))),rd(rd(B,rd(unit,C)),rd(unit,
% rd(rd(
% ld(C,
% ld(A,
% rd(
% rd(C,A),
% rd(unit,A)))),C),
% rd(unit,C))))))))
% <->
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(B,ld(
% rd(unit,B),
% rd(A,
% rd(unit,B)))),A),
% rd(unit,rd(C,
% ld(A,unit)))))),A))
% collapsed.
% Rule
% [297]
% ld(ld(C,ld(A,rd(rd(C,A),rd(unit,A)))),ld(rd(unit,ld(C,ld(A,rd(rd(C,A),
% rd(unit,A))))),
% rd(B,rd(unit,ld(C,ld(A,rd(rd(C,A),
% rd(unit,A))))))))
% <->
% ld(A,rd(ld(rd(C,ld(A,unit)),ld(rd(unit,rd(C,ld(A,unit))),rd(rd(ld(rd(B,C),
% ld(rd(unit,
% rd(B,C)),
% rd(A,rd(unit,
% rd(B,C))))),A),
% rd(unit,rd(C,
% ld(A,unit)))))),A))
% collapsed.
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [373]
% rd(rd(unit,rd(unit,rd(unit,A))),rd(ld(A,unit),A)) -> rd(unit,rd(unit,A))
% Current number of equations to process: 1985
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [374] rd(rd(rd(A,rd(B,A)),rd(unit,rd(B,A))),B) -> rd(unit,rd(B,A))
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [375] ld(rd(rd(A,B),C),rd(A,rd(ld(B,C),ld(B,unit)))) -> B
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [376] rd(rd(rd(ld(rd(unit,A),B),A),rd(unit,A)),B) -> rd(unit,rd(unit,A))
% Current number of equations to process: 2555
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [377] rd(rd(ld(A,B),A),rd(ld(rd(unit,A),B),A)) -> rd(ld(A,unit),A)
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [378] ld(rd(rd(A,B),rd(B,C)),rd(A,rd(unit,ld(B,C)))) -> B
% Current number of equations to process: 2894
% Current number of ordered equations: 2
% Current number of rules: 242
% New rule produced :
% [379] rd(rd(A,rd(C,B)),rd(rd(C,B),C)) <-> rd(rd(A,rd(unit,B)),rd(C,B))
% Current number of equations to process: 2894
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [380] rd(rd(A,rd(unit,B)),rd(C,B)) <-> rd(rd(A,rd(C,B)),rd(rd(C,B),C))
% Current number of equations to process: 2894
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [381] rd(rd(rd(A,B),rd(unit,B)),rd(A,B)) -> rd(unit,rd(rd(A,B),A))
% Current number of equations to process: 3359
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [382] ld(rd(rd(A,B),ld(rd(unit,B),rd(C,B))),rd(A,C)) -> B
% Current number of equations to process: 4018
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [383] ld(rd(unit,A),rd(rd(unit,B),A)) <-> rd(rd(ld(B,ld(rd(unit,B),A)),B),A)
% Current number of equations to process: 4278
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [384] rd(rd(ld(B,ld(rd(unit,B),A)),B),A) <-> ld(rd(unit,A),rd(rd(unit,B),A))
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [385] ld(rd(unit,A),rd(ld(B,unit),A)) <-> rd(ld(B,ld(rd(unit,B),rd(A,B))),A)
% Current number of equations to process: 4595
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [386] rd(ld(B,ld(rd(unit,B),rd(A,B))),A) <-> ld(rd(unit,A),rd(ld(B,unit),A))
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [387] rd(A,ld(B,ld(rd(unit,B),rd(A,B)))) <-> ld(rd(unit,A),rd(B,A))
% Current number of equations to process: 4850
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [388] ld(rd(unit,A),rd(B,A)) <-> rd(A,ld(B,ld(rd(unit,B),rd(A,B))))
% Rule [188] ld(rd(unit,rd(A,B)),rd(B,rd(A,B))) -> rd(A,rd(A,B)) collapsed.
% Current number of equations to process: 4851
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [389] ld(rd(unit,ld(A,B)),A) -> rd(ld(A,B),ld(B,ld(rd(A,B),unit)))
% Rule [197] rd(unit,ld(rd(unit,ld(A,B)),A)) -> rd(rd(ld(A,B),B),ld(A,B))
% collapsed.
