%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP675-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n125.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 00:23:56 EDT 2014

% Result   : Timeout 300.02s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP675-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n125.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 00:49:28 CDT 2014
% % CPUTime  : 300.02 
% Processing problem /tmp/CiME_12451_n125.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " e,d,c,b,a,unit : constant;  asoc : 3;  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,unit) = A;
% mult(unit,A) = A;
% mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C));
% mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C)));
% asoc(A,B,C) = ld(mult(A,mult(B,C)),mult(mult(A,B),C));
% ";
% 
% let s1 = status F "
% e lr_lex;
% d lr_lex;
% c lr_lex;
% b lr_lex;
% a lr_lex;
% asoc lr_lex;
% unit lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
% 
% let p1 = precedence F "
% asoc > ld > mult > rd > unit > a > b > c > d > e";
% 
% let s2 = status F "
% e mul;
% d mul;
% c mul;
% b mul;
% a mul;
% asoc mul;
% unit mul;
% rd mul;
% mult mul;
% ld mul;
% ";
% 
% let p2 = precedence F "
% asoc > ld > mult > rd > unit = a = b = c = d = e";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " mult(asoc(a,b,c),mult(d,e)) = mult(mult(asoc(a,b,c),d),e);"
% ;
% (*
% 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,unit) = A,
% mult(unit,A) = A,
% mult(A,mult(B,C)) =
% mult(rd(mult(A,B),A),mult(A,C)),
% mult(mult(A,B),C) =
% mult(mult(A,C),ld(C,mult(B,C))),
% asoc(A,B,C) =
% ld(mult(A,mult(B,C)),mult(mult(A,B),C)) }
% (9 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(asoc(a,b,c),mult(d,e)) =
% mult(mult(asoc(a,b,c),d),e) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] mult(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 1
% New rule produced : [2] mult(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 2
% New rule produced : [3] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 3
% New rule produced : [4] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 4
% New rule produced : [5] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 5
% New rule produced : [6] ld(A,mult(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 6
% New rule produced : [7] mult(mult(A,B),C) <-> mult(mult(A,C),ld(C,mult(B,C)))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(asoc(a,b,c),mult(d,e)) = mult(mult(asoc(a,b,c),e),ld(e,mult(d,e)))
% 
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 7
% New rule produced : [8] mult(rd(mult(A,B),A),mult(A,C)) -> mult(A,mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 8
% New rule produced : [9] mult(mult(A,C),ld(C,mult(B,C))) <-> mult(mult(A,B),C)
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 9
% New rule produced :
% [10] asoc(A,B,C) -> ld(mult(A,mult(B,C)),mult(mult(A,B),C))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(ld(mult(a,mult(b,c)),mult(mult(a,b),c)),mult(d,e)) = mult(mult(ld(
% mult(a,
% mult(b,c)),
% mult(
% mult(a,b),c)),e),
% ld(e,mult(d,e)))
% 
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 10
% New rule produced : [11] rd(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 11
% New rule produced : [12] rd(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 12
% New rule produced : [13] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 13
% New rule produced : [14] ld(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 14
% New rule produced : [15] rd(A,ld(B,A)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced : [16] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C))
% Current number of equations to process: 10
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced : [18] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,B),A),C)
% Current number of equations to process: 10
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced : [19] mult(rd(mult(A,B),A),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: 19
% New rule produced : [20] mult(A,ld(B,mult(C,B))) <-> mult(mult(rd(A,B),C),B)
% Current number of equations to process: 19
% Current number of ordered equations: 3
% Current number of rules: 20
% New rule produced : [21] mult(mult(A,B),ld(B,C)) <-> mult(mult(A,rd(C,B)),B)
% Current number of equations to process: 19
% Current number of ordered equations: 2
% Current number of rules: 21
% New rule produced : [22] mult(mult(rd(A,B),C),B) <-> mult(A,ld(B,mult(C,B)))
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [23] mult(mult(A,rd(C,B)),B) <-> mult(mult(A,B),ld(B,C))
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [24] rd(mult(A,mult(B,C)),mult(A,C)) -> rd(mult(A,B),A)
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [25] ld(mult(A,B),mult(mult(A,C),B)) -> ld(B,mult(C,B))
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [26] rd(mult(mult(A,B),ld(B,mult(C,B))),B) -> mult(A,C)
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [27] mult(mult(rd(A,C),B),ld(B,mult(C,B))) -> mult(A,B)
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [28] ld(rd(mult(A,B),A),mult(A,mult(B,C))) -> mult(A,C)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [29] rd(mult(mult(A,B),C),ld(C,mult(B,C))) -> mult(A,C)
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [30] ld(A,mult(rd(B,A),mult(A,C))) -> mult(ld(A,B),C)
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [31] ld(A,mult(rd(mult(A,B),A),C)) -> mult(B,ld(A,C))
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [32] mult(A,mult(B,ld(A,unit))) -> rd(mult(A,B),A)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [33] rd(mult(A,mult(B,ld(A,C))),C) -> rd(mult(A,B),A)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 33
% Rule [25] ld(mult(A,B),mult(mult(A,C),B)) -> ld(B,mult(C,B)) is composed into 
% [25] ld(mult(A,B),mult(mult(A,C),B)) -> mult(mult(rd(unit,B),C),B)
% Rule [22] mult(mult(rd(A,B),C),B) <-> mult(A,ld(B,mult(C,B))) is composed into 
% [22] mult(mult(rd(A,B),C),B) <-> mult(A,mult(mult(rd(unit,B),C),B))
% Rule [7] mult(mult(A,B),C) <-> mult(mult(A,C),ld(C,mult(B,C))) is composed into 
% [7] mult(mult(A,B),C) <-> mult(mult(A,C),mult(mult(rd(unit,C),B),C))
% New rule produced : [34] ld(A,mult(B,A)) -> mult(mult(rd(unit,A),B),A)
% Rule [9] mult(mult(A,C),ld(C,mult(B,C))) <-> mult(mult(A,B),C) collapsed.
% Rule [20] mult(A,ld(B,mult(C,B))) <-> mult(mult(rd(A,B),C),B) collapsed.
% Rule [26] rd(mult(mult(A,B),ld(B,mult(C,B))),B) -> mult(A,C) collapsed.
% Rule [27] mult(mult(rd(A,C),B),ld(B,mult(C,B))) -> mult(A,B) collapsed.
% Rule [29] rd(mult(mult(A,B),C),ld(C,mult(B,C))) -> mult(A,C) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(ld(mult(a,mult(b,c)),mult(mult(a,b),c)),mult(d,e)) = mult(mult(ld(
% mult(a,
% mult(b,c)),
% mult(
% mult(a,b),c)),e),
% mult(mult(rd(unit,e),d),e))
% 
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 29
% Rule [23] mult(mult(A,rd(C,B)),B) <-> mult(mult(A,B),ld(B,C)) is composed into 
% [23]
% mult(mult(A,rd(C,B)),B) <-> mult(mult(A,B),mult(mult(rd(unit,B),rd(C,B)),B))
% Rule [19] mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,ld(A,C))) is composed into 
% [19]
% mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,mult(mult(rd(unit,A),rd(C,A)),A)))
% Rule [10] asoc(A,B,C) -> ld(mult(A,mult(B,C)),mult(mult(A,B),C)) is composed into 
% [10]
% asoc(A,B,C) ->
% mult(mult(rd(unit,mult(A,mult(B,C))),rd(mult(mult(A,B),C),mult(A,mult(B,C)))),
% mult(A,mult(B,C)))
% New rule produced : [35] ld(A,B) -> mult(mult(rd(unit,A),rd(B,A)),A)
% Rule [4] mult(A,ld(A,B)) -> B collapsed.
% Rule [6] ld(A,mult(A,B)) -> B collapsed.
% Rule [13] ld(unit,A) -> A collapsed.
% Rule [14] ld(A,A) -> unit collapsed.
% Rule [15] rd(A,ld(B,A)) -> B collapsed.
% Rule [16] ld(rd(A,B),A) -> B collapsed.
% Rule [17] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C)) collapsed.
% Rule [18] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,B),A),C) collapsed.
% Rule [21] mult(mult(A,B),ld(B,C)) <-> mult(mult(A,rd(C,B)),B) collapsed.
% Rule [25] ld(mult(A,B),mult(mult(A,C),B)) -> mult(mult(rd(unit,B),C),B)
% collapsed.
% Rule [28] ld(rd(mult(A,B),A),mult(A,mult(B,C))) -> mult(A,C) collapsed.
% Rule [30] ld(A,mult(rd(B,A),mult(A,C))) -> mult(ld(A,B),C) collapsed.
% Rule [31] ld(A,mult(rd(mult(A,B),A),C)) -> mult(B,ld(A,C)) collapsed.
% Rule [32] mult(A,mult(B,ld(A,unit))) -> rd(mult(A,B),A) collapsed.
% Rule [33] rd(mult(A,mult(B,ld(A,C))),C) -> rd(mult(A,B),A) collapsed.
% Rule [34] ld(A,mult(B,A)) -> mult(mult(rd(unit,A),B),A) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(mult(rd(unit,mult(a,mult(b,c))),mult(d,e)),mult(mult(rd(unit,
% mult(d,e)),
% rd(mult(mult(a,b),c),
% mult(a,mult(b,c)))),
% mult(d,e))),mult(
% mult(
% rd(unit,
% mult(d,e)),
% mult(a,
% mult(b,c))),
% mult(d,e))) = 
% mult(mult(mult(mult(rd(unit,mult(a,mult(b,c))),e),mult(mult(rd(unit,e),
% rd(mult(mult(a,b),c),
% mult(a,mult(b,c)))),e)),
% mult(mult(rd(unit,e),d),e)),mult(mult(rd(unit,mult(mult(rd(unit,e),d),e)),
% mult(mult(rd(unit,e),mult(a,mult(b,c))),e)),
% mult(mult(rd(unit,e),d),e)))
% 
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [36] mult(A,mult(mult(rd(unit,A),rd(B,A)),A)) -> B
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced : [37] mult(mult(rd(unit,A),rd(mult(A,B),A)),A) -> B
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [38] rd(A,mult(mult(rd(unit,B),rd(A,B)),B)) -> B
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [39]
% mult(mult(rd(unit,A),rd(mult(mult(rd(A,B),C),B),A)),A) ->
% mult(mult(rd(unit,B),C),B)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [40] mult(mult(A,rd(mult(B,C),B)),B) -> mult(mult(A,B),C)
% Rule [37] mult(mult(rd(unit,A),rd(mult(A,B),A)),A) -> B collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [41] mult(B,mult(mult(rd(unit,B),A),B)) -> mult(A,B)
% Rule [36] mult(A,mult(mult(rd(unit,A),rd(B,A)),A)) -> B collapsed.
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [42] rd(mult(A,rd(B,C)),A) -> rd(mult(A,B),mult(A,C))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [43] rd(mult(A,B),mult(mult(rd(unit,B),A),B)) -> B
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [44] rd(mult(mult(A,B),C),B) -> mult(A,rd(mult(B,C),B))
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [45] mult(rd(mult(A,B),mult(A,C)),A) -> mult(A,rd(B,C))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [46] mult(rd(A,C),rd(mult(C,B),C)) -> rd(mult(A,B),C)
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [47] mult(rd(A,mult(A,B)),A) -> mult(A,rd(unit,B))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [48]
% mult(rd(C,A),mult(A,mult(mult(rd(unit,mult(mult(rd(unit,A),rd(C,A)),A)),
% rd(B,mult(mult(rd(unit,A),rd(C,A)),A))),mult(
% mult(
% rd(unit,A),
% rd(C,A)),A))))
% -> mult(A,B)
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [49]
% rd(mult(mult(A,rd(B,C)),C),mult(mult(rd(unit,C),rd(B,C)),C)) -> mult(A,C)
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [50] mult(mult(rd(A,rd(mult(B,C),B)),B),C) -> mult(A,B)
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [51] rd(mult(A,B),mult(B,B)) <-> rd(mult(B,mult(rd(unit,B),A)),B)
% Current number of equations to process: 298
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [52] rd(mult(B,mult(rd(unit,B),A)),B) <-> rd(mult(A,B),mult(B,B))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [53] rd(rd(mult(A,B),C),rd(mult(C,B),C)) -> rd(A,C)
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [54] mult(rd(rd(A,B),A),rd(A,B)) -> mult(rd(A,B),rd(unit,B))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [55] mult(rd(A,rd(mult(B,C),B)),B) -> rd(mult(A,B),C)
% Rule [50] mult(mult(rd(A,rd(mult(B,C),B)),B),C) -> mult(A,B) collapsed.
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [56] mult(rd(mult(A,B),mult(B,B)),B) -> mult(B,mult(rd(unit,B),A))
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [57] rd(rd(A,B),rd(mult(B,C),B)) <-> rd(rd(A,C),B)
% Current number of equations to process: 380
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced : [58] rd(rd(A,C),B) <-> rd(rd(A,B),rd(mult(B,C),B))
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [59] rd(A,rd(mult(B,C),B)) <-> rd(rd(mult(A,B),C),B)
% Current number of equations to process: 445
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced : [60] rd(rd(mult(A,B),C),B) <-> rd(A,rd(mult(B,C),B))
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [61] mult(rd(A,mult(B,B)),B) -> mult(B,mult(rd(unit,B),rd(A,B)))
% Rule [56] mult(rd(mult(A,B),mult(B,B)),B) -> mult(B,mult(rd(unit,B),A))
% collapsed.
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [62] rd(unit,rd(mult(A,B),A)) -> rd(rd(A,B),A)
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [63] rd(rd(rd(A,B),B),rd(A,B)) -> rd(unit,rd(A,rd(A,B)))
% Current number of equations to process: 712
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [64] rd(rd(B,mult(mult(rd(unit,B),A),B)),B) -> rd(unit,A)
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [65] rd(unit,rd(mult(A,B),mult(A,C))) <-> rd(rd(A,rd(B,C)),A)
% Current number of equations to process: 716
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [66] rd(rd(A,rd(B,C)),A) <-> rd(unit,rd(mult(A,B),mult(A,C)))
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [67] rd(B,mult(mult(rd(unit,B),A),B)) -> mult(rd(unit,A),B)
% Rule [64] rd(rd(B,mult(mult(rd(unit,B),A),B)),B) -> rd(unit,A) collapsed.
