TSTP Solution File: GRP750-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP750-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n134.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 00:24:29 EDT 2014

% Result   : Timeout 300.10s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP750-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n134.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 01:35:28 CDT 2014
% % CPUTime  : 300.10 
% Processing problem /tmp/CiME_44591_n134.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant;  rd : 2;  mult : 2;  ld : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% mult(A,ld(A,B)) = B;
% ld(A,mult(A,B)) = B;
% mult(rd(A,B),B) = A;
% rd(mult(A,B),B) = A;
% mult(mult(A,mult(A,A)),mult(B,C)) = mult(mult(A,B),mult(mult(A,A),C));
% mult(mult(A,B),mult(C,C)) = mult(mult(A,C),mult(B,C));
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
% 
% let p1 = precedence F "
% ld > mult > rd > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% rd mul;
% mult mul;
% ld mul;
% ";
% 
% let p2 = precedence F "
% ld > mult > rd > a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " mult(mult(a,a),mult(b,c)) = mult(mult(a,b),mult(a,c));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% mult(rd(A,B),B) = A,
% rd(mult(A,B),B) = A,
% mult(mult(A,mult(A,A)),mult(B,C)) =
% mult(mult(A,B),mult(mult(A,A),C)),
% mult(mult(A,B),mult(C,C)) =
% mult(mult(A,C),mult(B,C)) } (6 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { mult(mult(a,a),mult(b,c)) =
% mult(mult(a,b),mult(a,c)) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 1
% New rule produced : [2] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 2
% New rule produced : [3] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 3
% New rule produced : [4] ld(A,mult(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 4
% New rule produced :
% [5] mult(mult(A,B),mult(C,C)) <-> mult(mult(A,C),mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 5
% New rule produced :
% [6] mult(mult(A,C),mult(B,C)) <-> mult(mult(A,B),mult(C,C))
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 6
% New rule produced :
% [7] mult(mult(A,B),mult(mult(A,A),C)) <-> mult(mult(A,mult(A,A)),mult(B,C))
% Current number of equations to process: 9
% Current number of ordered equations: 11
% Current number of rules: 7
% New rule produced :
% [8] mult(mult(A,mult(A,A)),mult(B,C)) <-> mult(mult(A,B),mult(mult(A,A),C))
% Current number of equations to process: 9
% Current number of ordered equations: 10
% Current number of rules: 8
% New rule produced : [9] rd(A,ld(B,A)) -> B
% Current number of equations to process: 9
% Current number of ordered equations: 9
% Current number of rules: 9
% New rule produced : [10] ld(rd(A,B),A) -> B
% Current number of equations to process: 9
% Current number of ordered equations: 8
% Current number of rules: 10
% New rule produced :
% [11] mult(A,mult(B,B)) <-> mult(mult(C,B),mult(ld(C,A),B))
% Current number of equations to process: 9
% Current number of ordered equations: 7
% Current number of rules: 11
% New rule produced :
% [12] mult(mult(C,B),mult(ld(C,A),B)) <-> mult(A,mult(B,B))
% Current number of equations to process: 9
% Current number of ordered equations: 6
% Current number of rules: 12
% New rule produced : [13] mult(mult(rd(A,C),B),mult(C,B)) -> mult(A,mult(B,B))
% Current number of equations to process: 9
% Current number of ordered equations: 5
% Current number of rules: 13
% New rule produced : [14] mult(mult(rd(A,C),B),mult(C,C)) -> mult(A,mult(B,C))
% Current number of equations to process: 9
% Current number of ordered equations: 4
% Current number of rules: 14
% New rule produced : [15] rd(mult(mult(A,B),mult(C,B)),mult(B,B)) -> mult(A,C)
% Current number of equations to process: 9
% Current number of ordered equations: 3
% Current number of rules: 15
% New rule produced : [16] ld(mult(A,B),mult(mult(A,C),mult(B,C))) -> mult(C,C)
% Current number of equations to process: 9
% Current number of ordered equations: 2
% Current number of rules: 16
% New rule produced : [17] rd(mult(mult(A,B),mult(C,C)),mult(B,C)) -> mult(A,C)
% Current number of equations to process: 9
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced : [18] ld(mult(A,B),mult(mult(A,C),mult(B,B))) -> mult(C,B)
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] mult(A,mult(ld(rd(A,B),C),B)) -> mult(C,mult(B,B))
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] ld(mult(A,B),mult(C,mult(B,B))) -> mult(ld(A,C),B)
% Rule [18] ld(mult(A,B),mult(mult(A,C),mult(B,B))) -> mult(C,B) collapsed.
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [21] rd(mult(A,mult(B,B)),mult(C,B)) <-> mult(rd(A,C),B)
% Current number of equations to process: 69
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced : [22] mult(rd(A,C),B) <-> rd(mult(A,mult(B,B)),mult(C,B))
% Rule [3] mult(rd(A,B),B) -> A collapsed.
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [23] rd(mult(A,mult(B,C)),mult(C,C)) <-> mult(rd(A,C),B)
% Current number of equations to process: 79
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced : [24] mult(rd(A,C),B) <-> rd(mult(A,mult(B,C)),mult(C,C))
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [25] ld(A,mult(mult(B,C),mult(ld(B,A),C))) -> mult(C,C)
% Current number of equations to process: 90
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [26] rd(mult(A,mult(B,B)),mult(ld(C,A),B)) -> mult(C,B)
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [27] ld(mult(rd(A,B),C),mult(A,mult(C,B))) -> mult(B,B)
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [28] mult(ld(rd(A,C),B),C) -> ld(A,mult(B,mult(C,C)))
% Rule [19] mult(A,mult(ld(rd(A,B),C),B)) -> mult(C,mult(B,B)) collapsed.
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [29] rd(rd(mult(A,mult(B,B)),mult(C,B)),B) -> rd(A,C)
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [30] rd(rd(mult(A,mult(B,C)),mult(C,C)),B) -> rd(A,C)
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [31] ld(rd(A,C),B) -> rd(ld(A,mult(B,mult(C,C))),C)
% Rule [10] ld(rd(A,B),A) -> B collapsed.
% Rule [28] mult(ld(rd(A,C),B),C) -> ld(A,mult(B,mult(C,C))) collapsed.
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [32] rd(A,rd(ld(B,mult(A,mult(C,C))),C)) -> rd(B,C)
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [33] mult(A,mult(ld(B,C),ld(B,A))) <-> mult(C,mult(ld(B,A),ld(B,A)))
% Current number of equations to process: 406
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [34] mult(C,mult(ld(B,A),ld(B,A))) <-> mult(A,mult(ld(B,C),ld(B,A)))
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [35] mult(mult(rd(A,B),ld(B,C)),C) -> mult(A,mult(ld(B,C),ld(B,C)))
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [36] ld(mult(A,B),mult(C,mult(V_3,B))) -> mult(ld(A,mult(rd(C,B),V_3)),B)
% Rule [20] ld(mult(A,B),mult(C,mult(B,B))) -> mult(ld(A,C),B) collapsed.
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [37] rd(ld(A,mult(rd(mult(A,mult(C,C)),mult(B,C)),mult(B,B))),B) -> C
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [38] rd(mult(A,mult(B,B)),mult(C,B)) <-> rd(mult(A,mult(B,C)),mult(C,C))
% Current number of equations to process: 594
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [39] rd(mult(A,mult(B,C)),mult(C,C)) <-> rd(mult(A,mult(B,B)),mult(C,B))
% Current number of equations to process: 594
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [40] mult(rd(A,B),rd(ld(A,mult(C,mult(B,B))),B)) -> C
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [41] mult(A,mult(B,ld(C,A))) <-> mult(mult(C,B),mult(ld(C,A),ld(C,A)))
% Current number of equations to process: 682
% Current number of ordered equations: 2
% Current number of rules: 35
% New rule produced :
% [42] mult(mult(C,B),mult(ld(C,A),ld(C,A))) <-> mult(A,mult(B,ld(C,A)))
% Current number of equations to process: 682
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [43] mult(mult(A,ld(B,C)),C) -> mult(mult(A,B),mult(ld(B,C),ld(B,C)))
% Rule [35] mult(mult(rd(A,B),ld(B,C)),C) -> mult(A,mult(ld(B,C),ld(B,C)))
% collapsed.
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [44] mult(mult(B,mult(B,B)),mult(ld(B,A),C)) -> mult(A,mult(mult(B,B),C))
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [45] mult(mult(A,mult(A,A)),B) <-> mult(mult(A,C),mult(mult(A,A),ld(C,B)))
% Current number of equations to process: 838
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [46] mult(mult(A,C),mult(mult(A,A),ld(C,B))) <-> mult(mult(A,mult(A,A)),B)
% Current number of equations to process: 838
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [47] mult(mult(A,mult(A,A)),B) <-> mult(mult(A,rd(B,C)),mult(mult(A,A),C))
% Current number of equations to process: 939
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [48] mult(mult(A,rd(B,C)),mult(mult(A,A),C)) <-> mult(mult(A,mult(A,A)),B)
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [49]
% mult(mult(A,B),mult(C,B)) <-> mult(mult(V_3,B),mult(ld(V_3,mult(A,C)),B))
% Current number of equations to process: 1049
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [50]
% mult(mult(V_3,B),mult(ld(V_3,mult(A,C)),B)) <-> mult(mult(A,B),mult(C,B))
% Current number of equations to process: 1049
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [51] mult(mult(A,B),mult(ld(A,C),B)) <-> mult(mult(V_3,B),mult(ld(V_3,C),B))
% Current number of equations to process: 1150
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [52] ld(mult(A,B),mult(C,mult(B,ld(A,C)))) -> mult(ld(A,C),ld(A,C))
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [53] ld(mult(A,A),mult(B,B)) -> mult(ld(A,B),ld(A,B))
% Current number of equations to process: 1283
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [54] rd(mult(A,A),mult(ld(B,A),ld(B,A))) -> mult(B,B)
% Current number of equations to process: 1354
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [55] ld(A,mult(B,mult(ld(C,A),ld(C,A)))) <-> mult(ld(C,B),ld(C,A))
% Current number of equations to process: 1368
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [56] mult(ld(C,B),ld(C,A)) <-> ld(A,mult(B,mult(ld(C,A),ld(C,A))))
% Current number of equations to process: 1368
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [57] mult(rd(A,B),ld(B,C)) <-> rd(mult(A,mult(ld(B,C),ld(B,C))),C)
% Current number of equations to process: 1454
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [58] rd(mult(A,mult(ld(B,C),ld(B,C))),C) <-> mult(rd(A,B),ld(B,C))
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [59] rd(mult(A,mult(B,ld(C,A))),A) <-> mult(rd(mult(C,B),C),ld(C,A))
% Current number of equations to process: 1522
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [60] mult(rd(mult(C,B),C),ld(C,A)) <-> rd(mult(A,mult(B,ld(C,A))),A)
% Current number of equations to process: 1522
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [61] rd(mult(mult(A,B),mult(C,B)),mult(V_3,B)) <-> mult(rd(mult(A,C),V_3),B)
% Current number of equations to process: 1628
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [62] mult(rd(mult(A,C),V_3),B) <-> rd(mult(mult(A,B),mult(C,B)),mult(V_3,B))
% Current number of equations to process: 1628
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [63] ld(A,mult(B,mult(ld(C,A),ld(C,B)))) -> mult(ld(C,B),ld(C,B))
% Current number of equations to process: 1806
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [64] rd(mult(rd(A,C),B),V_3) <-> rd(rd(mult(A,mult(B,C)),mult(V_3,C)),C)
% Current number of equations to process: 1845
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [65] rd(rd(mult(A,mult(B,C)),mult(V_3,C)),C) <-> rd(mult(rd(A,C),B),V_3)
% Current number of equations to process: 1845
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [66] mult(C,mult(mult(A,A),ld(ld(A,C),B))) -> mult(mult(A,mult(A,A)),B)
% Current number of equations to process: 1968
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [67] mult(mult(B,B),ld(ld(B,A),C)) -> ld(A,mult(mult(B,mult(B,B)),C))
% Rule [66] mult(C,mult(mult(A,A),ld(ld(A,C),B))) -> mult(mult(A,mult(A,A)),B)
% collapsed.