% Current number of equations to process: 2346
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [390] rd(rd(rd(unit,A),rd(B,A)),rd(ld(A,B),B)) -> rd(unit,ld(A,B))
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [391] ld(rd(rd(ld(A,B),A),rd(unit,A)),rd(unit,A)) -> rd(ld(B,A),A)
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [392] ld(rd(rd(A,B),ld(C,A)),C) -> ld(rd(unit,ld(C,A)),rd(B,ld(C,A)))
% Current number of equations to process: 3158
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [393] ld(rd(unit,ld(A,B)),rd(rd(unit,A),rd(B,A))) -> rd(ld(A,B),B)
% Current number of equations to process: 3441
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [394]
% ld(rd(unit,A),rd(rd(unit,A),ld(A,unit))) -> rd(A,ld(A,rd(unit,rd(unit,A))))
% Current number of equations to process: 3677
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [395] rd(rd(A,ld(A,B)),rd(ld(A,unit),ld(A,rd(B,A)))) -> A
% Current number of equations to process: 3751
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [396] ld(rd(unit,A),rd(rd(ld(A,unit),B),A)) -> rd(rd(A,rd(B,ld(A,unit))),A)
% Current number of equations to process: 3945
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [397] rd(unit,ld(rd(unit,A),rd(unit,rd(B,A)))) -> rd(rd(A,rd(A,ld(A,B))),A)
% Current number of equations to process: 4026
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced : [398] ld(rd(unit,rd(A,rd(A,B))),rd(rd(A,B),ld(B,A))) -> B
% Current number of equations to process: 4293
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced : [399] ld(rd(unit,rd(A,B)),rd(B,ld(ld(B,A),A))) -> ld(B,A)
% Current number of equations to process: 4384
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [400] rd(rd(A,rd(ld(A,unit),B)),A) <-> rd(unit,rd(rd(A,rd(B,ld(A,unit))),A))
% Current number of equations to process: 4721
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [401] rd(unit,rd(rd(A,rd(B,ld(A,unit))),A)) <-> rd(rd(A,rd(ld(A,unit),B)),A)
% Current number of equations to process: 4721
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [402] rd(ld(A,unit),ld(A,ld(rd(unit,A),rd(B,A)))) -> ld(A,rd(A,B))
% Current number of equations to process: 2459
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [403]
% rd(ld(A,unit),ld(B,ld(rd(unit,B),rd(ld(rd(A,B),rd(unit,B)),rd(unit,B))))) ->
% ld(A,rd(A,B))
% Current number of equations to process: 2572
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [404] ld(ld(rd(A,B),unit),ld(rd(unit,B),rd(ld(A,B),B))) -> unit
% Current number of equations to process: 2703
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [405] rd(rd(ld(A,ld(rd(B,A),unit)),A),rd(unit,A)) -> rd(ld(B,A),A)
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [406]
% rd(unit,rd(ld(A,unit),ld(A,rd(unit,A)))) -> rd(rd(ld(A,unit),A),ld(A,unit))
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [407] rd(ld(rd(unit,A),ld(rd(B,rd(unit,A)),unit)),A) -> ld(B,rd(unit,A))
% Current number of equations to process: 3160
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [408]
% ld(ld(A,rd(unit,rd(unit,A))),A) -> rd(rd(rd(unit,A),ld(A,unit)),ld(A,unit))
% Current number of equations to process: 3348
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [409] ld(B,ld(rd(ld(A,B),B),B)) -> ld(A,ld(rd(B,A),ld(rd(unit,A),B)))
% Current number of equations to process: 3418
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [410] rd(ld(rd(A,B),ld(rd(unit,rd(A,B)),A)),ld(A,ld(rd(B,A),A))) -> B
% Current number of equations to process: 3418
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [411] rd(rd(A,ld(C,ld(B,C))),ld(B,C)) <-> rd(rd(A,ld(B,C)),ld(B,unit))
