%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP721-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n150.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 00:24:13 EDT 2014

% Result   : Timeout 300.05s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP721-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n150.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 01:24:33 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_58564_n150.star.cs.uiowa.edu
% #verbose 1;
% let F = signature "  mult : infix commutative; b,a,unit : constant;  f : 2;  ld : 2;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% A mult unit = A;
% unit mult A = A;
% A mult ld(A,B) = B;
% ld(A,A mult B) = B;
% ld(A mult B,A mult (B mult (C mult D))) = ld(A mult B,A mult (B mult C)) mult ld(A mult B,A mult (B mult D));
% ld(A,(B mult C) mult A) = ld(A,B mult A) mult ld(A,C mult A);
% f(A,B) = ld(ld(A mult B,A) mult ld(A mult B,B),unit);
% ";
% 
% let s1 = status F "
% b lr_lex;
% a lr_lex;
% f lr_lex;
% ld lr_lex;
% unit lr_lex;
% mult mul;
% ";
% 
% let p1 = precedence F "
% f > mult > ld > unit > a > b";
% 
% let s2 = status F "
% b mul;
% a mul;
% f mul;
% ld mul;
% mult mul;
% unit mul;
% ";
% 
% let p2 = precedence F "
% f > mult > ld > unit = a = b";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " (a mult a) mult (b mult b) = f(a,b) mult f(a,b);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { unit mult A = A,
% unit mult A = A,
% ld(A,B) mult A = B,
% ld(A,A mult B) = B,
% ld(A mult B,((C mult D) mult B) mult A) =
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,
% (B mult D) mult A),
% ld(A,(B mult C) mult A) =
% ld(A,A mult B) mult ld(A,A mult C),
% f(A,B) =
% ld(ld(A mult B,A) mult ld(A mult B,B),unit) }
% (7 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 = { (b mult b) mult (a mult a) =
% f(a,b) mult f(a,b) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] unit mult A -> A
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 1
% New rule produced : [2] ld(A,B) mult A -> B
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 2
% New rule produced : [3] ld(A,A mult B) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 3
% New rule produced : [4] f(A,B) -> ld(ld(A mult B,A) mult ld(A mult B,B),unit)
% The conjecture has been reduced. 
% Conjecture is now:
% (b mult b) mult (a mult a) = ld(ld(b mult a,b) mult ld(b mult a,a),unit) mult 
% ld(ld(b mult a,b) mult ld(b mult a,a),unit)
% 
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 4
% New rule produced :
% [5]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,(B mult D) mult A) <->
% ld(A mult B,((C mult D) mult B) mult A)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 5
% New rule produced :
% [6]
% ld(A mult B,((C mult D) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,(B mult D) mult A)
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 6
% New rule produced : [7] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 7
% New rule produced : [8] ld(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced : [9] ld(ld(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% ld(A mult B,(B mult C) mult A) mult A <->
% ld(A mult B,((A mult C) mult B) mult A)
% Current number of equations to process: 9
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [11]
% ld(A mult B,((A mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult A
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% ld(A mult B,((ld(A,D) mult C) mult A) mult B) <->
% ld(A mult B,(A mult C) mult B) mult ld(A mult B,B mult D)
% Current number of equations to process: 8
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [13]
% ld(A mult B,(A mult C) mult B) mult ld(A mult B,B mult D) <->
% ld(A mult B,((ld(A,D) mult C) mult A) mult B)
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] ld(A mult B,((A mult A) mult B) mult A) -> A mult A
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% ld(A,(ld(B,A) mult C) mult B) mult B ->
% ld(A,((B mult C) mult ld(B,A)) mult B)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% ld(A,ld(A mult B,((A mult C) mult B) mult A)) ->
% ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17]
% ld(B,((ld(A,B) mult C) mult A) mult ld(A,B)) ->
% ld(A,B) mult ld(B,(A mult C) mult ld(A,B))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18]
% ld(A mult B,(ld(A,C) mult B) mult A) mult A -> ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% (ld(A mult B,(B mult C) mult A) mult A) mult (A mult B) ->
% ((A mult C) mult B) mult A
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% ld(A mult B,(((A mult C) mult A) mult B) mult A) <->
% (ld(A mult B,(B mult C) mult A) mult A) mult A
% Current number of equations to process: 44
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [21]
% (ld(A mult B,(B mult C) mult A) mult A) mult A <->
% ld(A mult B,(((A mult C) mult A) mult B) mult A)
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% ld(ld(A,B) mult C,((A mult C) mult ld(A,B)) mult C) ->
% ld(ld(A,B) mult C,B mult C) mult C
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% ld(ld(A mult B,(B mult C) mult A) mult A,((A mult C) mult B) mult A) ->
% A mult B
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% ld(ld(A mult B,(B mult C) mult A),ld(A mult B,((A mult C) mult B) mult A)) ->
% A
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C)
% Current number of equations to process: 46
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [26]
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C) <->
% ld(A mult B,(A mult C) mult B)
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% ld(A,((ld(ld(B,A),C) mult D) mult ld(B,A)) mult B) ->
% ld(A,(ld(B,A) mult D) mult B) mult ld(A,B mult C)
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28]
% ld(ld(A,B) mult C,(A mult C) mult ld(A,B)) mult ld(A,B) ->
% ld(ld(A,B) mult C,(B mult C) mult ld(A,B))
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29]
% ld(A,((ld(B,C) mult D) mult B) mult ld(B,A)) <->
% ld(A,(B mult D) mult ld(B,A)) mult ld(A,ld(B,A) mult C)
% Rule
% [17]
% ld(B,((ld(A,B) mult C) mult A) mult ld(A,B)) ->
% ld(A,B) mult ld(B,(A mult C) mult ld(A,B)) collapsed.
% Current number of equations to process: 43
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [30]
% ld(A,(B mult D) mult ld(B,A)) mult ld(A,ld(B,A) mult C) <->
% ld(A,((ld(B,C) mult D) mult B) mult ld(B,A))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,((ld(B,unit) mult C) mult B) mult A)
% Current number of equations to process: 71
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [32]
% ld(A mult B,((ld(B,unit) mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A)
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% ld(A mult B,((ld(A,C) mult ld(A,D)) mult A) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B mult D)
% Current number of equations to process: 70
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [34]
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) <->
% ld(A mult B,((ld(A,C) mult ld(A,D)) mult A) mult B)
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35] ((A mult A) mult B) mult A -> (A mult A) mult (A mult B)
% Rule [14] ld(A mult B,((A mult A) mult B) mult A) -> A mult A collapsed.
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [36] ld(ld(A mult A,B) mult A,A mult B) -> A mult A
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [37]
% ld(A,ld(B,((A mult C) mult ld(A,B)) mult A)) -> ld(B,(ld(A,B) mult C) mult A)
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [38]
% ((ld(A,unit) mult B) mult A) mult A -> ((A mult B) mult ld(A,unit)) mult A
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [39]
% ld(A mult B,(ld(A,C) mult B) mult A) -> ld(A,ld(A mult B,(B mult C) mult A))
% Rule
% [18]
% ld(A mult B,(ld(A,C) mult B) mult A) mult A -> ld(A mult B,(B mult C) mult A)
% collapsed.
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [40]
% ((ld(A,C) mult B) mult A) mult B ->
% (ld(A mult B,B mult C) mult B) mult (A mult B)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [41]
% (ld(A,B) mult ld(B,(A mult C) mult ld(A,B))) mult B ->
% ((ld(A,B) mult C) mult A) mult ld(A,B)
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [42]
% ld(ld(A,(ld(B,A) mult C) mult B),ld(A,((B mult C) mult ld(B,A)) mult B)) -> B
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [43]
% (ld(ld(A,B) mult C,B mult C) mult C) mult (ld(A,B) mult C) ->
% ((A mult C) mult ld(A,B)) mult C
% Current number of equations to process: 228
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [44]
% ((ld(A mult B,(B mult C) mult A) mult A) mult A) mult (A mult B) ->
% (((A mult C) mult A) mult B) mult A
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [45] ld(A mult B,(((A mult A) mult A) mult B) mult A) -> (A mult A) mult A
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [46]
% ld(A mult B,(((ld(A,C) mult B) mult B) mult A) mult B) ->
% (ld(A mult B,B mult C) mult B) mult B
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [47]
% ld((A mult B) mult A,((B mult C) mult A) mult A) mult A <->
% ld((A mult B) mult A,(((A mult C) mult B) mult A) mult A)
% Current number of equations to process: 406
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [48]
% ld((A mult B) mult A,(((A mult C) mult B) mult A) mult A) <->
% ld((A mult B) mult A,((B mult C) mult A) mult A) mult A
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [49]
% ld(A mult B,((((A mult C) mult A) mult A) mult B) mult A) <->
% ((ld(A mult B,(B mult C) mult A) mult A) mult A) mult A
% Current number of equations to process: 405
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [50]
% ((ld(A mult B,(B mult C) mult A) mult A) mult A) mult A <->
% ld(A mult B,((((A mult C) mult A) mult A) mult B) mult A)
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [51] ld(A mult B,(A mult A) mult B) mult ld(A mult B,B) -> unit
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [52]
% ld(A,(ld(B,A) mult C) mult B) <->
% ld(A,(ld(B,A) mult ld(B,A)) mult B) mult ld(A,B mult C)
% Rule
% [27]
% ld(A,((ld(ld(B,A),C) mult D) mult ld(B,A)) mult B) ->
% ld(A,(ld(B,A) mult D) mult B) mult ld(A,B mult C) collapsed.
% Current number of equations to process: 465
% Current number of ordered equations: 2
% Current number of rules: 48
% New rule produced :
% [53]
% ld(A,(ld(B,A) mult ld(B,A)) mult B) mult ld(A,B mult C) <->
% ld(A,(ld(B,A) mult C) mult B)
% Current number of equations to process: 465
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [54]
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,ld(B,A) mult C) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [55]
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,ld(A,C) mult B) ->
% ld(A mult B,B mult C)
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [56]
% (ld(A mult A,A mult B) mult A) mult A ->
% ld(A mult A,((A mult B) mult A) mult A)
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [57] ld(A mult A,A mult B) mult A -> ld(A mult A,(A mult B) mult A)
% Rule
% [56]
% (ld(A mult A,A mult B) mult A) mult A ->
% ld(A mult A,((A mult B) mult A) mult A) collapsed.
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [58]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,(B mult B) mult A) mult ld(A mult B,C)
% Current number of equations to process: 514
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [59]
% ld(A mult B,(B mult B) mult A) mult ld(A mult B,C) <->
% ld(A,ld(A mult B,(B mult C) mult A))
% Rule [51] ld(A mult B,(A mult A) mult B) mult ld(A mult B,B) -> unit
% collapsed.
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [60]
% ld(A mult B,(A mult A) mult B) <->
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B))
% Current number of equations to process: 512
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [61]
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) <->
% ld(A mult B,(A mult A) mult B)
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [62]
% ld(ld(A mult B,(A mult A) mult B),ld(A mult B,(A mult C) mult B)) ->
% ld(A mult B,B mult C)
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [63]
% ld(A,B) mult ld(B,(A mult A) mult ld(A,B)) -> ld(B,(A mult B) mult ld(A,B))
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [64]
% ld(ld(A,B),ld(ld(A,B) mult C,(B mult C) mult ld(A,B))) <->
% ld(ld(A,B) mult C,(A mult C) mult ld(A,B))
% Current number of equations to process: 632
% Current number of ordered equations: 2
% Current number of rules: 58
% New rule produced :
% [65]
% ld(ld(A,B) mult C,(A mult C) mult ld(A,B)) <->
% ld(ld(A,B),ld(ld(A,B) mult C,(B mult C) mult ld(A,B)))
% Current number of equations to process: 632
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [66]
% ld(ld(A mult B,C) mult A,(ld(A mult B,C) mult B) mult A) ->
% ld(A,ld(ld(A mult B,C) mult A,A mult C))
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [67]
% ld(ld(A,B) mult C,(((A mult C) mult C) mult ld(A,B)) mult C) <->
% (ld(ld(A,B) mult C,B mult C) mult C) mult C
% Current number of equations to process: 631
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [68]
% (ld(ld(A,B) mult C,B mult C) mult C) mult C <->
% ld(ld(A,B) mult C,(((A mult C) mult C) mult ld(A,B)) mult C)
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [69]
% ld(ld(ld(A,B),C) mult A,A mult C) mult A <->
% ld(ld(ld(A,B),C) mult A,(ld(ld(A,B),C) mult B) mult A)
% Current number of equations to process: 630
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [70]
% ld(ld(ld(A,B),C) mult A,(ld(ld(A,B),C) mult B) mult A) <->
% ld(ld(ld(A,B),C) mult A,A mult C) mult A
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [71]
% ld(ld(ld(A,B) mult C,B mult C) mult C,((A mult C) mult ld(A,B)) mult C) ->
% ld(A,B) mult C
% Current number of equations to process: 629
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [72]
% (ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C)) mult (A mult B)
% -> (A mult C) mult B
% Current number of equations to process: 626
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [73]
% ((ld(A,B) mult C) mult A) mult ld(A,unit) ->
% ((A mult C) mult ld(A,unit)) mult (ld(A,unit) mult B)
% Current number of equations to process: 727
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [74]
% ld(A,((ld(B,unit) mult C) mult B) mult ld(B,A)) <->
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A))
% Current number of equations to process: 764
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [75]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) <->
% ld(A,((ld(B,unit) mult C) mult B) mult ld(B,A))
% Current number of equations to process: 764
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [76]
% ld(A,((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A)) <->
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D)
% Current number of equations to process: 763
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [77]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D) <->
% ld(A,((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A))
% Current number of equations to process: 763
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [78]
% ld(A mult B,((ld(A,unit) mult ld(A,C)) mult A) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B)
% Current number of equations to process: 891
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [79]
% ld(A mult B,B mult C) mult ld(A mult B,B) <->
% ld(A mult B,((ld(A,unit) mult ld(A,C)) mult A) mult B)
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [80]
% ld(A mult A,((A mult B) mult ld(A,unit)) mult A) ->
% ld(A mult A,(A mult B) mult A) mult ld(A mult A,A)
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [81]
% ld(C,(((A mult B) mult C) mult ld(A mult C,C)) mult (A mult C)) ->
% ((ld(A,unit) mult B) mult A) mult (A mult C)
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [82] ld(A,(A mult A) mult (A mult B)) -> (A mult A) mult B
% Current number of equations to process: 1250
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [83] (ld(A mult A,B) mult A) mult (A mult A) -> A mult B
% Current number of equations to process: 1249
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [84] ld((A mult A) mult B,(A mult A) mult (A mult B)) -> A
% Current number of equations to process: 1248
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [85]
% (((A mult A) mult A) mult B) mult A -> ((A mult A) mult A) mult (A mult B)
% Rule
% [45] ld(A mult B,(((A mult A) mult A) mult B) mult A) -> (A mult A) mult A
% collapsed.
% Current number of equations to process: 1283
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [86] ld(ld(A mult A,unit) mult A,A) -> A mult A
% Current number of equations to process: 1351
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [87] ld(ld(A mult A,ld(A,B)) mult A,B) -> A mult A
% Current number of equations to process: 1350
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [88] ld(A mult A,B) mult A -> ld(A mult A,A mult B)
% Rule [36] ld(ld(A mult A,B) mult A,A mult B) -> A mult A collapsed.
% Rule [57] ld(A mult A,A mult B) mult A -> ld(A mult A,(A mult B) mult A)
% collapsed.
% Rule [83] (ld(A mult A,B) mult A) mult (A mult A) -> A mult B collapsed.
% Rule [86] ld(ld(A mult A,unit) mult A,A) -> A mult A collapsed.
% Rule [87] ld(ld(A mult A,ld(A,B)) mult A,B) -> A mult A collapsed.
% Current number of equations to process: 1353
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [89]
% ld(A mult B,(((A mult A) mult (A mult A)) mult B) mult A) ->
% (A mult A) mult (A mult A)
% Current number of equations to process: 1352
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [90]
% (A mult A) mult ld(A mult B,(B mult C) mult A) <->
% ld(A mult B,(((A mult A) mult C) mult B) mult A)
% Current number of equations to process: 1350
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [91]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) <->
% (A mult A) mult ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 1350
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [92]
% ld(A mult B,((B mult B) mult B) mult A) mult A <->
% ld(A mult B,((A mult B) mult (B mult B)) mult A)
% Current number of equations to process: 1349
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [93]
% ld(A mult B,((A mult B) mult (B mult B)) mult A) <->
% ld(A mult B,((B mult B) mult B) mult A) mult A
% Current number of equations to process: 1349
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [94]
% (A mult A) mult ld((A mult A) mult A,A mult B) ->
% ld((A mult A) mult A,(A mult A) mult (A mult B))
% Current number of equations to process: 1348
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [95]
% (((A mult A) mult A) mult (A mult A)) mult (A mult A) ->
% ((A mult A) mult (A mult A)) mult ((A mult A) mult A)
% Current number of equations to process: 1347
% Current number of ordered equations: 0
% Current number of rules: 83
% Rule [52]
% ld(A,(ld(B,A) mult C) mult B) <->
% ld(A,(ld(B,A) mult ld(B,A)) mult B) mult ld(A,B mult C) is composed into 
% [52]
% ld(A,(ld(B,A) mult C) mult B) <->
% ld(A,B mult C) mult ld(B,ld(A,(ld(B,A) mult A) mult B))
% New rule produced :
% [96]
% ld(B,(ld(A,B) mult ld(A,C)) mult A) -> ld(A,ld(B,(ld(A,B) mult C) mult A))
% Rule
% [53]
% ld(A,(ld(B,A) mult ld(B,A)) mult B) mult ld(A,B mult C) <->
% ld(A,(ld(B,A) mult C) mult B) collapsed.
% Current number of equations to process: 1352
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [97]
% ld(A,ld(A mult B,((A mult B) mult (B mult B)) mult A)) ->
% ld(A mult B,((B mult B) mult B) mult A)
% Current number of equations to process: 1351
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [98]
% ld(A mult B,(A mult A) mult A) mult ld(A mult B,(B mult B) mult A) ->
% A mult A
% Current number of equations to process: 1350
% Current number of ordered equations: 0
% Current number of rules: 85
% Rule [81]
% ld(C,(((A mult B) mult C) mult ld(A mult C,C)) mult (A mult C)) ->
% ((ld(A,unit) mult B) mult A) mult (A mult C) is composed into [81]
% ld(C,
% ((
% (A mult B) mult C) mult 
% ld(
% A mult C,C)) mult 
% (A mult C))
% ->
% ((A mult B) mult 
% ld(A,unit)) mult 
% (A mult C)
% Rule [79]
% ld(A mult B,B mult C) mult ld(A mult B,B) <->
% ld(A mult B,((ld(A,unit) mult ld(A,C)) mult A) mult B) is composed into 
% [79]
% ld(A mult B,B mult C) mult ld(A mult B,B) <->
% ld(A mult B,((ld(A,C) mult A) mult ld(A,unit)) mult B)
% Rule [75]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) <->
% ld(A,((ld(B,unit) mult C) mult B) mult ld(B,A)) is composed into 
% [75]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) <->
% ld(A,((B mult C) mult ld(B,unit)) mult ld(B,A))
% Rule [31]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,((ld(B,unit) mult C) mult B) mult A) is composed into 
% [31]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,((B mult C) mult ld(B,unit)) mult A)
% New rule produced :
% [99] (ld(A,unit) mult B) mult A -> (A mult B) mult ld(A,unit)
% Rule
% [32]
% ld(A mult B,((ld(B,unit) mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) collapsed.
% Rule
% [38]
% ((ld(A,unit) mult B) mult A) mult A -> ((A mult B) mult ld(A,unit)) mult A
% collapsed.
% Rule
% [74]
% ld(A,((ld(B,unit) mult C) mult B) mult ld(B,A)) <->
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) collapsed.