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [68] rd(unit,rd(A,mult(A,B))) -> rd(rd(A,rd(unit,B)),A)
% Current number of equations to process: 756
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [69]
% mult(mult(rd(unit,mult(A,B)),rd(mult(mult(A,C),mult(mult(rd(unit,C),B),C)),
% mult(A,B))),mult(A,B)) -> C
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [70]
% rd(mult(rd(A,B),mult(B,C)),mult(mult(mult(rd(unit,B),rd(A,B)),B),C)) -> B
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [71]
% rd(mult(rd(mult(A,B),A),C),mult(B,mult(mult(rd(unit,A),rd(C,A)),A))) -> A
% Current number of equations to process: 1011
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [72] mult(rd(A,B),C) <-> rd(mult(A,mult(mult(rd(unit,B),C),B)),B)
% Current number of equations to process: 1074
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [73] rd(mult(A,mult(mult(rd(unit,B),C),B)),B) <-> mult(rd(A,B),C)
% Current number of equations to process: 1074
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [74] rd(mult(rd(A,B),mult(C,B)),A) -> rd(mult(rd(A,B),C),rd(A,B))
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [75] mult(rd(unit,A),mult(B,A)) -> rd(mult(rd(unit,A),B),rd(unit,A))
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [76] mult(B,mult(mult(mult(rd(unit,B),A),B),C)) -> mult(A,mult(B,C))
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [77] rd(mult(rd(A,C),mult(C,B)),A) -> rd(rd(mult(A,B),C),rd(A,C))
% Current number of equations to process: 1338
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [78] mult(rd(unit,A),mult(A,B)) -> rd(rd(B,A),rd(unit,A))
% Current number of equations to process: 1353
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [79] rd(rd(rd(A,B),rd(unit,B)),mult(B,A)) -> rd(unit,B)
% Current number of equations to process: 1464
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [80] rd(rd(unit,rd(unit,A)),mult(A,A)) -> rd(unit,A)
% Current number of equations to process: 1474
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [81] rd(rd(A,rd(unit,B)),mult(B,mult(A,B))) -> rd(unit,B)
% Current number of equations to process: 1476
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [82] rd(A,mult(B,mult(mult(A,rd(unit,B)),B))) -> rd(unit,B)
% Current number of equations to process: 1557
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [83] mult(A,rd(unit,mult(mult(A,rd(unit,A)),A))) -> unit
% Current number of equations to process: 1612
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [84] rd(unit,rd(unit,mult(mult(A,rd(unit,A)),A))) -> A
% Current number of equations to process: 1626
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [85] rd(mult(B,mult(rd(unit,B),rd(A,B))),B) -> rd(A,mult(B,B))
% Current number of equations to process: 1691
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [86] rd(mult(A,C),mult(mult(rd(unit,C),B),C)) <-> mult(rd(A,B),C)
% Rule [43] rd(mult(A,B),mult(mult(rd(unit,B),A),B)) -> B collapsed.
% Current number of equations to process: 1739
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [87] mult(rd(A,B),C) <-> rd(mult(A,C),mult(mult(rd(unit,C),B),C))
% Current number of equations to process: 1739
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [88] rd(A,mult(mult(rd(unit,B),C),B)) <-> mult(rd(rd(A,B),C),B)
% Rule [38] rd(A,mult(mult(rd(unit,B),rd(A,B)),B)) -> B collapsed.
% Rule
% [48]
% mult(rd(C,A),mult(A,mult(mult(rd(unit,mult(mult(rd(unit,A),rd(C,A)),A)),
% rd(B,mult(mult(rd(unit,A),rd(C,A)),A))),mult(
% mult(
% rd(unit,A),
% rd(C,A)),A))))
% -> mult(A,B) collapsed.
% Rule [67] rd(B,mult(mult(rd(unit,B),A),B)) -> mult(rd(unit,A),B) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(mult(rd(unit,mult(a,mult(b,c))),mult(d,e)),mult(mult(rd(unit,
% mult(d,e)),
% rd(mult(mult(a,b),c),
% mult(a,mult(b,c)))),
% mult(d,e))),mult(
% mult(
% rd(unit,
% mult(d,e)),
% mult(a,
% mult(b,c))),
% mult(d,e))) = 
% mult(mult(mult(mult(rd(unit,mult(a,mult(b,c))),e),mult(mult(rd(unit,e),
% rd(mult(mult(a,b),c),
% mult(a,mult(b,c)))),e)),
% mult(mult(rd(unit,e),d),e)),mult(mult(mult(rd(rd(unit,e),d),e),mult(
% mult(
% rd(unit,e),
% mult(a,
% mult(b,c))),e)),
% mult(mult(rd(unit,e),d),e)))
% 
% Current number of equations to process: 1751
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [89] mult(rd(rd(A,B),C),B) <-> rd(A,mult(mult(rd(unit,B),C),B))
% Current number of equations to process: 1752
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [90] rd(rd(A,mult(mult(rd(unit,B),C),B)),B) -> rd(rd(A,B),C)
% Current number of equations to process: 2037
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [91] rd(A,rd(mult(B,C),mult(B,V_3))) <-> rd(rd(mult(A,B),rd(C,V_3)),B)
% Current number of equations to process: 2079
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [92] rd(rd(mult(A,B),rd(C,V_3)),B) <-> rd(A,rd(mult(B,C),mult(B,V_3)))
% Current number of equations to process: 2079
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [93] rd(A,rd(B,mult(B,C))) <-> rd(rd(mult(A,B),rd(unit,C)),B)
% Current number of equations to process: 2100
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [94] rd(rd(mult(A,B),rd(unit,C)),B) <-> rd(A,rd(B,mult(B,C)))
% Current number of equations to process: 2100
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [95] rd(rd(A,rd(unit,B)),C) <-> rd(rd(A,C),rd(C,mult(C,B)))
% Current number of equations to process: 2331
% Current number of ordered equations: 2
% Current number of rules: 65
% New rule produced :
% [96] rd(rd(A,C),rd(C,mult(C,B))) <-> rd(rd(A,rd(unit,B)),C)
% Current number of equations to process: 2331
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [97] mult(rd(A,rd(B,mult(B,C))),B) -> rd(mult(A,B),rd(unit,C))
% Current number of equations to process: 2331
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [98] rd(mult(A,B),rd(mult(C,B),C)) <-> rd(mult(A,rd(mult(B,C),B)),C)
% Current number of equations to process: 2595
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [99] rd(mult(A,rd(mult(B,C),B)),C) <-> rd(mult(A,B),rd(mult(C,B),C))
% Current number of equations to process: 2595
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [100] rd(A,mult(A,rd(mult(B,C),B))) -> rd(mult(A,rd(B,C)),mult(A,B))
% Current number of equations to process: 2738
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [101] rd(A,mult(A,A)) -> rd(rd(A,rd(unit,rd(unit,A))),A)
% Current number of equations to process: 2798
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [102] mult(A,rd(unit,A)) -> rd(A,rd(unit,rd(unit,A)))
% Rule [83] mult(A,rd(unit,mult(mult(A,rd(unit,A)),A))) -> unit collapsed.
% Rule [84] rd(unit,rd(unit,mult(mult(A,rd(unit,A)),A))) -> A collapsed.
% Current number of equations to process: 2803
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [103] rd(rd(A,rd(unit,rd(unit,A))),rd(unit,A)) -> A
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [104] rd(rd(B,mult(rd(unit,B),A)),B) <-> rd(unit,rd(mult(A,B),mult(B,B)))
% Current number of equations to process: 2888
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [105] rd(unit,rd(mult(A,B),mult(B,B))) <-> rd(rd(B,mult(rd(unit,B),A)),B)
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [106] mult(rd(unit,rd(A,rd(A,B))),rd(A,B)) -> rd(rd(A,B),B)
% Current number of equations to process: 2985
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [107] mult(rd(unit,rd(mult(A,B),mult(A,C))),A) -> rd(A,rd(B,C))
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [108] mult(mult(rd(unit,A),B),mult(mult(rd(unit,B),A),B)) -> B
% Current number of equations to process: 3191
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [109] mult(rd(rd(A,rd(unit,B)),A),rd(A,mult(A,B))) -> unit
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [110] rd(mult(A,mult(B,A)),mult(A,B)) -> rd(mult(A,B),rd(mult(A,B),A))
% Current number of equations to process: 3334
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [111] mult(rd(unit,A),rd(mult(B,A),C)) -> rd(mult(rd(unit,A),B),rd(C,A))
% Current number of equations to process: 3412
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [112] mult(rd(unit,A),rd(A,B)) -> rd(rd(unit,A),rd(B,A))
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [113] rd(rd(rd(unit,A),rd(B,A)),rd(A,B)) -> rd(unit,A)
% Current number of equations to process: 3611
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [114] rd(rd(rd(unit,A),B),rd(A,mult(B,A))) -> rd(unit,A)
% Current number of equations to process: 3630
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [115] rd(rd(rd(unit,B),A),rd(unit,A)) -> rd(unit,rd(rd(B,A),rd(unit,A)))
% Current number of equations to process: 3764
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [116]
% mult(rd(unit,A),rd(unit,mult(B,A))) -> rd(mult(rd(unit,A),rd(unit,A)),B)
% Current number of equations to process: 3764
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [117] mult(mult(A,B),A) -> mult(A,mult(rd(rd(B,A),rd(unit,A)),A))
% Current number of equations to process: 3895
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [118] mult(A,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))) -> unit
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [119] mult(A,rd(unit,mult(rd(A,rd(unit,rd(unit,A))),A))) -> unit
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [120] rd(unit,rd(unit,mult(rd(A,rd(unit,rd(unit,A))),A))) -> A
% Current number of equations to process: 4108
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [121] rd(mult(rd(A,B),rd(B,C)),A) -> rd(rd(A,B),rd(mult(A,C),B))
% Current number of equations to process: 4161
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [122] mult(rd(rd(A,rd(unit,rd(unit,A))),A),mult(A,A)) -> A
% Current number of equations to process: 4294
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [123] mult(A,mult(rd(rd(unit,A),rd(B,A)),A)) -> mult(rd(A,B),A)
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [124] mult(rd(A,mult(B,A)),A) -> mult(A,mult(rd(rd(unit,A),B),A))
% Current number of equations to process: 4372
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [125] rd(unit,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))) -> A
% Current number of equations to process: 4560
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [126] rd(mult(A,mult(rd(rd(unit,A),B),A)),A) -> rd(A,mult(B,A))
% Current number of equations to process: 4617
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [127] mult(mult(rd(A,C),B),mult(mult(rd(unit,B),C),B)) -> mult(A,B)
% Rule [108] mult(mult(rd(unit,A),B),mult(mult(rd(unit,B),A),B)) -> B
% collapsed.
% Current number of equations to process: 4671
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [128] mult(rd(A,rd(A,B)),mult(rd(A,B),C)) -> mult(rd(A,B),mult(B,C))
% Current number of equations to process: 4812
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [129] mult(rd(mult(rd(A,B),C),rd(A,B)),A) -> mult(rd(A,B),mult(C,B))
% Current number of equations to process: 4812
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [130] mult(rd(A,rd(A,B)),A) -> mult(rd(A,B),mult(B,B))
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [131] rd(mult(mult(A,B),C),mult(mult(rd(unit,C),B),C)) -> mult(A,C)
% Rule
% [49]
% rd(mult(mult(A,rd(B,C)),C),mult(mult(rd(unit,C),rd(B,C)),C)) -> mult(A,C)
% collapsed.
% Current number of equations to process: 2478
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [132]
% mult(A,mult(mult(mult(rd(rd(unit,B),rd(A,B)),B),C),mult(mult(rd(unit,B),
% rd(A,B)),B))) ->
% mult(mult(B,C),mult(mult(rd(unit,B),rd(A,B)),B))
% Current number of equations to process: 2562
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [133]
% mult(mult(A,mult(mult(rd(unit,B),rd(C,B)),B)),mult(mult(mult(rd(rd(unit,B),
% rd(C,B)),B),B),
% mult(mult(rd(unit,B),rd(C,B)),B)))
% -> mult(mult(A,B),mult(mult(rd(unit,B),rd(C,B)),B))
% Current number of equations to process: 2562
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [134] mult(A,mult(mult(B,C),A)) <-> mult(rd(mult(A,mult(B,A)),A),mult(C,A))
% Current number of equations to process: 2898
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [135] mult(rd(mult(A,mult(B,A)),A),mult(C,A)) <-> mult(A,mult(mult(B,C),A))
% Current number of equations to process: 2898
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [136] mult(A,mult(mult(rd(B,A),C),A)) -> mult(rd(mult(A,B),A),mult(C,A))
% Rule [41] mult(B,mult(mult(rd(unit,B),A),B)) -> mult(A,B) collapsed.
% Current number of equations to process: 3054
% Current number of ordered equations: 2
% Current number of rules: 101
% New rule produced :
% [137] mult(A,mult(mult(B,rd(C,A)),A)) <-> mult(rd(mult(A,mult(B,A)),A),C)
% Current number of equations to process: 3054
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [138] mult(rd(mult(A,mult(B,A)),A),C) <-> mult(A,mult(mult(B,rd(C,A)),A))
% Current number of equations to process: 3054
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [139] mult(A,mult(mult(B,rd(unit,A)),A)) -> rd(mult(A,mult(B,A)),A)
% Rule [82] rd(A,mult(B,mult(mult(A,rd(unit,B)),B))) -> rd(unit,B) collapsed.
