TSTP Solution File: GRP749-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP749-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n128.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 300.04s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP749-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n128.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 01:35:08 CDT 2014
% % CPUTime  : 300.04 
% Processing problem /tmp/CiME_29427_n128.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,A),mult(B,C)) = mult(mult(A,B),mult(A,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,b),mult(c,c)) = mult(mult(a,c),mult(b,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,A),mult(B,C)) =
% mult(mult(A,B),mult(A,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,b),mult(c,c)) =
% mult(mult(a,c),mult(b,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(A,C)) <-> mult(mult(A,A),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,A),mult(B,C)) <-> mult(mult(A,B),mult(A,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: 8
% Current number of ordered equations: 14
% 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: 8
% Current number of ordered equations: 13
% Current number of rules: 8
% New rule produced : [9] rd(A,ld(B,A)) -> B
% Current number of equations to process: 8
% Current number of ordered equations: 12
% Current number of rules: 9
% New rule produced : [10] ld(rd(A,B),A) -> B
% Current number of equations to process: 8
% Current number of ordered equations: 11
% Current number of rules: 10
% New rule produced :
% [11] mult(mult(A,B),C) <-> mult(mult(A,A),mult(B,ld(A,C)))
% Current number of equations to process: 8
% Current number of ordered equations: 10
% Current number of rules: 11
% New rule produced :
% [12] mult(mult(A,A),mult(B,ld(A,C))) <-> mult(mult(A,B),C)
% Current number of equations to process: 8
% Current number of ordered equations: 9
% Current number of rules: 12
% New rule produced : [13] mult(mult(B,B),mult(ld(B,A),C)) -> mult(A,mult(B,C))
% Current number of equations to process: 8
% Current number of ordered equations: 8
% Current number of rules: 13
% New rule produced :
% [14] mult(mult(A,A),B) <-> mult(mult(A,C),mult(A,ld(C,B)))
% Current number of equations to process: 8
% Current number of ordered equations: 7
% Current number of rules: 14
% New rule produced :
% [15] mult(mult(A,C),mult(A,ld(C,B))) <-> mult(mult(A,A),B)
% Current number of equations to process: 8
% Current number of ordered equations: 6
% Current number of rules: 15
% New rule produced :
% [16] mult(mult(A,A),B) <-> mult(mult(A,rd(B,C)),mult(A,C))
% Current number of equations to process: 8
% Current number of ordered equations: 5
% Current number of rules: 16
% New rule produced :
% [17] mult(mult(A,rd(B,C)),mult(A,C)) <-> mult(mult(A,A),B)
% Current number of equations to process: 8
% Current number of ordered equations: 4
% Current number of rules: 17
% New rule produced : [18] rd(mult(mult(A,A),mult(B,C)),mult(A,C)) -> mult(A,B)
% Current number of equations to process: 8
% Current number of ordered equations: 3
% Current number of rules: 18
% New rule produced : [19] ld(mult(A,B),mult(mult(A,A),mult(B,C))) -> mult(A,C)
% Current number of equations to process: 8
% Current number of ordered equations: 2
% Current number of rules: 19
% New rule produced : [20] rd(mult(mult(A,B),mult(A,C)),mult(B,C)) -> mult(A,A)
% Current number of equations to process: 8
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced : [21] ld(mult(A,A),mult(mult(A,B),mult(A,C))) -> mult(B,C)
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [22] ld(mult(A,A),mult(mult(A,B),C)) -> mult(B,ld(A,C))
% Rule [21] ld(mult(A,A),mult(mult(A,B),mult(A,C))) -> mult(B,C) collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] mult(C,mult(A,ld(ld(A,C),B))) -> mult(mult(A,A),B)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] ld(mult(A,A),mult(B,mult(A,C))) -> mult(ld(A,B),C)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [25] ld(mult(A,B),mult(mult(A,A),C)) -> mult(A,ld(B,C))
% Rule [19] ld(mult(A,B),mult(mult(A,A),mult(B,C))) -> mult(A,C) collapsed.
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [26] mult(A,rd(B,C)) <-> rd(mult(mult(A,A),B),mult(A,C))
% Current number of equations to process: 121
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced : [27] rd(mult(mult(A,A),B),mult(A,C)) <-> mult(A,rd(B,C))
% Rule [18] rd(mult(mult(A,A),mult(B,C)),mult(A,C)) -> mult(A,B) collapsed.
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [28] rd(mult(mult(A,A),mult(B,ld(A,C))),C) -> mult(A,B)
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [29] rd(mult(mult(A,B),mult(A,ld(B,C))),C) -> mult(A,A)
% Current number of equations to process: 140
% Current number of ordered equations: 2
% Current number of rules: 26
% New rule produced : [30] rd(mult(mult(A,A),B),mult(A,ld(C,B))) -> mult(A,C)
% Current number of equations to process: 139
% Current number of ordered equations: 2
% Current number of rules: 27
% New rule produced : [31] rd(mult(mult(A,rd(B,C)),mult(A,C)),B) -> mult(A,A)
% Current number of equations to process: 138
% Current number of ordered equations: 2
% Current number of rules: 28
% New rule produced : [32] rd(mult(mult(A,B),C),mult(B,ld(A,C))) -> mult(A,A)
% Current number of equations to process: 137
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced : [33] rd(mult(A,mult(B,C)),mult(ld(B,A),C)) -> mult(B,B)
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [34] ld(mult(A,A),mult(B,C)) -> mult(ld(A,B),ld(A,C))
% Rule [22] ld(mult(A,A),mult(mult(A,B),C)) -> mult(B,ld(A,C)) collapsed.
% Rule [24] ld(mult(A,A),mult(B,mult(A,C))) -> mult(ld(A,B),C) collapsed.
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [35] mult(B,ld(ld(B,A),C)) -> ld(A,mult(mult(B,B),C))
% Rule [23] mult(C,mult(A,ld(ld(A,C),B))) -> mult(mult(A,A),B) collapsed.
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [36] mult(C,ld(A,ld(mult(A,C),B))) <-> ld(mult(A,A),B)
% Current number of equations to process: 162
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced : [37] ld(mult(A,A),B) <-> mult(C,ld(A,ld(mult(A,C),B)))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [38] mult(A,ld(B,ld(mult(A,A),C))) <-> ld(mult(A,B),C)
% Current number of equations to process: 167
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced : [39] ld(mult(A,B),C) <-> mult(A,ld(B,ld(mult(A,A),C)))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [40] mult(A,rd(B,ld(A,C))) <-> rd(mult(mult(A,A),B),C)
% Current number of equations to process: 207
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced : [41] rd(mult(mult(A,A),B),C) <-> mult(A,rd(B,ld(A,C)))
% Rule [28] rd(mult(mult(A,A),mult(B,ld(A,C))),C) -> mult(A,B) collapsed.
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [42] mult(B,rd(ld(mult(B,B),A),C)) -> rd(A,mult(B,C))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [43] ld(A,rd(mult(mult(A,A),B),mult(A,C))) -> rd(B,C)
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [44] rd(A,mult(B,ld(C,ld(mult(B,B),A)))) -> mult(B,C)
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [45] rd(A,mult(B,ld(C,ld(mult(C,B),A)))) -> mult(C,C)
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced : [46] rd(mult(A,B),mult(ld(C,A),ld(C,B))) -> mult(C,C)
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [47] rd(A,mult(ld(B,rd(A,mult(B,C))),C)) -> mult(B,B)
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [48] mult(ld(A,C),ld(A,ld(C,B))) <-> ld(mult(A,A),B)
% Current number of equations to process: 328
% Current number of ordered equations: 1
% Current number of rules: 41
% Rule [48] mult(ld(A,C),ld(A,ld(C,B))) <-> ld(mult(A,A),B) is composed into 
% [48] mult(ld(A,C),ld(A,ld(C,B))) <-> mult(ld(A,c),ld(A,ld(c,B)))
% Rule [39] ld(mult(A,B),C) <-> mult(A,ld(B,ld(mult(A,A),C))) is composed into 
% [39] ld(mult(A,B),C) -> mult(A,ld(B,mult(ld(A,c),ld(A,ld(c,C)))))
% Rule [36] mult(C,ld(A,ld(mult(A,C),B))) <-> ld(mult(A,A),B) is composed into 
% [36] mult(C,ld(A,ld(mult(A,C),B))) -> mult(ld(A,c),ld(A,ld(c,B)))
% New rule produced : [49] ld(mult(A,A),B) <-> mult(ld(A,C),ld(A,ld(C,B)))
% Rule [34] ld(mult(A,A),mult(B,C)) -> mult(ld(A,B),ld(A,C)) collapsed.
% Rule [37] ld(mult(A,A),B) <-> mult(C,ld(A,ld(mult(A,C),B))) collapsed.
% Rule [38] mult(A,ld(B,ld(mult(A,A),C))) <-> ld(mult(A,B),C) collapsed.
% Rule [42] mult(B,rd(ld(mult(B,B),A),C)) -> rd(A,mult(B,C)) collapsed.
% Rule [44] rd(A,mult(B,ld(C,ld(mult(B,B),A)))) -> mult(B,C) collapsed.
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [50] mult(ld(A,rd(B,C)),ld(A,C)) <-> mult(ld(A,c),ld(A,ld(c,B)))
% Current number of equations to process: 338
% Current number of ordered equations: 1
% Current number of rules: 38
% Rule [50] mult(ld(A,rd(B,C)),ld(A,C)) <-> mult(ld(A,c),ld(A,ld(c,B))) is composed into 
% [50] mult(ld(A,rd(B,C)),ld(A,C)) <-> mult(ld(A,rd(B,c)),ld(A,c))
% Rule [48] mult(ld(A,C),ld(A,ld(C,B))) <-> mult(ld(A,c),ld(A,ld(c,B))) is composed into 
% [48] mult(ld(A,C),ld(A,ld(C,B))) -> mult(ld(A,rd(B,c)),ld(A,c))
% Rule [39] ld(mult(A,B),C) -> mult(A,ld(B,mult(ld(A,c),ld(A,ld(c,C))))) is composed into 
% [39] ld(mult(A,B),C) -> mult(A,ld(B,mult(ld(A,rd(C,C)),ld(A,C))))
% Rule [36] mult(C,ld(A,ld(mult(A,C),B))) -> mult(ld(A,c),ld(A,ld(c,B))) is composed into 
% [36] mult(C,ld(A,ld(mult(A,C),B))) -> mult(ld(A,rd(B,c)),ld(A,c))
% New rule produced :
% [51] mult(ld(A,c),ld(A,ld(c,B))) <-> mult(ld(A,rd(B,C)),ld(A,C))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [52] ld(ld(A,B),C) -> ld(A,ld(B,mult(mult(A,A),C)))
% Rule [35] mult(B,ld(ld(B,A),C)) -> ld(A,mult(mult(B,B),C)) collapsed.
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [53] ld(A,rd(mult(mult(A,A),B),C)) -> rd(B,ld(A,C))
% Rule [43] ld(A,rd(mult(mult(A,A),B),mult(A,C))) -> rd(B,C) collapsed.
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [54] rd(A,mult(ld(B,rd(A,c)),ld(B,c))) -> mult(B,B)
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [55] rd(A,mult(ld(B,rd(A,C)),ld(B,C))) -> mult(B,B)
% Rule [54] rd(A,mult(ld(B,rd(A,c)),ld(B,c))) -> mult(B,B) collapsed.
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [56] rd(A,ld(B,ld(C,mult(mult(B,B),A)))) -> ld(B,C)
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [57] mult(A,mult(rd(A,B),ld(B,C))) <-> mult(mult(rd(A,B),rd(A,B)),C)
% Current number of equations to process: 619
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [58] mult(mult(rd(A,B),rd(A,B)),C) <-> mult(A,mult(rd(A,B),ld(B,C)))
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [59] mult(mult(A,B),mult(A,ld(B,C))) <-> mult(mult(A,rd(C,V_3)),mult(A,V_3))
% Current number of equations to process: 709
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [60] mult(mult(A,rd(C,V_3)),mult(A,V_3)) <-> mult(mult(A,B),mult(A,ld(B,C)))
% Current number of equations to process: 709
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [61] mult(mult(rd(A,B),rd(A,B)),C) <-> mult(mult(rd(A,B),rd(C,B)),A)
% Current number of equations to process: 805
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [62] mult(mult(rd(A,B),rd(C,B)),A) <-> mult(mult(rd(A,B),rd(A,B)),C)
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [63]
% mult(A,ld(B,mult(ld(A,rd(mult(mult(A,C),V_3),c)),ld(A,c)))) ->
% mult(A,ld(B,mult(C,ld(A,V_3))))
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [64]
% mult(A,ld(B,mult(ld(A,rd(mult(C,mult(A,V_3)),c)),ld(A,c)))) ->
% mult(A,ld(B,mult(ld(A,C),V_3)))
% Current number of equations to process: 962
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [65] rd(rd(mult(mult(A,A),B),mult(A,C)),rd(B,C)) -> A
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [66] rd(mult(mult(A,B),C),mult(A,V_3)) <-> mult(A,rd(mult(B,ld(A,C)),V_3))
% Current number of equations to process: 1068
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [67] mult(A,rd(mult(B,ld(A,C)),V_3)) <-> rd(mult(mult(A,B),C),mult(A,V_3))
% Current number of equations to process: 1068
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [68] mult(B,rd(mult(ld(B,A),C),V_3)) -> rd(mult(A,mult(B,C)),mult(B,V_3))
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [69] rd(rd(mult(mult(A,A),B),C),rd(B,ld(A,C))) -> A
% Current number of equations to process: 1223
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [70] rd(mult(mult(A,B),mult(A,C)),V_3) <-> mult(A,rd(mult(B,C),ld(A,V_3)))
% Current number of equations to process: 1254
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [71] mult(A,rd(mult(B,C),ld(A,V_3))) <-> rd(mult(mult(A,B),mult(A,C)),V_3)
% Current number of equations to process: 1254
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [72] mult(ld(A,rd(B,B)),ld(A,B)) <-> mult(ld(A,rd(B,mult(A,C))),C)
% Current number of equations to process: 1383
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [73] mult(ld(A,rd(B,mult(A,C))),C) <-> mult(ld(A,rd(B,B)),ld(A,B))
% Current number of equations to process: 1383
% Current number of ordered equations: 0
% Current number of rules: 58
% Rule [72] mult(ld(A,rd(B,B)),ld(A,B)) <-> mult(ld(A,rd(B,mult(A,C))),C) is composed into 
% [72] mult(ld(A,rd(B,B)),ld(A,B)) <-> mult(ld(A,rd(B,c)),ld(A,c))
% New rule produced :
% [74] mult(ld(A,rd(B,mult(A,C))),C) -> mult(ld(A,rd(B,c)),ld(A,c))
% Rule [47] rd(A,mult(ld(B,rd(A,mult(B,C))),C)) -> mult(B,B) collapsed.
