TSTP Solution File: GRP706-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP706-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n115.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:24:08 EDT 2014

% Result   : Timeout 300.03s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP706-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n115.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Sat Jun  7 01:15:08 CDT 2014
% % CPUTime  : 300.03 
% Processing problem /tmp/CiME_54063_n115.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a,op_c : constant;  f : 2;  rd : 2;  mult : 2;  ld : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% mult(A,ld(A,B)) = B;
% ld(A,mult(A,B)) = B;
% mult(rd(A,B),B) = A;
% rd(mult(A,B),B) = A;
% mult(A,mult(B,C)) = mult(mult(A,B),mult(ld(A,A),C));
% mult(mult(A,B),C) = mult(mult(A,rd(C,C)),mult(B,C));
% f(A,B) = mult(rd(A,op_c),ld(op_c,B));
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% op_c lr_lex;
% f lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
% 
% let p1 = precedence F "
% f > ld > mult > rd > op_c > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% op_c mul;
% f mul;
% rd mul;
% mult mul;
% ld mul;
% ";
% 
% let p2 = precedence F "
% f > ld > mult > rd > op_c = a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " f(a,f(b,f(a,c))) = f(f(f(a,b),a),c);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% mult(rd(A,B),B) = A,
% rd(mult(A,B),B) = A,
% mult(A,mult(B,C)) =
% mult(mult(A,B),mult(ld(A,A),C)),
% mult(mult(A,B),C) =
% mult(mult(A,rd(C,C)),mult(B,C)),
% f(A,B) = mult(rd(A,op_c),ld(op_c,B)) }
% (7 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { f(a,f(b,f(a,c))) = f(f(f(a,b),a),c) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 1
% New rule produced : [2] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 2
% New rule produced : [3] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 3
% New rule produced : [4] ld(A,mult(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 4
% New rule produced : [5] f(A,B) -> mult(rd(A,op_c),ld(op_c,B))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(rd(a,op_c),ld(op_c,mult(rd(b,op_c),ld(op_c,mult(rd(a,op_c),ld(op_c,c)))))) = 
% mult(rd(mult(rd(mult(rd(a,op_c),ld(op_c,b)),op_c),ld(op_c,a)),op_c),ld(op_c,c))
% 
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 5
% New rule produced : [6] mult(mult(A,B),C) <-> mult(mult(A,rd(C,C)),mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 6
% New rule produced : [7] mult(mult(A,B),mult(ld(A,A),C)) -> mult(A,mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 7
% New rule produced : [8] mult(mult(A,rd(C,C)),mult(B,C)) <-> mult(mult(A,B),C)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 8
% New rule produced : [9] rd(A,ld(B,A)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 9
% New rule produced : [10] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] mult(B,mult(ld(B,A),C)) <-> mult(A,mult(ld(B,B),C))
% Current number of equations to process: 10
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced : [12] mult(A,mult(ld(B,B),C)) <-> mult(B,mult(ld(B,A),C))
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] mult(mult(A,rd(B,B)),C) <-> mult(mult(A,rd(C,B)),B)
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced : [14] mult(mult(A,rd(C,B)),B) <-> mult(mult(A,rd(B,B)),C)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] mult(A,mult(B,ld(ld(A,A),C))) <-> mult(mult(A,B),C)
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced : [16] mult(mult(A,B),C) <-> mult(A,mult(B,ld(ld(A,A),C)))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] mult(B,ld(ld(A,A),C)) <-> ld(A,mult(mult(A,B),C))
% Current number of equations to process: 67
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced : [18] ld(A,mult(mult(A,B),C)) <-> mult(B,ld(ld(A,A),C))
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] ld(mult(A,B),mult(A,mult(B,C))) -> mult(ld(A,A),C)
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] ld(mult(A,B),mult(A,C)) -> mult(ld(A,A),ld(B,C))
% Rule [19] ld(mult(A,B),mult(A,mult(B,C))) -> mult(ld(A,A),C) collapsed.
