%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP722-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n076.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  : GRP722-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n076.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 01:25:03 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_22839_n076.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);
% (A mult A) mult (B mult B) = f(A,B) mult f(A,B);
% ";
% 
% 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 "
% mult > ld > f > unit > a > b";
% 
% let s2 = status F "
% b mul;
% a mul;
% f mul;
% ld mul;
% mult mul;
% unit mul;
% ";
% 
% let p2 = precedence F "
% mult > ld > f > 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 " f(a,b) = f(b,a);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { 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),
% (A mult A) mult (B mult B) = f(A,B) mult f(A,B) }
% (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 = { f(a,b) = f(b,a) } (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: 8
% 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: 7
% 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: 4
% Current number of rules: 3
% New rule produced : [4] f(A,B) mult f(A,B) <-> (A mult A) mult (B mult B)
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 4
% New rule produced : [5] (A mult A) mult (B mult B) <-> f(A,B) mult f(A,B)
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 5
% New rule produced :
% [6]
% 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: 20
% Current number of rules: 6
% New rule produced :
% [7]
% 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: 19
% Current number of rules: 7
% New rule produced : [8] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 17
% Current number of rules: 8
% New rule produced : [9] ld(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 16
% Current number of rules: 9
% New rule produced : [10] ld(ld(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 15
% Current number of rules: 10
% New rule produced : [11] f(unit,A) mult f(unit,A) -> A mult A
% Current number of equations to process: 0
% Current number of ordered equations: 14
% Current number of rules: 11
% New rule produced : [12] f(A,unit) mult f(A,unit) -> A mult A
% Current number of equations to process: 0
% Current number of ordered equations: 13
% Current number of rules: 12
% New rule produced : [13] f(A,B) mult f(A,B) <-> f(B,A) mult f(B,A)
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 13
% New rule produced : [14] ld(f(A,B),(A mult A) mult (B mult B)) -> f(A,B)
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 14
% New rule produced : [15] ld(A mult A,f(A,B) mult f(A,B)) -> B mult B
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 15
% New rule produced : [16] ld(A mult A,f(B,A) mult f(B,A)) -> B mult B
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 16
% New rule produced :
% [17]
% f(A mult A,B) mult f(A mult A,B) <-> (f(A,A) mult f(A,A)) mult (B mult B)
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 17
% New rule produced :
% [18]
% (f(A,A) mult f(A,A)) mult (B mult B) <-> f(A mult A,B) mult f(A mult A,B)
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 18
% New rule produced :
% [19]
% (f(A,A) mult f(A,A)) mult (B mult B) <-> f(B,A mult A) mult f(B,A mult A)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 19
% New rule produced :
% [20]
% f(B,A mult A) mult f(B,A mult A) <-> (f(A,A) mult f(A,A)) mult (B mult B)
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 20
% New rule produced :
% [21]
% ((A mult A) mult (B mult B)) mult (C mult C) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 21
% New rule produced :
% [22]
% ((A mult A) mult (B mult B)) mult (C mult C) <-> f(C,f(A,B)) mult f(C,f(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 22
% New rule produced :
% [23]
% f(f(A,B),C) mult f(f(A,B),C) <-> ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [24]
% f(C,f(A,B)) mult f(C,f(A,B)) <-> ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% 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: 25
% New rule produced :
% [26]
% 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: 26
% New rule produced :
% [27]
% 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: 18
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [28]
% 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: 18
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [29] ld(f(unit,A),A mult A) -> f(unit,A)
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30] (A mult A) mult (B mult B) <-> f(A,f(unit,B)) mult f(A,f(unit,B))
% Current number of equations to process: 36
% Current number of ordered equations: 3
% Current number of rules: 30
% New rule produced :
% [31] (A mult A) mult (B mult B) <-> f(f(unit,A),B) mult f(f(unit,A),B)
% Current number of equations to process: 36
% Current number of ordered equations: 2
% Current number of rules: 31
% New rule produced :
% [32] f(A,f(unit,B)) mult f(A,f(unit,B)) <-> (A mult A) mult (B mult B)
% Current number of equations to process: 36
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [33] f(f(unit,A),B) mult f(f(unit,A),B) <-> (A mult A) mult (B mult B)
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [34] ld(f(A,unit),A mult A) -> f(A,unit)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [35] (A mult A) mult (B mult B) <-> f(A,f(B,unit)) mult f(A,f(B,unit))
% Current number of equations to process: 39
% Current number of ordered equations: 3
% Current number of rules: 35
% New rule produced :
% [36] (A mult A) mult (B mult B) <-> f(f(A,unit),B) mult f(f(A,unit),B)
% Current number of equations to process: 39
% Current number of ordered equations: 2
% Current number of rules: 36
% New rule produced :
% [37] f(A,f(B,unit)) mult f(A,f(B,unit)) <-> (A mult A) mult (B mult B)
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [38] f(f(A,unit),B) mult f(f(A,unit),B) <-> (A mult A) mult (B mult B)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [39] (A mult A) mult (B mult B) <-> f(B,A) mult f(B,A)
% Current number of equations to process: 45
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced : [40] f(B,A) mult f(B,A) <-> (A mult A) mult (B mult B)
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [41] ld(f(A,B),f(B,A) mult f(B,A)) -> f(A,B)
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [42] (f(A,B) mult f(A,B)) mult (C mult C) <-> f(f(B,A),C) mult f(f(B,A),C)
% Current number of equations to process: 42
% Current number of ordered equations: 3
% Current number of rules: 42
% New rule produced :
% [43] (f(A,B) mult f(A,B)) mult (C mult C) <-> f(C,f(B,A)) mult f(C,f(B,A))
% Current number of equations to process: 42
% Current number of ordered equations: 2
% Current number of rules: 43
% New rule produced :
% [44] f(f(B,A),C) mult f(f(B,A),C) <-> (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 42
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [45] f(C,f(B,A)) mult f(C,f(B,A)) <-> (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [46] ld(f(A,f(unit,B)),(A mult A) mult (B mult B)) -> f(A,f(unit,B))
% Current number of equations to process: 58
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [47] ld(f(f(unit,A),B),(A mult A) mult (B mult B)) -> f(f(unit,A),B)
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [48] ld(f(A,f(B,unit)),(A mult A) mult (B mult B)) -> f(A,f(B,unit))
% Current number of equations to process: 56
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [49] ld(f(f(A,unit),B),(A mult A) mult (B mult B)) -> f(f(A,unit),B)
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [50] ld(A mult A,f(f(unit,A),B) mult f(f(unit,A),B)) -> B mult B
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [51] ld(A mult A,f(f(A,unit),B) mult f(f(A,unit),B)) -> B mult B
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [52] ld(A mult A,f(B,f(unit,A)) mult f(B,f(unit,A))) -> B mult B
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [53] ld(A mult A,f(B,f(A,unit)) mult f(B,f(A,unit))) -> B mult B
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [54]
% ld(f(f(A,B),C),((A mult A) mult (B mult B)) mult (C mult C)) -> f(f(A,B),C)
% Current number of equations to process: 67
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [55]
% ld(f(A,f(B,C)),((B mult B) mult (C mult C)) mult (A mult A)) -> f(A,f(B,C))
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [56] ld(f(A,B mult B),(f(B,B) mult f(B,B)) mult (A mult A)) -> f(A,B mult B)
% Current number of equations to process: 65
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [57] ld(f(A mult A,B),(f(A,A) mult f(A,A)) mult (B mult B)) -> f(A mult A,B)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [58] ld(f(f(A,B),C),(f(B,A) mult f(B,A)) mult (C mult C)) -> f(f(A,B),C)
% Current number of equations to process: 63
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [59] ld(f(A,f(B,C)),(f(C,B) mult f(C,B)) mult (A mult A)) -> f(A,f(B,C))
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [60] f(A,f(A,unit)) mult f(A,f(A,unit)) -> f(A,A) mult f(A,A)
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 60
% Rule [18]
% (f(A,A) mult f(A,A)) mult (B mult B) <->
% f(A mult A,B) mult f(A mult A,B) is composed into [18]
% (f(A,A) mult f(A,A)) mult 
% (B mult B) <->
% f(f(A,A),B) mult 
% f(f(A,A),B)
% New rule produced :
% [61] f(A mult A,B) mult f(A mult A,B) -> f(f(A,A),B) mult f(f(A,A),B)
% Rule
% [17]
% f(A mult A,B) mult f(A mult A,B) <-> (f(A,A) mult f(A,A)) mult (B mult B)
% collapsed.
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [62] f(f(unit,unit),A) mult f(f(unit,unit),A) -> A mult A
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 61
% Rule [19]
% (f(A,A) mult f(A,A)) mult (B mult B) <->
% f(B,A mult A) mult f(B,A mult A) is composed into [19]
% (f(A,A) mult f(A,A)) mult 
% (B mult B) <->
% f(B,f(A,A)) mult 
% f(B,f(A,A))
% New rule produced :
% [63] f(A,B mult B) mult f(A,B mult B) -> f(A,f(B,B)) mult f(A,f(B,B))
% Rule
% [20]
% f(B,A mult A) mult f(B,A mult A) <-> (f(A,A) mult f(A,A)) mult (B mult B)
% collapsed.
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [64] f(A,f(unit,unit)) mult f(A,f(unit,unit)) -> A mult A
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [65] (A mult A) mult (B mult B) <-> f(B,f(unit,A)) mult f(B,f(unit,A))
% Current number of equations to process: 149
% Current number of ordered equations: 3
% Current number of rules: 63
% New rule produced :
% [66] (A mult A) mult (B mult B) <-> f(B,f(A,unit)) mult f(B,f(A,unit))
% Current number of equations to process: 149
% Current number of ordered equations: 2
% Current number of rules: 64
% New rule produced :
% [67] f(B,f(unit,A)) mult f(B,f(unit,A)) <-> (A mult A) mult (B mult B)
% Current number of equations to process: 149
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [68] f(B,f(A,unit)) mult f(B,f(A,unit)) <-> (A mult A) mult (B mult B)
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [69] f(f(A,B),C) mult f(f(A,B),C) <-> f(f(B,A),C) mult f(f(B,A),C)
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [70] f(f(A,B),C) mult f(f(A,B),C) <-> f(C,f(B,A)) mult f(C,f(B,A))
% Current number of equations to process: 177
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [71] f(C,f(B,A)) mult f(C,f(B,A)) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [72] f(A,f(B,C)) mult f(A,f(B,C)) <-> f(A,f(C,B)) mult f(A,f(C,B))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [73] ld(A mult B,((A mult A) mult B) mult A) -> A mult A
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [74]
% 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: 224
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [75]
% 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: 223
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [76]
% 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: 222
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [77] ld((A mult A) mult B,(f(A,B) mult f(A,B)) mult B) -> B mult B
% Current number of equations to process: 282
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [78] ld((A mult A) mult B,(f(B,A) mult f(B,A)) mult B) -> B mult B
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [79]
% 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: 281
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [80]
% (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: 280
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [81] ld(f(unit,A) mult B,((A mult A) mult B) mult f(unit,A)) -> A mult A
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [82] ld(f(A,unit) mult B,((A mult A) mult B) mult f(A,unit)) -> A mult A
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [83]
% 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: 324
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [84]
% (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: 324
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [85] ld((A mult A) mult (B mult B),f(f(A,B),C) mult f(f(A,B),C)) -> C mult C
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [86] ld(f(A,B) mult f(A,B),f(f(B,A),C) mult f(f(B,A),C)) -> C mult C
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [87] ld((A mult A) mult (B mult B),f(C,f(A,B)) mult f(C,f(A,B))) -> C mult C
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [88] ld(f(A,B) mult f(A,B),f(C,f(B,A)) mult f(C,f(B,A))) -> C mult C
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [89]
% (f(A,A) mult f(A,A)) mult (B mult B) <->
% f(f(unit,B),f(A,A)) mult f(f(unit,B),f(A,A))
% Current number of equations to process: 314
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [90]
% f(f(unit,B),f(A,A)) mult f(f(unit,B),f(A,A)) <->
% (f(A,A) mult f(A,A)) mult (B mult B)
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [91]
% (f(A,A) mult f(A,A)) mult (B mult B) <->
% f(f(B,unit),f(A,A)) mult f(f(B,unit),f(A,A))
% Current number of equations to process: 313
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [92]
% f(f(B,unit),f(A,A)) mult f(f(B,unit),f(A,A)) <->
% (f(A,A) mult f(A,A)) mult (B mult B)
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [93]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(A,B),f(unit,C)) mult f(f(A,B),f(unit,C))
% Current number of equations to process: 309
% Current number of ordered equations: 5
% Current number of rules: 91
% New rule produced :
% [94]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(f(unit,A),B),C) mult f(f(f(unit,A),B),C)
% Current number of equations to process: 309
% Current number of ordered equations: 4
% Current number of rules: 92
% New rule produced :
% [95]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(B,f(unit,A)),C) mult f(f(B,f(unit,A)),C)
% Current number of equations to process: 309
% Current number of ordered equations: 3
% Current number of rules: 93
% New rule produced :
% [96]
% f(f(A,B),f(unit,C)) mult f(f(A,B),f(unit,C)) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 309
% Current number of ordered equations: 2
% Current number of rules: 94
% New rule produced :
% [97]
% f(f(f(unit,A),B),C) mult f(f(f(unit,A),B),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 309
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [98]
% f(f(B,f(unit,A)),C) mult f(f(B,f(unit,A)),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [99]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(A,B),f(C,unit)) mult f(f(A,B),f(C,unit))
% Current number of equations to process: 306
% Current number of ordered equations: 5
% Current number of rules: 97
% New rule produced :
% [100]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(f(A,unit),B),C) mult f(f(f(A,unit),B),C)
% Current number of equations to process: 306
% Current number of ordered equations: 4