% Rule
% [78]
% ld(A mult B,((ld(A,unit) mult ld(A,C)) mult A) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B) collapsed.
% Rule
% [80]
% ld(A mult A,((A mult B) mult ld(A,unit)) mult A) ->
% ld(A mult A,(A mult B) mult A) mult ld(A mult A,A) collapsed.
% Current number of equations to process: 1356
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [100] ld(A,ld(A mult A,(A mult B) mult A)) -> ld(A mult A,A mult B)
% Current number of equations to process: 1404
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [101]
% (A mult B) mult ld(A,ld(A mult B,(B mult C) mult A)) <->
% (ld(A,C) mult B) mult A
% Current number of equations to process: 1403
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [102]
% (ld(A,C) mult B) mult A <->
% (A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))
% Current number of equations to process: 1403
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [103]
% ld(A,(ld(ld(B,A),C) mult B) mult ld(B,A)) ->
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A)))
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [104]
% ld(A,(ld(A mult B,A mult C) mult A) mult (A mult B)) ->
% (ld(B,C) mult A) mult B
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [105]
% ld(ld(A,ld(A mult B,(B mult C) mult A)),(ld(A,C) mult B) mult A) -> A mult B
% Current number of equations to process: 1474
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [106]
% ld(A,ld((A mult A) mult A,(A mult A) mult (A mult B))) ->
% ld((A mult A) mult A,(A mult A) mult B)
% Current number of equations to process: 1473
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [107]
% ld(A mult B,(ld(A,unit) mult C) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B)
% Current number of equations to process: 1594
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [108]
% ld(A mult B,B mult C) mult ld(A mult B,B) <->
% ld(A mult B,(ld(A,unit) mult C) mult B)
% Rule
% [31]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,((B mult C) mult ld(B,unit)) mult A) collapsed.
% Current number of equations to process: 1594
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [109]
% ld(A mult A,(A mult B) mult A) mult ld(A mult A,A) ->
% ld(A mult A,((A mult B) mult A) mult ld(A,unit))
% Current number of equations to process: 1593
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [110]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(A mult B,(B mult B) mult A)
% Current number of equations to process: 1592
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [111]
% ld((ld(A,B) mult C) mult A,(ld(A mult C,B mult C) mult C) mult (A mult C)) ->
% C
% Current number of equations to process: 1591
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [112]
% ld((A mult A) mult A,(A mult A) mult (A mult B)) mult A ->
% ld((A mult A) mult A,((A mult B) mult A) mult (A mult A))
% Current number of equations to process: 1725
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [113]
% ld(A mult B,((((B mult B) mult C) mult A) mult B) mult A) ->
% ld(A mult B,((B mult B) mult (B mult C)) mult A) mult A
% Current number of equations to process: 1725
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [114]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) mult A ->
% ld(A mult B,(((A mult A) mult (A mult C)) mult B) mult A)
% Current number of equations to process: 1723
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [115]
% ((((A mult A) mult (A mult A)) mult B) mult A) mult (A mult A) ->
% (((A mult A) mult (A mult A)) mult ((A mult A) mult B)) mult A
% Current number of equations to process: 1722
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [116]
% (ld(ld(A,unit) mult B,B) mult B) mult (ld(A,unit) mult B) ->
% ((A mult B) mult ld(A,unit)) mult B
% Current number of equations to process: 1811
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [117]
% (((ld(A,C) mult B) mult B) mult A) mult B ->
% ((ld(A mult B,B mult C) mult B) mult B) mult (A mult B)
% Rule
% [46]
% ld(A mult B,(((ld(A,C) mult B) mult B) mult A) mult B) ->
% (ld(A mult B,B mult C) mult B) mult B collapsed.
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [118]
% (((A mult A) mult (A mult A)) mult B) mult A ->
% ((A mult A) mult (A mult A)) mult (A mult B)
% Rule
% [89]
% ld(A mult B,(((A mult A) mult (A mult A)) mult B) mult A) ->
% (A mult A) mult (A mult A) collapsed.
% Rule
% [115]
% ((((A mult A) mult (A mult A)) mult B) mult A) mult (A mult A) ->
% (((A mult A) mult (A mult A)) mult ((A mult A) mult B)) mult A collapsed.
% Current number of equations to process: 2105
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [119]
% ld(A mult B,((ld(A,B) mult C) mult A) mult A) mult A ->
% ld(A mult B,(((A mult C) mult ld(A,B)) mult A) mult A)
% Current number of equations to process: 2154
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [120]
% ld(A mult B,((((A mult A) mult A) mult (A mult A)) mult B) mult A) ->
% ((A mult A) mult A) mult (A mult A)
% Current number of equations to process: 2481
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [121] ld(A,B) mult ld(B,ld(A,(ld(B,A) mult A) mult B)) -> unit
% Current number of equations to process: 2689
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [122] ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,A mult A) -> A
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [123]
% (ld(A,B mult C) mult ld(B,ld(A,(ld(B,A) mult A) mult B))) mult A ->
% (ld(B,A) mult C) mult B
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [124]
% ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,(A mult A) mult A) -> A mult A
% Current number of equations to process: 2731
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [125] ld(A,(B mult B) mult ld(B,A)) mult ld(A,ld(B,A)) -> unit
% Current number of equations to process: 2773
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [126]
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,C)
% Current number of equations to process: 2772
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [127]
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,C) <->
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A)))
% Rule [125] ld(A,(B mult B) mult ld(B,A)) mult ld(A,ld(B,A)) -> unit
% collapsed.
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [128]
% ld(A,(B mult B) mult ld(B,A)) <->
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A)))
% Current number of equations to process: 2771
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [129]
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,(B mult B) mult ld(B,A))
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [130]
% ld(ld(A,(B mult B) mult ld(B,A)),ld(A,(B mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C)
% Current number of equations to process: 2770
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [131]
% ((A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) ->
% (A mult B) mult ld(A,unit)
% Current number of equations to process: 2781
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [132]
% ld(ld(A mult B,ld(A,C) mult B),ld(A mult B,B mult C)) <->
% ld(A mult B,(A mult A) mult B)
% Current number of equations to process: 2939
% Current number of ordered equations: 3
% Current number of rules: 109
% New rule produced :
% [133]
% ld(A mult B,ld(A,C) mult B) <->
% ld(ld(A mult B,(A mult A) mult B),ld(A mult B,B mult C))
% Current number of equations to process: 2939
% Current number of ordered equations: 2
% Current number of rules: 110
% Rule [133]
% ld(A mult B,ld(A,C) mult B) <->
% ld(ld(A mult B,(A mult A) mult B),ld(A mult B,B mult C)) is composed into 
% [133]
% ld(A mult B,ld(A,C) mult B) <->
% ld(ld(ld(A mult B,ld(A,b) mult B),ld(A mult B,b mult B)),ld(A mult B,
% B mult C))
% Rule [132]
% ld(ld(A mult B,ld(A,C) mult B),ld(A mult B,B mult C)) <->
% ld(A mult B,(A mult A) mult B) is composed into [132]
% ld(ld(A mult B,ld(A,C) mult B),
% ld(A mult B,B mult C))
% <->
% ld(ld(A mult B,ld(A,b) mult B),
% ld(A mult B,b mult B))
% Rule [110]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(A mult B,(B mult B) mult A) is composed into [110]
% ld(A mult B,((B mult B) mult B) mult A) mult 
% ld(A mult B,A) ->
% ld(ld(A mult B,ld(B,b) mult A),
% ld(A mult B,b mult A))
% Rule [61]
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) <->
% ld(A mult B,(A mult A) mult B) is composed into [61]
% ld(ld(A mult B,B mult C),
% ld(A mult B,(A mult C) mult B))
% ->
% ld(ld(A mult B,ld(A,b) mult B),
% ld(A mult B,b mult B))
% Rule [58]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,(B mult B) mult A) mult ld(A mult B,C) is composed into 
% [58]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,C) mult ld(ld(A mult B,ld(B,b) mult A),ld(A mult B,b mult A))
% Rule [25]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C) is composed into 
% [25]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,B mult C) mult ld(ld(A mult B,ld(A,b) mult B),ld(A mult B,
% b mult B))
% New rule produced :
% [134]
% ld(A mult B,(A mult A) mult B) <->
% ld(ld(A mult B,ld(A,C) mult B),ld(A mult B,B mult C))
% Rule
% [26]
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C) <->
% ld(A mult B,(A mult C) mult B) collapsed.
% Rule
% [55]
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,ld(A,C) mult B) ->
% ld(A mult B,B mult C) collapsed.
% Rule
% [59]
% ld(A mult B,(B mult B) mult A) mult ld(A mult B,C) <->
% ld(A,ld(A mult B,(B mult C) mult A)) collapsed.
% Rule
% [60]
% ld(A mult B,(A mult A) mult B) <->
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) collapsed.
% Rule
% [62]
% ld(ld(A mult B,(A mult A) mult B),ld(A mult B,(A mult C) mult B)) ->
% ld(A mult B,B mult C) collapsed.
% Rule
% [72]
% (ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C)) mult (A mult B)
% -> (A mult C) mult B collapsed.
% Rule
% [98]
% ld(A mult B,(A mult A) mult A) mult ld(A mult B,(B mult B) mult A) ->
% A mult A collapsed.
% Current number of equations to process: 2945
% Current number of ordered equations: 0
% Current number of rules: 104
% Rule [133]
% ld(A mult B,ld(A,C) mult B) <->
% ld(ld(ld(A mult B,ld(A,b) mult B),ld(A mult B,b mult B)),ld(A mult B,
% B mult C)) is composed into 
% [133]
% ld(A mult B,ld(A,C) mult B) ->
% ld(ld(ld(A mult B,B),unit),ld(A mult B,B mult C))
% Rule [132]
% ld(ld(A mult B,ld(A,C) mult B),ld(A mult B,B mult C)) <->
% ld(ld(A mult B,ld(A,b) mult B),ld(A mult B,b mult B)) is composed into 
% [132]
% ld(ld(A mult B,ld(A,C) mult B),ld(A mult B,B mult C)) ->
% ld(ld(A mult B,B),unit)
% Rule [110]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(ld(A mult B,ld(B,b) mult A),ld(A mult B,b mult A)) is composed into 
% [110]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(ld(A mult B,A),unit)
% Rule [61]
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) ->
% ld(ld(A mult B,ld(A,b) mult B),ld(A mult B,b mult B)) is composed into 
% [61]
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) ->
% ld(ld(A mult B,B),unit)
% Rule [58]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,C) mult ld(ld(A mult B,ld(B,b) mult A),ld(A mult B,b mult A)) is composed into 
% [58]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,C) mult ld(ld(A mult B,A),unit)
% Rule [25]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,B mult C) mult ld(ld(A mult B,ld(A,b) mult B),ld(A mult B,
% b mult B)) is composed into 
% [25]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,B mult C) mult ld(ld(A mult B,B),unit)
% New rule produced :
% [135]
% ld(ld(A mult B,ld(A,b) mult B),ld(A mult B,b mult B)) ->
% ld(ld(A mult B,B),unit)
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [136] ld(ld(A mult B,B mult B),B) -> ld(ld(A mult B,B),unit)
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [137]
% ld(ld(A,B mult C),ld(A,(ld(B,A) mult C) mult B)) ->
% ld(ld(A,ld(ld(B,A),b) mult B),ld(A,b mult B))
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [138] ld(ld(A mult A,A),unit) -> A
% Current number of equations to process: 3113
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [139]
% ld(ld(ld(A mult B,B),unit),ld(A mult B,(A mult C) mult B)) ->
% ld(A mult B,B mult C)
% Current number of equations to process: 3112
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [140] ld(ld(A mult B,(A mult A) mult A),A mult A) -> ld(ld(A mult B,A),unit)
% Current number of equations to process: 3184
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [141]
% ld(A mult B,((A mult B) mult A) mult B) -> ld(ld(A mult B,B),unit) mult B
% Current number of equations to process: 3261
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [142]
% ld(B,(A mult A) mult ld(A,B)) <-> ld(ld(A,B),ld(B,(A mult B) mult ld(A,B)))
% Current number of equations to process: 3260
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [143]
% ld(ld(A,B),ld(B,(A mult B) mult ld(A,B))) <-> ld(B,(A mult A) mult ld(A,B))
% Current number of equations to process: 3260
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [144] ((A mult A) mult ld(A,unit)) mult ld(A,unit) -> unit
% Current number of equations to process: 3269
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [145] ld(ld(A,unit) mult B,(A mult B) mult ld(A,unit)) -> A
% Current number of equations to process: 3393
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [146]
% ld(ld(A mult B,A),ld(A mult B,((B mult C) mult ld(B,unit)) mult A)) ->
% ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 3395
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [147]
% ld(A mult B,(ld(ld(B,unit),C) mult B) mult A) mult ld(A mult B,A) ->
% ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 3393
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [148]
% (ld(A mult B,(B mult C) mult A) mult ld(A mult B,A)) mult (A mult B) ->
% ((B mult C) mult ld(B,unit)) mult A
% Current number of equations to process: 3393
% Current number of ordered equations: 0
% Current number of rules: 118
% Rule [90]
% (A mult A) mult ld(A mult B,(B mult C) mult A) <->
% ld(A mult B,(((A mult A) mult C) mult B) mult A) is composed into 
% [90]
% (A mult A) mult ld(A mult B,(B mult C) mult A) <->
% ld(A mult B,(A mult A) mult (A mult C)) mult ld(ld(A mult B,A),unit)
% New rule produced :
% [149]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) ->
% ld(A mult B,(A mult A) mult (A mult C)) mult ld(ld(A mult B,A),unit)
% Rule
% [91]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) <->
% (A mult A) mult ld(A mult B,(B mult C) mult A) collapsed.
% Rule
% [114]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) mult A ->
% ld(A mult B,(((A mult A) mult (A mult C)) mult B) mult A) collapsed.
% Rule
% [120]
% ld(A mult B,((((A mult A) mult A) mult (A mult A)) mult B) mult A) ->
% ((A mult A) mult A) mult (A mult A) collapsed.
% Current number of equations to process: 3394
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [150]
% ld(ld(A,B),ld(C,(ld(ld(A,B),C) mult B) mult ld(A,B))) <->
% ld(C,(ld(ld(A,B),C) mult A) mult ld(A,B))
% Current number of equations to process: 3393
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [151]
% ld(C,(ld(ld(A,B),C) mult A) mult ld(A,B)) <->
% ld(ld(A,B),ld(C,(ld(ld(A,B),C) mult B) mult ld(A,B)))
% Current number of equations to process: 3393
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [152]
% ld(A,ld(B,(((A mult A) mult (A mult C)) mult ld(A,B)) mult A)) ->
% ld(B,(((A mult A) mult C) mult ld(A,B)) mult A)
% Current number of equations to process: 3392
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [153]
% ld(A,ld((A mult B) mult A,(((A mult C) mult B) mult A) mult A)) ->
% ld((A mult B) mult A,((B mult C) mult A) mult A)
% Current number of equations to process: 3391
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [154]
% ld((A mult B) mult A,((ld(A,C) mult B) mult A) mult A) mult A ->
% ld((A mult B) mult A,((B mult C) mult A) mult A)
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [155]
% ld(A mult B,((((ld(A,C) mult B) mult B) mult B) mult A) mult B) ->
% ((ld(A mult B,B mult C) mult B) mult B) mult B
% Current number of equations to process: 3389
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [156]
% ld(A,ld(ld(C,A),B) mult C) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) ->
% ld(A,B mult C)
% Current number of equations to process: 3388
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [157] ld(A,ld(ld((A mult A) mult A,B) mult A,A mult B)) -> A mult A
% Current number of equations to process: 3684
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [158]
% ld(ld(ld(A,B),unit) mult A,A) mult A <->
% ld(ld(ld(A,B),unit) mult A,(ld(ld(A,B),unit) mult B) mult A)
% Current number of equations to process: 4100
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [159]
% ld(ld(ld(A,B),unit) mult A,(ld(ld(A,B),unit) mult B) mult A) <->
% ld(ld(ld(A,B),unit) mult A,A) mult A
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [160] ld(ld(ld(A,unit),B) mult A,A mult B) mult A -> unit
% Current number of equations to process: 4289
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [161]
% ld(A mult B,(((ld(B,A) mult C) mult B) mult B) mult A) ->
% ld(A mult B,((B mult C) mult ld(B,A)) mult B) mult A
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [162]
% ld(ld(ld(A,unit) mult B,B) mult B,((A mult B) mult ld(A,unit)) mult B) ->
% ld(A,unit) mult B
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [163]
% ((A mult B) mult C) mult ld(C,unit) <->
% ((A mult C) mult ld(C,unit)) mult ((B mult C) mult ld(C,unit))
% Current number of equations to process: 4553
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [164]
% ((A mult C) mult ld(C,unit)) mult ((B mult C) mult ld(C,unit)) <->
% ((A mult B) mult C) mult ld(C,unit)
% Current number of equations to process: 4553
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [165]
% ((ld(ld(A,C),B) mult A) mult ld(A,unit)) mult (ld(A,unit) mult C) ->
% (A mult B) mult ld(A,unit)
% Current number of equations to process: 4552
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [166]
% (ld(A,C) mult B) mult A <->
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C))
% Current number of equations to process: 4551
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [167]
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C)) <->
% (ld(A,C) mult B) mult A
% Current number of equations to process: 4551
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [168]
% ((ld(ld(A,unit),B) mult C) mult A) mult ld(A,unit) ->
% ((A mult C) mult ld(A,unit)) mult (A mult B)
% Current number of equations to process: 4574
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [169]
% ((A mult A) mult B) mult ld(A,unit) <->
% (((A mult A) mult A) mult ld(A,unit)) mult (ld(A,unit) mult B)
% Current number of equations to process: 4643
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [170]
% (((A mult A) mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) <->
% ((A mult A) mult B) mult ld(A,unit)
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [171]
% (((ld(A,C) mult B) mult A) mult A) mult ld(A,unit) ->
% (((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C)) mult A
% Current number of equations to process: 4716
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [172]
% ld(A,(ld(B,unit) mult C) mult ld(B,A)) <->
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A))
% Current number of equations to process: 4732
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [173]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A)) <->
% ld(A,(ld(B,unit) mult C) mult ld(B,A))
% Rule
% [75]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) <->
% ld(A,((B mult C) mult ld(B,unit)) mult ld(B,A)) collapsed.
% Current number of equations to process: 4732
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [174]
% ld((ld(A,B) mult C) mult A,((A mult C) mult ld(A,unit)) mult (ld(A,unit) mult B))
% -> ld(A,unit)
% Current number of equations to process: 4731
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [175] ld(A,unit) mult ld(A,B) -> ld(A,ld(A,unit) mult B)
% The conjecture has been reduced. 
% Conjecture is now:
% (b mult b) mult (a mult a) = ld(ld(b mult a,b) mult ld(b mult a,a),ld(
% ld(
% b mult a,b) mult 
% ld(
% b mult a,a),unit))
% 
% Current number of equations to process: 3371
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [176] ld(A,(ld(ld(B,A),unit) mult C) mult B) -> ld(A,B mult C) mult ld(A,B)
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [177]
% ld(A mult B,((A mult B) mult ld(A,unit)) mult B) -> ld(A mult B,B) mult B
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [178]
% ld(A mult B,A) mult ld(A mult B,A) ->
% ld(ld(ld(A mult B,A),unit),ld(A mult B,A))
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [179]
% ld(A mult B,(ld(A,C) mult ld(B,unit)) mult A) ->
% ld(A mult B,A) mult ld(A mult B,C)
% Current number of equations to process: 3373
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [180]
% ld(ld(A mult B,B),ld(A mult B,(ld(A,unit) mult C) mult B)) ->
% ld(A mult B,B mult C)
% Rule
% [146]
% ld(ld(A mult B,A),ld(A mult B,((B mult C) mult ld(B,unit)) mult A)) ->
% ld(A mult B,(B mult C) mult A) collapsed.