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [21] rd(mult(mult(A,B),C),mult(B,C)) -> mult(A,rd(C,C))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [22] mult(rd(A,C),rd(B,B)) -> rd(mult(A,B),mult(C,B))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] mult(mult(rd(A,rd(C,C)),B),C) -> mult(A,mult(B,C))
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] rd(mult(A,mult(B,C)),C) <-> mult(rd(A,rd(C,C)),B)
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced : [25] mult(rd(A,rd(C,C)),B) <-> rd(mult(A,mult(B,C)),C)
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [26] ld(A,mult(B,mult(ld(A,A),C))) -> mult(ld(A,B),C)
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [27] ld(A,mult(B,mult(ld(B,A),C))) <-> mult(ld(B,B),C)
% Current number of equations to process: 284
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced : [28] mult(ld(B,B),C) <-> ld(A,mult(B,mult(ld(B,A),C)))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [29] rd(mult(mult(A,rd(B,C)),C),B) -> mult(A,rd(C,C))
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [30] rd(mult(mult(A,rd(B,B)),C),B) -> mult(A,rd(C,B))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [31] ld(A,ld(B,mult(mult(B,A),C))) <-> ld(ld(B,B),C)
% Current number of equations to process: 358
% Current number of ordered equations: 1
% Current number of rules: 30
% Rule [31] ld(A,ld(B,mult(mult(B,A),C))) <-> ld(ld(B,B),C) is composed into 
% [31] ld(A,ld(B,mult(mult(B,A),C))) <-> ld(c,ld(B,mult(mult(B,c),C)))
% Rule [18] ld(A,mult(mult(A,B),C)) <-> mult(B,ld(ld(A,A),C)) is composed into 
% [18] ld(A,mult(mult(A,B),C)) <-> mult(B,ld(A,ld(A,mult(mult(A,A),C))))
% Rule [16] mult(mult(A,B),C) <-> mult(A,mult(B,ld(ld(A,A),C))) is composed into 
% [16] mult(mult(A,B),C) <-> mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),C)))))
% New rule produced : [32] ld(ld(B,B),C) <-> ld(A,ld(B,mult(mult(B,A),C)))
% Rule [15] mult(A,mult(B,ld(ld(A,A),C))) <-> mult(mult(A,B),C) collapsed.
% Rule [17] mult(B,ld(ld(A,A),C)) <-> ld(A,mult(mult(A,B),C)) collapsed.
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [33] mult(ld(A,B),ld(A,ld(A,mult(mult(A,A),C)))) <-> ld(A,mult(B,C))
% Current number of equations to process: 399
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [34] ld(A,mult(B,C)) <-> mult(ld(A,B),ld(A,ld(A,mult(mult(A,A),C))))
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [35] ld(mult(A,B),C) -> mult(ld(A,A),ld(B,ld(A,C)))
% Rule [20] ld(mult(A,B),mult(A,C)) -> mult(ld(A,A),ld(B,C)) collapsed.
% Current number of equations to process: 452
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [36] rd(mult(A,B),mult(ld(C,A),B)) -> mult(C,rd(B,B))
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [37] mult(rd(A,rd(C,C)),rd(B,C)) -> rd(mult(A,B),C)
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [38] rd(rd(mult(A,mult(B,C)),C),B) -> rd(A,rd(C,C))
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [39] mult(ld(B,B),ld(ld(B,A),C)) -> ld(A,mult(B,C))
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [40] rd(A,mult(ld(B,rd(A,C)),C)) -> mult(B,rd(C,C))
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [41] rd(rd(mult(A,B),C),rd(B,C)) -> rd(A,rd(C,C))
% Current number of equations to process: 606
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced : [42] rd(rd(A,mult(C,B)),rd(B,B)) -> rd(rd(A,B),C)
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [43] rd(rd(A,B),rd(C,B)) <-> rd(rd(A,C),rd(B,B))
% Current number of equations to process: 611
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced : [44] rd(rd(A,C),rd(B,B)) <-> rd(rd(A,B),rd(C,B))
% Rule [42] rd(rd(A,mult(C,B)),rd(B,B)) -> rd(rd(A,B),C) collapsed.
