%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP754-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n038.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 00:24:30 EDT 2014

% Result   : Timeout 300.09s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP754-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n038.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 01:37:38 CDT 2014
% % CPUTime  : 300.09 
% Processing problem /tmp/CiME_33921_n038.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(A,mult(B,C)) = mult(mult(rd(A,A),B),mult(A,C));
% mult(mult(A,B),C) = mult(mult(A,C),mult(B,ld(C,C)));
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
% 
% let p1 = precedence F "
% ld > mult > rd > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% rd mul;
% mult mul;
% ld mul;
% ";
% 
% let p2 = precedence F "
% ld > mult > rd > a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " mult(mult(a,a),mult(b,c)) = mult(mult(a,b),mult(a,c));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% mult(rd(A,B),B) = A,
% rd(mult(A,B),B) = A,
% mult(A,mult(B,C)) =
% mult(mult(rd(A,A),B),mult(A,C)),
% mult(mult(A,B),C) =
% mult(mult(A,C),mult(B,ld(C,C))) }
% (6 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { mult(mult(a,a),mult(b,c)) =
% mult(mult(a,b),mult(a,c)) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 6
% 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: 5
% 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: 4
% 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: 3
% Current number of rules: 4
% New rule produced : [5] mult(mult(A,B),C) <-> mult(mult(A,C),mult(B,ld(C,C)))
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 5
% New rule produced : [6] mult(mult(rd(A,A),B),mult(A,C)) -> mult(A,mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 6
% New rule produced : [7] mult(mult(A,C),mult(B,ld(C,C))) <-> mult(mult(A,B),C)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 7
% New rule produced : [8] rd(A,ld(B,A)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced : [9] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] mult(A,mult(B,ld(A,C))) <-> mult(mult(rd(A,A),B),C)
% Current number of equations to process: 10
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced : [11] mult(mult(rd(A,A),B),C) <-> mult(A,mult(B,ld(A,C)))
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] mult(A,mult(B,ld(C,C))) <-> mult(mult(rd(A,C),B),C)
% Current number of equations to process: 17
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced : [13] mult(mult(rd(A,C),B),C) <-> mult(A,mult(B,ld(C,C)))
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] rd(mult(A,mult(B,C)),mult(A,C)) <-> mult(rd(A,A),B)
% Current number of equations to process: 62
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced : [15] mult(rd(A,A),B) <-> rd(mult(A,mult(B,C)),mult(A,C))
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] mult(rd(A,A),rd(B,C)) -> rd(mult(A,B),mult(A,C))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] mult(B,mult(ld(rd(B,B),A),C)) -> mult(A,mult(B,C))
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] ld(A,mult(B,mult(A,C))) <-> mult(ld(rd(A,A),B),C)
% Current number of equations to process: 117
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced : [19] mult(ld(rd(A,A),B),C) <-> ld(A,mult(B,mult(A,C)))
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] ld(mult(A,B),mult(mult(A,C),B)) -> mult(C,ld(B,B))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [21] ld(mult(A,B),mult(C,B)) -> mult(ld(A,C),ld(B,B))
% Rule [20] ld(mult(A,B),mult(mult(A,C),B)) -> mult(C,ld(B,B)) collapsed.
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [22] ld(A,mult(mult(rd(A,A),B),C)) -> mult(B,ld(A,C))
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] mult(rd(A,A),B) <-> rd(mult(A,mult(B,ld(A,C))),C)
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [24] rd(mult(A,mult(B,ld(A,C))),C) <-> mult(rd(A,A),B)
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [25] mult(C,ld(B,B)) <-> ld(A,mult(mult(rd(A,B),C),B))
% Current number of equations to process: 246
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced : [26] ld(A,mult(mult(rd(A,B),C),B)) <-> mult(C,ld(B,B))
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [27] rd(mult(A,mult(B,ld(C,C))),C) <-> mult(rd(A,C),B)
% Current number of equations to process: 288
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced : [28] mult(rd(A,C),B) <-> rd(mult(A,mult(B,ld(C,C))),C)
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [29] rd(mult(A,B),mult(A,ld(C,B))) <-> mult(rd(A,A),C)
% Current number of equations to process: 337
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced : [30] mult(rd(A,A),C) <-> rd(mult(A,B),mult(A,ld(C,B)))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [31] ld(A,mult(B,C)) <-> mult(ld(rd(A,A),B),ld(A,C))
% Current number of equations to process: 400
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced : [32] mult(ld(rd(A,A),B),ld(A,C)) <-> ld(A,mult(B,C))
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 31
% Rule [31] ld(A,mult(B,C)) <-> mult(ld(rd(A,A),B),ld(A,C)) is composed into 
% [31] ld(A,mult(B,C)) <-> mult(rd(ld(A,mult(B,mult(A,c))),c),ld(A,C))
% Rule [18] ld(A,mult(B,mult(A,C))) <-> mult(ld(rd(A,A),B),C) is composed into 
% [18] ld(A,mult(B,mult(A,C))) <-> mult(rd(ld(A,mult(B,mult(A,c))),c),C)
% New rule produced : [33] ld(rd(A,A),B) <-> rd(ld(A,mult(B,mult(A,C))),C)
% Rule [17] mult(B,mult(ld(rd(B,B),A),C)) -> mult(A,mult(B,C)) collapsed.
% Rule [19] mult(ld(rd(A,A),B),C) <-> ld(A,mult(B,mult(A,C))) collapsed.
% Rule [32] mult(ld(rd(A,A),B),ld(A,C)) <-> ld(A,mult(B,C)) collapsed.
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [34] ld(mult(A,B),C) -> mult(ld(A,rd(C,B)),ld(B,B))
% Rule [21] ld(mult(A,B),mult(C,B)) -> mult(ld(A,C),ld(B,B)) collapsed.
% Current number of equations to process: 453
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [35] mult(A,ld(B,mult(C,ld(A,A)))) -> mult(C,ld(B,A))
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [36] mult(ld(rd(A,C),B),ld(C,C)) -> ld(A,mult(B,C))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [37] mult(rd(A,C),rd(B,ld(C,C))) -> rd(mult(A,B),C)
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [38] rd(mult(mult(A,C),B),C) <-> mult(A,rd(B,ld(C,C)))
% Current number of equations to process: 541
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced : [39] mult(A,rd(B,ld(C,C))) <-> rd(mult(mult(A,C),B),C)
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [40] rd(A,mult(B,ld(C,ld(B,A)))) -> mult(rd(B,B),C)
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [41]
% mult(A,ld(B,C)) <-> mult(rd(ld(A,mult(rd(mult(A,C),B),mult(A,C))),C),ld(B,B))
% Current number of equations to process: 627
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [42]
% mult(rd(ld(A,mult(rd(mult(A,C),B),mult(A,C))),C),ld(B,B)) <-> mult(A,ld(B,C))
% Current number of equations to process: 627
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [43] rd(ld(A,mult(B,C)),ld(A,C)) <-> rd(ld(A,mult(B,mult(A,c))),c)
% Current number of equations to process: 717
% Current number of ordered equations: 1
% Current number of rules: 38
% Rule [43] rd(ld(A,mult(B,C)),ld(A,C)) <-> rd(ld(A,mult(B,mult(A,c))),c) is composed into 
% [43] rd(ld(A,mult(B,C)),ld(A,C)) <-> rd(ld(A,mult(B,c)),ld(A,c))
% Rule [31] ld(A,mult(B,C)) <-> mult(rd(ld(A,mult(B,mult(A,c))),c),ld(A,C)) is composed into 
% [31] ld(A,mult(B,C)) <-> mult(rd(ld(A,mult(B,c)),ld(A,c)),ld(A,C))
% Rule [18] ld(A,mult(B,mult(A,C))) <-> mult(rd(ld(A,mult(B,mult(A,c))),c),C) is composed into 
% [18] ld(A,mult(B,mult(A,C))) -> mult(rd(ld(A,mult(B,c)),ld(A,c)),C)
% New rule produced :
% [44] rd(ld(A,mult(B,mult(A,c))),c) <-> rd(ld(A,mult(B,C)),ld(A,C))
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [45] mult(A,ld(B,C)) <-> mult(rd(C,ld(A,A)),ld(B,A))
% Rule [35] mult(A,ld(B,mult(C,ld(A,A)))) -> mult(C,ld(B,A)) collapsed.
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [46] ld(rd(A,C),B) -> rd(ld(A,mult(B,C)),ld(C,C))
% Rule [9] ld(rd(A,B),A) -> B collapsed.
% Rule [33] ld(rd(A,A),B) <-> rd(ld(A,mult(B,mult(A,C))),C) collapsed.
% Rule [36] mult(ld(rd(A,C),B),ld(C,C)) -> ld(A,mult(B,C)) collapsed.
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [47] rd(C,ld(B,B)) <-> ld(A,rd(mult(mult(A,B),C),B))
% Current number of equations to process: 813
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced : [48] ld(A,rd(mult(mult(A,B),C),B)) <-> rd(C,ld(B,B))
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [49] mult(mult(C,B),mult(ld(C,A),ld(B,B))) -> mult(A,B)
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [50] mult(mult(rd(A,C),B),mult(C,ld(B,B))) -> mult(A,B)
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [51] rd(mult(A,B),mult(C,ld(B,B))) <-> mult(rd(A,C),B)
% Current number of equations to process: 900
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced : [52] mult(rd(A,C),B) <-> rd(mult(A,B),mult(C,ld(B,B)))
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [53] rd(A,mult(B,ld(C,C))) <-> mult(rd(rd(A,C),B),C)
% Current number of equations to process: 939
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [54] mult(rd(rd(A,C),B),C) <-> rd(A,mult(B,ld(C,C)))
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [55] rd(rd(A,mult(B,ld(C,C))),C) -> rd(rd(A,C),B)
% Current number of equations to process: 1089
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [56] rd(rd(A,B),C) <-> rd(rd(A,C),rd(B,ld(C,C)))
% Rule [55] rd(rd(A,mult(B,ld(C,C))),C) -> rd(rd(A,C),B) collapsed.