% Current number of equations to process: 3372
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [181]
% ld(ld(A mult B,B mult C),ld(A mult B,(ld(A,unit) mult C) mult B)) ->
% ld(A mult B,B)
% Current number of equations to process: 3371
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [182]
% ld(C,((B mult C) mult ld(A mult C,C)) mult (A mult C)) ->
% (ld(A,unit) mult B) mult (A mult C)
% Rule
% [81]
% ld(C,(((A mult B) mult C) mult ld(A mult C,C)) mult (A mult C)) ->
% ((A mult B) mult ld(A,unit)) mult (A mult C) collapsed.
% Current number of equations to process: 3407
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [183]
% ld(A mult C,ld(C,(ld(A mult C,C) mult C) mult (A mult C))) mult B ->
% ld(A,unit) mult B
% Current number of equations to process: 3555
% Current number of ordered equations: 0
% Current number of rules: 147
% Rule [143]
% ld(ld(A,B),ld(B,(A mult B) mult ld(A,B))) <->
% ld(B,(A mult A) mult ld(A,B)) is composed into [143]
% ld(ld(A,B),ld(B,(A mult B) mult 
% ld(A,B)))
% <->
% ld(B,ld(A,(A mult A) mult B))
% Rule [129]
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,(B mult B) mult ld(B,A)) is composed into [129]
% ld(ld(A,ld(B,A) mult C),
% ld(A,(B mult C) mult 
% ld(B,A))) <->
% ld(A,ld(B,(B mult B) mult A))
% Rule [126]
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,C) is composed into [126]
% ld(ld(B,A),
% ld(A,
% (B mult C) mult 
% ld(B,A)))
% <->
% ld(A,
% ld(B,
% (B mult B) mult A)) mult 
% ld(A,C)
% New rule produced : [184] (A mult A) mult ld(A,B) -> ld(A,(A mult A) mult B)
% Rule
% [54]
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,ld(B,A) mult C) ->
% ld(A,(B mult C) mult ld(B,A)) collapsed.
% Rule
% [63]
% ld(A,B) mult ld(B,(A mult A) mult ld(A,B)) -> ld(B,(A mult B) mult ld(A,B))
% collapsed.
% Rule
% [127]
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,C) <->
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A))) collapsed.
% Rule
% [128]
% ld(A,(B mult B) mult ld(B,A)) <->
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A))) collapsed.
% Rule
% [130]
% ld(ld(A,(B mult B) mult ld(B,A)),ld(A,(B mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C) collapsed.
% Rule
% [131]
% ((A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) ->
% (A mult B) mult ld(A,unit) collapsed.
% Rule
% [142]
% ld(B,(A mult A) mult ld(A,B)) <-> ld(ld(A,B),ld(B,(A mult B) mult ld(A,B)))
% collapsed.
% Rule [144] ((A mult A) mult ld(A,unit)) mult ld(A,unit) -> unit collapsed.
% Current number of equations to process: 3612
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [185]
% ld(A,B) mult ld(B,ld(A,(A mult A) mult B)) -> ld(B,(A mult B) mult ld(A,B))
% Current number of equations to process: 3611
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [186]
% ld(ld(A,B),(ld(A,B) mult ld(A,B)) mult B) <-> (ld(A,B) mult ld(A,B)) mult A
% Current number of equations to process: 3609
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [187]
% (ld(A,B) mult ld(A,B)) mult A <-> ld(ld(A,B),(ld(A,B) mult ld(A,B)) mult B)
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [188]
% ld(A,((A mult A) mult (A mult B)) mult (A mult A)) ->
% ((A mult A) mult B) mult (A mult A)
% Current number of equations to process: 3673
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [189] ld(ld(A mult A,b),ld(A mult A,b mult A)) -> A
% Current number of equations to process: 3683
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [190]
% (((A mult A) mult A) mult B) mult (A mult A) ->
% ((A mult A) mult A) mult ((A mult A) mult B)
% Rule
% [95]
% (((A mult A) mult A) mult (A mult A)) mult (A mult A) ->
% ((A mult A) mult (A mult A)) mult ((A mult A) mult A) collapsed.
% Current number of equations to process: 3705
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [191]
% ((A mult A) mult (A mult A)) mult (A mult A) ->
% ((A mult A) mult A) mult ((A mult A) mult A)
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [192] ld(ld((A mult A) mult A,A mult A),unit) -> A
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [193] ld((A mult A) mult A,A) mult A -> ld(A mult A,A)
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [194] ld((A mult A) mult (A mult A),(A mult A) mult A) -> ld(A mult A,A)
% Current number of equations to process: 3751
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [195] ld((A mult A) mult A,A mult A) mult A -> unit
% Current number of equations to process: 3776
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [196] ld((A mult A) mult (A mult A),A mult A) mult A -> ld(A mult A,A)
% Current number of equations to process: 3775
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [197] ld(A,((A mult A) mult A) mult (A mult B)) -> ((A mult A) mult A) mult B
% Current number of equations to process: 3787
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [198] ((A mult A) mult A) mult (ld((A mult A) mult A,B) mult A) -> A mult B
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [199] ld(((A mult A) mult A) mult B,((A mult A) mult A) mult (A mult B)) -> A
% Current number of equations to process: 3785
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [200]
% ld(ld(((A mult A) mult A) mult (A mult A),(A mult A) mult A),unit) ->
% A mult A
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [201]
% ld(ld((A mult A) mult B,(A mult A) mult A),A) ->
% ld(ld((A mult A) mult B,A mult A),unit)
% Current number of equations to process: 3783
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [202] ld(A,ld(A mult A,A mult B)) -> ld(A mult A,B)
% Rule [100] ld(A,ld(A mult A,(A mult B) mult A)) -> ld(A mult A,A mult B)
% collapsed.
% Current number of equations to process: 3951
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [203] ld(ld(A mult A,B),ld(A mult A,A mult B)) -> A
% Rule [189] ld(ld(A mult A,b),ld(A mult A,b mult A)) -> A collapsed.
% Current number of equations to process: 3950
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [204] ld(A mult B,(A mult A) mult A) mult ld(ld(A mult B,A),unit) -> A mult A
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [205]
% ld((A mult A) mult A,(A mult A) mult B) mult A ->
% ld((A mult A) mult A,(A mult A) mult (A mult B))
% Rule
% [112]
% ld((A mult A) mult A,(A mult A) mult (A mult B)) mult A ->
% ld((A mult A) mult A,((A mult B) mult A) mult (A mult A)) collapsed.
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [206]
% ((((A mult A) mult A) mult (A mult A)) mult B) mult A ->
% (((A mult A) mult A) mult (A mult A)) mult (A mult B)
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [207]
% ld((ld(A,B) mult ld(A,B)) mult A,(ld(A,B) mult ld(A,B)) mult B) -> ld(A,B)
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [208]
% ld(A,((A mult A) mult (A mult B)) mult ((A mult A) mult A)) ->
% ((A mult A) mult A) mult ((A mult A) mult B)
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [209]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,(B mult B) mult A)) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [210]
% ld(((A mult A) mult B) mult (A mult A),((A mult A) mult (A mult B)) mult 
% (A mult A)) -> A
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [211]
% ld((A mult A) mult B,A) mult ld(ld((A mult A) mult B,A mult A),unit) ->
% ld(A mult A,A)
% Current number of equations to process: 4118
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [212]
% ld(A mult A,ld((A mult A) mult ld((A mult A) mult A,B),(A mult A) mult B)) ->
% A
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [213]
% ld(A mult B,(A mult A) mult (A mult A)) mult ld(ld(A mult B,A),unit) ->
% (A mult A) mult A
% Current number of equations to process: 4116
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [214]
% ld(A mult A,ld((A mult A) mult A,(A mult A) mult (A mult B))) ->
% ld((A mult A) mult A,A mult B)
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [215]
% (A mult A) mult ld(B,(ld(A,B) mult C) mult A) ->
% ld(ld(B,A),unit) mult ld(B,(A mult A) mult (A mult C))
% Current number of equations to process: 4114
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [216]
% ld(A,B) mult ld(B,((A mult A) mult A) mult ld(A,B)) ->
% ld(B,((A mult A) mult B) mult ld(A,B))
% Current number of equations to process: 4423
% Current number of ordered equations: 0
% Current number of rules: 168
% Rule [92]
% ld(A mult B,((B mult B) mult B) mult A) mult A <->
% ld(A mult B,((A mult B) mult (B mult B)) mult A) is composed into 
% [92]
% ld(A mult B,((B mult B) mult B) mult A) mult A ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A
% New rule produced :
% [217]
% ld(A mult B,((A mult B) mult (B mult B)) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A
% Rule
% [93]
% ld(A mult B,((A mult B) mult (B mult B)) mult A) <->
% ld(A mult B,((B mult B) mult B) mult A) mult A collapsed.
% Rule
% [97]
% ld(A,ld(A mult B,((A mult B) mult (B mult B)) mult A)) ->
% ld(A mult B,((B mult B) mult B) mult A) collapsed.
% Current number of equations to process: 4619
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [218] (A mult A) mult ld((A mult A) mult A,A) -> unit
% Current number of equations to process: 4632
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [219]
% (A mult A) mult ld((A mult A) mult A,B) ->
% ld((A mult A) mult A,(A mult A) mult B)
% Rule
% [94]
% (A mult A) mult ld((A mult A) mult A,A mult B) ->
% ld((A mult A) mult A,(A mult A) mult (A mult B)) collapsed.
% Rule
% [212]
% ld(A mult A,ld((A mult A) mult ld((A mult A) mult A,B),(A mult A) mult B)) ->
% A collapsed.
% Rule [218] (A mult A) mult ld((A mult A) mult A,A) -> unit collapsed.
% Current number of equations to process: 4634
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [220]
% ld(A,ld(B,(ld(A,B) mult C) mult A)) mult B -> (ld(A,B) mult ld(A,C)) mult A
% Current number of equations to process: 4642
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [221] ((A mult A) mult (A mult A)) mult ld(A,unit) -> (A mult A) mult A
% Current number of equations to process: 4731
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [222] ld(A,(A mult B) mult ld(A,unit)) -> ld(A,unit) mult B
% Current number of equations to process: 4752
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [223] (ld(ld(A,unit),B) mult A) mult ld(A,unit) -> A mult B
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [224] ld(A mult B,unit) mult ld(ld(A mult B,A),unit) -> ld(A,unit)
% Current number of equations to process: 4802
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [225]
% (ld(A mult B,B) mult B) mult (A mult B) ->
% ((A mult B) mult ld(A,unit)) mult B
% Rule
% [116]
% (ld(ld(A,unit) mult B,B) mult B) mult (ld(A,unit) mult B) ->
% ((A mult B) mult ld(A,unit)) mult B collapsed.
% Rule
% [183]
% ld(A mult C,ld(C,(ld(A mult C,C) mult C) mult (A mult C))) mult B ->
% ld(A,unit) mult B collapsed.
% Current number of equations to process: 4819
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [226] ld(ld(ld(A,ld(A,unit)),B) mult A,A mult B) mult A -> ld(A,unit)
% Current number of equations to process: 4866
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [227] ((A mult A) mult A) mult ld(A mult A,unit) -> A
% Current number of equations to process: 4877
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [228]
% ld(A,((A mult B) mult ld(A,unit)) mult (A mult A)) ->
% (ld(A,unit) mult B) mult (A mult A)
% Current number of equations to process: 4889
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [229]
% ((ld(A mult A,unit) mult B) mult A) mult (A mult A) ->
% (((A mult A) mult B) mult ld(A mult A,unit)) mult A
% Current number of equations to process: 4888
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [230]
% ld(A,B) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) <->
% ld(C,ld(A,(ld(C,A) mult B) mult C))
% Rule [121] ld(A,B) mult ld(B,ld(A,(ld(B,A) mult A) mult B)) -> unit
% collapsed.
% Rule [122] ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,A mult A) -> A
% collapsed.
% Current number of equations to process: 4910
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [231]
% ld(C,ld(A,(ld(C,A) mult B) mult C)) <->
% ld(A,B) mult ld(C,ld(A,(ld(C,A) mult A) mult C))
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [232]
% (ld(B,ld(A,C)) mult A) mult B -> (A mult B) mult ld(B,ld(A mult B,B mult C))
% Current number of equations to process: 4930
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [233]
% (ld(ld(A,B),C) mult A) mult ld(A,B) <->
% ld(ld(A,B),ld(B,(A mult C) mult ld(A,B))) mult B
% Current number of equations to process: 4929
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [234]
% ld(ld(A,B),ld(B,(A mult C) mult ld(A,B))) mult B <->
% (ld(ld(A,B),C) mult A) mult ld(A,B)
% Current number of equations to process: 4929
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [235]
% (ld(A mult B,C) mult ld(ld(A mult B,A),unit)) mult (A mult B) ->
% (ld(A,C) mult B) mult A
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [236] ((A mult A) mult A) mult ld(A mult A,A) -> A mult A
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [237]
% (ld(A mult A,A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(A mult A,A)
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [238]
% (ld(A mult C,B mult C) mult ld(A mult C,C)) mult (A mult C) ->
% (ld(A,unit) mult B) mult C
% Rule
% [148]
% (ld(A mult B,(B mult C) mult A) mult ld(A mult B,A)) mult (A mult B) ->
% ((B mult C) mult ld(B,unit)) mult A collapsed.
% Current number of equations to process: 1912
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [239]
% ld(A,(A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))) -> ld(A,C) mult B
% Current number of equations to process: 1926
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [240]
% ld(ld(A,ld(B,(ld(A,B) mult C) mult A)),(ld(A,B) mult ld(A,C)) mult A) -> B
% Current number of equations to process: 2094
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [241]
% ld((ld(A,unit) mult B) mult (A mult A),((A mult B) mult ld(A,unit)) mult 
% (A mult A)) -> A
% Current number of equations to process: 2093
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [242]
% (ld(A,B) mult ld(C,A)) mult C ->
% (ld(A,B) mult C) mult ld(C,ld(ld(A,B) mult C,B mult C))
% Current number of equations to process: 2092
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [243]
% (A mult B) mult ld(A,ld(A,ld(A mult B,(B mult C) mult A))) <->
% (ld(A,ld(A,C)) mult B) mult A
% Current number of equations to process: 2091
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [244]
% (ld(A,ld(A,C)) mult B) mult A <->
% (A mult B) mult ld(A,ld(A,ld(A mult B,(B mult C) mult A)))
% Current number of equations to process: 2091
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [245]
% ld(ld(A,B) mult C,(A mult C) mult ld(A,ld(A mult C,(B mult C) mult A))) -> A
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [246]
% (((A mult A) mult B) mult C) mult A <->
% ((A mult A) mult ld(A mult C,(B mult C) mult A)) mult (A mult C)
% Current number of equations to process: 2089
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [247]
% ((A mult A) mult ld(A mult C,(B mult C) mult A)) mult (A mult C) <->
% (((A mult A) mult B) mult C) mult A
% Current number of equations to process: 2089
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [248]
% ld(A,(ld(B,A mult C) mult A) mult B) <-> (ld(ld(A,B),C) mult A) mult ld(A,B)
% Current number of equations to process: 2198
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [249]
% (ld(ld(A,B),C) mult A) mult ld(A,B) <-> ld(A,(ld(B,A mult C) mult A) mult B)
% Current number of equations to process: 2198
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [250]
% ld(A,(ld(A mult B,C) mult A) mult (A mult B)) ->
% (A mult B) mult ld(B,ld(A mult B,B mult C))
% Rule
% [104]
% ld(A,(ld(A mult B,A mult C) mult A) mult (A mult B)) ->
% (ld(B,C) mult A) mult B collapsed.
% Current number of equations to process: 2197
% Current number of ordered equations: 0
% Current number of rules: 191
% Rule [221] ((A mult A) mult (A mult A)) mult ld(A,unit) -> (A mult A) mult A is composed into 
% [221]
% ((A mult A) mult (A mult A)) mult ld(A,unit) -> ld(ld(A mult A,A),A mult A)
% Rule [213]
% ld(A mult B,(A mult A) mult (A mult A)) mult ld(ld(A mult B,A),unit) ->
% (A mult A) mult A is composed into [213]
% ld(A mult B,(A mult A) mult (A mult A)) mult 
% ld(ld(A mult B,A),unit) ->
% ld(ld(A mult A,A),A mult A)
% Rule [169]
% ((A mult A) mult B) mult ld(A,unit) <->
% (((A mult A) mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) is composed into 
% [169]
% ((A mult A) mult B) mult ld(A,unit) <->
% (ld(ld(A mult A,A),A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B)
% New rule produced : [251] (A mult A) mult A -> ld(ld(A mult A,A),A mult A)
% Rule
% [85]
% (((A mult A) mult A) mult B) mult A -> ((A mult A) mult A) mult (A mult B)
% collapsed.
% Rule
% [92]
% ld(A mult B,((B mult B) mult B) mult A) mult A ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A collapsed.
% Rule
% [106]
% ld(A,ld((A mult A) mult A,(A mult A) mult (A mult B))) ->
% ld((A mult A) mult A,(A mult A) mult B) collapsed.
% Rule
% [110]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(ld(A mult B,A),unit) collapsed.
% Rule
% [124]
% ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,(A mult A) mult A) -> A mult A
% collapsed.
% Rule
% [140] ld(ld(A mult B,(A mult A) mult A),A mult A) -> ld(ld(A mult B,A),unit)
% collapsed.
% Rule [157] ld(A,ld(ld((A mult A) mult A,B) mult A,A mult B)) -> A mult A
% collapsed.
% Rule
% [170]
% (((A mult A) mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) <->
% ((A mult A) mult B) mult ld(A,unit) collapsed.
% Rule
% [190]
% (((A mult A) mult A) mult B) mult (A mult A) ->
% ((A mult A) mult A) mult ((A mult A) mult B) collapsed.
% Rule
% [191]
% ((A mult A) mult (A mult A)) mult (A mult A) ->
% ((A mult A) mult A) mult ((A mult A) mult A) collapsed.
% Rule [192] ld(ld((A mult A) mult A,A mult A),unit) -> A collapsed.
% Rule [193] ld((A mult A) mult A,A) mult A -> ld(A mult A,A) collapsed.
% Rule [194] ld((A mult A) mult (A mult A),(A mult A) mult A) -> ld(A mult A,A)
% collapsed.
% Rule [195] ld((A mult A) mult A,A mult A) mult A -> unit collapsed.
% Rule
% [197] ld(A,((A mult A) mult A) mult (A mult B)) -> ((A mult A) mult A) mult B
% collapsed.
% Rule
% [198] ((A mult A) mult A) mult (ld((A mult A) mult A,B) mult A) -> A mult B
% collapsed.
% Rule
% [199] ld(((A mult A) mult A) mult B,((A mult A) mult A) mult (A mult B)) -> A
% collapsed.
% Rule
% [200]
% ld(ld(((A mult A) mult A) mult (A mult A),(A mult A) mult A),unit) ->
% A mult A collapsed.
% Rule
% [201]
% ld(ld((A mult A) mult B,(A mult A) mult A),A) ->
% ld(ld((A mult A) mult B,A mult A),unit) collapsed.
% Rule
% [204] ld(A mult B,(A mult A) mult A) mult ld(ld(A mult B,A),unit) -> A mult A
% collapsed.
% Rule
% [205]
% ld((A mult A) mult A,(A mult A) mult B) mult A ->
% ld((A mult A) mult A,(A mult A) mult (A mult B)) collapsed.
% Rule
% [206]
% ((((A mult A) mult A) mult (A mult A)) mult B) mult A ->
% (((A mult A) mult A) mult (A mult A)) mult (A mult B) collapsed.