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [45] rd(rd(A,B),rd(ld(C,A),B)) <-> rd(C,rd(B,B))
% Current number of equations to process: 694
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced : [46] rd(C,rd(B,B)) <-> rd(rd(A,B),rd(ld(C,A),B))
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [47] rd(rd(mult(A,C),B),rd(C,C)) -> rd(A,rd(B,C))
% Current number of equations to process: 747
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [48] rd(A,rd(ld(B,mult(A,C)),C)) -> rd(B,rd(C,C))
% Current number of equations to process: 779
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [49] ld(rd(A,rd(B,B)),C) -> rd(ld(A,mult(C,B)),B)
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [50] mult(mult(C,rd(B,B)),mult(ld(C,A),B)) -> mult(A,B)
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [51] rd(mult(A,mult(B,C)),mult(ld(A,A),C)) -> mult(A,B)
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [52] rd(mult(A,B),mult(ld(A,A),C)) <-> mult(A,rd(B,C))
% Current number of equations to process: 880
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [53] mult(A,rd(B,C)) <-> rd(mult(A,B),mult(ld(A,A),C))
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [54] rd(A,mult(ld(B,B),C)) <-> mult(B,rd(ld(B,A),C))
% Current number of equations to process: 924
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced : [55] mult(B,rd(ld(B,A),C)) <-> rd(A,mult(ld(B,B),C))
% Current number of equations to process: 924
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [56] ld(A,rd(B,mult(ld(A,A),C))) -> rd(ld(A,B),C)
% Current number of equations to process: 1068
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [57] mult(ld(A,A),ld(rd(B,B),ld(A,mult(mult(A,C),B)))) -> mult(C,B)
% Current number of equations to process: 1090
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [58] mult(C,mult(ld(C,A),ld(c,ld(C,mult(mult(C,c),B))))) -> mult(A,B)
% Current number of equations to process: 1148
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [59] rd(mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),C))))),C) -> mult(A,B)
% Current number of equations to process: 1196
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [60] ld(rd(A,B),rd(mult(A,C),mult(B,C))) -> rd(C,C)
% Current number of equations to process: 1229
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [61] ld(B,B) <-> rd(ld(A,mult(B,mult(ld(B,A),C))),C)
% Current number of equations to process: 1295
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced : [62] rd(ld(A,mult(B,mult(ld(B,A),C))),C) <-> ld(B,B)
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [63] rd(mult(C,mult(ld(C,C),ld(rd(B,B),ld(C,A)))),mult(ld(C,C),B)) -> rd(A,B)
% Current number of equations to process: 1348
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [64] rd(A,ld(B,ld(C,mult(mult(C,B),A)))) -> ld(C,C)
% Current number of equations to process: 1390
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [65] rd(ld(A,mult(B,C)),ld(ld(B,A),C)) -> ld(B,B)
% Current number of equations to process: 1425
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [66] ld(rd(rd(A,B),rd(C,B)),rd(A,C)) -> rd(B,B)
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [67] ld(rd(rd(A,B),rd(ld(C,A),B)),C) -> rd(B,B)
% Current number of equations to process: 1550
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [68] ld(rd(A,rd(B,C)),rd(mult(A,C),B)) -> rd(C,C)
% Current number of equations to process: 1588
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced : [69] ld(rd(rd(A,B),C),rd(A,mult(C,B))) -> rd(B,B)
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [70] rd(A,ld(ld(B,C),ld(B,mult(C,A)))) -> ld(B,B)
% Current number of equations to process: 1725
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [71] rd(ld(A,B),ld(ld(C,A),ld(C,B))) -> ld(C,C)