% Current number of equations to process: 1110
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [57]
% mult(rd(ld(A,mult(rd(mult(A,mult(B,C)),B),A)),ld(A,A)),ld(B,B)) -> mult(A,C)
% Current number of equations to process: 1143
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [58] rd(mult(mult(A,B),C),mult(B,ld(C,C))) -> mult(A,C)
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [59] mult(C,mult(rd(ld(C,mult(A,C)),ld(C,C)),ld(C,B))) -> mult(A,B)
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [60] rd(rd(mult(A,mult(B,C)),mult(A,C)),B) -> rd(A,A)
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [61] rd(rd(mult(A,B),mult(A,C)),rd(B,C)) -> rd(A,A)
% Current number of equations to process: 1357
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [62] rd(ld(A,mult(rd(mult(A,B),mult(A,C)),A)),ld(A,A)) -> rd(B,C)
% Current number of equations to process: 1433
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [63]
% mult(C,mult(A,rd(mult(rd(ld(ld(A,mult(C,A)),mult(B,c)),ld(ld(A,mult(C,A)),c)),
% ld(ld(A,mult(C,A)),ld(A,A))),ld(ld(A,A),ld(A,A))))) ->
% mult(A,B)
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [64] rd(mult(A,B),mult(ld(C,A),ld(B,B))) -> mult(C,B)
% Current number of equations to process: 1548
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [65]
% mult(C,mult(rd(ld(A,mult(rd(ld(A,mult(rd(B,C),A)),ld(A,A)),c)),ld(A,c)),
% ld(A,ld(C,C)))) -> ld(A,B)
% Current number of equations to process: 1586
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [66] rd(rd(mult(A,mult(B,ld(A,C))),C),B) -> rd(A,A)
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [67] ld(A,ld(B,mult(mult(rd(B,C),A),C))) <-> ld(C,C)
% Current number of equations to process: 1664
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced : [68] ld(C,C) <-> ld(A,ld(B,mult(mult(rd(B,C),A),C)))
% Rule
% [63]
% mult(C,mult(A,rd(mult(rd(ld(ld(A,mult(C,A)),mult(B,c)),ld(ld(A,mult(C,A)),c)),
% ld(ld(A,mult(C,A)),ld(A,A))),ld(ld(A,A),ld(A,A))))) ->
% mult(A,B) collapsed.
% Current number of equations to process: 1665
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [69] rd(rd(mult(A,mult(B,ld(C,C))),C),B) -> rd(A,C)
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [70] rd(rd(mult(A,B),mult(A,ld(C,B))),C) -> rd(A,A)
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [71] mult(rd(ld(A,mult(C,A)),ld(A,A)),ld(A,ld(C,B))) -> ld(A,B)
% Current number of equations to process: 1815
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [72]
% rd(mult(rd(ld(ld(A,mult(B,A)),mult(ld(A,mult(B,C)),c)),ld(ld(A,mult(B,A)),c)),
% ld(ld(A,mult(B,A)),ld(A,A))),mult(rd(ld(c,rd(mult(ld(c,mult(mult(rd(c,
% ld(A,A)),c),c)),c),
% mult(ld(c,c),ld(c,c)))),
% ld(c,c)),ld(c,ld(c,ld(A,A))))) ->
% ld(A,C)
% Current number of equations to process: 1861
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [73] rd(A,rd(ld(B,mult(A,c)),ld(B,c))) -> rd(B,B)
% Current number of equations to process: 1939
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [74] rd(A,mult(ld(B,rd(A,C)),ld(C,C))) -> mult(B,C)
% Current number of equations to process: 1961
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [75]
% mult(C,rd(mult(ld(C,rd(mult(A,B),ld(A,A))),mult(rd(ld(c,rd(mult(ld(c,
% mult(
% mult(
% rd(c,
% ld(A,A)),c),c)),c),
% mult(ld(c,c),
% ld(c,c)))),ld(c,c)),
% ld(c,ld(c,ld(A,A))))),ld(B,B))) ->
% mult(A,B)
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [76]
% rd(ld(B,B),mult(rd(ld(c,rd(mult(ld(c,mult(mult(rd(c,ld(B,B)),c),c)),c),
% mult(ld(c,c),ld(c,c)))),ld(c,c)),ld(c,ld(c,ld(B,B)))))
% -> ld(B,B)
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [77] rd(rd(mult(A,B),C),rd(B,ld(C,C))) -> rd(A,C)
% Current number of equations to process: 2085
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [78] mult(rd(mult(C,B),ld(A,A)),ld(C,A)) -> mult(A,B)
% Current number of equations to process: 2139
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [79] rd(mult(A,B),ld(C,A)) <-> rd(mult(C,B),ld(A,A))
% Current number of equations to process: 2152
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced : [80] rd(mult(C,B),ld(A,A)) <-> rd(mult(A,B),ld(C,A))
% Current number of equations to process: 2152
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [81] rd(A,ld(B,C)) <-> rd(mult(B,ld(C,A)),ld(C,C))
% Current number of equations to process: 2294
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced : [82] rd(mult(B,ld(C,A)),ld(C,C)) <-> rd(A,ld(B,C))
% Current number of equations to process: 2294
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [83] rd(A,ld(B,B)) <-> rd(mult(B,ld(C,A)),ld(C,B))
% Current number of equations to process: 2295
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced : [84] rd(mult(B,ld(C,A)),ld(C,B)) <-> rd(A,ld(B,B))
% Current number of equations to process: 2295
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [85] mult(B,ld(C,A)) <-> mult(rd(A,ld(B,C)),ld(C,C))
% Current number of equations to process: 2352
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced : [86] mult(rd(A,ld(B,C)),ld(C,C)) <-> mult(B,ld(C,A))
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [87] mult(rd(C,ld(A,A)),rd(ld(C,mult(A,B)),ld(B,B))) -> mult(A,B)
% Current number of equations to process: 2570
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [88] rd(A,rd(ld(B,mult(A,C)),ld(C,C))) -> rd(B,C)
% Current number of equations to process: 2620
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [89] rd(rd(C,B),rd(ld(A,C),ld(B,B))) -> rd(A,B)
% Current number of equations to process: 2642
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [90] rd(rd(A,mult(B,C)),rd(ld(B,A),C)) -> rd(B,B)
% Current number of equations to process: 2670
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced : [91] rd(rd(mult(A,B),C),rd(B,ld(A,C))) -> rd(A,A)
% Current number of equations to process: 2670
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [92] rd(rd(A,c),rd(ld(B,A),ld(B,c))) -> rd(B,B)
% Current number of equations to process: 2788
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [93] mult(rd(mult(A,B),ld(C,A)),ld(A,A)) -> mult(C,B)
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [94] rd(rd(A,B),rd(ld(C,A),ld(C,B))) -> rd(C,C)
% Rule [92] rd(rd(A,c),rd(ld(B,A),ld(B,c))) -> rd(B,B) collapsed.
% Current number of equations to process: 2881
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [95] rd(A,rd(B,ld(C,ld(A,mult(C,B))))) -> rd(C,C)
% Current number of equations to process: 2932
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [96] rd(A,rd(ld(B,C),ld(B,ld(A,C)))) -> rd(B,B)
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [97] rd(A,rd(ld(B,mult(A,C)),ld(B,C))) -> rd(B,B)
% Rule [73] rd(A,rd(ld(B,mult(A,c)),ld(B,c))) -> rd(B,B) collapsed.