% Rule
% [208]
% ld(A,((A mult A) mult (A mult B)) mult ((A mult A) mult A)) ->
% ((A mult A) mult A) mult ((A mult A) mult B) collapsed.
% Rule
% [214]
% ld(A mult A,ld((A mult A) mult A,(A mult A) mult (A mult B))) ->
% ld((A mult A) mult A,A mult B) collapsed.
% Rule
% [216]
% ld(A,B) mult ld(B,((A mult A) mult A) mult ld(A,B)) ->
% ld(B,((A mult A) mult B) mult ld(A,B)) collapsed.
% Rule
% [219]
% (A mult A) mult ld((A mult A) mult A,B) ->
% ld((A mult A) mult A,(A mult A) mult B) collapsed.
% Rule [227] ((A mult A) mult A) mult ld(A mult A,unit) -> A collapsed.
% Rule [236] ((A mult A) mult A) mult ld(A mult A,A) -> A mult A collapsed.
% Current number of equations to process: 2384
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [252] ld(ld(ld(A mult A,A),A mult A),A) mult A -> ld(A mult A,A)
% Current number of equations to process: 2389
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [253] ld(A mult A,unit) mult ld(ld(A mult A,A),A mult A) -> A
% Current number of equations to process: 2388
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [254]
% (ld(ld(A mult A,A),A mult A) mult B) mult A ->
% (A mult B) mult ld(ld(A mult A,A),A mult A)
% Current number of equations to process: 2387
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [255]
% ld((A mult A) mult (A mult A),ld(ld(A mult A,A),A mult A)) -> ld(A mult A,A)
% Current number of equations to process: 2386
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [256]
% ld(ld(A mult B,ld(ld(A mult A,A),A mult A)),A mult A) ->
% ld(ld(A mult B,A),unit)
% Current number of equations to process: 2411
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [257] ld(A,ld(ld(ld(ld(A mult A,A),A mult A),B) mult A,A mult B)) -> A mult A
% Current number of equations to process: 2410
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [258]
% ld(A,(A mult B) mult ld(ld(A mult A,A),A mult A)) ->
% ld(ld(A mult A,A),A mult A) mult B
% Current number of equations to process: 2409
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [259]
% ld(A mult B,ld(ld(A,unit),C) mult B) mult ld(A mult B,B) ->
% ld(A mult B,B mult C)
% Current number of equations to process: 2424
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [260]
% ld(A mult B,ld(ld(B mult B,B),B mult B) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit))
% Current number of equations to process: 2423
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [261]
% ld(ld(A,ld(B,(B mult B) mult A)),ld(A,(B mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C)
% Current number of equations to process: 2422
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [262]
% ld((A mult A) mult B,(A mult A) mult (B mult C)) mult A <->
% ld((A mult A) mult B,((A mult C) mult B) mult (A mult A))
% Current number of equations to process: 2420
% Current number of ordered equations: 2
% Current number of rules: 175
% New rule produced :
% [263]
% ld((A mult A) mult (A mult A),(A mult A) mult B) mult A ->
% ld((A mult A) mult (A mult A),(A mult A) mult (A mult B))
% Current number of equations to process: 2420
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [264]
% ld((A mult A) mult B,((A mult C) mult B) mult (A mult A)) <->
% ld((A mult A) mult B,(A mult A) mult (B mult C)) mult A
% Current number of equations to process: 2420
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [265]
% (ld(ld(A mult A,A),A mult A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(ld(A mult A,A),A mult A)
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [266]
% (((A mult A) mult ld(ld(A mult A,A),A mult A)) mult B) mult (A mult A) ->
% ((A mult A) mult ld(ld(A mult A,A),A mult A)) mult ((A mult A) mult B)
% Current number of equations to process: 2416
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [267]
% ld(A,ld((A mult A) mult B,((A mult B) mult B) mult (A mult A))) ->
% ld(ld((A mult A) mult B,A mult A),unit)
% Current number of equations to process: 2414
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [268]
% ld(ld((A mult A) mult B,ld(ld(A mult A,A),A mult A)),A) ->
% ld(ld((A mult A) mult B,A mult A),unit)
% Current number of equations to process: 2414
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [269]
% ld((A mult A) mult B,A mult A) mult A <->
% ld((A mult A) mult B,((A mult B) mult ld(B,unit)) mult (A mult A))
% Current number of equations to process: 2413
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [270]
% ld((A mult A) mult B,((A mult B) mult ld(B,unit)) mult (A mult A)) <->
% ld((A mult A) mult B,A mult A) mult A
% Current number of equations to process: 2413
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [271]
% ld(A mult B,(B mult C) mult A) mult ld(ld(A mult A,A),A mult A) <->
% ld(A mult B,((ld(ld(A mult A,A),A mult A) mult C) mult B) mult A)
% Current number of equations to process: 2412
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [272]
% ld(A mult B,((ld(ld(A mult A,A),A mult A) mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(ld(A mult A,A),A mult A)
% Current number of equations to process: 2412
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [273]
% ld(A mult B,((A mult B) mult ld(ld(B mult B,B),B mult B)) mult A) <->
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A
% Current number of equations to process: 2411
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [274]
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A <->
% ld(A mult B,((A mult B) mult ld(ld(B mult B,B),B mult B)) mult A)
% Current number of equations to process: 2411
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [275]
% ld(A mult B,ld(ld(A mult A,A),A mult A)) mult ld(ld(A mult B,A),unit) ->
% A mult A
% Current number of equations to process: 2410
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [276]
% (ld(ld(A mult A,A),A mult A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A mult A,A),A mult A)
% Current number of equations to process: 2409
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [277]
% ld(A mult B,((ld(B mult B,C) mult A) mult B) mult A) ->
% ld(A mult B,ld(B mult B,B mult C) mult A) mult A
% Current number of equations to process: 2408
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [278]
% ld(A mult B,(ld(A mult A,C) mult B) mult A) mult A ->
% ld(A mult B,(ld(A mult A,A mult C) mult B) mult A)
% Current number of equations to process: 2407
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [279]
% (ld((A mult A) mult (A mult A),B) mult A) mult (A mult A) ->
% ld((A mult A) mult (A mult A),(A mult A) mult (A mult B))
% Current number of equations to process: 2406
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [280]
% (A mult A) mult ld(ld(ld(A mult A,A),A mult A),B) ->
% ld(ld(ld(A mult A,A),A mult A),(A mult A) mult B)
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [281]
% ld(A mult B,(((ld(B,unit) mult C) mult A) mult B) mult A) ->
% ld(A mult B,((B mult C) mult ld(B,unit)) mult A) mult A
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [282]
% ld(A mult B,((ld(A,unit) mult C) mult B) mult A) mult A ->
% ld(A mult B,(((A mult C) mult ld(A,unit)) mult B) mult A)
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [283]
% ld((A mult B) mult A,((ld(A,C) mult B) mult A) mult A) ->
% ld(A,ld((A mult B) mult A,((B mult C) mult A) mult A))
% Rule
% [154]
% ld((A mult B) mult A,((ld(A,C) mult B) mult A) mult A) mult A ->
% ld((A mult B) mult A,((B mult C) mult A) mult A) collapsed.
% Current number of equations to process: 2402
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [284]
% ld(ld(A mult B,C) mult ld(ld(A mult B,A),unit),(ld(A,C) mult B) mult A) ->
% A mult B
% Current number of equations to process: 2401
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [285]
% ld(A mult B,(ld(B,unit) mult A) mult ld(A,unit)) ->
% ld(A mult B,ld(A mult B,unit) mult A)
% Current number of equations to process: 2493
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [286]
% ld(A mult A,A mult B) mult ld(A mult A,A) ->
% ld(A mult A,(A mult B) mult ld(A,unit))
% Rule
% [109]
% ld(A mult A,(A mult B) mult A) mult ld(A mult A,A) ->
% ld(A mult A,((A mult B) mult A) mult ld(A,unit)) collapsed.
% Current number of equations to process: 2493
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [287]
% ld(ld(A,unit) mult B,B mult C) mult ld(ld(A,unit) mult B,B) <->
% ld(ld(A,unit) mult B,(A mult C) mult B)
% Current number of equations to process: 2540
% Current number of ordered equations: 2
% Current number of rules: 198
% New rule produced :
% [288]
% ld(ld(A,unit) mult B,(A mult C) mult B) <->
% ld(ld(A,unit) mult B,B mult C) mult ld(ld(A,unit) mult B,B)
% Current number of equations to process: 2540
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [289]
% ld(ld(A mult B,B mult C) mult ld(A mult B,B),(ld(A,unit) mult C) mult B) ->
% A mult B
% Current number of equations to process: 2540
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [290]
% ld((ld(ld(A,B),C) mult A) mult ld(A,B),(ld(B,A mult C) mult A) mult B) -> A
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [291]
% ld(A,((ld(A mult B,A mult C) mult A) mult A) mult (A mult B)) ->
% ((ld(B,C) mult A) mult A) mult B
% Current number of equations to process: 3201
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [292]
% ld(A,((A mult A) mult (A mult A)) mult (A mult B)) ->
% ((A mult A) mult (A mult A)) mult B
% Current number of equations to process: 3485
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [293]
% ((A mult A) mult (A mult A)) mult (ld((A mult A) mult (A mult A),B) mult A)
% -> A mult B
% Current number of equations to process: 3663
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [294]
% ld(((A mult A) mult (A mult A)) mult B,((A mult A) mult (A mult A)) mult 
% (A mult B)) -> A
% Current number of equations to process: 3662
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [295]
% ld(A,((ld(B,ld(B,A)) mult C) mult B) mult B) mult B ->
% ld(A,(((B mult C) mult ld(B,ld(B,A))) mult B) mult B)
% Current number of equations to process: 3715
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [296]
% (ld(A mult A,A) mult ld(A,(A mult A) mult B)) mult A ->
% ((A mult A) mult B) mult ld(A mult A,A)
% Current number of equations to process: 3979
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [297]
% (ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,C)) mult B <->
% (ld(A,B) mult ld(A,C)) mult A
% Current number of equations to process: 4022
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [298]
% (ld(A,B) mult ld(A,C)) mult A <->
% (ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,C)) mult B
% Current number of equations to process: 4022
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [299]
% (((A mult A) mult B) mult ld(B,unit)) mult A ->
% ((A mult A) mult ld(A mult B,A)) mult (A mult B)
% Current number of equations to process: 4213
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [300] ld(B,ld(A,(A mult A) mult B) mult ld(B,unit)) -> ld(ld(A,B),unit)
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [301]
% ld(B,ld(A,(A mult A) mult B)) mult ld(B,ld(A,C)) ->
% ld(ld(A,B),ld(B,ld(A,B) mult C))
% Current number of equations to process: 4302
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [302]
% (ld(A,ld(B,(B mult B) mult A)) mult ld(A,C)) mult ld(B,A) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 4301
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [303] ld(B,ld(B,ld(ld(B mult B,B),B mult B))) mult ld(B,A) -> A
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [304]
% ld(B,ld(ld(A,B),unit)) mult ld(B,ld(A,(A mult A) mult B)) ->
% ld(ld(A,B),ld(ld(A,B),unit))
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 215
% Rule [143]
% ld(ld(A,B),ld(B,(A mult B) mult ld(A,B))) <->
% ld(B,ld(A,(A mult A) mult B)) is composed into [143]
% ld(ld(A,B),ld(B,(A mult B) mult 
% ld(A,B)))
% -> ld(ld(B,ld(A,B)),unit)
% Rule [129]
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,ld(B,(B mult B) mult A)) is composed into [129]
% ld(ld(A,ld(B,A) mult C),
% ld(A,(B mult C) mult 
% ld(B,A))) ->
% ld(ld(A,ld(B,A)),unit)
% Rule [126]
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,ld(B,(B mult B) mult A)) mult ld(A,C) is composed into [126]
% ld(ld(B,A),
% ld(A,
% (B mult C) mult 
% ld(B,A)))
% <->
% ld(ld(A,
% ld(B,A)),unit) mult 
% ld(A,C)
% New rule produced :
% [305] ld(A,ld(B,(B mult B) mult A)) -> ld(ld(A,ld(B,A)),unit)
% Rule
% [185]
% ld(A,B) mult ld(B,ld(A,(A mult A) mult B)) -> ld(B,(A mult B) mult ld(A,B))
% collapsed.
% Rule
% [209]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,(B mult B) mult A)) ->
% ld(A,(B mult C) mult ld(B,A)) collapsed.
% Rule
% [261]
% ld(ld(A,ld(B,(B mult B) mult A)),ld(A,(B mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C) collapsed.
% Rule
% [301]
% ld(B,ld(A,(A mult A) mult B)) mult ld(B,ld(A,C)) ->
% ld(ld(A,B),ld(B,ld(A,B) mult C)) collapsed.
% Rule
% [302]
% (ld(A,ld(B,(B mult B) mult A)) mult ld(A,C)) mult ld(B,A) ->
% ld(A,(B mult C) mult ld(B,A)) collapsed.
% Rule
% [304]
% ld(B,ld(ld(A,B),unit)) mult ld(B,ld(A,(A mult A) mult B)) ->
% ld(ld(A,B),ld(ld(A,B),unit)) collapsed.
% Current number of equations to process: 4490
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [306] ld(B,(A mult B) mult ld(A,B)) -> ld(ld(B,ld(A,B)),unit) mult ld(A,B)
% Rule
% [143] ld(ld(A,B),ld(B,(A mult B) mult ld(A,B))) -> ld(ld(B,ld(A,B)),unit)
% collapsed.
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [307]
% ld(ld(B,ld(A,B)),unit) mult ld(B,ld(A,C)) -> ld(ld(A,B),ld(B,ld(A,B) mult C))
% Current number of equations to process: 4492
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [308]
% ld(ld(A,ld(B,A)),unit) mult ld(A,ld(B,A) mult C) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [309]
% (ld(ld(A,ld(B,A)),unit) mult ld(A,C)) mult ld(B,A) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 4490
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [310]
% ld(ld(B,ld(A,B)),unit) mult ld(B,ld(ld(A,B),unit)) ->
% ld(ld(A,B),ld(ld(A,B),unit))
% Current number of equations to process: 4489
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [311]
% ld(ld(ld(A,ld(B,A)),unit),ld(A,(B mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C)
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [312]
% ld(ld(A,B),ld(ld(C,A),ld(A,(B mult C) mult ld(C,A)))) ->
% ld(ld(A,ld(C,A)),unit)
% Current number of equations to process: 4485
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [313]
% ld(ld(A,ld(B,A) mult ld(B,C)),ld(A,ld(B,A) mult C)) -> ld(ld(A,ld(B,A)),unit)
% Current number of equations to process: 4485
% Current number of ordered equations: 0
% Current number of rules: 217
% Rule [137]
% ld(ld(A,B mult C),ld(A,(ld(B,A) mult C) mult B)) ->
% ld(ld(A,ld(ld(B,A),b) mult B),ld(A,b mult B)) is composed into [137]
% ld(
% ld(A,
% B mult C),
% ld(A,
% (
% ld(B,A) mult C) mult B))
% ->
% ld(
% ld(A,B),unit)
% New rule produced :
% [314] ld(ld(A,ld(ld(B,A),b) mult B),ld(A,b mult B)) -> ld(ld(A,B),unit)
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [315] ld(ld(A,ld(ld(B,A),C) mult B),ld(A,B mult C)) -> ld(ld(A,B),unit)
% Rule [314] ld(ld(A,ld(ld(B,A),b) mult B),ld(A,b mult B)) -> ld(ld(A,B),unit)
% collapsed.
% Current number of equations to process: 4682
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [316] ld(A,ld(ld(B,A),C) mult B) -> ld(ld(ld(A,B),unit),ld(A,B mult C))
% Rule
% [156]
% ld(A,ld(ld(C,A),B) mult C) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) ->
% ld(A,B mult C) collapsed.
% Rule [315] ld(ld(A,ld(ld(B,A),C) mult B),ld(A,B mult C)) -> ld(ld(A,B),unit)
% collapsed.
% Current number of equations to process: 4869
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [317]
% ld(A,ld(B,A) mult ld(B,C)) -> ld(ld(ld(A,ld(B,A)),unit),ld(A,ld(B,A) mult C))
% Rule
% [313]
% ld(ld(A,ld(B,A) mult ld(B,C)),ld(A,ld(B,A) mult C)) -> ld(ld(A,ld(B,A)),unit)
% collapsed.
% Current number of equations to process: 4868
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [318]
% (A mult B) mult ld(ld(ld(A mult B,B),unit),ld(A mult B,B mult C)) ->
% ld(A,C) mult B
% Current number of equations to process: 4867
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [319]
% ld(A mult B,B) mult ld(ld(A mult B,A),unit) -> ld(A,ld(ld(A mult B,A),unit))
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [320]
% ((ld(ld(A mult B,A),unit) mult A) mult A) mult (A mult B) ->
% (((A mult B) mult A) mult B) mult A
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [321] (A mult B) mult ld(ld(A mult B,B),unit) <-> (A mult A) mult B
% Current number of equations to process: 3055
% Current number of ordered equations: 2
% Current number of rules: 221
% New rule produced :
% [322] (A mult A) mult B <-> (A mult B) mult ld(ld(A mult B,B),unit)
% Rule
% [186]
% ld(ld(A,B),(ld(A,B) mult ld(A,B)) mult B) <-> (ld(A,B) mult ld(A,B)) mult A
% collapsed.
% Rule
% [187]
% (ld(A,B) mult ld(A,B)) mult A <-> ld(ld(A,B),(ld(A,B) mult ld(A,B)) mult B)
% collapsed.
% Rule
% [207]
% ld((ld(A,B) mult ld(A,B)) mult A,(ld(A,B) mult ld(A,B)) mult B) -> ld(A,B)
% collapsed.
% Rule
% [221]
% ((A mult A) mult (A mult A)) mult ld(A,unit) -> ld(ld(A mult A,A),A mult A)
% collapsed.
% Current number of equations to process: 3058
% Current number of ordered equations: 1
% Current number of rules: 218
% Rule [298]
% (ld(A,B) mult ld(A,C)) mult A <->
% (ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,C)) mult B is composed into 
% [298]
% (ld(A,B) mult ld(A,C)) mult A <-> (ld(ld(B,A),unit) mult ld(B,C)) mult B
% Rule [231]
% ld(C,ld(A,(ld(C,A) mult B) mult C)) <->
% ld(A,B) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) is composed into 
% [231] ld(C,ld(A,(ld(C,A) mult B) mult C)) -> ld(ld(A,C),unit) mult ld(A,B)
% Rule [52]
% ld(A,(ld(B,A) mult C) mult B) <->
% ld(A,B mult C) mult ld(B,ld(A,(ld(B,A) mult A) mult B)) is composed into 
% [52] ld(A,(ld(B,A) mult C) mult B) -> ld(ld(A,B),unit) mult ld(A,B mult C)
% New rule produced :
% [323] ld(A,ld(B,(ld(A,B) mult B) mult A)) -> ld(ld(B,A),unit)
% Rule
% [123]
% (ld(A,B mult C) mult ld(B,ld(A,(ld(B,A) mult A) mult B))) mult A ->
% (ld(B,A) mult C) mult B collapsed.
% Rule
% [230]
% ld(A,B) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) <->
% ld(C,ld(A,(ld(C,A) mult B) mult C)) collapsed.
% Rule
% [297]
% (ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,C)) mult B <->
% (ld(A,B) mult ld(A,C)) mult A collapsed.