% Current number of equations to process: 1976
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [68] ld(mult(A,B),mult(mult(A,mult(A,A)),C)) -> mult(mult(A,A),ld(B,C))
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [69] mult(mult(A,rd(B,ld(mult(A,A),C))),C) -> mult(mult(A,mult(A,A)),B)
% Current number of equations to process: 2095
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [70] mult(A,rd(B,ld(mult(A,A),C))) <-> rd(mult(mult(A,mult(A,A)),B),C)
% Current number of equations to process: 2105
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [71] rd(mult(mult(A,mult(A,A)),B),C) <-> mult(A,rd(B,ld(mult(A,A),C)))
% Current number of equations to process: 2105
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [72] mult(ld(A,mult(B,A)),ld(A,mult(B,A))) <-> mult(ld(A,mult(B,B)),A)
% Current number of equations to process: 2236
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [73] mult(ld(A,mult(B,B)),A) <-> mult(ld(A,mult(B,A)),ld(A,mult(B,A)))
% Current number of equations to process: 2236
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [74] rd(mult(A,mult(ld(B,C),ld(B,A))),A) -> mult(rd(C,B),ld(B,A))
% Current number of equations to process: 2390
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [75] rd(B,ld(mult(A,A),C)) <-> ld(A,rd(mult(mult(A,mult(A,A)),B),C))
% Current number of equations to process: 2421
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [76] ld(A,rd(mult(mult(A,mult(A,A)),B),C)) <-> rd(B,ld(mult(A,A),C))
% Current number of equations to process: 2421
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [77] mult(mult(A,B),C) <-> mult(mult(A,mult(A,A)),mult(B,ld(mult(A,A),C)))
% Rule [69] mult(mult(A,rd(B,ld(mult(A,A),C))),C) -> mult(mult(A,mult(A,A)),B)
% collapsed.
% Current number of equations to process: 2506
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [78] mult(mult(A,mult(A,A)),mult(B,ld(mult(A,A),C))) <-> mult(mult(A,B),C)
% Current number of equations to process: 2506
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [79] ld(mult(A,mult(A,A)),mult(mult(A,B),C)) -> mult(B,ld(mult(A,A),C))
% Current number of equations to process: 2648
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [80] ld(mult(A,mult(A,A)),mult(B,C)) -> mult(ld(A,B),ld(mult(A,A),C))
% Rule [79] ld(mult(A,mult(A,A)),mult(mult(A,B),C)) -> mult(B,ld(mult(A,A),C))
% collapsed.
% Current number of equations to process: 2681
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [81] mult(C,ld(mult(A,A),ld(mult(A,C),B))) <-> ld(mult(A,mult(A,A)),B)
% Current number of equations to process: 2750
% Current number of ordered equations: 1
% Current number of rules: 71
% Rule [81] mult(C,ld(mult(A,A),ld(mult(A,C),B))) <-> ld(mult(A,mult(A,A)),B) is composed into 
% [81]
% mult(C,ld(mult(A,A),ld(mult(A,C),B))) <->
% mult(c,ld(mult(A,A),ld(mult(A,c),B)))
% New rule produced :
% [82] ld(mult(A,mult(A,A)),B) <-> mult(C,ld(mult(A,A),ld(mult(A,C),B)))
% Rule [80] ld(mult(A,mult(A,A)),mult(B,C)) -> mult(ld(A,B),ld(mult(A,A),C))
% collapsed.
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 71
% Rule [81]
% mult(C,ld(mult(A,A),ld(mult(A,C),B))) <->
% mult(c,ld(mult(A,A),ld(mult(A,c),B))) is composed into [81]
% mult(C,ld(
% mult(A,A),
% ld(
% mult(A,C),B)))
% ->
% mult(ld(A,c),
% ld(mult(A,A),
% ld(c,B)))
% New rule produced :
% [83]
% mult(c,ld(mult(A,A),ld(mult(A,c),B))) <-> mult(ld(A,C),ld(mult(A,A),ld(C,B)))
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [84]
% mult(ld(A,C),ld(mult(A,A),ld(C,B))) <-> mult(ld(A,c),ld(mult(A,A),ld(c,B)))
% Current number of equations to process: 2752
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [85]
% mult(ld(A,c),ld(mult(A,A),ld(c,B))) <-> mult(ld(A,C),ld(mult(A,A),ld(C,B)))
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [86] rd(mult(mult(A,B),mult(mult(A,A),C)),mult(B,C)) -> mult(A,mult(A,A))
% Current number of equations to process: 3025
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [87] rd(mult(rd(mult(A,C),B),mult(A,A)),C) -> rd(mult(A,mult(A,A)),B)
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [88] rd(mult(C,mult(C,C)),B) <-> rd(mult(rd(A,B),mult(C,C)),ld(C,A))
% Current number of equations to process: 3165
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [89] rd(mult(rd(A,B),mult(C,C)),ld(C,A)) <-> rd(mult(C,mult(C,C)),B)
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [90] rd(mult(B,mult(B,B)),ld(A,mult(B,C))) -> rd(mult(A,mult(B,B)),C)
% Current number of equations to process: 3164
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [91] rd(mult(A,mult(B,B)),ld(B,C)) <-> rd(mult(B,mult(B,B)),ld(A,C))
% Current number of equations to process: 3193
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [92] rd(mult(B,mult(B,B)),ld(A,C)) <-> rd(mult(A,mult(B,B)),ld(B,C))
% Current number of equations to process: 3193
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [93] rd(mult(A,mult(B,B)),ld(B,mult(A,C))) -> rd(mult(B,mult(B,B)),C)
% Current number of equations to process: 3238
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [94] rd(mult(mult(A,B),mult(ld(B,C),ld(B,C))),C) -> mult(A,ld(B,C))
% Current number of equations to process: 3453
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [95] rd(mult(mult(A,B),mult(ld(A,C),B)),mult(V_3,B)) <-> mult(rd(C,V_3),B)
% Current number of equations to process: 3509
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [96] mult(rd(C,V_3),B) <-> rd(mult(mult(A,B),mult(ld(A,C),B)),mult(V_3,B))
% Current number of equations to process: 3509
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [97] mult(rd(mult(A,mult(B,B)),mult(C,B)),mult(C,C)) -> mult(A,mult(B,C))
% Rule [37] rd(ld(A,mult(rd(mult(A,mult(C,C)),mult(B,C)),mult(B,B))),B) -> C
% collapsed.
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [98] rd(mult(A,mult(A,A)),mult(A,B)) <-> rd(mult(A,mult(B,A)),mult(B,B))
% Current number of equations to process: 3773
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [99] rd(mult(A,mult(B,A)),mult(B,B)) <-> rd(mult(A,mult(A,A)),mult(A,B))
% Current number of equations to process: 3773
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [100] mult(rd(mult(A,mult(B,C)),mult(C,C)),mult(C,B)) -> mult(A,mult(B,B))
% Current number of equations to process: 3862
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [101] rd(rd(mult(mult(A,B),mult(C,B)),mult(V_3,B)),B) -> rd(mult(A,C),V_3)
% Current number of equations to process: 3979
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [102] rd(rd(mult(A,B),mult(ld(C,B),ld(C,B))),C) -> rd(A,ld(C,B))
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [103] mult(rd(A,B),rd(ld(A,mult(C,mult(V_3,B))),B)) -> mult(rd(C,B),V_3)
% Rule [40] mult(rd(A,B),rd(ld(A,mult(C,mult(B,B))),B)) -> C collapsed.
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [104] mult(rd(mult(A,C),B),mult(A,A)) <-> mult(rd(mult(A,mult(A,A)),B),C)
% Current number of equations to process: 4186
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [105] mult(rd(mult(A,mult(A,A)),B),C) <-> mult(rd(mult(A,C),B),mult(A,A))
% Current number of equations to process: 4186
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [106] mult(rd(A,B),mult(C,C)) <-> mult(rd(mult(C,mult(C,C)),B),ld(C,A))
% Current number of equations to process: 4216
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [107] mult(rd(mult(C,mult(C,C)),B),ld(C,A)) <-> mult(rd(A,B),mult(C,C))
% Current number of equations to process: 4216
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [108] rd(mult(A,mult(mult(B,B),ld(B,A))),A) -> mult(rd(A,B),mult(B,B))
% Current number of equations to process: 4494
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [109] ld(A,mult(mult(B,C),mult(ld(B,A),ld(B,A)))) -> mult(C,ld(B,A))
% Current number of equations to process: 4698
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [110] rd(mult(A,mult(mult(B,B),C)),mult(ld(B,A),C)) -> mult(B,mult(B,B))
% Current number of equations to process: 4789
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [111]
% mult(ld(A,c),ld(mult(A,A),ld(c,mult(B,mult(mult(A,A),C))))) ->
% mult(ld(A,B),C)
% Current number of equations to process: 4865
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [112] rd(mult(mult(A,B),mult(mult(A,A),ld(B,C))),C) -> mult(A,mult(A,A))
% Current number of equations to process: 4965
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [113] rd(mult(mult(A,rd(B,C)),mult(mult(A,A),C)),B) -> mult(A,mult(A,A))
% Current number of equations to process: 1841
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [114] mult(A,rd(B,C)) <-> rd(mult(mult(A,mult(A,A)),B),mult(mult(A,A),C))
% Current number of equations to process: 1905
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [115] rd(mult(mult(A,mult(A,A)),B),mult(mult(A,A),C)) <-> mult(A,rd(B,C))
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [116] rd(mult(C,B),C) <-> rd(rd(mult(A,mult(B,ld(C,A))),A),ld(C,A))
% Current number of equations to process: 2055
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [117] rd(rd(mult(A,mult(B,ld(C,A))),A),ld(C,A)) <-> rd(mult(C,B),C)
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [118] ld(ld(A,B),C) -> ld(mult(A,A),ld(B,mult(mult(A,mult(A,A)),C)))
% Rule [67] mult(mult(B,B),ld(ld(B,A),C)) -> ld(A,mult(mult(B,mult(B,B)),C))
% collapsed.
% Current number of equations to process: 2153
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [119]
% mult(mult(A,A),ld(B,mult(ld(A,c),ld(mult(A,A),ld(c,C))))) <-> ld(mult(A,B),C)
% Current number of equations to process: 2212
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [120]
% ld(mult(A,B),C) <-> mult(mult(A,A),ld(B,mult(ld(A,c),ld(mult(A,A),ld(c,C)))))
% Rule [82] ld(mult(A,mult(A,A)),B) <-> mult(C,ld(mult(A,A),ld(mult(A,C),B)))
% collapsed.