% Rule [73] mult(ld(A,rd(B,mult(A,C))),C) <-> mult(ld(A,rd(B,B)),ld(A,B))
% collapsed.
% Current number of equations to process: 1478
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [75] ld(A,rd(mult(mult(A,B),C),V_3)) -> rd(mult(B,ld(A,C)),ld(A,V_3))
% Rule [53] ld(A,rd(mult(mult(A,A),B),C)) -> rd(B,ld(A,C)) collapsed.
% Rule
% [63]
% mult(A,ld(B,mult(ld(A,rd(mult(mult(A,C),V_3),c)),ld(A,c)))) ->
% mult(A,ld(B,mult(C,ld(A,V_3)))) collapsed.
% Current number of equations to process: 1541
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [76] ld(A,rd(mult(B,mult(A,C)),V_3)) -> rd(mult(ld(A,B),C),ld(A,V_3))
% Rule
% [64]
% mult(A,ld(B,mult(ld(A,rd(mult(C,mult(A,V_3)),c)),ld(A,c)))) ->
% mult(A,ld(B,mult(ld(A,C),V_3))) collapsed.
% Current number of equations to process: 1607
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [77] mult(ld(A,rd(B,C)),ld(A,C)) <-> mult(ld(A,rd(B,B)),ld(A,B))
% Current number of equations to process: 1681
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [78] mult(ld(A,rd(B,B)),ld(A,B)) <-> mult(ld(A,rd(B,C)),ld(A,C))
% Rule [72] mult(ld(A,rd(B,B)),ld(A,B)) <-> mult(ld(A,rd(B,c)),ld(A,c))
% collapsed.
% Current number of equations to process: 1681
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [79] mult(mult(A,rd(B,V_3)),mult(A,V_3)) <-> mult(mult(A,rd(B,C)),mult(A,C))
% Current number of equations to process: 1760
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [80] mult(mult(A,B),mult(A,ld(B,C))) <-> mult(mult(A,V_3),mult(A,ld(V_3,C)))
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [81] mult(A,mult(rd(A,B),ld(B,C))) <-> mult(mult(rd(A,B),rd(C,B)),A)
% Current number of equations to process: 1897
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [82] mult(mult(rd(A,B),rd(C,B)),A) <-> mult(A,mult(rd(A,B),ld(B,C)))
% Current number of equations to process: 1897
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [83] mult(mult(rd(A,B),rd(A,B)),mult(C,B)) <-> mult(mult(rd(A,B),C),A)
% Current number of equations to process: 2020
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [84] mult(mult(rd(A,B),C),A) <-> mult(mult(rd(A,B),rd(A,B)),mult(C,B))
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [85] mult(mult(B,mult(B,B)),mult(ld(B,A),C)) -> mult(A,mult(mult(B,B),C))
% Current number of equations to process: 2168
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [86] mult(mult(A,mult(A,A)),B) <-> mult(mult(A,C),mult(mult(A,A),ld(C,B)))
% Current number of equations to process: 2207
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [87] mult(mult(A,C),mult(mult(A,A),ld(C,B))) <-> mult(mult(A,mult(A,A)),B)
% Current number of equations to process: 2207
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [88] mult(mult(A,mult(A,A)),B) <-> mult(mult(A,rd(B,C)),mult(mult(A,A),C))
% Current number of equations to process: 2318
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [89] mult(mult(A,rd(B,C)),mult(mult(A,A),C)) <-> mult(mult(A,mult(A,A)),B)
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [90]
% mult(mult(A,B),mult(A,C)) <-> mult(mult(A,V_3),mult(A,ld(V_3,mult(B,C))))
% Current number of equations to process: 2448
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [91]
% mult(mult(A,V_3),mult(A,ld(V_3,mult(B,C)))) <-> mult(mult(A,B),mult(A,C))
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [92] mult(mult(A,rd(mult(B,C),V_3)),mult(A,V_3)) -> mult(mult(A,B),mult(A,C))
% Current number of equations to process: 2661
% Current number of ordered equations: 0
% Current number of rules: 71
% Rule [84] mult(mult(rd(A,B),C),A) <-> mult(mult(rd(A,B),rd(A,B)),mult(C,B)) is composed into 
% [84]
% mult(mult(rd(A,B),C),A) <->
% mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),mult(C,B))
% Rule [62] mult(mult(rd(A,B),rd(C,B)),A) <-> mult(mult(rd(A,B),rd(A,B)),C) is composed into 
% [62]
% mult(mult(rd(A,B),rd(C,B)),A) ->
% mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C)
% Rule [57] mult(A,mult(rd(A,B),ld(B,C))) <-> mult(mult(rd(A,B),rd(A,B)),C) is composed into 
% [57]
% mult(A,mult(rd(A,B),ld(B,C))) <->
% mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C)
% New rule produced :
% [93] mult(rd(A,B),rd(A,B)) <-> rd(mult(A,mult(rd(A,B),C)),mult(B,C))
% Rule [58] mult(mult(rd(A,B),rd(A,B)),C) <-> mult(A,mult(rd(A,B),ld(B,C)))
% collapsed.
% Rule [61] mult(mult(rd(A,B),rd(A,B)),C) <-> mult(mult(rd(A,B),rd(C,B)),A)
% collapsed.
% Rule [83] mult(mult(rd(A,B),rd(A,B)),mult(C,B)) <-> mult(mult(rd(A,B),C),A)
% collapsed.
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [94]
% rd(mult(A,mult(rd(A,B),c)),mult(B,c)) <->
% rd(mult(A,mult(rd(A,B),C)),mult(B,C))
% Current number of equations to process: 2784
% Current number of ordered equations: 2
% Current number of rules: 70
% New rule produced :
% [95]
% rd(mult(A,mult(rd(A,B),C)),mult(B,C)) <->
% rd(mult(A,mult(rd(A,B),c)),mult(B,c))
% Current number of equations to process: 2784
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [96]
% rd(mult(mult(rd(A,B),C),A),mult(C,B)) ->
% rd(mult(A,mult(rd(A,B),c)),mult(B,c))
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [97] mult(ld(A,rd(mult(B,C),c)),ld(A,c)) -> mult(ld(A,B),ld(A,C))
% Current number of equations to process: 3048
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [98]
% ld(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),mult(A,C)) -> mult(B,ld(rd(A,B),C))
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [99]
% mult(rd(A,B),ld(B,C)) <-> ld(A,mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C))
% Current number of equations to process: 3214
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [100]
% ld(A,mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C)) <-> mult(rd(A,B),ld(B,C))
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [101]
% rd(mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C),A) -> mult(rd(A,B),rd(C,B))
% Current number of equations to process: 3335
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [102] mult(rd(A,B),rd(mult(B,c),B)) -> rd(mult(A,mult(rd(A,B),c)),A)
% Current number of equations to process: 3355
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [103] rd(mult(mult(A,B),mult(A,C)),mult(A,V_3)) <-> mult(A,rd(mult(B,C),V_3))
% Current number of equations to process: 3464
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [104] mult(A,rd(mult(B,C),V_3)) <-> rd(mult(mult(A,B),mult(A,C)),mult(A,V_3))
% Current number of equations to process: 3464
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [105]
% rd(mult(A,mult(rd(A,B),ld(B,C))),C) -> rd(mult(A,mult(rd(A,B),c)),mult(B,c))
% Current number of equations to process: 3735
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [106] rd(mult(A,B),mult(C,ld(rd(A,C),B))) -> rd(mult(A,A),mult(C,C))
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [107] rd(mult(A,B),mult(ld(rd(B,C),A),C)) -> rd(mult(B,B),mult(C,C))
% Current number of equations to process: 3871
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [108] rd(mult(mult(A,B),C),V_3) <-> mult(A,rd(mult(B,ld(A,C)),ld(A,V_3)))
% Current number of equations to process: 3970
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [109] mult(A,rd(mult(B,ld(A,C)),ld(A,V_3))) <-> rd(mult(mult(A,B),C),V_3)
% Current number of equations to process: 3970
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [110] mult(A,rd(C,ld(A,V_3))) <-> rd(mult(mult(A,B),mult(A,ld(B,C))),V_3)
% Current number of equations to process: 4143
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [111] rd(mult(mult(A,B),mult(A,ld(B,C))),V_3) <-> mult(A,rd(C,ld(A,V_3)))
% Current number of equations to process: 4143
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [112] mult(A,rd(B,ld(A,V_3))) <-> rd(mult(mult(A,rd(B,C)),mult(A,C)),V_3)
% Current number of equations to process: 4286
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [113] rd(mult(mult(A,rd(B,C)),mult(A,C)),V_3) <-> mult(A,rd(B,ld(A,V_3)))
% Current number of equations to process: 4286
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [114]
% rd(A,mult(B,ld(rd(C,B),ld(C,A)))) -> rd(mult(C,mult(rd(C,B),C)),mult(B,C))
% Current number of equations to process: 4440
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [115] rd(A,mult(ld(rd(B,C),rd(A,B)),C)) -> rd(mult(B,B),mult(C,C))
% Current number of equations to process: 4492
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [116] ld(rd(mult(A,A),mult(B,B)),C) -> mult(ld(rd(A,B),rd(C,A)),B)
% Current number of equations to process: 4527
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [117] mult(ld(A,rd(mult(c,B),C)),ld(A,C)) -> mult(ld(A,c),ld(A,B))
% Current number of equations to process: 4630
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [118] ld(A,rd(B,mult(A,C))) <-> rd(mult(ld(A,rd(B,B)),ld(A,B)),C)
% Current number of equations to process: 4678
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [119] rd(mult(ld(A,rd(B,B)),ld(A,B)),C) <-> ld(A,rd(B,mult(A,C)))
% Current number of equations to process: 4678
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [120] ld(A,rd(mult(A,B),mult(A,C))) -> rd(mult(ld(A,A),ld(A,B)),C)
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 96
% Rule [119] rd(mult(ld(A,rd(B,B)),ld(A,B)),C) <-> ld(A,rd(B,mult(A,C))) is composed into 
% [119] rd(mult(ld(A,rd(B,B)),ld(A,B)),C) <-> rd(mult(ld(A,rd(B,c)),ld(A,c)),C)
% New rule produced :
% [121] ld(A,rd(B,mult(A,C))) -> rd(mult(ld(A,rd(B,c)),ld(A,c)),C)
% Rule [74] mult(ld(A,rd(B,mult(A,C))),C) -> mult(ld(A,rd(B,c)),ld(A,c))
% collapsed.
% Rule [118] ld(A,rd(B,mult(A,C))) <-> rd(mult(ld(A,rd(B,B)),ld(A,B)),C)
% collapsed.
% Rule [120] ld(A,rd(mult(A,B),mult(A,C))) -> rd(mult(ld(A,A),ld(A,B)),C)
% collapsed.
% Current number of equations to process: 4982
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [122] ld(A,rd(mult(B,C),V_3)) -> rd(mult(ld(A,B),ld(A,C)),ld(A,V_3))
% Rule [75] ld(A,rd(mult(mult(A,B),C),V_3)) -> rd(mult(B,ld(A,C)),ld(A,V_3))
% collapsed.
% Rule [76] ld(A,rd(mult(B,mult(A,C)),V_3)) -> rd(mult(ld(A,B),C),ld(A,V_3))
% collapsed.
% Rule [97] mult(ld(A,rd(mult(B,C),c)),ld(A,c)) -> mult(ld(A,B),ld(A,C))
% collapsed.
% Rule [117] mult(ld(A,rd(mult(c,B),C)),ld(A,C)) -> mult(ld(A,c),ld(A,B))
% collapsed.
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [123]
% mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),mult(B,C)) ->
% mult(A,mult(rd(A,B),C))
% Current number of equations to process: 1190
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [124] mult(rd(A,B),rd(mult(B,C),B)) -> rd(mult(A,mult(rd(A,B),C)),A)
% Rule [102] mult(rd(A,B),rd(mult(B,c),B)) -> rd(mult(A,mult(rd(A,B),c)),A)
% collapsed.
% Current number of equations to process: 1291
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [125] mult(A,mult(rd(A,B),ld(B,mult(C,B)))) <-> mult(mult(rd(A,B),C),A)
% Current number of equations to process: 1425
% Current number of ordered equations: 2
% Current number of rules: 93
% New rule produced :
% [126] mult(mult(rd(A,B),C),A) <-> mult(A,mult(rd(A,B),ld(B,mult(C,B))))
% Current number of equations to process: 1425
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [127] rd(mult(A,mult(rd(A,B),ld(B,C))),A) -> mult(rd(A,B),rd(C,B))
% Current number of equations to process: 1425
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [128] mult(rd(A,B),ld(B,mult(C,B))) <-> ld(A,mult(mult(rd(A,B),C),A))
% Current number of equations to process: 1460
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [129] ld(A,mult(mult(rd(A,B),C),A)) <-> mult(rd(A,B),ld(B,mult(C,B)))
% Current number of equations to process: 1460
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [130] mult(A,ld(B,mult(mult(A,A),ld(A,C)))) -> mult(mult(A,A),ld(B,C))
% Current number of equations to process: 1855
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [131] mult(A,ld(B,mult(mult(A,A),C))) -> mult(mult(A,A),ld(B,mult(A,C)))
% Rule [130] mult(A,ld(B,mult(mult(A,A),ld(A,C)))) -> mult(mult(A,A),ld(B,C))
% collapsed.