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [324]
% ld(C,ld(ld(A,C),unit) mult ld(A,B mult C)) -> ld(ld(A,C),unit) mult ld(A,B)
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [325]
% (ld(ld(A,B),unit) mult ld(A,B mult C)) mult A -> (ld(B,A) mult C) mult B
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [326]
% ld(A mult B,((((A mult B) mult A) mult A) mult B) mult A) ->
% ((ld(ld(A mult B,A),unit) mult A) mult A) mult A
% Current number of equations to process: 3057
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [327]
% ld(ld(ld(ld(A mult B,B),unit),ld(A mult B,B mult C)),ld(A,C) mult B) ->
% A mult B
% Current number of equations to process: 3056
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [328] ld(ld(ld(A mult B,B),unit),(A mult A) mult B) -> A mult B
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [329]
% (ld(ld(A mult B,A),unit) mult A) mult (A mult B) ->
% ((A mult B) mult B) mult A
% Current number of equations to process: 3064
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [330]
% ld(A mult B,(((A mult B) mult A) mult B) mult A) ->
% (ld(ld(A mult B,A),unit) mult A) mult A
% Current number of equations to process: 3066
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [331]
% ld(ld(ld(A mult B,A),unit) mult A,((A mult B) mult B) mult A) -> A mult B
% Current number of equations to process: 3067
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [332]
% ld(ld(A,B) mult B,(A mult B) mult ld(A,B)) ->
% ld(ld(A,B),ld(ld(ld(A,B) mult B,ld(A,B)),unit))
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [333]
% (ld(A,B) mult B) mult A -> (A mult B) mult ld(A,ld(ld(A mult B,A),unit))
% Rule
% [225]
% (ld(A mult B,B) mult B) mult (A mult B) ->
% ((A mult B) mult ld(A,unit)) mult B collapsed.
% Rule [323] ld(A,ld(B,(ld(A,B) mult B) mult A)) -> ld(ld(B,A),unit) collapsed.
% Current number of equations to process: 3119
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [334]
% ld(A,ld(B,(A mult B) mult ld(A,ld(ld(A mult B,A),unit)))) -> ld(ld(B,A),unit)
% Current number of equations to process: 3118
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [335]
% ld(ld(A,B mult C),unit) mult ld(A,(C mult C) mult B) ->
% ld(ld(A,B),unit) mult ld(A,B mult C)
% Current number of equations to process: 3121
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [336]
% ld(ld(ld(A mult A,A mult B),A mult A),A) ->
% ld(ld(ld(A mult A,A mult B),A),unit)
% Current number of equations to process: 3254
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [337]
% ld(ld((A mult A) mult (A mult B),A mult A),A) ->
% ld(ld((A mult A) mult (A mult B),A),unit)
% Current number of equations to process: 3261
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [338] ld(ld(A,B mult B),B) -> ld(ld(A,B),unit)
% Rule [136] ld(ld(A mult B,B mult B),B) -> ld(ld(A mult B,B),unit) collapsed.
% Rule [252] ld(ld(ld(A mult A,A),A mult A),A) mult A -> ld(A mult A,A)
% collapsed.
% Rule
% [336]
% ld(ld(ld(A mult A,A mult B),A mult A),A) ->
% ld(ld(ld(A mult A,A mult B),A),unit) collapsed.
% Rule
% [337]
% ld(ld((A mult A) mult (A mult B),A mult A),A) ->
% ld(ld((A mult A) mult (A mult B),A),unit) collapsed.
% Current number of equations to process: 3274
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [339] ld(A mult B,B mult B) mult ld(ld(A mult B,B),unit) -> B
% Current number of equations to process: 3273
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [340] ld(ld(A,ld(ld(B mult B,B),B mult B)),B) -> ld(ld(A,B mult B),unit)
% Rule
% [268]
% ld(ld((A mult A) mult B,ld(ld(A mult A,A),A mult A)),A) ->
% ld(ld((A mult A) mult B,A mult A),unit) collapsed.
% Current number of equations to process: 3274
% Current number of ordered equations: 0
% Current number of rules: 226
% Rule [274]
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A <->
% ld(A mult B,((A mult B) mult ld(ld(B mult B,B),B mult B)) mult A) is composed into 
% [274]
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A <->
% ld(A mult B,((A mult B) mult ld(ld(B,unit),B mult B)) mult A)
% Rule [251] (A mult A) mult A -> ld(ld(A mult A,A),A mult A) is composed into 
% [251] (A mult A) mult A -> ld(ld(A,unit),A mult A)
% Rule [213]
% ld(A mult B,(A mult A) mult (A mult A)) mult ld(ld(A mult B,A),unit) ->
% ld(ld(A mult A,A),A mult A) is composed into [213]
% ld(A mult B,(A mult A) mult 
% (A mult A)) mult 
% ld(ld(A mult B,A),unit) ->
% ld(ld(A,unit),A mult A)
% Rule [211]
% ld((A mult A) mult B,A) mult ld(ld((A mult A) mult B,A mult A),unit) ->
% ld(A mult A,A) is composed into [211]
% ld((A mult A) mult B,A) mult ld(
% ld(
% (A mult A) mult B,
% A mult A),unit)
% -> ld(A,unit)
% Rule [169]
% ((A mult A) mult B) mult ld(A,unit) <->
% (ld(ld(A mult A,A),A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) is composed into 
% [169]
% ((A mult A) mult B) mult ld(A,unit) <->
% (ld(ld(A,unit),A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B)
% New rule produced : [341] ld(A mult A,A) -> ld(A,unit)
% Rule [138] ld(ld(A mult A,A),unit) -> A collapsed.
% Rule [196] ld((A mult A) mult (A mult A),A mult A) mult A -> ld(A mult A,A)
% collapsed.
% Rule
% [237]
% (ld(A mult A,A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(A mult A,A) collapsed.
% Rule [253] ld(A mult A,unit) mult ld(ld(A mult A,A),A mult A) -> A collapsed.
% Rule
% [254]
% (ld(ld(A mult A,A),A mult A) mult B) mult A ->
% (A mult B) mult ld(ld(A mult A,A),A mult A) collapsed.
% Rule
% [255]
% ld((A mult A) mult (A mult A),ld(ld(A mult A,A),A mult A)) -> ld(A mult A,A)
% collapsed.
% Rule
% [256]
% ld(ld(A mult B,ld(ld(A mult A,A),A mult A)),A mult A) ->
% ld(ld(A mult B,A),unit) collapsed.
% Rule
% [257] ld(A,ld(ld(ld(ld(A mult A,A),A mult A),B) mult A,A mult B)) -> A mult A
% collapsed.
% Rule
% [258]
% ld(A,(A mult B) mult ld(ld(A mult A,A),A mult A)) ->
% ld(ld(A mult A,A),A mult A) mult B collapsed.
% Rule
% [260]
% ld(A mult B,ld(ld(B mult B,B),B mult B) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) collapsed.
% Rule
% [265]
% (ld(ld(A mult A,A),A mult A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(ld(A mult A,A),A mult A) collapsed.
% Rule
% [266]
% (((A mult A) mult ld(ld(A mult A,A),A mult A)) mult B) mult (A mult A) ->
% ((A mult A) mult ld(ld(A mult A,A),A mult A)) mult ((A mult A) mult B)
% collapsed.
% Rule
% [271]
% ld(A mult B,(B mult C) mult A) mult ld(ld(A mult A,A),A mult A) <->
% ld(A mult B,((ld(ld(A mult A,A),A mult A) mult C) mult B) mult A) collapsed.
% Rule
% [272]
% ld(A mult B,((ld(ld(A mult A,A),A mult A) mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(ld(A mult A,A),A mult A) collapsed.
% Rule
% [273]
% ld(A mult B,((A mult B) mult ld(ld(B mult B,B),B mult B)) mult A) <->
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A collapsed.
% Rule
% [275]
% ld(A mult B,ld(ld(A mult A,A),A mult A)) mult ld(ld(A mult B,A),unit) ->
% A mult A collapsed.
% Rule
% [276]
% (ld(ld(A mult A,A),A mult A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A mult A,A),A mult A) collapsed.
% Rule
% [280]
% (A mult A) mult ld(ld(ld(A mult A,A),A mult A),B) ->
% ld(ld(ld(A mult A,A),A mult A),(A mult A) mult B) collapsed.
% Rule
% [286]
% ld(A mult A,A mult B) mult ld(A mult A,A) ->
% ld(A mult A,(A mult B) mult ld(A,unit)) collapsed.
% Rule
% [296]
% (ld(A mult A,A) mult ld(A,(A mult A) mult B)) mult A ->
% ((A mult A) mult B) mult ld(A mult A,A) collapsed.
% Rule [303] ld(B,ld(B,ld(ld(B mult B,B),B mult B))) mult ld(B,A) -> A
% collapsed.
% Rule [340] ld(ld(A,ld(ld(B mult B,B),B mult B)),B) -> ld(ld(A,B mult B),unit)
% collapsed.
% Current number of equations to process: 3300
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [342] ld(A mult A,unit) mult ld(ld(A,unit),A mult A) -> A
% Current number of equations to process: 3299
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [343]
% ((A mult A) mult B) mult ld(A,unit) -> (ld(A,unit) mult B) mult (A mult A)
% Rule
% [169]
% ((A mult A) mult B) mult ld(A,unit) <->
% (ld(ld(A,unit),A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) collapsed.
% Current number of equations to process: 3298
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [344] ld(ld(A,ld(ld(B,unit),B mult B)),B) -> ld(ld(A,B mult B),unit)
% Current number of equations to process: 3297
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [345] ld(B,ld(B,ld(ld(B,unit),B mult B))) mult ld(B,A) -> A
% Current number of equations to process: 3301
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [346]
% (ld(ld(A,unit),A mult A) mult B) mult A ->
% (A mult B) mult ld(ld(A,unit),A mult A)
% Current number of equations to process: 3300
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [347] ld((A mult A) mult (A mult A),ld(ld(A,unit),A mult A)) -> ld(A,unit)
% Current number of equations to process: 3299
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [348]
% ld(A mult A,A mult B) mult ld(A,unit) ->
% ld(A mult A,(A mult B) mult ld(A,unit))
% Current number of equations to process: 3298
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [349]
% ld(A,(A mult B) mult ld(ld(A,unit),A mult A)) ->
% ld(ld(A,unit),A mult A) mult B
% Current number of equations to process: 3297
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [350]
% ld(ld(A mult B,ld(ld(A,unit),A mult A)),A mult A) -> ld(ld(A mult B,A),unit)
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [351] ld(A,ld(ld(ld(ld(A,unit),A mult A),B) mult A,A mult B)) -> A mult A
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [352]
% ld(A mult B,ld(ld(B,unit),B mult B) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit))
% Current number of equations to process: 3294
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [353]
% (ld(ld(A,unit),A mult A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(ld(A,unit),A mult A)
% Current number of equations to process: 3299
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [354]
% (ld(ld(A,unit),A mult A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),A mult A)
% Current number of equations to process: 3298
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [355]
% (A mult A) mult ld(ld(ld(A,unit),A mult A),B) ->
% ld(ld(ld(A,unit),A mult A),(A mult A) mult B)
% Current number of equations to process: 3297
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [356]
% ld(A,((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C)) <->
% (ld(A,C) mult B) mult ld(A,unit)
% Current number of equations to process: 3296
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [357]
% (ld(A,C) mult B) mult ld(A,unit) <->
% ld(A,((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C))
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [358]
% ld(A mult B,ld(ld(A,unit),A mult A)) mult ld(ld(A mult B,A),unit) -> A mult A
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [359]
% ld(ld(ld(A mult B,A),unit),A mult A) -> ld(A mult B,ld(ld(A,unit),A mult A))
% Current number of equations to process: 3310
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [360] ld(ld(ld(A mult B,B),unit),B) <-> ld(A mult B,B mult B)
% Current number of equations to process: 3341
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [361] ld(A mult B,B mult B) <-> ld(ld(ld(A mult B,B),unit),B)
% Current number of equations to process: 3341
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [362]
% ld(ld(ld(A mult B,A),unit),ld(A,ld(A mult B,(B mult C) mult A))) ->
% ld(A mult B,C)
% Current number of equations to process: 3419
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [363]
% ld(ld(ld((A mult A) mult B,A mult A),unit),A) ->
% ld((A mult A) mult B,ld(ld(A,unit),A mult A))
% Current number of equations to process: 3449
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [364]
% ld(A,(A mult B) mult ld(B,ld(ld(A mult B,B),unit))) ->
% ld(ld(A,B),unit) mult B
% Rule
% [334]
% ld(A,ld(B,(A mult B) mult ld(A,ld(ld(A mult B,A),unit)))) -> ld(ld(B,A),unit)
% collapsed.
% Current number of equations to process: 3543
% Current number of ordered equations: 0
% Current number of rules: 226
% Rule [360] ld(ld(ld(A mult B,B),unit),B) <-> ld(A mult B,B mult B) is composed into 
% [360] ld(ld(ld(A mult B,B),unit),B) -> ld(A mult B,ld(ld(B,unit),B))
% Rule [321] (A mult B) mult ld(ld(A mult B,B),unit) <-> (A mult A) mult B is composed into 
% [321] (A mult B) mult ld(ld(A mult B,B),unit) -> ld(ld(A,unit),A) mult B
% New rule produced : [365] A mult A -> ld(ld(A,unit),A)
% Rule [35] ((A mult A) mult B) mult A -> (A mult A) mult (A mult B) collapsed.
% Rule [82] ld(A,(A mult A) mult (A mult B)) -> (A mult A) mult B collapsed.
% Rule [84] ld((A mult A) mult B,(A mult A) mult (A mult B)) -> A collapsed.
% Rule [88] ld(A mult A,B) mult A -> ld(A mult A,A mult B) collapsed.
% Rule
% [90]
% (A mult A) mult ld(A mult B,(B mult C) mult A) <->
% ld(A mult B,(A mult A) mult (A mult C)) mult ld(ld(A mult B,A),unit)
% collapsed.
% Rule
% [113]
% ld(A mult B,((((B mult B) mult C) mult A) mult B) mult A) ->
% ld(A mult B,((B mult B) mult (B mult C)) mult A) mult A collapsed.
% Rule
% [118]
% (((A mult A) mult (A mult A)) mult B) mult A ->
% ((A mult A) mult (A mult A)) mult (A mult B) collapsed.
% Rule
% [134]
% ld(A mult B,(A mult A) mult B) <->
% ld(ld(A mult B,ld(A,C) mult B),ld(A mult B,B mult C)) collapsed.
% Rule
% [149]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) ->
% ld(A mult B,(A mult A) mult (A mult C)) mult ld(ld(A mult B,A),unit)
% collapsed.
% Rule
% [152]
% ld(A,ld(B,(((A mult A) mult (A mult C)) mult ld(A,B)) mult A)) ->
% ld(B,(((A mult A) mult C) mult ld(A,B)) mult A) collapsed.
% Rule
% [178]
% ld(A mult B,A) mult ld(A mult B,A) ->
% ld(ld(ld(A mult B,A),unit),ld(A mult B,A)) collapsed.
% Rule [184] (A mult A) mult ld(A,B) -> ld(A,(A mult A) mult B) collapsed.
% Rule
% [188]
% ld(A,((A mult A) mult (A mult B)) mult (A mult A)) ->
% ((A mult A) mult B) mult (A mult A) collapsed.
% Rule [202] ld(A,ld(A mult A,A mult B)) -> ld(A mult A,B) collapsed.
% Rule [203] ld(ld(A mult A,B),ld(A mult A,A mult B)) -> A collapsed.
% Rule
% [210]
% ld(((A mult A) mult B) mult (A mult A),((A mult A) mult (A mult B)) mult 
% (A mult A)) -> A collapsed.
% Rule
% [211]
% ld((A mult A) mult B,A) mult ld(ld((A mult A) mult B,A mult A),unit) ->
% ld(A,unit) collapsed.
% Rule
% [213]
% ld(A mult B,(A mult A) mult (A mult A)) mult ld(ld(A mult B,A),unit) ->
% ld(ld(A,unit),A mult A) collapsed.
% Rule
% [215]
% (A mult A) mult ld(B,(ld(A,B) mult C) mult A) ->
% ld(ld(B,A),unit) mult ld(B,(A mult A) mult (A mult C)) collapsed.
% Rule
% [217]
% ld(A mult B,((A mult B) mult (B mult B)) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A collapsed.
% Rule
% [228]
% ld(A,((A mult B) mult ld(A,unit)) mult (A mult A)) ->
% (ld(A,unit) mult B) mult (A mult A) collapsed.
% Rule
% [229]
% ((ld(A mult A,unit) mult B) mult A) mult (A mult A) ->
% (((A mult A) mult B) mult ld(A mult A,unit)) mult A collapsed.
% Rule
% [241]
% ld((ld(A,unit) mult B) mult (A mult A),((A mult B) mult ld(A,unit)) mult 
% (A mult A)) -> A collapsed.
% Rule
% [246]
% (((A mult A) mult B) mult C) mult A <->
% ((A mult A) mult ld(A mult C,(B mult C) mult A)) mult (A mult C) collapsed.
% Rule
% [247]
% ((A mult A) mult ld(A mult C,(B mult C) mult A)) mult (A mult C) <->
% (((A mult A) mult B) mult C) mult A collapsed.
% Rule [251] (A mult A) mult A -> ld(ld(A,unit),A mult A) collapsed.
% Rule
% [262]
% ld((A mult A) mult B,(A mult A) mult (B mult C)) mult A <->
% ld((A mult A) mult B,((A mult C) mult B) mult (A mult A)) collapsed.
% Rule
% [263]
% ld((A mult A) mult (A mult A),(A mult A) mult B) mult A ->
% ld((A mult A) mult (A mult A),(A mult A) mult (A mult B)) collapsed.
% Rule
% [264]
% ld((A mult A) mult B,((A mult C) mult B) mult (A mult A)) <->
% ld((A mult A) mult B,(A mult A) mult (B mult C)) mult A collapsed.
% Rule
% [267]
% ld(A,ld((A mult A) mult B,((A mult B) mult B) mult (A mult A))) ->
% ld(ld((A mult A) mult B,A mult A),unit) collapsed.
% Rule
% [269]
% ld((A mult A) mult B,A mult A) mult A <->
% ld((A mult A) mult B,((A mult B) mult ld(B,unit)) mult (A mult A)) collapsed.
% Rule
% [270]
% ld((A mult A) mult B,((A mult B) mult ld(B,unit)) mult (A mult A)) <->
% ld((A mult A) mult B,A mult A) mult A collapsed.
% Rule
% [274]
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A <->
% ld(A mult B,((A mult B) mult ld(ld(B,unit),B mult B)) mult A) collapsed.
% Rule
% [277]
% ld(A mult B,((ld(B mult B,C) mult A) mult B) mult A) ->
% ld(A mult B,ld(B mult B,B mult C) mult A) mult A collapsed.
% Rule
% [278]
% ld(A mult B,(ld(A mult A,C) mult B) mult A) mult A ->
% ld(A mult B,(ld(A mult A,A mult C) mult B) mult A) collapsed.
% Rule
% [279]
% (ld((A mult A) mult (A mult A),B) mult A) mult (A mult A) ->
% ld((A mult A) mult (A mult A),(A mult A) mult (A mult B)) collapsed.
% Rule
% [292]
% ld(A,((A mult A) mult (A mult A)) mult (A mult B)) ->
% ((A mult A) mult (A mult A)) mult B collapsed.
% Rule
% [293]
% ((A mult A) mult (A mult A)) mult (ld((A mult A) mult (A mult A),B) mult A)
% -> A mult B collapsed.
% Rule
% [294]
% ld(((A mult A) mult (A mult A)) mult B,((A mult A) mult (A mult A)) mult 
% (A mult B)) -> A collapsed.
% Rule
% [299]
% (((A mult A) mult B) mult ld(B,unit)) mult A ->
% ((A mult A) mult ld(A mult B,A)) mult (A mult B) collapsed.
% Rule [300] ld(B,ld(A,(A mult A) mult B) mult ld(B,unit)) -> ld(ld(A,B),unit)
% collapsed.
% Rule [305] ld(A,ld(B,(B mult B) mult A)) -> ld(ld(A,ld(B,A)),unit) collapsed.
% Rule [322] (A mult A) mult B <-> (A mult B) mult ld(ld(A mult B,B),unit)
% collapsed.