% Current number of equations to process: 2983
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [98] mult(ld(A,rd(mult(mult(A,C),mult(B,ld(C,C))),B)),ld(B,B)) -> C
% Current number of equations to process: 3011
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [99] rd(mult(mult(rd(A,A),B),C),mult(B,ld(A,C))) -> A
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [100]
% mult(rd(ld(A,rd(mult(mult(A,B),mult(mult(C,ld(B,B)),ld(B,B))),mult(C,ld(B,B)))),
% ld(B,B)),ld(C,C)) -> B
% Current number of equations to process: 3129
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [101] rd(mult(rd(A,B),mult(C,B)),A) <-> mult(rd(rd(A,B),rd(A,B)),C)
% Current number of equations to process: 3222
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [102] mult(rd(rd(A,B),rd(A,B)),C) <-> rd(mult(rd(A,B),mult(C,B)),A)
% Current number of equations to process: 3222
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [103] 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: 3442
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [104] 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: 3442
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [105] rd(mult(A,mult(B,C)),mult(rd(ld(B,mult(A,B)),ld(B,B)),C)) -> B
% Current number of equations to process: 3683
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [106]
% ld(A,mult(mult(rd(B,B),A),C)) <-> mult(rd(ld(A,mult(B,A)),ld(A,A)),ld(B,C))
% Current number of equations to process: 3752
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [107]
% mult(rd(ld(A,mult(B,A)),ld(A,A)),ld(B,C)) <-> ld(A,mult(mult(rd(B,B),A),C))
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [108]
% ld(A,mult(mult(rd(B,C),A),C)) <-> mult(rd(ld(A,mult(B,A)),ld(A,A)),ld(C,C))
% Current number of equations to process: 3888
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [109]
% mult(rd(ld(A,mult(B,A)),ld(A,A)),ld(C,C)) <-> ld(A,mult(mult(rd(B,C),A),C))
% Current number of equations to process: 3888
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [110]
% rd(mult(rd(ld(ld(A,mult(B,A)),mult(mult(rd(ld(A,mult(B,c)),ld(A,c)),C),c)),
% ld(ld(A,mult(B,A)),c)),ld(ld(A,mult(B,A)),ld(A,A))),mult(rd(ld(c,
% rd(
% mult(
% ld(c,
% mult(
% mult(
% rd(c,
% ld(A,A)),c),c)),c),
% mult(
% ld(c,c),
% ld(c,c)))),
% ld(c,c)),
% ld(c,ld(c,
% ld(A,A)))))
% -> C
% Current number of equations to process: 4071
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [111]
% mult(rd(ld(A,mult(mult(B,C),c)),ld(A,c)),ld(A,ld(B,A))) <->
% mult(C,mult(rd(ld(A,mult(rd(ld(B,mult(mult(rd(B,ld(B,A)),A),c)),ld(B,c)),c)),
% ld(A,c)),ld(A,ld(B,ld(B,A)))))
% Current number of equations to process: 4163
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [112]
% mult(C,mult(rd(ld(A,mult(rd(ld(B,mult(mult(rd(B,ld(B,A)),A),c)),ld(B,c)),c)),
% ld(A,c)),ld(A,ld(B,ld(B,A))))) <->
% mult(rd(ld(A,mult(mult(B,C),c)),ld(A,c)),ld(A,ld(B,A)))
% Current number of equations to process: 4163
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [113] rd(ld(A,mult(rd(mult(A,mult(B,ld(A,C))),C),A)),ld(A,A)) -> B
% Current number of equations to process: 4329
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [114] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,ld(A,V_3))),V_3)
% Current number of equations to process: 4378
% Current number of ordered equations: 1
% Current number of rules: 101
% Rule [114]
% rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,ld(A,V_3))),V_3) is composed into 
% [114] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,c)),mult(A,c))
% Rule [23] mult(rd(A,A),B) <-> rd(mult(A,mult(B,ld(A,C))),C) is composed into 
% [23] mult(rd(A,A),B) <-> rd(mult(A,mult(B,C)),mult(A,C))
% New rule produced :
% [115] rd(mult(A,mult(B,ld(A,V_3))),V_3) <-> rd(mult(A,mult(B,C)),mult(A,C))
% Rule [24] rd(mult(A,mult(B,ld(A,C))),C) <-> mult(rd(A,A),B) collapsed.
% Rule [66] rd(rd(mult(A,mult(B,ld(A,C))),C),B) -> rd(A,A) collapsed.
% Rule [113] rd(ld(A,mult(rd(mult(A,mult(B,ld(A,C))),C),A)),ld(A,A)) -> B
% collapsed.
% Current number of equations to process: 4378
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [116] rd(ld(A,mult(mult(rd(A,B),C),B)),ld(B,B)) -> C
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [117] rd(mult(A,mult(B,ld(C,C))),C) <-> mult(rd(mult(rd(A,A),B),C),A)
% Current number of equations to process: 4594
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [118] mult(rd(mult(rd(A,A),B),C),A) <-> rd(mult(A,mult(B,ld(C,C))),C)
% Current number of equations to process: 4594
% Current number of ordered equations: 0
% Current number of rules: 102
% Rule [117] rd(mult(A,mult(B,ld(C,C))),C) <-> mult(rd(mult(rd(A,A),B),C),A) is composed into 
% [117] rd(mult(A,mult(B,ld(C,C))),C) <-> mult(rd(A,C),B)
% New rule produced : [119] mult(rd(mult(rd(A,A),C),B),A) -> mult(rd(A,B),C)
% Rule [118] mult(rd(mult(rd(A,A),B),C),A) <-> rd(mult(A,mult(B,ld(C,C))),C)
% collapsed.
% Current number of equations to process: 4612
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [120] rd(mult(rd(A,A),C),B) <-> rd(mult(rd(A,B),C),A)
% Current number of equations to process: 4667
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced : [121] rd(mult(rd(A,B),C),A) <-> rd(mult(rd(A,A),C),B)
% Current number of equations to process: 4667
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [122] mult(rd(mult(rd(A,B),C),A),B) -> mult(rd(A,A),C)
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [123] rd(mult(A,B),C) <-> rd(mult(rd(C,C),B),ld(A,C))
% Current number of equations to process: 4874
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced : [124] rd(mult(rd(C,C),B),ld(A,C)) <-> rd(mult(A,B),C)
% Current number of equations to process: 4874
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [125] mult(rd(C,C),B) <-> mult(rd(mult(A,B),C),ld(A,C))
% Current number of equations to process: 4936
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced : [126] mult(rd(mult(A,B),C),ld(A,C)) <-> mult(rd(C,C),B)
% Current number of equations to process: 4936
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [127] mult(rd(A,B),ld(C,B)) <-> mult(rd(B,B),ld(C,A))
% Current number of equations to process: 1655
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced : [128] mult(rd(B,B),ld(C,A)) <-> mult(rd(A,B),ld(C,B))
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [129] mult(rd(B,ld(A,mult(rd(B,B),C))),C) -> mult(A,B)
% Current number of equations to process: 1907
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [130] rd(mult(rd(B,B),ld(C,A)),ld(C,B)) -> rd(A,B)
% Current number of equations to process: 1906
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [131] rd(mult(rd(mult(A,B),C),ld(A,C)),B) -> rd(C,C)
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [132] rd(mult(rd(A,B),ld(C,B)),ld(C,A)) -> rd(B,B)
% Current number of equations to process: 1903
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [133] rd(B,ld(A,mult(rd(B,B),C))) -> rd(mult(A,B),C)
% Rule [129] mult(rd(B,ld(A,mult(rd(B,B),C))),C) -> mult(A,B) collapsed.
% Current number of equations to process: 1913
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [134] rd(mult(A,ld(B,C)),ld(B,mult(A,C))) -> rd(C,C)
% Current number of equations to process: 2110
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [135] rd(A,ld(B,mult(rd(A,ld(B,C)),C))) -> rd(C,C)
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [136]
% rd(mult(A,mult(B,ld(C,C))),C) <-> mult(rd(B,C),rd(ld(B,mult(A,B)),ld(B,B)))
% Current number of equations to process: 2293
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [137]
% mult(rd(B,C),rd(ld(B,mult(A,B)),ld(B,B))) <-> rd(mult(A,mult(B,ld(C,C))),C)
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [138] rd(A,mult(rd(A,B),ld(C,B))) <-> mult(rd(rd(A,B),rd(A,B)),C)
% Current number of equations to process: 2437
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [139] mult(rd(rd(A,B),rd(A,B)),C) <-> rd(A,mult(rd(A,B),ld(C,B)))
% Current number of equations to process: 2437
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [140] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,V_3),mult(A,ld(B,V_3)))
% Current number of equations to process: 2700
% Current number of ordered equations: 1
% Current number of rules: 122
% Rule [140]
% rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,V_3),mult(A,ld(B,V_3))) is composed into 
% [140] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,c)),mult(A,c))
% Rule [30] mult(rd(A,A),C) <-> rd(mult(A,B),mult(A,ld(C,B))) is composed into 
% [30] mult(rd(A,A),C) <-> rd(mult(A,mult(C,C)),mult(A,C))
% New rule produced :
% [141] rd(mult(A,V_3),mult(A,ld(B,V_3))) <-> rd(mult(A,mult(B,C)),mult(A,C))
% Rule [29] rd(mult(A,B),mult(A,ld(C,B))) <-> mult(rd(A,A),C) collapsed.
% Rule [70] rd(rd(mult(A,B),mult(A,ld(C,B))),C) -> rd(A,A) collapsed.