% Current number of equations to process: 3486
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [140] rd(mult(A,mult(rd(B,rd(unit,A)),A)),A) -> mult(A,mult(B,A))
% Current number of equations to process: 3689
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [141]
% mult(mult(rd(A,mult(mult(rd(unit,B),rd(C,B)),B)),B),mult(mult(rd(unit,B),
% rd(C,B)),B)) ->
% mult(A,mult(mult(mult(rd(rd(unit,B),rd(C,B)),B),B),mult(mult(rd(unit,B),
% rd(C,B)),B)))
% Current number of equations to process: 3757
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [142] mult(mult(A,rd(B,rd(B,C))),rd(B,C)) -> mult(mult(A,rd(B,C)),C)
% Current number of equations to process: 3895
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [143] mult(rd(mult(A,B),mult(A,C)),mult(A,V_3)) -> mult(A,mult(rd(B,C),V_3))
% Current number of equations to process: 4050
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [144] mult(rd(A,mult(A,B)),mult(A,C)) -> mult(A,mult(rd(unit,B),C))
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [145] mult(mult(A,rd(mult(B,C),mult(B,V_3))),B) -> mult(mult(A,B),rd(C,V_3))
% Current number of equations to process: 4447
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [146] mult(mult(A,rd(B,mult(B,C))),B) -> mult(mult(A,B),rd(unit,C))
% Current number of equations to process: 4482
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [147] mult(rd(A,mult(rd(A,B),C)),rd(A,B)) -> mult(rd(A,B),rd(B,C))
% Current number of equations to process: 4803
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [148] mult(rd(mult(rd(A,B),C),A),rd(A,B)) -> mult(rd(A,B),rd(C,B))
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [149] mult(rd(A,rd(B,C)),rd(B,rd(B,C))) -> rd(mult(A,C),rd(B,C))
% Current number of equations to process: 1593
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [150] mult(rd(A,B),rd(mult(B,C),mult(B,V_3))) -> rd(mult(A,rd(C,V_3)),B)
% Current number of equations to process: 1771
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [151] mult(rd(A,B),rd(B,mult(B,C))) -> rd(mult(A,rd(unit,C)),B)
% Rule [109] mult(rd(rd(A,rd(unit,B)),A),rd(A,mult(A,B))) -> unit collapsed.
% Current number of equations to process: 1802
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [152] rd(rd(mult(A,mult(mult(rd(unit,B),C),B)),B),C) -> rd(A,B)
% Current number of equations to process: 2168
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [153] mult(rd(A,rd(B,rd(B,C))),rd(B,C)) -> rd(mult(A,rd(B,C)),C)
% Rule [106] mult(rd(unit,rd(A,rd(A,B))),rd(A,B)) -> rd(rd(A,B),B) collapsed.
% Current number of equations to process: 2274
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [154] mult(rd(A,rd(mult(B,C),mult(B,V_3))),B) -> rd(mult(A,B),rd(C,V_3))
% Rule [107] mult(rd(unit,rd(mult(A,B),mult(A,C))),A) -> rd(A,rd(B,C))
% collapsed.
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [155] rd(rd(A,rd(B,C)),rd(B,rd(B,C))) -> rd(rd(A,C),rd(B,C))
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [156] rd(rd(A,B),rd(mult(B,C),mult(B,V_3))) <-> rd(rd(A,rd(C,V_3)),B)
% Current number of equations to process: 2850
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [157] rd(rd(A,rd(C,V_3)),B) <-> rd(rd(A,B),rd(mult(B,C),mult(B,V_3)))
% Current number of equations to process: 2850
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [158] rd(rd(mult(A,rd(B,C)),C),rd(B,C)) -> rd(A,rd(B,rd(B,C)))
% Current number of equations to process: 3267
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [159] mult(B,mult(rd(unit,B),rd(mult(A,mult(B,B)),B))) -> mult(A,B)
% Current number of equations to process: 3434
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [160] rd(rd(rd(A,B),rd(unit,B)),rd(A,B)) -> rd(unit,rd(rd(A,B),A))
% Current number of equations to process: 3548
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [161] rd(rd(mult(rd(unit,A),B),rd(unit,A)),mult(B,A)) -> rd(unit,A)
% Current number of equations to process: 3674
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [162] mult(rd(unit,A),rd(B,mult(C,A))) -> rd(mult(rd(unit,A),rd(B,A)),C)
% Rule
% [116]
% mult(rd(unit,A),rd(unit,mult(B,A))) -> rd(mult(rd(unit,A),rd(unit,A)),B)
% collapsed.
% Current number of equations to process: 3742
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [163] mult(mult(rd(unit,A),B),rd(C,A)) -> mult(rd(unit,A),rd(mult(B,C),A))
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [164] mult(rd(rd(mult(A,B),C),rd(A,C)),A) -> mult(rd(A,C),mult(C,B))
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [165] mult(rd(A,mult(A,B)),mult(mult(A,B),B)) -> rd(A,rd(unit,B))
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [166] mult(rd(rd(A,B),A),mult(A,B)) -> rd(rd(A,B),rd(unit,B))
% Current number of equations to process: 4323
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [167] rd(rd(A,rd(unit,B)),mult(mult(A,B),B)) -> rd(A,mult(A,B))
% Current number of equations to process: 4388
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [168] mult(rd(unit,rd(A,rd(A,B))),A) -> rd(rd(rd(A,B),B),rd(unit,B))
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [169] rd(rd(rd(A,B),rd(unit,B)),mult(A,B)) -> rd(rd(A,B),A)
% Current number of equations to process: 4708
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [170] mult(rd(unit,rd(A,B)),A) -> rd(rd(B,rd(A,B)),rd(unit,rd(A,B)))
% Rule [168] mult(rd(unit,rd(A,rd(A,B))),A) -> rd(rd(rd(A,B),B),rd(unit,B))
% collapsed.
% Current number of equations to process: 1391
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [171] mult(rd(unit,mult(A,B)),A) -> rd(A,mult(rd(rd(B,A),rd(unit,A)),A))
% Current number of equations to process: 1547
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [172]
% rd(A,mult(rd(unit,rd(unit,A)),A)) -> mult(A,mult(rd(unit,A),rd(unit,A)))
% Current number of equations to process: 1593
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [173]
% rd(rd(unit,rd(unit,rd(unit,A))),rd(A,rd(unit,rd(unit,A)))) -> rd(unit,A)
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [174] rd(rd(B,mult(rd(unit,B),rd(A,B))),B) -> rd(unit,rd(A,mult(B,B)))
% Current number of equations to process: 1826
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [175] mult(rd(unit,rd(A,mult(B,B))),B) -> rd(B,mult(rd(unit,B),rd(A,B)))
% Current number of equations to process: 1838
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [176] rd(rd(mult(A,rd(unit,C)),B),rd(B,mult(B,C))) -> rd(A,B)
% Current number of equations to process: 2056
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [177] rd(unit,rd(rd(A,rd(unit,rd(unit,A))),A)) -> rd(rd(A,rd(unit,A)),A)
% Current number of equations to process: 2199
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [178] rd(A,mult(A,mult(rd(A,rd(unit,rd(unit,A))),A))) -> rd(unit,A)
% Current number of equations to process: 2290
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [179]
% mult(rd(A,rd(unit,rd(unit,A))),rd(A,rd(unit,A))) ->
% mult(A,rd(unit,rd(unit,A)))
% Current number of equations to process: 2348
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [180]
% rd(rd(unit,A),rd(rd(unit,rd(unit,A)),A)) -> rd(unit,rd(unit,rd(unit,A)))
% Current number of equations to process: 2430
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [181] mult(rd(unit,A),rd(B,C)) <-> rd(mult(rd(unit,A),rd(B,A)),rd(C,A))
% Rule [162] mult(rd(unit,A),rd(B,mult(C,A))) -> rd(mult(rd(unit,A),rd(B,A)),C)
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(mult(rd(unit,mult(a,mult(b,c))),mult(d,e)),rd(mult(mult(rd(unit,
% mult(d,e)),
% rd(mult(
% mult(a,b),c),
% mult(d,e))),
% mult(d,e)),mult(
% mult(
% rd(unit,
% mult(d,e)),
% rd(
% mult(a,
% mult(b,c)),
% mult(d,e))),
% mult(d,e)))),
% mult(mult(rd(unit,mult(d,e)),mult(a,mult(b,c))),mult(d,e))) = mult(mult(
% mult(
% mult(
% rd(unit,
% mult(a,
% mult(b,c))),e),
% rd(
% mult(
% mult(
% rd(unit,e),
% rd(
% mult(
% mult(a,b),c),e)),e),
% mult(
% mult(
% rd(unit,e),
% rd(
% mult(a,
% mult(b,c)),e)),e))),
% mult(
% mult(
% rd(unit,e),d),e)),
% mult(mult(
% mult(
% rd(
% rd(unit,e),d),e),
% mult(
% mult(
% rd(unit,e),
% mult(a,
% mult(b,c))),e)),
% mult(mult(
% rd(unit,e),d),e)))
% 
% Current number of equations to process: 2475
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [182] rd(mult(rd(unit,A),rd(B,A)),rd(C,A)) <-> mult(rd(unit,A),rd(B,C))
% Current number of equations to process: 2475
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [183] mult(rd(unit,B),rd(mult(B,A),C)) -> rd(rd(A,B),rd(C,B))
% Current number of equations to process: 2671
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [184] mult(rd(mult(rd(unit,A),B),rd(B,A)),B) -> mult(mult(rd(unit,A),B),A)
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 142
% Rule [171] mult(rd(unit,mult(A,B)),A) -> rd(A,mult(rd(rd(B,A),rd(unit,A)),A)) is composed into 
% [171] mult(rd(unit,mult(A,B)),A) -> rd(rd(unit,mult(A,B)),rd(B,mult(A,B)))
% New rule produced :
% [185]
% rd(A,mult(rd(rd(B,A),rd(unit,A)),A)) ->
% rd(rd(unit,mult(A,B)),rd(B,mult(A,B)))
% Current number of equations to process: 3167
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [186] rd(unit,mult(rd(unit,A),B)) -> rd(rd(rd(unit,A),rd(B,A)),rd(unit,A))
% Rule [125] rd(unit,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))) -> A
% collapsed.
% Current number of equations to process: 3294
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [187] mult(rd(rd(A,B),rd(mult(A,C),B)),A) -> mult(rd(A,B),rd(B,C))
% Current number of equations to process: 3412
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [188] rd(rd(A,mult(rd(rd(unit,A),B),A)),A) -> rd(unit,rd(A,mult(B,A)))
% Current number of equations to process: 3663
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [189] rd(mult(A,mult(mult(B,C),A)),mult(C,A)) -> rd(mult(A,mult(B,A)),A)
% Current number of equations to process: 3749
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [190] rd(mult(A,mult(rd(B,C),A)),A) -> rd(mult(A,mult(B,A)),mult(C,A))
% Rule [126] rd(mult(A,mult(rd(rd(unit,A),B),A)),A) -> rd(A,mult(B,A))
% collapsed.
% Rule [140] rd(mult(A,mult(rd(B,rd(unit,A)),A)),A) -> mult(A,mult(B,A))
% collapsed.
% Current number of equations to process: 3769
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [191] mult(A,mult(rd(A,rd(unit,rd(unit,A))),A)) -> rd(mult(A,mult(A,A)),A)
% Rule [178] rd(A,mult(A,mult(rd(A,rd(unit,rd(unit,A))),A))) -> rd(unit,A)
% collapsed.