% Current number of rules: 98
% New rule produced :
% [101]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(B,f(A,unit)),C) mult f(f(B,f(A,unit)),C)
% Current number of equations to process: 306
% Current number of ordered equations: 3
% Current number of rules: 99
% New rule produced :
% [102]
% f(f(A,B),f(C,unit)) mult f(f(A,B),f(C,unit)) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 306
% Current number of ordered equations: 2
% Current number of rules: 100
% New rule produced :
% [103]
% f(f(f(A,unit),B),C) mult f(f(f(A,unit),B),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 306
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [104]
% f(f(B,f(A,unit)),C) mult f(f(B,f(A,unit)),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [105]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B))
% Current number of equations to process: 302
% Current number of ordered equations: 5
% Current number of rules: 103
% New rule produced :
% [106]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A)))
% Current number of equations to process: 302
% Current number of ordered equations: 4
% Current number of rules: 104
% New rule produced :
% [107]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(unit,C),f(A,B)) mult f(f(unit,C),f(A,B))
% Current number of equations to process: 302
% Current number of ordered equations: 3
% Current number of rules: 105
% New rule produced :
% [108]
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B)) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 302
% Current number of ordered equations: 2
% Current number of rules: 106
% New rule produced :
% [109]
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A))) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 302
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [110]
% f(f(unit,C),f(A,B)) mult f(f(unit,C),f(A,B)) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [111]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B))
% Current number of equations to process: 299
% Current number of ordered equations: 5
% Current number of rules: 109
% New rule produced :
% [112]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit)))
% Current number of equations to process: 299
% Current number of ordered equations: 4
% Current number of rules: 110
% New rule produced :
% [113]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(C,unit),f(A,B)) mult f(f(C,unit),f(A,B))
% Current number of equations to process: 299
% Current number of ordered equations: 3
% Current number of rules: 111
% New rule produced :
% [114]
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B)) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 299
% Current number of ordered equations: 2
% Current number of rules: 112
% New rule produced :
% [115]
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit))) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 299
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [116]
% f(f(C,unit),f(A,B)) mult f(f(C,unit),f(A,B)) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [117]
% ld(f(A,B) mult f(A,B),((A mult A) mult (B mult B)) mult (C mult C)) ->
% C mult C
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [118]
% 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: 297
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [119]
% 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: 296
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [120]
% 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: 295
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [121]
% 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: 294
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [122]
% 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: 294
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [123]
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) <->
% f(f(A mult A,B),C) mult f(f(A mult A,B),C)
% Current number of equations to process: 292
% Current number of ordered equations: 3
% Current number of rules: 121
% New rule produced :
% [124]
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) <->
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B))
% Current number of equations to process: 292
% Current number of ordered equations: 2
% Current number of rules: 122
% New rule produced :
% [125]
% f(f(A mult A,B),C) mult f(f(A mult A,B),C) <->
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 292
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [126]
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B)) <->
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [127]
% (f(A,A) mult f(A,A)) mult (f(B,C) mult f(B,C)) <->
% f(f(A,A),f(C,B)) mult f(f(A,A),f(C,B))
% Current number of equations to process: 288
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [128]
% f(f(A,A),f(C,B)) mult f(f(A,A),f(C,B)) <->
% (f(A,A) mult f(A,A)) mult (f(B,C) mult f(B,C))
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [129]
% (f(A,A) mult f(A,A)) mult (f(B,C) mult f(B,C)) <->
% f(f(C,B),f(A,A)) mult f(f(C,B),f(A,A))
% Current number of equations to process: 285
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [130]
% f(f(C,B),f(A,A)) mult f(f(C,B),f(A,A)) <->
% (f(A,A) mult f(A,A)) mult (f(B,C) mult f(B,C))
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [131]
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D)) <->
% f(f(C,D),f(A,B)) mult f(f(C,D),f(A,B))
% Current number of equations to process: 282
% Current number of ordered equations: 5
% Current number of rules: 129
% New rule produced :
% [132]
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D) <->
% f(f(f(A,B),C),D) mult f(f(f(A,B),C),D)
% Current number of equations to process: 282
% Current number of ordered equations: 4
% Current number of rules: 130
% New rule produced :
% [133]
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D) <->
% f(f(C,f(A,B)),D) mult f(f(C,f(A,B)),D)
% Current number of equations to process: 282
% Current number of ordered equations: 3
% Current number of rules: 131
% New rule produced :
% [134]
% f(f(f(A,B),C),D) mult f(f(f(A,B),C),D) <->
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 282
% Current number of ordered equations: 2
% Current number of rules: 132
% New rule produced :
% [135]
% f(f(C,f(A,B)),D) mult f(f(C,f(A,B)),D) <->
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 282
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [136]
% f(f(C,D),f(A,B)) mult f(f(C,D),f(A,B)) <->
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D))
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [137]
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) <->
% f(f(B,A mult A),C) mult f(f(B,A mult A),C)
% Current number of equations to process: 280
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [138]
% f(f(B,A mult A),C) mult f(f(B,A mult A),C) <->
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [139]
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D)) <->
% f(f(A,B),f(D,C)) mult f(f(A,B),f(D,C))
% Current number of equations to process: 277
% Current number of ordered equations: 5
% Current number of rules: 137
% New rule produced :
% [140]
% ((f(A,B) mult f(A,B)) mult (C mult C)) mult (D mult D) <->
% f(f(f(B,A),C),D) mult f(f(f(B,A),C),D)
% Current number of equations to process: 277
% Current number of ordered equations: 4
% Current number of rules: 138
% New rule produced :
% [141]
% ((f(A,B) mult f(A,B)) mult (C mult C)) mult (D mult D) <->
% f(f(C,f(B,A)),D) mult f(f(C,f(B,A)),D)
% Current number of equations to process: 277
% Current number of ordered equations: 3
% Current number of rules: 139
% New rule produced :
% [142]
% f(f(f(B,A),C),D) mult f(f(f(B,A),C),D) <->
% ((f(A,B) mult f(A,B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 277
% Current number of ordered equations: 2
% Current number of rules: 140
% New rule produced :
% [143]
% f(f(C,f(B,A)),D) mult f(f(C,f(B,A)),D) <->
% ((f(A,B) mult f(A,B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [144]
% f(f(A,B),f(D,C)) mult f(f(A,B),f(D,C)) <->
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [145]
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D)) <->
% f(f(A,B),f(C,D)) mult f(f(A,B),f(C,D))
% Current number of equations to process: 274
% Current number of ordered equations: 5
% Current number of rules: 143
% New rule produced :
% [146]
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D) <->
% f(D,f(f(A,B),C)) mult f(D,f(f(A,B),C))
% Current number of equations to process: 274
% Current number of ordered equations: 4
% Current number of rules: 144
% New rule produced :
% [147]
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D) <->
% f(D,f(C,f(A,B))) mult f(D,f(C,f(A,B)))
% Current number of equations to process: 274
% Current number of ordered equations: 3
% Current number of rules: 145
% New rule produced :
% [148]
% f(D,f(f(A,B),C)) mult f(D,f(f(A,B),C)) <->
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 274
% Current number of ordered equations: 2
% Current number of rules: 146
% New rule produced :
% [149]
% f(D,f(C,f(A,B))) mult f(D,f(C,f(A,B))) <->
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [150]
% f(f(A,B),f(C,D)) mult f(f(A,B),f(C,D)) <->
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [151]
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) <->
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A))
% Current number of equations to process: 272
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [152]
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A)) <->
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [153]
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D)) <->
% f(f(D,C),f(A,B)) mult f(f(D,C),f(A,B))
% Current number of equations to process: 269
% Current number of ordered equations: 5
% Current number of rules: 151
% New rule produced :
% [154]
% ((f(A,B) mult f(A,B)) mult (C mult C)) mult (D mult D) <->
% f(D,f(f(B,A),C)) mult f(D,f(f(B,A),C))
% Current number of equations to process: 269
% Current number of ordered equations: 4
% Current number of rules: 152
% New rule produced :
% [155]
% ((f(A,B) mult f(A,B)) mult (C mult C)) mult (D mult D) <->
% f(D,f(C,f(B,A))) mult f(D,f(C,f(B,A)))
% Current number of equations to process: 269
% Current number of ordered equations: 3
% Current number of rules: 153
% New rule produced :
% [156]
% f(D,f(f(B,A),C)) mult f(D,f(f(B,A),C)) <->
% ((f(A,B) mult f(A,B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 269
% Current number of ordered equations: 2
% Current number of rules: 154
% New rule produced :
% [157]
% f(D,f(C,f(B,A))) mult f(D,f(C,f(B,A))) <->
% ((f(A,B) mult f(A,B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [158]
% f(f(D,C),f(A,B)) mult f(f(D,C),f(A,B)) <->
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [159]
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D)) <->
% ((C mult C) mult (D mult D)) mult (f(A,B) mult f(A,B))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [160]
% ld(f(A,B) mult C,(((A mult A) mult (B mult B)) mult C) mult f(A,B)) ->
% f(A,B) mult f(A,B)
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [161]
% ld(f(A,B) mult C,((f(B,A) mult f(B,A)) mult C) mult f(A,B)) ->
% f(A,B) mult f(A,B)
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [162]
% 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: 261
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [163]
% ld(f(unit,A) mult B,((f(unit,A) mult B) mult f(unit,A)) mult B) ->
% ld(f(unit,A) mult B,(A mult A) mult B) mult B
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [164]
% ld(f(A,unit) mult B,((f(A,unit) mult B) mult f(A,unit)) mult B) ->
% ld(f(A,unit) mult B,(A mult A) mult B) mult B
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [165]
% 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: 258
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [166]
% 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
% [76]
% 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: 257
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [167]
% 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: 257
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [168]
% 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: 309
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [169]
% 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: 309
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [170]
% 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: 308
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [171]
% 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: 308
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [172] ld(f(unit,unit),unit) -> f(unit,unit)
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [173] ld(f(unit,f(A,B)),(A mult A) mult (B mult B)) -> f(unit,f(A,B))
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [174] ld(f(unit,A mult A),f(A,A) mult f(A,A)) -> f(unit,A mult A)
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [175] ld(f(unit,f(unit,A)),A mult A) -> f(unit,f(unit,A))
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [176] ld(f(unit,f(A,unit)),A mult A) -> f(unit,f(A,unit))
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [177] ld(f(unit,f(A,B)),f(B,A) mult f(B,A)) -> f(unit,f(A,B))
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [178] f(A,B) mult f(A,B) <-> f(B,f(unit,A)) mult f(B,f(unit,A))
% Current number of equations to process: 422
% Current number of ordered equations: 2
% Current number of rules: 175
% Rule [178] f(A,B) mult f(A,B) <-> f(B,f(unit,A)) mult f(B,f(unit,A)) is composed into 
% [178] f(A,B) mult f(A,B) <-> f(B,A) mult f(B,A)
% Rule [93]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(A,B),f(unit,C)) mult f(f(A,B),f(unit,C)) is composed into [93]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% Rule [65] (A mult A) mult (B mult B) <-> f(B,f(unit,A)) mult f(B,f(unit,A)) is composed into 
% [65] (A mult A) mult (B mult B) <-> f(B,A) mult f(B,A)
% Rule [30] (A mult A) mult (B mult B) <-> f(A,f(unit,B)) mult f(A,f(unit,B)) is composed into 
% [30] (A mult A) mult (B mult B) <-> f(A,B) mult f(A,B)
% New rule produced :
% [179] f(A,f(unit,B)) mult f(A,f(unit,B)) -> f(A,B) mult f(A,B)
% Rule [32] f(A,f(unit,B)) mult f(A,f(unit,B)) <-> (A mult A) mult (B mult B)
% collapsed.
% Rule [52] ld(A mult A,f(B,f(unit,A)) mult f(B,f(unit,A))) -> B mult B
% collapsed.
% Rule [64] f(A,f(unit,unit)) mult f(A,f(unit,unit)) -> A mult A collapsed.
% Rule [67] f(B,f(unit,A)) mult f(B,f(unit,A)) <-> (A mult A) mult (B mult B)
% collapsed.
% Rule
% [96]
% f(f(A,B),f(unit,C)) mult f(f(A,B),f(unit,C)) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Current number of equations to process: 422
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [180] f(A,B) mult f(A,B) <-> f(f(unit,B),A) mult f(f(unit,B),A)
% Current number of equations to process: 460
% Current number of ordered equations: 2
% Current number of rules: 172
% Rule [180] f(A,B) mult f(A,B) <-> f(f(unit,B),A) mult f(f(unit,B),A) is composed into 
% [180] f(A,B) mult f(A,B) <-> f(B,A) mult f(B,A)
% Rule [107]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(unit,C),f(A,B)) mult f(f(unit,C),f(A,B)) is composed into [107]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [89]
% (f(A,A) mult f(A,A)) mult (B mult B) <->
% f(f(unit,B),f(A,A)) mult f(f(unit,B),f(A,A)) is composed into [89]
% (f(A,A) mult 
% f(A,A)) mult 
% (B mult B)
% <->
% f(B,
% f(A,A)) mult 
% f(B,
% f(A,A))
% Rule [31] (A mult A) mult (B mult B) <-> f(f(unit,A),B) mult f(f(unit,A),B) is composed into 
% [31] (A mult A) mult (B mult B) <-> f(A,B) mult f(A,B)
% New rule produced :
% [181] f(f(unit,A),B) mult f(f(unit,A),B) -> f(A,B) mult f(A,B)
% Rule [33] f(f(unit,A),B) mult f(f(unit,A),B) <-> (A mult A) mult (B mult B)
% collapsed.