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [142] rd(mult(A,B),mult(rd(ld(C,mult(A,C)),ld(C,C)),ld(C,B))) -> C
% Current number of equations to process: 2949
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [143] mult(ld(B,rd(mult(mult(B,C),A),C)),ld(C,C)) -> A
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [144] ld(ld(A,rd(mult(mult(A,B),C),B)),C) -> ld(B,B)
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [145]
% rd(mult(A,ld(B,C)),mult(rd(ld(B,mult(A,c)),ld(B,c)),ld(B,ld(C,C)))) -> C
% Current number of equations to process: 3202
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [146] mult(A,mult(B,ld(C,ld(A,A)))) <-> mult(mult(rd(C,C),B),ld(C,A))
% Current number of equations to process: 3280
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [147] mult(mult(rd(C,C),B),ld(C,A)) <-> mult(A,mult(B,ld(C,ld(A,A))))
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [148] rd(mult(A,C),mult(A,ld(B,B))) <-> rd(mult(A,mult(B,ld(A,C))),B)
% Current number of equations to process: 3421
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [149] rd(mult(A,mult(B,ld(A,C))),B) <-> rd(mult(A,C),mult(A,ld(B,B)))
% Current number of equations to process: 3421
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [150] rd(mult(A,mult(B,ld(C,C))),B) <-> mult(rd(A,C),rd(C,ld(B,B)))
% Current number of equations to process: 3644
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [151] mult(rd(A,C),rd(C,ld(B,B))) <-> rd(mult(A,mult(B,ld(C,C))),B)
% Current number of equations to process: 3644
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [152] rd(mult(A,B),mult(A,ld(C,C))) <-> rd(mult(mult(rd(A,A),C),B),C)
% Current number of equations to process: 3882
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [153] rd(mult(mult(rd(A,A),C),B),C) <-> rd(mult(A,B),mult(A,ld(C,C)))
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [154] rd(mult(rd(A,ld(B,B)),ld(C,B)),ld(C,A)) -> B
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [155] ld(A,mult(mult(rd(A,B),C),B)) <-> mult(rd(B,ld(C,C)),ld(B,C))
% Current number of equations to process: 4146
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [156] mult(rd(B,ld(C,C)),ld(B,C)) <-> ld(A,mult(mult(rd(A,B),C),B))
% Current number of equations to process: 4146
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [157]
% rd(C,mult(rd(ld(A,mult(rd(ld(B,mult(mult(A,A),c)),ld(B,c)),c)),ld(A,c)),
% ld(A,ld(B,ld(A,B))))) <-> ld(A,rd(mult(B,C),ld(A,B)))
% Current number of equations to process: 4359
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [158]
% ld(A,rd(mult(B,C),ld(A,B))) <->
% rd(C,mult(rd(ld(A,mult(rd(ld(B,mult(mult(A,A),c)),ld(B,c)),c)),ld(A,c)),
% ld(A,ld(B,ld(A,B)))))
% Current number of equations to process: 4359
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [159] rd(mult(A,B),mult(C,ld(B,B))) <-> rd(mult(A,mult(B,ld(C,C))),C)
% Current number of equations to process: 4543
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [160] rd(mult(A,mult(B,ld(C,C))),C) <-> rd(mult(A,B),mult(C,ld(B,B)))
% Current number of equations to process: 4543
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [161] mult(rd(A,C),mult(C,ld(B,B))) <-> mult(rd(A,mult(B,ld(C,C))),B)
% Current number of equations to process: 4710
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [162] mult(rd(A,mult(B,ld(C,C))),B) <-> mult(rd(A,C),mult(C,ld(B,B)))
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [163] rd(A,ld(B,ld(C,mult(mult(rd(C,A),B),A)))) -> A
% Current number of equations to process: 1212
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [164] mult(A,ld(B,ld(C,mult(mult(rd(C,A),B),A)))) -> A
% Current number of equations to process: 1260
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [165] rd(ld(A,B),ld(A,ld(C,B))) <-> rd(ld(A,mult(C,A)),ld(A,A))
% Current number of equations to process: 1324
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [166] rd(ld(A,mult(C,A)),ld(A,A)) <-> rd(ld(A,B),ld(A,ld(C,B)))
% Current number of equations to process: 1324
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [167] mult(A,rd(mult(B,C),ld(V_3,B))) <-> rd(mult(mult(A,B),mult(V_3,C)),B)
% Current number of equations to process: 1448
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [168] rd(mult(mult(A,B),mult(V_3,C)),B) <-> mult(A,rd(mult(B,C),ld(V_3,B)))
% Current number of equations to process: 1448
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [169] mult(rd(A,B),rd(C,ld(V_3,B))) <-> rd(mult(A,mult(V_3,ld(B,C))),B)
% Current number of equations to process: 1768
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [170] rd(mult(A,mult(V_3,ld(B,C))),B) <-> mult(rd(A,B),rd(C,ld(V_3,B)))
% Current number of equations to process: 1768
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [171] ld(A,rd(mult(mult(A,B),C),B)) <-> rd(mult(B,ld(V_3,C)),ld(V_3,B))
% Current number of equations to process: 2036
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [172] rd(mult(B,ld(V_3,C)),ld(V_3,B)) <-> ld(A,rd(mult(mult(A,B),C),B))
% Current number of equations to process: 2036
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [173] rd(C,mult(ld(A,A),ld(B,B))) <-> rd(mult(mult(A,B),ld(A,C)),B)
% Current number of equations to process: 2265
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [174] rd(mult(mult(A,B),ld(A,C)),B) <-> rd(C,mult(ld(A,A),ld(B,B)))
% Current number of equations to process: 2265
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [175] rd(mult(rd(A,ld(B,C)),ld(C,C)),ld(C,A)) -> B
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [176] mult(rd(A,ld(B,B)),ld(C,B)) <-> mult(rd(A,ld(B,C)),ld(C,C))
% Current number of equations to process: 2513
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [177] mult(rd(A,ld(B,C)),ld(C,C)) <-> mult(rd(A,ld(B,B)),ld(C,B))
% Current number of equations to process: 2513
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [178] mult(A,ld(B,B)) <-> mult(rd(B,ld(A,C)),ld(B,C))
% Current number of equations to process: 2737
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced : [179] mult(rd(B,ld(A,C)),ld(B,C)) <-> mult(A,ld(B,B))
% Current number of equations to process: 2737
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [180] rd(B,ld(A,C)) <-> rd(mult(A,ld(B,B)),ld(B,C))
% Current number of equations to process: 2935
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced : [181] rd(mult(A,ld(B,B)),ld(B,C)) <-> rd(B,ld(A,C))
% Current number of equations to process: 2935
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [182] mult(rd(A,ld(B,mult(A,C))),C) <-> mult(B,ld(A,A))
% Current number of equations to process: 2933
% Current number of ordered equations: 3
% Current number of rules: 162
% New rule produced : [183] mult(B,ld(A,A)) <-> mult(rd(A,ld(B,mult(A,C))),C)
% Current number of equations to process: 2933
% Current number of ordered equations: 2
% Current number of rules: 163
% New rule produced : [184] mult(rd(A,B),ld(A,mult(C,B))) <-> mult(C,ld(A,A))
% Current number of equations to process: 2933
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced : [185] mult(C,ld(A,A)) <-> mult(rd(A,B),ld(A,mult(C,B)))
% Current number of equations to process: 2933
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [186] rd(B,ld(A,mult(B,C))) <-> rd(mult(A,ld(B,B)),C)
% Current number of equations to process: 3176
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced : [187] rd(mult(A,ld(B,B)),C) <-> rd(B,ld(A,mult(B,C)))
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [188] mult(rd(A,B),ld(A,C)) <-> mult(rd(C,B),ld(A,A))
% Current number of equations to process: 3534
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced : [189] mult(rd(C,B),ld(A,A)) <-> mult(rd(A,B),ld(A,C))
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [190] mult(rd(mult(A,C),B),ld(A,A)) -> mult(rd(A,B),C)
% Rule [93] mult(rd(mult(A,B),ld(C,A)),ld(A,A)) -> mult(C,B) collapsed.
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [191] rd(mult(rd(A,B),C),ld(A,A)) -> rd(mult(A,C),B)
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [192] rd(mult(C,ld(A,A)),ld(A,mult(C,B))) -> rd(A,B)
% Current number of equations to process: 4502
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [193] ld(B,B) <-> ld(A,mult(rd(B,ld(A,mult(B,C))),C))
% Current number of equations to process: 4501
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced : [194] ld(A,mult(rd(B,ld(A,mult(B,C))),C)) <-> ld(B,B)
% Current number of equations to process: 4501
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [195] rd(mult(rd(A,B),ld(C,C)),ld(C,A)) -> rd(C,B)
% Rule [175] rd(mult(rd(A,ld(B,C)),ld(C,C)),ld(C,A)) -> B collapsed.
% Current number of equations to process: 4499
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [196] rd(A,ld(B,mult(rd(A,ld(B,B)),C))) -> rd(B,C)
% Current number of equations to process: 4544
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [197] mult(mult(A,rd(V_3,ld(C,B))),B) <-> mult(mult(A,B),mult(C,ld(B,V_3)))
% Current number of equations to process: 1191
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [198] mult(mult(A,B),mult(C,ld(B,V_3))) <-> mult(mult(A,rd(V_3,ld(C,B))),B)
% Current number of equations to process: 1191
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [199] rd(mult(A,C),mult(A,ld(B,A))) <-> rd(mult(A,mult(B,ld(A,C))),A)
% Current number of equations to process: 1534
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [200] rd(mult(A,mult(B,ld(A,C))),A) <-> rd(mult(A,C),mult(A,ld(B,A)))
% Current number of equations to process: 1534
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [201] mult(rd(A,rd(V_3,ld(C,B))),B) <-> rd(mult(A,B),mult(C,ld(B,V_3)))
% Current number of equations to process: 1772
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [202] rd(mult(A,B),mult(C,ld(B,V_3))) <-> mult(rd(A,rd(V_3,ld(C,B))),B)
% Current number of equations to process: 1772
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [203] mult(mult(rd(A,A),B),ld(A,A)) <-> mult(C,mult(B,ld(A,ld(C,A))))
% Current number of equations to process: 2136
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [204] mult(C,mult(B,ld(A,ld(C,A)))) <-> mult(mult(rd(A,A),B),ld(A,A))
% Current number of equations to process: 2136
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [205] rd(A,mult(rd(A,B),ld(B,B))) -> rd(mult(rd(A,B),mult(B,B)),A)
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [206] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,V_3)),mult(A,V_3))
% Rule
% [114] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,c)),mult(A,c))
% collapsed.