% Current number of equations to process: 1874
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [132] mult(mult(A,mult(B,B)),mult(B,C)) -> mult(mult(A,B),mult(mult(B,B),C))
% Current number of equations to process: 1931
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [133] rd(mult(A,mult(rd(A,c),B)),mult(c,B)) -> rd(mult(A,A),mult(c,c))
% Current number of equations to process: 2070
% Current number of ordered equations: 0
% Current number of rules: 100
% Rule [105]
% rd(mult(A,mult(rd(A,B),ld(B,C))),C) ->
% rd(mult(A,mult(rd(A,B),c)),mult(B,c)) is composed into [105]
% rd(mult(A,
% mult(rd(A,B),
% ld(B,C))),C)
% ->
% rd(mult(A,A),
% mult(B,B))
% Rule [99]
% mult(rd(A,B),ld(B,C)) <->
% ld(A,mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C)) is composed into 
% [99] mult(rd(A,B),ld(B,C)) <-> ld(A,mult(rd(mult(A,A),mult(B,B)),C))
% Rule [96]
% rd(mult(mult(rd(A,B),C),A),mult(C,B)) ->
% rd(mult(A,mult(rd(A,B),c)),mult(B,c)) is composed into [96]
% rd(mult(mult(
% rd(A,B),C),A),
% mult(C,B)) ->
% rd(mult(A,A),
% mult(B,B))
% Rule [95]
% rd(mult(A,mult(rd(A,B),C)),mult(B,C)) <->
% rd(mult(A,mult(rd(A,B),c)),mult(B,c)) is composed into [95]
% rd(mult(A,
% mult(rd(A,B),C)),
% mult(B,C)) ->
% rd(mult(A,A),
% mult(B,B))
% Rule [84]
% mult(mult(rd(A,B),C),A) <->
% mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),mult(C,B)) is composed into 
% [84] mult(mult(rd(A,B),C),A) -> mult(rd(mult(A,A),mult(B,B)),mult(C,B))
% Rule [62]
% mult(mult(rd(A,B),rd(C,B)),A) ->
% mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C) is composed into [62]
% mult(
% mult(
% rd(A,B),
% rd(C,B)),A)
% ->
% mult(
% rd(
% mult(A,A),
% mult(B,B)),C)
% Rule [57]
% mult(A,mult(rd(A,B),ld(B,C))) <->
% mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C) is composed into [57]
% mult(A,
% mult(
% rd(A,B),
% ld(B,C)))
% <->
% mult(
% rd(
% mult(A,A),
% mult(B,B)),C)
% New rule produced :
% [134] rd(mult(A,mult(rd(A,B),c)),mult(B,c)) -> rd(mult(A,A),mult(B,B))
% Rule
% [94]
% rd(mult(A,mult(rd(A,B),c)),mult(B,c)) <->
% rd(mult(A,mult(rd(A,B),C)),mult(B,C)) collapsed.
% Rule
% [98]
% ld(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),mult(A,C)) -> mult(B,ld(rd(A,B),C))
% collapsed.
% Rule
% [100]
% ld(A,mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C)) <-> mult(rd(A,B),ld(B,C))
% collapsed.
% Rule
% [101]
% rd(mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),C),A) -> mult(rd(A,B),rd(C,B))
% collapsed.
% Rule
% [123]
% mult(rd(mult(A,mult(rd(A,B),c)),mult(B,c)),mult(B,C)) ->
% mult(A,mult(rd(A,B),C)) collapsed.
% Current number of equations to process: 2134
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [135] rd(mult(rd(mult(A,A),mult(B,B)),C),A) -> mult(rd(A,B),rd(C,B))
% Current number of equations to process: 2132
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [136] mult(rd(mult(A,A),mult(B,B)),mult(B,C)) -> mult(A,mult(rd(A,B),C))
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [137] ld(B,mult(mult(A,A),C)) <-> ld(A,mult(mult(A,A),ld(B,mult(A,C))))
% Rule [25] ld(mult(A,B),mult(mult(A,A),C)) -> mult(A,ld(B,C)) collapsed.
% Current number of equations to process: 2271
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [138] ld(A,mult(mult(A,A),ld(B,mult(A,C)))) <-> ld(B,mult(mult(A,A),C))
% Current number of equations to process: 2271
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [139] ld(B,mult(mult(A,A),ld(A,C))) <-> ld(A,mult(mult(A,A),ld(B,C)))
% Current number of equations to process: 2355
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [140] ld(A,mult(mult(A,A),ld(B,C))) <-> ld(B,mult(mult(A,A),ld(A,C)))
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [141] mult(mult(A,B),mult(mult(B,B),ld(B,C))) <-> mult(mult(A,mult(B,B)),C)
% Current number of equations to process: 2536
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [142] mult(mult(A,mult(B,B)),C) <-> mult(mult(A,B),mult(mult(B,B),ld(B,C)))
% Current number of equations to process: 2536
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [143] mult(A,mult(mult(B,B),ld(B,C))) <-> mult(mult(rd(A,B),mult(B,B)),C)
% Current number of equations to process: 2567
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [144] mult(mult(rd(A,B),mult(B,B)),C) <-> mult(A,mult(mult(B,B),ld(B,C)))
% Current number of equations to process: 2567
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [145] mult(A,ld(B,mult(mult(B,B),ld(A,C)))) -> mult(mult(B,B),ld(B,C))
% Current number of equations to process: 2948
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [146] mult(A,ld(B,mult(mult(B,B),C))) <-> mult(mult(B,B),ld(B,mult(A,C)))
% Current number of equations to process: 2970
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [147] mult(mult(B,B),ld(B,mult(A,C))) <-> mult(A,ld(B,mult(mult(B,B),C)))
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [148] ld(A,mult(mult(A,A),B)) <-> ld(C,mult(mult(A,A),ld(A,mult(C,B))))
% Current number of equations to process: 3253
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [149] ld(C,mult(mult(A,A),ld(A,mult(C,B)))) <-> ld(A,mult(mult(A,A),B))
% Current number of equations to process: 3253
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [150] ld(A,mult(mult(A,A),B)) <-> ld(rd(C,B),mult(mult(A,A),ld(A,C)))
% Current number of equations to process: 3438
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [151] ld(rd(C,B),mult(mult(A,A),ld(A,C))) <-> ld(A,mult(mult(A,A),B))
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [152] mult(mult(B,B),ld(B,C)) <-> ld(A,mult(mult(rd(A,B),mult(B,B)),C))
% Current number of equations to process: 3574
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [153] ld(A,mult(mult(rd(A,B),mult(B,B)),C)) <-> mult(mult(B,B),ld(B,C))
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [154] mult(rd(A,B),mult(B,B)) <-> rd(mult(A,mult(mult(B,B),ld(B,C))),C)
% Current number of equations to process: 3745
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [155] rd(mult(A,mult(mult(B,B),ld(B,C))),C) <-> mult(rd(A,B),mult(B,B))
% Current number of equations to process: 3745
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [156] mult(rd(A,B),ld(C,mult(mult(C,C),B))) <-> mult(mult(C,C),ld(C,A))
% Current number of equations to process: 3900
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [157] mult(mult(C,C),ld(C,A)) <-> mult(rd(A,B),ld(C,mult(mult(C,C),B)))
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [158] mult(rd(A,B),mult(B,B)) <-> rd(mult(A,mult(mult(B,B),C)),mult(B,C))
% Current number of equations to process: 4087
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [159] rd(mult(A,mult(mult(B,B),C)),mult(B,C)) <-> mult(rd(A,B),mult(B,B))
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [160]
% mult(mult(A,B),C) <->
% mult(mult(A,mult(A,A)),mult(B,mult(ld(A,rd(C,C)),ld(A,C))))
% Current number of equations to process: 4276
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [161]
% mult(mult(A,mult(A,A)),mult(B,mult(ld(A,rd(C,C)),ld(A,C)))) <->
% mult(mult(A,B),C)
% Current number of equations to process: 4276
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [162] rd(mult(mult(A,B),mult(mult(A,A),C)),mult(B,C)) -> mult(A,mult(A,A))
% Current number of equations to process: 4563
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [163]
% ld(A,mult(mult(A,A),mult(A,ld(B,mult(ld(A,A),ld(A,C)))))) -> mult(A,ld(B,C))
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [164] mult(A,rd(C,V_3)) <-> rd(mult(mult(A,B),mult(A,ld(B,C))),mult(A,V_3))
% Current number of equations to process: 4778
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [165] rd(mult(mult(A,B),mult(A,ld(B,C))),mult(A,V_3)) <-> mult(A,rd(C,V_3))
% Current number of equations to process: 4778
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [166] mult(A,rd(B,V_3)) <-> rd(mult(mult(A,rd(B,C)),mult(A,C)),mult(A,V_3))
% Current number of equations to process: 2883
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [167] rd(mult(mult(A,rd(B,C)),mult(A,C)),mult(A,V_3)) <-> mult(A,rd(B,V_3))
% Current number of equations to process: 2883
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [168] ld(A,rd(B,C)) <-> rd(mult(ld(A,rd(B,c)),ld(A,c)),ld(A,C))
% Rule [121] ld(A,rd(B,mult(A,C))) -> rd(mult(ld(A,rd(B,c)),ld(A,c)),C)
% collapsed.
% Current number of equations to process: 3155
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [169] rd(mult(ld(A,rd(B,c)),ld(A,c)),ld(A,C)) <-> ld(A,rd(B,C))
% Current number of equations to process: 3155
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [170] rd(mult(B,C),ld(A,mult(ld(B,mult(A,A)),C))) -> ld(A,mult(B,B))
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [171] rd(C,ld(A,mult(ld(B,mult(A,A)),ld(B,C)))) -> ld(A,mult(B,B))
% Current number of equations to process: 3370
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [172] ld(A,rd(B,C)) <-> rd(mult(ld(A,rd(B,B)),ld(A,B)),ld(A,C))
% Current number of equations to process: 3422
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [173] rd(mult(ld(A,rd(B,B)),ld(A,B)),ld(A,C)) <-> ld(A,rd(B,C))
% Current number of equations to process: 3422
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [174] ld(A,rd(B,B)) <-> rd(mult(ld(A,rd(B,C)),ld(A,C)),ld(A,B))
% Current number of equations to process: 3547
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [175] rd(mult(ld(A,rd(B,C)),ld(A,C)),ld(A,B)) <-> ld(A,rd(B,B))
% Current number of equations to process: 3547
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [176] mult(ld(A,rd(B,C)),ld(A,C)) <-> mult(ld(A,rd(B,V_3)),ld(A,V_3))
% Rule [50] mult(ld(A,rd(B,C)),ld(A,C)) <-> mult(ld(A,rd(B,c)),ld(A,c))
% collapsed.
% Rule [77] mult(ld(A,rd(B,C)),ld(A,C)) <-> mult(ld(A,rd(B,B)),ld(A,B))
% collapsed.
% Rule [78] mult(ld(A,rd(B,B)),ld(A,B)) <-> mult(ld(A,rd(B,C)),ld(A,C))
% collapsed.
% Rule
% [119] rd(mult(ld(A,rd(B,B)),ld(A,B)),C) <-> rd(mult(ld(A,rd(B,c)),ld(A,c)),C)
% collapsed.
% Current number of equations to process: 3576
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [177] rd(mult(A,mult(mult(B,B),C)),mult(ld(B,A),C)) -> mult(B,mult(B,B))
% Current number of equations to process: 3717
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [178] rd(mult(mult(A,B),mult(mult(A,A),ld(B,C))),C) -> mult(A,mult(A,A))
% Current number of equations to process: 3821
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [179] rd(mult(mult(A,rd(B,C)),mult(mult(A,A),C)),B) -> mult(A,mult(A,A))
% Current number of equations to process: 3894
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [180] mult(A,rd(B,C)) <-> rd(mult(mult(A,mult(A,A)),B),mult(mult(A,A),C))
% Current number of equations to process: 3991
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [181] rd(mult(mult(A,mult(A,A)),B),mult(mult(A,A),C)) <-> mult(A,rd(B,C))
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [182] ld(A,mult(B,B)) <-> rd(mult(ld(A,mult(B,A)),ld(A,mult(B,C))),C)
% Current number of equations to process: 4204
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [183] rd(mult(ld(A,mult(B,A)),ld(A,mult(B,C))),C) <-> ld(A,mult(B,B))
% Current number of equations to process: 4204
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [184] mult(ld(A,mult(B,B)),C) <-> mult(ld(A,mult(B,A)),ld(A,mult(B,C)))
% Current number of equations to process: 4335
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [185] mult(ld(A,mult(B,A)),ld(A,mult(B,C))) <-> mult(ld(A,mult(B,B)),C)
% Current number of equations to process: 4335
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [186] mult(ld(A,mult(B,B)),ld(B,C)) <-> mult(ld(A,mult(B,A)),ld(A,C))
% Current number of equations to process: 4591
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [187] mult(ld(A,mult(B,A)),ld(A,C)) <-> mult(ld(A,mult(B,B)),ld(B,C))
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [188] mult(ld(A,mult(B,B)),ld(B,mult(A,C))) <-> mult(ld(A,mult(B,A)),C)
% Current number of equations to process: 2251
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [189] mult(ld(A,mult(B,A)),C) <-> mult(ld(A,mult(B,B)),ld(B,mult(A,C)))
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [190] ld(A,mult(B,B)) <-> rd(mult(ld(A,mult(B,A)),ld(A,C)),ld(B,C))
% Current number of equations to process: 2550
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [191] rd(mult(ld(A,mult(B,A)),ld(A,C)),ld(B,C)) <-> ld(A,mult(B,B))
% Current number of equations to process: 2550
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [192] ld(A,rd(B,C)) <-> rd(mult(ld(A,rd(B,V_3)),ld(A,V_3)),ld(A,C))
% Rule [168] ld(A,rd(B,C)) <-> rd(mult(ld(A,rd(B,c)),ld(A,c)),ld(A,C))
% collapsed.