% Rule [328] ld(ld(ld(A mult B,B),unit),(A mult A) mult B) -> A mult B
% collapsed.
% Rule
% [335]
% ld(ld(A,B mult C),unit) mult ld(A,(C mult C) mult B) ->
% ld(ld(A,B),unit) mult ld(A,B mult C) collapsed.
% Rule [338] ld(ld(A,B mult B),B) -> ld(ld(A,B),unit) collapsed.
% Rule [339] ld(A mult B,B mult B) mult ld(ld(A mult B,B),unit) -> B collapsed.
% Rule [341] ld(A mult A,A) -> ld(A,unit) collapsed.
% Rule [342] ld(A mult A,unit) mult ld(ld(A,unit),A mult A) -> A collapsed.
% Rule
% [343]
% ((A mult A) mult B) mult ld(A,unit) -> (ld(A,unit) mult B) mult (A mult A)
% collapsed.
% Rule [344] ld(ld(A,ld(ld(B,unit),B mult B)),B) -> ld(ld(A,B mult B),unit)
% collapsed.
% Rule [345] ld(B,ld(B,ld(ld(B,unit),B mult B))) mult ld(B,A) -> A collapsed.
% Rule
% [346]
% (ld(ld(A,unit),A mult A) mult B) mult A ->
% (A mult B) mult ld(ld(A,unit),A mult A) collapsed.
% Rule
% [347] ld((A mult A) mult (A mult A),ld(ld(A,unit),A mult A)) -> ld(A,unit)
% collapsed.
% Rule
% [348]
% ld(A mult A,A mult B) mult ld(A,unit) ->
% ld(A mult A,(A mult B) mult ld(A,unit)) collapsed.
% Rule
% [349]
% ld(A,(A mult B) mult ld(ld(A,unit),A mult A)) ->
% ld(ld(A,unit),A mult A) mult B collapsed.
% Rule
% [350]
% ld(ld(A mult B,ld(ld(A,unit),A mult A)),A mult A) -> ld(ld(A mult B,A),unit)
% collapsed.
% Rule
% [351] ld(A,ld(ld(ld(ld(A,unit),A mult A),B) mult A,A mult B)) -> A mult A
% collapsed.
% Rule
% [352]
% ld(A mult B,ld(ld(B,unit),B mult B) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) collapsed.
% Rule
% [353]
% (ld(ld(A,unit),A mult A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(ld(A,unit),A mult A) collapsed.
% Rule
% [354]
% (ld(ld(A,unit),A mult A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),A mult A) collapsed.
% Rule
% [355]
% (A mult A) mult ld(ld(ld(A,unit),A mult A),B) ->
% ld(ld(ld(A,unit),A mult A),(A mult A) mult B) collapsed.
% Rule
% [358]
% ld(A mult B,ld(ld(A,unit),A mult A)) mult ld(ld(A mult B,A),unit) -> A mult A
% collapsed.
% Rule
% [359]
% ld(ld(ld(A mult B,A),unit),A mult A) -> ld(A mult B,ld(ld(A,unit),A mult A))
% collapsed.
% Rule [361] ld(A mult B,B mult B) <-> ld(ld(ld(A mult B,B),unit),B) collapsed.
% Rule
% [363]
% ld(ld(ld((A mult A) mult B,A mult A),unit),A) ->
% ld((A mult A) mult B,ld(ld(A,unit),A mult A)) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% ld(ld(b,unit),b) mult ld(ld(a,unit),a) = ld(ld(b mult a,b) mult ld(b mult a,a),
% ld(ld(b mult a,b) mult ld(b mult a,a),unit))
% 
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [366] ld(ld(A,ld(ld(B,unit),B)),B) -> ld(ld(A,B),unit)
% Current number of equations to process: 3701
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [367] ld(ld(A,unit),A) mult A -> ld(ld(A,unit),ld(ld(A,unit),A))
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [368] (ld(ld(A,unit),A) mult B) mult A -> (A mult B) mult ld(ld(A,unit),A)
% Current number of equations to process: 3699
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [369] ld(ld(ld(A,unit),A),B) mult A -> ld(ld(ld(A,unit),A),A mult B)
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [370] ld(ld(A,unit),A) mult ld(A,B) -> ld(A,ld(ld(A,unit),A) mult B)
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [371] ld(A,(A mult B) mult ld(ld(A,unit),A)) -> ld(ld(A,unit),A) mult B
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [372] ld(A,ld(ld(ld(A,unit),A),A mult B)) -> ld(ld(ld(A,unit),A),B)
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [373] ld(A,ld(B,ld(ld(B,unit),B) mult A)) -> ld(ld(A,ld(B,A)),unit)
% Current number of equations to process: 3694
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [374]
% (ld(ld(A,unit),A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),A)
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [375] ld(ld(ld(A mult B,B),unit),ld(ld(A,unit),A) mult B) -> A mult B
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [376] ld(ld(ld(A,unit),A) mult B,(A mult B) mult ld(ld(A,unit),A)) -> A
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [377] ld(ld(ld(ld(A,unit),A),B),ld(ld(ld(A,unit),A),A mult B)) -> A
% Current number of equations to process: 3699
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [378] ld(ld(ld(A,unit),A),unit) mult ld(ld(A,unit),ld(ld(A,unit),A)) -> A
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [379] ld(B,ld(A,ld(ld(A,unit),A) mult B) mult ld(B,unit)) -> ld(ld(A,B),unit)
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [380] ld(B,ld(B,ld(ld(B,unit),ld(ld(B,unit),B)))) mult ld(B,A) -> A
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [381] ld(A mult B,ld(ld(B,unit),B)) mult ld(ld(A mult B,B),unit) -> B
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [382]
% ld(ld(A,ld(ld(B,unit),ld(ld(B,unit),B))),B) ->
% ld(ld(A,ld(ld(B,unit),B)),unit)
% Current number of equations to process: 3694
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [383] ld(ld(ld(A,B),unit) mult A,ld(ld(A,B),unit) mult B) -> ld(A,B)
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [384]
% ld(ld(ld(ld(A,unit) mult B,ld(A,unit)),unit),A) -> ld(ld(A,unit) mult B,unit)
% Current number of equations to process: 3767
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [385]
% (ld(ld(A,unit),ld(ld(A,unit),A)) mult B) mult A ->
% (A mult B) mult ld(ld(A,unit),ld(ld(A,unit),A))
% Current number of equations to process: 3766
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [386]
% ld(ld(ld(A,unit),A),A mult B) mult ld(A,unit) ->
% ld(ld(ld(A,unit),A),(A mult B) mult ld(A,unit))
% Current number of equations to process: 3765
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [387]
% ld(ld(ld(A mult B,A),unit),ld(ld(A,unit),A)) ->
% ld(A mult B,ld(ld(A,unit),ld(ld(A,unit),A)))
% Current number of equations to process: 3764
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [388]
% ld(A,(A mult B) mult ld(ld(A,unit),ld(ld(A,unit),A))) ->
% ld(ld(A,unit),ld(ld(A,unit),A)) mult B
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [389]
% ld(A,((A mult B) mult ld(A,unit)) mult ld(ld(A,unit),A)) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),A)
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [390]
% ld(A mult B,ld(ld(B,unit),ld(ld(B,unit),B)) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit))
% Current number of equations to process: 3764
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [391]
% ld(A,ld(ld(ld(ld(A,unit),ld(ld(A,unit),A)),B) mult A,A mult B)) ->
% ld(ld(A,unit),A)
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [392]
% ((ld(ld(A,unit),A) mult B) mult ld(B,unit)) mult A ->
% (ld(A mult B,A) mult ld(ld(A,unit),A)) mult (A mult B)
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [393]
% ld(ld(ld(ld(A,unit),A),B) mult ld(A,unit),ld(ld(ld(A,unit),A),(A mult B) mult 
% ld(A,unit))) ->
% A
% Current number of equations to process: 3761
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [394]
% ld(ld(A,unit) mult B,A) mult ld(ld(ld(A,unit) mult B,ld(A,unit)),unit) ->
% ld(ld(A,unit),A)
% Current number of equations to process: 3760
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [395] ld(A mult B,ld(ld(A,unit),A) mult B) -> ld(ld(A mult B,B),unit)
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [396]
% ld(ld(A mult B,ld(ld(A,unit),ld(ld(A,unit),A))),ld(ld(A,unit),A)) ->
% ld(ld(A mult B,A),unit)
% Current number of equations to process: 3777
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [397]
% (ld(ld(A,unit),ld(ld(A,unit),A)) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),ld(ld(A,unit),A))
% Current number of equations to process: 3776
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [398]
% ld(A mult B,((A mult B) mult ld(ld(B,unit),B)) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A
% Current number of equations to process: 3775
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [399]
% ld(ld(A,B mult C),unit) mult ld(A,ld(ld(C,unit),C) mult B) ->
% ld(ld(A,B),unit) mult ld(A,B mult C)
% Current number of equations to process: 3774
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [400]
% (((ld(ld(A mult B,A),unit) mult A) mult A) mult A) mult (A mult B) ->
% ((((A mult B) mult A) mult A) mult B) mult A
% Current number of equations to process: 3773
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [401]
% ld(A mult B,(((A mult B) mult A) mult ld(A,unit)) mult B) ->
% (ld(A mult B,B) mult B) mult ld(ld(A mult B,B),unit)
% Current number of equations to process: 3772
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [402]
% ld((ld(ld(A mult B,A),unit) mult A) mult A,(((A mult B) mult A) mult B) mult A)
% -> A mult B
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [403]
% ld(A,ld(ld(A,unit) mult B,((A mult B) mult B) mult ld(A,unit))) ->
% ld(ld(ld(A,unit) mult B,ld(A,unit)),unit)
% Current number of equations to process: 3769
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [404]
% ld(ld(A,unit) mult B,(B mult C) mult ld(A,unit)) mult A <->
% ld(ld(A,unit) mult B,((A mult C) mult B) mult ld(A,unit))
% Current number of equations to process: 3768
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [405]
% ld(ld(A,unit) mult B,((A mult C) mult B) mult ld(A,unit)) <->
% ld(ld(A,unit) mult B,(B mult C) mult ld(A,unit)) mult A
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [406]
% ld(ld(A,unit) mult B,((A mult B) mult ld(B,unit)) mult ld(A,unit)) ->
% ld(ld(A,unit) mult B,ld(A,unit)) mult A
% Current number of equations to process: 3767
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [407]
% ld(A mult B,(ld(ld(B,unit),C) mult B) mult A) ->
% ld(ld(A mult B,A),ld(A mult B,(B mult C) mult A))
% Rule
% [147]
% ld(A mult B,(ld(ld(B,unit),C) mult B) mult A) mult ld(A mult B,A) ->
% ld(A mult B,(B mult C) mult A) collapsed.
% Current number of equations to process: 3803
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [408]
% ld((ld(A,B) mult C) mult ld(A,unit),((A mult C) mult ld(A,unit)) mult 
% (ld(A,unit) mult B)) -> A
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [409]
% ld(ld(A,ld(B,A)),ld(A,((B mult C) mult ld(B,unit)) mult ld(B,A))) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 3806
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [410]
% (ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D)) mult A <->
% ((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A)
% Current number of equations to process: 3805
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [411]
% ((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A) <->
% (ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D)) mult A
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [412]
% ((ld(A,unit) mult B) mult C) mult ld(A mult C,unit) <->
% ((B mult C) mult ld(A mult C,unit)) mult (ld(A mult C,unit) mult C)
% Current number of equations to process: 3804
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [413]
% ((B mult C) mult ld(A mult C,unit)) mult (ld(A mult C,unit) mult C) <->
% ((ld(A,unit) mult B) mult C) mult ld(A mult C,unit)
% Current number of equations to process: 3804
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [414]
% ld(A,ld(A mult B,((A mult C) mult B) mult A) mult ld(ld(A,unit),A)) ->
% ld(A mult B,(B mult C) mult A) mult ld(ld(A,unit),A)
% Current number of equations to process: 3803
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [415]
% ld(A,(ld(ld(B,A),unit) mult ld(B,(A mult C) mult A)) mult ld(ld(A,unit),A))
% -> (ld(ld(B,A),unit) mult ld(B,A mult C)) mult ld(ld(A,unit),A)
% Current number of equations to process: 3802
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [416]
% ld(A,((A mult B) mult ld(ld(A,unit),A)) mult ld(ld(A,unit),A)) ->
% (ld(ld(A,unit),A) mult B) mult ld(ld(A,unit),A)
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [417]
% ld(ld(ld(A,unit),A) mult B,ld(ld(A,unit),ld(ld(A,unit),A))) mult ld(ld(
% ld(
% ld(A,unit),A) mult B,
% ld(
% ld(A,unit),A)),unit)
% -> A
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [418]
% ld(A,ld(A mult B,((A mult B) mult ld(ld(B,unit),ld(ld(B,unit),B))) mult A))
% -> ld(A mult B,ld(ld(ld(ld(B,unit),B),unit),ld(ld(B,unit),B)) mult A)
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [419]
% ld(ld(B,A),unit) mult ld(B,ld(ld(ld(ld(A,unit),A),unit),ld(ld(A,unit),A))) ->
% ld(ld(A,unit),ld(ld(A,unit),A))
% Current number of equations to process: 3796
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [420]
% ld(A mult B,ld(ld(A,unit),ld(ld(A,unit),A))) mult ld(ld(A mult B,A),unit) ->
% ld(ld(A,unit),A)
% Current number of equations to process: 3795
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [421]
% ld(A,ld(ld(B,A),unit) mult ld(B,ld(ld(ld(A,unit),A),(A mult C) mult A))) ->
% ld(ld(B,A),unit) mult ld(B,ld(ld(ld(A,unit),A),A mult C))
% Current number of equations to process: 3794
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [422]
% (ld(ld(ld(A,unit),A),unit) mult B) mult A ->
% (A mult B) mult ld(ld(ld(A,unit),A),unit)
% Current number of equations to process: 3793
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [423]
% ld(A,ld(ld(B,A),unit) mult ld(B,((A mult C) mult A) mult ld(A,unit))) ->
% ld(ld(B,A),unit) mult ld(B,(A mult C) mult ld(A,unit))
% Current number of equations to process: 3792
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [424]
% ((A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))) mult B ->
% (ld(A mult B,B mult C) mult B) mult (A mult B)
% Current number of equations to process: 3791
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [425]
% ((((ld(B,C) mult A) mult A) mult A) mult B) mult A ->
% (((ld(A mult B,A mult C) mult A) mult A) mult A) mult (A mult B)
% Rule
% [155]
% ld(A mult B,((((ld(A,C) mult B) mult B) mult B) mult A) mult B) ->
% ((ld(A mult B,B mult C) mult B) mult B) mult B collapsed.
% Current number of equations to process: 3788
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [426]
% ld(A mult B,(ld(B,C) mult A) mult A) mult ld(ld(A mult B,A),unit) ->
% ld(A mult B,A mult C) mult A
% Current number of equations to process: 3787
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [427]
% (ld(ld(ld(ld(A,unit),A),unit),ld(ld(A,unit),A)) mult B) mult ld(A,unit) ->
% (ld(ld(A,unit),ld(ld(A,unit),A)) mult A) mult (ld(A,unit) mult B)
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [428]
% ld(A,((A mult B) mult ld(ld(A,unit),A)) mult ld(ld(ld(ld(A,unit),A),unit),
% ld(ld(A,unit),A))) ->
% (ld(ld(A,unit),A) mult B) mult ld(ld(ld(ld(A,unit),A),unit),ld(ld(A,unit),A))
% Current number of equations to process: 3785
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [429]
% ld(A,ld(A mult B,(((A mult C) mult ld(A,B)) mult A) mult A)) ->
% ld(A mult B,((ld(A,B) mult C) mult A) mult A)
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [430]
% ld(ld(A,ld(ld(B,C),A) mult B),ld(A,ld(ld(B,C),A) mult C)) ->
% ld(ld(A,ld(ld(B,C),A)),unit)
% Current number of equations to process: 3783
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [431]
% ld(ld(ld(A,B) mult C,A mult C),ld(ld(A,B) mult C,B mult C)) ->
% ld(ld(ld(A,B) mult C,C),unit)
% Current number of equations to process: 3782
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [432]
% ld(ld(ld(ld(A,B) mult C,C),unit),ld(ld(A,B) mult C,B mult C)) ->
% ld(ld(A,B) mult C,A mult C)
% Current number of equations to process: 3781
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [433]
% ld(ld(ld(A mult B,A),unit),ld(A mult B,(B mult C) mult A) mult A) ->
% ld(A mult B,(A mult C) mult A)
% Current number of equations to process: 3777
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [434]
% ld(A,(ld(ld(B,unit),C) mult B) mult ld(B,A)) mult ld(A,ld(B,A)) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 3775
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [435]
% ld(A,ld(ld(B,C),ld(C,(A mult B) mult ld(B,C))) mult C) ->
% ld(ld(A,ld(B,C)),unit) mult ld(A,C)
% Current number of equations to process: 3818
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [436] ld(A,ld(ld(A,unit),A)) -> A
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [437] ld(ld(ld(A,ld(A,unit)),unit) mult A,A) mult A -> ld(A,unit)
% Current number of equations to process: 4289
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [438] ld(ld(ld(A,unit),B) mult A,A mult B) mult C -> ld(A,unit) mult C
% Rule [160] ld(ld(ld(A,unit),B) mult A,A mult B) mult A -> unit collapsed.
% Current number of equations to process: 4324
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [439] ld(ld(ld(ld(A,unit),C) mult A,A mult C),unit) mult B -> A mult B
% Current number of equations to process: 4323
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [440]
% ld(ld(A mult B,B) mult B,((A mult B) mult ld(A,unit)) mult B) -> A mult B
% Current number of equations to process: 4516
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [441]
% ((ld(C,A) mult B) mult ld(B,unit)) mult ((B mult C) mult ld(B,unit)) ->
% (A mult B) mult ld(B,unit)
% Current number of equations to process: 4630
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [442]
% (B mult C) mult A <->
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult ((A mult C) mult ld(A,unit)))
% Current number of equations to process: 4629
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [443]
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult ((A mult C) mult ld(A,unit)))
% <-> (B mult C) mult A
% Current number of equations to process: 4629
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [444]
% ld((A mult B) mult ld(B,unit),((A mult C) mult B) mult ld(B,unit)) ->
% (B mult C) mult ld(B,unit)
% Current number of equations to process: 4853
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [445]
% (ld(ld(A,B),C) mult A) mult ld(A,unit) ->
% ld(ld(A,unit) mult B,(A mult C) mult ld(A,unit))
% Rule
% [165]
% ((ld(ld(A,C),B) mult A) mult ld(A,unit)) mult (ld(A,unit) mult C) ->
% (A mult B) mult ld(A,unit) collapsed.
% Rule [223] (ld(ld(A,unit),B) mult A) mult ld(A,unit) -> A mult B collapsed.
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [446]
% ld(A,ld(ld(B,unit),(ld(B,unit) mult A) mult (ld(B,unit) mult C))) <->
% ld(ld(A,B),unit) mult ld(A,C)
% Current number of equations to process: 2248
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [447]
% ld(ld(A,B),unit) mult ld(A,C) <->
% ld(A,ld(ld(B,unit),(ld(B,unit) mult A) mult (ld(B,unit) mult C)))
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [448]
% ld(A,ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C))) ->
% ld(A,C) mult B
% Current number of equations to process: 2269
% Current number of ordered equations: 0
% Current number of rules: 239
% Rule [298]
% (ld(A,B) mult ld(A,C)) mult A <-> (ld(ld(B,A),unit) mult ld(B,C)) mult B is composed into 
% [298]
% (ld(A,B) mult ld(A,C)) mult A <->
% ld(ld(A,unit),(ld(A,unit) mult B) mult (ld(A,unit) mult C))
% New rule produced :
% [449]
% (ld(ld(A,B),unit) mult ld(A,C)) mult A ->
% ld(ld(B,unit),(ld(B,unit) mult A) mult (ld(B,unit) mult C))
% Rule
% [235]
% (ld(A mult B,C) mult ld(ld(A mult B,A),unit)) mult (A mult B) ->
% (ld(A,C) mult B) mult A collapsed.