% Rule
% [140] 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: 2398
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [207] mult(rd(A,B),mult(C,ld(B,B))) <-> mult(mult(rd(rd(A,A),B),C),A)
% Current number of equations to process: 2602
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [208] mult(mult(rd(rd(A,A),B),C),A) <-> mult(rd(A,B),mult(C,ld(B,B)))
% Current number of equations to process: 2602
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [209] rd(mult(mult(A,B),C),ld(C,C)) <-> mult(rd(C,ld(A,rd(C,C))),B)
% Current number of equations to process: 2897
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [210] mult(rd(C,ld(A,rd(C,C))),B) <-> rd(mult(mult(A,B),C),ld(C,C))
% Current number of equations to process: 2897
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [211] rd(mult(A,B),ld(B,mult(C,B))) <-> mult(rd(B,ld(C,C)),ld(C,A))
% Current number of equations to process: 3201
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [212] mult(rd(B,ld(C,C)),ld(C,A)) <-> rd(mult(A,B),ld(B,mult(C,B)))
% Current number of equations to process: 3201
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [213] mult(rd(A,A),mult(rd(B,C),A)) <-> mult(rd(A,mult(rd(A,A),C)),B)
% Current number of equations to process: 3452
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [214] mult(rd(A,mult(rd(A,A),C)),B) <-> mult(rd(A,A),mult(rd(B,C),A))
% Current number of equations to process: 3452
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [215] rd(mult(rd(A,V_3),rd(B,C)),A) -> rd(rd(mult(A,B),mult(A,C)),V_3)
% Current number of equations to process: 3834
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [216] mult(rd(rd(A,B),rd(A,B)),C) <-> rd(mult(rd(A,A),mult(C,B)),B)
% Current number of equations to process: 4077
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [217] rd(mult(rd(A,A),mult(C,B)),B) <-> mult(rd(rd(A,B),rd(A,B)),C)
% Current number of equations to process: 4077
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [218] mult(mult(rd(rd(A,B),A),C),B) <-> mult(rd(A,A),mult(C,ld(A,A)))
% Current number of equations to process: 4521
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [219] mult(rd(A,A),mult(C,ld(A,A))) <-> mult(mult(rd(rd(A,B),A),C),B)
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [220] mult(rd(mult(A,C),mult(A,C)),B) <-> mult(rd(mult(A,B),mult(A,C)),C)
% Current number of equations to process: 4860
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [221] mult(rd(mult(A,B),mult(A,C)),C) <-> mult(rd(mult(A,C),mult(A,C)),B)
% Current number of equations to process: 4860
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [222] mult(rd(A,B),rd(mult(B,C),B)) <-> rd(mult(A,mult(rd(B,B),C)),B)
% Current number of equations to process: 1129
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [223] rd(mult(A,mult(rd(B,B),C)),B) <-> mult(rd(A,B),rd(mult(B,C),B))
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [224] mult(A,ld(C,mult(rd(C,C),B))) <-> mult(rd(mult(A,B),C),ld(C,C))
% Current number of equations to process: 1501
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [225] mult(rd(mult(A,B),C),ld(C,C)) <-> mult(A,ld(C,mult(rd(C,C),B)))
% Current number of equations to process: 1501
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [226] rd(mult(A,mult(B,C)),mult(A,C)) <-> mult(rd(mult(V_3,B),A),ld(V_3,A))
% Current number of equations to process: 1871
% Current number of ordered equations: 1
% Current number of rules: 202
% Rule [226]
% rd(mult(A,mult(B,C)),mult(A,C)) <-> mult(rd(mult(V_3,B),A),ld(V_3,A)) is composed into 
% [226] rd(mult(A,mult(B,C)),mult(A,C)) <-> rd(mult(A,mult(B,c)),mult(A,c))
% Rule [125] mult(rd(C,C),B) <-> mult(rd(mult(A,B),C),ld(A,C)) is composed into 
% [125] mult(rd(C,C),B) <-> rd(mult(C,mult(B,C)),mult(C,C))
% New rule produced :
% [227] mult(rd(mult(V_3,B),A),ld(V_3,A)) <-> rd(mult(A,mult(B,C)),mult(A,C))
% Rule [126] mult(rd(mult(A,B),C),ld(A,C)) <-> mult(rd(C,C),B) collapsed.
% Rule [131] rd(mult(rd(mult(A,B),C),ld(A,C)),B) -> rd(C,C) collapsed.
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [228] mult(rd(B,B),mult(C,ld(B,B))) <-> mult(mult(rd(A,B),C),ld(A,B))
% Current number of equations to process: 2278
% Current number of ordered equations: 1
% Current number of rules: 202
% Rule [204] mult(C,mult(B,ld(A,ld(C,A)))) <-> mult(mult(rd(A,A),B),ld(A,A)) is composed into 
% [204] mult(C,mult(B,ld(A,ld(C,A)))) <-> mult(rd(A,A),mult(B,ld(A,A)))
% New rule produced :
% [229] mult(mult(rd(A,B),C),ld(A,B)) <-> mult(rd(B,B),mult(C,ld(B,B)))
% Rule [203] mult(mult(rd(A,A),B),ld(A,A)) <-> mult(C,mult(B,ld(A,ld(C,A))))
% collapsed.
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [230] mult(mult(A,rd(mult(B,C),B)),B) -> mult(mult(A,B),mult(rd(B,B),C))
% Current number of equations to process: 2580
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [231] mult(rd(A,rd(mult(B,C),B)),B) -> rd(mult(A,B),mult(rd(B,B),C))
% Current number of equations to process: 2826
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [232] rd(mult(A,mult(rd(B,B),C)),B) <-> rd(mult(A,mult(A,C)),mult(A,B))
% Current number of equations to process: 3093
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [233] rd(mult(A,mult(A,C)),mult(A,B)) <-> rd(mult(A,mult(rd(B,B),C)),B)
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [234] mult(A,mult(rd(B,B),ld(A,C))) <-> mult(rd(mult(A,C),mult(A,B)),B)
% Current number of equations to process: 3494
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [235] mult(rd(mult(A,C),mult(A,B)),B) <-> mult(A,mult(rd(B,B),ld(A,C)))
% Current number of equations to process: 3494
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [236] mult(A,mult(rd(B,B),ld(B,C))) <-> mult(mult(rd(A,B),rd(C,B)),B)
% Current number of equations to process: 3959
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [237] mult(mult(rd(A,B),rd(C,B)),B) <-> mult(A,mult(rd(B,B),ld(B,C)))
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [238] mult(mult(rd(A,A),ld(B,C)),A) <-> mult(C,mult(ld(B,A),ld(A,A)))
% Current number of equations to process: 4423
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [239] mult(C,mult(ld(B,A),ld(A,A))) <-> mult(mult(rd(A,A),ld(B,C)),A)
% Current number of equations to process: 4423
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [240] rd(A,mult(rd(B,B),ld(B,C))) <-> mult(rd(rd(A,B),rd(C,B)),B)
% Current number of equations to process: 4760
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [241] mult(rd(rd(A,B),rd(C,B)),B) <-> rd(A,mult(rd(B,B),ld(B,C)))
% Current number of equations to process: 4760
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [242] rd(mult(rd(A,A),ld(B,C)),C) <-> rd(mult(rd(C,C),ld(B,A)),A)
% Current number of equations to process: 1294
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [243] mult(A,mult(rd(B,C),ld(A,C))) <-> mult(rd(mult(A,C),mult(A,C)),B)
% Current number of equations to process: 1411
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [244] mult(rd(mult(A,C),mult(A,C)),B) <-> mult(A,mult(rd(B,C),ld(A,C)))
% Current number of equations to process: 1411
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [245] mult(B,mult(ld(C,A),ld(B,V_3))) <-> mult(mult(rd(A,B),ld(C,B)),V_3)
% Current number of equations to process: 1942
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [246] mult(mult(rd(A,B),ld(C,B)),V_3) <-> mult(B,mult(ld(C,A),ld(B,V_3)))
% Current number of equations to process: 1942
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [247] mult(A,mult(rd(B,C),ld(B,C))) <-> mult(mult(rd(A,B),rd(C,C)),B)
% Current number of equations to process: 2312
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [248] mult(mult(rd(A,B),rd(C,C)),B) <-> mult(A,mult(rd(B,C),ld(B,C)))
% Current number of equations to process: 2312
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [249] rd(A,mult(rd(B,C),ld(B,C))) <-> mult(rd(rd(A,B),rd(C,C)),B)
% Current number of equations to process: 2745
% Current number of ordered equations: 1
% Current number of rules: 222
% New rule produced :
% [250] mult(rd(rd(A,B),rd(C,C)),B) <-> rd(A,mult(rd(B,C),ld(B,C)))
% Current number of equations to process: 2745
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [251] rd(mult(rd(A,B),ld(C,B)),V_3) <-> rd(mult(rd(B,V_3),ld(C,A)),B)
% Current number of equations to process: 3128
% Current number of ordered equations: 1
% Current number of rules: 224
% New rule produced :
% [252] rd(mult(rd(B,V_3),ld(C,A)),B) <-> rd(mult(rd(A,B),ld(C,B)),V_3)
% Current number of equations to process: 3128
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [253] mult(rd(mult(A,B),C),ld(A,mult(rd(B,B),C))) -> B
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [254] rd(A,mult(rd(B,B),ld(C,A))) <-> mult(rd(rd(A,B),rd(A,B)),C)
% Current number of equations to process: 3700
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [255] mult(rd(rd(A,B),rd(A,B)),C) <-> rd(A,mult(rd(B,B),ld(C,A)))
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 228
% Rule [139] mult(rd(rd(A,B),rd(A,B)),C) <-> rd(A,mult(rd(A,B),ld(C,B))) is composed into 
% [139] mult(rd(rd(A,B),rd(A,B)),C) <-> rd(mult(rd(A,B),mult(C,B)),A)
% New rule produced :
% [256] rd(A,mult(rd(A,B),ld(C,B))) -> rd(mult(rd(A,B),mult(C,B)),A)
% Rule [138] rd(A,mult(rd(A,B),ld(C,B))) <-> mult(rd(rd(A,B),rd(A,B)),C)
% collapsed.
% Rule [205] rd(A,mult(rd(A,B),ld(B,B))) -> rd(mult(rd(A,B),mult(B,B)),A)
% collapsed.