% Current number of equations to process: 3876
% Current number of ordered equations: 2
% Current number of rules: 273
% New rule produced :
% [412] rd(A,ld(rd(B,ld(A,C)),unit)) -> rd(rd(C,ld(B,ld(A,C))),ld(A,C))
% Current number of equations to process: 3876
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [413] rd(rd(A,ld(B,C)),ld(B,unit)) <-> rd(rd(A,ld(C,ld(B,C))),ld(B,C))
% Current number of equations to process: 3876
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [414] rd(rd(B,ld(B,ld(A,B))),ld(A,B)) <-> rd(A,ld(A,unit))
% Current number of equations to process: 4274
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [415] rd(A,ld(A,unit)) <-> rd(rd(B,ld(B,ld(A,B))),ld(A,B))
% Current number of equations to process: 4274
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [416] ld(rd(A,ld(A,unit)),rd(B,ld(B,ld(A,B)))) -> ld(A,B)
% Current number of equations to process: 1139
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [417] rd(rd(ld(A,B),ld(A,unit)),ld(B,A)) <-> rd(rd(unit,ld(B,A)),ld(B,unit))
% Current number of equations to process: 1283
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [418] rd(rd(unit,ld(B,A)),ld(B,unit)) <-> rd(rd(ld(A,B),ld(A,unit)),ld(B,A))
% Current number of equations to process: 1283
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [419] ld(rd(rd(A,B),ld(rd(C,B),unit)),rd(A,ld(C,B))) -> B
% Current number of equations to process: 1693
% Current number of ordered equations: 0
% Current number of rules: 281
% Rule [148] ld(A,ld(A,rd(unit,rd(unit,A)))) -> rd(ld(A,ld(A,unit)),ld(A,unit)) is composed into 
% [148]
% ld(A,ld(A,rd(unit,rd(unit,A)))) -> rd(ld(A,unit),rd(rd(unit,A),ld(A,unit)))
% New rule produced :
% [420]
% rd(ld(A,ld(A,unit)),ld(A,unit)) -> rd(ld(A,unit),rd(rd(unit,A),ld(A,unit)))
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [421] ld(rd(A,B),rd(ld(B,A),B)) -> rd(ld(rd(A,B),unit),ld(rd(A,B),B))
% Current number of equations to process: 2045
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [422] rd(rd(ld(A,unit),A),rd(ld(rd(B,A),unit),A)) -> rd(ld(A,B),A)
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [423] ld(ld(rd(unit,A),rd(ld(B,A),A)),ld(rd(B,A),unit)) -> unit
% Current number of equations to process: 2422
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [424] ld(rd(A,rd(rd(unit,rd(unit,A)),A)),ld(rd(unit,A),A)) -> A
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 286
% Rule [406]
% rd(unit,rd(ld(A,unit),ld(A,rd(unit,A)))) ->
% rd(rd(ld(A,unit),A),ld(A,unit)) is composed into [406]
% rd(unit,rd(ld(A,unit),
% ld(A,rd(unit,A))))
% ->
% rd(rd(rd(unit,A),
% rd(A,rd(rd(unit,
% rd(unit,A)),A))),
% ld(A,unit))
% Rule [377] rd(rd(ld(A,B),A),rd(ld(rd(unit,A),B),A)) -> rd(ld(A,unit),A) is composed into 
% [377]
% rd(rd(ld(A,B),A),rd(ld(rd(unit,A),B),A)) ->
% rd(rd(unit,A),rd(A,rd(rd(unit,rd(unit,A)),A)))
% New rule produced :
% [425] rd(ld(A,unit),A) -> rd(rd(unit,A),rd(A,rd(rd(unit,rd(unit,A)),A)))
% Rule
% [354]
% rd(ld(rd(ld(B,unit),B),ld(rd(unit,rd(ld(B,unit),B)),rd(A,rd(unit,rd(ld(B,unit),B))))),
% ld(B,ld(rd(unit,B),rd(A,rd(unit,rd(unit,B)))))) ->
% rd(A,ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))) collapsed.
% Rule
% [355]
% ld(rd(A,ld(B,ld(rd(unit,B),rd(A,rd(unit,B))))),ld(rd(ld(B,unit),B),ld(
% rd(unit,
% rd(
% ld(B,unit),B)),
% rd(A,
% rd(unit,
% rd(
% ld(B,unit),B))))))
% -> ld(B,ld(rd(unit,B),rd(A,rd(unit,rd(unit,B))))) collapsed.
% Rule
% [373]
% rd(rd(unit,rd(unit,rd(unit,A))),rd(ld(A,unit),A)) -> rd(unit,rd(unit,A))
% collapsed.
% Rule [422] rd(rd(ld(A,unit),A),rd(ld(rd(B,A),unit),A)) -> rd(ld(A,B),A)
% collapsed.