% Rule [172] ld(A,rd(B,C)) <-> rd(mult(ld(A,rd(B,B)),ld(A,B)),ld(A,C))
% collapsed.
% Rule [174] ld(A,rd(B,B)) <-> rd(mult(ld(A,rd(B,C)),ld(A,C)),ld(A,B))
% collapsed.
% Current number of equations to process: 2731
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [193] rd(mult(ld(A,rd(B,V_3)),ld(A,V_3)),ld(A,C)) <-> ld(A,rd(B,C))
% Rule [169] rd(mult(ld(A,rd(B,c)),ld(A,c)),ld(A,C)) <-> ld(A,rd(B,C))
% collapsed.
% Rule [173] rd(mult(ld(A,rd(B,B)),ld(A,B)),ld(A,C)) <-> ld(A,rd(B,C))
% collapsed.
% Rule [175] rd(mult(ld(A,rd(B,C)),ld(A,C)),ld(A,B)) <-> ld(A,rd(B,B))
% collapsed.
% Current number of equations to process: 2731
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [194]
% ld(rd(A,B),ld(A,mult(rd(mult(A,A),mult(B,B)),mult(C,B)))) -> ld(B,mult(C,B))
% Current number of equations to process: 2890
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [195] mult(rd(A,C),ld(C,mult(ld(rd(A,C),B),C))) -> ld(A,mult(B,A))
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [196] ld(rd(A,B),ld(A,mult(C,A))) -> ld(B,mult(ld(rd(A,B),C),B))
% Current number of equations to process: 3029
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [197] ld(rd(A,B),ld(A,C)) -> ld(B,mult(ld(rd(A,B),rd(C,A)),B))
% Rule
% [114]
% rd(A,mult(B,ld(rd(C,B),ld(C,A)))) -> rd(mult(C,mult(rd(C,B),C)),mult(B,C))
% collapsed.
% Rule
% [194]
% ld(rd(A,B),ld(A,mult(rd(mult(A,A),mult(B,B)),mult(C,B)))) -> ld(B,mult(C,B))
% collapsed.
% Rule [196] ld(rd(A,B),ld(A,mult(C,A))) -> ld(B,mult(ld(rd(A,B),C),B))
% collapsed.
% Current number of equations to process: 3181
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [198] rd(mult(mult(A,B),mult(mult(B,B),C)),mult(B,C)) -> mult(A,mult(B,B))
% Current number of equations to process: 3251
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [199] mult(mult(rd(A,mult(B,B)),B),mult(mult(B,B),C)) -> mult(A,mult(B,C))
% Current number of equations to process: 3405
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [200] rd(mult(A,mult(B,C)),mult(mult(B,B),C)) <-> mult(rd(A,mult(B,B)),B)
% Current number of equations to process: 3447
% Current number of ordered equations: 1
% Current number of rules: 147
% Rule [200]
% rd(mult(A,mult(B,C)),mult(mult(B,B),C)) <-> mult(rd(A,mult(B,B)),B) is composed into 
% [200]
% rd(mult(A,mult(B,C)),mult(mult(B,B),C)) <->
% rd(mult(A,mult(B,c)),mult(mult(B,B),c))
% New rule produced :
% [201] mult(rd(A,mult(B,B)),B) <-> rd(mult(A,mult(B,C)),mult(mult(B,B),C))
% Rule
% [199] mult(mult(rd(A,mult(B,B)),B),mult(mult(B,B),C)) -> mult(A,mult(B,C))
% collapsed.
% Current number of equations to process: 3448
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [202] rd(mult(mult(A,B),mult(mult(B,B),ld(B,C))),C) -> mult(A,mult(B,B))
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [203] mult(ld(A,B),ld(A,ld(A,mult(mult(A,A),C)))) <-> ld(A,mult(B,C))
% Current number of equations to process: 3804
% Current number of ordered equations: 1
% Current number of rules: 149
% Rule [197] ld(rd(A,B),ld(A,C)) -> ld(B,mult(ld(rd(A,B),rd(C,A)),B)) is composed into 
% [197]
% ld(rd(A,B),ld(A,C)) ->
% mult(ld(B,ld(rd(A,B),rd(C,A))),ld(B,ld(B,mult(mult(B,B),B))))
% New rule produced :
% [204] ld(A,mult(B,C)) <-> mult(ld(A,B),ld(A,ld(A,mult(mult(A,A),C))))
% Rule [195] mult(rd(A,C),ld(C,mult(ld(rd(A,C),B),C))) -> ld(A,mult(B,A))
% collapsed.
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [205] mult(A,ld(B,ld(B,mult(mult(B,B),C)))) <-> ld(B,mult(mult(B,A),C))
% Current number of equations to process: 3858
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [206] ld(B,mult(mult(B,A),C)) <-> mult(A,ld(B,ld(B,mult(mult(B,B),C))))
% Current number of equations to process: 3858
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [207] ld(B,ld(B,mult(mult(B,B),C))) <-> ld(A,ld(B,mult(mult(B,A),C)))
% Current number of equations to process: 4104
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [208] ld(A,ld(B,mult(mult(B,A),C))) <-> ld(B,ld(B,mult(mult(B,B),C)))
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [209] rd(A,ld(B,ld(C,mult(mult(C,B),A)))) -> ld(C,C)
% Current number of equations to process: 4452
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [210] mult(ld(A,A),ld(B,ld(A,mult(mult(A,B),C)))) -> C
% Current number of equations to process: 4458
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [211] mult(A,ld(B,ld(A,mult(mult(A,B),C)))) <-> ld(A,mult(mult(A,A),C))
% Current number of equations to process: 4890
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [212] ld(A,mult(mult(A,A),C)) <-> mult(A,ld(B,ld(A,mult(mult(A,B),C))))
% Current number of equations to process: 4890
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [213] mult(A,ld(B,ld(C,mult(mult(C,B),V_3)))) <-> ld(C,mult(mult(C,A),V_3))
% Rule [205] mult(A,ld(B,ld(B,mult(mult(B,B),C)))) <-> ld(B,mult(mult(B,A),C))
% collapsed.
% Rule [211] mult(A,ld(B,ld(A,mult(mult(A,B),C)))) <-> ld(A,mult(mult(A,A),C))
% collapsed.
% Current number of equations to process: 4890
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [214] rd(A,ld(B,ld(rd(C,B),mult(C,A)))) <-> ld(rd(C,B),rd(C,B))
% Current number of equations to process: 4889
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [215] ld(rd(C,B),rd(C,B)) <-> rd(A,ld(B,ld(rd(C,B),mult(C,A))))
% Current number of equations to process: 4889
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [216] mult(A,ld(B,mult(ld(A,A),ld(A,C)))) -> mult(ld(A,A),ld(B,C))
% Rule
% [163]
% ld(A,mult(mult(A,A),mult(A,ld(B,mult(ld(A,A),ld(A,C)))))) -> mult(A,ld(B,C))
% collapsed.
% Current number of equations to process: 4888
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [217] ld(A,ld(B,mult(mult(B,A),C))) <-> ld(V_3,ld(B,mult(mult(B,V_3),C)))
% Rule [207] ld(B,ld(B,mult(mult(B,B),C))) <-> ld(A,ld(B,mult(mult(B,A),C)))
% collapsed.
% Rule [208] ld(A,ld(B,mult(mult(B,A),C))) <-> ld(B,ld(B,mult(mult(B,B),C)))
% collapsed.
% Current number of equations to process: 4995
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [218] ld(B,mult(mult(B,ld(A,B)),C)) <-> mult(ld(A,mult(B,A)),ld(A,C))
% Current number of equations to process: 1352
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [219] mult(ld(A,mult(B,A)),ld(A,C)) <-> ld(B,mult(mult(B,ld(A,B)),C))
% Current number of equations to process: 1352
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [220] rd(ld(A,B),ld(C,ld(rd(A,C),B))) <-> ld(rd(A,C),rd(A,C))
% Current number of equations to process: 1653
% Current number of ordered equations: 1
% Current number of rules: 160
% Rule [220] rd(ld(A,B),ld(C,ld(rd(A,C),B))) <-> ld(rd(A,C),rd(A,C)) is composed into 
% [220] rd(ld(A,B),ld(C,ld(rd(A,C),B))) <-> rd(ld(A,c),ld(C,ld(rd(A,C),c)))
% Rule [214] rd(A,ld(B,ld(rd(C,B),mult(C,A)))) <-> ld(rd(C,B),rd(C,B)) is composed into 
% [214] rd(A,ld(B,ld(rd(C,B),mult(C,A)))) <-> rd(ld(C,B),ld(B,ld(rd(C,B),B)))
% New rule produced :
% [221] ld(rd(A,C),rd(A,C)) <-> rd(ld(A,B),ld(C,ld(rd(A,C),B)))
% Rule [215] ld(rd(C,B),rd(C,B)) <-> rd(A,ld(B,ld(rd(C,B),mult(C,A))))
% collapsed.
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [222] mult(A,ld(B,mult(ld(A,A),C))) -> mult(ld(A,A),ld(B,mult(A,C)))
% Rule [216] mult(A,ld(B,mult(ld(A,A),ld(A,C)))) -> mult(ld(A,A),ld(B,C))
% collapsed.
% Current number of equations to process: 1709
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [223] ld(B,mult(mult(B,ld(A,B)),C)) <-> mult(ld(A,mult(B,B)),ld(B,C))
% Current number of equations to process: 2150
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [224] mult(ld(A,mult(B,B)),ld(B,C)) <-> ld(B,mult(mult(B,ld(A,B)),C))
% Current number of equations to process: 2150
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [225] mult(A,mult(ld(B,mult(A,B)),ld(B,C))) -> mult(mult(A,ld(B,A)),C)
% Current number of equations to process: 2170
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [226] ld(A,mult(mult(A,B),C)) <-> mult(ld(rd(A,B),mult(A,A)),ld(A,C))
% Current number of equations to process: 2169
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [227] mult(ld(rd(A,B),mult(A,A)),ld(A,C)) <-> ld(A,mult(mult(A,B),C))
% Current number of equations to process: 2169
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [228] ld(B,mult(mult(B,ld(A,B)),mult(A,C))) <-> mult(ld(A,mult(B,A)),C)
% Current number of equations to process: 2168
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [229] mult(ld(A,mult(B,A)),C) <-> ld(B,mult(mult(B,ld(A,B)),mult(A,C)))
% Current number of equations to process: 2168
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [230] ld(B,mult(mult(B,B),mult(ld(A,B),C))) <-> mult(ld(A,mult(B,B)),C)
% Current number of equations to process: 2167
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [231] mult(ld(A,mult(B,B)),C) <-> ld(B,mult(mult(B,B),mult(ld(A,B),C)))
% Current number of equations to process: 2167
% Current number of ordered equations: 0
% Current number of rules: 169
% Rule [220]
% rd(ld(A,B),ld(C,ld(rd(A,C),B))) <-> rd(ld(A,c),ld(C,ld(rd(A,C),c))) is composed into 
% [220] rd(ld(A,B),ld(C,ld(rd(A,C),B))) -> rd(ld(A,A),ld(C,C))
% New rule produced :
% [232] rd(ld(A,c),ld(B,ld(rd(A,B),c))) -> rd(ld(A,A),ld(B,B))
% Current number of equations to process: 2241
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [233] mult(rd(A,B),rd(ld(A,A),ld(B,B))) -> rd(A,B)
% Current number of equations to process: 2289
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [234] rd(rd(A,B),rd(ld(A,A),ld(B,B))) -> rd(A,B)
% Current number of equations to process: 2290
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [235] rd(A,mult(rd(ld(A,A),ld(A,A)),A)) -> rd(mult(A,A),mult(A,A))
% Current number of equations to process: 2343
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [236] ld(B,mult(ld(A,A),C)) <-> ld(A,mult(ld(A,A),ld(B,mult(A,C))))
% Current number of equations to process: 2698
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [237] ld(A,mult(ld(A,A),ld(B,mult(A,C)))) <-> ld(B,mult(ld(A,A),C))
% Current number of equations to process: 2698
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [238] mult(A,mult(ld(B,mult(A,A)),ld(A,C))) -> mult(mult(A,ld(B,A)),C)
% Current number of equations to process: 2697
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [239] mult(A,mult(ld(B,mult(A,B)),C)) -> mult(mult(A,ld(B,A)),mult(B,C))
% Rule [225] mult(A,mult(ld(B,mult(A,B)),ld(B,C))) -> mult(mult(A,ld(B,A)),C)
% collapsed.