% Current number of equations to process: 4155
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [192] rd(mult(A,mult(mult(B,rd(C,A)),A)),C) -> rd(mult(A,mult(B,A)),A)
% Current number of equations to process: 4259
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [193] mult(A,rd(unit,mult(mult(B,rd(unit,A)),A))) -> rd(mult(A,A),mult(B,A))
% Current number of equations to process: 4412
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [194] mult(rd(mult(A,A),mult(B,A)),A) -> mult(A,mult(rd(unit,B),A))
% Current number of equations to process: 4471
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [195] mult(A,mult(rd(unit,rd(B,A)),A)) <-> mult(rd(mult(A,A),B),A)
% Current number of equations to process: 4538
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [196] mult(rd(mult(A,A),B),A) <-> mult(A,mult(rd(unit,rd(B,A)),A))
% Current number of equations to process: 4538
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [197] rd(rd(A,mult(rd(B,rd(unit,A)),A)),A) -> rd(unit,mult(A,mult(B,A)))
% Current number of equations to process: 4938
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [198] rd(rd(rd(B,C),A),rd(mult(A,B),mult(A,C))) -> rd(unit,A)
% Current number of equations to process: 2302
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [199] rd(rd(mult(A,B),mult(A,A)),rd(B,A)) -> rd(A,rd(B,rd(B,A)))
% Current number of equations to process: 2556
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [200]
% rd(rd(A,rd(rd(A,B),A)),rd(unit,rd(rd(A,B),A))) -> rd(rd(A,B),rd(unit,B))
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 154
% Rule [184]
% mult(rd(mult(rd(unit,A),B),rd(B,A)),B) -> mult(mult(rd(unit,A),B),A) is composed into 
% [184]
% mult(rd(mult(rd(unit,A),B),rd(B,A)),B) ->
% mult(rd(unit,A),rd(mult(B,mult(A,A)),A))
% Rule [89] mult(rd(rd(A,B),C),B) <-> rd(A,mult(mult(rd(unit,B),C),B)) is composed into 
% [89] mult(rd(rd(A,B),C),B) -> rd(A,mult(rd(unit,B),rd(mult(C,mult(B,B)),B)))
% Rule [87] mult(rd(A,B),C) <-> rd(mult(A,C),mult(mult(rd(unit,C),B),C)) is composed into 
% [87]
% mult(rd(A,B),C) <-> rd(mult(A,C),mult(rd(unit,C),rd(mult(B,mult(C,C)),C)))
% Rule [72] mult(rd(A,B),C) <-> rd(mult(A,mult(mult(rd(unit,B),C),B)),B) is composed into 
% [72]
% mult(rd(A,B),C) <-> rd(mult(A,mult(rd(unit,B),rd(mult(C,mult(B,B)),B))),B)
% Rule [35] ld(A,B) -> mult(mult(rd(unit,A),rd(B,A)),A) is composed into 
% [35] ld(A,B) -> mult(rd(unit,A),rd(mult(rd(B,A),mult(A,A)),A))
% Rule [23]
% mult(mult(A,rd(C,B)),B) <->
% mult(mult(A,B),mult(mult(rd(unit,B),rd(C,B)),B)) is composed into 
% [23]
% mult(mult(A,rd(C,B)),B) ->
% mult(mult(A,B),mult(rd(unit,B),rd(mult(rd(C,B),mult(B,B)),B)))
% Rule [22] mult(mult(rd(A,B),C),B) <-> mult(A,mult(mult(rd(unit,B),C),B)) is composed into 
% [22]
% mult(mult(rd(A,B),C),B) -> mult(A,mult(rd(unit,B),rd(mult(C,mult(B,B)),B)))
% Rule [19]
% mult(rd(mult(A,B),A),C) <->
% mult(A,mult(B,mult(mult(rd(unit,A),rd(C,A)),A))) is composed into 
% [19]
% mult(rd(mult(A,B),A),C) <->
% mult(A,mult(B,mult(rd(unit,A),rd(mult(rd(C,A),mult(A,A)),A))))
% Rule [10]
% asoc(A,B,C) ->
% mult(mult(rd(unit,mult(A,mult(B,C))),rd(mult(mult(A,B),C),mult(A,
% mult(B,C)))),
% mult(A,mult(B,C))) is composed into [10]
% asoc(A,B,C) ->
% mult(rd(unit,mult(A,mult(B,C))),
% rd(mult(rd(mult(mult(A,B),C),
% mult(A,mult(B,C))),mult(
% mult(A,
% mult(B,C)),
% mult(A,
% mult(B,C)))),
% mult(A,mult(B,C))))
% Rule [7] mult(mult(A,B),C) <-> mult(mult(A,C),mult(mult(rd(unit,C),B),C)) is composed into 
% [7]
% mult(mult(A,B),C) <->
% mult(mult(A,C),mult(rd(unit,C),rd(mult(B,mult(C,C)),C)))
% New rule produced :
% [201] mult(mult(rd(unit,A),B),C) <-> mult(rd(unit,A),rd(mult(B,mult(C,A)),A))
% Rule
% [39]
% mult(mult(rd(unit,A),rd(mult(mult(rd(A,B),C),B),A)),A) ->
% mult(mult(rd(unit,B),C),B) collapsed.
% Rule
% [69]
% mult(mult(rd(unit,mult(A,B)),rd(mult(mult(A,C),mult(mult(rd(unit,C),B),C)),
% mult(A,B))),mult(A,B)) -> C collapsed.
% Rule
% [70]
% rd(mult(rd(A,B),mult(B,C)),mult(mult(mult(rd(unit,B),rd(A,B)),B),C)) -> B
% collapsed.
% Rule
% [71]
% rd(mult(rd(mult(A,B),A),C),mult(B,mult(mult(rd(unit,A),rd(C,A)),A))) -> A
% collapsed.
% Rule [73] rd(mult(A,mult(mult(rd(unit,B),C),B)),B) <-> mult(rd(A,B),C)
% collapsed.
% Rule [76] mult(B,mult(mult(mult(rd(unit,B),A),B),C)) -> mult(A,mult(B,C))
% collapsed.
% Rule [86] rd(mult(A,C),mult(mult(rd(unit,C),B),C)) <-> mult(rd(A,B),C)
% collapsed.
% Rule [88] rd(A,mult(mult(rd(unit,B),C),B)) <-> mult(rd(rd(A,B),C),B)
% collapsed.
% Rule [90] rd(rd(A,mult(mult(rd(unit,B),C),B)),B) -> rd(rd(A,B),C) collapsed.
% Rule [127] mult(mult(rd(A,C),B),mult(mult(rd(unit,B),C),B)) -> mult(A,B)
% collapsed.
% Rule [131] rd(mult(mult(A,B),C),mult(mult(rd(unit,C),B),C)) -> mult(A,C)
% collapsed.
% Rule
% [132]
% mult(A,mult(mult(mult(rd(rd(unit,B),rd(A,B)),B),C),mult(mult(rd(unit,B),
% rd(A,B)),B))) ->
% mult(mult(B,C),mult(mult(rd(unit,B),rd(A,B)),B)) collapsed.
% Rule
% [133]
% mult(mult(A,mult(mult(rd(unit,B),rd(C,B)),B)),mult(mult(mult(rd(rd(unit,B),
% rd(C,B)),B),B),
% mult(mult(rd(unit,B),rd(C,B)),B)))
% -> mult(mult(A,B),mult(mult(rd(unit,B),rd(C,B)),B)) collapsed.
% Rule
% [141]
% mult(mult(rd(A,mult(mult(rd(unit,B),rd(C,B)),B)),B),mult(mult(rd(unit,B),
% rd(C,B)),B)) ->
% mult(A,mult(mult(mult(rd(rd(unit,B),rd(C,B)),B),B),mult(mult(rd(unit,B),
% rd(C,B)),B)))
% collapsed.
% Rule [152] rd(rd(mult(A,mult(mult(rd(unit,B),C),B)),B),C) -> rd(A,B)
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(d,e),rd(mult(rd(rd(unit,mult(d,e)),rd(rd(mult(mult(a,mult(b,c)),
% mult(mult(d,e),mult(d,e))),
% mult(d,e)),mult(d,e))),
% rd(mult(rd(rd(rd(mult(mult(mult(a,c),mult(rd(unit,c),
% rd(mult(b,mult(c,c)),c))),
% rd(rd(rd(mult(mult(d,e),mult(mult(d,e),
% mult(d,e))),
% mult(d,e)),mult(d,e)),rd(unit,
% mult(d,e)))),
% mult(d,e)),mult(d,e)),rd(mult(rd(mult(a,
% mult(b,c)),
% mult(d,e)),
% mult(mult(d,e),
% mult(d,e))),
% mult(d,e))),rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(b,c)),
% mult(
% mult(d,e),
% mult(d,e))),
% mult(d,e)),
% mult(
% rd(unit,
% mult(d,e)),
% rd(
% rd(
% mult(
% mult(
% mult(a,
% mult(b,c)),
% mult(
% mult(d,e),
% mult(d,e))),
% rd(
% rd(
% rd(
% mult(
% mult(d,e),
% mult(
% mult(d,e),
% mult(d,e))),
% mult(d,e)),
% mult(d,e)),
% rd(unit,
% mult(d,e)))),
% mult(d,e)),
% mult(d,e)))),
% mult(d,e))),
% rd(mult(mult(a,mult(b,c)),mult(mult(d,e),mult(d,e))),
% mult(d,e)))),rd(unit,mult(d,e)))) = mult(mult(rd(mult(d,e),
% rd(mult(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(unit,e))),
% mult(mult(
% rd(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(unit,e)))),
% mult(rd(unit,mult(
% mult(
% rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(
% mult(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(unit,e)))),
% rd(mult(mult(rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% rd(rd(mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(
% mult(a,c),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(
% rd(unit,c),
% rd(
% mult(b,
% mult(c,c)),c)),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e),
% mult(
% rd(unit,
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)),
% rd(
% mult(
% rd(
% mult(
% rd(
% mult(d,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e))),e),
% rd(
% mult(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% rd(
% mult(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),
% mult(
% rd(unit,
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),
% rd(
% mult(
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% mult(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% mult(
% rd(unit,
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)),
% rd(
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e),
% rd(
% mult(
% rd(
% rd(
% mult(
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e),
% mult(
% rd(e,
% rd(unit,
% rd(unit,e))),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),
% mult(e,
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),
% rd(
% mult(
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e),
% mult(e,
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),
% mult(
% rd(unit,
% rd(unit,
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),
% rd(
% mult(e,
% mult(
% rd(unit,
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)),
% rd(unit,
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)))),
% rd(unit,
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))))),
% rd(unit,
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)))),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)))),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))))),e),e),e))),e)),
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)))),e)),
% mult(
% rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(
% rd(unit,e),
% rd(mult(
% rd(
% mult(d,
% mult(e,e)),e),
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)),e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))))),
% mult(mult(mult(
% rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(mult(
% rd(rd(unit,e),
% rd(rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(unit,e))),
% mult(mult(rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(rd(rd(unit,e),
% rd(rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(unit,e))))),
% mult(mult(rd(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(rd(rd(unit,e),
% rd(rd(mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(rd(unit,e),
% rd(rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(
% rd(e,
% rd(unit,
% rd(unit,e))),e),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,mult(e,e)),e))),
% rd(unit,e))))))
% 
% Current number of equations to process: 2924
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [202] mult(rd(unit,A),rd(mult(B,mult(C,A)),A)) <-> mult(mult(rd(unit,A),B),C)
% Current number of equations to process: 2924
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [203] rd(rd(rd(rd(A,B),B),rd(unit,B)),A) -> rd(unit,rd(A,rd(A,B)))
% Current number of equations to process: 3179
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [204] rd(rd(rd(A,B),rd(C,B)),rd(mult(B,A),C)) -> rd(unit,B)
% Current number of equations to process: 3305
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [205] rd(rd(unit,rd(A,B)),rd(mult(B,B),A)) -> rd(unit,B)
% Current number of equations to process: 3351
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [206] rd(rd(unit,A),rd(mult(B,B),mult(A,B))) -> rd(unit,B)
% Current number of equations to process: 3564
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [207] rd(rd(A,B),rd(rd(mult(B,A),B),B)) -> rd(A,rd(mult(B,A),B))
% Current number of equations to process: 3755
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [208]
% rd(mult(mult(A,B),mult(rd(unit,C),rd(mult(A,mult(C,C)),C))),C) <->
% mult(A,rd(B,mult(rd(unit,A),rd(mult(rd(C,A),mult(A,A)),A))))
% Current number of equations to process: 3868
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [209]
% mult(A,rd(B,mult(rd(unit,A),rd(mult(rd(C,A),mult(A,A)),A)))) <->
% rd(mult(mult(A,B),mult(rd(unit,C),rd(mult(A,mult(C,C)),C))),C)
% Current number of equations to process: 3868
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [210]
% rd(mult(A,mult(mult(B,A),mult(rd(unit,A),rd(mult(rd(C,A),mult(A,A)),A)))),C)
% -> rd(mult(A,mult(B,A)),A)
% Current number of equations to process: 4183
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [211]
% mult(A,mult(rd(B,C),A)) <->
% rd(mult(mult(A,mult(B,A)),mult(rd(unit,mult(C,A)),rd(mult(A,mult(mult(C,A),
% mult(C,A))),
% mult(C,A)))),mult(C,A))
% Current number of equations to process: 4365
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [212]
% rd(mult(mult(A,mult(B,A)),mult(rd(unit,mult(C,A)),rd(mult(A,mult(mult(C,A),
% mult(C,A))),
% mult(C,A)))),mult(C,A)) <->
% mult(A,mult(rd(B,C),A))
% Current number of equations to process: 4365
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [213]
% mult(A,rd(unit,mult(B,A))) <->
% rd(mult(A,A),rd(mult(B,A),mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))))
% Rule [119] mult(A,rd(unit,mult(rd(A,rd(unit,rd(unit,A))),A))) -> unit
% collapsed.
% Rule
% [193] mult(A,rd(unit,mult(mult(B,rd(unit,A)),A))) -> rd(mult(A,A),mult(B,A))
% collapsed.
% Current number of equations to process: 4763
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [214] rd(rd(rd(A,B),C),rd(mult(B,A),mult(C,B))) -> rd(unit,B)
% Current number of equations to process: 4901
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [215] rd(rd(A,rd(B,C)),rd(mult(C,mult(A,C)),B)) -> rd(unit,C)
% Current number of equations to process: 1142
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [216] rd(rd(A,B),rd(mult(C,mult(A,C)),mult(B,C))) -> rd(unit,C)
% Current number of equations to process: 1349
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [217]
% mult(A,mult(B,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A)))) -> rd(mult(A,B),A)
% Current number of equations to process: 1563
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [218]
% mult(A,mult(B,mult(rd(unit,A),rd(mult(C,mult(A,A)),A)))) <->
% mult(rd(mult(A,B),A),mult(C,A))
% Current number of equations to process: 1705
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [219]
% mult(rd(mult(A,B),A),mult(C,A)) <->
% mult(A,mult(B,mult(rd(unit,A),rd(mult(C,mult(A,A)),A))))
% Current number of equations to process: 1705
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [220]
% rd(mult(A,mult(rd(unit,B),rd(mult(C,mult(B,B)),B))),C) <->
% mult(rd(A,B),rd(mult(C,B),C))
% Current number of equations to process: 2050
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [221]
% mult(rd(A,B),rd(mult(C,B),C)) <->
% rd(mult(A,mult(rd(unit,B),rd(mult(C,mult(B,B)),B))),C)
% Current number of equations to process: 2050
% Current number of ordered equations: 0
% Current number of rules: 158
% Rule [211]
% mult(A,mult(rd(B,C),A)) <->
% rd(mult(mult(A,mult(B,A)),mult(rd(unit,mult(C,A)),rd(mult(A,mult(
% mult(C,A),
% mult(C,A))),
% mult(C,A)))),mult(C,A)) is composed into 
% [211]
% mult(A,mult(rd(B,C),A)) <->
% mult(A,rd(mult(B,A),mult(rd(unit,A),rd(mult(C,mult(A,A)),A))))
% New rule produced :
% [222]
% rd(mult(mult(A,B),mult(rd(unit,mult(C,A)),rd(mult(A,mult(mult(C,A),mult(C,A))),
% mult(C,A)))),mult(C,A)) ->
% mult(A,rd(B,mult(rd(unit,A),rd(mult(C,mult(A,A)),A))))
% Rule
% [212]
% rd(mult(mult(A,mult(B,A)),mult(rd(unit,mult(C,A)),rd(mult(A,mult(mult(C,A),
% mult(C,A))),
% mult(C,A)))),mult(C,A)) <->
% mult(A,mult(rd(B,C),A)) collapsed.