% Current number of equations to process: 2672
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [426] ld(rd(A,ld(rd(unit,A),B)),ld(rd(unit,A),rd(unit,B))) -> A
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [427]
% rd(rd(rd(unit,A),rd(A,rd(rd(unit,rd(unit,A)),A))),rd(ld(B,unit),A)) <->
% rd(rd(ld(A,B),A),rd(unit,A))
% Current number of equations to process: 2901
% Current number of ordered equations: 1
% Current number of rules: 285
% New rule produced :
% [428]
% rd(rd(ld(A,B),A),rd(unit,A)) <->
% rd(rd(rd(unit,A),rd(A,rd(rd(unit,rd(unit,A)),A))),rd(ld(B,unit),A))
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [429]
% rd(rd(ld(A,rd(unit,B)),A),rd(unit,A)) ->
% rd(rd(rd(unit,A),rd(A,rd(rd(unit,rd(unit,A)),A))),rd(B,A))
% Current number of equations to process: 3355
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [430] ld(A,rd(A,rd(ld(A,unit),ld(A,B)))) -> rd(ld(A,unit),ld(A,rd(unit,B)))
% Current number of equations to process: 3477
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [431]
% ld(B,ld(A,ld(rd(unit,A),ld(rd(B,rd(unit,A)),unit)))) <->
% ld(rd(A,ld(B,unit)),ld(B,unit))
% Current number of equations to process: 3614
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [432]
% ld(rd(A,ld(B,unit)),ld(B,unit)) <->
% ld(B,ld(A,ld(rd(unit,A),ld(rd(B,rd(unit,A)),unit))))
% Current number of equations to process: 3614
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [433] ld(rd(B,A),ld(rd(unit,B),rd(A,B))) <-> ld(rd(unit,A),ld(rd(B,A),unit))
% Current number of equations to process: 3925
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [434] ld(rd(unit,A),ld(rd(B,A),unit)) <-> ld(rd(B,A),ld(rd(unit,B),rd(A,B)))
% Current number of equations to process: 3925
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [435] ld(rd(unit,A),rd(B,rd(C,A))) <-> rd(ld(rd(unit,A),rd(B,rd(unit,A))),C)
% Current number of equations to process: 4425
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [436] rd(ld(rd(unit,A),rd(B,rd(unit,A))),C) <-> ld(rd(unit,A),rd(B,rd(C,A)))
% Current number of equations to process: 4425
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced : [437] rd(rd(A,rd(B,ld(C,unit))),rd(ld(C,rd(A,C)),B)) -> C
% Current number of equations to process: 4953
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [438] ld(A,rd(B,rd(unit,ld(A,C)))) -> rd(ld(A,rd(B,A)),ld(A,rd(A,C)))
% Current number of equations to process: 1596
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [439]
% rd(rd(rd(unit,rd(unit,A)),A),rd(unit,A)) ->
% rd(unit,rd(unit,rd(unit,rd(unit,A))))
% Current number of equations to process: 1849
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [440]
% rd(rd(rd(rd(unit,A),rd(A,rd(rd(unit,rd(unit,A)),A))),A),rd(unit,A)) ->
% rd(rd(unit,A),rd(unit,rd(unit,A)))
% Current number of equations to process: 1949
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [441]
% ld(rd(unit,rd(unit,A)),rd(unit,A)) ->
% ld(A,rd(rd(unit,ld(A,rd(rd(unit,rd(unit,A)),A))),ld(rd(unit,A),A)))
% Current number of equations to process: 2054
% Current number of ordered equations: 0
% Current number of rules: 299
% Rule [414] rd(rd(B,ld(B,ld(A,B))),ld(A,B)) <-> rd(A,ld(A,unit)) is composed into 
% [414]
% rd(rd(B,ld(B,ld(A,B))),ld(A,B)) ->
% rd(rd(A,rd(rd(unit,rd(unit,A)),A)),rd(unit,A))
% New rule produced :
% [442] rd(A,ld(A,unit)) -> rd(rd(A,rd(rd(unit,rd(unit,A)),A)),rd(unit,A))
% Rule [249] ld(A,ld(rd(unit,A),rd(A,ld(A,unit)))) -> ld(rd(unit,A),A)
% collapsed.
% Rule [371] rd(ld(rd(unit,A),rd(A,ld(A,unit))),ld(rd(unit,A),A)) -> A
% collapsed.
% Rule [415] rd(A,ld(A,unit)) <-> rd(rd(B,ld(B,ld(A,B))),ld(A,B)) collapsed.