% Current number of equations to process: 2739
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [240] ld(A,mult(mult(A,A),mult(B,C))) <-> mult(ld(rd(A,B),mult(A,A)),C)
% Current number of equations to process: 2769
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [241] mult(ld(rd(A,B),mult(A,A)),C) <-> ld(A,mult(mult(A,A),mult(B,C)))
% Current number of equations to process: 2769
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [242] ld(A,mult(mult(A,A),B)) <-> mult(ld(rd(A,C),mult(A,A)),ld(C,B))
% Current number of equations to process: 2893
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [243] mult(ld(rd(A,C),mult(A,A)),ld(C,B)) <-> ld(A,mult(mult(A,A),B))
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [244] ld(A,mult(mult(A,B),mult(A,C))) <-> mult(ld(rd(A,B),mult(A,A)),C)
% Current number of equations to process: 2992
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [245] mult(ld(rd(A,B),mult(A,A)),C) <-> ld(A,mult(mult(A,B),mult(A,C)))
% Current number of equations to process: 2992
% Current number of ordered equations: 0
% Current number of rules: 182
% Rule [244] ld(A,mult(mult(A,B),mult(A,C))) <-> mult(ld(rd(A,B),mult(A,A)),C) is composed into 
% [244]
% ld(A,mult(mult(A,B),mult(A,C))) ->
% mult(rd(ld(A,mult(mult(A,B),c)),ld(A,c)),C)
% Rule [242] ld(A,mult(mult(A,A),B)) <-> mult(ld(rd(A,C),mult(A,A)),ld(C,B)) is composed into 
% [242]
% ld(A,mult(mult(A,A),B)) <-> mult(rd(ld(A,mult(mult(A,C),C)),ld(A,C)),ld(C,B))
% Rule [240] ld(A,mult(mult(A,A),mult(B,C))) <-> mult(ld(rd(A,B),mult(A,A)),C) is composed into 
% [240]
% ld(A,mult(mult(A,A),mult(B,C))) <->
% mult(rd(ld(A,mult(mult(A,B),c)),ld(A,c)),C)
% Rule [226] ld(A,mult(mult(A,B),C)) <-> mult(ld(rd(A,B),mult(A,A)),ld(A,C)) is composed into 
% [226]
% ld(A,mult(mult(A,B),C)) <-> mult(rd(ld(A,mult(mult(A,B),c)),ld(A,c)),ld(A,C))
% New rule produced :
% [246] ld(rd(A,B),mult(A,A)) <-> rd(ld(A,mult(mult(A,B),C)),ld(A,C))
% Rule [227] mult(ld(rd(A,B),mult(A,A)),ld(A,C)) <-> ld(A,mult(mult(A,B),C))
% collapsed.
% Rule [241] mult(ld(rd(A,B),mult(A,A)),C) <-> ld(A,mult(mult(A,A),mult(B,C)))
% collapsed.
% Rule [243] mult(ld(rd(A,C),mult(A,A)),ld(C,B)) <-> ld(A,mult(mult(A,A),B))
% collapsed.
% Rule [245] mult(ld(rd(A,B),mult(A,A)),C) <-> ld(A,mult(mult(A,B),mult(A,C)))
% collapsed.
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [247] ld(B,mult(ld(A,A),ld(A,C))) <-> ld(A,mult(ld(A,A),ld(B,C)))
% Current number of equations to process: 4013
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [248] ld(A,mult(ld(A,A),ld(B,C))) <-> ld(B,mult(ld(A,A),ld(A,C)))
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [249] mult(A,mult(ld(B,mult(A,A)),C)) -> mult(mult(A,A),mult(ld(B,A),C))
% Rule [238] mult(A,mult(ld(B,mult(A,A)),ld(A,C))) -> mult(mult(A,ld(B,A)),C)
% collapsed.
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [250] ld(A,mult(B,mult(A,C))) -> mult(rd(ld(A,mult(B,c)),ld(A,c)),C)
% Rule
% [244]
% ld(A,mult(mult(A,B),mult(A,C))) ->
% mult(rd(ld(A,mult(mult(A,B),c)),ld(A,c)),C) collapsed.
% Current number of equations to process: 4418
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [251] mult(A,ld(B,mult(ld(B,B),ld(A,C)))) -> mult(ld(B,B),ld(B,C))
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [252] ld(A,mult(ld(A,A),B)) <-> ld(C,mult(ld(A,A),ld(A,mult(C,B))))
% Current number of equations to process: 695
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [253] ld(C,mult(ld(A,A),ld(A,mult(C,B)))) <-> ld(A,mult(ld(A,A),B))
% Current number of equations to process: 695
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [254] ld(A,mult(ld(A,A),B)) <-> ld(rd(C,B),mult(ld(A,A),ld(A,C)))
% Current number of equations to process: 694
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [255] ld(rd(C,B),mult(ld(A,A),ld(A,C))) <-> ld(A,mult(ld(A,A),B))
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [256] mult(A,ld(B,mult(ld(B,B),C))) <-> mult(ld(B,B),ld(B,mult(A,C)))
% Current number of equations to process: 945
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [257] mult(ld(B,B),ld(B,mult(A,C))) <-> mult(A,ld(B,mult(ld(B,B),C)))
% Current number of equations to process: 945
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [258] mult(mult(A,C),mult(ld(A,A),ld(C,B))) -> mult(A,B)
% Current number of equations to process: 949
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [259] mult(A,mult(ld(B,B),ld(B,C))) <-> mult(mult(rd(A,B),ld(B,B)),C)
% Current number of equations to process: 961
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [260] mult(mult(rd(A,B),ld(B,B)),C) <-> mult(A,mult(ld(B,B),ld(B,C)))
% Current number of equations to process: 961
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [261] mult(rd(A,B),ld(C,mult(ld(C,C),B))) <-> mult(ld(C,C),ld(C,A))
% Current number of equations to process: 990
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [262] mult(ld(C,C),ld(C,A)) <-> mult(rd(A,B),ld(C,mult(ld(C,C),B)))
% Current number of equations to process: 990
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [263] mult(mult(A,B),mult(ld(B,B),ld(B,C))) <-> mult(mult(A,ld(B,B)),C)
% Current number of equations to process: 989
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [264] mult(mult(A,ld(B,B)),C) <-> mult(mult(A,B),mult(ld(B,B),ld(B,C)))
% Current number of equations to process: 989
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [265] ld(rd(ld(A,mult(mult(A,A),B)),C),B) -> ld(A,mult(ld(A,A),C))
% Current number of equations to process: 1456
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [266] mult(mult(A,B),mult(ld(A,A),C)) -> mult(A,mult(B,C))
% Rule [258] mult(mult(A,C),mult(ld(A,A),ld(C,B))) -> mult(A,B) collapsed.
% Current number of equations to process: 1569
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [267] ld(A,mult(mult(rd(A,B),ld(B,B)),C)) <-> mult(ld(B,B),ld(B,C))
% Current number of equations to process: 2362
% Current number of ordered equations: 2
% Current number of rules: 197
% New rule produced :
% [268] mult(ld(B,B),ld(B,C)) <-> ld(A,mult(mult(rd(A,B),ld(B,B)),C))
% Current number of equations to process: 2362
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [269] mult(mult(rd(A,B),ld(B,B)),mult(B,C)) -> mult(A,mult(ld(B,B),C))
% Current number of equations to process: 2362
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [270] mult(rd(A,B),ld(B,B)) <-> rd(mult(A,mult(ld(B,B),ld(B,C))),C)
% Current number of equations to process: 2361
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [271] rd(mult(A,mult(ld(B,B),ld(B,C))),C) <-> mult(rd(A,B),ld(B,B))
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [272] mult(mult(A,ld(B,B)),mult(B,C)) -> mult(mult(A,B),mult(ld(B,B),C))
% Rule [269] mult(mult(rd(A,B),ld(B,B)),mult(B,C)) -> mult(A,mult(ld(B,B),C))
% collapsed.
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [273] rd(ld(B,mult(mult(B,B),A)),C) <-> rd(A,ld(B,mult(ld(B,B),C)))
% Current number of equations to process: 3067
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [274] rd(A,ld(B,mult(ld(B,B),C))) <-> rd(ld(B,mult(mult(B,B),A)),C)
% Current number of equations to process: 3067
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [275] mult(B,mult(ld(B,A),C)) <-> mult(A,mult(ld(B,B),C))
% Current number of equations to process: 3142
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced : [276] mult(A,mult(ld(B,B),C)) <-> mult(B,mult(ld(B,A),C))
% Current number of equations to process: 3142
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [277] rd(mult(A,mult(B,C)),mult(ld(A,A),C)) -> mult(A,B)
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [278] mult(A,mult(rd(ld(A,A),ld(B,B)),C)) -> mult(rd(A,B),mult(B,C))
% Current number of equations to process: 3248
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [279] mult(A,mult(B,ld(A,C))) <-> mult(mult(rd(mult(A,B),A),ld(A,A)),C)
% Current number of equations to process: 3247
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [280] mult(mult(rd(mult(A,B),A),ld(A,A)),C) <-> mult(A,mult(B,ld(A,C)))
% Current number of equations to process: 3247
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [281] rd(mult(A,B),ld(C,mult(mult(C,C),B))) <-> mult(rd(A,C),ld(C,C))
% Current number of equations to process: 3635
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [282] mult(rd(A,C),ld(C,C)) <-> rd(mult(A,B),ld(C,mult(mult(C,C),B)))
% Current number of equations to process: 3635
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [283] rd(mult(A,mult(ld(B,B),C)),mult(B,C)) <-> mult(rd(A,B),ld(B,B))
% Current number of equations to process: 3715
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [284] mult(rd(A,B),ld(B,B)) <-> rd(mult(A,mult(ld(B,B),C)),mult(B,C))
% Current number of equations to process: 3715
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [285] mult(rd(mult(A,mult(A,A)),A),ld(A,A)) -> mult(rd(A,A),mult(A,A))
% Current number of equations to process: 3714
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [286] rd(mult(A,mult(B,ld(A,C))),C) <-> mult(rd(mult(A,B),A),ld(A,A))
% Current number of equations to process: 3752
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [287] mult(rd(mult(A,B),A),ld(A,A)) <-> rd(mult(A,mult(B,ld(A,C))),C)
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [288] ld(A,mult(B,mult(ld(A,A),C))) -> mult(ld(A,B),C)
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [289] ld(A,mult(B,mult(ld(B,A),C))) <-> mult(ld(B,B),C)
% Current number of equations to process: 4270
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced : [290] mult(ld(B,B),C) <-> ld(A,mult(B,mult(ld(B,A),C)))
% Current number of equations to process: 4270
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced : [291] rd(mult(A,mult(ld(B,B),C)),mult(ld(B,A),C)) -> B
% Current number of equations to process: 4433
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [292] mult(B,mult(ld(B,mult(A,A)),C)) <-> mult(mult(A,ld(B,B)),mult(A,C))
% Current number of equations to process: 4432
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [293] mult(mult(A,ld(B,B)),mult(A,C)) <-> mult(B,mult(ld(B,mult(A,A)),C))
% Current number of equations to process: 4432
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [294] mult(B,mult(ld(B,A),ld(B,C))) <-> mult(mult(rd(A,B),ld(B,B)),C)
% Current number of equations to process: 4431
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [295] mult(mult(rd(A,B),ld(B,B)),C) <-> mult(B,mult(ld(B,A),ld(B,C)))
% Current number of equations to process: 4431
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [296] rd(mult(A,B),mult(ld(A,A),C)) <-> mult(A,rd(B,C))
% Current number of equations to process: 4462
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced : [297] mult(A,rd(B,C)) <-> rd(mult(A,B),mult(ld(A,A),C))
% Current number of equations to process: 4462
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [298] ld(B,mult(mult(B,B),A)) <-> mult(rd(A,ld(B,mult(ld(B,B),C))),C)
% Current number of equations to process: 4604
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [299] mult(rd(A,ld(B,mult(ld(B,B),C))),C) <-> ld(B,mult(mult(B,B),A))
% Current number of equations to process: 4604
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [300] mult(B,mult(ld(B,mult(A,A)),ld(A,C))) <-> mult(mult(A,ld(B,B)),C)
% Current number of equations to process: 4603
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [301] mult(mult(A,ld(B,B)),C) <-> mult(B,mult(ld(B,mult(A,A)),ld(A,C)))
% Current number of equations to process: 4603
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [302] mult(rd(B,A),ld(A,A)) <-> rd(mult(A,mult(ld(A,B),ld(A,C))),C)
% Current number of equations to process: 4602
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [303] rd(mult(A,mult(ld(A,B),ld(A,C))),C) <-> mult(rd(B,A),ld(A,A))
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [304] mult(rd(ld(A,A),ld(B,B)),C) <-> ld(A,mult(rd(A,B),mult(B,C)))
% Current number of equations to process: 4633
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [305] ld(A,mult(rd(A,B),mult(B,C))) <-> mult(rd(ld(A,A),ld(B,B)),C)
% Current number of equations to process: 4633
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [306] mult(A,ld(B,mult(mult(B,ld(A,B)),C))) <-> mult(mult(B,ld(A,A)),C)
% Current number of equations to process: 4886
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [307] mult(mult(B,ld(A,A)),C) <-> mult(A,ld(B,mult(mult(B,ld(A,B)),C)))
% Current number of equations to process: 4886
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [308] mult(rd(mult(A,mult(B,ld(A,C))),C),V_3) <-> mult(A,mult(B,ld(A,V_3)))
% Current number of equations to process: 2855
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [309] mult(A,mult(B,ld(A,V_3))) <-> mult(rd(mult(A,mult(B,ld(A,C))),C),V_3)
% Current number of equations to process: 2855
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [310] mult(rd(rd(A,C),B),ld(B,B)) <-> rd(A,ld(B,mult(mult(B,B),C)))
% Current number of equations to process: 2869
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [311] rd(A,ld(B,mult(mult(B,B),C))) <-> mult(rd(rd(A,C),B),ld(B,B))
% Current number of equations to process: 2869
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [312] rd(mult(A,mult(B,C)),mult(A,C)) <-> mult(rd(mult(A,B),A),ld(A,A))
% Current number of equations to process: 3182
% Current number of ordered equations: 1
% Current number of rules: 241
% Rule [312] rd(mult(A,mult(B,C)),mult(A,C)) <-> mult(rd(mult(A,B),A),ld(A,A)) is composed into 
% [312] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,c)),mult(A,c))
% Rule [286] rd(mult(A,mult(B,ld(A,C))),C) <-> mult(rd(mult(A,B),A),ld(A,A)) is composed into 
% [286] rd(mult(A,mult(B,ld(A,C))),C) -> rd(mult(A,mult(B,c)),mult(A,c))
% Rule [279] mult(A,mult(B,ld(A,C))) <-> mult(mult(rd(mult(A,B),A),ld(A,A)),C) is composed into 
% [279] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,mult(B,c)),mult(A,c)),C)
% New rule produced :
% [313] mult(rd(mult(A,B),A),ld(A,A)) <-> rd(mult(A,mult(B,C)),mult(A,C))
% Rule [280] mult(mult(rd(mult(A,B),A),ld(A,A)),C) <-> mult(A,mult(B,ld(A,C)))
% collapsed.