% Current number of equations to process: 2212
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [121] rd(mult(ld(A,mult(B,B)),A),ld(A,mult(B,A))) -> ld(A,mult(B,A))
% Current number of equations to process: 2396
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [122]
% ld(mult(A,A),mult(ld(B,mult(rd(mult(B,B),A),mult(A,A))),A)) ->
% ld(A,mult(B,A))
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [123] rd(mult(ld(A,mult(B,A)),ld(A,mult(B,A))),A) <-> ld(A,mult(B,B))
% Current number of equations to process: 2510
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [124] ld(A,mult(B,B)) <-> rd(mult(ld(A,mult(B,A)),ld(A,mult(B,A))),A)
% Current number of equations to process: 2510
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [125]
% ld(A,rd(B,C)) <-> rd(mult(ld(A,c),ld(mult(A,A),ld(c,B))),ld(mult(A,A),C))
% Current number of equations to process: 2624
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [126]
% rd(mult(ld(A,c),ld(mult(A,A),ld(c,B))),ld(mult(A,A),C)) <-> ld(A,rd(B,C))
% Current number of equations to process: 2624
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [127] rd(mult(mult(A,B),C),mult(B,ld(mult(A,A),C))) -> mult(A,mult(A,A))
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [128] rd(mult(A,B),mult(ld(C,A),ld(mult(C,C),B))) -> mult(C,mult(C,C))
% Current number of equations to process: 2846
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [129] rd(A,mult(ld(B,c),ld(mult(B,B),ld(c,A)))) -> mult(B,mult(B,B))
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [130] rd(mult(rd(mult(A,mult(A,A)),B),C),mult(A,A)) -> rd(mult(A,C),B)
% Current number of equations to process: 2962
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [131] rd(mult(A,B),mult(C,C)) <-> rd(mult(C,B),ld(A,mult(C,mult(C,C))))
% Current number of equations to process: 2970
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [132] rd(mult(C,B),ld(A,mult(C,mult(C,C)))) <-> rd(mult(A,B),mult(C,C))
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [133] rd(mult(B,C),mult(ld(A,B),B)) <-> rd(mult(mult(A,B),C),mult(B,B))
% Current number of equations to process: 2984
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [134] rd(mult(mult(A,B),C),mult(B,B)) <-> rd(mult(B,C),mult(ld(A,B),B))
% Current number of equations to process: 2984
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [135] rd(rd(mult(A,mult(B,A)),C),B) <-> rd(rd(mult(A,mult(A,A)),C),A)
% Current number of equations to process: 2985
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [136] rd(rd(mult(A,mult(A,A)),C),A) <-> rd(rd(mult(A,mult(B,A)),C),B)
% Current number of equations to process: 2985
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [137] rd(mult(A,mult(C,A)),B) <-> mult(rd(rd(mult(A,mult(A,A)),B),A),C)
% Current number of equations to process: 2986
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [138] mult(rd(rd(mult(A,mult(A,A)),B),A),C) <-> rd(mult(A,mult(C,A)),B)
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [139] rd(mult(A,mult(B,B)),mult(B,A)) <-> rd(mult(A,mult(A,B)),mult(A,A))
% Current number of equations to process: 3006
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [140] rd(mult(A,mult(A,B)),mult(A,A)) <-> rd(mult(A,mult(B,B)),mult(B,A))
% Current number of equations to process: 3006
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [141] mult(A,B) <-> rd(mult(C,mult(B,C)),mult(ld(A,C),C))
% Current number of equations to process: 3032
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced : [142] rd(mult(C,mult(B,C)),mult(ld(A,C),C)) <-> mult(A,B)
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [143] rd(mult(mult(A,A),B),mult(A,mult(A,A))) -> mult(A,rd(B,mult(A,A)))
% Current number of equations to process: 3096
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [144] rd(A,ld(B,mult(C,mult(C,C)))) <-> rd(mult(B,ld(C,A)),mult(C,C))
% Current number of equations to process: 3103
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [145] rd(mult(B,ld(C,A)),mult(C,C)) <-> rd(A,ld(B,mult(C,mult(C,C))))
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [146] rd(mult(A,B),C) <-> rd(mult(rd(C,C),B),ld(A,C))
% Current number of equations to process: 3165
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced : [147] rd(mult(rd(C,C),B),ld(A,C)) <-> rd(mult(A,B),C)
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [148] rd(rd(mult(A,mult(C,A)),mult(B,A)),C) -> rd(A,B)
% Current number of equations to process: 3424
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [149] rd(A,mult(ld(B,C),C)) <-> rd(mult(mult(B,C),ld(C,A)),mult(C,C))
% Current number of equations to process: 3458
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [150] rd(mult(mult(B,C),ld(C,A)),mult(C,C)) <-> rd(A,mult(ld(B,C),C))
% Current number of equations to process: 3458
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [151] rd(mult(A,mult(V_3,A)),C) <-> mult(rd(rd(mult(A,mult(B,A)),C),B),V_3)
% Rule [137] rd(mult(A,mult(C,A)),B) <-> mult(rd(rd(mult(A,mult(A,A)),B),A),C)
% collapsed.
% Current number of equations to process: 3457
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [152] mult(rd(rd(mult(A,mult(B,A)),C),B),V_3) <-> rd(mult(A,mult(V_3,A)),C)
% Rule [138] mult(rd(rd(mult(A,mult(A,A)),B),A),C) <-> rd(mult(A,mult(C,A)),B)
% collapsed.
% Current number of equations to process: 3457
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [153] ld(A,rd(mult(B,mult(C,B)),mult(ld(A,B),B))) -> C
% Current number of equations to process: 3669
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [154] rd(mult(B,B),mult(ld(A,B),mult(A,A))) -> mult(A,rd(B,mult(A,A)))
% Current number of equations to process: 3848
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [155] rd(mult(rd(mult(A,A),mult(A,A)),B),A) -> rd(mult(A,B),mult(A,A))
% Current number of equations to process: 3881
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [156] mult(B,rd(ld(mult(B,B),A),mult(B,B))) -> rd(A,mult(B,mult(B,B)))
% Current number of equations to process: 3880
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [157] rd(mult(rd(B,B),ld(C,A)),ld(C,B)) -> rd(A,B)
% Current number of equations to process: 4003
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [158] rd(mult(rd(mult(A,B),mult(A,B)),C),B) -> rd(mult(A,C),mult(A,B))
% Rule [155] rd(mult(rd(mult(A,A),mult(A,A)),B),A) -> rd(mult(A,B),mult(A,A))
% collapsed.
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [159] rd(mult(rd(A,A),C),B) <-> rd(mult(rd(A,B),C),A)
% Rule [158] rd(mult(rd(mult(A,B),mult(A,B)),C),B) -> rd(mult(A,C),mult(A,B))
% collapsed.
% Current number of equations to process: 4404
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced : [160] rd(mult(rd(A,B),C),A) <-> rd(mult(rd(A,A),C),B)
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [161] rd(mult(A,mult(C,A)),mult(B,A)) <-> mult(rd(A,B),C)
% Current number of equations to process: 4514
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced : [162] mult(rd(A,B),C) <-> rd(mult(A,mult(C,A)),mult(B,A))
% Current number of equations to process: 4514
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [163] rd(rd(mult(A,mult(B,A)),C),B) <-> rd(rd(mult(A,mult(V_3,A)),C),V_3)
% Rule [135] rd(rd(mult(A,mult(B,A)),C),B) <-> rd(rd(mult(A,mult(A,A)),C),A)
% collapsed.
% Rule [136] rd(rd(mult(A,mult(A,A)),C),A) <-> rd(rd(mult(A,mult(B,A)),C),B)
% collapsed.
% Current number of equations to process: 4534
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [164] mult(rd(ld(A,B),A),C) <-> rd(mult(ld(A,B),mult(C,ld(A,B))),B)
% Current number of equations to process: 4614
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [165] rd(mult(ld(A,B),mult(C,ld(A,B))),B) <-> mult(rd(ld(A,B),A),C)
% Current number of equations to process: 4614
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [166] rd(mult(B,B),ld(A,mult(B,mult(A,A)))) -> rd(mult(A,B),mult(A,A))
% Current number of equations to process: 4822
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [167] rd(ld(mult(A,A),B),mult(A,A)) -> ld(A,rd(B,mult(A,mult(A,A))))
% Rule [156] mult(B,rd(ld(mult(B,B),A),mult(B,B))) -> rd(A,mult(B,mult(B,B)))
% collapsed.
% Current number of equations to process: 4879
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [168] rd(mult(A,mult(B,B)),mult(C,B)) <-> rd(mult(A,mult(B,A)),mult(C,A))
% Current number of equations to process: 1915
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [169] rd(mult(A,mult(B,A)),mult(C,A)) <-> rd(mult(A,mult(B,B)),mult(C,B))
% Current number of equations to process: 1915
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [170] rd(mult(A,mult(B,C)),mult(C,C)) <-> rd(mult(A,mult(B,A)),mult(C,A))
% Current number of equations to process: 1914
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [171] rd(mult(A,mult(B,A)),mult(C,A)) <-> rd(mult(A,mult(B,C)),mult(C,C))
% Current number of equations to process: 1914
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [172] mult(rd(rd(A,A),B),C) <-> rd(mult(rd(A,mult(B,C)),mult(C,C)),A)
% Current number of equations to process: 2004
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [173] rd(mult(rd(A,mult(B,C)),mult(C,C)),A) <-> mult(rd(rd(A,A),B),C)
% Current number of equations to process: 2004
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [174] rd(rd(mult(A,mult(B,B)),mult(A,B)),C) <-> rd(mult(rd(A,C),B),A)
% Current number of equations to process: 2003
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [175] rd(mult(rd(A,C),B),A) <-> rd(rd(mult(A,mult(B,B)),mult(A,B)),C)
% Current number of equations to process: 2003
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [176] rd(mult(rd(A,mult(B,B)),mult(C,B)),A) <-> mult(rd(rd(A,A),B),C)
% Current number of equations to process: 2002
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [177] mult(rd(rd(A,A),B),C) <-> rd(mult(rd(A,mult(B,B)),mult(C,B)),A)
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [178] rd(mult(rd(A,C),B),A) <-> rd(rd(mult(A,mult(B,A)),mult(A,A)),C)
% Current number of equations to process: 2001
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [179] rd(rd(mult(A,mult(B,A)),mult(A,A)),C) <-> rd(mult(rd(A,C),B),A)
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [180] rd(rd(mult(A,mult(B,B)),mult(C,B)),A) <-> rd(mult(rd(A,A),B),C)
% Current number of equations to process: 2000
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [181] rd(mult(rd(A,A),B),C) <-> rd(rd(mult(A,mult(B,B)),mult(C,B)),A)
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [182] rd(rd(mult(A,mult(B,C)),mult(C,C)),A) <-> rd(mult(rd(A,A),B),C)
% Current number of equations to process: 1999
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [183] rd(mult(rd(A,A),B),C) <-> rd(rd(mult(A,mult(B,C)),mult(C,C)),A)
% Current number of equations to process: 1999
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [184] rd(rd(mult(A,mult(B,C)),mult(A,C)),C) <-> rd(mult(rd(A,A),B),C)
% Current number of equations to process: 1998
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [185] rd(mult(rd(A,A),B),C) <-> rd(rd(mult(A,mult(B,C)),mult(A,C)),C)
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [186] rd(rd(mult(A,B),mult(C,B)),A) <-> rd(rd(mult(A,B),mult(A,B)),C)
% Current number of equations to process: 2864
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [187] rd(rd(mult(A,B),mult(A,B)),C) <-> rd(rd(mult(A,B),mult(C,B)),A)
% Current number of equations to process: 2864
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [188] rd(mult(mult(A,A),B),mult(A,B)) -> mult(A,rd(B,B))
% Current number of equations to process: 2940
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [189] rd(rd(A,mult(B,ld(C,A))),C) -> rd(rd(A,A),B)
% Current number of equations to process: 4233
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [190] rd(mult(mult(A,A),ld(A,B)),B) -> mult(A,rd(ld(A,B),ld(A,B)))
% Current number of equations to process: 4642
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [191] mult(rd(mult(A,mult(A,A)),mult(A,B)),mult(B,B)) -> mult(A,mult(B,A))
% Current number of equations to process: 4683
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [192] mult(rd(mult(A,mult(B,B)),mult(B,A)),mult(A,A)) -> mult(A,mult(A,B))
% Current number of equations to process: 4830
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [193] mult(rd(mult(B,mult(B,B)),ld(A,C)),ld(B,C)) -> mult(A,mult(B,B))
% Current number of equations to process: 4984
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [194] rd(A,mult(ld(B,C),ld(mult(B,B),ld(C,A)))) -> mult(B,mult(B,B))
% Rule [129] rd(A,mult(ld(B,c),ld(mult(B,B),ld(c,A)))) -> mult(B,mult(B,B))
% collapsed.