% Current number of equations to process: 2379
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [223]
% rd(mult(mult(A,B),mult(rd(unit,mult(B,C)),rd(mult(B,mult(mult(B,C),mult(B,C))),
% mult(B,C)))),mult(B,C)) ->
% mult(B,rd(mult(rd(unit,B),rd(mult(A,mult(B,B)),B)),C))
% Current number of equations to process: 2379
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [224]
% rd(mult(A,mult(B,rd(unit,C))),mult(A,B)) -> rd(mult(A,B),mult(A,mult(B,C)))
% Current number of equations to process: 2827
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [225]
% rd(mult(mult(A,rd(unit,B)),C),A) -> mult(rd(A,mult(A,B)),rd(mult(A,C),A))
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [226]
% mult(B,mult(mult(rd(unit,B),A),C)) <->
% mult(rd(mult(A,B),mult(B,B)),mult(B,C))
% Current number of equations to process: 3097
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [227]
% mult(rd(mult(A,B),mult(B,B)),mult(B,C)) <->
% mult(B,mult(mult(rd(unit,B),A),C))
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [228]
% mult(rd(A,B),rd(mult(C,B),mult(B,B))) <-> rd(mult(A,mult(rd(unit,B),C)),B)
% Current number of equations to process: 3482
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [229]
% rd(mult(A,mult(rd(unit,B),C)),B) <-> mult(rd(A,B),rd(mult(C,B),mult(B,B)))
% Current number of equations to process: 3482
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [230]
% mult(rd(A,B),A) <->
% mult(A,rd(rd(rd(unit,A),rd(rd(mult(rd(B,A),mult(A,A)),A),A)),rd(unit,A)))
% Rule [54] mult(rd(rd(A,B),A),rd(A,B)) -> mult(rd(A,B),rd(unit,B)) collapsed.
% Current number of equations to process: 3855
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [231] rd(rd(A,B),rd(mult(C,B),mult(B,B))) <-> rd(rd(A,mult(rd(unit,B),C)),B)
% Current number of equations to process: 4058
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [232] rd(rd(A,mult(rd(unit,B),C)),B) <-> rd(rd(A,B),rd(mult(C,B),mult(B,B)))
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [233]
% rd(A,rd(mult(B,C),mult(C,C))) <-> rd(rd(mult(A,C),mult(rd(unit,C),B)),C)
% Current number of equations to process: 4411
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [234]
% rd(rd(mult(A,C),mult(rd(unit,C),B)),C) <-> rd(A,rd(mult(B,C),mult(C,C)))
% Current number of equations to process: 4411
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [235] rd(rd(A,mult(A,B)),rd(mult(A,C),A)) <-> rd(rd(mult(A,rd(unit,B)),C),A)
% Current number of equations to process: 4827
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [236] rd(rd(mult(A,rd(unit,B)),C),A) <-> rd(rd(A,mult(A,B)),rd(mult(A,C),A))
% Current number of equations to process: 4827
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [237] rd(rd(mult(A,mult(rd(unit,A),B)),A),A) -> rd(B,rd(mult(A,mult(A,A)),A))
% Current number of equations to process: 1823
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [238] rd(rd(rd(mult(A,B),A),B),A) -> rd(unit,rd(mult(A,B),rd(mult(A,B),A)))
% Current number of equations to process: 1921
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [239] rd(unit,rd(A,mult(rd(A,B),C))) -> rd(rd(rd(A,B),rd(B,C)),rd(A,B))
% Current number of equations to process: 2041
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [240] rd(unit,rd(mult(rd(A,B),C),A)) -> rd(rd(rd(A,B),rd(C,B)),rd(A,B))
% Current number of equations to process: 2041
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [241] rd(unit,rd(rd(mult(A,B),C),rd(A,C))) -> rd(rd(rd(A,B),C),rd(A,C))
% Current number of equations to process: 2446
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [242] rd(A,mult(A,rd(B,mult(B,C)))) -> rd(mult(A,rd(B,rd(unit,C))),mult(A,B))
% Current number of equations to process: 2696
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [243]
% rd(mult(A,mult(B,C)),mult(mult(rd(unit,B),rd(mult(A,mult(B,B)),B)),C)) -> B
% Current number of equations to process: 2827
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [244] rd(A,mult(rd(A,B),mult(B,C))) -> rd(rd(mult(A,rd(unit,C)),B),rd(A,B))
% Current number of equations to process: 2987
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [245]
% mult(rd(unit,A),mult(B,mult(C,A))) <->
% rd(mult(mult(rd(unit,A),B),C),rd(unit,A))
% Current number of equations to process: 3204
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [246]
% rd(mult(mult(rd(unit,A),B),C),rd(unit,A)) <->
% mult(rd(unit,A),mult(B,mult(C,A)))
% Current number of equations to process: 3204
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [247]
% mult(A,rd(mult(mult(rd(unit,A),B),mult(rd(unit,rd(unit,A)),rd(mult(A,
% mult(rd(unit,A),
% rd(unit,A))),
% rd(unit,A)))),
% rd(unit,A))) <-> mult(mult(B,A),A)
% Current number of equations to process: 3522
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [248]
% mult(mult(B,A),A) <->
% mult(A,rd(mult(mult(rd(unit,A),B),mult(rd(unit,rd(unit,A)),rd(mult(A,
% mult(rd(unit,A),
% rd(unit,A))),
% rd(unit,A)))),
% rd(unit,A)))
% Current number of equations to process: 3522
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [249] rd(rd(rd(A,B),rd(unit,B)),mult(rd(unit,B),A)) -> rd(unit,rd(unit,B))
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [250] rd(rd(rd(A,rd(B,A)),rd(unit,rd(B,A))),B) -> rd(unit,rd(B,A))
% Current number of equations to process: 4021
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [251] rd(mult(A,rd(unit,rd(unit,B))),mult(A,mult(B,B))) -> rd(A,mult(A,B))
% Current number of equations to process: 4223
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [252]
% rd(rd(A,rd(unit,rd(mult(A,A),mult(rd(unit,A),rd(mult(rd(unit,rd(unit,A)),
% mult(A,A)),A))))),A) ->
% rd(unit,rd(unit,A))
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [253]
% rd(A,mult(A,rd(unit,rd(mult(B,B),mult(rd(unit,B),rd(mult(rd(unit,rd(unit,B)),
% mult(B,B)),B)))))) ->
% rd(mult(A,B),A)
% Current number of equations to process: 4431
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [254]
% mult(A,mult(B,rd(unit,rd(mult(A,A),mult(rd(unit,A),rd(mult(rd(unit,rd(unit,A)),
% mult(A,A)),A)))))) ->
% rd(mult(A,B),A)
% Current number of equations to process: 4553
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [255]
% rd(unit,rd(mult(rd(unit,A),mult(rd(unit,rd(unit,rd(unit,rd(unit,A)))),
% rd(rd(mult(rd(unit,A),rd(rd(unit,A),A)),rd(
% rd(unit,
% rd(unit,A)),A)),
% rd(unit,rd(unit,rd(unit,A)))))),rd(unit,rd(unit,
% rd(unit,A)))))
% -> A
% Current number of equations to process: 4752
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [256]
% mult(A,rd(B,rd(unit,rd(mult(A,A),mult(rd(unit,A),rd(mult(rd(unit,rd(unit,A)),
% mult(A,A)),A)))))) ->
% mult(A,rd(B,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))))
% Current number of equations to process: 4881
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [257]
% mult(B,mult(mult(rd(unit,B),rd(A,B)),C)) -> mult(rd(A,mult(B,B)),mult(B,C))
% Current number of equations to process: 1149
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [258]
% mult(rd(A,B),rd(C,mult(B,B))) <-> rd(mult(A,mult(rd(unit,B),rd(C,B))),B)
% Current number of equations to process: 1397
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [259]
% rd(mult(A,mult(rd(unit,B),rd(C,B))),B) <-> mult(rd(A,B),rd(C,mult(B,B)))
% Current number of equations to process: 1397
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [260] rd(rd(A,mult(rd(unit,B),rd(C,B))),B) -> rd(rd(A,B),rd(C,mult(B,B)))
% Rule [174] rd(rd(B,mult(rd(unit,B),rd(A,B))),B) -> rd(unit,rd(A,mult(B,B)))
% collapsed.
% Current number of equations to process: 1884
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [261]
% mult(A,rd(unit,B)) <->
% rd(mult(A,A),rd(B,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))))
% Rule
% [213]
% mult(A,rd(unit,mult(B,A))) <->
% rd(mult(A,A),rd(mult(B,A),mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))))
% collapsed.
% Current number of equations to process: 2100
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [262]
% rd(mult(A,A),rd(B,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A)))) <->
% mult(A,rd(unit,B))
% Current number of equations to process: 2100
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [263]
% mult(A,mult(rd(unit,A),rd(B,A))) <->
% rd(mult(B,A),rd(A,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))))
% Current number of equations to process: 2396
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [264]
% rd(mult(B,A),rd(A,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A)))) <->
% mult(A,mult(rd(unit,A),rd(B,A)))
% Current number of equations to process: 2396
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [265]
% rd(A,mult(rd(unit,C),rd(mult(mult(C,B),mult(C,C)),C))) ->
% rd(A,rd(B,mult(rd(unit,C),rd(rd(unit,rd(unit,C)),C))))
% Current number of equations to process: 2777
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [266]
% rd(mult(rd(A,B),mult(rd(rd(B,C),B),rd(mult(C,rd(mult(mult(B,C),C),B)),
% rd(mult(B,C),B)))),rd(mult(B,C),B)) ->
% rd(A,mult(rd(unit,C),rd(mult(B,mult(C,C)),C)))
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [267]
% rd(mult(A,B),mult(rd(unit,C),rd(mult(B,mult(C,C)),C))) <->
% rd(mult(A,C),mult(rd(unit,C),rd(mult(rd(mult(B,C),B),mult(C,C)),C)))
% Current number of equations to process: 3290
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [268]
% rd(mult(A,C),mult(rd(unit,C),rd(mult(rd(mult(B,C),B),mult(C,C)),C))) <->
% rd(mult(A,B),mult(rd(unit,C),rd(mult(B,mult(C,C)),C)))
% Current number of equations to process: 3290
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [269]
% rd(B,rd(A,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A)))) <->
% mult(A,mult(rd(unit,A),rd(rd(B,A),A)))
% Current number of equations to process: 3633
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [270]
% mult(A,mult(rd(unit,A),rd(rd(B,A),A))) <->
% rd(B,rd(A,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))))
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [271] rd(rd(A,rd(unit,C)),rd(B,C)) <-> rd(rd(A,rd(B,C)),rd(rd(B,C),B))
% Current number of equations to process: 4067
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [272] rd(rd(A,rd(B,C)),rd(rd(B,C),B)) <-> rd(rd(A,rd(unit,C)),rd(B,C))
% Current number of equations to process: 4067
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [273]
% rd(rd(A,rd(rd(rd(unit,B),rd(rd(mult(C,mult(B,B)),B),B)),rd(unit,B))),B) ->
% rd(rd(A,B),rd(B,mult(C,B)))
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [274]
% rd(mult(A,rd(B,C)),mult(rd(unit,rd(B,C)),rd(mult(rd(rd(B,C),B),mult(rd(B,C),
% rd(B,C))),
% rd(B,C)))) ->
% rd(mult(A,rd(B,C)),rd(unit,C))
% Current number of equations to process: 4795
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [275]
% rd(mult(A,B),mult(rd(unit,B),rd(mult(rd(B,mult(C,B)),mult(B,B)),B))) ->
% rd(mult(A,B),rd(rd(rd(unit,B),rd(rd(mult(C,mult(B,B)),B),B)),rd(unit,B)))
% Current number of equations to process: 1708
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [276]
% rd(mult(A,B),mult(A,mult(B,B))) ->
% rd(A,mult(A,rd(B,rd(B,rd(unit,rd(unit,B))))))
% Current number of equations to process: 1908
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [277] rd(rd(mult(A,B),rd(unit,B)),B) -> rd(A,rd(rd(B,rd(unit,rd(unit,B))),B))
% Current number of equations to process: 2077
% Current number of ordered equations: 0
% Current number of rules: 210
% Rule [277]
% rd(rd(mult(A,B),rd(unit,B)),B) -> rd(A,rd(rd(B,rd(unit,rd(unit,B))),B)) is composed into 
% [277]
% rd(rd(mult(A,B),rd(unit,B)),B) ->
% rd(A,rd(unit,rd(B,rd(B,rd(unit,rd(unit,B))))))
% Rule [101] rd(A,mult(A,A)) -> rd(rd(A,rd(unit,rd(unit,A))),A) is composed into 
% [101] rd(A,mult(A,A)) -> rd(unit,rd(A,rd(A,rd(unit,rd(unit,A)))))
% New rule produced :
% [278]
% rd(rd(A,rd(unit,rd(unit,A))),A) -> rd(unit,rd(A,rd(A,rd(unit,rd(unit,A)))))
% Rule [122] mult(rd(rd(A,rd(unit,rd(unit,A))),A),mult(A,A)) -> A collapsed.