% Rule [416] ld(rd(A,ld(A,unit)),rd(B,ld(B,ld(A,B)))) -> ld(A,B) collapsed.
% Current number of equations to process: 2124
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [443]
% ld(rd(rd(A,rd(rd(unit,rd(unit,A)),A)),rd(unit,A)),rd(ld(rd(unit,A),A),
% ld(A,unit))) -> A
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [444]
% rd(ld(rd(unit,A),rd(rd(A,rd(rd(unit,rd(unit,A)),A)),rd(unit,A))),ld(rd(unit,A),A))
% -> A
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [445] rd(rd(rd(A,rd(A,B)),B),rd(A,B)) -> rd(unit,rd(A,rd(A,rd(A,B))))
% Rule
% [439]
% rd(rd(rd(unit,rd(unit,A)),A),rd(unit,A)) ->
% rd(unit,rd(unit,rd(unit,rd(unit,A)))) collapsed.
% Current number of equations to process: 2353
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [446] rd(rd(rd(ld(A,B),A),A),rd(B,A)) -> rd(rd(unit,A),rd(B,rd(B,A)))
% Current number of equations to process: 2624
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [447] rd(rd(rd(unit,A),rd(B,A)),rd(rd(B,A),B)) -> rd(unit,rd(B,A))
% Current number of equations to process: 2940
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [448] rd(rd(ld(B,ld(rd(unit,B),rd(A,B))),B),rd(A,B)) -> rd(rd(A,B),A)
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [449] ld(rd(unit,A),rd(rd(B,A),B)) -> rd(ld(rd(unit,A),rd(B,A)),B)
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced : [450] rd(ld(rd(rd(ld(A,ld(rd(unit,A),B)),A),B),B),A) -> B
% Current number of equations to process: 3586
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [451] rd(ld(A,B),ld(ld(A,B),B)) -> rd(rd(ld(A,ld(A,B)),A),rd(unit,A))
% Rule [259] ld(rd(unit,A),rd(ld(A,B),ld(ld(A,B),B))) -> ld(A,B) collapsed.
% Current number of equations to process: 3777
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [452]
% rd(ld(A,rd(rd(unit,rd(unit,A)),A)),A) -> ld(A,rd(unit,rd(unit,rd(unit,A))))
% Current number of equations to process: 3924
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [453]
% rd(ld(A,rd(rd(unit,A),A)),ld(A,rd(unit,A))) ->
% rd(ld(A,unit),ld(A,rd(unit,rd(unit,A))))
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [454] ld(rd(A,rd(ld(A,B),ld(A,unit))),rd(unit,B)) -> rd(ld(A,B),B)
% Current number of equations to process: 4186
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [455] rd(A,rd(ld(A,unit),ld(A,B))) <-> rd(rd(ld(rd(unit,B),A),B),rd(unit,B))
% Current number of equations to process: 4338
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [456] rd(rd(ld(rd(unit,B),A),B),rd(unit,B)) <-> rd(A,rd(ld(A,unit),ld(A,B)))
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [457] ld(rd(unit,rd(unit,A)),rd(B,rd(ld(B,unit),ld(B,A)))) -> B
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [458] ld(rd(rd(A,rd(B,A)),rd(unit,rd(B,A))),B) -> rd(unit,ld(B,A))
% Current number of equations to process: 4880
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [459] rd(ld(A,ld(rd(B,A),unit)),ld(rd(B,A),unit)) -> ld(B,rd(B,A))
% Current number of equations to process: 1883
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [460] ld(ld(A,unit),rd(unit,A)) -> rd(ld(rd(rd(unit,rd(unit,A)),A),A),A)
% Current number of equations to process: 1940
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [461] ld(ld(A,rd(A,B)),ld(B,ld(rd(A,B),unit))) -> ld(rd(A,B),unit)
% Current number of equations to process: 2066
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [462]
% rd(rd(ld(ld(A,unit),A),A),A) ->
% ld(rd(unit,A),rd(A,rd(rd(A,rd(rd(unit,rd(unit,A)),A)),rd(unit,A))))
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [463]
% rd(ld(A,ld(ld(A,unit),A)),A) ->
% rd(rd(A,rd(rd(A,rd(rd(unit,rd(unit,A)),A)),rd(unit,A))),rd(unit,A))
% Current number of equations to process: 2301
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [464] rd(ld(rd(unit,A),rd(ld(A,B),rd(unit,A))),B) -> rd(B,rd(B,A))
% Current number of equations to process: 2401
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [465] ld(A,ld(B,rd(ld(ld(B,unit),A),B))) -> rd(unit,ld(A,rd(A,ld(B,unit))))
% Current number of equations to process: 2773
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [466]
% rd(rd(unit,A),rd(ld(rd(unit,A),B),A)) ->
% rd(rd(rd(unit,B),rd(B,rd(rd(unit,rd(unit,B)),B))),rd(A,B))
% Current number of equations to process: 2905
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [467] rd(A,ld(rd(B,A),ld(rd(C,rd(B,A)),B))) -> ld(rd(B,A),C)
% Rule [370] rd(A,ld(rd(B,A),ld(rd(unit,rd(B,A)),B))) -> ld(rd(B,A),unit)
% collapsed.