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [195] rd(mult(B,ld(C,A)),ld(C,mult(B,mult(B,B)))) -> rd(A,mult(B,B))
% Current number of equations to process: 2514
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [196] mult(rd(A,B),C) <-> rd(mult(B,mult(C,B)),ld(A,mult(B,mult(B,B))))
% Current number of equations to process: 2576
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [197] rd(mult(B,mult(C,B)),ld(A,mult(B,mult(B,B)))) <-> mult(rd(A,B),C)
% Current number of equations to process: 2576
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [198] rd(mult(B,ld(mult(C,B),A)),mult(ld(C,B),B)) -> rd(A,mult(B,B))
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [199] rd(rd(mult(ld(A,B),mult(B,ld(A,B))),B),B) -> rd(ld(A,B),A)
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [200] rd(rd(mult(ld(A,B),mult(C,ld(A,B))),B),C) -> rd(ld(A,B),A)
% Rule [199] rd(rd(mult(ld(A,B),mult(B,ld(A,B))),B),B) -> rd(ld(A,B),A)
% collapsed.
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [201] rd(rd(mult(A,mult(B,B)),mult(A,B)),ld(C,A)) <-> rd(mult(C,B),A)
% Current number of equations to process: 3119
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [202] rd(mult(C,B),A) <-> rd(rd(mult(A,mult(B,B)),mult(A,B)),ld(C,A))
% Current number of equations to process: 3119
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [203] rd(mult(C,B),A) <-> rd(rd(mult(A,mult(B,A)),mult(A,A)),ld(C,A))
% Current number of equations to process: 3362
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [204] rd(rd(mult(A,mult(B,A)),mult(A,A)),ld(C,A)) <-> rd(mult(C,B),A)
% Current number of equations to process: 3362
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [205] rd(rd(mult(ld(A,B),B),mult(C,ld(A,B))),A) -> rd(ld(A,B),C)
% Current number of equations to process: 3569
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [206]
% rd(mult(V_3,mult(C,V_3)),ld(A,mult(V_3,mult(B,V_3)))) <-> mult(rd(A,B),C)
% Rule [197] rd(mult(B,mult(C,B)),ld(A,mult(B,mult(B,B)))) <-> mult(rd(A,B),C)
% collapsed.
% Current number of equations to process: 3637
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [207]
% mult(rd(A,B),C) <-> rd(mult(V_3,mult(C,V_3)),ld(A,mult(V_3,mult(B,V_3))))
% Rule [196] mult(rd(A,B),C) <-> rd(mult(B,mult(C,B)),ld(A,mult(B,mult(B,B))))
% collapsed.
% Current number of equations to process: 3637
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [208] rd(rd(mult(rd(A,mult(B,C)),mult(C,C)),A),C) -> rd(rd(A,A),B)
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [209] rd(rd(mult(rd(A,mult(B,B)),mult(C,B)),A),C) -> rd(rd(A,A),B)
% Current number of equations to process: 4175
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [210] mult(rd(mult(A,mult(B,A)),mult(C,A)),mult(C,B)) -> mult(A,mult(B,B))
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [211] mult(rd(mult(A,mult(B,A)),mult(C,A)),mult(C,C)) -> mult(A,mult(B,C))
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [212]
% mult(mult(mult(A,C),V_3),mult(mult(B,B),V_3)) <->
% mult(mult(mult(A,B),mult(C,B)),mult(V_3,V_3))
% Current number of equations to process: 4798
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [213]
% mult(mult(mult(A,B),mult(C,B)),mult(V_3,V_3)) <->
% mult(mult(mult(A,C),V_3),mult(mult(B,B),V_3))
% Current number of equations to process: 4798
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [214]
% mult(mult(A,B),mult(mult(C,C),mult(V_3,V_3))) <->
% mult(mult(A,mult(C,V_3)),mult(B,mult(C,V_3)))
% Current number of equations to process: 2252
% Current number of ordered equations: 3
% Current number of rules: 188
% New rule produced :
% [215]
% mult(mult(mult(A,B),mult(C,C)),mult(V_3,V_3)) <->
% mult(mult(mult(A,C),V_3),mult(mult(B,C),V_3))
% Current number of equations to process: 2252
% Current number of ordered equations: 2
% Current number of rules: 189
% New rule produced :
% [216]
% mult(mult(mult(A,C),V_3),mult(mult(B,C),V_3)) <->
% mult(mult(mult(A,B),mult(C,C)),mult(V_3,V_3))
% Current number of equations to process: 2252
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [217]
% mult(mult(A,mult(C,V_3)),mult(B,mult(C,V_3))) <->
% mult(mult(A,B),mult(mult(C,C),mult(V_3,V_3)))
% Current number of equations to process: 2252
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [218]
% mult(mult(A,B),mult(mult(A,C),mult(A,C))) <->
% mult(mult(A,mult(A,A)),mult(B,mult(C,C)))
% Current number of equations to process: 3871
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [219]
% mult(mult(A,mult(A,A)),mult(B,mult(C,C))) <->
% mult(mult(A,B),mult(mult(A,C),mult(A,C)))
% Current number of equations to process: 3871
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [220]
% mult(mult(A,B),mult(mult(A,C),mult(A,A))) <->
% mult(mult(A,mult(A,A)),mult(B,mult(C,A)))
% Current number of equations to process: 4440
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [221]
% mult(mult(A,mult(A,A)),mult(B,mult(C,A))) <->
% mult(mult(A,B),mult(mult(A,C),mult(A,A)))
% Current number of equations to process: 4440
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [222]
% mult(mult(A,B),rd(mult(C,C),mult(V_3,V_3))) <->
% mult(mult(A,rd(C,V_3)),mult(B,rd(C,V_3)))
% Current number of equations to process: 4975
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [223]
% mult(mult(A,rd(C,V_3)),mult(B,rd(C,V_3))) <->
% mult(mult(A,B),rd(mult(C,C),mult(V_3,V_3)))
% Current number of equations to process: 4975
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [224]
% mult(mult(A,B),mult(ld(A,rd(C,V_3)),B)) <->
% rd(mult(C,mult(mult(B,B),V_3)),mult(V_3,V_3))
% Current number of equations to process: 2550
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [225]
% rd(mult(C,mult(mult(B,B),V_3)),mult(V_3,V_3)) <->
% mult(mult(A,B),mult(ld(A,rd(C,V_3)),B))
% Current number of equations to process: 2550
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [226]
% ld(A,mult(mult(B,mult(B,B)),mult(ld(mult(B,B),ld(A,mult(mult(B,mult(B,B)),C))),
% ld(mult(B,B),C)))) ->
% mult(ld(mult(B,B),ld(A,mult(mult(B,mult(B,B)),C))),ld(mult(B,B),ld(A,
% mult(
% mult(B,
% mult(B,B)),C))))
% Current number of equations to process: 2934
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [227] rd(mult(mult(A,B),mult(C,B)),mult(ld(V_3,mult(A,C)),B)) -> mult(V_3,B)
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [228] rd(mult(mult(A,B),mult(ld(A,C),B)),mult(ld(V_3,C),B)) -> mult(V_3,B)
% Current number of equations to process: 3361
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [229] rd(mult(A,mult(B,C)),mult(ld(V_3,mult(rd(A,C),B)),C)) -> mult(V_3,C)
% Current number of equations to process: 3450
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [230] rd(B,ld(A,mult(rd(B,B),C))) -> rd(mult(A,B),C)
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [231] mult(mult(A,B),mult(ld(A,mult(rd(B,B),C)),C)) -> mult(B,mult(C,C))
% Current number of equations to process: 3681
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [232] ld(mult(A,B),mult(B,mult(C,C))) -> mult(ld(A,mult(rd(B,B),C)),C)
% Current number of equations to process: 3806
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [233] mult(rd(mult(B,A),C),ld(B,mult(rd(A,A),C))) -> A
% Current number of equations to process: 3826
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [234] rd(mult(mult(rd(rd(A,A),B),C),A),mult(C,B)) -> rd(A,mult(B,B))
% Current number of equations to process: 3957
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [235] rd(A,ld(B,rd(mult(A,mult(C,C)),mult(A,C)))) -> rd(mult(B,A),C)
% Current number of equations to process: 3956
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [236] rd(A,ld(B,rd(mult(A,mult(C,A)),mult(A,A)))) -> rd(mult(B,A),C)
% Current number of equations to process: 3955
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [237] mult(A,ld(B,mult(rd(C,C),ld(A,mult(B,C))))) -> C
% Current number of equations to process: 4221
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [238] mult(mult(A,rd(B,C)),mult(ld(A,rd(B,B)),C)) -> B
% Current number of equations to process: 4320
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [239] rd(mult(A,mult(C,A)),mult(C,C)) <-> rd(mult(A,mult(B,A)),mult(B,C))
% Rule [99] rd(mult(A,mult(B,A)),mult(B,B)) <-> rd(mult(A,mult(A,A)),mult(A,B))
% collapsed.
% Current number of equations to process: 4503
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [240] rd(mult(A,mult(B,A)),mult(B,C)) <-> rd(mult(A,mult(C,A)),mult(C,C))
% Rule [98] rd(mult(A,mult(A,A)),mult(A,B)) <-> rd(mult(A,mult(B,A)),mult(B,B))
% collapsed.
% Current number of equations to process: 4503
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [241] rd(mult(rd(A,mult(B,C)),mult(C,C)),mult(C,B)) -> rd(A,mult(B,B))
% Current number of equations to process: 4524
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [242] mult(mult(A,B),mult(ld(A,rd(C,C)),ld(B,C))) -> C
% Current number of equations to process: 4809
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [243] ld(C,mult(rd(B,B),ld(A,mult(C,B)))) -> ld(A,B)
% Rule [237] mult(A,ld(B,mult(rd(C,C),ld(A,mult(B,C))))) -> C collapsed.
% Current number of equations to process: 4815
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [244] ld(mult(A,rd(B,C)),B) -> mult(ld(A,rd(B,B)),C)
% Current number of equations to process: 4840
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced : [245] rd(A,mult(ld(B,rd(A,A)),C)) -> mult(B,rd(A,C))
% Current number of equations to process: 4839
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [246] rd(mult(C,rd(A,B)),B) <-> rd(rd(A,mult(B,B)),ld(C,rd(A,A)))
% Current number of equations to process: 2382
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [247] rd(rd(A,mult(B,B)),ld(C,rd(A,A))) <-> rd(mult(C,rd(A,B)),B)
% Current number of equations to process: 2382
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [248] rd(mult(A,mult(V_3,A)),mult(V_3,ld(B,C))) <-> rd(mult(A,mult(B,A)),C)
% Current number of equations to process: 2496
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [249] rd(mult(A,mult(B,A)),C) <-> rd(mult(A,mult(V_3,A)),mult(V_3,ld(B,C)))
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [250] rd(mult(A,mult(B,B)),mult(B,C)) <-> rd(mult(A,mult(C,B)),mult(C,C))
% Rule
% [139] rd(mult(A,mult(B,B)),mult(B,A)) <-> rd(mult(A,mult(A,B)),mult(A,A))
% collapsed.