% Rule [50] ld(A mult A,f(f(unit,A),B) mult f(f(unit,A),B)) -> B mult B
% collapsed.
% Rule [62] f(f(unit,unit),A) mult f(f(unit,unit),A) -> A mult A collapsed.
% Rule
% [90]
% f(f(unit,B),f(A,A)) mult f(f(unit,B),f(A,A)) <->
% (f(A,A) mult f(A,A)) mult (B mult B) collapsed.
% Rule
% [110]
% f(f(unit,C),f(A,B)) mult f(f(unit,C),f(A,B)) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [182] ld(f(f(A,B),unit),(A mult A) mult (B mult B)) -> f(f(A,B),unit)
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [183] ld(f(A mult A,unit),f(A,A) mult f(A,A)) -> f(A mult A,unit)
% Current number of equations to process: 489
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [184] ld(f(f(unit,A),unit),A mult A) -> f(f(unit,A),unit)
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [185] ld(f(f(A,unit),unit),A mult A) -> f(f(A,unit),unit)
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [186] ld(f(f(A,B),unit),f(B,A) mult f(B,A)) -> f(f(A,B),unit)
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [187] f(A,B) mult f(A,B) <-> f(B,f(A,unit)) mult f(B,f(A,unit))
% Current number of equations to process: 494
% Current number of ordered equations: 2
% Current number of rules: 174
% Rule [187] f(A,B) mult f(A,B) <-> f(B,f(A,unit)) mult f(B,f(A,unit)) is composed into 
% [187] f(A,B) mult f(A,B) <-> f(B,A) mult f(B,A)
% Rule [99]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(A,B),f(C,unit)) mult f(f(A,B),f(C,unit)) is composed into [99]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% Rule [66] (A mult A) mult (B mult B) <-> f(B,f(A,unit)) mult f(B,f(A,unit)) is composed into 
% [66] (A mult A) mult (B mult B) <-> f(B,A) mult f(B,A)
% Rule [35] (A mult A) mult (B mult B) <-> f(A,f(B,unit)) mult f(A,f(B,unit)) is composed into 
% [35] (A mult A) mult (B mult B) <-> f(A,B) mult f(A,B)
% New rule produced :
% [188] f(A,f(B,unit)) mult f(A,f(B,unit)) -> f(A,B) mult f(A,B)
% Rule [37] f(A,f(B,unit)) mult f(A,f(B,unit)) <-> (A mult A) mult (B mult B)
% collapsed.
% Rule [53] ld(A mult A,f(B,f(A,unit)) mult f(B,f(A,unit))) -> B mult B
% collapsed.
% Rule [60] f(A,f(A,unit)) mult f(A,f(A,unit)) -> f(A,A) mult f(A,A) collapsed.
% Rule [68] f(B,f(A,unit)) mult f(B,f(A,unit)) <-> (A mult A) mult (B mult B)
% collapsed.
% Rule
% [102]
% f(f(A,B),f(C,unit)) mult f(f(A,B),f(C,unit)) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [189] f(A,B) mult f(A,B) <-> f(f(B,unit),A) mult f(f(B,unit),A)
% Current number of equations to process: 523
% Current number of ordered equations: 2
% Current number of rules: 171
% Rule [189] f(A,B) mult f(A,B) <-> f(f(B,unit),A) mult f(f(B,unit),A) is composed into 
% [189] f(A,B) mult f(A,B) <-> f(B,A) mult f(B,A)
% Rule [113]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(C,unit),f(A,B)) mult f(f(C,unit),f(A,B)) is composed into [113]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [91]
% (f(A,A) mult f(A,A)) mult (B mult B) <->
% f(f(B,unit),f(A,A)) mult f(f(B,unit),f(A,A)) is composed into [91]
% (f(A,A) mult 
% f(A,A)) mult 
% (B mult B)
% <->
% f(B,
% f(A,A)) mult 
% f(B,
% f(A,A))
% Rule [36] (A mult A) mult (B mult B) <-> f(f(A,unit),B) mult f(f(A,unit),B) is composed into 
% [36] (A mult A) mult (B mult B) <-> f(A,B) mult f(A,B)
% New rule produced :
% [190] f(f(A,unit),B) mult f(f(A,unit),B) -> f(A,B) mult f(A,B)
% Rule [38] f(f(A,unit),B) mult f(f(A,unit),B) <-> (A mult A) mult (B mult B)
% collapsed.
% Rule [51] ld(A mult A,f(f(A,unit),B) mult f(f(A,unit),B)) -> B mult B
% collapsed.
% Rule
% [92]
% f(f(B,unit),f(A,A)) mult f(f(B,unit),f(A,A)) <->
% (f(A,A) mult f(A,A)) mult (B mult B) collapsed.
% Rule
% [116]
% f(f(C,unit),f(A,B)) mult f(f(C,unit),f(A,B)) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [191]
% ((A mult A) mult (B mult B)) mult (C mult C) <-> f(f(B,A),C) mult f(f(B,A),C)
% Current number of equations to process: 575
% Current number of ordered equations: 3
% Current number of rules: 169
% New rule produced :
% [192]
% ((A mult A) mult (B mult B)) mult (C mult C) <-> f(C,f(B,A)) mult f(C,f(B,A))
% Current number of equations to process: 575
% Current number of ordered equations: 2
% Current number of rules: 170
% New rule produced :
% [193]
% f(f(B,A),C) mult f(f(B,A),C) <-> ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 575
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [194]
% f(C,f(B,A)) mult f(C,f(B,A)) <-> ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [195] ld(f(f(A,B),C),f(f(B,A),C) mult f(f(B,A),C)) -> f(f(A,B),C)
% Current number of equations to process: 621
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [196] ld(f(A,f(B,C)),f(f(C,B),A) mult f(f(C,B),A)) -> f(A,f(B,C))
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [197] ld(f(f(A,B),C),f(C,f(B,A)) mult f(C,f(B,A))) -> f(f(A,B),C)
% Current number of equations to process: 668
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [198] ld(f(A,f(B,C)),f(A,f(C,B)) mult f(A,f(C,B))) -> f(A,f(B,C))
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [199] ld(f(A,f(unit,unit)),A mult A) -> f(A,f(unit,unit))
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [200] ld(f(A,f(unit,B)),f(A,B) mult f(A,B)) -> f(A,f(unit,B))
% Current number of equations to process: 743
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [201] ld(f(A,f(unit,B)),f(B,A) mult f(B,A)) -> f(A,f(unit,B))
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [202]
% ld(f(f(unit,A),f(unit,B)),(A mult A) mult (B mult B)) ->
% f(f(unit,A),f(unit,B))
% Current number of equations to process: 753
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [203]
% ld(f(A,f(unit,f(unit,B))),(A mult A) mult (B mult B)) ->
% f(A,f(unit,f(unit,B)))
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [204]
% ld(f(f(A,unit),f(unit,B)),(A mult A) mult (B mult B)) ->
% f(f(A,unit),f(unit,B))
% Current number of equations to process: 751
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [205]
% ld(f(A,f(unit,f(B,unit))),(A mult A) mult (B mult B)) ->
% f(A,f(unit,f(B,unit)))
% Current number of equations to process: 751
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [206] ld(f(f(unit,unit),A),A mult A) -> f(f(unit,unit),A)
% Current number of equations to process: 764
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [207] ld(f(f(unit,A),B),f(A,B) mult f(A,B)) -> f(f(unit,A),B)
% Current number of equations to process: 768
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [208] ld(f(f(unit,A),B),f(B,A) mult f(B,A)) -> f(f(unit,A),B)
% Current number of equations to process: 768
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [209]
% ld(f(f(unit,f(unit,A)),B),(A mult A) mult (B mult B)) ->
% f(f(unit,f(unit,A)),B)
% Current number of equations to process: 778
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [210]
% ld(f(f(unit,A),f(B,unit)),(A mult A) mult (B mult B)) ->
% f(f(unit,A),f(B,unit))
% Current number of equations to process: 776
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [211]
% ld(f(f(unit,f(A,unit)),B),(A mult A) mult (B mult B)) ->
% f(f(unit,f(A,unit)),B)
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [212] ld(f(A,f(B,unit)),f(A,B) mult f(A,B)) -> f(A,f(B,unit))
% Current number of equations to process: 793
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [213] ld(f(A,f(B,unit)),f(B,A) mult f(B,A)) -> f(A,f(B,unit))
% Current number of equations to process: 793
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [214]
% ld(f(A,f(f(unit,B),unit)),(A mult A) mult (B mult B)) ->
% f(A,f(f(unit,B),unit))
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [215]
% ld(f(A,f(f(B,unit),unit)),(A mult A) mult (B mult B)) ->
% f(A,f(f(B,unit),unit))
% Current number of equations to process: 801
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [216]
% ld(f(f(A,unit),f(B,unit)),(A mult A) mult (B mult B)) ->
% f(f(A,unit),f(B,unit))
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [217] ld(f(f(A,unit),B),f(A,B) mult f(A,B)) -> f(f(A,unit),B)
% Current number of equations to process: 818
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [218] ld(f(f(A,unit),B),f(B,A) mult f(B,A)) -> f(f(A,unit),B)
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [219]
% ld(f(f(f(unit,A),unit),B),(A mult A) mult (B mult B)) ->
% f(f(f(unit,A),unit),B)
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [220]
% ld(f(f(f(A,unit),unit),B),(A mult A) mult (B mult B)) ->
% f(f(f(A,unit),unit),B)
% Current number of equations to process: 826
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [221] ld(f(A,B) mult f(A,B),(f(B,A) mult f(B,A)) mult (C mult C)) -> C mult C
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [222] ld(f(A,B mult B),f(f(B,B),A) mult f(f(B,B),A)) -> f(A,B mult B)
% Current number of equations to process: 919
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [223] ld(f(A,B mult B),f(A,f(B,B)) mult f(A,f(B,B))) -> f(A,B mult B)
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [224] ld(f(A mult A,B),f(f(A,A),B) mult f(f(A,A),B)) -> f(A mult A,B)
% Current number of equations to process: 945
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [225] ld(f(A mult A,B),f(B,f(A,A)) mult f(B,f(A,A))) -> f(A mult A,B)
% Current number of equations to process: 945
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [226] ((A mult A) mult B) mult A -> (A mult A) mult (A mult B)
% Rule [73] ld(A mult B,((A mult A) mult B) mult A) -> A mult A collapsed.
% Current number of equations to process: 1483
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [227] ld(ld(A mult A,B) mult A,A mult B) -> A mult A
% Current number of equations to process: 1481
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [228]
% 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: 1485
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [229]
% ((ld(A,unit) mult B) mult A) mult A -> ((A mult B) mult ld(A,unit)) mult A
% Current number of equations to process: 1493
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [230]
% ld(A mult B,(ld(A,C) mult B) mult A) -> ld(A,ld(A mult B,(B mult C) mult A))
% Rule
% [79]
% 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: 1546
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [231] (f(A,B) mult f(A,B)) mult B <-> ((A mult A) mult B) mult (B mult B)
% Current number of equations to process: 1626
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [232] ((A mult A) mult B) mult (B mult B) <-> (f(A,B) mult f(A,B)) mult B
% Current number of equations to process: 1626
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [233] ld(A mult A,(f(B,A) mult f(B,A)) mult A) -> (B mult B) mult A
% Current number of equations to process: 1628
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [234] (f(B,A) mult f(B,A)) mult B <-> ((A mult A) mult B) mult (B mult B)
% Current number of equations to process: 1657
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [235] ((A mult A) mult B) mult (B mult B) <-> (f(B,A) mult f(B,A)) mult B
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [236] ld(A mult A,(f(A,B) mult f(A,B)) mult A) -> (B mult B) mult A
% Current number of equations to process: 1659
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [237]
% ((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: 1703
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [238]
% (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: 1702
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [239]
% ((A mult A) mult B) mult f(unit,A) -> (f(unit,A) mult B) mult (A mult A)
% Rule [81] ld(f(unit,A) mult B,((A mult A) mult B) mult f(unit,A)) -> A mult A
% collapsed.
% Current number of equations to process: 1884
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [240]
% ((A mult A) mult B) mult f(A,unit) -> (f(A,unit) mult B) mult (A mult A)
% Rule [82] ld(f(A,unit) mult B,((A mult A) mult B) mult f(A,unit)) -> A mult A
% collapsed.