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [257] mult(A,mult(B,ld(A,ld(A,C)))) <-> mult(C,mult(B,ld(A,ld(C,C))))
% Current number of equations to process: 4302
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [258] mult(C,mult(B,ld(A,ld(C,C)))) <-> mult(A,mult(B,ld(A,ld(A,C))))
% Current number of equations to process: 4302
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [259] rd(mult(A,mult(C,ld(A,B))),C) <-> mult(rd(rd(mult(A,B),C),A),C)
% Current number of equations to process: 4566
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [260] mult(rd(rd(mult(A,B),C),A),C) <-> rd(mult(A,mult(C,ld(A,B))),C)
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [261] rd(mult(mult(rd(A,A),C),B),C) <-> mult(rd(rd(mult(A,B),C),A),C)
% Current number of equations to process: 971
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [262] mult(rd(rd(mult(A,B),C),A),C) <-> rd(mult(mult(rd(A,A),C),B),C)
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [263] rd(A,ld(B,ld(C,mult(B,A)))) -> rd(ld(B,mult(C,B)),ld(B,B))
% Rule [95] rd(A,rd(B,ld(C,ld(A,mult(C,B))))) -> rd(C,C) collapsed.
% Current number of equations to process: 1452
% Current number of ordered equations: 2
% Current number of rules: 233
% New rule produced :
% [264] rd(ld(A,mult(B,C)),ld(A,C)) <-> rd(ld(A,mult(B,A)),ld(A,A))
% Current number of equations to process: 1452
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [265] rd(ld(A,mult(B,A)),ld(A,A)) <-> rd(ld(A,mult(B,C)),ld(A,C))
% Current number of equations to process: 1452
% Current number of ordered equations: 0
% Current number of rules: 235
% Rule [166] rd(ld(A,mult(C,A)),ld(A,A)) <-> rd(ld(A,B),ld(A,ld(C,B))) is composed into 
% [166] rd(ld(A,mult(C,A)),ld(A,A)) <-> rd(ld(A,mult(C,c)),ld(A,c))
% New rule produced :
% [266] rd(ld(A,C),ld(A,ld(B,C))) -> rd(ld(A,mult(B,c)),ld(A,c))
% Rule [96] rd(A,rd(ld(B,C),ld(B,ld(A,C)))) -> rd(B,B) collapsed.
% Rule [165] rd(ld(A,B),ld(A,ld(C,B))) <-> rd(ld(A,mult(C,A)),ld(A,A))
% collapsed.
% Current number of equations to process: 1756
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [267] rd(mult(A,C),mult(A,ld(B,A))) <-> rd(mult(mult(rd(A,A),B),C),A)
% Current number of equations to process: 1830
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [268] rd(mult(mult(rd(A,A),B),C),A) <-> rd(mult(A,C),mult(A,ld(B,A)))
% Current number of equations to process: 1830
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [269] rd(mult(A,ld(B,C)),ld(B,A)) <-> rd(mult(A,ld(V_3,C)),ld(V_3,A))
% Current number of equations to process: 2175
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [270] rd(mult(mult(C,B),ld(C,A)),B) <-> mult(rd(rd(A,B),ld(C,C)),B)
% Current number of equations to process: 2328
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [271] mult(rd(rd(A,B),ld(C,C)),B) <-> rd(mult(mult(C,B),ld(C,A)),B)
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [272] rd(B,mult(ld(A,A),ld(C,C))) <-> mult(A,rd(ld(A,B),ld(C,C)))
% Current number of equations to process: 2765
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [273] mult(A,rd(ld(A,B),ld(C,C))) <-> rd(B,mult(ld(A,A),ld(C,C)))
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [274] ld(A,mult(mult(rd(A,B),C),B)) <-> mult(rd(B,ld(C,V_3)),ld(B,V_3))
% Rule [155] ld(A,mult(mult(rd(A,B),C),B)) <-> mult(rd(B,ld(C,C)),ld(B,C))
% collapsed.
% Current number of equations to process: 3000
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [275] mult(rd(B,ld(C,V_3)),ld(B,V_3)) <-> ld(A,mult(mult(rd(A,B),C),B))
% Rule [156] mult(rd(B,ld(C,C)),ld(B,C)) <-> ld(A,mult(mult(rd(A,B),C),B))
% collapsed.
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [276] mult(rd(A,ld(B,B)),ld(A,B)) <-> mult(rd(A,ld(B,C)),ld(A,C))
% Current number of equations to process: 3449
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [277] mult(rd(A,ld(B,C)),ld(A,C)) <-> mult(rd(A,ld(B,B)),ld(A,B))
% Current number of equations to process: 3449
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [278] mult(rd(mult(A,ld(B,B)),ld(B,C)),ld(A,C)) -> B
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [279] rd(mult(A,ld(C,C)),ld(C,B)) <-> rd(mult(A,ld(B,C)),ld(B,B))
% Current number of equations to process: 3813
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [280] rd(mult(A,ld(B,C)),ld(B,B)) <-> rd(mult(A,ld(C,C)),ld(C,B))
% Current number of equations to process: 3813
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [281] rd(mult(A,B),ld(B,mult(C,B))) <-> mult(rd(B,ld(A,C)),ld(A,A))
% Current number of equations to process: 4135
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [282] mult(rd(B,ld(A,C)),ld(A,A)) <-> rd(mult(A,B),ld(B,mult(C,B)))
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [283] mult(C,rd(ld(A,A),ld(B,B))) <-> mult(rd(rd(A,B),ld(C,A)),B)
% Current number of equations to process: 4527
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [284] mult(rd(rd(A,B),ld(C,A)),B) <-> mult(C,rd(ld(A,A),ld(B,B)))
% Current number of equations to process: 4527
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [285] ld(A,mult(mult(rd(A,B),C),B)) <-> mult(rd(B,ld(C,mult(B,V_3))),V_3)
% Current number of equations to process: 4959
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [286] mult(rd(B,ld(C,mult(B,V_3))),V_3) <-> ld(A,mult(mult(rd(A,B),C),B))
% Current number of equations to process: 4959
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [287] mult(rd(A,ld(B,mult(A,C))),C) <-> mult(rd(A,ld(B,B)),ld(A,B))
% Current number of equations to process: 1908
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [288] mult(rd(A,ld(B,B)),ld(A,B)) <-> mult(rd(A,ld(B,mult(A,C))),C)
% Current number of equations to process: 1908
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [289] mult(rd(A,ld(B,mult(A,V_3))),V_3) <-> mult(rd(A,ld(B,C)),ld(A,C))
% Rule [287] mult(rd(A,ld(B,mult(A,C))),C) <-> mult(rd(A,ld(B,B)),ld(A,B))
% collapsed.
% Current number of equations to process: 2181
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [290] mult(rd(A,ld(B,C)),ld(A,C)) <-> mult(rd(A,ld(B,mult(A,V_3))),V_3)
% Rule [288] mult(rd(A,ld(B,B)),ld(A,B)) <-> mult(rd(A,ld(B,mult(A,C))),C)
% collapsed.
% Current number of equations to process: 2181
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [291] mult(rd(A,B),mult(C,ld(A,B))) <-> mult(rd(A,A),mult(C,ld(A,A)))
% Current number of equations to process: 2495
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [292] mult(rd(A,A),mult(C,ld(A,A))) <-> mult(rd(A,B),mult(C,ld(A,B)))
% Current number of equations to process: 2495
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [293] mult(rd(A,B),mult(C,ld(B,B))) <-> mult(mult(rd(A,B),C),ld(A,A))
% Current number of equations to process: 2841
% Current number of ordered equations: 3
% Current number of rules: 257
% New rule produced :
% [294] ld(A,mult(mult(B,ld(A,A)),C)) <-> mult(ld(A,mult(B,C)),ld(C,C))
% Current number of equations to process: 2841
% Current number of ordered equations: 2
% Current number of rules: 258
% New rule produced :
% [295] mult(mult(rd(A,B),C),ld(A,A)) <-> mult(rd(A,B),mult(C,ld(B,B)))
% Current number of equations to process: 2841
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [296] mult(ld(A,mult(B,C)),ld(C,C)) <-> ld(A,mult(mult(B,ld(A,A)),C))
% Current number of equations to process: 2841
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [297] mult(rd(B,B),ld(B,mult(A,C))) <-> mult(rd(mult(A,ld(B,B)),B),C)
% Current number of equations to process: 3595
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [298] mult(rd(mult(A,ld(B,B)),B),C) <-> mult(rd(B,B),ld(B,mult(A,C)))
% Current number of equations to process: 3595
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [299] mult(rd(B,V_3),ld(B,mult(C,V_3))) <-> ld(A,mult(mult(rd(A,B),C),B))
% Current number of equations to process: 4036
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [300] ld(A,mult(mult(rd(A,B),C),B)) <-> mult(rd(B,V_3),ld(B,mult(C,V_3)))
% Current number of equations to process: 4036
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [301] mult(rd(A,C),ld(A,mult(B,C))) <-> mult(rd(A,ld(B,B)),ld(A,B))
% Current number of equations to process: 4499
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [302] mult(rd(A,ld(B,B)),ld(A,B)) <-> mult(rd(A,C),ld(A,mult(B,C)))
% Current number of equations to process: 4499
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [303] mult(A,mult(B,ld(A,ld(A,A)))) <-> mult(rd(A,C),mult(B,ld(A,C)))
% Current number of equations to process: 4750
% Current number of ordered equations: 1
% Current number of rules: 267
% New rule produced :
% [304] mult(rd(A,C),mult(B,ld(A,C))) <-> mult(A,mult(B,ld(A,ld(A,A))))
% Current number of equations to process: 4750
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [305] mult(rd(A,V_3),ld(A,mult(B,V_3))) <-> mult(rd(A,ld(B,C)),ld(A,C))
% Rule [301] mult(rd(A,C),ld(A,mult(B,C))) <-> mult(rd(A,ld(B,B)),ld(A,B))
% collapsed.