% Current number of equations to process: 2756
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [251] rd(mult(A,mult(C,B)),mult(C,C)) <-> rd(mult(A,mult(B,B)),mult(B,C))
% Rule
% [140] rd(mult(A,mult(A,B)),mult(A,A)) <-> rd(mult(A,mult(B,B)),mult(B,A))
% collapsed.
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [252] rd(mult(mult(A,B),C),mult(B,mult(A,A))) -> mult(A,rd(C,mult(A,A)))
% Rule [143] rd(mult(mult(A,A),B),mult(A,mult(A,A))) -> mult(A,rd(B,mult(A,A)))
% collapsed.
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [253] rd(mult(mult(A,B),B),mult(B,A)) <-> rd(mult(mult(A,A),B),mult(A,A))
% Current number of equations to process: 2865
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [254] rd(mult(mult(A,A),B),mult(A,A)) <-> rd(mult(mult(A,B),B),mult(B,A))
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [255] mult(rd(mult(C,rd(A,B)),B),ld(C,rd(A,A))) -> rd(A,mult(B,B))
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 223
% Rule [125]
% ld(A,rd(B,C)) <->
% rd(mult(ld(A,c),ld(mult(A,A),ld(c,B))),ld(mult(A,A),C)) is composed into 
% [125]
% ld(A,rd(B,C)) <->
% rd(mult(ld(A,c),mult(ld(A,rd(ld(c,B),ld(c,B))),ld(A,ld(c,B)))),mult(ld(A,
% rd(C,C)),
% ld(A,C)))
% Rule [118] ld(ld(A,B),C) -> ld(mult(A,A),ld(B,mult(mult(A,mult(A,A)),C))) is composed into 
% [118]
% ld(ld(A,B),C) ->
% mult(ld(A,rd(ld(B,mult(mult(A,mult(A,A)),C)),ld(B,mult(mult(A,mult(A,A)),C)))),
% ld(A,ld(B,mult(mult(A,mult(A,A)),C))))
% Rule [77]
% mult(mult(A,B),C) <-> mult(mult(A,mult(A,A)),mult(B,ld(mult(A,A),C))) is composed into 
% [77]
% mult(mult(A,B),C) <->
% mult(mult(A,mult(A,A)),mult(B,mult(ld(A,rd(C,C)),ld(A,C))))
% Rule [76] ld(A,rd(mult(mult(A,mult(A,A)),B),C)) <-> rd(B,ld(mult(A,A),C)) is composed into 
% [76]
% ld(A,rd(mult(mult(A,mult(A,A)),B),C)) <-> rd(B,mult(ld(A,rd(C,C)),ld(A,C)))
% Rule [71] rd(mult(mult(A,mult(A,A)),B),C) <-> mult(A,rd(B,ld(mult(A,A),C))) is composed into 
% [71]
% rd(mult(mult(A,mult(A,A)),B),C) <-> mult(A,rd(B,mult(ld(A,rd(C,C)),ld(A,C))))
% New rule produced : [256] ld(mult(A,B),C) -> mult(ld(A,rd(C,C)),ld(B,C))
% Rule [16] ld(mult(A,B),mult(mult(A,C),mult(B,C))) -> mult(C,C) collapsed.
% Rule [27] ld(mult(rd(A,B),C),mult(A,mult(C,B))) -> mult(B,B) collapsed.
% Rule
% [36] ld(mult(A,B),mult(C,mult(V_3,B))) -> mult(ld(A,mult(rd(C,B),V_3)),B)
% collapsed.
% Rule [52] ld(mult(A,B),mult(C,mult(B,ld(A,C)))) -> mult(ld(A,C),ld(A,C))
% collapsed.
% Rule [53] ld(mult(A,A),mult(B,B)) -> mult(ld(A,B),ld(A,B)) collapsed.
% Rule [68] ld(mult(A,B),mult(mult(A,mult(A,A)),C)) -> mult(mult(A,A),ld(B,C))
% collapsed.
% Rule [70] mult(A,rd(B,ld(mult(A,A),C))) <-> rd(mult(mult(A,mult(A,A)),B),C)
% collapsed.
% Rule [75] rd(B,ld(mult(A,A),C)) <-> ld(A,rd(mult(mult(A,mult(A,A)),B),C))
% collapsed.
% Rule
% [78] mult(mult(A,mult(A,A)),mult(B,ld(mult(A,A),C))) <-> mult(mult(A,B),C)
% collapsed.
% Rule
% [81]
% mult(C,ld(mult(A,A),ld(mult(A,C),B))) -> mult(ld(A,c),ld(mult(A,A),ld(c,B)))
% collapsed.
% Rule
% [83]
% mult(c,ld(mult(A,A),ld(mult(A,c),B))) <-> mult(ld(A,C),ld(mult(A,A),ld(C,B)))
% collapsed.
% Rule
% [84]
% mult(ld(A,C),ld(mult(A,A),ld(C,B))) <-> mult(ld(A,c),ld(mult(A,A),ld(c,B)))
% collapsed.
% Rule
% [85]
% mult(ld(A,c),ld(mult(A,A),ld(c,B))) <-> mult(ld(A,C),ld(mult(A,A),ld(C,B)))
% collapsed.
% Rule
% [111]
% mult(ld(A,c),ld(mult(A,A),ld(c,mult(B,mult(mult(A,A),C))))) ->
% mult(ld(A,B),C) collapsed.
% Rule
% [119]
% mult(mult(A,A),ld(B,mult(ld(A,c),ld(mult(A,A),ld(c,C))))) <-> ld(mult(A,B),C)
% collapsed.
% Rule
% [120]
% ld(mult(A,B),C) <-> mult(mult(A,A),ld(B,mult(ld(A,c),ld(mult(A,A),ld(c,C)))))
% collapsed.
% Rule
% [122]
% ld(mult(A,A),mult(ld(B,mult(rd(mult(B,B),A),mult(A,A))),A)) ->
% ld(A,mult(B,A)) collapsed.
% Rule
% [126]
% rd(mult(ld(A,c),ld(mult(A,A),ld(c,B))),ld(mult(A,A),C)) <-> ld(A,rd(B,C))
% collapsed.
% Rule [127] rd(mult(mult(A,B),C),mult(B,ld(mult(A,A),C))) -> mult(A,mult(A,A))
% collapsed.
% Rule [128] rd(mult(A,B),mult(ld(C,A),ld(mult(C,C),B))) -> mult(C,mult(C,C))
% collapsed.
% Rule [167] rd(ld(mult(A,A),B),mult(A,A)) -> ld(A,rd(B,mult(A,mult(A,A))))
% collapsed.
% Rule [194] rd(A,mult(ld(B,C),ld(mult(B,B),ld(C,A)))) -> mult(B,mult(B,B))
% collapsed.
% Rule [198] rd(mult(B,ld(mult(C,B),A)),mult(ld(C,B),B)) -> rd(A,mult(B,B))
% collapsed.
% Rule
% [226]
% ld(A,mult(mult(B,mult(B,B)),mult(ld(mult(B,B),ld(A,mult(mult(B,mult(B,B)),C))),
% ld(mult(B,B),C)))) ->
% mult(ld(mult(B,B),ld(A,mult(mult(B,mult(B,B)),C))),ld(mult(B,B),ld(A,
% mult(
% mult(B,
% mult(B,B)),C))))
% collapsed.
% Rule [232] ld(mult(A,B),mult(B,mult(C,C))) -> mult(ld(A,mult(rd(B,B),C)),C)
% collapsed.
% Rule [244] ld(mult(A,rd(B,C)),B) -> mult(ld(A,rd(B,B)),C) collapsed.
% Current number of equations to process: 2953
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [257] mult(rd(C,C),ld(B,mult(A,C))) -> mult(A,ld(B,C))
% Rule [243] ld(C,mult(rd(B,B),ld(A,mult(C,B)))) -> ld(A,B) collapsed.
% Current number of equations to process: 3127
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [258] rd(mult(A,B),mult(ld(C,A),ld(C,A))) <-> mult(C,rd(B,ld(C,A)))
% Rule [54] rd(mult(A,A),mult(ld(B,A),ld(B,A))) -> mult(B,B) collapsed.
% Current number of equations to process: 3230
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [259] mult(C,rd(B,ld(C,A))) <-> rd(mult(A,B),mult(ld(C,A),ld(C,A)))
% Current number of equations to process: 3230
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [260] rd(mult(A,mult(V_3,A)),mult(V_3,C)) <-> rd(mult(A,mult(B,A)),mult(B,C))
% Rule
% [239] rd(mult(A,mult(C,A)),mult(C,C)) <-> rd(mult(A,mult(B,A)),mult(B,C))
% collapsed.
% Rule
% [240] rd(mult(A,mult(B,A)),mult(B,C)) <-> rd(mult(A,mult(C,A)),mult(C,C))
% collapsed.
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [261] rd(mult(A,B),mult(ld(C,A),mult(C,C))) <-> mult(C,rd(B,mult(C,C)))
% Rule [154] rd(mult(B,B),mult(ld(A,B),mult(A,A))) -> mult(A,rd(B,mult(A,A)))
% collapsed.
% Current number of equations to process: 4097
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [262] mult(C,rd(B,mult(C,C))) <-> rd(mult(A,B),mult(ld(C,A),mult(C,C)))
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [263] rd(mult(rd(mult(A,C),mult(A,A)),B),C) -> rd(mult(A,B),mult(A,A))
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [264] rd(mult(mult(A,B),B),mult(B,A)) <-> rd(mult(A,B),mult(ld(A,A),A))
% Current number of equations to process: 4352
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [265] rd(mult(A,B),mult(ld(A,A),A)) <-> rd(mult(mult(A,B),B),mult(B,A))
% Current number of equations to process: 4352
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [266] rd(A,mult(ld(B,B),B)) <-> rd(mult(A,ld(B,A)),mult(ld(B,A),B))
% Current number of equations to process: 4391
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [267] rd(mult(A,ld(B,A)),mult(ld(B,A),B)) <-> rd(A,mult(ld(B,B),B))
% Current number of equations to process: 4391
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [268] rd(rd(A,mult(C,B)),B) <-> rd(rd(A,mult(B,B)),C)
% Current number of equations to process: 4475
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced : [269] rd(rd(A,mult(B,B)),C) <-> rd(rd(A,mult(C,B)),B)
% Rule [102] rd(rd(mult(A,B),mult(ld(C,B),ld(C,B))),C) -> rd(A,ld(C,B))
% collapsed.
% Current number of equations to process: 4475
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [270] ld(C,ld(A,B)) <-> ld(A,mult(rd(ld(A,B),ld(A,B)),ld(C,B)))
% Current number of equations to process: 4625
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [271] ld(A,mult(rd(ld(A,B),ld(A,B)),ld(C,B))) <-> ld(C,ld(A,B))
% Current number of equations to process: 4625
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [272] mult(rd(mult(A,mult(B,A)),mult(B,C)),mult(C,C)) -> mult(A,mult(C,A))
% Rule
% [191] mult(rd(mult(A,mult(A,A)),mult(A,B)),mult(B,B)) -> mult(A,mult(B,A))
% collapsed.