% Current number of equations to process: 1894
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [241] ld(f(unit,A) mult ld(A mult A,B),f(unit,A) mult B) -> A mult A
% Current number of equations to process: 1892
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [242] ld(f(A,unit) mult ld(A mult A,B),f(A,unit) mult B) -> A mult A
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [243]
% ld((A mult A) mult f(unit,B),(f(A,B) mult f(A,B)) mult f(unit,B)) -> B mult B
% Current number of equations to process: 1895
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [244]
% ld((A mult A) mult f(unit,B),(f(B,A) mult f(B,A)) mult f(unit,B)) -> B mult B
% Current number of equations to process: 1895
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [245]
% ld((A mult A) mult f(B,unit),(f(A,B) mult f(A,B)) mult f(B,unit)) -> B mult B
% Current number of equations to process: 1893
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [246]
% ld((A mult A) mult f(B,unit),(f(B,A) mult f(B,A)) mult f(B,unit)) -> B mult B
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [247]
% 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: 1892
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [248]
% (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: 1891
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [249]
% ((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: 1890
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [250] ld(A mult B,(((A mult A) mult A) mult B) mult A) -> (A mult A) mult A
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [251]
% 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: 1965
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [252]
% ld((A mult A) mult (B mult B),(f(A,B) mult f(A,B)) mult (C mult C)) ->
% C mult C
% Current number of equations to process: 2101
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [253] ld((A mult A) mult (B mult B),f(A,B) mult f(A,B)) -> unit
% Current number of equations to process: 2109
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [254] ld(f(A,B) mult f(A,B),f(B,A) mult f(B,A)) -> unit
% Current number of equations to process: 2140
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [255]
% (A mult A) mult (B mult B) <->
% f(f(f(unit,unit),A),B) mult f(f(f(unit,unit),A),B)
% Current number of equations to process: 2453
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [256]
% f(f(f(unit,unit),A),B) mult f(f(f(unit,unit),A),B) <->
% (A mult A) mult (B mult B)
% Current number of equations to process: 2453
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [257]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(f(unit,A),B),C) mult f(f(f(unit,A),B),C)
% Current number of equations to process: 2451
% Current number of ordered equations: 3
% Current number of rules: 231
% New rule produced :
% [258]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(f(unit,B),A),C) mult f(f(f(unit,B),A),C)
% Current number of equations to process: 2451
% Current number of ordered equations: 2
% Current number of rules: 232
% New rule produced :
% [259]
% f(f(f(unit,A),B),C) mult f(f(f(unit,A),B),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 2451
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [260]
% f(f(f(unit,B),A),C) mult f(f(f(unit,B),A),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 2451
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [261]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(f(f(unit,B),A),C) mult f(f(f(unit,B),A),C)
% Current number of equations to process: 2497
% Current number of ordered equations: 2
% Current number of rules: 235
% Rule [261]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(f(f(unit,B),A),C) mult f(f(f(unit,B),A),C) is composed into [261]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(
% f(B,A),C) mult 
% f(
% f(B,A),C)
% Rule [258]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(f(unit,B),A),C) mult f(f(f(unit,B),A),C) is composed into [258]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(
% f(B,A),C) mult 
% f(
% f(B,A),C)
% Rule [257]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(f(unit,A),B),C) mult f(f(f(unit,A),B),C) is composed into [257]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% Rule [255]
% (A mult A) mult (B mult B) <->
% f(f(f(unit,unit),A),B) mult f(f(f(unit,unit),A),B) is composed into 
% [255] (A mult A) mult (B mult B) <-> f(f(unit,A),B) mult f(f(unit,A),B)
% Rule [94]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(f(unit,A),B),C) mult f(f(f(unit,A),B),C) is composed into [94]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% New rule produced :
% [262]
% f(f(f(unit,A),B),C) mult f(f(f(unit,A),B),C) -> f(f(A,B),C) mult f(f(A,B),C)
% Rule
% [97]
% f(f(f(unit,A),B),C) mult f(f(f(unit,A),B),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [256]
% f(f(f(unit,unit),A),B) mult f(f(f(unit,unit),A),B) <->
% (A mult A) mult (B mult B) collapsed.
% Rule
% [259]
% f(f(f(unit,A),B),C) mult f(f(f(unit,A),B),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [260]
% f(f(f(unit,B),A),C) mult f(f(f(unit,B),A),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Current number of equations to process: 2497
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [263]
% (A mult A) mult (B mult B) <->
% f(f(A,f(unit,unit)),B) mult f(f(A,f(unit,unit)),B)
% Current number of equations to process: 2577
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [264]
% f(f(A,f(unit,unit)),B) mult f(f(A,f(unit,unit)),B) <->
% (A mult A) mult (B mult B)
% Current number of equations to process: 2577
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [265]
% f(f(A,f(unit,B)),C) mult f(f(A,f(unit,B)),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 2575
% Current number of ordered equations: 3
% Current number of rules: 235
% New rule produced :
% [266]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(A,f(unit,B)),C) mult f(f(A,f(unit,B)),C)
% Current number of equations to process: 2575
% Current number of ordered equations: 2
% Current number of rules: 236
% New rule produced :
% [267]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(B,f(unit,A)),C) mult f(f(B,f(unit,A)),C)
% Current number of equations to process: 2575
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [268]
% f(f(B,f(unit,A)),C) mult f(f(B,f(unit,A)),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 2575
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [269]
% f(f(A,f(unit,B)),C) mult f(f(A,f(unit,B)),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 2622
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [270]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(A,f(unit,B)),C) mult f(f(A,f(unit,B)),C)
% Current number of equations to process: 2622
% Current number of ordered equations: 0
% Current number of rules: 240
% Rule [270]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(A,f(unit,B)),C) mult f(f(A,f(unit,B)),C) is composed into [270]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% Rule [267]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(B,f(unit,A)),C) mult f(f(B,f(unit,A)),C) is composed into [267]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(
% f(B,A),C) mult 
% f(
% f(B,A),C)
% Rule [266]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(A,f(unit,B)),C) mult f(f(A,f(unit,B)),C) is composed into [266]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% Rule [263]
% (A mult A) mult (B mult B) <->
% f(f(A,f(unit,unit)),B) mult f(f(A,f(unit,unit)),B) is composed into 
% [263] (A mult A) mult (B mult B) <-> f(f(A,unit),B) mult f(f(A,unit),B)
% Rule [95]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(B,f(unit,A)),C) mult f(f(B,f(unit,A)),C) is composed into [95]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(
% f(B,A),C) mult 
% f(
% f(B,A),C)
% New rule produced :
% [271]
% f(f(A,f(unit,B)),C) mult f(f(A,f(unit,B)),C) -> f(f(A,B),C) mult f(f(A,B),C)
% Rule
% [98]
% f(f(B,f(unit,A)),C) mult f(f(B,f(unit,A)),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [264]
% f(f(A,f(unit,unit)),B) mult f(f(A,f(unit,unit)),B) <->
% (A mult A) mult (B mult B) collapsed.
% Rule
% [265]
% f(f(A,f(unit,B)),C) mult f(f(A,f(unit,B)),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [268]
% f(f(B,f(unit,A)),C) mult f(f(B,f(unit,A)),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [269]
% f(f(A,f(unit,B)),C) mult f(f(A,f(unit,B)),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Current number of equations to process: 2620
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [272]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(f(A,unit),B),C) mult f(f(f(A,unit),B),C)
% Current number of equations to process: 2802
% Current number of ordered equations: 3
% Current number of rules: 237
% New rule produced :
% [273]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C)
% Current number of equations to process: 2802
% Current number of ordered equations: 2
% Current number of rules: 238
% New rule produced :
% [274]
% f(f(f(A,unit),B),C) mult f(f(f(A,unit),B),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 2802
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [275]
% f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 2802
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [276]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C)
% Current number of equations to process: 2849
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [277]
% f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [278]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C)
% Current number of equations to process: 2847
% Current number of ordered equations: 2
% Current number of rules: 243
% Rule [278]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C) is composed into [278]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(
% f(B,A),C) mult 
% f(
% f(B,A),C)
% Rule [276]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C) is composed into [276]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(
% f(B,A),C) mult 
% f(
% f(B,A),C)
% Rule [273]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C) is composed into [273]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(
% f(B,A),C) mult 
% f(
% f(B,A),C)
% Rule [272]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(f(A,unit),B),C) mult f(f(f(A,unit),B),C) is composed into [272]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% Rule [100]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(f(A,unit),B),C) mult f(f(f(A,unit),B),C) is composed into [100]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% New rule produced :
% [279]
% f(f(f(A,unit),B),C) mult f(f(f(A,unit),B),C) -> f(f(A,B),C) mult f(f(A,B),C)
% Rule
% [103]
% f(f(f(A,unit),B),C) mult f(f(f(A,unit),B),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [274]
% f(f(f(A,unit),B),C) mult f(f(f(A,unit),B),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [275]
% f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [277]
% f(f(f(B,unit),A),C) mult f(f(f(B,unit),A),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [280]
% f(f(A,f(B,unit)),C) mult f(f(A,f(B,unit)),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 2923
% Current number of ordered equations: 3
% Current number of rules: 241
% New rule produced :
% [281]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(A,f(B,unit)),C) mult f(f(A,f(B,unit)),C)
% Current number of equations to process: 2923
% Current number of ordered equations: 2
% Current number of rules: 242
% New rule produced :
% [282]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(B,f(A,unit)),C) mult f(f(B,f(A,unit)),C)
% Current number of equations to process: 2923
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [283]
% f(f(B,f(A,unit)),C) mult f(f(B,f(A,unit)),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [284]
% f(f(A,f(B,unit)),C) mult f(f(A,f(B,unit)),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 2969
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [285]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(A,f(B,unit)),C) mult f(f(A,f(B,unit)),C)
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 246
% Rule [285]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(A,f(B,unit)),C) mult f(f(A,f(B,unit)),C) is composed into [285]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% Rule [282]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(B,f(A,unit)),C) mult f(f(B,f(A,unit)),C) is composed into [282]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(
% f(B,A),C) mult 
% f(
% f(B,A),C)
% Rule [281]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(f(A,f(B,unit)),C) mult f(f(A,f(B,unit)),C) is composed into [281]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% Rule [101]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(f(B,f(A,unit)),C) mult f(f(B,f(A,unit)),C) is composed into [101]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(
% f(B,A),C) mult 
% f(
% f(B,A),C)
% New rule produced :
% [286]
% f(f(A,f(B,unit)),C) mult f(f(A,f(B,unit)),C) -> f(f(A,B),C) mult f(f(A,B),C)
% Rule
% [104]
% f(f(B,f(A,unit)),C) mult f(f(B,f(A,unit)),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [280]
% f(f(A,f(B,unit)),C) mult f(f(A,f(B,unit)),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [283]
% f(f(B,f(A,unit)),C) mult f(f(B,f(A,unit)),C) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [284]
% f(f(A,f(B,unit)),C) mult f(f(A,f(B,unit)),C) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [287]
% (A mult A) mult (B mult B) <->
% f(B,f(f(unit,unit),A)) mult f(B,f(f(unit,unit),A))
% Current number of equations to process: 3050
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [288]
% f(B,f(f(unit,unit),A)) mult f(B,f(f(unit,unit),A)) <->
% (A mult A) mult (B mult B)
% Current number of equations to process: 3050
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [289]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B))
% Current number of equations to process: 3048
% Current number of ordered equations: 3
% Current number of rules: 246
% New rule produced :
% [290]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(f(unit,B),A)) mult f(C,f(f(unit,B),A))
% Current number of equations to process: 3048
% Current number of ordered equations: 2
% Current number of rules: 247
% New rule produced :
% [291]
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B)) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 3048
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [292]
% f(C,f(f(unit,B),A)) mult f(C,f(f(unit,B),A)) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 3048
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [293]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B))
% Current number of equations to process: 3094
% Current number of ordered equations: 3
% Current number of rules: 250
% New rule produced :
% [294]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(C,f(f(unit,B),A)) mult f(C,f(f(unit,B),A))
% Current number of equations to process: 3094
% Current number of ordered equations: 2
% Current number of rules: 251
% New rule produced :
% [295]
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B)) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 3094
% Current number of ordered equations: 1
% Current number of rules: 252
% New rule produced :
% [296]
% f(C,f(f(unit,B),A)) mult f(C,f(f(unit,B),A)) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [297]
% f(A,f(B,C)) mult f(A,f(B,C)) <-> f(A,f(f(unit,C),B)) mult f(A,f(f(unit,C),B))
% Current number of equations to process: 3092
% Current number of ordered equations: 2
% Current number of rules: 254
% New rule produced :
% [298]
% f(A,f(f(unit,C),B)) mult f(A,f(f(unit,C),B)) <-> f(A,f(B,C)) mult f(A,f(B,C))
% Current number of equations to process: 3092
% Current number of ordered equations: 1
% Current number of rules: 255
% Rule [297]
% f(A,f(B,C)) mult f(A,f(B,C)) <->
% f(A,f(f(unit,C),B)) mult f(A,f(f(unit,C),B)) is composed into [297]
% f(A,
% f(B,C)) mult 
% f(A,
% f(B,C))
% <->
% f(A,
% f(C,B)) mult 
% f(A,
% f(C,B))
% Rule [294]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(C,f(f(unit,B),A)) mult f(C,f(f(unit,B),A)) is composed into [294]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% Rule [293]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B)) is composed into [293]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [290]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(f(unit,B),A)) mult f(C,f(f(unit,B),A)) is composed into [290]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% Rule [289]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B)) is composed into [289]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [287]
% (A mult A) mult (B mult B) <->
% f(B,f(f(unit,unit),A)) mult f(B,f(f(unit,unit),A)) is composed into 
% [287] (A mult A) mult (B mult B) <-> f(B,f(unit,A)) mult f(B,f(unit,A))
% Rule [105]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B)) is composed into [105]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% New rule produced :
% [299]
% f(A,f(f(unit,B),C)) mult f(A,f(f(unit,B),C)) -> f(A,f(B,C)) mult f(A,f(B,C))
% Rule
% [108]
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B)) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [288]
% f(B,f(f(unit,unit),A)) mult f(B,f(f(unit,unit),A)) <->
% (A mult A) mult (B mult B) collapsed.
% Rule
% [291]
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B)) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [292]
% f(C,f(f(unit,B),A)) mult f(C,f(f(unit,B),A)) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [295]
% f(C,f(f(unit,A),B)) mult f(C,f(f(unit,A),B)) <-> f(f(A,B),C) mult f(f(A,B),C)
% collapsed.
% Rule
% [296]
% f(C,f(f(unit,B),A)) mult f(C,f(f(unit,B),A)) <-> f(f(A,B),C) mult f(f(A,B),C)
% collapsed.