% Rule [177] rd(unit,rd(rd(A,rd(unit,rd(unit,A))),A)) -> rd(rd(A,rd(unit,A)),A)
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(d,e),rd(mult(rd(rd(unit,mult(d,e)),rd(rd(mult(mult(a,mult(b,c)),
% mult(mult(d,e),mult(d,e))),
% mult(d,e)),mult(d,e))),
% rd(mult(rd(rd(rd(mult(mult(mult(a,c),mult(rd(unit,c),
% rd(mult(b,mult(c,c)),c))),
% rd(rd(rd(mult(mult(d,e),mult(mult(d,e),
% mult(d,e))),
% mult(d,e)),mult(d,e)),rd(unit,
% mult(d,e)))),
% mult(d,e)),mult(d,e)),rd(mult(rd(mult(a,
% mult(b,c)),
% mult(d,e)),
% mult(mult(d,e),
% mult(d,e))),
% mult(d,e))),rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(b,c)),
% mult(
% mult(d,e),
% mult(d,e))),
% mult(d,e)),
% mult(
% rd(unit,
% mult(d,e)),
% rd(
% rd(
% mult(
% mult(
% mult(a,
% mult(b,c)),
% mult(
% mult(d,e),
% mult(d,e))),
% rd(
% rd(
% rd(
% mult(
% mult(d,e),
% mult(
% mult(d,e),
% mult(d,e))),
% mult(d,e)),
% mult(d,e)),
% rd(unit,
% mult(d,e)))),
% mult(d,e)),
% mult(d,e)))),
% mult(d,e))),
% rd(mult(mult(a,mult(b,c)),mult(mult(d,e),mult(d,e))),
% mult(d,e)))),rd(unit,mult(d,e)))) = mult(mult(rd(mult(d,e),
% rd(mult(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(unit,e))),
% mult(mult(
% rd(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(unit,e)))),
% mult(rd(unit,mult(
% mult(
% rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(
% mult(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(unit,e)))),
% rd(mult(mult(rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% rd(rd(mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(
% mult(a,c),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(
% rd(unit,c),
% rd(
% mult(b,
% mult(c,c)),c)),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e),
% mult(
% rd(unit,
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)),
% rd(
% mult(
% rd(
% mult(
% rd(
% mult(d,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e))),e),
% rd(
% mult(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% rd(
% mult(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% mult(
% rd(unit,
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% mult(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% mult(
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)),
% rd(
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e),
% rd(
% mult(
% rd(
% rd(
% mult(
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e),
% mult(
% rd(e,
% rd(unit,
% rd(unit,e))),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% mult(e,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e),
% mult(e,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% mult(
% rd(unit,
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(e,
% mult(
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)),
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))))),
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))))),e),e),e))),e)),
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)))),e)),
% mult(
% rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(
% rd(unit,e),
% rd(mult(
% rd(
% mult(d,
% mult(e,e)),e),
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)),e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))))),
% mult(mult(mult(
% rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(mult(
% rd(rd(unit,e),
% rd(rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(unit,e))),
% mult(mult(rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(rd(rd(unit,e),
% rd(rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(unit,e))))),
% mult(mult(rd(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(rd(rd(unit,e),
% rd(rd(mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(rd(unit,e),
% rd(rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,mult(e,e)),e))),
% rd(unit,e))))))
% 
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [279] mult(rd(unit,rd(A,rd(A,rd(unit,rd(unit,A))))),mult(A,A)) -> A
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [280] rd(unit,rd(mult(A,B),rd(mult(A,B),A))) <-> rd(rd(A,rd(mult(B,A),B)),A)
% Current number of equations to process: 2482
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [281] rd(rd(A,rd(mult(B,A),B)),A) <-> rd(unit,rd(mult(A,B),rd(mult(A,B),A)))
% Current number of equations to process: 2482
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [282]
% rd(mult(rd(unit,mult(A,B)),mult(rd(unit,rd(B,mult(A,B))),rd(mult(B,mult(
% rd(B,
% mult(A,B)),
% rd(B,
% mult(A,B)))),
% rd(B,mult(A,B))))),
% rd(B,mult(A,B))) -> rd(rd(rd(unit,mult(A,B)),rd(B,mult(A,B))),rd(unit,B))
% Current number of equations to process: 2814
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [283]
% rd(A,rd(rd(rd(unit,B),rd(rd(mult(rd(C,B),mult(B,B)),B),B)),rd(unit,B))) <->
% rd(A,mult(rd(unit,B),rd(mult(rd(B,C),mult(B,B)),B)))
% Current number of equations to process: 3101
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [284]
% rd(A,mult(rd(unit,B),rd(mult(rd(B,C),mult(B,B)),B))) <->
% rd(A,rd(rd(rd(unit,B),rd(rd(mult(rd(C,B),mult(B,B)),B),B)),rd(unit,B)))
% Rule
% [274]
% rd(mult(A,rd(B,C)),mult(rd(unit,rd(B,C)),rd(mult(rd(rd(B,C),B),mult(rd(B,C),
% rd(B,C))),
% rd(B,C)))) ->
% rd(mult(A,rd(B,C)),rd(unit,C)) collapsed.
% Current number of equations to process: 3102
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [285]
% rd(mult(rd(unit,A),rd(unit,A)),rd(rd(A,rd(A,rd(unit,rd(unit,A)))),A)) ->
% rd(rd(unit,A),A)
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [286] rd(rd(rd(unit,mult(A,B)),rd(B,mult(A,B))),A) -> rd(unit,mult(A,B))
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [287]
% rd(rd(unit,B),mult(rd(unit,rd(unit,B)),rd(mult(rd(rd(A,B),rd(unit,B)),
% mult(rd(unit,B),rd(unit,B))),
% rd(unit,B)))) -> rd(rd(unit,A),B)
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [288]
% mult(A,rd(A,mult(rd(unit,A),rd(mult(rd(unit,rd(unit,A)),mult(A,A)),A)))) ->
% rd(mult(A,A),mult(rd(unit,A),rd(mult(rd(unit,rd(unit,A)),mult(A,A)),A)))
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [289]
% rd(unit,mult(A,rd(rd(unit,rd(unit,A)),A))) ->
% rd(unit,rd(A,rd(A,rd(unit,rd(unit,A)))))
% Current number of equations to process: 4454
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [290]
% rd(A,rd(rd(rd(unit,A),rd(rd(rd(unit,rd(unit,A)),A),A)),rd(unit,A))) -> unit
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [291]
% rd(A,rd(unit,rd(unit,rd(mult(A,A),mult(rd(unit,A),rd(mult(rd(unit,rd(unit,A)),
% mult(A,A)),A)))))) ->
% unit
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [292]
% rd(mult(rd(A,B),A),rd(rd(rd(unit,A),rd(rd(mult(rd(B,A),mult(A,A)),A),A)),
% rd(unit,A))) -> A
% Current number of equations to process: 4815
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [293]
% mult(A,mult(rd(rd(rd(unit,A),rd(rd(mult(B,mult(A,A)),A),A)),rd(unit,A)),C))
% -> mult(rd(A,mult(B,A)),mult(A,C))
% Current number of equations to process: 4937
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [294]
% mult(mult(A,B),mult(rd(unit,B),rd(mult(rd(B,mult(C,B)),mult(B,B)),B))) ->
% mult(mult(A,B),rd(rd(rd(unit,B),rd(rd(mult(C,mult(B,B)),B),B)),rd(unit,B)))
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [295]
% mult(rd(A,B),rd(B,mult(C,B))) <->
% rd(mult(A,rd(rd(rd(unit,B),rd(rd(mult(C,mult(B,B)),B),B)),rd(unit,B))),B)
% Current number of equations to process: 2281
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [296]
% rd(mult(A,rd(rd(rd(unit,B),rd(rd(mult(C,mult(B,B)),B),B)),rd(unit,B))),B) <->
% mult(rd(A,B),rd(B,mult(C,B)))
% Current number of equations to process: 2281
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [297]
% mult(A,mult(mult(rd(rd(unit,A),B),C),A)) -> mult(rd(A,mult(B,A)),mult(C,A))
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [298]
% rd(mult(A,mult(B,rd(unit,A))),A) -> rd(rd(mult(A,mult(B,A)),A),mult(A,A))
% Current number of equations to process: 3028
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [299]
% rd(rd(mult(A,mult(B,A)),A),mult(mult(B,A),mult(rd(unit,A),rd(rd(unit,
% rd(unit,A)),A))))
% -> A
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [300]
% mult(A,mult(B,mult(mult(C,A),mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A)))))
% <-> rd(mult(mult(A,B),mult(C,A)),A)
% Current number of equations to process: 3344
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [301]
% rd(mult(mult(A,B),mult(C,A)),A) <->
% mult(A,mult(B,mult(mult(C,A),mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A)))))
% Current number of equations to process: 3344
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [302]
% rd(mult(A,B),rd(mult(C,B),mult(rd(unit,B),rd(rd(unit,rd(unit,B)),B)))) <->
% rd(mult(A,B),rd(mult(C,rd(rd(mult(B,mult(B,B)),B),B)),rd(unit,B)))
% Current number of equations to process: 3911
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [303]
% rd(mult(A,B),rd(mult(C,rd(rd(mult(B,mult(B,B)),B),B)),rd(unit,B))) <->
% rd(mult(A,B),rd(mult(C,B),mult(rd(unit,B),rd(rd(unit,rd(unit,B)),B))))
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [304]
% mult(mult(A,B),rd(mult(C,B),mult(rd(unit,B),rd(rd(unit,rd(unit,B)),B)))) <->
% mult(mult(A,B),rd(mult(C,rd(rd(mult(B,mult(B,B)),B),B)),rd(unit,B)))
% Current number of equations to process: 4367
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [305]
% mult(mult(A,B),rd(mult(C,rd(rd(mult(B,mult(B,B)),B),B)),rd(unit,B))) <->
% mult(mult(A,B),rd(mult(C,B),mult(rd(unit,B),rd(rd(unit,rd(unit,B)),B))))
% Current number of equations to process: 4367
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [306]
% mult(A,mult(rd(mult(B,A),mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))),C)) <->
% mult(mult(A,mult(B,A)),mult(A,C))
% Current number of equations to process: 4882
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [307]
% mult(mult(A,mult(B,A)),mult(A,C)) <->
% mult(A,mult(rd(mult(B,A),mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))),C))
% Current number of equations to process: 4882
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [308]
% mult(rd(A,B),mult(B,mult(C,B))) <->
% rd(mult(A,rd(mult(C,B),mult(rd(unit,B),rd(rd(unit,rd(unit,B)),B)))),B)
% Current number of equations to process: 1402
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [309]
% rd(mult(A,rd(mult(C,B),mult(rd(unit,B),rd(rd(unit,rd(unit,B)),B)))),B) <->
% mult(rd(A,B),mult(B,mult(C,B)))
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [310]
% rd(rd(A,B),mult(B,mult(C,B))) <->
% rd(rd(A,rd(mult(C,B),mult(rd(unit,B),rd(rd(unit,rd(unit,B)),B)))),B)
% Current number of equations to process: 2024
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [311]
% rd(rd(A,rd(mult(C,B),mult(rd(unit,B),rd(rd(unit,rd(unit,B)),B)))),B) <->
% rd(rd(A,B),mult(B,mult(C,B)))
% Current number of equations to process: 2024
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [312]
% mult(A,mult(mult(rd(B,rd(unit,A)),C),A)) -> mult(mult(A,mult(B,A)),mult(C,A))
% Current number of equations to process: 2587
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [313] mult(rd(rd(A,B),A),mult(rd(A,B),C)) -> mult(rd(A,B),mult(rd(unit,B),C))
% Current number of equations to process: 2830
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [314]
% rd(mult(rd(A,B),mult(rd(unit,mult(rd(A,B),C)),rd(mult(A,mult(mult(rd(A,B),C),
% mult(rd(A,B),C))),
% mult(rd(A,B),C)))),mult(
% rd(A,B),C))
% -> mult(rd(A,B),mult(rd(unit,C),B))
% Current number of equations to process: 2830
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [315] mult(rd(rd(A,B),A),rd(mult(A,C),B)) -> mult(rd(A,B),rd(C,B))
% Current number of equations to process: 2964
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [316] mult(rd(A,mult(A,B)),rd(B,mult(A,B))) -> rd(rd(A,mult(A,B)),A)
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [317] mult(rd(A,rd(B,C)),rd(rd(B,C),B)) -> rd(mult(A,rd(unit,C)),rd(B,C))
% Current number of equations to process: 4480
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [318] rd(rd(A,C),rd(mult(A,mult(C,B)),C)) -> rd(rd(mult(A,rd(unit,B)),C),A)
% Current number of equations to process: 4895
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [319] rd(rd(rd(A,rd(A,B)),B),rd(A,B)) -> rd(unit,rd(A,rd(A,rd(A,B))))
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [320] rd(rd(rd(unit,A),rd(B,A)),rd(rd(B,A),B)) -> rd(unit,rd(B,A))
% Current number of equations to process: 2288
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [321] rd(mult(A,B),mult(rd(unit,B),rd(mult(A,mult(B,B)),B))) -> B
% Current number of equations to process: 2561
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [322] rd(mult(rd(unit,A),rd(mult(B,mult(C,A)),A)),C) -> mult(rd(unit,A),B)
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [323] rd(mult(rd(unit,A),rd(mult(B,C),A)),rd(C,A)) -> mult(rd(unit,A),B)
% Current number of equations to process: 2968
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [324]
% mult(rd(A,mult(A,C)),mult(mult(A,C),B)) -> rd(mult(A,rd(B,C)),rd(unit,C))
% Rule [165] mult(rd(A,mult(A,B)),mult(mult(A,B),B)) -> rd(A,rd(unit,B))
% collapsed.