% Current number of equations to process: 4624
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [273] rd(mult(mult(ld(A,B),B),B),mult(B,ld(A,B))) -> mult(ld(A,B),A)
% Current number of equations to process: 4623
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [274] rd(mult(A,ld(B,C)),ld(B,mult(A,C))) -> rd(C,C)
% Current number of equations to process: 4855
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [275] mult(B,mult(ld(C,mult(A,B)),B)) -> mult(mult(A,B),mult(ld(C,B),B))
% Current number of equations to process: 4957
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [276] rd(mult(A,ld(B,C)),ld(V_3,C)) <-> rd(mult(V_3,ld(B,mult(A,C))),C)
% Current number of equations to process: 4956
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [277] rd(mult(V_3,ld(B,mult(A,C))),C) <-> rd(mult(A,ld(B,C)),ld(V_3,C))
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [278] rd(A,ld(B,mult(C,ld(V_3,A)))) <-> rd(mult(B,A),ld(V_3,mult(C,A)))
% Current number of equations to process: 4994
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [279] rd(mult(B,A),ld(V_3,mult(C,A))) <-> rd(A,ld(B,mult(C,ld(V_3,A))))
% Current number of equations to process: 4994
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [280] mult(A,ld(C,ld(A,B))) -> mult(rd(ld(A,B),ld(A,B)),ld(C,B))
% Current number of equations to process: 4993
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [281] rd(mult(rd(C,V_3),ld(B,mult(A,C))),C) -> rd(mult(A,ld(B,C)),V_3)
% Current number of equations to process: 4992
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [282] rd(A,mult(ld(B,C),ld(B,C))) <-> mult(B,rd(ld(C,A),ld(B,C)))
% Current number of equations to process: 1318
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [283] mult(B,rd(ld(C,A),ld(B,C))) <-> rd(A,mult(ld(B,C),ld(B,C)))
% Current number of equations to process: 1318
% Current number of ordered equations: 0
% Current number of rules: 218
% Rule [253]
% rd(mult(mult(A,B),B),mult(B,A)) <-> rd(mult(mult(A,A),B),mult(A,A)) is composed into 
% [253] rd(mult(mult(A,B),B),mult(B,A)) -> mult(A,rd(B,A))
% Rule [149] rd(A,mult(ld(B,C),C)) <-> rd(mult(mult(B,C),ld(C,A)),mult(C,C)) is composed into 
% [149] rd(A,mult(ld(B,C),C)) <-> mult(B,rd(ld(C,A),C))
% Rule [133] rd(mult(B,C),mult(ld(A,B),B)) <-> rd(mult(mult(A,B),C),mult(B,B)) is composed into 
% [133] rd(mult(B,C),mult(ld(A,B),B)) <-> mult(A,rd(C,B))
% New rule produced : [284] rd(mult(mult(A,B),C),mult(B,B)) -> mult(A,rd(C,B))
% Rule [15] rd(mult(mult(A,B),mult(C,B)),mult(B,B)) -> mult(A,C) collapsed.
% Rule [134] rd(mult(mult(A,B),C),mult(B,B)) <-> rd(mult(B,C),mult(ld(A,B),B))
% collapsed.
% Rule [150] rd(mult(mult(B,C),ld(C,A)),mult(C,C)) <-> rd(A,mult(ld(B,C),C))
% collapsed.
% Rule
% [254] rd(mult(mult(A,A),B),mult(A,A)) <-> rd(mult(mult(A,B),B),mult(B,A))
% collapsed.
% Current number of equations to process: 1320
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [285] mult(B,rd(mult(ld(B,A),A),ld(B,A))) -> rd(mult(A,mult(B,A)),A)
% Current number of equations to process: 1440
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [286] rd(mult(C,rd(B,ld(C,A))),C) <-> rd(rd(mult(A,B),A),ld(C,A))
% Current number of equations to process: 1514
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [287] rd(rd(mult(A,B),A),ld(C,A)) <-> rd(mult(C,rd(B,ld(C,A))),C)
% Current number of equations to process: 1514
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [288] rd(A,mult(ld(B,C),mult(B,B))) <-> mult(B,rd(ld(C,A),mult(B,B)))
% Current number of equations to process: 1838
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [289] mult(B,rd(ld(C,A),mult(B,B))) <-> rd(A,mult(ld(B,C),mult(B,B)))
% Current number of equations to process: 1838
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [290] rd(mult(rd(C,mult(A,A)),B),ld(A,C)) -> rd(mult(A,B),mult(A,A))
% Current number of equations to process: 1839
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [291] rd(mult(A,B),mult(A,A)) <-> rd(mult(C,B),ld(A,mult(C,mult(A,A))))
% Current number of equations to process: 1895
% Current number of ordered equations: 1
% Current number of rules: 222
% New rule produced :
% [292] rd(mult(C,B),ld(A,mult(C,mult(A,A)))) <-> rd(mult(A,B),mult(A,A))
% Rule [166] rd(mult(B,B),ld(A,mult(B,mult(A,A)))) -> rd(mult(A,B),mult(A,A))
% collapsed.
% Current number of equations to process: 1895
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [293] rd(mult(mult(A,rd(B,mult(A,A))),C),B) -> mult(A,rd(C,mult(A,A)))
% Current number of equations to process: 1929
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [294] rd(mult(mult(rd(A,A),B),C),mult(B,A)) -> rd(mult(A,C),mult(A,A))
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 224
% Rule [266] rd(A,mult(ld(B,B),B)) <-> rd(mult(A,ld(B,A)),mult(ld(B,A),B)) is composed into 
% [266] rd(A,mult(ld(B,B),B)) <-> mult(B,rd(ld(B,A),B))
% New rule produced :
% [295] rd(mult(B,ld(A,B)),mult(ld(A,B),A)) -> mult(A,rd(ld(A,B),A))
% Rule [267] rd(mult(A,ld(B,A)),mult(ld(B,A),B)) <-> rd(A,mult(ld(B,B),B))
% collapsed.
% Current number of equations to process: 2560
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [296] mult(B,rd(mult(ld(B,A),ld(B,B)),B)) -> rd(mult(A,B),mult(B,B))
% Current number of equations to process: 2585
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [297] rd(mult(A,rd(ld(B,C),B)),B) <-> rd(rd(C,mult(B,B)),ld(A,B))
% Current number of equations to process: 2891
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [298] rd(rd(C,mult(B,B)),ld(A,B)) <-> rd(mult(A,rd(ld(B,C),B)),B)
% Current number of equations to process: 2891
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [299] rd(mult(A,rd(B,C)),C) <-> rd(rd(mult(C,B),mult(C,C)),ld(A,C))
% Current number of equations to process: 2890
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [300] rd(rd(mult(C,B),mult(C,C)),ld(A,C)) <-> rd(mult(A,rd(B,C)),C)
% Current number of equations to process: 2890
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [301] rd(rd(mult(mult(A,A),B),mult(B,B)),A) -> rd(mult(A,rd(B,B)),B)
% Current number of equations to process: 2889
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [302] rd(rd(mult(mult(A,B),B),mult(A,A)),B) -> rd(mult(A,rd(B,A)),A)
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [303] rd(rd(mult(mult(A,A),A),mult(B,A)),A) -> rd(mult(A,rd(A,A)),B)
% Current number of equations to process: 2886
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [304] ld(C,mult(B,A)) <-> rd(ld(A,mult(mult(B,A),mult(ld(C,A),A))),A)
% Current number of equations to process: 2886
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [305] rd(ld(A,mult(mult(B,A),mult(ld(C,A),A))),A) <-> ld(C,mult(B,A))
% Current number of equations to process: 2886
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [306] ld(A,rd(mult(B,C),mult(ld(A,B),ld(A,B)))) -> rd(C,ld(A,B))
% Current number of equations to process: 2885
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [307] ld(A,rd(mult(B,C),mult(ld(A,B),mult(A,A)))) -> rd(C,mult(A,A))
% Current number of equations to process: 2884
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [308] mult(mult(A,B),ld(B,mult(C,mult(ld(A,B),C)))) -> mult(C,mult(B,C))
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced : [309] rd(mult(rd(mult(A,B),C),ld(A,C)),B) -> rd(C,C)
% Current number of equations to process: 3520
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [310] rd(mult(A,B),ld(C,mult(A,mult(C,B)))) -> rd(mult(C,B),mult(C,B))
% Current number of equations to process: 3571
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [311] mult(rd(mult(C,mult(B,B)),A),ld(C,A)) <-> mult(rd(A,A),mult(B,B))
% Current number of equations to process: 3570
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [312] mult(rd(A,A),mult(B,B)) <-> mult(rd(mult(C,mult(B,B)),A),ld(C,A))
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [313] ld(A,mult(mult(B,A),mult(ld(C,A),A))) <-> mult(ld(C,mult(B,A)),A)
% Current number of equations to process: 3727
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [314] mult(ld(C,mult(B,A)),A) <-> ld(A,mult(mult(B,A),mult(ld(C,A),A)))
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [315] rd(mult(A,rd(ld(B,B),ld(A,B))),A) -> rd(rd(B,B),ld(A,B))
% Current number of equations to process: 4810
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [316] ld(A,rd(B,mult(ld(A,C),ld(A,C)))) <-> rd(ld(C,B),ld(A,C))
% Current number of equations to process: 4920
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [317] rd(ld(C,B),ld(A,C)) <-> ld(A,rd(B,mult(ld(A,C),ld(A,C))))
% Current number of equations to process: 4920
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [318] rd(mult(C,rd(ld(B,A),ld(C,B))),C) -> rd(rd(A,B),ld(C,B))
% Rule [315] rd(mult(A,rd(ld(B,B),ld(A,B))),A) -> rd(rd(B,B),ld(A,B))
% collapsed.
% Current number of equations to process: 4919
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [319] rd(mult(A,mult(B,C)),mult(B,B)) <-> mult(rd(A,C),rd(mult(C,C),B))
% Current number of equations to process: 2270
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [320] mult(rd(A,C),rd(mult(C,C),B)) <-> rd(mult(A,mult(B,C)),mult(B,B))
% Current number of equations to process: 2270
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [321] rd(mult(mult(A,B),mult(C,B)),mult(C,C)) -> mult(A,rd(mult(B,B),C))
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [322] rd(mult(mult(A,B),mult(C,C)),mult(C,B)) -> mult(A,rd(mult(B,C),B))
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [323] rd(rd(mult(mult(A,C),B),mult(V_3,C)),C) -> rd(mult(A,rd(B,C)),V_3)
% Rule
% [101] rd(rd(mult(mult(A,B),mult(C,B)),mult(V_3,B)),B) -> rd(mult(A,C),V_3)
% collapsed.
% Rule [303] rd(rd(mult(mult(A,A),A),mult(B,A)),A) -> rd(mult(A,rd(A,A)),B)
% collapsed.
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [324] ld(A,rd(mult(B,mult(A,B)),B)) -> rd(mult(ld(A,B),B),ld(A,B))
% Current number of equations to process: 2334
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [325] ld(A,rd(B,mult(ld(A,C),mult(A,A)))) <-> rd(ld(C,B),mult(A,A))
% Current number of equations to process: 2866
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [326] rd(ld(C,B),mult(A,A)) <-> ld(A,rd(B,mult(ld(A,C),mult(A,A))))
% Current number of equations to process: 2866
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [327] rd(A,ld(B,mult(C,mult(B,B)))) <-> rd(mult(B,ld(C,A)),mult(B,B))
% Current number of equations to process: 3211
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [328] rd(mult(B,ld(C,A)),mult(B,B)) <-> rd(A,ld(B,mult(C,mult(B,B))))
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [329] mult(A,rd(mult(B,ld(A,A)),A)) <-> rd(mult(mult(A,B),A),mult(A,A))
% Current number of equations to process: 3755
% Current number of ordered equations: 2
% Current number of rules: 255
% New rule produced :
% [330] ld(A,rd(mult(B,A),mult(A,A))) -> rd(mult(ld(A,B),ld(A,A)),A)
% Current number of equations to process: 3755
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [331] rd(mult(mult(A,B),A),mult(A,A)) <-> mult(A,rd(mult(B,ld(A,A)),A))
% Current number of equations to process: 3755
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [332] rd(mult(rd(A,A),rd(ld(A,B),A)),C) -> rd(rd(B,mult(A,A)),C)
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [333] rd(mult(rd(A,A),rd(B,A)),C) -> rd(rd(mult(A,B),mult(A,A)),C)
% Rule [332] rd(mult(rd(A,A),rd(ld(A,B),A)),C) -> rd(rd(B,mult(A,A)),C)
% collapsed.