% Rule
% [298]
% f(A,f(f(unit,C),B)) mult f(A,f(f(unit,C),B)) <-> f(A,f(B,C)) mult f(A,f(B,C))
% collapsed.
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [300]
% (A mult A) mult (B mult B) <->
% f(B,f(A,f(unit,unit))) mult f(B,f(A,f(unit,unit)))
% Current number of equations to process: 3178
% Current number of ordered equations: 1
% Current number of rules: 250
% New rule produced :
% [301]
% f(B,f(A,f(unit,unit))) mult f(B,f(A,f(unit,unit))) <->
% (A mult A) mult (B mult B)
% Current number of equations to process: 3178
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [302]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A)))
% Current number of equations to process: 3176
% Current number of ordered equations: 3
% Current number of rules: 252
% New rule produced :
% [303]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B)))
% Current number of equations to process: 3176
% Current number of ordered equations: 2
% Current number of rules: 253
% New rule produced :
% [304]
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A))) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 3176
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [305]
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B))) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [306]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B)))
% Current number of equations to process: 3223
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [307]
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B))) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [308]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A)))
% Current number of equations to process: 3221
% Current number of ordered equations: 3
% Current number of rules: 258
% New rule produced :
% [309]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B)))
% Current number of equations to process: 3221
% Current number of ordered equations: 2
% Current number of rules: 259
% New rule produced :
% [310]
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A))) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 3221
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [311]
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B))) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 261
% Rule [309]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B))) is composed into [309]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [308]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A))) is composed into [308]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% Rule [306]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B))) is composed into [306]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [303]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B))) is composed into [303]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [302]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A))) is composed into [302]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% Rule [300]
% (A mult A) mult (B mult B) <->
% f(B,f(A,f(unit,unit))) mult f(B,f(A,f(unit,unit))) is composed into 
% [300] (A mult A) mult (B mult B) <-> f(B,f(A,unit)) mult f(B,f(A,unit))
% Rule [106]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A))) is composed into [106]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% New rule produced :
% [312]
% f(A,f(B,f(unit,C))) mult f(A,f(B,f(unit,C))) -> f(A,f(B,C)) mult f(A,f(B,C))
% Rule
% [109]
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A))) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [301]
% f(B,f(A,f(unit,unit))) mult f(B,f(A,f(unit,unit))) <->
% (A mult A) mult (B mult B) collapsed.
% Rule
% [304]
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A))) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [305]
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B))) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [307]
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B))) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [310]
% f(C,f(B,f(unit,A))) mult f(C,f(B,f(unit,A))) <-> f(f(A,B),C) mult f(f(A,B),C)
% collapsed.
% Rule
% [311]
% f(C,f(A,f(unit,B))) mult f(C,f(A,f(unit,B))) <-> f(f(A,B),C) mult f(f(A,B),C)
% collapsed.
% Current number of equations to process: 3219
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [313]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B))
% Current number of equations to process: 3411
% Current number of ordered equations: 3
% Current number of rules: 256
% New rule produced :
% [314]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A))
% Current number of equations to process: 3411
% Current number of ordered equations: 2
% Current number of rules: 257
% New rule produced :
% [315]
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B)) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 3411
% Current number of ordered equations: 1
% Current number of rules: 258
% New rule produced :
% [316]
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A)) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 3411
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [317]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A))
% Current number of equations to process: 3458
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [318]
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A)) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 3458
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [319]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B))
% Current number of equations to process: 3456
% Current number of ordered equations: 3
% Current number of rules: 262
% New rule produced :
% [320]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A))
% Current number of equations to process: 3456
% Current number of ordered equations: 2
% Current number of rules: 263
% New rule produced :
% [321]
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B)) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 3456
% Current number of ordered equations: 1
% Current number of rules: 264
% New rule produced :
% [322]
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A)) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 3456
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [323]
% f(A,f(B,C)) mult f(A,f(B,C)) <-> f(A,f(f(C,unit),B)) mult f(A,f(f(C,unit),B))
% Current number of equations to process: 3454
% Current number of ordered equations: 2
% Current number of rules: 266
% New rule produced :
% [324]
% f(A,f(f(C,unit),B)) mult f(A,f(f(C,unit),B)) <-> f(A,f(B,C)) mult f(A,f(B,C))
% Current number of equations to process: 3454
% Current number of ordered equations: 1
% Current number of rules: 267
% Rule [323]
% f(A,f(B,C)) mult f(A,f(B,C)) <->
% f(A,f(f(C,unit),B)) mult f(A,f(f(C,unit),B)) is composed into [323]
% f(A,
% f(B,C)) mult 
% f(A,
% f(B,C))
% <->
% f(A,
% f(C,B)) mult 
% f(A,
% f(C,B))
% Rule [320]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A)) is composed into [320]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% Rule [319]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B)) is composed into [319]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [317]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A)) is composed into [317]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% Rule [314]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A)) is composed into [314]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% Rule [313]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B)) is composed into [313]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [111]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B)) is composed into [111]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% New rule produced :
% [325]
% f(A,f(f(B,unit),C)) mult f(A,f(f(B,unit),C)) -> f(A,f(B,C)) mult f(A,f(B,C))
% Rule
% [114]
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B)) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [315]
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B)) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [316]
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A)) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [318]
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A)) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [321]
% f(C,f(f(A,unit),B)) mult f(C,f(f(A,unit),B)) <-> f(f(A,B),C) mult f(f(A,B),C)
% collapsed.
% Rule
% [322]
% f(C,f(f(B,unit),A)) mult f(C,f(f(B,unit),A)) <-> f(f(A,B),C) mult f(f(A,B),C)
% collapsed.
% Rule
% [324]
% f(A,f(f(C,unit),B)) mult f(A,f(f(C,unit),B)) <-> f(A,f(B,C)) mult f(A,f(B,C))
% collapsed.
% Current number of equations to process: 3454
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [326]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit)))
% Current number of equations to process: 3531
% Current number of ordered equations: 3
% Current number of rules: 262
% New rule produced :
% [327]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit)))
% Current number of equations to process: 3531
% Current number of ordered equations: 2
% Current number of rules: 263
% New rule produced :
% [328]
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit))) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 3531
% Current number of ordered equations: 1
% Current number of rules: 264
% New rule produced :
% [329]
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit))) <->
% (f(A,B) mult f(A,B)) mult (C mult C)
% Current number of equations to process: 3531
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [330]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit)))
% Current number of equations to process: 3577
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [331]
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit))) <->
% ((A mult A) mult (B mult B)) mult (C mult C)
% Current number of equations to process: 3577
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [332]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit)))
% Current number of equations to process: 3575
% Current number of ordered equations: 3
% Current number of rules: 268
% New rule produced :
% [333]
% f(f(A,B),C) mult f(f(A,B),C) <-> f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit)))
% Current number of equations to process: 3575
% Current number of ordered equations: 2
% Current number of rules: 269
% New rule produced :
% [334]
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit))) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 3575
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [335]
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit))) <-> f(f(A,B),C) mult f(f(A,B),C)
% Current number of equations to process: 3575
% Current number of ordered equations: 0
% Current number of rules: 271
% Rule [333]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit))) is composed into [333]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [332]
% f(f(A,B),C) mult f(f(A,B),C) <->
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit))) is composed into [332]
% f(
% f(A,B),C) mult 
% f(
% f(A,B),C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% Rule [330]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit))) is composed into [330]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [327]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit))) is composed into [327]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(C,
% f(A,B)) mult 
% f(C,
% f(A,B))
% Rule [326]
% (f(A,B) mult f(A,B)) mult (C mult C) <->
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit))) is composed into [326]
% (f(A,B) mult 
% f(A,B)) mult 
% (C mult C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% Rule [112]
% ((A mult A) mult (B mult B)) mult (C mult C) <->
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit))) is composed into [112]
% ((A mult A) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(B,A)) mult 
% f(C,
% f(B,A))
% New rule produced :
% [336]
% f(A,f(B,f(C,unit))) mult f(A,f(B,f(C,unit))) -> f(A,f(B,C)) mult f(A,f(B,C))
% Rule
% [115]
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit))) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [328]
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit))) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [329]
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit))) <->
% (f(A,B) mult f(A,B)) mult (C mult C) collapsed.
% Rule
% [331]
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit))) <->
% ((A mult A) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [334]
% f(C,f(B,f(A,unit))) mult f(C,f(B,f(A,unit))) <-> f(f(A,B),C) mult f(f(A,B),C)
% collapsed.
% Rule
% [335]
% f(C,f(A,f(B,unit))) mult f(C,f(A,f(B,unit))) <-> f(f(A,B),C) mult f(f(A,B),C)
% collapsed.
% Current number of equations to process: 3573
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [337] ld(f(A,B) mult f(A,B),(A mult A) mult (B mult B)) -> unit
% Current number of equations to process: 3755
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [338]
% ld(f(unit,f(f(A,B),C)),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(unit,f(f(A,B),C))
% Current number of equations to process: 4137
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [339]
% ld(f(unit,f(A,f(B,C))),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(unit,f(A,f(B,C)))
% Current number of equations to process: 4136
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [340]
% ld(f(f(f(A,B),C),unit),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(f(f(A,B),C),unit)
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [341]
% ld(f(f(A,f(B,C)),unit),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(f(A,f(B,C)),unit)
% Current number of equations to process: 4134
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [342]
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D)) <->
% f(f(A,B),f(D,C)) mult f(f(A,B),f(D,C))
% Current number of equations to process: 4131
% Current number of ordered equations: 5
% Current number of rules: 272
% New rule produced :
% [343]
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D) <->
% f(f(f(B,A),C),D) mult f(f(f(B,A),C),D)
% Current number of equations to process: 4131
% Current number of ordered equations: 4
% Current number of rules: 273
% New rule produced :
% [344]
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D) <->
% f(f(C,f(B,A)),D) mult f(f(C,f(B,A)),D)
% Current number of equations to process: 4131
% Current number of ordered equations: 3
% Current number of rules: 274
% New rule produced :
% [345]
% f(f(f(B,A),C),D) mult f(f(f(B,A),C),D) <->
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 4131
% Current number of ordered equations: 2
% Current number of rules: 275
% New rule produced :
% [346]
% f(f(C,f(B,A)),D) mult f(f(C,f(B,A)),D) <->
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 4131
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [347]
% f(f(A,B),f(D,C)) mult f(f(A,B),f(D,C)) <->
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D))
% Current number of equations to process: 4131
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [348]
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D)) <->
% f(f(D,C),f(A,B)) mult f(f(D,C),f(A,B))
% Current number of equations to process: 4128
% Current number of ordered equations: 5
% Current number of rules: 278
% New rule produced :
% [349]
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D) <->
% f(D,f(f(B,A),C)) mult f(D,f(f(B,A),C))
% Current number of equations to process: 4128
% Current number of ordered equations: 4
% Current number of rules: 279
% New rule produced :
% [350]
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D) <->
% f(D,f(C,f(B,A))) mult f(D,f(C,f(B,A)))
% Current number of equations to process: 4128
% Current number of ordered equations: 3
% Current number of rules: 280
% New rule produced :
% [351]
% f(D,f(f(B,A),C)) mult f(D,f(f(B,A),C)) <->
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 4128
% Current number of ordered equations: 2
% Current number of rules: 281
% New rule produced :
% [352]
% f(D,f(C,f(B,A))) mult f(D,f(C,f(B,A))) <->
% (((A mult A) mult (B mult B)) mult (C mult C)) mult (D mult D)
% Current number of equations to process: 4128
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [353]
% f(f(D,C),f(A,B)) mult f(f(D,C),f(A,B)) <->
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D))
% Current number of equations to process: 4128
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [354]
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D)) <->
% f(f(B,A),f(D,C)) mult f(f(B,A),f(D,C))
% Rule
% [127]
% (f(A,A) mult f(A,A)) mult (f(B,C) mult f(B,C)) <->
% f(f(A,A),f(C,B)) mult f(f(A,A),f(C,B)) collapsed.
% Current number of equations to process: 4127
% Current number of ordered equations: 1
% Current number of rules: 283
% New rule produced :
% [355]
% f(f(B,A),f(D,C)) mult f(f(B,A),f(D,C)) <->
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D))
% Rule
% [128]
% f(f(A,A),f(C,B)) mult f(f(A,A),f(C,B)) <->
% (f(A,A) mult f(A,A)) mult (f(B,C) mult f(B,C)) collapsed.