% Rule [285] mult(rd(mult(A,mult(A,A)),A),ld(A,A)) -> mult(rd(A,A),mult(A,A))
% collapsed.
% Rule [287] mult(rd(mult(A,B),A),ld(A,A)) <-> rd(mult(A,mult(B,ld(A,C))),C)
% collapsed.
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [314] mult(rd(B,A),ld(A,A)) <-> rd(mult(A,mult(ld(A,B),C)),mult(A,C))
% Current number of equations to process: 3194
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [315] rd(mult(A,mult(ld(A,B),C)),mult(A,C)) <-> mult(rd(B,A),ld(A,A))
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [316] ld(B,B) <-> rd(ld(A,mult(B,mult(ld(B,A),C))),C)
% Rule [221] ld(rd(A,C),rd(A,C)) <-> rd(ld(A,B),ld(C,ld(rd(A,C),B))) collapsed.
% Current number of equations to process: 3789
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced : [317] rd(ld(A,mult(B,mult(ld(B,A),C))),C) <-> ld(B,B)
% Current number of equations to process: 3789
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [318] mult(B,mult(ld(A,ld(A,A)),C)) <-> mult(ld(A,A),mult(ld(A,B),C))
% Current number of equations to process: 3913
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [319] mult(ld(A,A),mult(ld(A,B),C)) <-> mult(B,mult(ld(A,ld(A,A)),C))
% Current number of equations to process: 3913
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [320] ld(A,mult(mult(B,ld(A,A)),C)) <-> mult(ld(A,mult(B,B)),ld(B,C))
% Current number of equations to process: 3912
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [321] mult(ld(A,mult(B,B)),ld(B,C)) <-> ld(A,mult(mult(B,ld(A,A)),C))
% Current number of equations to process: 3912
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [322] mult(A,mult(ld(B,ld(A,A)),C)) -> mult(ld(A,A),mult(ld(B,A),C))
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 247
% Rule [321] mult(ld(A,mult(B,B)),ld(B,C)) <-> ld(A,mult(mult(B,ld(A,A)),C)) is composed into 
% [321] mult(ld(A,mult(B,B)),ld(B,C)) <-> mult(ld(A,mult(B,A)),ld(A,C))
% New rule produced :
% [323] ld(A,mult(mult(B,ld(A,A)),C)) -> mult(ld(A,mult(B,A)),ld(A,C))
% Rule [320] ld(A,mult(mult(B,ld(A,A)),C)) <-> mult(ld(A,mult(B,B)),ld(B,C))
% collapsed.
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [324] rd(A,mult(ld(B,B),C)) <-> mult(B,rd(ld(B,A),C))
% Current number of equations to process: 4902
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced : [325] mult(B,rd(ld(B,A),C)) <-> rd(A,mult(ld(B,B),C))
% Current number of equations to process: 4902
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced : [326] rd(rd(mult(A,B),mult(ld(A,A),C)),rd(B,C)) -> A
% Current number of equations to process: 1609
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [327] rd(mult(A,B),mult(ld(A,A),C)) <-> rd(mult(mult(A,A),B),mult(A,C))
% Current number of equations to process: 1608
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [328] rd(mult(mult(A,A),B),mult(A,C)) <-> rd(mult(A,B),mult(ld(A,A),C))
% Current number of equations to process: 1608
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [329] ld(A,mult(ld(A,A),mult(ld(B,A),C))) <-> mult(ld(B,ld(A,A)),C)
% Current number of equations to process: 1612
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [330] mult(ld(B,ld(A,A)),C) <-> ld(A,mult(ld(A,A),mult(ld(B,A),C)))
% Current number of equations to process: 1612
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [331] ld(A,mult(ld(B,B),mult(ld(B,A),C))) <-> mult(ld(B,ld(B,B)),C)
% Current number of equations to process: 1609
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [332] mult(ld(B,ld(B,B)),C) <-> ld(A,mult(ld(B,B),mult(ld(B,A),C)))
% Current number of equations to process: 1609
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [333] mult(A,ld(B,mult(C,mult(ld(C,B),V_3)))) <-> mult(C,mult(ld(C,A),V_3))
% Current number of equations to process: 1605
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced :
% [334] mult(C,mult(ld(C,A),V_3)) <-> mult(A,ld(B,mult(C,mult(ld(C,B),V_3))))
% Current number of equations to process: 1605
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [335] rd(mult(A,B),mult(ld(A,A),ld(A,C))) <-> rd(mult(mult(A,A),B),C)
% Current number of equations to process: 1604
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [336] rd(mult(mult(A,A),B),C) <-> rd(mult(A,B),mult(ld(A,A),ld(A,C)))
% Current number of equations to process: 1604
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [337] rd(ld(A,A),ld(B,B)) <-> rd(ld(A,mult(rd(A,B),mult(B,C))),C)
% Current number of equations to process: 2994
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [338] rd(ld(A,mult(rd(A,B),mult(B,C))),C) <-> rd(ld(A,A),ld(B,B))
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [339] mult(rd(ld(A,A),ld(B,B)),ld(B,C)) <-> ld(A,mult(rd(A,B),C))
% Current number of equations to process: 2993
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [340] ld(A,mult(rd(A,B),C)) <-> mult(rd(ld(A,A),ld(B,B)),ld(B,C))
% Current number of equations to process: 2993
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [341] mult(A,mult(rd(B,ld(A,C)),ld(A,V_3))) <-> mult(rd(mult(A,B),C),V_3)
% Current number of equations to process: 3438
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [342] mult(rd(mult(A,B),C),V_3) <-> mult(A,mult(rd(B,ld(A,C)),ld(A,V_3)))
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [343] mult(A,mult(B,ld(A,V_3))) <-> mult(rd(mult(A,mult(B,C)),mult(A,C)),V_3)
% Rule
% [279] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,mult(B,c)),mult(A,c)),C)
% collapsed.
% Current number of equations to process: 3437
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [344] mult(rd(mult(A,mult(B,C)),mult(A,C)),V_3) <-> mult(A,mult(B,ld(A,V_3)))
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [345] rd(mult(A,B),mult(A,ld(C,B))) -> rd(mult(A,mult(C,c)),mult(A,c))
% Current number of equations to process: 4000
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [346] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,V_3)),mult(A,V_3))
% Rule
% [312] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,c)),mult(A,c))
% collapsed.
% Current number of equations to process: 4237
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [347] rd(mult(A,mult(rd(B,C),c)),mult(A,c)) -> rd(mult(A,B),mult(A,C))
% Current number of equations to process: 4386
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [348] rd(mult(A,mult(rd(B,C),V_3)),mult(A,V_3)) -> rd(mult(A,B),mult(A,C))
% Rule [347] rd(mult(A,mult(rd(B,C),c)),mult(A,c)) -> rd(mult(A,B),mult(A,C))
% collapsed.
% Current number of equations to process: 4385
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced : [349] mult(A,rd(ld(B,mult(A,mult(ld(A,B),C))),C)) -> A
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [350] rd(A,rd(ld(B,mult(A,mult(ld(A,B),C))),C)) -> A
% Current number of equations to process: 4726
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced : [351] rd(rd(A,mult(ld(B,B),C)),rd(ld(B,A),C)) -> B
% Current number of equations to process: 3230
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [352] rd(B,mult(ld(A,A),ld(A,C))) <-> rd(mult(mult(A,A),ld(A,B)),C)
% Current number of equations to process: 3229
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced :
% [353] rd(mult(mult(A,A),ld(A,B)),C) <-> rd(B,mult(ld(A,A),ld(A,C)))
% Current number of equations to process: 3229
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [354] mult(mult(A,B),mult(ld(A,ld(A,A)),C)) <-> mult(ld(A,A),mult(B,C))
% Current number of equations to process: 3756
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [355] mult(ld(A,A),mult(B,C)) <-> mult(mult(A,B),mult(ld(A,ld(A,A)),C))
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [356] mult(ld(A,A),rd(B,C)) <-> rd(mult(mult(ld(A,A),A),B),mult(A,C))
% Current number of equations to process: 3755
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [357] rd(mult(mult(ld(A,A),A),B),mult(A,C)) <-> mult(ld(A,A),rd(B,C))
% Current number of equations to process: 3755
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [358] rd(A,ld(B,mult(C,mult(ld(C,B),V_3)))) <-> mult(C,rd(ld(C,A),V_3))
% Current number of equations to process: 3754
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [359] mult(C,rd(ld(C,A),V_3)) <-> rd(A,ld(B,mult(C,mult(ld(C,B),V_3))))
% Current number of equations to process: 3754
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [360] mult(mult(B,B),ld(B,A)) <-> mult(rd(A,mult(ld(B,B),C)),mult(B,C))
% Current number of equations to process: 3753
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [361] mult(rd(A,mult(ld(B,B),C)),mult(B,C)) <-> mult(mult(B,B),ld(B,A))
% Current number of equations to process: 3753
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [362] rd(B,mult(ld(A,A),C)) <-> rd(mult(mult(A,A),ld(A,B)),mult(A,C))
% Current number of equations to process: 3752
% Current number of ordered equations: 1
% Current number of rules: 283
% New rule produced :
% [363] rd(mult(mult(A,A),ld(A,B)),mult(A,C)) <-> rd(B,mult(ld(A,A),C))
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [364] ld(A,mult(B,mult(ld(B,A),C))) <-> ld(V_3,mult(B,mult(ld(B,V_3),C)))
% Current number of equations to process: 4533
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [365] ld(rd(mult(mult(A,A),B),C),mult(A,B)) -> mult(ld(A,A),ld(A,C))
% Current number of equations to process: 1264
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [366] rd(ld(A,mult(rd(A,B),C)),ld(B,C)) <-> rd(ld(A,A),ld(B,B))
% Current number of equations to process: 1671
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [367] rd(ld(A,A),ld(B,B)) <-> rd(ld(A,mult(rd(A,B),C)),ld(B,C))
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [368] rd(mult(A,ld(B,mult(rd(B,A),C))),C) -> rd(mult(A,ld(B,B)),A)
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [369] mult(A,ld(B,mult(rd(B,A),C))) -> mult(rd(mult(A,ld(B,B)),A),C)
% Rule [368] rd(mult(A,ld(B,mult(rd(B,A),C))),C) -> rd(mult(A,ld(B,B)),A)
% collapsed.
% Current number of equations to process: 1892
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [370] mult(A,mult(rd(B,C),ld(A,V_3))) <-> mult(rd(mult(A,B),mult(A,C)),V_3)
% Current number of equations to process: 2175
% Current number of ordered equations: 4
% Current number of rules: 290
% New rule produced :
% [371] mult(A,mult(rd(B,ld(A,C)),V_3)) <-> mult(rd(mult(A,B),C),mult(A,V_3))
% Current number of equations to process: 2175
% Current number of ordered equations: 3
% Current number of rules: 291
% Rule [99] mult(rd(A,B),ld(B,C)) <-> ld(A,mult(rd(mult(A,A),mult(B,B)),C)) is composed into 
% [99] mult(rd(A,B),ld(B,C)) <-> mult(rd(A,ld(A,mult(B,B))),ld(A,C))
% New rule produced :
% [372] ld(A,mult(rd(mult(A,B),C),V_3)) -> mult(rd(B,ld(A,C)),ld(A,V_3))
% Current number of equations to process: 2175
% Current number of ordered equations: 2
% Current number of rules: 292
% New rule produced :
% [373] mult(rd(mult(A,B),mult(A,C)),V_3) <-> mult(A,mult(rd(B,C),ld(A,V_3)))
% Current number of equations to process: 2175
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [374] mult(rd(mult(A,B),C),mult(A,V_3)) <-> mult(A,mult(rd(B,ld(A,C)),V_3))
% Current number of equations to process: 2175
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [375] rd(A,mult(B,ld(C,ld(B,A)))) -> rd(mult(B,mult(C,c)),mult(B,c))
% Current number of equations to process: 3503
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [376] rd(mult(rd(A,B),mult(B,C)),mult(A,C)) <-> rd(A,mult(A,ld(B,B)))
% Current number of equations to process: 4088
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [377] rd(A,mult(A,ld(B,B))) <-> rd(mult(rd(A,B),mult(B,C)),mult(A,C))
% Current number of equations to process: 4088
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [378] mult(rd(mult(A,B),mult(A,C)),mult(A,V_3)) -> mult(A,mult(rd(B,C),V_3))
% Current number of equations to process: 4254
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [379] mult(ld(A,A),rd(B,ld(A,C))) <-> rd(mult(mult(ld(A,A),A),B),C)
% Current number of equations to process: 4834
% Current number of ordered equations: 1
% Current number of rules: 299
% New rule produced :
% [380] rd(mult(mult(ld(A,A),A),B),C) <-> mult(ld(A,A),rd(B,ld(A,C)))
% Current number of equations to process: 4834
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [381] ld(rd(mult(mult(A,A),ld(A,B)),C),B) -> mult(ld(A,A),ld(A,C))
% Current number of equations to process: 2512
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [382] mult(rd(A,mult(ld(B,B),ld(B,C))),C) <-> mult(mult(B,B),ld(B,A))
% Current number of equations to process: 2511
% Current number of ordered equations: 1
% Current number of rules: 302
% New rule produced :
% [383] mult(mult(B,B),ld(B,A)) <-> mult(rd(A,mult(ld(B,B),ld(B,C))),C)
% Current number of equations to process: 2511
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [384] mult(mult(ld(A,A),A),B) <-> mult(mult(ld(A,A),rd(B,C)),mult(A,C))
% Current number of equations to process: 3233
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced :
% [385] mult(mult(ld(A,A),rd(B,C)),mult(A,C)) <-> mult(mult(ld(A,A),A),B)
% Current number of equations to process: 3233
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [386] mult(mult(ld(A,A),B),mult(A,ld(B,C))) <-> mult(mult(ld(A,A),A),C)
% Current number of equations to process: 3893
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [387] mult(mult(ld(A,A),A),C) <-> mult(mult(ld(A,A),B),mult(A,ld(B,C)))
% Current number of equations to process: 3893
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [388] mult(ld(rd(mult(A,A),B),A),B) -> mult(ld(A,A),ld(A,mult(B,B)))
% Current number of equations to process: 4431
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [389] mult(ld(A,A),ld(A,mult(B,C))) <-> mult(ld(rd(mult(A,A),B),A),C)
% Current number of equations to process: 4489
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [390] mult(ld(rd(mult(A,A),B),A),C) <-> mult(ld(A,A),ld(A,mult(B,C)))
% Rule [388] mult(ld(rd(mult(A,A),B),A),B) -> mult(ld(A,A),ld(A,mult(B,B)))
% collapsed.