% Current number of equations to process: 3038
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced : [468] rd(A,ld(rd(B,A),ld(rd(rd(B,A),B),B))) -> rd(unit,A)
% Current number of equations to process: 3370
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [469] ld(rd(B,A),ld(rd(rd(B,A),B),B)) -> ld(rd(unit,A),A)
% Rule [468] rd(A,ld(rd(B,A),ld(rd(rd(B,A),B),B))) -> rd(unit,A) collapsed.
% Current number of equations to process: 3447
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [470] rd(ld(rd(rd(A,B),A),A),ld(rd(unit,B),B)) -> rd(A,B)
% Current number of equations to process: 3690
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [471] ld(ld(A,B),B) <-> rd(ld(ld(A,B),C),ld(A,ld(rd(B,A),C)))
% Rule [102] ld(ld(A,B),B) <-> rd(ld(ld(A,B),A),ld(A,ld(rd(B,A),A))) collapsed.
% Current number of equations to process: 3906
% Current number of ordered equations: 1
% Current number of rules: 320
% New rule produced :
% [472] rd(ld(ld(A,B),C),ld(A,ld(rd(B,A),C))) <-> ld(ld(A,B),B)
% Rule [103] rd(ld(ld(A,B),A),ld(A,ld(rd(B,A),A))) <-> ld(ld(A,B),B) collapsed.
% Current number of equations to process: 3906
% Current number of ordered equations: 0
% Current number of rules: 320
% Rule [472] rd(ld(ld(A,B),C),ld(A,ld(rd(B,A),C))) <-> ld(ld(A,B),B) is composed into 
% [472]
% rd(ld(ld(A,B),C),ld(A,ld(rd(B,A),C))) -> rd(unit,ld(A,ld(rd(B,A),ld(A,B))))
% Rule [329] rd(ld(ld(A,B),rd(B,A)),ld(A,unit)) -> ld(ld(A,B),B) is composed into 
% [329]
% rd(ld(ld(A,B),rd(B,A)),ld(A,unit)) -> rd(unit,ld(A,ld(rd(B,A),ld(A,B))))
% New rule produced : [473] ld(ld(A,B),B) -> rd(unit,ld(A,ld(rd(B,A),ld(A,B))))
% Rule
% [151]
% ld(ld(B,C),ld(rd(unit,ld(B,C)),ld(rd(rd(ld(ld(B,C),C),ld(B,ld(rd(C,B),B))),
% ld(B,C)),ld(rd(unit,rd(rd(ld(ld(B,C),C),
% ld(B,ld(rd(C,B),B))),
% ld(B,C))),rd(rd(A,
% rd(unit,
% ld(B,C))),
% rd(unit,
% rd(rd(
% ld(
% ld(B,C),C),
% ld(B,
% ld(
% rd(C,B),B))),
% ld(B,C))))))))
% ->
% ld(B,ld(rd(unit,B),ld(rd(rd(ld(B,C),B),rd(unit,B)),ld(rd(unit,rd(rd(ld(B,C),B),
% rd(unit,B))),
% rd(rd(A,rd(unit,B)),
% rd(unit,rd(rd(ld(B,C),B),
% rd(unit,B))))))))
% collapsed.
% Rule [180] rd(rd(ld(ld(A,B),B),A),rd(B,A)) -> rd(unit,ld(A,B)) collapsed.
% Rule [255] ld(rd(unit,ld(A,B)),rd(ld(ld(A,B),B),A)) -> rd(B,A) collapsed.
% Rule [399] ld(rd(unit,rd(A,BCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------