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [356]
% (f(f(A,B),C) mult f(f(A,B),C)) mult (D mult D) <->
% f(f(f(B,A),C),D) mult f(f(f(B,A),C),D)
% Current number of equations to process: 4125
% Current number of ordered equations: 3
% Current number of rules: 284
% New rule produced :
% [357]
% (f(f(A,B),C) mult f(f(A,B),C)) mult (D mult D) <->
% f(f(C,f(B,A)),D) mult f(f(C,f(B,A)),D)
% Current number of equations to process: 4125
% Current number of ordered equations: 2
% Current number of rules: 285
% New rule produced :
% [358]
% f(f(f(B,A),C),D) mult f(f(f(B,A),C),D) <->
% (f(f(A,B),C) mult f(f(A,B),C)) mult (D mult D)
% Current number of equations to process: 4125
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [359]
% f(f(C,f(B,A)),D) mult f(f(C,f(B,A)),D) <->
% (f(f(A,B),C) mult f(f(A,B),C)) mult (D mult D)
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [360]
% (f(f(A,B),C) mult f(f(A,B),C)) mult (D mult D) <->
% f(D,f(f(B,A),C)) mult f(D,f(f(B,A),C))
% Current number of equations to process: 4123
% Current number of ordered equations: 3
% Current number of rules: 288
% New rule produced :
% [361]
% (f(f(A,B),C) mult f(f(A,B),C)) mult (D mult D) <->
% f(D,f(C,f(B,A))) mult f(D,f(C,f(B,A)))
% Current number of equations to process: 4123
% Current number of ordered equations: 2
% Current number of rules: 289
% New rule produced :
% [362]
% f(D,f(f(B,A),C)) mult f(D,f(f(B,A),C)) <->
% (f(f(A,B),C) mult f(f(A,B),C)) mult (D mult D)
% Current number of equations to process: 4123
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [363]
% f(D,f(C,f(B,A))) mult f(D,f(C,f(B,A))) <->
% (f(f(A,B),C) mult f(f(A,B),C)) mult (D mult D)
% Current number of equations to process: 4123
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [364]
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D)) <->
% f(f(D,C),f(B,A)) mult f(f(D,C),f(B,A))
% Current number of equations to process: 4122
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [365]
% f(f(D,C),f(B,A)) mult f(f(D,C),f(B,A)) <->
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 4122
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [366]
% f(f(A,B),f(C,D)) mult f(f(A,B),f(C,D)) <->
% f(f(D,C),f(B,A)) mult f(f(D,C),f(B,A))
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [367]
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D)) <->
% f(f(D,C),f(B,A)) mult f(f(D,C),f(B,A))
% Rule
% [129]
% (f(A,A) mult f(A,A)) mult (f(B,C) mult f(B,C)) <->
% f(f(C,B),f(A,A)) mult f(f(C,B),f(A,A)) collapsed.
% Current number of equations to process: 4120
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [368]
% f(f(D,C),f(B,A)) mult f(f(D,C),f(B,A)) <->
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D))
% Rule
% [130]
% f(f(C,B),f(A,A)) mult f(f(C,B),f(A,A)) <->
% (f(A,A) mult f(A,A)) mult (f(B,C) mult f(B,C)) collapsed.
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [369]
% (f(A,f(B,C)) mult f(A,f(B,C))) mult (D mult D) <->
% f(f(A,f(C,B)),D) mult f(f(A,f(C,B)),D)
% Current number of equations to process: 4118
% Current number of ordered equations: 3
% Current number of rules: 295
% New rule produced :
% [370]
% (f(A,f(B,C)) mult f(A,f(B,C))) mult (D mult D) <->
% f(f(f(C,B),A),D) mult f(f(f(C,B),A),D)
% Current number of equations to process: 4118
% Current number of ordered equations: 2
% Current number of rules: 296
% New rule produced :
% [371]
% f(f(A,f(C,B)),D) mult f(f(A,f(C,B)),D) <->
% (f(A,f(B,C)) mult f(A,f(B,C))) mult (D mult D)
% Current number of equations to process: 4118
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [372]
% f(f(f(C,B),A),D) mult f(f(f(C,B),A),D) <->
% (f(A,f(B,C)) mult f(A,f(B,C))) mult (D mult D)
% Current number of equations to process: 4118
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [373]
% (f(A,f(B,C)) mult f(A,f(B,C))) mult (D mult D) <->
% f(D,f(A,f(C,B))) mult f(D,f(A,f(C,B)))
% Current number of equations to process: 4116
% Current number of ordered equations: 3
% Current number of rules: 299
% New rule produced :
% [374]
% (f(A,f(B,C)) mult f(A,f(B,C))) mult (D mult D) <->
% f(D,f(f(C,B),A)) mult f(D,f(f(C,B),A))
% Current number of equations to process: 4116
% Current number of ordered equations: 2
% Current number of rules: 300
% New rule produced :
% [375]
% f(D,f(A,f(C,B))) mult f(D,f(A,f(C,B))) <->
% (f(A,f(B,C)) mult f(A,f(B,C))) mult (D mult D)
% Current number of equations to process: 4116
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [376]
% f(D,f(f(C,B),A)) mult f(D,f(f(C,B),A)) <->
% (f(A,f(B,C)) mult f(A,f(B,C))) mult (D mult D)
% Current number of equations to process: 4116
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [377]
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D)) <->
% f(f(B,A),f(D,C)) mult f(f(B,A),f(D,C))
% Current number of equations to process: 4115
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [378]
% f(f(B,A),f(D,C)) mult f(f(B,A),f(D,C)) <->
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [379]
% f(f(A,B),f(C,D)) mult f(f(A,B),f(C,D)) <->
% f(f(B,A),f(D,C)) mult f(f(B,A),f(D,C))
% Current number of equations to process: 4114
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [380]
% (f(A,B) mult f(A,B)) mult (f(D,C) mult f(D,C)) <->
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 4112
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [381]
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D)) <->
% (f(A,B) mult f(A,B)) mult (f(D,C) mult f(D,C))
% Current number of equations to process: 4112
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [382]
% ld(f(unit,f(f(A,B),C)),(f(B,A) mult f(B,A)) mult (C mult C)) ->
% f(unit,f(f(A,B),C))
% Current number of equations to process: 4111
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [383]
% ld(f(f(f(A,B),C),unit),(f(B,A) mult f(B,A)) mult (C mult C)) ->
% f(f(f(A,B),C),unit)
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [384]
% ld(f(unit,f(A,f(B,C))),(f(C,B) mult f(C,B)) mult (A mult A)) ->
% f(unit,f(A,f(B,C)))
% Current number of equations to process: 4108
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [385]
% ld(f(f(A,f(B,C)),unit),(f(C,B) mult f(C,B)) mult (A mult A)) ->
% f(f(A,f(B,C)),unit)
% Current number of equations to process: 4107
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [386]
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D)) <->
% (f(B,A) mult f(B,A)) mult (f(D,C) mult f(D,C))
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [387]
% ld(f(f(A,B),f(unit,C)),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(f(A,B),f(unit,C))
% Current number of equations to process: 4104
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [388]
% ld(f(A,f(unit,f(B,C))),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(A,f(unit,f(B,C)))
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [389]
% ld(f(A mult A,f(unit,B)),(f(A,A) mult f(A,A)) mult (B mult B)) ->
% f(A mult A,f(unit,B))
% Current number of equations to process: 4102
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [390]
% ld(f(A,f(unit,B mult B)),(f(B,B) mult f(B,B)) mult (A mult A)) ->
% f(A,f(unit,B mult B))
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [391]
% ld(f(f(A,B),f(unit,C)),(f(B,A) mult f(B,A)) mult (C mult C)) ->
% f(f(A,B),f(unit,C))
% Current number of equations to process: 4100
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [392]
% ld(f(A,f(unit,f(B,C))),(f(C,B) mult f(C,B)) mult (A mult A)) ->
% f(A,f(unit,f(B,C)))
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [393]
% ld(f(f(A,B),f(unit,C)),f(f(B,A),C) mult f(f(B,A),C)) -> f(f(A,B),f(unit,C))
% Current number of equations to process: 4096
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [394]
% ld(f(A,f(unit,f(B,C))),f(f(C,B),A) mult f(f(C,B),A)) -> f(A,f(unit,f(B,C)))
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [395]
% ld(f(f(A,B),f(unit,C)),f(C,f(B,A)) mult f(C,f(B,A))) -> f(f(A,B),f(unit,C))
% Current number of equations to process: 4094
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [396]
% ld(f(A,f(unit,f(B,C))),f(A,f(C,B)) mult f(A,f(C,B))) -> f(A,f(unit,f(B,C)))
% Current number of equations to process: 4094
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [397]
% ld(f(f(unit,f(A,B)),C),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(f(unit,f(A,B)),C)
% Current number of equations to process: 4092
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [398]
% ld(f(f(unit,A),f(B,C)),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(f(unit,A),f(B,C))
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [399]
% ld(f(f(unit,A mult A),B),(f(A,A) mult f(A,A)) mult (B mult B)) ->
% f(f(unit,A mult A),B)
% Current number of equations to process: 4090
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [400]
% ld(f(f(unit,A),B mult B),(f(B,B) mult f(B,B)) mult (A mult A)) ->
% f(f(unit,A),B mult B)
% Current number of equations to process: 4090
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [401]
% ld(f(f(unit,f(A,B)),C),(f(B,A) mult f(B,A)) mult (C mult C)) ->
% f(f(unit,f(A,B)),C)
% Current number of equations to process: 4088
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [402]
% ld(f(f(unit,A),f(B,C)),(f(C,B) mult f(C,B)) mult (A mult A)) ->
% f(f(unit,A),f(B,C))
% Current number of equations to process: 4088
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [403]
% ld(f(f(unit,f(A,B)),C),f(f(B,A),C) mult f(f(B,A),C)) -> f(f(unit,f(A,B)),C)
% Current number of equations to process: 4084
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [404]
% ld(f(f(unit,A),f(B,C)),f(f(C,B),A) mult f(f(C,B),A)) -> f(f(unit,A),f(B,C))
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [405]
% ld(f(f(unit,f(A,B)),C),f(C,f(B,A)) mult f(C,f(B,A))) -> f(f(unit,f(A,B)),C)
% Current number of equations to process: 4082
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [406]
% ld(f(f(unit,A),f(B,C)),f(A,f(C,B)) mult f(A,f(C,B))) -> f(f(unit,A),f(B,C))
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [407]
% ld(f(A,f(f(B,C),unit)),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(A,f(f(B,C),unit))
% Current number of equations to process: 4080
% Current number of ordered equations: 1
% Current number of rules: 333
% New rule produced :
% [408]
% ld(f(f(A,B),f(C,unit)),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(f(A,B),f(C,unit))
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [409]
% ld(f(A mult A,f(B,unit)),(f(A,A) mult f(A,A)) mult (B mult B)) ->
% f(A mult A,f(B,unit))
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 335
% New rule produced :
% [410]
% ld(f(A,f(B mult B,unit)),(f(B,B) mult f(B,B)) mult (A mult A)) ->
% f(A,f(B mult B,unit))
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [411]
% ld(f(A,f(f(B,C),unit)),(f(C,B) mult f(C,B)) mult (A mult A)) ->
% f(A,f(f(B,C),unit))
% Current number of equations to process: 4076
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [412]
% ld(f(f(A,B),f(C,unit)),(f(B,A) mult f(B,A)) mult (C mult C)) ->
% f(f(A,B),f(C,unit))
% Current number of equations to process: 4076
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [413]
% ld(f(A,f(f(B,C),unit)),f(f(C,B),A) mult f(f(C,B),A)) -> f(A,f(f(B,C),unit))
% Current number of equations to process: 4072
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [414]
% ld(f(f(A,B),f(C,unit)),f(f(B,A),C) mult f(f(B,A),C)) -> f(f(A,B),f(C,unit))
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [415]
% ld(f(A,f(f(B,C),unit)),f(A,f(C,B)) mult f(A,f(C,B))) -> f(A,f(f(B,C),unit))
% Current number of equations to process: 4070
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [416]
% ld(f(f(A,B),f(C,unit)),f(C,f(B,A)) mult f(C,f(B,A))) -> f(f(A,B),f(C,unit))
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [417]
% ld(f(f(f(A,B),unit),C),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(f(f(A,B),unit),C)
% Current number of equations to process: 4068
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [418]
% ld(f(f(A,unit),f(B,C)),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(f(A,unit),f(B,C))
% Current number of equations to process: 4068
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [419]
% ld(f(f(A,unit),B mult B),(f(B,B) mult f(B,B)) mult (A mult A)) ->
% f(f(A,unit),B mult B)
% Current number of equations to process: 4066
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [420]
% ld(f(f(A mult A,unit),B),(f(A,A) mult f(A,A)) mult (B mult B)) ->
% f(f(A mult A,unit),B)
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [421]
% ld(f(f(f(A,B),unit),C),(f(B,A) mult f(B,A)) mult (C mult C)) ->
% f(f(f(A,B),unit),C)
% Current number of equations to process: 4064
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [422]
% ld(f(f(A,unit),f(B,C)),(f(C,B) mult f(C,B)) mult (A mult A)) ->
% f(f(A,unit),f(B,C))
% Current number of equations to process: 4064
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [423]
% ld(f(f(f(A,B),unit),C),f(f(B,A),C) mult f(f(B,A),C)) -> f(f(f(A,B),unit),C)
% Current number of equations to process: 4060
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [424]
% ld(f(f(A,unit),f(B,C)),f(f(C,B),A) mult f(f(C,B),A)) -> f(f(A,unit),f(B,C))
% Current number of equations to process: 4060
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [425]
% ld(f(f(f(A,B),unit),C),f(C,f(B,A)) mult f(C,f(B,A))) -> f(f(f(A,B),unit),C)
% Current number of equations to process: 4058
% Current number of ordered equations: 1
% Current number of rules: 351
% New rule produced :
% [426]
% ld(f(f(A,unit),f(B,C)),f(A,f(C,B)) mult f(A,f(C,B))) -> f(f(A,unit),f(B,C))
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [427]
% ld(f(f(A,f(unit,B)),C),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(f(A,f(unit,B)),C)
% Current number of equations to process: 4055
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [428]
% ld(f(f(f(unit,A),B),C),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(f(f(unit,A),B),C)
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [429]
% ld(f(f(A,f(B,unit)),C),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(f(A,f(B,unit)),C)
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [430]
% ld(f(f(f(A,unit),B),C),((A mult A) mult (B mult B)) mult (C mult C)) ->
% f(f(f(A,unit),B),C)
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [431]
% ld(f(A,f(B,f(unit,C))),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(A,f(B,f(unit,C)))
% Current number of equations to process: 4049
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [432]
% ld(f(A,f(f(unit,B),C)),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(A,f(f(unit,B),C))
% Current number of equations to process: 4049
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [433]
% ld(f(A,f(B,f(C,unit))),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(A,f(B,f(C,unit)))
% Current number of equations to process: 4046
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [434]
% ld(f(A,f(f(B,unit),C)),((B mult B) mult (C mult C)) mult (A mult A)) ->
% f(A,f(f(B,unit),C))
% Current number of equations to process: 4046
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [435]
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) <->
% f(f(A mult A,B),C) mult f(f(A mult A,B),C)
% Current number of equations to process: 4036
% Current number of ordered equations: 3
% Current number of rules: 361
% New rule produced :
% [436]
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) <->
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B))