% Current number of equations to process: 4489
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [391] mult(ld(A,A),ld(A,C)) <-> mult(ld(rd(mult(A,A),B),A),ld(B,C))
% Current number of equations to process: 4525
% Current number of ordered equations: 1
% Current number of rules: 310
% New rule produced :
% [392] mult(ld(rd(mult(A,A),B),A),ld(B,C)) <-> mult(ld(A,A),ld(A,C))
% Current number of equations to process: 4525
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [393] mult(rd(A,B),mult(B,ld(A,C))) <-> mult(rd(A,mult(A,ld(B,B))),C)
% Current number of equations to process: 1842
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [394] mult(rd(A,mult(A,ld(B,B))),C) <-> mult(rd(A,B),mult(B,ld(A,C)))
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 313
% Rule [367] rd(ld(A,A),ld(B,B)) <-> rd(ld(A,mult(rd(A,B),C)),ld(B,C)) is composed into 
% [367] rd(ld(A,A),ld(B,B)) <-> rd(mult(rd(ld(A,A),ld(A,B)),ld(A,C)),ld(B,C))
% Rule [339] mult(rd(ld(A,A),ld(B,B)),ld(B,C)) <-> ld(A,mult(rd(A,B),C)) is composed into 
% [339] mult(rd(ld(A,A),ld(B,B)),ld(B,C)) <-> mult(rd(ld(A,A),ld(A,B)),ld(A,C))
% Rule [337] rd(ld(A,A),ld(B,B)) <-> rd(ld(A,mult(rd(A,B),mult(B,C))),C) is composed into 
% [337] rd(ld(A,A),ld(B,B)) <-> rd(mult(rd(ld(A,A),ld(A,B)),ld(A,mult(B,C))),C)
% Rule [304] mult(rd(ld(A,A),ld(B,B)),C) <-> ld(A,mult(rd(A,B),mult(B,C))) is composed into 
% [304]
% mult(rd(ld(A,A),ld(B,B)),C) <-> mult(rd(ld(A,A),ld(A,B)),ld(A,mult(B,C)))
% New rule produced :
% [395] ld(A,mult(rd(B,C),V_3)) -> mult(rd(ld(A,B),ld(A,C)),ld(A,V_3))
% Rule [305] ld(A,mult(rd(A,B),mult(B,C))) <-> mult(rd(ld(A,A),ld(B,B)),C)
% collapsed.
% Rule [338] rd(ld(A,mult(rd(A,B),mult(B,C))),C) <-> rd(ld(A,A),ld(B,B))
% collapsed.
% Rule [340] ld(A,mult(rd(A,B),C)) <-> mult(rd(ld(A,A),ld(B,B)),ld(B,C))
% collapsed.
% Rule [366] rd(ld(A,mult(rd(A,B),C)),ld(B,C)) <-> rd(ld(A,A),ld(B,B))
% collapsed.
% Rule [369] mult(A,ld(B,mult(rd(B,A),C))) -> mult(rd(mult(A,ld(B,B)),A),C)
% collapsed.
% Rule [372] ld(A,mult(rd(mult(A,B),C),V_3)) -> mult(rd(B,ld(A,C)),ld(A,V_3))
% collapsed.
% Current number of equations to process: 3704
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [396] mult(B,mult(rd(ld(B,A),C),ld(B,V_3))) <-> mult(rd(A,mult(B,C)),V_3)
% Current number of equations to process: 3703
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [397] mult(rd(A,mult(B,C)),V_3) <-> mult(B,mult(rd(ld(B,A),C),ld(B,V_3)))
% Current number of equations to process: 3703
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [398] mult(C,mult(rd(ld(C,A),ld(C,B)),V_3)) -> mult(rd(A,B),mult(C,V_3))
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [399] ld(rd(mult(A,mult(B,c)),mult(A,c)),C) -> mult(A,ld(B,ld(A,C)))
% Current number of equations to process: 3701
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [400] rd(mult(rd(A,B),mult(B,ld(A,C))),C) <-> rd(A,mult(A,ld(B,B)))
% Current number of equations to process: 3882
% Current number of ordered equations: 3
% Current number of rules: 313
% New rule produced :
% [401] rd(A,mult(A,ld(B,B))) <-> rd(mult(rd(A,B),mult(B,ld(A,C))),C)
% Current number of equations to process: 3882
% Current number of ordered equations: 2
% Current number of rules: 314
% New rule produced :
% [402] rd(A,mult(A,ld(B,B))) <-> rd(mult(rd(A,B),C),mult(A,ld(B,C)))
% Current number of equations to process: 3882
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [403] rd(mult(rd(A,B),C),mult(A,ld(B,C))) <-> rd(A,mult(A,ld(B,B)))
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [404] mult(rd(A,mult(A,ld(B,B))),mult(A,C)) -> mult(rd(A,B),mult(B,C))
% Current number of equations to process: 3881
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [405] mult(B,mult(rd(ld(B,A),C),V_3)) <-> mult(rd(A,mult(B,C)),mult(B,V_3))
% Current number of equations to process: 4277
% Current number of ordered equations: 1
% Current number of rules: 318
% New rule produced :
% [406] mult(rd(A,mult(B,C)),mult(B,V_3)) <-> mult(B,mult(rd(ld(B,A),C),V_3))
% Current number of equations to process: 4277
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [407] mult(mult(ld(A,A),rd(B,ld(A,C))),C) -> mult(mult(ld(A,A),A),B)
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [408] mult(mult(ld(A,A),B),mult(A,C)) <-> mult(mult(ld(A,A),A),mult(B,C))
% Current number of equations to process: 967
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [409] mult(mult(ld(A,A),A),mult(B,C)) <-> mult(mult(ld(A,A),B),mult(A,C))
% Current number of equations to process: 967
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [410] mult(A,rd(ld(A,mult(B,B)),ld(A,B))) <-> mult(rd(B,ld(A,A)),A)
% Current number of equations to process: 1000
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [411] mult(rd(B,ld(A,A)),A) <-> mult(A,rd(ld(A,mult(B,B)),ld(A,B)))
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [412] mult(ld(rd(mult(B,B),A),B),C) <-> mult(A,ld(B,mult(ld(B,B),C)))
% Current number of equations to process: 2197
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [413] mult(A,ld(B,mult(ld(B,B),C))) <-> mult(ld(rd(mult(B,B),A),B),C)
% Current number of equations to process: 2197
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [414] ld(B,mult(ld(B,B),C)) <-> ld(A,mult(ld(rd(mult(B,B),A),B),C))
% Current number of equations to process: 2858
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [415] ld(A,mult(ld(rd(mult(B,B),A),B),C)) <-> ld(B,mult(ld(B,B),C))
% Current number of equations to process: 2858
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [416] rd(mult(ld(A,A),ld(A,mult(B,C))),C) <-> ld(rd(mult(A,A),B),A)
% Current number of equations to process: 2857
% Current number of ordered equations: 1
% Current number of rules: 329
% Rule [416] rd(mult(ld(A,A),ld(A,mult(B,C))),C) <-> ld(rd(mult(A,A),B),A) is composed into 
% [416]
% rd(mult(ld(A,A),ld(A,mult(B,C))),C) <-> rd(mult(ld(A,A),ld(A,mult(B,c))),c)
% Rule [414] ld(B,mult(ld(B,B),C)) <-> ld(A,mult(ld(rd(mult(B,B),A),B),C)) is composed into 
% [414]
% ld(B,mult(ld(B,B),C)) <-> ld(A,mult(rd(mult(ld(B,B),ld(B,mult(A,c))),c),C))
% Rule [413] mult(A,ld(B,mult(ld(B,B),C))) <-> mult(ld(rd(mult(B,B),A),B),C) is composed into 
% [413]
% mult(A,ld(B,mult(ld(B,B),C))) <-> mult(rd(mult(ld(B,B),ld(B,mult(A,c))),c),C)
% Rule [391] mult(ld(A,A),ld(A,C)) <-> mult(ld(rd(mult(A,A),B),A),ld(B,C)) is composed into 
% [391]
% mult(ld(A,A),ld(A,C)) <-> mult(rd(mult(ld(A,A),ld(A,mult(B,c))),c),ld(B,C))
% Rule [389] mult(ld(A,A),ld(A,mult(B,C))) <-> mult(ld(rd(mult(A,A),B),A),C) is composed into 
% [389]
% mult(ld(A,A),ld(A,mult(B,C))) <-> mult(rd(mult(ld(A,A),ld(A,mult(B,c))),c),C)
% New rule produced :
% [417] ld(rd(mult(A,A),B),A) <-> rd(mult(ld(A,A),ld(A,mult(B,C))),C)
% Rule [390] mult(ld(rd(mult(A,A),B),A),C) <-> mult(ld(A,A),ld(A,mult(B,C)))
% collapsed.
% Rule [392] mult(ld(rd(mult(A,A),B),A),ld(B,C)) <-> mult(ld(A,A),ld(A,C))
% collapsed.
% Rule [412] mult(ld(rd(mult(B,B),A),B),C) <-> mult(A,ld(B,mult(ld(B,B),C)))
% collapsed.
% Rule [415] ld(A,mult(ld(rd(mult(B,B),A),B),C)) <-> ld(B,mult(ld(B,B),C))
% collapsed.
% Current number of equations to process: 2861
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [418] mult(A,ld(rd(B,ld(A,C)),ld(A,V_3))) <-> ld(rd(mult(A,B),C),V_3)
% Current number of equations to process: 4801
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [419] ld(rd(mult(A,B),C),V_3) <-> mult(A,ld(rd(B,ld(A,C)),ld(A,V_3)))
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [420] ld(rd(mult(A,mult(B,C)),mult(A,C)),V_3) -> mult(A,ld(B,ld(A,V_3)))
% Rule [399] ld(rd(mult(A,mult(B,c)),mult(A,c)),C) -> mult(A,ld(B,ld(A,C)))
% collapsed.
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [421] rd(A,mult(B,ld(C,ld(rd(B,C),A)))) -> rd(B,mult(B,ld(C,C)))
% Current number of equations to process: 2971
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [422] mult(mult(ld(A,A),B),C) <-> mult(mult(ld(A,A),A),mult(B,ld(A,C)))
% Rule [407] mult(mult(ld(A,A),rd(B,ld(A,C))),C) -> mult(mult(ld(A,A),A),B)
% collapsed.
% Current number of equations to process: 4233
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [423] rd(mult(A,A),mult(ld(B,B),ld(B,A))) <-> mult(rd(A,ld(B,B)),B)
% Current number of equations to process: 4863
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [424] mult(rd(A,ld(B,B)),B) <-> rd(mult(A,A),mult(ld(B,B),ld(B,A)))
% Current number of equations to process: 4863
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [425] mult(A,ld(rd(B,ld(A,C)),V_3)) <-> ld(rd(mult(A,B),C),mult(A,V_3))
% Current number of equations to process: 3091
% Current number of ordered equations: 4
% Current number of rules: 332
% New rule produced :
% [426] ld(A,ld(rd(mult(A,B),C),V_3)) <-> ld(rd(B,ld(A,C)),ld(A,V_3))
% Current number of equations to process: 3091
% Current number of ordered equations: 3
% Current number of rules: 333
% New rule produced :
% [427] ld(rd(mult(A,B),mult(A,C)),V_3) -> mult(A,ld(rd(B,C),ld(A,V_3)))
% Rule [420] ld(rd(mult(A,mult(B,C)),mult(A,C)),V_3) -> mult(A,ld(B,ld(A,V_3)))
% collapsed.