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [325]
% rd(unit,mult(A,B)) <->
% rd(rd(A,rd(B,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A)))),A)
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(d,e),rd(mult(rd(rd(unit,mult(d,e)),rd(rd(mult(mult(a,mult(b,c)),
% mult(mult(d,e),mult(d,e))),
% mult(d,e)),mult(d,e))),
% rd(mult(rd(rd(rd(mult(mult(mult(a,c),mult(rd(unit,c),
% rd(mult(b,mult(c,c)),c))),
% rd(rd(rd(mult(mult(d,e),mult(mult(d,e),
% mult(d,e))),
% mult(d,e)),mult(d,e)),rd(unit,
% mult(d,e)))),
% mult(d,e)),mult(d,e)),rd(mult(rd(mult(a,
% mult(b,c)),
% mult(d,e)),
% mult(mult(d,e),
% mult(d,e))),
% mult(d,e))),rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(b,c)),
% mult(
% mult(d,e),
% mult(d,e))),
% mult(d,e)),
% mult(
% rd(unit,
% mult(d,e)),
% rd(
% rd(
% mult(
% mult(
% mult(a,
% mult(b,c)),
% mult(
% mult(d,e),
% mult(d,e))),
% rd(
% rd(
% rd(
% mult(
% mult(d,e),
% mult(
% mult(d,e),
% mult(d,e))),
% mult(d,e)),
% mult(d,e)),
% rd(unit,
% mult(d,e)))),
% mult(d,e)),
% mult(d,e)))),
% mult(d,e))),
% rd(mult(mult(a,mult(b,c)),mult(mult(d,e),mult(d,e))),
% mult(d,e)))),rd(unit,mult(d,e)))) = mult(mult(rd(mult(d,e),
% rd(mult(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(unit,e))),
% mult(mult(
% rd(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(unit,e)))),
% mult(rd(rd(mult(
% rd(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(rd(mult(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(unit,e)),
% mult(rd(unit,
% mult(
% rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(
% mult(d,
% mult(e,e)),e)))),
% rd(rd(unit,
% rd(unit,
% mult(
% rd(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))))),
% mult(rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))))))),
% mult(rd(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e)))),
% rd(mult(mult(rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% rd(rd(mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(
% mult(a,c),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(
% rd(unit,c),
% rd(
% mult(b,
% mult(c,c)),c)),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e),
% mult(
% rd(unit,
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)),
% rd(
% mult(
% rd(
% mult(
% rd(
% mult(d,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e))),e),
% rd(
% mult(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% rd(
% mult(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% mult(
% rd(unit,
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% mult(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% mult(
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)),
% rd(
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e),
% rd(
% mult(
% rd(
% rd(
% mult(
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e),
% mult(
% rd(e,
% rd(unit,
% rd(unit,e))),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% mult(e,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e),
% mult(e,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% mult(
% rd(unit,
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(e,
% mult(
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)),
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))))),
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))))),e),e),e))),e)),
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)))),e)),
% mult(
% rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(
% rd(unit,e),
% rd(mult(
% rd(
% mult(d,
% mult(e,e)),e),
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)),e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))))),
% mult(mult(mult(
% rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(
% rd(unit,e),
% rd(
% mult(d,
% mult(e,e)),e))),
% rd(mult(
% rd(rd(unit,e),
% rd(rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(unit,e))),
% mult(mult(rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(rd(rd(unit,e),
% rd(rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(unit,e))))),
% mult(mult(rd(rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(rd(rd(unit,e),
% rd(rd(mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(rd(unit,e),
% rd(rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,mult(e,e)),e))),
% rd(unit,e))))))
% 
% Current number of equations to process: 3639
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [326]
% rd(rd(A,rd(B,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A)))),A) <->
% rd(unit,mult(A,B))
% Current number of equations to process: 3639
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [327] rd(B,mult(rd(unit,B),rd(mult(A,mult(B,B)),B))) <-> mult(rd(unit,A),B)
% Current number of equations to process: 4080
% Current number of ordered equations: 1
% Current number of rules: 256
% Rule [196] mult(rd(mult(A,A),B),A) <-> mult(A,mult(rd(unit,rd(B,A)),A)) is composed into 
% [196]
% mult(rd(mult(A,A),B),A) <->
% mult(A,rd(A,mult(rd(unit,A),rd(mult(rd(B,A),mult(A,A)),A))))
% New rule produced :
% [328] mult(rd(unit,A),B) <-> rd(B,mult(rd(unit,B),rd(mult(A,mult(B,B)),B)))
% Rule [170] mult(rd(unit,rd(A,B)),A) -> rd(rd(B,rd(A,B)),rd(unit,rd(A,B)))
% collapsed.
% Rule
% [171] mult(rd(unit,mult(A,B)),A) -> rd(rd(unit,mult(A,B)),rd(B,mult(A,B)))
% collapsed.
% Rule
% [172]
% rd(A,mult(rd(unit,rd(unit,A)),A)) -> mult(A,mult(rd(unit,A),rd(unit,A)))
% collapsed.
% Rule [175] mult(rd(unit,rd(A,mult(B,B))),B) -> rd(B,mult(rd(unit,B),rd(A,B)))
% collapsed.
% Rule [195] mult(A,mult(rd(unit,rd(B,A)),A)) <-> mult(rd(mult(A,A),B),A)
% collapsed.
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [329] mult(rd(unit,rd(B,A)),rd(B,C)) -> rd(rd(A,rd(B,A)),rd(C,rd(B,A)))
% Current number of equations to process: 4474
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [330] mult(rd(rd(A,B),A),rd(A,mult(C,B))) -> rd(mult(rd(A,B),rd(unit,B)),C)
% Current number of equations to process: 4913
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [331] mult(rd(A,mult(A,B)),rd(mult(A,B),C)) -> rd(mult(A,rd(unit,B)),rd(C,B))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [332]
% rd(unit,rd(mult(A,mult(B,A)),mult(C,A))) <-> rd(rd(A,mult(rd(B,C),A)),A)
% Current number of equations to process: 2366
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [333]
% rd(rd(A,mult(rd(B,C),A)),A) <-> rd(unit,rd(mult(A,mult(B,A)),mult(C,A)))
% Rule [188] rd(rd(A,mult(rd(rd(unit,A),B),A)),A) -> rd(unit,rd(A,mult(B,A)))
% collapsed.
% Rule [197] rd(rd(A,mult(rd(B,rd(unit,A)),A)),A) -> rd(unit,mult(A,mult(B,A)))
% collapsed.
% Current number of equations to process: 2366
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [334] rd(rd(A,mult(rd(unit,B),A)),A) <-> rd(unit,rd(mult(A,A),mult(B,A)))
% Current number of equations to process: 2419
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [335] rd(unit,rd(mult(A,A),mult(B,A))) <-> rd(rd(A,mult(rd(unit,B),A)),A)
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [336]
% rd(rd(mult(mult(A,A),mult(rd(unit,B),rd(mult(A,mult(B,B)),B))),B),rd(A,
% mult(
% rd(unit,A),
% rd(
% mult(
% rd(B,A),
% mult(A,A)),A))))
% -> A
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [337]
% rd(mult(A,mult(mult(rd(unit,A),B),C)),A) <-> rd(mult(B,mult(C,A)),mult(A,A))
% Current number of equations to process: 3794
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [338]
% rd(mult(B,mult(C,A)),mult(A,A)) <-> rd(mult(A,mult(mult(rd(unit,A),B),C)),A)
% Current number of equations to process: 3794
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [339] mult(A,mult(mult(mult(rd(unit,A),B),C),A)) -> mult(B,mult(C,A))
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [340] rd(unit,rd(rd(mult(A,A),B),A)) <-> rd(rd(A,rd(mult(B,A),B)),rd(A,B))
% Current number of equations to process: 4472
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [341] rd(rd(A,rd(mult(B,A),B)),rd(A,B)) <-> rd(unit,rd(rd(mult(A,A),B),A))
% Current number of equations to process: 4472
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [342] rd(mult(rd(A,B),rd(C,B)),rd(mult(A,C),B)) -> rd(rd(A,B),A)
% Current number of equations to process: 4925
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [343] rd(rd(rd(A,mult(A,B)),A),rd(B,mult(A,B))) -> rd(A,mult(A,B))
% Current number of equations to process: 1662
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [344] rd(A,mult(rd(unit,B),rd(mult(rd(A,B),mult(B,B)),B))) -> B
% Current number of equations to process: 1895
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [345] mult(rd(rd(A,B),A),mult(A,C)) -> rd(mult(rd(A,B),rd(C,B)),rd(unit,B))
% Rule [166] mult(rd(rd(A,B),A),mult(A,B)) -> rd(rd(A,B),rd(unit,B)) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(d,e),rd(mult(rd(rd(unit,mult(d,e)),rd(rd(mult(mult(a,mult(b,c)),
% mult(mult(d,e),mult(d,e))),
% mult(d,e)),mult(d,e))),
% rd(mult(rd(rd(rd(mult(mult(mult(a,c),mult(rd(unit,c),
% rd(mult(b,mult(c,c)),c))),
% rd(rd(rd(mult(mult(d,e),mult(mult(d,e),
% mult(d,e))),
% mult(d,e)),mult(d,e)),rd(unit,
% mult(d,e)))),
% mult(d,e)),mult(d,e)),rd(mult(rd(mult(a,
% mult(b,c)),
% mult(d,e)),
% mult(mult(d,e),
% mult(d,e))),
% mult(d,e))),rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(b,c)),
% mult(
% mult(d,e),
% mult(d,e))),
% mult(d,e)),
% mult(
% rd(unit,
% mult(d,e)),
% rd(
% rd(
% mult(
% mult(
% mult(a,
% mult(b,c)),
% mult(
% mult(d,e),
% mult(d,e))),
% rd(
% rd(
% rd(
% mult(
% mult(d,e),
% mult(
% mult(d,e),
% mult(d,e))),
% mult(d,e)),
% mult(d,e)),
% rd(unit,
% mult(d,e)))),
% mult(d,e)),
% mult(d,e)))),
% mult(d,e))),
% rd(mult(mult(a,mult(b,c)),mult(mult(d,e),mult(d,e))),
% mult(d,e)))),rd(unit,mult(d,e)))) = mult(mult(d,e),
% mult(rd(rd(rd(rd(unit,e),
% rd(rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e)),
% rd(rd(mult(d,
% mult(e,e)),e),e))),
% rd(rd(unit,e),
% rd(rd(mult(d,
% mult(e,e)),e),e))),
% rd(mult(mult(rd(
% rd(
% rd(unit,e),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(unit,e)),
% rd(rd(mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(
% mult(a,c),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(
% rd(unit,c),
% rd(
% mult(b,
% mult(c,c)),c)),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e),
% mult(
% rd(unit,
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)),
% rd(
% mult(
% rd(
% mult(
% rd(
% mult(d,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e))),e),
% rd(
% mult(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% rd(
% mult(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% mult(
% rd(unit,
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% mult(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% mult(
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)),
% rd(
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e),
% rd(
% mult(
% rd(
% rd(
% mult(
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e),
% mult(
% rd(e,
% rd(unit,
% rd(unit,e))),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% mult(e,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e),
% mult(e,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% mult(
% rd(unit,
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(e,
% mult(
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)),
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))))),
% rd(unit,
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))))),e),e),e))),e)),
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)))),e)),
% mult(
% rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))),
% rd(mult(
% rd(unit,e),
% rd(mult(
% rd(
% mult(d,
% mult(e,e)),e),
% rd(
% rd(
% mult(
% mult(a,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% mult(b,c),
% mult(
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e)))),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e)),e)),
% mult(rd(unit,e),
% rd(mult(d,
% mult(e,e)),e))))),
% rd(mult(mult(
% rd(rd(unit,e),
% rd(rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(rd(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,
% mult(e,e)),e))),
% mult(rd(unit,
% rd(unit,e)),
% rd(rd(mult(
% rd(
% mult(
% rd(unit,e),
% mult(
% rd(unit,
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(
% mult(
% rd(
% rd(unit,e),e),
% rd(
% mult(
% rd(
% mult(d,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),e),e))),e)),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)))),
% rd(
% rd(
% mult(d,
% mult(e,e)),e),e)),
% rd(
% mult(
% rd(unit,
% rd(
% rd(unit,e),e)),
% rd(
% rd(
% rd(
% mult(
% mult(
% rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(unit,
% rd(
% mult(d,
% mult(e,e)),e)),
% rd(
% rd(
% mult(
% mult(
% mult(
% rd(
% rd(unit,e),e),
% rd(
% rd(unit,e),e)),
% rd(
% mult(
% mult(d,
% mult(e,e)),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e))),e)),
% mult(
% rd(unit,
% rd(
% mult(d,
% mult(e,e)),e)),
% mult(
% mult(e,e),
% rd(
% mult(
% rd(
% mult(d,
% mult(e,e)),e),
% mult(
% mult(d,
% mult(e,e)),
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e)))),
% mult(d,
% mult(e,e)))))),
% rd(
% mult(d,
% mult(e,e)),e)),
% rd(
% mult(d,
% mult(e,e)),e))),e))),e),
% rd(
% rd(unit,e),e)),
% rd(
% rd(unit,e),e))),
% rd(
% rd(
% mult(
% rd(
% rd(unit,e),e),
% mult(d,
% mult(e,e))),
% rd(unit,e)),
% rd(
% rd(unit,e),e)))),
% rd(unit,e)),
% rd(unit,e)))),
% rd(unit,e))),
% rd(mult(rd(rd(unit,e),
% rd(rd(mult(d,
% mult(e,e)),e),e)),
% rd(rd(mult(rd(
% mult(
% mult(a,
% mult(e,e)),
% mult(
% rd(unit,
% mult(e,e)),
% rd(
% mult(
% mult(b,c),
% mult(
% mult(e,e),
% mult(e,e))),
% mult(e,e)))),e),
% mult(rd(unit,e),
% rd(rd(
% mult(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e))),e),
% mult(
% rd(unit,
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% mult(
% rd(
% rd(
% mult(
% mult(d,
% mult(e,e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))),e),e),
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),
% mult(
% rd(unit,e),
% rd(
% rd(unit,
% rd(unit,e)),e))),
% rd(
% mult(
% rd(unit,e),
% rd(
% rd(
% mult(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% mult(
% rd(unit,
% rd(unit,e)),
% rd(
% mult(
% mult(e,e),
% mult(
% rd(unit,e),
% rd(unit,e))),
% rd(unit,e)))),e),e)),
% rd(
% rd(unit,
% rd(e,
% rd(e,
% rd(unit,
% rd(unit,e))))),e)))),e)),
% rd(
% rd(
% rd(
% mult(e,
% mult(e,e)),e),e),
% rd(unit,e))))),e),e))),e),
% rd(mult(d,mult(e,e)),e))),
% rd(unit,e)))))
% 
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [346] mult(rd(rd(A,B),A),rd(A,C)) -> rd(mult(rd(A,B),rd(unit,B)),rd(C,B))
% Rule
% [330] mult(rd(rd(A,B),A),rd(A,mult(C,B))) -> rd(mult(rd(A,B),rd(unit,B)),C)
% collapsed.