% Rule
% [325]
% (ld(ld(A,B),unit) mult ld(A,B mult C)) mult A -> (ld(B,A) mult C) mult B
% collapsed.
% Current number of equations to process: 2417
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [450]
% (ld(A,ld(ld(A,unit),C)) mult B) mult A <->
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult C)
% Current number of equations to process: 2505
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [451]
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult C) <->
% (ld(A,ld(ld(A,unit),C)) mult B) mult A
% Current number of equations to process: 2505
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [452]
% (ld(ld(A,unit),C) mult B) mult ld(A,unit) <->
% ld(A,((A mult B) mult ld(A,unit)) mult (A mult C))
% Current number of equations to process: 2508
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [453]
% ld(A,((A mult B) mult ld(A,unit)) mult (A mult C)) <->
% (ld(ld(A,unit),C) mult B) mult ld(A,unit)
% Current number of equations to process: 2508
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [454]
% (ld(ld(A,unit),C) mult ld(A,B)) mult A ->
% ld(ld(A,unit),(ld(A,unit) mult B) mult (A mult C))
% Current number of equations to process: 2568
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [455]
% (ld(ld(A,unit),C) mult B) mult A <->
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult (A mult C))
% Current number of equations to process: 2640
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [456]
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult (A mult C)) <->
% (ld(ld(A,unit),C) mult B) mult A
% Current number of equations to process: 2640
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [457]
% ((ld(ld(ld(A,unit),C),B) mult A) mult ld(A,unit)) mult (A mult C) ->
% (A mult B) mult ld(A,unit)
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [458]
% (((ld(ld(A,unit),C) mult B) mult A) mult A) mult ld(A,unit) ->
% (((A mult B) mult ld(A,unit)) mult (A mult C)) mult A
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [459]
% ld((A mult B) mult C,((A mult C) mult ld(C,unit)) mult ((B mult C) mult 
% ld(C,unit))) ->
% ld(C,unit)
% Current number of equations to process: 2836
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [460]
% (((B mult C) mult A) mult A) mult ld(A,unit) <->
% (((A mult B) mult ld(A,unit)) mult ((A mult C) mult ld(A,unit))) mult A
% Current number of equations to process: 2835
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [461]
% (((A mult B) mult ld(A,unit)) mult ((A mult C) mult ld(A,unit))) mult A <->
% (((B mult C) mult A) mult A) mult ld(A,unit)
% Current number of equations to process: 2835
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [462]
% ld((ld(ld(A,unit),B) mult C) mult A,((A mult C) mult ld(A,unit)) mult 
% (A mult B)) -> ld(A,unit)
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [463]
% ld(A,ld(B,ld(B,unit) mult A)) -> ld(ld(ld(A,ld(B,A)),unit),ld(A,ld(B,A)))
% Current number of equations to process: 3031
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [464]
% ld(A,ld(ld(B,unit),C) mult ld(B,A)) mult ld(A,ld(B,A)) ->
% ld(A,ld(B,A) mult C)
% Current number of equations to process: 3030
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [465] ld(ld(A,B),unit) mult ld(A,ld(A,unit)) -> ld(B,ld(A,B) mult ld(B,unit))
% Current number of equations to process: 3078
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [466] ld(A,(ld(B,unit) mult A) mult ld(B,A)) -> ld(A,ld(B,A)) mult ld(B,A)
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [467]
% ld(A,(ld(ld(B,A),C) mult ld(B,unit)) mult ld(B,A)) ->
% ld(A,ld(B,A)) mult ld(A,C)
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [468]
% ld(ld(A,ld(B,A)),ld(A,(ld(B,unit) mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C)
% Rule
% [409]
% ld(ld(A,ld(B,A)),ld(A,((B mult C) mult ld(B,unit)) mult ld(B,A))) ->
% ld(A,(B mult C) mult ld(B,A)) collapsed.
% Current number of equations to process: 3174
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [469]
% ld(C,ld(ld(A,C),(ld(A,C) mult B) mult C) mult ld(A,unit)) ->
% ld(A,unit) mult B
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [470]
% ld(ld(A,ld(B,A) mult C),ld(A,(ld(B,unit) mult C) mult ld(B,A))) ->
% ld(A,ld(B,A))
% Current number of equations to process: 3409
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [471]
% ld(A,ld(ld(B,unit),A) mult C) mult ld(A,ld(ld(B,unit),A)) ->
% ld(A,(B mult C) mult ld(ld(B,unit),A))
% Current number of equations to process: 3424
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [472]
% ld((ld(A,ld(ld(A,unit),B)) mult C) mult A,((A mult C) mult ld(A,unit)) mult B)
% -> ld(A,unit)
% Current number of equations to process: 3439
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [473]
% ld((ld(A,B) mult ld(A,C)) mult A,(ld(A,unit) mult B) mult (ld(A,unit) mult C))
% -> ld(A,unit)
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced : [474] ld(ld(A,B),ld(A,ld(A,unit) mult B)) -> ld(A,unit)
% Current number of equations to process: 3625
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced : [475] ld(ld(A,unit),ld(A,ld(A,unit) mult B)) -> ld(A,B)
% Current number of equations to process: 3625
% Current number of ordered equations: 0
% Current number of rules: 263
% Rule [427]
% (ld(ld(ld(ld(A,unit),A),unit),ld(ld(A,unit),A)) mult B) mult ld(A,unit)
% -> (ld(ld(A,unit),ld(ld(A,unit),A)) mult A) mult (ld(A,unit) mult B) is composed into 
% [427]
% (ld(ld(ld(ld(A,unit),A),unit),ld(ld(A,unit),A)) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),ld(ld(A,unit),A mult A))
% New rule produced : [476] ld(ld(A,unit),B) mult A -> ld(ld(A,unit),A mult B)
% Rule [367] ld(ld(A,unit),A) mult A -> ld(ld(A,unit),ld(ld(A,unit),A))
% collapsed.
% Rule
% [407]
% ld(A mult B,(ld(ld(B,unit),C) mult B) mult A) ->
% ld(ld(A mult B,A),ld(A mult B,(B mult C) mult A)) collapsed.
% Rule
% [434]
% ld(A,(ld(ld(B,unit),C) mult B) mult ld(B,A)) mult ld(A,ld(B,A)) ->
% ld(A,(B mult C) mult ld(B,A)) collapsed.
% Rule [438] ld(ld(ld(A,unit),B) mult A,A mult B) mult C -> ld(A,unit) mult C
% collapsed.
% Rule [439] ld(ld(ld(ld(A,unit),C) mult A,A mult C),unit) mult B -> A mult B
% collapsed.
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [477] ld(ld(A,B),ld(ld(A,B),unit) mult B) <-> ld(ld(A,B),unit) mult A
% Current number of equations to process: 3641
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [478] ld(ld(A,B),unit) mult A <-> ld(ld(A,B),ld(ld(A,B),unit) mult B)
% Rule [321] (A mult B) mult ld(ld(A mult B,B),unit) -> ld(ld(A,unit),A) mult B
% collapsed.
% Current number of equations to process: 3642
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [479]
% ld(ld(A mult B,B),ld(ld(A mult B,B),unit) mult B) -> ld(ld(A,unit),A) mult B
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [480] ld(A,ld(ld(ld(C,A),unit),B) mult C) mult ld(A,C) -> ld(A,B mult C)
% Current number of equations to process: 3795
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [481]
% (ld(A,ld(ld(A,unit),ld(A,ld(A,unit)))) mult B) mult A ->
% (ld(A,ld(A,unit)) mult B) mult A
% Current number of equations to process: 3794
% Current number of ordered equations: 0
% Current number of rules: 263
% Rule [478] ld(ld(A,B),unit) mult A <-> ld(ld(A,B),ld(ld(A,B),unit) mult B) is composed into 
% [478] ld(ld(A,B),unit) mult A -> ld(ld(A,B),ld(ld(A,B) mult ld(B,unit),unit))
% Rule [285]
% ld(A mult B,(ld(B,unit) mult A) mult ld(A,unit)) ->
% ld(A mult B,ld(A mult B,unit) mult A) is composed into [285]
% ld(A mult B,
% (ld(B,unit) mult A) mult 
% ld(A,unit)) ->
% ld(A mult B,
% ld((A mult B) mult 
% ld(A,unit),unit))
% New rule produced :
% [482] ld(A,ld(A,unit) mult B) <-> ld(A,ld(ld(B,unit) mult A,unit))
% Rule [477] ld(ld(A,B),ld(ld(A,B),unit) mult B) <-> ld(ld(A,B),unit) mult A
% collapsed.
% Rule
% [479]
% ld(ld(A mult B,B),ld(ld(A mult B,B),unit) mult B) -> ld(ld(A,unit),A) mult B
% collapsed.
% Current number of equations to process: 3843
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [483] ld(A,ld(ld(B,unit) mult A,unit)) <-> ld(A,ld(A,unit) mult B)
% Current number of equations to process: 3843
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [484] ld(ld(A,B mult C) mult ld(A,B),(ld(ld(B,A),unit) mult C) mult B) -> A
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [485]
% ld(ld(A mult B,B),ld(ld(A mult B,B) mult ld(B,unit),unit)) ->
% ld(ld(A,unit),A) mult B
% Current number of equations to process: 4038
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [486]
% (ld(A mult B,A) mult ld(A mult B,C)) mult (A mult B) ->
% (ld(A,C) mult ld(B,unit)) mult A
% Rule
% [238]
% (ld(A mult C,B mult C) mult ld(A mult C,C)) mult (A mult C) ->
% (ld(A,unit) mult B) mult C collapsed.
% Current number of equations to process: 4048
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [487]
% ld(A,ld(ld(A,unit),(ld(A,unit) mult B) mult (ld(A,unit) mult C))) ->
% ld(A,B) mult ld(A,C)
% Rule
% [448]
% ld(A,ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C))) ->
% ld(A,C) mult B collapsed.
% Current number of equations to process: 4047
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [488]
% ld(A mult B,ld(ld(B,unit),B mult C) mult A) ->
% ld(ld(A mult B,A),ld(A mult B,(B mult C) mult A))
% Current number of equations to process: 4197
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [489]
% ld(A,((ld(B,A) mult C) mult B) mult ld(A,unit)) ->
% (ld(ld(A,B),unit) mult ld(A,B mult C)) mult ld(A,unit)
% Current number of equations to process: 4196
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [490]
% (ld(ld(B,A),unit) mult C) mult B <->
% ld(ld(A,unit),((B mult C) mult ld(A,unit)) mult (ld(A,unit) mult B))
% Current number of equations to process: 4195
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [491]
% ld(ld(A,unit),((B mult C) mult ld(A,unit)) mult (ld(A,unit) mult B)) <->
% (ld(ld(B,A),unit) mult C) mult B
% Current number of equations to process: 4195
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [492]
% ld(A,((ld(ld(B,A),unit) mult C) mult B) mult ld(A,unit)) ->
% (ld(A,B mult C) mult ld(A,B)) mult ld(A,unit)
% Current number of equations to process: 4194
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [493]
% ld(ld(A,unit) mult B,B) mult ld(ld(A,unit) mult B,C) <->
% ld(ld(A,unit) mult B,(ld(B,C) mult A) mult B)
% Current number of equations to process: 4193
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [494]
% ld(ld(A,unit) mult B,(ld(B,C) mult A) mult B) <->
% ld(ld(A,unit) mult B,B) mult ld(ld(A,unit) mult B,C)
% Current number of equations to process: 4193
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [495]
% ld(A mult B,ld(ld(A,unit),C) mult B) ->
% ld(ld(A mult B,B),ld(A mult B,B mult C))
% Rule
% [259]
% ld(A mult B,ld(ld(A,unit),C) mult B) mult ld(A mult B,B) ->
% ld(A mult B,B mult C) collapsed.
% Rule
% [390]
% ld(A mult B,ld(ld(B,unit),ld(ld(B,unit),B)) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) collapsed.
% Rule [395] ld(A mult B,ld(ld(A,unit),A) mult B) -> ld(ld(A mult B,B),unit)
% collapsed.
% Rule
% [488]
% ld(A mult B,ld(ld(B,unit),B mult C) mult A) ->
% ld(ld(A mult B,A),ld(A mult B,(B mult C) mult A)) collapsed.
% Current number of equations to process: 4203
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [496]
% ld(ld(A mult B,A),ld(A mult B,ld((A mult B) mult ld(A,unit),unit))) ->
% ld(A mult B,unit)
% Current number of equations to process: 4313
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [497]
% ld(ld(A,unit),ld(ld(ld(A,unit),A),(A mult B) mult ld(A,unit))) ->
% ld(ld(ld(A,unit),A),A mult B)
% Current number of equations to process: 4313
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [498]
% ld(ld(A mult B,A) mult ld(A mult B,C),(ld(A,C) mult ld(B,unit)) mult A) ->
% A mult B
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [499]
% ld(A,unit) mult ld(B,(A mult B) mult (B mult C)) ->
% (ld(A,unit) mult C) mult (A mult B)
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [500]
% (ld(A,C) mult ld(B,unit)) mult (A mult B) <->
% ld(A,(A mult B) mult C) mult ld(B,unit)
% Current number of equations to process: 4619
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [501]
% ld(A,(A mult B) mult C) mult ld(B,unit) <->
% (ld(A,C) mult ld(B,unit)) mult (A mult B)
% Current number of equations to process: 4619
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [502]
% (ld(ld(A,B),unit) mult C) mult B <->
% ld(ld(A,B),unit) mult ld(A,(A mult C) mult B)
% Current number of equations to process: 4618
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [503]
% ld(ld(A,B),unit) mult ld(A,(A mult C) mult B) <->
% (ld(ld(A,B),unit) mult C) mult B
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [504]
% ld(ld(A,B),(ld(A,B) mult C) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult C) mult B
% Rule
% [469]
% ld(C,ld(ld(A,C),(ld(A,C) mult B) mult C) mult ld(A,unit)) ->
% ld(A,unit) mult B collapsed.
% Current number of equations to process: 4617
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [505]
% (ld(ld(A mult B,A),unit) mult ld(B,unit)) mult (A mult B) ->
% ((A mult B) mult B) mult ld(B,unit)
% Current number of equations to process: 4687
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [506]
% ld(A,((A mult B) mult ld(A,unit)) mult ld(A,unit)) ->
% (ld(A,unit) mult B) mult ld(A,unit)
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [507]
% (ld(ld(B,unit),B) mult A) mult ld(A mult B,unit) ->
% (A mult B) mult ld(A,unit)
% Current number of equations to process: 4845
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [508] ld(ld(A,B),unit) mult ld(A,unit) -> ld(B,unit)
% Rule [224] ld(A mult B,unit) mult ld(ld(A mult B,A),unit) -> ld(A,unit)
% collapsed.
% Current number of equations to process: 4895
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [509] ld(ld(A mult B,unit),ld(A,unit)) <-> ld(ld(A mult B,A),unit)
% Current number of equations to process: 4894
% Current number of ordered equations: 1
% Current number of rules: 281
% Rule [403]
% ld(A,ld(ld(A,unit) mult B,((A mult B) mult B) mult ld(A,unit))) ->
% ld(ld(ld(A,unit) mult B,ld(A,unit)),unit) is composed into [403]
% ld(A,
% ld(ld(A,unit) mult B,
% ((A mult B) mult B) mult 
% ld(A,unit)))
% ->
% ld(ld(
% ld(A,unit) mult B,unit),
% ld(ld(A,unit),unit))
% Rule [332]
% ld(ld(A,B) mult B,(A mult B) mult ld(A,B)) ->
% ld(ld(A,B),ld(ld(ld(A,B) mult B,ld(A,B)),unit)) is composed into 
% [332]
% ld(ld(A,B) mult B,(A mult B) mult ld(A,B)) ->
% ld(ld(A,B),ld(ld(ld(A,B) mult B,unit),ld(ld(A,B),unit)))
% New rule produced :
% [510] ld(ld(A mult B,A),unit) <-> ld(ld(A mult B,unit),ld(A,unit))
% Rule
% [384]
% ld(ld(ld(ld(A,unit) mult B,ld(A,unit)),unit),A) -> ld(ld(A,unit) mult B,unit)
% collapsed.
% Rule
% [394]
% ld(ld(A,unit) mult B,A) mult ld(ld(ld(A,unit) mult B,ld(A,unit)),unit) ->
% ld(ld(A,unit),A) collapsed.
% Rule
% [417]
% ld(ld(ld(A,unit),A) mult B,ld(ld(A,unit),ld(ld(A,unit),A))) mult ld(ld(
% ld(
% ld(A,unit),A) mult B,
% ld(
% ld(A,unit),A)),unit)
% -> A collapsed.
% Current number of equations to process: 4896
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [511] ld(ld(ld(A mult B,A),unit),ld(A,unit)) -> ld(A mult B,unit)
% Current number of equations to process: 4894
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [512] ld(ld(ld(A,ld(A,unit)),B) mult A,A mult B) -> ld(A,ld(A,unit))
% Rule [226] ld(ld(ld(A,ld(A,unit)),B) mult A,A mult B) mult A -> ld(A,unit)
% collapsed.
% Current number of equations to process: 4970
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [513] ld(ld(ld(A,ld(A,unit)),ld(A,B)) mult A,B) mult A -> ld(A,unit)
% Current number of equations to process: 4969
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [514]
% (B mult C) mult ld(A,unit) <->
% ld(A,((A mult B) mult ld(A,unit)) mult ((A mult C) mult ld(A,unit)))
% Current number of equations to process: 4969
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [515]
% ld(A,((A mult B) mult ld(A,unit)) mult ((A mult C) mult ld(A,unit))) <->
% (B mult C) mult ld(A,unit)
% Current number of equations to process: 4969
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [516]
% ld(A,unit) mult ld(B,ld(A mult B,B mult C)) -> ld(A mult B,ld(A,unit) mult C)
% Current number of equations to process: 4973
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [517] ld(ld(A,B),ld(ld(A,B),unit) mult ld(A,ld(A,unit) mult B)) -> ld(B,unit)
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [518] ld(ld(B,A),unit) mult ld(B,ld(ld(A,B),C)) -> ld(A,ld(B,A mult C))
% Current number of equations to process: 2022
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [519]
% ld(A,(A mult B) mult ld(A,ld(A mult B,A mult C))) -> ld(A,ld(B,C)) mult B
% Rule
% [239]
% ld(A,(A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))) -> ld(A,C) mult B
% collapsed.
% Current number of equations to process: 2024
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [520]
% ld(A mult B,ld(B,C)) mult ld(ld(A mult B,A),unit) ->
% ld(A,ld(A mult B,A mult C))
% Current number of equations to process: 2023
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [521]
% ((A mult B) mult ld(A,ld(A mult B,A mult C))) mult B ->
% (ld(A mult B,C) mult B) mult (A mult B)
% Rule
% [424]
% ((A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))) mult B ->
% (ld(A mult B,B mult C) mult B) mult (A mult B) collapsed.