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [334] mult(C,rd(mult(ld(C,rd(A,A)),ld(B,A)),B)) -> rd(A,mult(B,B))
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [335] rd(mult(C,ld(B,A)),ld(B,mult(C,mult(B,B)))) -> rd(A,mult(B,B))
% Current number of equations to process: 4574
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [336] mult(rd(A,A),B) <-> rd(mult(C,mult(B,A)),ld(A,mult(C,mult(A,A))))
% Current number of equations to process: 4573
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [337] rd(mult(C,mult(B,A)),ld(A,mult(C,mult(A,A)))) <-> mult(rd(A,A),B)
% Current number of equations to process: 4573
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [338] rd(mult(B,rd(ld(C,mult(A,mult(C,C))),C)),C) <-> rd(A,ld(B,C))
% Current number of equations to process: 4572
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [339] rd(A,ld(B,C)) <-> rd(mult(B,rd(ld(C,mult(A,mult(C,C))),C)),C)
% Current number of equations to process: 4572
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced : [340] rd(mult(rd(A,B),ld(C,B)),ld(C,A)) -> rd(B,B)
% Current number of equations to process: 1430
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced : [341] rd(rd(mult(A,mult(B,ld(A,A))),A),B) -> rd(A,A)
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced : [342] mult(rd(A,B),rd(ld(A,C),ld(B,C))) -> rd(C,C)
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [343] rd(rd(A,mult(B,B)),rd(ld(B,A),B)) -> rd(B,B)
% Current number of equations to process: 1574
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced : [344] rd(rd(mult(A,B),mult(A,A)),rd(B,A)) -> rd(A,A)
% Current number of equations to process: 1576
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [345] mult(rd(A,B),rd(ld(A,mult(B,C)),C)) -> rd(mult(B,C),mult(B,C))
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [346] mult(A,mult(mult(B,B),A)) <-> mult(mult(C,mult(B,B)),mult(ld(C,A),A))
% Current number of equations to process: 1822
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [347] mult(mult(C,mult(B,B)),mult(ld(C,A),A)) <-> mult(A,mult(mult(B,B),A))
% Current number of equations to process: 1822
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [348] rd(mult(A,mult(mult(B,B),ld(A,A))),A) <-> mult(rd(A,A),mult(B,B))
% Current number of equations to process: 1877
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced :
% [349] mult(rd(A,A),mult(B,B)) <-> rd(mult(A,mult(mult(B,B),ld(A,A))),A)
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [350] rd(mult(ld(A,rd(B,B)),ld(C,B)),C) <-> ld(A,rd(B,mult(C,C)))
% Current number of equations to process: 2798
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [351] ld(A,rd(B,mult(C,C))) <-> rd(mult(ld(A,rd(B,B)),ld(C,B)),C)
% Current number of equations to process: 2798
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [352] mult(rd(A,C),rd(mult(B,B),C)) -> rd(mult(A,mult(B,B)),mult(C,C))
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [353] rd(mult(A,mult(B,A)),mult(B,C)) <-> mult(rd(A,A),rd(mult(A,A),C))
% Current number of equations to process: 3166
% Current number of ordered equations: 1
% Current number of rules: 278
% Rule [353] rd(mult(A,mult(B,A)),mult(B,C)) <-> mult(rd(A,A),rd(mult(A,A),C)) is composed into 
% [353] rd(mult(A,mult(B,A)),mult(B,C)) <-> rd(mult(A,mult(c,A)),mult(c,C))
% New rule produced :
% [354] mult(rd(A,A),rd(mult(A,A),C)) <-> rd(mult(A,mult(B,A)),mult(B,C))
% Current number of equations to process: 3166
% Current number of ordered equations: 0
% Current number of rules: 279
% Rule [319] rd(mult(A,mult(B,C)),mult(B,B)) <-> mult(rd(A,C),rd(mult(C,C),B)) is composed into 
% [319] rd(mult(A,mult(B,C)),mult(B,B)) <-> rd(mult(A,mult(C,C)),mult(C,B))
% New rule produced :
% [355] mult(rd(A,B),rd(mult(B,B),C)) -> rd(mult(A,mult(B,B)),mult(B,C))
% Rule [320] mult(rd(A,C),rd(mult(C,C),B)) <-> rd(mult(A,mult(B,C)),mult(B,B))
% collapsed.
% Rule [354] mult(rd(A,A),rd(mult(A,A),C)) <-> rd(mult(A,mult(B,A)),mult(B,C))
% collapsed.
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [356] mult(A,rd(mult(B,B),C)) <-> rd(mult(mult(A,B),mult(B,B)),mult(B,C))
% Current number of equations to process: 3348
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [357] rd(mult(mult(A,B),mult(B,B)),mult(B,C)) <-> mult(A,rd(mult(B,B),C))
% Current number of equations to process: 3348
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [358] mult(rd(A,C),rd(mult(B,C),B)) -> rd(mult(A,mult(B,C)),mult(C,B))
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [359] rd(mult(mult(A,B),mult(C,B)),mult(B,C)) -> mult(A,rd(mult(C,B),C))
% Current number of equations to process: 3461
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [360] rd(mult(A,rd(mult(C,C),B)),C) <-> rd(mult(A,rd(mult(B,C),B)),B)
% Current number of equations to process: 3543
% Current number of ordered equations: 1
% Current number of rules: 283
% New rule produced :
% [361] rd(mult(A,rd(mult(B,C),B)),B) <-> rd(mult(A,rd(mult(C,C),B)),C)
% Current number of equations to process: 3543
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [362] ld(A,mult(B,rd(A,A))) -> rd(mult(ld(A,mult(B,A)),ld(A,A)),A)
% Current number of equations to process: 4911
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [363] rd(mult(rd(A,B),rd(C,A)),A) -> rd(rd(mult(A,C),mult(A,A)),B)
% Current number of equations to process: 1369
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [364] rd(A,ld(B,mult(mult(C,B),A))) <-> mult(rd(B,B),ld(C,rd(A,A)))
% Current number of equations to process: 2082
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [365] mult(rd(B,B),ld(C,rd(A,A))) <-> rd(A,ld(B,mult(mult(C,B),A)))
% Current number of equations to process: 2082
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced : [366] rd(rd(A,A),rd(ld(B,A),ld(C,A))) -> rd(B,C)
% Current number of equations to process: 2857
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [367] rd(ld(A,B),ld(C,B)) <-> rd(ld(A,mult(rd(B,B),mult(C,C))),C)
% Current number of equations to process: 3417
% Current number of ordered equations: 2
% Current number of rules: 290
% New rule produced :
% [368] mult(rd(A,B),rd(C,ld(B,mult(A,C)))) -> rd(mult(A,C),mult(A,C))
% Current number of equations to process: 3417
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [369] rd(ld(A,mult(rd(B,B),mult(C,C))),C) <-> rd(ld(A,B),ld(C,B))
% Current number of equations to process: 3417
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [370] rd(mult(B,rd(ld(C,A),ld(C,A))),C) <-> rd(rd(A,A),ld(B,C))
% Current number of equations to process: 3416
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [371] rd(rd(A,A),ld(B,C)) <-> rd(mult(B,rd(ld(C,A),ld(C,A))),C)
% Current number of equations to process: 3416
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [372] rd(A,ld(B,rd(C,C))) <-> rd(mult(B,A),rd(ld(A,C),ld(A,C)))
% Current number of equations to process: 3415
% Current number of ordered equations: 1
% Current number of rules: 295
% New rule produced :
% [373] rd(mult(B,A),rd(ld(A,C),ld(A,C))) <-> rd(A,ld(B,rd(C,C)))
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced : [374] mult(rd(A,A),rd(B,B)) -> rd(mult(A,B),mult(A,B))
% Current number of equations to process: 3452
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [375] mult(A,rd(mult(B,B),ld(B,C))) <-> rd(mult(mult(A,B),mult(B,B)),C)
% Current number of equations to process: 2790
% Current number of ordered equations: 1
% Current number of rules: 298
% New rule produced :
% [376] rd(mult(mult(A,B),mult(B,B)),C) <-> mult(A,rd(mult(B,B),ld(B,C)))
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [377] rd(mult(A,mult(B,B)),mult(B,C)) <-> mult(rd(A,C),rd(mult(C,B),C))
% Current number of equations to process: 3460
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [378] mult(rd(A,C),rd(mult(C,B),C)) <-> rd(mult(A,mult(B,B)),mult(B,C))
% Current number of equations to process: 3460
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [379] rd(mult(A,rd(B,B)),C) <-> rd(rd(mult(C,B),mult(C,B)),ld(A,C))
% Current number of equations to process: 1046
% Current number of ordered equations: 1
% Current number of rules: 302
% New rule produced :
% [380] rd(rd(mult(C,B),mult(C,B)),ld(A,C)) <-> rd(mult(A,rd(B,B)),C)
% Current number of equations to process: 1046
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [381] rd(rd(A,A),ld(B,B)) <-> rd(rd(mult(A,ld(B,A)),A),ld(B,A))
% Current number of equations to process: 1085
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced :
% [382] rd(rd(mult(A,ld(B,A)),A),ld(B,A)) <-> rd(rd(A,A),ld(B,B))
% Current number of equations to process: 1085
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [383] rd(B,ld(A,rd(mult(B,C),mult(B,C)))) -> rd(mult(A,B),rd(C,C))
% Current number of equations to process: 1470
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced : [384] rd(rd(mult(A,B),mult(A,B)),rd(B,B)) -> rd(A,A)
% Current number of equations to process: 1596
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [385] rd(mult(rd(A,C),rd(B,B)),A) -> rd(rd(mult(A,B),mult(A,B)),C)
% Current number of equations to process: 1730
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [386] mult(rd(mult(A,B),mult(A,B)),mult(A,A)) -> mult(A,mult(rd(B,B),A))
% Current number of equations to process: 1736
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [387] rd(mult(A,mult(rd(B,B),A)),mult(A,A)) -> rd(mult(A,B),mult(A,B))
% Current number of equations to process: 1735
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [388] rd(mult(B,B),ld(B,C)) <-> ld(A,rd(mult(mult(A,B),mult(B,B)),C))
% Current number of equations to process: 1873
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [389] ld(A,rd(mult(mult(A,B),mult(B,B)),C)) <-> rd(mult(B,B),ld(B,C))
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced : [390] mult(rd(A,B),rd(B,B)) -> rd(mult(A,B),mult(B,B))
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 313
% Rule [377] rd(mult(A,mult(B,B)),mult(B,C)) <-> mult(rd(A,C),rd(mult(C,B),C)) is composed into 
% [377] rd(mult(A,mult(B,B)),mult(B,C)) <-> rd(mult(A,mult(C,B)),mult(C,C))
% New rule produced :
% [391] mult(rd(A,B),rd(mult(B,C),B)) -> rd(mult(A,mult(B,C)),mult(B,B))
% Rule [378] mult(rd(A,C),rd(mult(C,B),C)) <-> rd(mult(A,mult(B,B)),mult(B,C))
% collapsed.
% Current number of equations to process: 2342
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [392] rd(A,rd(mult(ld(A,A),ld(A,A)),A)) -> rd(mult(A,A),rd(A,A))
% Current number of equations to process: 3147
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [393] mult(rd(mult(A,B),mult(A,B)),mult(A,C)) -> mult(A,mult(rd(B,B),C))
% Rule [386] mult(rd(mult(A,B),mult(A,B)),mult(A,A)) -> mult(A,mult(rd(B,B),A))
% collapsed.