% Current number of equations to process: 4036
% Current number of ordered equations: 2
% Current number of rules: 362
% New rule produced :
% [437]
% f(f(A mult A,B),C) mult f(f(A mult A,B),C) <->
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C)
% Current number of equations to process: 4036
% Current number of ordered equations: 1
% Current number of rules: 363
% New rule produced :
% [438]
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B)) <->
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C)
% Current number of equations to process: 4036
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [439]
% ld(f(unit,f(A mult A,B)),f(f(A,A),B) mult f(f(A,A),B)) ->
% f(unit,f(A mult A,B))
% Current number of equations to process: 4035
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [440]
% ld(f(f(A mult A,B),unit),f(f(A,A),B) mult f(f(A,A),B)) ->
% f(f(A mult A,B),unit)
% Current number of equations to process: 4032
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [441]
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) <->
% f(f(B,A mult A),C) mult f(f(B,A mult A),C)
% Current number of equations to process: 4029
% Current number of ordered equations: 1
% Current number of rules: 367
% New rule produced :
% [442]
% f(f(B,A mult A),C) mult f(f(B,A mult A),C) <->
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C)
% Current number of equations to process: 4029
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [443]
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) <->
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A))
% Current number of equations to process: 4028
% Current number of ordered equations: 1
% Current number of rules: 369
% New rule produced :
% [444]
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A)) <->
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C)
% Current number of equations to process: 4028
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [445]
% f(f(A,B mult B),C) mult f(f(A,B mult B),C) <->
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C)
% Current number of equations to process: 4026
% Current number of ordered equations: 3
% Current number of rules: 371
% New rule produced :
% [446]
% f(C,f(A,B mult B)) mult f(C,f(A,B mult B)) <->
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C)
% Current number of equations to process: 4026
% Current number of ordered equations: 2
% Current number of rules: 372
% New rule produced :
% [447]
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) <->
% f(f(A,B mult B),C) mult f(f(A,B mult B),C)
% Current number of equations to process: 4026
% Current number of ordered equations: 1
% Current number of rules: 373
% New rule produced :
% [448]
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) <->
% f(C,f(A,B mult B)) mult f(C,f(A,B mult B))
% Current number of equations to process: 4026
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [449]
% ld(f(unit,f(A,B mult B)),f(A,f(B,B)) mult f(A,f(B,B))) ->
% f(unit,f(A,B mult B))
% Current number of equations to process: 4025
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [450]
% ld(f(f(A,B mult B),unit),f(A,f(B,B)) mult f(A,f(B,B))) ->
% f(f(A,B mult B),unit)
% Current number of equations to process: 4020
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [451]
% f(f(B mult B,A),C) mult f(f(B mult B,A),C) <->
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C)
% Current number of equations to process: 4015
% Current number of ordered equations: 1
% Current number of rules: 377
% New rule produced :
% [452]
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) <->
% f(f(B mult B,A),C) mult f(f(B mult B,A),C)
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [453]
% f(C,f(B mult B,A)) mult f(C,f(B mult B,A)) <->
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C)
% Current number of equations to process: 4014
% Current number of ordered equations: 1
% Current number of rules: 379
% New rule produced :
% [454]
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) <->
% f(C,f(B mult B,A)) mult f(C,f(B mult B,A))
% Current number of equations to process: 4014
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [455]
% ld(f(unit,f(f(A,B),C)),f(f(B,A),C) mult f(f(B,A),C)) -> f(unit,f(f(A,B),C))
% Current number of equations to process: 4005
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [456]
% ld(f(f(f(A,B),C),unit),f(f(B,A),C) mult f(f(B,A),C)) -> f(f(f(A,B),C),unit)
% Current number of equations to process: 4002
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [457]
% ld(f(unit,f(f(A,B),C)),f(C,f(B,A)) mult f(C,f(B,A))) -> f(unit,f(f(A,B),C))
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [458]
% ld(f(f(f(A,B),C),unit),f(C,f(B,A)) mult f(C,f(B,A))) -> f(f(f(A,B),C),unit)
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [459]
% ld(f(unit,f(A,f(B,C))),f(f(C,B),A) mult f(f(C,B),A)) -> f(unit,f(A,f(B,C)))
% Current number of equations to process: 3980
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [460]
% ld(f(f(A,f(B,C)),unit),f(f(C,B),A) mult f(f(C,B),A)) -> f(f(A,f(B,C)),unit)
% Current number of equations to process: 3975
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [461]
% ld(f(unit,f(A,f(B,C))),f(A,f(C,B)) mult f(A,f(C,B))) -> f(unit,f(A,f(B,C)))
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [462]
% ld(f(f(A,f(B,C)),unit),f(A,f(C,B)) mult f(A,f(C,B))) -> f(f(A,f(B,C)),unit)
% Current number of equations to process: 3958
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [463]
% 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: 3948
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [464]
% 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: 3948
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [465]
% ld(f(unit,A) mult B,(((A mult A) mult f(unit,A)) mult B) mult f(unit,A)) ->
% (A mult A) mult f(unit,A)
% Current number of equations to process: 3947
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [466]
% ld(f(A,unit) mult B,(((A mult A) mult f(A,unit)) mult B) mult f(A,unit)) ->
% (A mult A) mult f(A,unit)
% Current number of equations to process: 3946
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [467]
% 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: 3945
% Current number of ordered equations: 1
% Current number of rules: 393
% New rule produced :
% [468]
% ((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: 3945
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [469]
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D)) <->
% f(f(C,D),f(B,A)) mult f(f(C,D),f(B,A))
% Current number of equations to process: 3942
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [470]
% f(f(C,D),f(B,A)) mult f(f(C,D),f(B,A)) <->
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D))
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [471]
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D)) <->
% f(f(D,C),f(B,A)) mult f(f(D,C),f(B,A))
% Current number of equations to process: 3928
% Current number of ordered equations: 1
% Current number of rules: 397
% New rule produced :
% [472]
% f(f(D,C),f(B,A)) mult f(f(D,C),f(B,A)) <->
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D))
% Current number of equations to process: 3928
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [473]
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D)) <->
% f(f(B,A),f(C,D)) mult f(f(B,A),f(C,D))
% Current number of equations to process: 3900
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [474]
% f(f(B,A),f(C,D)) mult f(f(B,A),f(C,D)) <->
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D))
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [475]
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D)) <->
% f(f(B,A),f(D,C)) mult f(f(B,A),f(D,C))
% Current number of equations to process: 3873
% Current number of ordered equations: 1
% Current number of rules: 401
% New rule produced :
% [476]
% f(f(B,A),f(D,C)) mult f(f(B,A),f(D,C)) <->
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D))
% Current number of equations to process: 3873
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [477] ld(A mult B,(A mult A) mult B) mult ld(A mult B,B) -> unit
% Current number of equations to process: 4129
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [478]
% 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: 4132
% Current number of ordered equations: 2
% Current number of rules: 404
% New rule produced :
% [479]
% 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: 4132
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [480]
% 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
% [162]
% 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: 4133
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [481]
% 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: 4132
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [482]
% (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: 4164
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [483]
% f(unit,A) mult ld(A mult A,f(unit,A) mult B) ->
% ld(A mult A,(f(unit,A) mult B) mult f(unit,A))
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [484]
% f(A,unit) mult ld(A mult A,f(A,unit) mult B) ->
% ld(A mult A,(f(A,unit) mult B) mult f(A,unit))
% Current number of equations to process: 4163
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [485] ld(A mult A,A mult B) mult A -> ld(A mult A,(A mult B) mult A)
% Rule
% [482]
% (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: 4258
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [486]
% 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: 4270
% Current number of ordered equations: 1
% Current number of rules: 410
% New rule produced :
% [487]
% 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 [477] ld(A mult B,(A mult A) mult B) mult ld(A mult B,B) -> unit
% collapsed.
% Current number of equations to process: 4270
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [488]
% 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: 4268
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [489]
% 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: 4268
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [490]
% 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: 4267
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [491]
% f(f(B mult B,A),C) mult f(f(B mult B,A),C) <->
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C)
% Current number of equations to process: 4592
% Current number of ordered equations: 2
% Current number of rules: 414
% Rule [452]
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) <->
% f(f(B mult B,A),C) mult f(f(B mult B,A),C) is composed into [452]
% (f(A,f(B,B)) mult 
% f(A,
% f(B,B))) mult 
% (C mult C)
% <->
% f(f(
% f(B,B),A),C) mult 
% f(f(
% f(B,B),A),C)
% Rule [435]
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) <->
% f(f(A mult A,B),C) mult f(f(A mult A,B),C) is composed into [435]
% (f(f(A,A),B) mult 
% f(f(A,A),B)) mult 
% (C mult C)
% <->
% f(f(
% f(A,A),B),C) mult 
% f(f(
% f(A,A),B),C)
% Rule [123]
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) <->
% f(f(A mult A,B),C) mult f(f(A mult A,B),C) is composed into [123]
% ((f(A,A) mult 
% f(A,A)) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(f(
% f(A,A),B),C) mult 
% f(f(
% f(A,A),B),C)
% New rule produced :
% [492]
% f(f(A mult A,B),C) mult f(f(A mult A,B),C) ->
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C)
% Rule
% [125]
% f(f(A mult A,B),C) mult f(f(A mult A,B),C) <->
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [437]
% f(f(A mult A,B),C) mult f(f(A mult A,B),C) <->
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) collapsed.
% Rule
% [451]
% f(f(B mult B,A),C) mult f(f(B mult B,A),C) <->
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) collapsed.
% Rule
% [491]
% f(f(B mult B,A),C) mult f(f(B mult B,A),C) <->
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C) collapsed.
% Current number of equations to process: 4592
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [493]
% f(C,f(B mult B,A)) mult f(C,f(B mult B,A)) <->
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C)
% Current number of equations to process: 4738
% Current number of ordered equations: 3
% Current number of rules: 412
% New rule produced :
% [494]
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B)) <->
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C)
% Current number of equations to process: 4738
% Current number of ordered equations: 2
% Current number of rules: 413
% New rule produced :
% [495]
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C) <->
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B))
% Current number of equations to process: 4738
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [496]
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C) <->
% f(C,f(B mult B,A)) mult f(C,f(B mult B,A))
% Current number of equations to process: 4738
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [497]
% f(A,f(B,f(C,C))) mult f(A,f(B,f(C,C))) <->
% f(A,f(C mult C,B)) mult f(A,f(C mult C,B))
% Current number of equations to process: 4736
% Current number of ordered equations: 2
% Current number of rules: 416
% New rule produced :
% [498]
% f(A,f(C mult C,B)) mult f(A,f(C mult C,B)) <->
% f(A,f(B,f(C,C))) mult f(A,f(B,f(C,C)))
% Current number of equations to process: 4736
% Current number of ordered equations: 1
% Current number of rules: 417
% Rule [497]
% f(A,f(B,f(C,C))) mult f(A,f(B,f(C,C))) <->
% f(A,f(C mult C,B)) mult f(A,f(C mult C,B)) is composed into [497]
% f(A,
% f(B,
% f(C,C))) mult 
% f(A,
% f(B,
% f(C,C))) <->
% f(A,
% f(f(C,C),B)) mult 
% f(A,
% f(f(C,C),B))
% Rule [496]
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C) <->
% f(C,f(B mult B,A)) mult f(C,f(B mult B,A)) is composed into [496]
% f(f(A,
% f(B,B)),C) mult 
% f(f(A,
% f(B,B)),C)
% <->
% f(C,
% f(f(B,B),A)) mult 
% f(C,
% f(f(B,B),A))
% Rule [495]
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C) <->
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B)) is composed into [495]
% f(f(
% f(A,A),B),C) mult 
% f(f(
% f(A,A),B),C)
% <->
% f(C,
% f(f(A,A),B)) mult 
% f(C,
% f(f(A,A),B))
% Rule [454]
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) <->
% f(C,f(B mult B,A)) mult f(C,f(B mult B,A)) is composed into [454]
% (f(A,f(B,B)) mult 
% f(A,
% f(B,B))) mult 
% (C mult C)
% <->
% f(C,
% f(f(B,B),A)) mult 
% f(C,
% f(f(B,B),A))
% Rule [436]
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) <->
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B)) is composed into [436]
% (f(f(A,A),B) mult 
% f(f(A,A),B)) mult 
% (C mult C)
% <->
% f(C,
% f(f(A,A),B)) mult 
% f(C,
% f(f(A,A),B))
% Rule [124]
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) <->
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B)) is composed into [124]
% ((f(A,A) mult 
% f(A,A)) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(f(A,A),B)) mult 
% f(C,
% f(f(A,A),B))
% New rule produced :
% [499]
% f(A,f(B mult B,C)) mult f(A,f(B mult B,C)) ->
% f(A,f(f(B,B),C)) mult f(A,f(f(B,B),C))
% Rule
% [126]
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B)) <->
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [438]
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B)) <->
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) collapsed.
% Rule
% [453]
% f(C,f(B mult B,A)) mult f(C,f(B mult B,A)) <->
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) collapsed.