% Current number of equations to process: 1283
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [306] mult(rd(A,ld(B,C)),ld(A,C)) <-> mult(rd(A,V_3),ld(A,mult(B,V_3)))
% Rule [302] mult(rd(A,ld(B,B)),ld(A,B)) <-> mult(rd(A,C),ld(A,mult(B,C)))
% collapsed.
% Current number of equations to process: 1283
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [307] mult(rd(A,ld(B,mult(A,C))),C) <-> mult(rd(A,V_3),ld(A,mult(B,V_3)))
% Current number of equations to process: 1587
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [308] mult(rd(A,V_3),ld(A,mult(B,V_3))) <-> mult(rd(A,ld(B,mult(A,C))),C)
% Current number of equations to process: 1587
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [309] mult(rd(mult(A,ld(B,B)),C),ld(A,mult(B,C))) -> B
% Current number of equations to process: 1931
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [310] rd(B,mult(ld(A,B),ld(C,C))) <-> mult(A,rd(ld(B,B),ld(C,C)))
% Current number of equations to process: 2056
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [311] mult(A,rd(ld(B,B),ld(C,C))) <-> rd(B,mult(ld(A,B),ld(C,C)))
% Current number of equations to process: 2056
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [312] mult(rd(mult(A,A),mult(A,C)),B) <-> mult(A,mult(rd(B,C),ld(A,A)))
% Current number of equations to process: 2307
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [313] mult(A,mult(rd(B,C),ld(A,A))) <-> mult(rd(mult(A,A),mult(A,C)),B)
% Current number of equations to process: 2307
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [314] mult(mult(rd(A,B),ld(C,C)),B) <-> mult(C,mult(ld(C,A),ld(B,B)))
% Current number of equations to process: 2937
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [315] mult(C,mult(ld(C,A),ld(B,B))) <-> mult(mult(rd(A,B),ld(C,C)),B)
% Current number of equations to process: 2937
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [316] rd(mult(rd(A,B),ld(C,C)),C) <-> rd(mult(rd(C,C),ld(C,A)),B)
% Current number of equations to process: 3387
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced :
% [317] rd(mult(rd(C,C),ld(C,A)),B) <-> rd(mult(rd(A,B),ld(C,C)),C)
% Current number of equations to process: 3387
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [318] rd(A,mult(rd(B,B),ld(A,A))) <-> rd(mult(rd(A,B),mult(A,B)),A)
% Current number of equations to process: 3764
% Current number of ordered equations: 1
% Current number of rules: 280
% New rule produced :
% [319] rd(mult(rd(A,B),mult(A,B)),A) <-> rd(A,mult(rd(B,B),ld(A,A)))
% Current number of equations to process: 3764
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [320] mult(A,mult(rd(A,B),ld(A,C))) <-> mult(rd(mult(A,C),mult(A,B)),A)
% Current number of equations to process: 4184
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [321] mult(rd(mult(A,C),mult(A,B)),A) <-> mult(A,mult(rd(A,B),ld(A,C)))
% Current number of equations to process: 4184
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [322] mult(mult(rd(A,B),rd(V_3,C)),B) <-> mult(A,mult(rd(B,C),ld(B,V_3)))
% Rule [237] mult(mult(rd(A,B),rd(C,B)),B) <-> mult(A,mult(rd(B,B),ld(B,C)))
% collapsed.
% Rule [248] mult(mult(rd(A,B),rd(C,C)),B) <-> mult(A,mult(rd(B,C),ld(B,C)))
% collapsed.
% Current number of equations to process: 4839
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [323] mult(A,mult(rd(B,C),ld(B,V_3))) <-> mult(mult(rd(A,B),rd(V_3,C)),B)
% Rule [236] mult(A,mult(rd(B,B),ld(B,C))) <-> mult(mult(rd(A,B),rd(C,B)),B)
% collapsed.
% Rule [247] mult(A,mult(rd(B,C),ld(B,C))) <-> mult(mult(rd(A,B),rd(C,C)),B)
% collapsed.
% Current number of equations to process: 4839
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [324] mult(C,mult(ld(A,A),ld(B,B))) <-> mult(mult(rd(A,B),ld(A,C)),B)
% Current number of equations to process: 2095
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [325] mult(mult(rd(A,B),ld(A,C)),B) <-> mult(C,mult(ld(A,A),ld(B,B)))
% Current number of equations to process: 2095
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [326] rd(A,mult(rd(B,C),ld(B,V_3))) <-> mult(rd(rd(A,B),rd(V_3,C)),B)
% Rule [240] rd(A,mult(rd(B,B),ld(B,C))) <-> mult(rd(rd(A,B),rd(C,B)),B)
% collapsed.
% Rule [249] rd(A,mult(rd(B,C),ld(B,C))) <-> mult(rd(rd(A,B),rd(C,C)),B)
% collapsed.
% Current number of equations to process: 2568
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [327] mult(rd(rd(A,B),rd(V_3,C)),B) <-> rd(A,mult(rd(B,C),ld(B,V_3)))
% Rule [241] mult(rd(rd(A,B),rd(C,B)),B) <-> rd(A,mult(rd(B,B),ld(B,C)))
% collapsed.
% Rule [250] mult(rd(rd(A,B),rd(C,C)),B) <-> rd(A,mult(rd(B,C),ld(B,C)))
% collapsed.
% Current number of equations to process: 2568
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [328] rd(mult(rd(A,B),ld(A,C)),C) <-> rd(mult(rd(C,C),ld(A,A)),B)
% Current number of equations to process: 3187
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [329] rd(mult(rd(C,C),ld(A,A)),B) <-> rd(mult(rd(A,B),ld(A,C)),C)
% Current number of equations to process: 3187
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [330] mult(rd(A,B),rd(mult(B,V_3),C)) <-> rd(mult(A,mult(rd(B,C),V_3)),B)
% Rule [222] mult(rd(A,B),rd(mult(B,C),B)) <-> rd(mult(A,mult(rd(B,B),C)),B)
% collapsed.
% Current number of equations to process: 3516
% Current number of ordered equations: 1
% Current number of rules: 283
% New rule produced :
% [331] rd(mult(A,mult(rd(B,C),V_3)),B) <-> mult(rd(A,B),rd(mult(B,V_3),C))
% Rule [223] rd(mult(A,mult(rd(B,B),C)),B) <-> mult(rd(A,B),rd(mult(B,C),B))
% collapsed.
% Current number of equations to process: 3516
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [332] mult(mult(A,rd(mult(B,V_3),C)),B) -> mult(mult(A,B),mult(rd(B,C),V_3))
% Rule [230] mult(mult(A,rd(mult(B,C),B)),B) -> mult(mult(A,B),mult(rd(B,B),C))
% collapsed.
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [333] mult(rd(A,A),mult(B,ld(A,A))) <-> mult(rd(A,mult(A,C)),mult(B,C))
% Current number of equations to process: 4746
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [334] mult(rd(A,mult(A,C)),mult(B,C)) <-> mult(rd(A,A),mult(B,ld(A,A)))
% Current number of equations to process: 4746
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [335] mult(rd(A,rd(mult(B,V_3),C)),B) -> rd(mult(A,B),mult(rd(B,C),V_3))
% Rule [231] mult(rd(A,rd(mult(B,C),B)),B) -> rd(mult(A,B),mult(rd(B,B),C))
% collapsed.
% Current number of equations to process: 2649
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [336] mult(rd(B,ld(C,C)),ld(C,A)) <-> mult(rd(A,ld(B,C)),ld(B,B))
% Current number of equations to process: 3114
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [337] mult(rd(A,ld(B,C)),ld(B,B)) <-> mult(rd(B,ld(C,C)),ld(C,A))
% Current number of equations to process: 3114
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [338] mult(rd(A,mult(A,c)),mult(B,c)) <-> mult(rd(A,mult(A,C)),mult(B,C))
% Current number of equations to process: 3592
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [339] mult(rd(A,mult(A,C)),mult(B,C)) <-> mult(rd(A,mult(A,c)),mult(B,c))
% Current number of equations to process: 3592
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [340] mult(rd(A,V_3),mult(C,ld(A,V_3))) <-> mult(rd(A,mult(A,B)),mult(C,B))
% Rule [333] mult(rd(A,A),mult(B,ld(A,A))) <-> mult(rd(A,mult(A,C)),mult(B,C))
% collapsed.
% Current number of equations to process: 4152
% Current number of ordered equations: 2
% Current number of rules: 289
% New rule produced :
% [341] mult(rd(A,mult(A,B)),mult(C,B)) <-> mult(rd(A,V_3),mult(C,ld(A,V_3)))
% Rule [334] mult(rd(A,mult(A,C)),mult(B,C)) <-> mult(rd(A,A),mult(B,ld(A,A)))
% collapsed.