% Current number of equations to process: 3717
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced : [394] rd(rd(mult(A,B),mult(B,B)),rd(B,B)) -> rd(A,B)
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [395] rd(mult(A,mult(rd(B,B),A)),mult(B,A)) -> rd(mult(A,B),mult(B,B))
% Current number of equations to process: 4542
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced : [396] mult(rd(A,B),rd(C,B)) -> rd(mult(A,C),mult(B,B))
% Rule [103] mult(rd(A,B),rd(ld(A,mult(C,mult(V_3,B))),B)) -> mult(rd(C,B),V_3)
% collapsed.
% Rule [333] rd(mult(rd(A,A),rd(B,A)),C) -> rd(rd(mult(A,B),mult(A,A)),C)
% collapsed.
% Rule [352] mult(rd(A,C),rd(mult(B,B),C)) -> rd(mult(A,mult(B,B)),mult(C,C))
% collapsed.
% Rule [390] mult(rd(A,B),rd(B,B)) -> rd(mult(A,B),mult(B,B)) collapsed.
% Rule [391] mult(rd(A,B),rd(mult(B,C),B)) -> rd(mult(A,mult(B,C)),mult(B,B))
% collapsed.
% Current number of equations to process: 4571
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [397] mult(A,mult(rd(B,B),ld(A,C))) <-> mult(rd(mult(A,B),mult(A,B)),C)
% Current number of equations to process: 4656
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [398] mult(rd(mult(A,B),mult(A,B)),C) <-> mult(A,mult(rd(B,B),ld(A,C)))
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [399] mult(B,mult(rd(ld(B,A),ld(B,A)),C)) -> mult(rd(A,A),mult(B,C))
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [400] rd(mult(A,mult(rd(B,B),C)),mult(A,C)) -> rd(mult(A,B),mult(A,B))
% Rule [387] rd(mult(A,mult(rd(B,B),A)),mult(A,A)) -> rd(mult(A,B),mult(A,B))
% collapsed.
% Current number of equations to process: 4767
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [401] rd(mult(A,mult(A,A)),mult(A,B)) <-> rd(mult(A,mult(rd(B,B),A)),B)
% Current number of equations to process: 4768
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [402] rd(mult(A,mult(rd(B,B),A)),B) <-> rd(mult(A,mult(A,A)),mult(A,B))
% Current number of equations to process: 4768
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [403] rd(mult(A,mult(rd(A,A),B)),A) -> rd(mult(A,mult(A,B)),mult(A,A))
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [404] rd(ld(A,mult(B,mult(rd(C,C),B))),B) -> rd(ld(A,mult(B,C)),C)
% Current number of equations to process: 2114
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [405] rd(rd(mult(A,B),mult(C,C)),rd(B,C)) -> rd(A,C)
% Rule [344] rd(rd(mult(A,B),mult(A,A)),rd(B,A)) -> rd(A,A) collapsed.
% Rule [394] rd(rd(mult(A,B),mult(B,B)),rd(B,B)) -> rd(A,B) collapsed.
% Current number of equations to process: 2387
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [406] rd(rd(mult(A,B),mult(C,C)),A) <-> rd(mult(rd(A,A),rd(B,C)),C)
% Current number of equations to process: 2791
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [407] rd(mult(rd(A,A),rd(B,C)),C) <-> rd(rd(mult(A,B),mult(C,C)),A)
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [408] rd(mult(A,mult(rd(B,C),A)),mult(C,A)) -> rd(mult(A,B),mult(C,C))
% Rule [395] rd(mult(A,mult(rd(B,B),A)),mult(B,A)) -> rd(mult(A,B),mult(B,B))
% collapsed.
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [409] rd(A,ld(B,rd(mult(A,C),mult(A,A)))) -> rd(mult(B,A),rd(C,A))
% Rule [236] rd(A,ld(B,rd(mult(A,mult(C,A)),mult(A,A)))) -> rd(mult(B,A),C)
% collapsed.
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [410] ld(A,mult(rd(mult(A,B),mult(A,B)),C)) -> mult(rd(B,B),ld(A,C))
% Current number of equations to process: 2894
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [411] rd(mult(A,mult(rd(B,B),ld(A,A))),A) -> rd(mult(A,B),mult(A,B))
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [412] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,C),mult(A,C)),mult(B,C))
% Current number of equations to process: 3006
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [413] mult(rd(mult(A,C),mult(A,C)),mult(B,C)) <-> mult(A,mult(B,ld(A,C)))
% Current number of equations to process: 3006
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [414] rd(mult(A,mult(rd(B,B),ld(A,C))),C) -> rd(mult(A,B),mult(A,B))
% Rule [411] rd(mult(A,mult(rd(B,B),ld(A,A))),A) -> rd(mult(A,B),mult(A,B))
% collapsed.
% Current number of equations to process: 3260
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [415] ld(A,mult(rd(B,B),mult(A,C))) -> mult(rd(ld(A,B),ld(A,B)),C)
% Current number of equations to process: 3508
% Current number of ordered equations: 0
% Current number of rules: 325
% Rule [401] rd(mult(A,mult(A,A)),mult(A,B)) <-> rd(mult(A,mult(rd(B,B),A)),B) is composed into 
% [401] rd(mult(A,mult(A,A)),mult(A,B)) <-> rd(mult(A,mult(c,A)),mult(c,B))
% New rule produced :
% [416] rd(mult(A,mult(rd(B,B),A)),B) -> rd(mult(A,mult(c,A)),mult(c,B))
% Rule [402] rd(mult(A,mult(rd(B,B),A)),B) <-> rd(mult(A,mult(A,A)),mult(A,B))
% collapsed.
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced : [417] rd(rd(A,mult(B,B)),rd(ld(C,A),B)) -> rd(C,B)
% Rule [343] rd(rd(A,mult(B,B)),rd(ld(B,A),B)) -> rd(B,B) collapsed.
% Current number of equations to process: 4355
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [418] rd(rd(mult(A,B),C),rd(B,A)) <-> rd(rd(mult(A,mult(A,A)),C),A)
% Current number of equations to process: 4496
% Current number of ordered equations: 1
% Current number of rules: 326
% Rule [418] rd(rd(mult(A,B),C),rd(B,A)) <-> rd(rd(mult(A,mult(A,A)),C),A) is composed into 
% [418] rd(rd(mult(A,B),C),rd(B,A)) <-> rd(rd(mult(A,c),C),rd(c,A))
% New rule produced :
% [419] rd(rd(mult(A,mult(A,A)),C),A) <-> rd(rd(mult(A,B),C),rd(B,A))
% Current number of equations to process: 4496
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [420] rd(rd(mult(B,mult(C,C)),A),C) <-> rd(rd(A,A),rd(ld(B,A),C))
% Current number of equations to process: 4618
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [421] rd(rd(A,A),rd(ld(B,A),C)) <-> rd(rd(mult(B,mult(C,C)),A),C)
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [422] rd(mult(rd(C,C),rd(ld(C,A),B)),B) <-> rd(rd(A,mult(B,B)),C)
% Current number of equations to process: 4779
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [423] rd(rd(A,mult(B,B)),C) <-> rd(mult(rd(C,C),rd(ld(C,A),B)),B)
% Current number of equations to process: 4779
% Current number of ordered equations: 0
% Current number of rules: 331
% Rule [423] rd(rd(A,mult(B,B)),C) <-> rd(mult(rd(C,C),rd(ld(C,A),B)),B) is composed into 
% [423] rd(rd(A,mult(B,B)),C) <-> rd(rd(mult(C,ld(C,A)),mult(C,B)),B)
% Rule [406] rd(rd(mult(A,B),mult(C,C)),A) <-> rd(mult(rd(A,A),rd(B,C)),C) is composed into 
% [406] rd(rd(mult(A,B),mult(C,C)),A) <-> rd(rd(mult(A,B),mult(A,C)),C)
% New rule produced :
% [424] rd(mult(rd(A,A),rd(B,C)),C) -> rd(rd(mult(A,B),mult(A,C)),C)
% Rule [407] rd(mult(rd(A,A),rd(B,C)),C) <-> rd(rd(mult(A,B),mult(C,C)),A)
% collapsed.
% Rule [422] rd(mult(rd(C,C),rd(ld(C,A),B)),B) <-> rd(rd(A,mult(B,B)),C)
% collapsed.
% Current number of equations to process: 4817
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [425] rd(A,ld(B,rd(C,mult(A,A)))) <-> rd(mult(B,A),rd(ld(A,C),A))
% Current number of equations to process: 2463
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [426] rd(mult(B,A),rd(ld(A,C),A)) <-> rd(A,ld(B,rd(C,mult(A,A))))
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 332
% Rule [367] rd(ld(A,B),ld(C,B)) <-> rd(ld(A,mult(rd(B,B),mult(C,C))),C) is composed into 
% [367] rd(ld(A,B),ld(C,B)) <-> rd(mult(rd(ld(A,B),ld(A,B)),ld(A,mult(C,C))),C)
% Rule [270] ld(C,ld(A,B)) <-> ld(A,mult(rd(ld(A,B),ld(A,B)),ld(C,B))) is composed into 
% [270] ld(C,ld(A,B)) <-> mult(rd(ld(A,ld(A,B)),ld(A,ld(A,B))),ld(A,ld(C,B)))
% New rule produced :
% [427] ld(A,mult(rd(B,B),C)) -> mult(rd(ld(A,B),ld(A,B)),ld(A,C))
% Rule [230] rd(B,ld(A,mult(rd(B,B),C))) -> rd(mult(A,B),C) collapsed.
% Rule [231] mult(mult(A,B),mult(ld(A,mult(rd(B,B),C)),C)) -> mult(B,mult(C,C))
% collapsed.
% Rule [233] mult(rd(mult(B,A),C),ld(B,mult(rd(A,A),C))) -> A collapsed.
% Rule [271] ld(A,mult(rd(ld(A,B),ld(A,B)),ld(C,B))) <-> ld(C,ld(A,B))
% collapsed.
% Rule [369] rd(ld(A,mult(rd(B,B),mult(C,C))),C) <-> rd(ld(A,B),ld(C,B))
% collapsed.
% Rule [410] ld(A,mult(rd(mult(A,B),mult(A,B)),C)) -> mult(rd(B,B),ld(A,C))
% collapsed.
% Rule [415] ld(A,mult(rd(B,B),mult(A,C))) -> mult(rd(ld(A,B),ld(A,B)),C)
% collapsed.
% Current number of equations to process: 2625
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [428] rd(B,mult(rd(ld(A,B),ld(A,B)),ld(A,C))) -> rd(mult(A,B),C)
% Current number of equations to process: 2638
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced : [429] mult(rd(B,A),ld(A,A)) <-> mult(rd(A,A),ld(A,B))
% Current number of equations to process: 2654
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced : [430] mult(rd(A,A),ld(A,B)) <-> mult(rd(B,A),ld(A,A))
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 329
% Rule [349] mult(rd(A,A),mult(B,B)) <-> rd(mult(A,mult(mult(B,B),ld(A,A))),A) is composed into 
% [349] mult(rd(A,A),mult(B,B)) <-> rd(mult(A,mult(mult(B,B),A)),mult(A,A))
% New rule produced :
% [431] rd(mult(A,mult(B,ld(A,A))),A) -> rd(mult(A,mult(B,A)),mult(A,A))
% Rule [341] rd(rd(mult(A,mult(B,ld(A,A))),A),B) -> rd(A,A) collapsed.
% Rule [348] rd(mult(A,mult(mult(B,B),ld(A,A))),A) <-> mult(rd(A,A),mult(B,B))
% collapsed.
% Current number of equations to process: 2693
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [432] rd(mult(A,mult(ld(A,B),B)),mult(A,B)) -> mult(rd(A,A),ld(A,B))
% Current nCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------