% Current number of equations to process: 2540
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [347] rd(mult(A,mult(B,C)),mult(mult(mult(rd(unit,C),A),B),C)) -> C
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [348] rd(unit,rd(A,rd(mult(A,B),A))) <-> rd(rd(A,rd(mult(B,A),B)),rd(A,B))
% Current number of equations to process: 3217
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [349] rd(rd(A,rd(mult(B,A),B)),rd(A,B)) <-> rd(unit,rd(A,rd(mult(A,B),A)))
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [350] rd(unit,rd(rd(mult(A,A),B),A)) <-> rd(rd(rd(mult(A,B),A),B),rd(A,B))
% Current number of equations to process: 3726
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [351] rd(rd(rd(mult(A,B),A),B),rd(A,B)) <-> rd(unit,rd(rd(mult(A,A),B),A))
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [352] rd(mult(rd(A,B),C),rd(mult(A,mult(C,B)),B)) -> rd(rd(A,B),A)
% Current number of equations to process: 4177
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [353] rd(mult(A,rd(B,C)),mult(A,rd(mult(C,B),C))) -> rd(A,mult(A,C))
% Current number of equations to process: 4177
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced : [354] rd(A,rd(mult(A,mult(B,B)),B)) -> rd(rd(A,B),A)
% Current number of equations to process: 4255
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [355] rd(rd(mult(A,B),C),rd(mult(A,mult(C,B)),C)) -> rd(rd(A,C),A)
% Current number of equations to process: 4996
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [356] rd(rd(unit,A),rd(rd(mult(B,A),B),A)) -> rd(rd(B,A),B)
% Current number of equations to process: 1907
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [357] rd(rd(unit,A),rd(B,rd(mult(A,B),A))) -> rd(rd(B,A),B)
% Current number of equations to process: 2272
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [358] rd(rd(unit,A),rd(rd(B,rd(B,A)),A)) -> rd(unit,rd(B,rd(B,A)))
% Rule
% [180]
% rd(rd(unit,A),rd(rd(unit,rd(unit,A)),A)) -> rd(unit,rd(unit,rd(unit,A)))
% collapsed.
% Current number of equations to process: 2541
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [359] mult(rd(rd(A,B),A),rd(rd(mult(A,B),A),B)) -> rd(unit,B)
% Current number of equations to process: 2541
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [360] rd(rd(rd(A,B),A),rd(B,rd(mult(A,B),A))) -> rd(unit,B)
% Current number of equations to process: 2541
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [361] rd(rd(rd(A,B),A),rd(rd(mult(B,A),B),A)) -> rd(unit,B)
% Current number of equations to process: 3187
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [362] mult(rd(unit,A),rd(rd(mult(A,B),A),B)) -> rd(rd(B,A),B)
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [363] rd(rd(A,B),mult(rd(unit,B),A)) -> rd(rd(rd(A,B),A),rd(unit,B))
% Current number of equations to process: 3563
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [364] rd(rd(rd(rd(A,B),A),rd(A,B)),rd(B,A)) -> rd(rd(A,B),A)
% Current number of equations to process: 3933
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [365] rd(rd(rd(A,mult(A,B)),rd(unit,B)),B) -> rd(A,mult(A,B))
% Current number of equations to process: 3980
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced : [366] rd(rd(rd(rd(A,B),A),rd(unit,B)),B) -> rd(rd(A,B),A)
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 285
% Rule [350]
% rd(unit,rd(rd(mult(A,A),B),A)) <-> rd(rd(rd(mult(A,B),A),B),rd(A,B)) is composed into 
% [350] rd(unit,rd(rd(mult(A,A),B),A)) <-> rd(unit,rd(A,rd(mult(A,B),A)))
% New rule produced :
% [367] rd(rd(rd(mult(A,B),A),B),rd(A,B)) -> rd(unit,rd(A,rd(mult(A,B),A)))
% Rule
% [351] rd(rd(rd(mult(A,B),A),B),rd(A,B)) <-> rd(unit,rd(rd(mult(A,A),B),A))
% collapsed.
% Current number of equations to process: 4947
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [368] rd(mult(A,B),mult(A,rd(mult(C,mult(B,C)),C))) -> rd(A,mult(A,C))
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [369] rd(rd(mult(A,B),mult(B,A)),A) -> rd(unit,rd(mult(A,B),rd(mult(A,B),A)))
% Current number of equations to process: 2597
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [370] rd(rd(A,mult(B,rd(A,B))),rd(A,B)) -> rd(unit,rd(A,rd(A,rd(A,B))))
% Current number of equations to process: 2855
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [371] rd(unit,rd(mult(rd(unit,B),A),rd(A,B))) -> rd(rd(rd(A,B),A),rd(unit,B))
% Current number of equations to process: 3197
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [372]
% rd(A,rd(mult(rd(unit,B),A),rd(unit,B))) <-> rd(rd(A,mult(A,B)),rd(unit,B))
% Current number of equations to process: 3504
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [373]
% rd(rd(A,mult(A,B)),rd(unit,B)) <-> rd(A,rd(mult(rd(unit,B),A),rd(unit,B)))
% Current number of equations to process: 3504
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [374] rd(rd(A,rd(mult(rd(unit,B),A),rd(unit,B))),B) <-> rd(A,mult(A,B))
% Current number of equations to process: 3898
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [375] rd(A,mult(A,B)) <-> rd(rd(A,rd(mult(rd(unit,B),A),rd(unit,B))),B)
% Current number of equations to process: 3898
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [376]
% mult(mult(mult(A,C),V_3),mult(rd(unit,V_3),rd(mult(B,mult(V_3,V_3)),V_3)))
% <-> mult(mult(mult(A,B),mult(rd(unit,B),rd(mult(C,mult(B,B)),B))),V_3)
% Current number of equations to process: 4339
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [377]
% mult(mult(mult(A,B),mult(rd(unit,B),rd(mult(C,mult(B,B)),B))),V_3) <->
% mult(mult(mult(A,C),V_3),mult(rd(unit,V_3),rd(mult(B,mult(V_3,V_3)),V_3)))
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [378]
% mult(A,mult(B,mult(rd(rd(A,B),A),rd(mult(rd(C,rd(mult(A,B),A)),rd(mult(
% mult(A,B),B),A)),
% rd(mult(A,B),A))))) <->
% mult(rd(mult(A,B),rd(mult(A,B),A)),C)
% Current number of equations to process: 1873
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [379]
% mult(rd(mult(A,B),rd(mult(A,B),A)),C) <->
% mult(A,mult(B,mult(rd(rd(A,B),A),rd(mult(rd(C,rd(mult(A,B),A)),rd(mult(
% mult(A,B),B),A)),
% rd(mult(A,B),A)))))
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [380]
% mult(B,mult(mult(mult(rd(unit,B),rd(mult(rd(A,B),mult(B,B)),B)),C),mult(
% rd(unit,B),
% rd(
% mult(
% rd(V_3,B),
% mult(B,B)),B))))
% -> mult(rd(mult(rd(A,B),mult(B,C)),B),V_3)
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [381]
% mult(A,mult(B,mult(C,mult(rd(unit,B),rd(mult(rd(mult(rd(unit,A),rd(mult(
% rd(V_3,A),
% mult(A,A)),A)),B),
% mult(B,B)),B))))) <->
% mult(rd(mult(A,mult(B,C)),mult(A,B)),V_3)
% Current number of equations to process: 3184
% Current number of ordered equations: 3
% Current number of rules: 299
% New rule produced :
% [382]
% mult(A,mult(mult(B,mult(rd(unit,A),rd(mult(rd(C,A),mult(A,A)),A))),mult(
% rd(unit,A),
% rd(
% mult(
% rd(V_3,A),
% mult(A,A)),A))))
% <-> mult(rd(mult(rd(mult(A,B),A),C),A),V_3)
% Current number of equations to process: 3184
% Current number of ordered equations: 2
% Current number of rules: 300
% New rule produced :
% [383]
% mult(rd(mult(rd(mult(A,B),A),C),A),V_3) <->
% mult(A,mult(mult(B,mult(rd(unit,A),rd(mult(rd(C,A),mult(A,A)),A))),mult(
% rd(unit,A),
% rd(
% mult(
% rd(V_3,A),
% mult(A,A)),A))))
% Current number of equations to process: 3184
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [384]
% mult(rd(mult(A,mult(B,C)),mult(A,B)),V_3) <->
% mult(A,mult(B,mult(C,mult(rd(unit,B),rd(mult(rd(mult(rd(unit,A),rd(mult(
% rd(V_3,A),
% mult(A,A)),A)),B),
% mult(B,B)),B)))))
% Current number of equations to process: 3184
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [385]
% mult(mult(A,B),rd(C,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A)))) ->
% mult(A,rd(mult(B,C),mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))))
% Current number of equations to process: 774
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [386]
% rd(mult(A,mult(mult(B,C),V_3)),mult(A,C)) ->
% rd(mult(A,mult(B,rd(mult(C,V_3),C))),A)
% Rule
% [223]
% rd(mult(mult(A,B),mult(rd(unit,mult(B,C)),rd(mult(B,mult(mult(B,C),mult(B,C))),
% mult(B,C)))),mult(B,C)) ->
% mult(B,rd(mult(rd(unit,B),rd(mult(A,mult(B,B)),B)),C)) collapsed.
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [387]
% rd(mult(A,mult(B,rd(C,V_3))),mult(A,B)) ->
% rd(mult(A,mult(B,C)),mult(A,mult(B,V_3)))
% Rule
% [224]
% rd(mult(A,mult(B,rd(unit,C))),mult(A,B)) -> rd(mult(A,B),mult(A,mult(B,C)))
% collapsed.
% Current number of equations to process: 1523
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [388]
% rd(mult(mult(A,B),mult(rd(unit,B),rd(mult(C,mult(B,B)),B))),C) ->
% mult(A,rd(mult(C,B),C))
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [389]
% rd(mult(mult(A,B),C),rd(mult(B,C),B)) ->
% mult(A,rd(mult(B,C),rd(mult(B,C),B)))
% Current number of equations to process: 2308
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [390] rd(rd(mult(A,rd(B,C)),V_3),rd(mult(V_3,B),mult(V_3,C))) -> rd(A,V_3)
% Current number of equations to process: 2592
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [391] rd(rd(mult(A,rd(unit,B)),C),rd(mult(C,A),C)) -> rd(rd(A,mult(A,B)),C)
% Current number of equations to process: 3134
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [392]
% rd(mult(A,B),mult(A,rd(mult(C,V_3),C))) <->
% rd(mult(A,rd(mult(B,C),V_3)),mult(A,C))
% Rule [368] rd(mult(A,B),mult(A,rd(mult(C,mult(B,C)),C))) -> rd(A,mult(A,C))
% collapsed.
% Current number of equations to process: 3343
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [393]
% rd(mult(A,rd(mult(B,C),V_3)),mult(A,C)) <->
% rd(mult(A,B),mult(A,rd(mult(C,V_3),C)))
% Current number of equations to process: 3343
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [394]
% rd(rd(rd(A,B),rd(mult(B,C),B)),V_3) <->
% rd(rd(rd(A,C),V_3),rd(mult(V_3,B),V_3))
% Current number of equations to process: 4141
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [395]
% rd(rd(rd(A,C),V_3),rd(mult(V_3,B),V_3)) <->
% rd(rd(rd(A,B),rd(mult(B,C),B)),V_3)
% Current number of equations to process: 4141
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [396]
% rd(A,rd(mult(rd(B,C),A),rd(B,C))) <-> rd(rd(mult(A,B),mult(A,C)),rd(B,C))
% Current number of equations to process: 1518
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [397]
% rd(rd(mult(A,B),mult(A,C)),rd(B,C)) <-> rd(A,rd(mult(rd(B,C),A),rd(B,C)))
% Current number of equations to process: 1518
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [398]
% rd(rd(mult(A,rd(mult(B,C),B)),C),B) -> rd(A,rd(mult(B,C),rd(mult(B,C),B)))
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [399]
% rd(A,rd(mult(B,mult(C,V_3)),mult(B,C))) <->
% rd(rd(rd(mult(mult(A,B),C),V_3),C),B)
% Current number of equations to process: 2733
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [400]
% rd(rd(rd(mult(mult(A,B),C),V_3),C),B) <->
% rd(A,rd(mult(B,mult(C,V_3)),mult(B,C)))
% Current number of equations to process: 2733
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [401]
% rd(A,mult(rd(unit,A),rd(mult(rd(mult(A,B),rd(mult(A,B),A)),mult(A,A)),A))) ->
% rd(rd(mult(A,B),A),B)
% Current number of equations to process: 3536
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [402]
% rd(A,mult(A,rd(mult(B,C),mult(B,V_3)))) ->
% rd(mult(A,rd(B,rd(C,V_3))),mult(A,B))
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [403]
% rd(mult(rd(A,B),rd(mult(C,B),V_3)),A) ->
% rd(mult(rd(A,B),C),rd(mult(A,V_3),B))
% Current number of equations to process: 4046
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [404] rd(A,rd(mult(A,mult(B,C)),B)) -> rd(rd(mult(A,rd(B,C)),B),A)
% Rule [354] rd(A,rd(mult(A,mult(B,B)),B)) -> rd(rd(A,B),A) collapsed.
% Current number of eqCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------