% Current number of equations to process: 3091
% Current number of ordered equations: 2
% Current number of rules: 333
% New rule produced :
% [428] ld(rd(B,ld(A,C)),ld(A,V_3)) <-> ld(A,ld(rd(mult(A,B),C),V_3))
% Current number of equations to process: 3091
% Current number of ordered equations: 1
% Current number of rules: 334
% New rule produced :
% [429] ld(rd(mult(A,B),C),mult(A,V_3)) <-> mult(A,ld(rd(B,ld(A,C)),V_3))
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [430] ld(rd(A,mult(A,ld(B,B))),C) -> mult(A,ld(B,ld(rd(A,B),C)))
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [431] ld(A,ld(rd(mult(A,B),C),mult(A,V_3))) <-> ld(rd(B,ld(A,C)),V_3)
% Current number of equations to process: 2767
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [432] ld(rd(B,ld(A,C)),V_3) <-> ld(A,ld(rd(mult(A,B),C),mult(A,V_3)))
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [433] ld(rd(ld(A,B),ld(A,C)),ld(A,V_3)) -> ld(A,ld(rd(B,C),V_3))
% Current number of equations to process: 2806
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [434] mult(B,ld(rd(ld(B,A),C),ld(B,V_3))) <-> ld(rd(A,mult(B,C)),V_3)
% Current number of equations to process: 2805
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [435] ld(rd(A,mult(B,C)),V_3) <-> mult(B,ld(rd(ld(B,A),C),ld(B,V_3)))
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [436] mult(C,ld(rd(ld(C,A),ld(C,B)),V_3)) -> ld(rd(A,B),mult(C,V_3))
% Current number of equations to process: 2803
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [437] ld(rd(ld(A,B),ld(A,C)),V_3) -> ld(A,ld(rd(B,C),mult(A,V_3)))
% Rule [433] ld(rd(ld(A,B),ld(A,C)),ld(A,V_3)) -> ld(A,ld(rd(B,C),V_3))
% collapsed.
% Rule [436] mult(C,ld(rd(ld(C,A),ld(C,B)),V_3)) -> ld(rd(A,B),mult(C,V_3))
% collapsed.
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [438] mult(A,ld(rd(ld(A,B),C),V_3)) <-> ld(rd(B,mult(A,C)),mult(A,V_3))
% Current number of equations to process: 3511
% Current number of ordered equations: 3
% Current number of rules: 342
% New rule produced :
% [439] ld(A,ld(rd(B,mult(A,C)),V_3)) <-> ld(rd(ld(A,B),C),ld(A,V_3))
% Current number of equations to process: 3511
% Current number of ordered equations: 2
% Current number of rules: 343
% New rule produced :
% [440] ld(rd(B,mult(A,C)),mult(A,V_3)) <-> mult(A,ld(rd(ld(A,B),C),V_3))
% Current number of equations to process: 3511
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [441] ld(rd(ld(A,B),C),ld(A,V_3)) <-> ld(A,ld(rd(B,mult(A,C)),V_3))
% Current number of equations to process: 3511
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [442] ld(A,ld(rd(B,mult(A,C)),mult(A,V_3))) <-> ld(rd(ld(A,B),C),V_3)
% Current number of equations to process: 1475
% Current number of ordered equations: 1
% Current number of rules: 346
% New rule produced :
% [443] ld(rd(ld(A,B),C),V_3) <-> ld(A,ld(rd(B,mult(A,C)),mult(A,V_3)))
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [444] rd(A,ld(B,ld(rd(C,V_3),mult(B,A)))) -> rd(ld(B,C),ld(B,V_3))
% Current number of equations to process: 1514
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [445] ld(rd(ld(B,B),ld(A,A)),ld(B,C)) -> ld(A,ld(rd(B,A),C))
% Current number of equations to process: 1512
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [446] ld(rd(ld(B,B),ld(A,A)),C) -> ld(A,ld(rd(B,A),mult(B,C)))
% Rule [445] ld(rd(ld(B,B),ld(A,A)),ld(B,C)) -> ld(A,ld(rd(B,A),C)) collapsed.
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [447] rd(A,ld(B,ld(C,mult(B,A)))) <-> rd(ld(B,mult(C,V_3)),ld(B,V_3))
% Rule [444] rd(A,ld(B,ld(rd(C,V_3),mult(B,A)))) -> rd(ld(B,C),ld(B,V_3))
% collapsed.
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [448] ld(rd(mult(B,ld(A,A)),B),C) -> ld(rd(A,B),mult(A,ld(B,C)))
% Current number of equations to process: 2372
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [449] rd(ld(A,mult(B,C)),ld(A,C)) <-> rd(ld(A,mult(B,V_3)),ld(A,V_3))
% Current number of equations to process: 2406
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [450] rd(ld(A,B),ld(A,ld(C,B))) <-> rd(ld(A,mult(C,V_3)),ld(A,V_3))
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [451] rd(A,ld(B,ld(rd(C,B),mult(C,A)))) -> rd(ld(C,C),ld(B,B))
% Rule
% [214] rd(A,ld(B,ld(rd(C,B),mult(C,A)))) <-> rd(ld(C,B),ld(B,ld(rd(C,B),B)))
% collapsed.
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [452] rd(A,ld(rd(B,C),mult(B,ld(C,A)))) -> rd(mult(C,ld(B,B)),C)
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [453] mult(A,rd(ld(A,mult(B,C)),ld(A,C))) <-> mult(rd(B,ld(A,A)),A)
% Rule [410] mult(A,rd(ld(A,mult(B,B)),ld(A,B))) <-> mult(rd(B,ld(A,A)),A)
% collapsed.
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [454] rd(mult(A,B),ld(rd(C,A),mult(C,B))) -> rd(mult(A,ld(C,C)),A)
% Current number of equations to process: 3669
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [455] rd(mult(A,ld(B,C)),ld(rd(B,A),C)) -> rd(mult(A,ld(B,B)),A)
% Current number of equations to process: 3839
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [456] mult(rd(A,ld(B,B)),B) <-> rd(mult(A,ld(B,mult(mult(B,B),C))),C)
% Current number of equations to process: 3841
% Current number of ordered equations: 1
% Current number of rules: 356
% New rule produced :
% [457] rd(mult(A,ld(B,mult(mult(B,B),C))),C) <-> mult(rd(A,ld(B,B)),B)
% Current number of equations to process: 3841
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [458] mult(A,rd(ld(A,B),ld(A,C))) <-> mult(rd(rd(B,C),ld(A,A)),A)
% Current number of equations to process: 3875
% Current number of ordered equations: 1
% Current number of rules: 358
% New rule produced :
% [459] mult(rd(rd(B,C),ld(A,A)),A) <-> mult(A,rd(ld(A,B),ld(A,C)))
% Current number of equations to process: 3875
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [460] mult(rd(mult(A,ld(B,A)),ld(A,A)),A) <-> mult(A,ld(B,mult(A,A)))
% Current number of equations to process: 4217
% Current number of ordered equations: 1
% Current number of rules: 360
% New rule produced :
% [461] mult(A,ld(B,mult(A,A))) <-> mult(rd(mult(A,ld(B,A)),ld(A,A)),A)
% Current number of equations to process: 4217
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [462] rd(mult(A,mult(B,C)),mult(ld(B,B),C)) <-> mult(rd(A,ld(B,B)),B)
% Current number of equations to process: 4216
% Current number of ordered equations: 1
% Current number of rules: 362
% Rule [462] rd(mult(A,mult(B,C)),mult(ld(B,B),C)) <-> mult(rd(A,ld(B,B)),B) is composed into 
% [462]
% rd(mult(A,mult(B,C)),mult(ld(B,B),C)) <->
% rd(mult(A,mult(B,c)),mult(ld(B,B),c))
% Rule [461] mult(A,ld(B,mult(A,A))) <-> mult(rd(mult(A,ld(B,A)),ld(A,A)),A) is composed into 
% [461]
% mult(A,ld(B,mult(A,A))) <->
% rd(mult(mult(A,ld(B,A)),mult(A,c)),mult(ld(A,A),c))
% Rule [458] mult(A,rd(ld(A,B),ld(A,C))) <-> mult(rd(rd(B,C),ld(A,A)),A) is composed into 
% [458]
% mult(A,rd(ld(A,B),ld(A,C))) <-> rd(mult(rd(B,C),mult(A,C)),mult(ld(A,A),C))
% Rule [457] rd(mult(A,ld(B,mult(mult(B,B),C))),C) <-> mult(rd(A,ld(B,B)),B) is composed into 
% [457]
% rd(mult(A,ld(B,mult(mult(B,B),C))),C) ->
% rd(mult(A,mult(B,c)),mult(ld(B,B),c))
% Rule [453] mult(A,rd(ld(A,mult(B,C)),ld(A,C))) <-> mult(rd(B,ld(A,A)),A) is composed into 
% [453]
% mult(A,rd(ld(A,mult(B,C)),ld(A,C))) <-> rd(mult(B,mult(A,c)),mult(ld(A,A),c))
% Rule [423] rd(mult(A,A),mult(ld(B,B),ld(B,A))) <-> mult(rd(A,ld(B,B)),B) is composed into 
% [423]
% rd(mult(A,A),mult(ld(B,B),ld(B,A))) -> rd(mult(A,mult(B,c)),mult(ld(B,B),c))
% New rule produced :
% [463] mult(rd(A,ld(B,B)),B) <-> rd(mult(A,mult(B,C)),mult(ld(B,B),C))
% Rule [235] rd(A,mult(rd(ld(A,A),ld(A,A)),A)) -> rd(mult(A,A),mult(A,A))
% collapsed.
% Rule [411] mult(rd(B,ld(A,A)),A) <-> mult(A,rd(ld(A,mult(B,B)),ld(A,B)))
% collapsed.
% Rule [424] mult(rd(A,ld(B,B)),B) <-> rd(mult(A,A),mult(ld(B,B),ld(B,A)))
% collapsed.
% Rule [456] mult(rd(A,ld(B,B)),B) <-> rd(mult(A,ld(B,mult(mult(B,B),C))),C)
% collapsed.
% Rule [459] mult(rd(rd(B,C),ld(A,A)),A) <-> mult(A,rd(ld(A,B),ld(A,C)))
% collapsed.
% Rule [460] mult(rd(mult(A,ld(B,A)),ld(A,A)),A) <-> mult(A,ld(B,mult(A,A)))
% collapsed.
% Current number of equations to process: 4220
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [464]
% rd(mult(A,B),mult(ld(C,C),ld(C,B))) <-> rd(mult(A,mult(C,C)),mult(ld(C,C),C))
% Rule
% [423]
% rd(mult(A,A),mult(ld(B,B),ld(B,A))) -> rd(mult(A,mult(B,c)),mult(ld(B,B),c))
% collapsed.
% Current number of equations to process: 4219
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [465]
% rd(mult(A,mult(C,C)),mult(ld(C,C),C)) <-> rd(mult(A,B),mult(ld(C,C),ld(C,B)))
% Current number of equations to process: 4219
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [466] rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),C)))) <-> ld(A,rd(B,C))
% Current number of equations to process: 4381
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [467] ld(A,rd(B,C)) <-> rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),C))))
% Current number of equations to process: 4381
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [468] mult(mult(A,A),B) <-> mult(rd(mult(A,B),C),ld(A,mult(mult(A,A),C)))
% Current number of equations to process: 4760
% Current number of ordered equations: 1
% Current number of rules: 361
% New rule produced :
% [469] mult(rd(mult(A,B),C),ld(A,mult(mult(A,A),C))) <-> mult(mult(A,A),B)
% Current number of equations to process: 4760
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [470] ld(A,mult(B,A)) <-> rd(mult(ld(A,mult(B,B)),C),ld(A,mult(B,C)))
% Current number of equations to process: 2672
% Current number of ordered equations: 1
% Current number of rules: 363
% New rule produced :
% [471] rd(mult(ld(A,mult(B,B)),C),ld(A,mult(B,C))) <-> ld(A,mult(B,A))
% Current number of equations to process: 2672
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [472] ld(A,mult(B,A)) <-> rd(mult(ld(A,mult(B,B)),ld(B,C)),ld(A,C))
% Current number of equations to process: 3358
% Current number of ordered equations: 1
% Current number of rules: 365
% New rule produced :
% [473] rd(mult(ld(A,mult(B,B)),ld(B,C)),ld(A,C)) <-> ld(A,mult(B,A))
% Current number of equations to process: 3358
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [474] rd(mult(ld(A,mult(B,A)),C),ld(B,mult(A,C))) <-> ld(A,mult(B,B))
% Current number of equations to process: 3955
% Current number of ordered equations: 1
% Current number of rules: 367
% New rule produced :
% [475] ld(A,mult(B,B)) <-> rd(mult(ld(A,mult(B,A)),C),ld(B,mult(A,C)))
% Current number of equations to process: 3955
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [476] ld(A,mult(B,A)) <-> rd(mult(ld(A,mult(B,B)),ld(B,mult(A,C))),C)
% Current number of equations to process: 4495
% Current number of ordered equations: 1
% Current number of rules: 369
% New rule produced :
% [477] rd(mult(ld(A,mult(B,B)),ld(B,mult(A,C))),C) <-> ld(A,mult(B,A))
% Current number of equations to process: 4495
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [478] rd(rd(mult(A,mult(B,C)),mult(mult(B,B),C)),B) -> rd(A,mult(B,B))
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [479] rd(rd(A,mult(mult(B,B),C)),B) -> rd(rd(A,mult(B,C)),mult(B,B))
% Rule [478] rd(rd(mult(A,mult(B,C)),mult(mult(B,B),C)),B) -> rd(A,mult(B,B))
% collapsed.
% Current number of equations to process: 2073
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [480] mult(mult(A,B),C) <-> mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),C)))))
% Current number of equations to process: 2253
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [481] mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),C))))) <-> mult(mult(A,B),C)
% Current number of equations to process: 2253
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [482] mult(ld(A,B),ld(C,ld(A,mult(mult(A,C),V_3)))) <-> ld(A,mult(B,V_3))
% Rule [203] mult(ld(A,B),ld(A,ld(A,mult(mult(A,A),C)))) <-> ld(A,mult(B,C))
% collapsed.
% Rule [210] mult(ld(A,A),ld(B,ld(A,mult(mult(A,B),C)))) -> C collapsed.
% Current number of equations to process: 3024
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [483] rd(mult(mult(A,A),C),ld(B,mult(mult(B,A),C))) -> mult(A,ld(B,B))
% Current number of equations to process: 3408
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [484] mult(mult(A,ld(C,C)),ld(C,mult(mult(C,A),B))) -> mult(mult(A,A),B)
% Current number of equations to pCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------