% Current number of equations to process: 4152
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [342] rd(mult(A,mult(rd(A,B),C)),A) -> rd(mult(A,mult(A,C)),mult(A,B))
% Current number of equations to process: 4403
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [343] rd(mult(rd(A,C),B),mult(A,B)) <-> rd(mult(rd(A,mult(A,B)),B),C)
% Current number of equations to process: 2453
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [344] rd(mult(rd(A,mult(A,B)),B),C) <-> rd(mult(rd(A,C),B),mult(A,B))
% Current number of equations to process: 2453
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [345] mult(rd(A,mult(A,ld(C,V_3))),V_3) <-> mult(rd(A,mult(A,B)),mult(C,B))
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [346] mult(rd(A,B),mult(B,ld(A,C))) <-> mult(rd(A,mult(A,ld(B,B))),C)
% Current number of equations to process: 3420
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [347] mult(rd(A,mult(A,ld(B,B))),C) <-> mult(rd(A,B),mult(B,ld(A,C)))
% Current number of equations to process: 3420
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [348] mult(rd(B,ld(A,C)),ld(A,A)) <-> mult(rd(A,ld(B,C)),ld(B,B))
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [349] rd(rd(mult(A,B),C),ld(A,A)) <-> rd(mult(A,rd(B,ld(C,C))),C)
% Current number of equations to process: 4259
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [350] rd(mult(A,rd(B,ld(C,C))),C) <-> rd(rd(mult(A,B),C),ld(A,A))
% Current number of equations to process: 4259
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [351] rd(mult(C,ld(B,B)),ld(A,B)) <-> rd(mult(A,ld(B,C)),ld(C,C))
% Current number of equations to process: 4615
% Current number of ordered equations: 1
% Current number of rules: 299
% New rule produced :
% [352] rd(mult(A,ld(B,C)),ld(C,C)) <-> rd(mult(C,ld(B,B)),ld(A,B))
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [353] rd(mult(A,B),mult(B,ld(C,C))) <-> rd(mult(A,mult(C,ld(B,B))),C)
% Current number of equations to process: 4979
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [354] rd(mult(A,mult(C,ld(B,B))),C) <-> rd(mult(A,B),mult(B,ld(C,C)))
% Current number of equations to process: 4979
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [355] rd(mult(A,ld(B,B)),ld(C,B)) <-> rd(mult(A,ld(B,C)),ld(C,C))
% Current number of equations to process: 1712
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [356] rd(mult(A,ld(B,C)),ld(C,C)) <-> rd(mult(A,ld(B,B)),ld(C,B))
% Current number of equations to process: 1712
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced : [357] rd(A,ld(B,mult(rd(A,ld(B,mult(A,C))),C))) -> A
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced : [358] mult(A,ld(B,mult(rd(A,ld(B,mult(A,C))),C))) -> A
% Current number of equations to process: 2225
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [359] mult(rd(A,A),mult(B,ld(A,C))) <-> mult(rd(A,mult(A,ld(B,A))),C)
% Current number of equations to process: 2425
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [360] mult(rd(A,mult(A,ld(B,A))),C) <-> mult(rd(A,A),mult(B,ld(A,C)))
% Current number of equations to process: 2425
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [361] mult(rd(A,rd(A,ld(A,B))),B) -> rd(mult(mult(rd(A,A),B),B),A)
% Current number of equations to process: 2948
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [362] mult(V_3,mult(C,ld(A,ld(V_3,A)))) <-> mult(rd(A,mult(A,B)),mult(C,B))
% Current number of equations to process: 3170
% Current number of ordered equations: 1
% Current number of rules: 310
% New rule produced :
% [363] mult(rd(A,mult(A,B)),mult(C,B)) <-> mult(V_3,mult(C,ld(A,ld(V_3,A))))
% Current number of equations to process: 3170
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [364] mult(A,mult(B,ld(A,ld(A,A)))) <-> mult(C,mult(B,ld(A,ld(C,A))))
% Current number of equations to process: 3763
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [365] mult(C,mult(B,ld(A,ld(C,A)))) <-> mult(A,mult(B,ld(A,ld(A,A))))
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [366] mult(rd(A,B),mult(C,ld(A,B))) <-> mult(V_3,mult(C,ld(A,ld(V_3,A))))
% Rule [304] mult(rd(A,C),mult(B,ld(A,C))) <-> mult(A,mult(B,ld(A,ld(A,A))))
% collapsed.
% Current number of equations to process: 4072
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [367] mult(V_3,mult(C,ld(A,ld(V_3,A)))) <-> mult(rd(A,B),mult(C,ld(A,B)))
% Rule [204] mult(C,mult(B,ld(A,ld(C,A)))) <-> mult(rd(A,A),mult(B,ld(A,A)))
% collapsed.
% Rule [303] mult(A,mult(B,ld(A,ld(A,A)))) <-> mult(rd(A,C),mult(B,ld(A,C)))
% collapsed.
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [368] mult(rd(A,mult(A,B)),mult(C,B)) <-> mult(rd(A,mult(A,V_3)),mult(C,V_3))
% Rule
% [338] mult(rd(A,mult(A,c)),mult(B,c)) <-> mult(rd(A,mult(A,C)),mult(B,C))
% collapsed.
% Rule
% [339] mult(rd(A,mult(A,C)),mult(B,C)) <-> mult(rd(A,mult(A,c)),mult(B,c))
% collapsed.
% Current number of equations to process: 4503
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [369] mult(mult(rd(rd(A,A),B),C),A) <-> mult(mult(rd(rd(A,B),B),C),B)
% Current number of equations to process: 4933
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [370] mult(mult(rd(rd(A,B),B),C),B) <-> mult(mult(rd(rd(A,A),B),C),A)
% Current number of equations to process: 4933
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [371] mult(rd(A,A),mult(B,ld(C,C))) <-> mult(rd(A,mult(C,ld(B,A))),C)
% Current number of equations to process: 742
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [372] mult(rd(A,mult(C,ld(B,A))),C) <-> mult(rd(A,A),mult(B,ld(C,C)))
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 315
% Rule [359] mult(rd(A,A),mult(B,ld(A,C))) <-> mult(rd(A,mult(A,ld(B,A))),C) is composed into 
% [359] mult(rd(A,A),mult(B,ld(A,C))) <-> mult(mult(rd(rd(A,A),A),B),C)
% New rule produced : [373] rd(A,mult(B,ld(C,A))) <-> mult(rd(rd(A,A),B),C)
% Rule [360] mult(rd(A,mult(A,ld(B,A))),C) <-> mult(rd(A,A),mult(B,ld(A,C)))
% collapsed.
% Current number of equations to process: 764
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced : [374] mult(rd(rd(A,A),B),C) <-> rd(A,mult(B,ld(C,A)))
% Current number of equations to process: 764
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced : [375] rd(rd(A,mult(B,ld(C,A))),C) -> rd(rd(A,A),B)
% Current number of equations to process: 764
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced : [376] rd(rd(A,B),C) <-> rd(rd(A,A),rd(B,ld(C,A)))
% Rule [375] rd(rd(A,mult(B,ld(C,A))),C) -> rd(rd(A,A),B) collapsed.
% Current number of equations to process: 1926
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced : [377] rd(C,mult(ld(A,rd(C,C)),ld(B,C))) -> mult(A,B)
% Current number of equations to process: 2236
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced : [378] rd(rd(C,C),rd(ld(A,C),ld(B,C))) -> rd(A,B)
% Current number of equations to process: 2235
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [379] mult(rd(A,B),rd(ld(A,C),ld(B,C))) -> rd(C,C)
% Current number of equations to process: 2379
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced : [380] rd(C,mult(B,ld(C,ld(A,C)))) <-> mult(rd(A,B),C)
% Current number of equations to process: 2405
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced : [381] mult(rd(A,B),C) <-> rd(C,mult(B,ld(C,ld(A,C))))
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced : [382] mult(A,rd(ld(B,C),ld(ld(A,B),C))) -> rd(C,C)
% Current number of equations to process: 2465
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [383] rd(B,mult(ld(A,C),ld(B,ld(C,B)))) -> mult(A,B)
% Current number of equations to process: 3254
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced : [384] rd(ld(C,B),ld(ld(A,C),B)) -> ld(A,rd(B,B))
% Rule [382] mult(A,rd(ld(B,C),ld(ld(A,B),C))) -> rd(C,C) collapsed.
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced : [385] mult(ld(A,rd(B,B)),ld(ld(A,C),B)) -> ld(C,B)
% Current number of equations to process: 3464
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced : [386] ld(ld(A,C),B) <-> ld(ld(A,rd(B,B)),ld(C,B))
% Rule
% [72]
% rd(mult(rd(ld(ld(A,mult(B,A)),mult(ld(A,mult(B,C)),c)),ld(ld(A,mult(B,A)),c)),
% ld(ld(A,mult(B,A)),ld(A,A))),mult(rd(ld(c,rd(mult(ld(c,mult(mult(rd(c,
% ld(A,A)),c),c)),c),
% mult(ld(c,c),ld(c,c)))),
% ld(c,c)),ld(c,ld(c,ld(A,A))))) ->
% ld(A,C) collapsed.
% Rule
% [110]
% rd(mult(rd(ld(ld(A,mult(B,A)),mult(mult(rd(ld(A,mult(B,c)),ld(A,c)),C),c)),
% ld(ld(A,mult(B,A)),c)),ld(ld(A,mult(B,A)),ld(A,A))),mult(rd(ld(c,
% rd(
% mult(
% ld(c,
% mult(
% mult(
% rd(c,
% ld(A,A)),c),c)),c),
% mult(
% ld(c,c),
% ld(c,c)))),
% ld(c,c)),
% ld(c,ld(c,
% ld(A,A)))))
% -> C collapsed.
% Rule [144] ld(ld(A,rd(mult(mult(A,B),C),B)),C) -> ld(B,B) collapsed.
% Current number of equations to process: 3487
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced : [387] ld(ld(A,rd(B,B)),ld(C,B)) <-> ld(ld(A,C),B)
% Current number of equations to process: 3487
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [388] rd(mult(A,mult(rd(B,C),A)),A) <-> rd(mult(A,B),mult(rd(A,A),C))
% Current number of equations to process: 3945
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [389] rd(mult(A,B),mult(rd(A,A),C)) <-> rd(mult(A,mult(rd(B,C),A)),A)
% Current number of equations to process: 3945
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced : [390] rd(mult(A,mult(B,A)),A) <-> mult(rd(A,rd(A,A)),B)
% Current number of equations to process: 4376
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced : [391] mult(rd(A,rd(A,A)),B) <-> rd(mult(A,mult(B,A)),A)
% Current number of equations to prCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------