% Rule
% [493]
% f(C,f(B mult B,A)) mult f(C,f(B mult B,A)) <->
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C) collapsed.
% Rule
% [494]
% f(C,f(A mult A,B)) mult f(C,f(A mult A,B)) <->
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C) collapsed.
% Rule
% [498]
% f(A,f(C mult C,B)) mult f(A,f(C mult C,B)) <->
% f(A,f(B,f(C,C))) mult f(A,f(B,f(C,C))) collapsed.
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [500]
% f(f(f(A,B),C),D) mult f(f(f(A,B),C),D) <->
% f(f(f(B,A),C),D) mult f(f(f(B,A),C),D)
% Current number of equations to process: 2658
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [501]
% f(f(f(A,B),C),D) mult f(f(f(A,B),C),D) <->
% f(f(C,f(B,A)),D) mult f(f(C,f(B,A)),D)
% Current number of equations to process: 2845
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [502]
% f(f(C,f(B,A)),D) mult f(f(C,f(B,A)),D) <->
% f(f(f(A,B),C),D) mult f(f(f(A,B),C),D)
% Current number of equations to process: 2845
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [503]
% f(f(A,f(B,C)),D) mult f(f(A,f(B,C)),D) <->
% f(f(A,f(C,B)),D) mult f(f(A,f(C,B)),D)
% Current number of equations to process: 2844
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [504]
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D)) <->
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D))
% Current number of equations to process: 3105
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced :
% [505]
% ((A mult A) mult (B mult B)) mult ((C mult C) mult (D mult D)) <->
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 3105
% Current number of ordered equations: 0
% Current number of rules: 418
% Rule [447]
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) <->
% f(f(A,B mult B),C) mult f(f(A,B mult B),C) is composed into [447]
% (f(A,f(B,B)) mult 
% f(A,
% f(B,B))) mult 
% (C mult C)
% <->
% f(f(A,
% f(B,B)),C) mult 
% f(f(A,
% f(B,B)),C)
% Rule [441]
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) <->
% f(f(B,A mult A),C) mult f(f(B,A mult A),C) is composed into [441]
% (f(f(A,A),B) mult 
% f(f(A,A),B)) mult 
% (C mult C)
% <->
% f(f(B,
% f(A,A)),C) mult 
% f(f(B,
% f(A,A)),C)
% Rule [137]
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) <->
% f(f(B,A mult A),C) mult f(f(B,A mult A),C) is composed into [137]
% ((f(A,A) mult 
% f(A,A)) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(f(B,
% f(A,A)),C) mult 
% f(f(B,
% f(A,A)),C)
% New rule produced :
% [506]
% f(f(A,B mult B),C) mult f(f(A,B mult B),C) ->
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C)
% Rule
% [138]
% f(f(B,A mult A),C) mult f(f(B,A mult A),C) <->
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [442]
% f(f(B,A mult A),C) mult f(f(B,A mult A),C) <->
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) collapsed.
% Rule
% [445]
% f(f(A,B mult B),C) mult f(f(A,B mult B),C) <->
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) collapsed.
% Current number of equations to process: 3268
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [507]
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D)) <->
% f(f(A,B),f(D,C)) mult f(f(A,B),f(D,C))
% Current number of equations to process: 3370
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced :
% [508]
% f(f(A,B),f(D,C)) mult f(f(A,B),f(D,C)) <->
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 3370
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [509]
% f(A,f(f(B,C),D)) mult f(A,f(f(B,C),D)) <->
% f(f(f(C,B),D),A) mult f(f(f(C,B),D),A)
% Current number of equations to process: 3562
% Current number of ordered equations: 3
% Current number of rules: 419
% New rule produced :
% [510]
% f(A,f(B,f(C,D))) mult f(A,f(B,f(C,D))) <->
% f(f(f(D,C),B),A) mult f(f(f(D,C),B),A)
% Current number of equations to process: 3562
% Current number of ordered equations: 2
% Current number of rules: 420
% New rule produced :
% [511]
% f(f(f(C,B),D),A) mult f(f(f(C,B),D),A) <->
% f(A,f(f(B,C),D)) mult f(A,f(f(B,C),D))
% Rule
% [495]
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C) <->
% f(C,f(f(A,A),B)) mult f(C,f(f(A,A),B)) collapsed.
% Current number of equations to process: 3562
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [512]
% f(f(f(D,C),B),A) mult f(f(f(D,C),B),A) <->
% f(A,f(B,f(C,D))) mult f(A,f(B,f(C,D)))
% Current number of equations to process: 3562
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [513]
% f(A,f(f(B,C),D)) mult f(A,f(f(B,C),D)) <->
% f(f(D,f(C,B)),A) mult f(f(D,f(C,B)),A)
% Current number of equations to process: 3725
% Current number of ordered equations: 3
% Current number of rules: 422
% New rule produced :
% [514]
% f(A,f(B,f(C,D))) mult f(A,f(B,f(C,D))) <->
% f(f(B,f(D,C)),A) mult f(f(B,f(D,C)),A)
% Current number of equations to process: 3725
% Current number of ordered equations: 2
% Current number of rules: 423
% New rule produced :
% [515]
% f(f(D,f(C,B)),A) mult f(f(D,f(C,B)),A) <->
% f(A,f(f(B,C),D)) mult f(A,f(f(B,C),D))
% Rule
% [496]
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C) <->
% f(C,f(f(B,B),A)) mult f(C,f(f(B,B),A)) collapsed.
% Current number of equations to process: 3725
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced :
% [516]
% f(f(B,f(D,C)),A) mult f(f(B,f(D,C)),A) <->
% f(A,f(B,f(C,D))) mult f(A,f(B,f(C,D)))
% Current number of equations to process: 3725
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [517]
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D)) <->
% ((C mult C) mult (D mult D)) mult (f(B,A) mult f(B,A))
% Current number of equations to process: 4169
% Current number of ordered equations: 1
% Current number of rules: 425
% New rule produced :
% [518]
% ((C mult C) mult (D mult D)) mult (f(B,A) mult f(B,A)) <->
% ((A mult A) mult (B mult B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 4169
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [519]
% f(A,f(f(B,C),D)) mult f(A,f(f(B,C),D)) <->
% f(A,f(f(C,B),D)) mult f(A,f(f(C,B),D))
% Current number of equations to process: 4747
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [520]
% f(A,f(f(B,C),D)) mult f(A,f(f(B,C),D)) <->
% f(A,f(D,f(C,B))) mult f(A,f(D,f(C,B)))
% Current number of equations to process: 4963
% Current number of ordered equations: 1
% Current number of rules: 428
% New rule produced :
% [521]
% f(A,f(D,f(C,B))) mult f(A,f(D,f(C,B))) <->
% f(A,f(f(B,C),D)) mult f(A,f(f(B,C),D))
% Rule
% [497]
% f(A,f(B,f(C,C))) mult f(A,f(B,f(C,C))) <->
% f(A,f(f(C,C),B)) mult f(A,f(f(C,C),B)) collapsed.
% Current number of equations to process: 4963
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [522]
% f(A,f(B,f(C,D))) mult f(A,f(B,f(C,D))) <->
% f(A,f(B,f(D,C))) mult f(A,f(B,f(D,C)))
% Current number of equations to process: 4962
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [523]
% f(C,f(A,B mult B)) mult f(C,f(A,B mult B)) <->
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C)
% Current number of equations to process: 1864
% Current number of ordered equations: 3
% Current number of rules: 430
% New rule produced :
% [524]
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C) <->
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A))
% Current number of equations to process: 1864
% Current number of ordered equations: 2
% Current number of rules: 431
% New rule produced :
% [525]
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A)) <->
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C)
% Current number of equations to process: 1864
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [526]
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C) <->
% f(C,f(A,B mult B)) mult f(C,f(A,B mult B))
% Current number of equations to process: 1864
% Current number of ordered equations: 0
% Current number of rules: 433
% Rule [526]
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C) <->
% f(C,f(A,B mult B)) mult f(C,f(A,B mult B)) is composed into [526]
% f(f(A,
% f(B,B)),C) mult 
% f(f(A,
% f(B,B)),C)
% <->
% f(C,
% f(A,
% f(B,B))) mult 
% f(C,
% f(A,
% f(B,B)))
% Rule [524]
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C) <->
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A)) is composed into [524]
% f(f(
% f(A,A),B),C) mult 
% f(f(
% f(A,A),B),C)
% <->
% f(C,
% f(B,
% f(A,A))) mult 
% f(C,
% f(B,
% f(A,A)))
% Rule [448]
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) <->
% f(C,f(A,B mult B)) mult f(C,f(A,B mult B)) is composed into [448]
% (f(A,f(B,B)) mult 
% f(A,
% f(B,B))) mult 
% (C mult C)
% <->
% f(C,
% f(A,
% f(B,B))) mult 
% f(C,
% f(A,
% f(B,B)))
% Rule [443]
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) <->
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A)) is composed into [443]
% (f(f(A,A),B) mult 
% f(f(A,A),B)) mult 
% (C mult C)
% <->
% f(C,
% f(B,
% f(A,A))) mult 
% f(C,
% f(B,
% f(A,A)))
% Rule [151]
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) <->
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A)) is composed into [151]
% ((f(A,A) mult 
% f(A,A)) mult 
% (B mult B)) mult 
% (C mult C)
% <->
% f(C,
% f(B,
% f(A,A))) mult 
% f(C,
% f(B,
% f(A,A)))
% New rule produced :
% [527]
% f(A,f(B,C mult C)) mult f(A,f(B,C mult C)) ->
% f(A,f(B,f(C,C))) mult f(A,f(B,f(C,C)))
% Rule
% [152]
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A)) <->
% ((f(A,A) mult f(A,A)) mult (B mult B)) mult (C mult C) collapsed.
% Rule
% [444]
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A)) <->
% (f(f(A,A),B) mult f(f(A,A),B)) mult (C mult C) collapsed.
% Rule
% [446]
% f(C,f(A,B mult B)) mult f(C,f(A,B mult B)) <->
% (f(A,f(B,B)) mult f(A,f(B,B))) mult (C mult C) collapsed.
% Rule
% [523]
% f(C,f(A,B mult B)) mult f(C,f(A,B mult B)) <->
% f(f(A,f(B,B)),C) mult f(f(A,f(B,B)),C) collapsed.
% Rule
% [525]
% f(C,f(B,A mult A)) mult f(C,f(B,A mult A)) <->
% f(f(f(A,A),B),C) mult f(f(f(A,A),B),C) collapsed.
% Current number of equations to process: 1862
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [528]
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D)) <->
% f(f(D,C),f(A,B)) mult f(f(D,C),f(A,B))
% Current number of equations to process: 1984
% Current number of ordered equations: 1
% Current number of rules: 430
% New rule produced :
% [529]
% f(f(D,C),f(A,B)) mult f(f(D,C),f(A,B)) <->
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 1984
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [530]
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D)) <->
% ((C mult C) mult (D mult D)) mult (f(B,A) mult f(B,A))
% Current number of equations to process: 3049
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [531]
% ((C mult C) mult (D mult D)) mult (f(B,A) mult f(B,A)) <->
% (f(A,B) mult f(A,B)) mult (f(C,D) mult f(C,D))
% Current number of equations to process: 3049
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [532]
% (((A mult A) mult (B mult B)) mult C) mult f(A,B) ->
% (f(A,B) mult f(A,B)) mult (f(A,B) mult C)
% Rule
% [160]
% ld(f(A,B) mult C,(((A mult A) mult (B mult B)) mult C) mult f(A,B)) ->
% f(A,B) mult f(A,B) collapsed.
% Current number of equations to process: 3239
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [533]
% ((f(B,A) mult f(B,A)) mult C) mult f(A,B) ->
% (f(A,B) mult f(A,B)) mult (f(A,B) mult C)
% Rule
% [161]
% ld(f(A,B) mult C,((f(B,A) mult f(B,A)) mult C) mult f(A,B)) ->
% f(A,B) mult f(A,B) collapsed.
% Current number of equations to process: 3245
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [534]
% ld(f(A,B) mult ld((A mult A) mult (B mult B),C),f(A,B) mult C) ->
% f(A,B) mult f(A,B)
% Current number of equations to process: 3245
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [535]
% ld(f(A,B) mult ld(f(B,A) mult f(B,A),C),f(A,B) mult C) -> f(A,B) mult f(A,B)
% Current number of equations to process: 3243
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [536]
% 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: 3241
% Current number of ordered equations: 2
% Current number of rules: 436
% New rule produced :
% [537]
% 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: 3241
% Current number of ordered equations: 1
% Current number of rules: 437
% New rule produced :
% [538]
% 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: 3241
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [539]
% 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: 3240
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [540]
% (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: 3240
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [541]
% 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: 3239
% Current number of ordered equations: 1
% Current number of rules: 441
% New rule produced :
% [542]
% 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: 3239
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [543]
% 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: 3238
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [544]
% (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: 3235
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [545]
% ld(f(unit,B),A) mult ld(A,(B mult B) mult ld(f(unit,B),A)) ->
% ld(A,(f(unit,B) mult A) mult ld(f(unit,B),A))
% Current number of equations to process: 3233
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [546]
% ld(f(B,unit),A) mult ld(A,(B mult B) mult ld(f(B,unit),A)) ->
% ld(A,(f(B,unit) mult A) mult ld(f(B,unit),A))
% Current number of equations to process: 3250
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [547]
% 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: 3274
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [548]
% ((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: 3470
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [549]
% 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: 3563
% Current number of ordered equations: 1
% Current number of rules: 449
% New rule produced :
% [550]
% 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: 3563
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [551]
% 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: 3562
% Current number of orderCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------