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [522]
% (ld(ld(A,B),C) mult ld(A,unit)) mult (ld(A,unit) mult B) <->
% (ld(A,ld(B,A mult C)) mult B) mult ld(A,unit)
% Current number of equations to process: 2267
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [523]
% (ld(A,ld(B,A mult C)) mult B) mult ld(A,unit) <->
% (ld(ld(A,B),C) mult ld(A,unit)) mult (ld(A,unit) mult B)
% Current number of equations to process: 2267
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [524]
% ld(ld(A,ld(B,C)) mult B,(A mult B) mult ld(A,ld(A mult B,A mult C))) -> A
% Current number of equations to process: 2266
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [525]
% (ld(ld(A,B),ld(B,(A mult C) mult ld(A,B))) mult B) mult A ->
% (ld(B,A mult C) mult A) mult B
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 291
% Rule [364]
% ld(A,(A mult B) mult ld(B,ld(ld(A mult B,B),unit))) ->
% ld(ld(A,B),unit) mult B is composed into [364]
% ld(A,(A mult B) mult ld(B,
% ld(
% ld(
% A mult B,B),unit)))
% ->
% ld(ld(A,B) mult ld(B,unit),unit)
% Rule [330]
% ld(A mult B,(((A mult B) mult A) mult B) mult A) ->
% (ld(ld(A mult B,A),unit) mult A) mult A is composed into [330]
% ld(A mult B,
% (((A mult B) mult A) mult B) mult A)
% ->
% ld(ld(A mult B,A) mult 
% ld(A,unit),unit) mult A
% Rule [326]
% ld(A mult B,((((A mult B) mult A) mult A) mult B) mult A) ->
% ((ld(ld(A mult B,A),unit) mult A) mult A) mult A is composed into 
% [326]
% ld(A mult B,((((A mult B) mult A) mult A) mult B) mult A) ->
% (ld(ld(A mult B,A) mult ld(A,unit),unit) mult A) mult A
% Rule [306]
% ld(B,(A mult B) mult ld(A,B)) -> ld(ld(B,ld(A,B)),unit) mult ld(A,B) is composed into 
% [306]
% ld(B,(A mult B) mult ld(A,B)) -> ld(ld(ld(A,B),unit) mult ld(B,ld(A,B)),unit)
% Rule [158]
% ld(ld(ld(A,B),unit) mult A,A) mult A <->
% ld(ld(ld(A,B),unit) mult A,(ld(ld(A,B),unit) mult B) mult A) is composed into 
% [158]
% ld(ld(ld(A,B),unit) mult A,A) mult A ->
% ld(ld(ld(A,B),unit) mult A,ld(ld(A,B) mult ld(B,unit),unit) mult A)
% Rule [141]
% ld(A mult B,((A mult B) mult A) mult B) ->
% ld(ld(A mult B,B),unit) mult B is composed into [141]
% ld(A mult B,((A mult B) mult A) mult B)
% ->
% ld(ld(A mult B,B) mult 
% ld(B,unit),unit)
% New rule produced :
% [526] ld(ld(A,B),unit) mult B -> ld(ld(A,B) mult ld(B,unit),unit)
% Rule
% [159]
% ld(ld(ld(A,B),unit) mult A,(ld(ld(A,B),unit) mult B) mult A) <->
% ld(ld(ld(A,B),unit) mult A,A) mult A collapsed.
% Rule
% [320]
% ((ld(ld(A mult B,A),unit) mult A) mult A) mult (A mult B) ->
% (((A mult B) mult A) mult B) mult A collapsed.
% Rule
% [329]
% (ld(ld(A mult B,A),unit) mult A) mult (A mult B) ->
% ((A mult B) mult B) mult A collapsed.
% Rule
% [331]
% ld(ld(ld(A mult B,A),unit) mult A,((A mult B) mult B) mult A) -> A mult B
% collapsed.
% Rule [383] ld(ld(ld(A,B),unit) mult A,ld(ld(A,B),unit) mult B) -> ld(A,B)
% collapsed.
% Rule
% [400]
% (((ld(ld(A mult B,A),unit) mult A) mult A) mult A) mult (A mult B) ->
% ((((A mult B) mult A) mult A) mult B) mult A collapsed.
% Rule
% [402]
% ld((ld(ld(A mult B,A),unit) mult A) mult A,(((A mult B) mult A) mult B) mult A)
% -> A mult B collapsed.
% Current number of equations to process: 2624
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [527]
% (A mult B) mult ld(ld(A mult B,A) mult ld(A,unit),unit) ->
% ((A mult B) mult B) mult A
% Current number of equations to process: 2624
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [528]
% ld(ld(ld(A mult B,A) mult ld(A,unit),unit),((A mult B) mult B) mult A) ->
% A mult B
% Current number of equations to process: 2623
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [529]
% (ld(ld(A mult B,A) mult ld(A,unit),unit) mult A) mult (A mult B) ->
% (((A mult B) mult A) mult B) mult A
% Current number of equations to process: 2622
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [530] ld(ld(ld(A,B),unit) mult ld(A,C),(ld(B,A) mult ld(B,C)) mult B) -> A
% Current number of equations to process: 2931
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [531]
% ld(ld(A,B),ld(ld(A,B),ld(B,(A mult C) mult ld(A,B))) mult B) ->
% ld(ld(A,B),C) mult A
% Current number of equations to process: 2929
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [532]
% ld(ld(B,C) mult A,B) mult ld(ld(ld(B,C) mult A,A),unit) ->
% ld(A,ld(ld(B,C) mult A,A mult C))
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [533]
% (ld(ld(A,unit),A mult B) mult ld(A,ld(A,unit))) mult ld(A,unit) ->
% (A mult B) mult ld(A,ld(A,unit))
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 292
% Rule [481]
% (ld(A,ld(ld(A,unit),ld(A,ld(A,unit)))) mult B) mult A ->
% (ld(A,ld(A,unit)) mult B) mult A is composed into [481]
% (ld(A,ld(ld(A,unit),
% ld(A,ld(A,unit)))) mult B) mult A
% ->
% (A mult B) mult 
% ld(A,ld(A,unit))
% New rule produced :
% [534] (ld(B,ld(B,unit)) mult A) mult B -> (A mult B) mult ld(B,ld(B,unit))
% Current number of equations to process: 3352
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [535]
% (ld(B,ld(B,ld(A,C))) mult A) mult B ->
% (A mult B) mult ld(B,ld(B,ld(A mult B,B mult C)))
% Current number of equations to process: 3351
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [536]
% ld(ld(B,A),unit) mult ld(B,ld(A,C)) -> ld(A,ld(ld(B,A),unit) mult ld(B,C))
% Rule
% [310]
% ld(ld(B,ld(A,B)),unit) mult ld(B,ld(ld(A,B),unit)) ->
% ld(ld(A,B),ld(ld(A,B),unit)) collapsed.
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [537]
% ld(A,(A mult B) mult ld(A,ld(A,ld(A mult B,(B mult C) mult A)))) ->
% ld(A,ld(A,C)) mult B
% Current number of equations to process: 3757
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [538] ld(A,((ld(ld(B,A),unit) mult ld(B,C)) mult A) mult B) -> ld(A,B) mult C
% Current number of equations to process: 4283
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [539]
% ld(A,(ld(B,C) mult A) mult B) <-> ld(ld(A,B),ld(B,ld(A,B) mult C)) mult B
% Rule
% [250]
% ld(A,(ld(A mult B,C) mult A) mult (A mult B)) ->
% (A mult B) mult ld(B,ld(A mult B,B mult C)) collapsed.
% Current number of equations to process: 4316
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [540]
% ld(ld(A,B),ld(B,ld(A,B) mult C)) mult B <-> ld(A,(ld(B,C) mult A) mult B)
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [541]
% ((ld(ld(C,A),unit) mult ld(C,A mult B)) mult A) mult C ->
% ((A mult B) mult ld(A,C)) mult A
% Current number of equations to process: 4421
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [542]
% ld(A,ld(B,(ld(C,A mult B) mult B) mult C)) ->
% ld(ld(A,ld(B,C)),unit) mult ld(A,C)
% Current number of equations to process: 4518
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [543]
% ld(ld(A,B),ld(A,(ld(B,A mult C) mult A) mult B)) -> ld(ld(A,B),C) mult A
% Current number of equations to process: 4547
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [544]
% ld(A,ld(B,(ld(A,B mult C) mult B) mult A)) ->
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A)))
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [545]
% ld(A mult C,((ld(C,unit) mult B) mult (A mult C)) mult A) ->
% (A mult B) mult ld(A mult C,A)
% Current number of equations to process: 4779
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [546]
% ld(ld(ld(A,B),C) mult A,ld(A,(ld(B,A mult C) mult A) mult B)) -> ld(A,B)
% Current number of equations to process: 4778
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [547]
% (ld(ld(A,B),ld(A,unit) mult C) mult A) mult ld(A,B) <->
% ld(A,(ld(B,(A mult C) mult ld(A,unit)) mult A) mult B)
% Current number of equations to process: 4794
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced :
% [548]
% ld(A,(ld(B,(A mult C) mult ld(A,unit)) mult A) mult B) <->
% (ld(ld(A,B),ld(A,unit) mult C) mult A) mult ld(A,B)
% Current number of equations to process: 4794
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [549]
% ld(A,((ld(B,A mult C) mult A) mult B) mult ld(A,unit)) <->
% ((ld(ld(A,B),C) mult A) mult ld(A,B)) mult ld(A,unit)
% Current number of equations to process: 4793
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [550]
% ((ld(ld(A,B),C) mult A) mult ld(A,B)) mult ld(A,unit) <->
% ld(A,((ld(B,A mult C) mult A) mult B) mult ld(A,unit))
% Current number of equations to process: 4793
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [551]
% ld(A,ld(A,(ld(B,(A mult C) mult A) mult A) mult B)) <->
% (ld(ld(A,ld(A,B)),C) mult A) mult ld(A,ld(A,B))
% Current number of equations to process: 4792
% Current number of ordered equations: 1
% Current number of rules: 308
% New rule produced :
% [552]
% (ld(ld(A,ld(A,B)),C) mult A) mult ld(A,ld(A,B)) <->
% ld(A,ld(A,(ld(B,(A mult C) mult A) mult A) mult B))
% Current number of equations to process: 4792
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [553]
% ld(A mult B,((A mult B) mult ld(A,ld(A,unit))) mult B) ->
% ld(ld(ld(A mult B,B),unit),ld(A mult B,B)) mult B
% Current number of equations to process: 1429
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [554]
% ld(A mult B,(((A mult C) mult ld(A,unit)) mult B) mult A) <->
% (ld(A mult B,(B mult C) mult A) mult A) mult ld(A,unit)
% Current number of equations to process: 1502
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [555]
% (ld(A mult B,(B mult C) mult A) mult A) mult ld(A,unit) <->
% ld(A mult B,(((A mult C) mult ld(A,unit)) mult B) mult A)
% Current number of equations to process: 1502
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [556]
% ld(A mult B,((ld(A,B) mult ld(A,C)) mult A) mult A) ->
% ld(A,ld(A mult B,((ld(A,B) mult C) mult A) mult A))
% Current number of equations to process: 1760
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [557]
% ld(ld(A mult B,A mult C) mult ld(ld(A mult B,A),unit),(B mult C) mult A) ->
% A mult B
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [558]
% (ld(B,unit) mult A) mult ld(A,unit) -> ld((A mult B) mult ld(A,unit),unit)
% Rule
% [285]
% ld(A mult B,(ld(B,unit) mult A) mult ld(A,unit)) ->
% ld(A mult B,ld((A mult B) mult ld(A,unit),unit)) collapsed.
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [559]
% ld(ld(A,unit) mult C,ld(C,(ld(A,unit) mult C) mult (B mult C)) mult A) ->
% A mult B
% Current number of equations to process: 2289
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [560]
% ld(A mult B,A) mult ld(ld(A mult B,ld(C,unit) mult A),unit) <->
% ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 2292
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [561]
% ld(A mult B,(B mult C) mult A) <->
% ld(A mult B,A) mult ld(ld(A mult B,ld(C,unit) mult A),unit)
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [562]
% ld(ld(ld(ld(A,unit) mult B,B),unit),ld(ld(A,unit) mult B,B)) ->
% ld(ld(A,unit) mult B,A mult B)
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [563]
% ld(ld(A,ld(A,unit)),ld(A,unit) mult B) mult A ->
% ld(ld(A,ld(A,unit)),(A mult B) mult ld(A,unit))
% Current number of equations to process: 2563
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [564]
% ld(ld(ld(ld(A mult B,B),unit),ld(A mult B,B)),ld(A,unit) mult B) -> A mult B
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [565] ld(ld(A,B) mult C,((ld(ld(B,A),unit) mult ld(B,C)) mult A) mult B) -> A
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [566]
% ld(ld(ld(A,B),ld(B,ld(A,B) mult C)) mult B,(ld(B,C) mult A) mult B) -> A
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [567]
% ld(A,((ld(A mult B,A) mult A) mult A) mult (A mult B)) ->
% ((ld(B,unit) mult A) mult A) mult B
% Current number of equations to process: 3379
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [568]
% ld(A,((ld(B,A mult C) mult A) mult A) mult B) <->
% ((ld(ld(A,B),C) mult A) mult A) mult ld(A,B)
% Current number of equations to process: 3378
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [569]
% ((ld(ld(A,B),C) mult A) mult A) mult ld(A,B) <->
% ld(A,((ld(B,A mult C) mult A) mult A) mult B)
% Current number of equations to process: 3378
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [570]
% ld(A,((ld(A mult B,C) mult A) mult A) mult (A mult B)) ->
% ((ld(B,ld(A,C)) mult A) mult A) mult B
% Rule
% [291]
% ld(A,((ld(A mult B,A mult C) mult A) mult A) mult (A mult B)) ->
% ((ld(B,C) mult A) mult A) mult B collapsed.
% Rule
% [567]
% ld(A,((ld(A mult B,A) mult A) mult A) mult (A mult B)) ->
% ((ld(B,unit) mult A) mult A) mult B collapsed.
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [571]
% ld(ld(ld(A,B),unit) mult ld(B,ld(A,B)),unit) mult B ->
% (A mult B) mult ld(A,B)
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [572]
% ld(ld(A,B),ld(ld(ld(A,B),unit) mult ld(B,ld(A,B)),unit)) ->
% ld(ld(B,ld(A,B)),unit)
% Current number of equations to process: 4354
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [573]
% ld(ld(A,ld(B,C)),ld(ld(B,A),ld(A,ld(B,A) mult C))) -> ld(ld(A,ld(B,A)),unit)
% Current number of equations to process: 4401
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [574]
% ld(ld(ld(ld(A,B),A),unit) mult ld(A,ld(ld(A,B),A)),unit) ->
% ld(A,ld(ld(A,B),A) mult B)
% Current number of equations to process: 4754
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [575]
% ld(ld(ld(ld(A,B),unit) mult ld(B,ld(A,B)),unit),(A mult B) mult ld(A,B)) -> B
% Current number of equations to process: 4753
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [576]
% ld(ld(ld(A,ld(B,A)),unit),ld(ld(B,A),ld(A,ld(B,A) mult C))) -> ld(A,ld(B,C))
% Current number of equations to process: 4752
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [577]
% ld(ld(A,ld(ld(B,C),A)),unit) mult ld(A,B) ->
% ld(ld(ld(B,C),A),ld(A,ld(ld(B,C),A) mult C))
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [578]
% ld(ld(A,B),ld(ld(A,B),ld(B,ld(A,B) mult C)) mult B) ->
% ld(ld(A,B),ld(A,C)) mult A
% Rule
% [531]
% ld(ld(A,B),ld(ld(A,B),ld(B,(A mult C) mult ld(A,B))) mult B) ->
% ld(ld(A,B),C) mult A collapsed.
% Current number of equations to process: 4750
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [579]
% ld(A,((A mult C) mult B) mult ld(B,A)) <->
% (ld(ld(A,ld(B,A)),unit) mult C) mult ld(B,A)
% Rule
% [389]
% ld(A,((A mult B) mult ld(A,unit)) mult ld(ld(A,unit),A)) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),A) collapsed.
% Current number of equations to process: 1881
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [580]
% (ld(ld(A,ld(B,A)),unit) mult C) mult ld(B,A) <->
% ld(A,((A mult C) mult B) mult ld(B,A))
% Current number of equations to process: 1881
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [581]
% (ld(A mult B,C) mult ld(ld(A mult B,B),unit)) mult B ->
% ld(A mult B,(A mult C) mult B)
% Current number of equations to process: 1880
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [582]
% (ld(ld(A,B),unit) mult ld(A,C)) mult B ->
% ld(ld(A,B),unit) mult ld(A,B mult C)
% Rule
% [309]
% (ld(ld(A,ld(B,A)),unit) mult ld(A,C)) mult ld(B,A) ->
% ld(A,(B mult C) mult ld(B,A)) collapsed.
% Rule
% [538] ld(A,((ld(ld(B,A),unit) mult ld(B,C)) mult A) mult B) -> ld(A,B) mult C
% collapsed.
% Rule
% [541]
% ((ld(ld(C,A),unit) mult ld(C,A mult B)) mult A) mult C ->
% ((A mult B) mult ld(A,C)) mult A collapsed.
% Rule
% [565] ld(ld(A,B) mult C,((ld(ld(B,A),unit) mult ld(B,C)) mult A) mult B) -> A
% collapsed.
% Rule
% [581]
% (ld(A mult B,C) mult ld(ld(A mult B,B),unit)) mult B ->
% ld(A mult B,(A mult C) mult B) collapsed.
% Current number of equations to process: 1894
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [583]
% ld(ld(A,B) mult C,ld(ld(A,unit),((A mult C) mult ld(A,unit)) mult (ld(A,unit) mult B)))
% -> A
% Current number of equations to process: 1895
% Current number of ordered equations: 0
% Current number of rules: 330
% Rule [579]
% ld(A,((A mult C) mult B) mult ld(B,A)) <->
% (ld(ld(A,ld(B,A)),unit) mult C) mult ld(B,A) is composed into [579]
% ld(A,
% ((A mult C) mult B) mult 
% ld(B,A))
% <->
% (ld(
% ld(A,unit),
% ld(
% ld(B,A),unit)) mult C) mult 
% ld(B,A)
% Rule [573]
% ld(ld(A,ld(B,C)),ld(ld(B,A),ld(A,ld(B,A) mult C))) ->
% ld(ld(A,ld(B,A)),unit) is composed into [573]
% ld(ld(A,ld(B,C)),ld(ld(B,A),
% ld(A,ld(B,A) mult C)))
% ->
% ld(ld(A,unit),ld(ld(B,A),unit))
% Rule [572]
% ld(ld(A,B),ld(ld(ld(A,B),unit) mult ld(B,ld(A,B)),unit)) ->
% ld(ld(B,ld(A,B)),unit) is composed into [572]
% ld(ld(A,B),ld(ld(ld(A,B),unit) mult 
% ld(B,ld(A,B)),unit))
% ->
% ld(ld(B,unit),ld(ld(A,B),unit))
% Rule [463]
% ld(A,ld(B,ld(B,unit) mult A)) ->
% ld(ld(ld(A,ld(B,A)),unit),ld(A,ld(B,A))) is composed into [463]
% ld(A,ld(B,
% ld(B,unit) mult A))
% ->
% ld(ld(
% ld(A,unit),
% ld(
% ld(B,A),unit)),
% ld(A,ld(B,A)))
% Rule [430]
% ld(ld(A,ld(ld(B,C),A) mult B),ld(A,ld(ld(B,C),A) mult C)) ->
% ld(ld(A,ld(ld(B,C),A)),unit) is composed into [430]
% ld(ld(A,ld(ld(B,C),A) mult B),
% ld(A,ld(ld(B,C),A) mult C))
% ->
% ld(ld(A,unit),ld(ld(
% ld(B,C),A),unit))
% Rule [373] ld(A,ld(B,ld(ld(B,unit),B) mult A)) -> ld(ld(A,ld(B,A)),unit) is composed into 
% [373] ld(A,ld(B,ld(ld(B,unit),B) mult A)) -> ld(ld(A,unit),ld(ld(B,A),unit))
% Rule [317]
% ld(A,ld(B,A) mult ld(B,C)) ->
% ld(ld(ld(A,ld(B,A)),unit),ld(A,ld(B,A) mult C)) is composCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------