% Current number of equations to process: 1785
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [72] rd(A,ld(ld(B,rd(mult(B,C),A)),C)) -> ld(B,B)
% Current number of equations to process: 1846
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [73] rd(A,ld(ld(B,rd(C,A)),ld(B,C))) -> ld(B,B)
% Current number of equations to process: 1896
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [74] mult(ld(A,A),ld(B,ld(A,mult(mult(A,rd(C,C)),mult(B,C))))) -> C
% Current number of equations to process: 1965
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [75] rd(mult(A,mult(ld(B,B),C)),mult(ld(B,A),C)) -> B
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [76] mult(ld(A,A),ld(rd(B,C),ld(A,mult(mult(A,rd(C,C)),B)))) -> C
% Current number of equations to process: 2088
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [77] rd(mult(mult(A,B),C),mult(B,ld(A,ld(A,mult(mult(A,A),C))))) -> A
% Current number of equations to process: 2155
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [78]
% mult(A,mult(C,ld(A,ld(A,mult(mult(A,A),B))))) <->
% mult(mult(A,rd(B,B)),mult(C,B))
% Current number of equations to process: 2222
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [79]
% mult(mult(A,rd(B,B)),mult(C,B)) <->
% mult(A,mult(C,ld(A,ld(A,mult(mult(A,A),B)))))
% Current number of equations to process: 2222
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [80] rd(ld(A,mult(mult(A,B),C)),ld(A,ld(A,mult(mult(A,A),C)))) -> B
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [81]
% mult(rd(C,C),ld(A,ld(A,mult(mult(A,A),B)))) <-> ld(A,mult(mult(A,rd(B,C)),C))
% Current number of equations to process: 2390
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [82]
% ld(A,mult(mult(A,rd(B,C)),C)) <-> mult(rd(C,C),ld(A,ld(A,mult(mult(A,A),B))))
% Current number of equations to process: 2390
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [83]
% ld(A,mult(mult(A,rd(B,B)),C)) <-> mult(rd(C,B),ld(A,ld(A,mult(mult(A,A),B))))
% Current number of equations to process: 2491
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [84]
% mult(rd(C,B),ld(A,ld(A,mult(mult(A,A),B)))) <-> ld(A,mult(mult(A,rd(B,B)),C))
% Current number of equations to process: 2491
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [85]
% ld(A,mult(rd(A,B),mult(B,C))) <->
% mult(rd(ld(c,mult(rd(A,B),mult(ld(rd(A,B),c),c))),c),C)
% Current number of equations to process: 2602
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [86]
% mult(rd(ld(c,mult(rd(A,B),mult(ld(rd(A,B),c),c))),c),C) <->
% ld(A,mult(rd(A,B),mult(B,C)))
% Current number of equations to process: 2602
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [87] rd(mult(mult(A,B),ld(B,C)),C) -> mult(A,rd(ld(B,C),ld(B,C)))
% Current number of equations to process: 2777
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [88] mult(mult(rd(A,C),rd(V_3,B)),B) -> mult(rd(mult(A,B),mult(C,B)),V_3)
% Current number of equations to process: 2846
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [89]
% mult(rd(ld(A,rd(mult(A,mult(B,B)),B)),B),ld(C,rd(ld(A,mult(mult(A,rd(B,B)),
% mult(mult(C,B),B))),B)))
% -> B
% Current number of equations to process: 2948
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [90] rd(mult(A,mult(ld(B,B),C)),C) <-> mult(rd(B,rd(C,C)),ld(B,A))
% Current number of equations to process: 3030
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [91] mult(rd(B,rd(C,C)),ld(B,A)) <-> rd(mult(A,mult(ld(B,B),C)),C)
% Current number of equations to process: 3030
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [92] rd(mult(A,mult(ld(A,B),C)),C) <-> mult(rd(B,rd(C,C)),ld(A,A))
% Current number of equations to process: 3144
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [93] mult(rd(B,rd(C,C)),ld(A,A)) <-> rd(mult(A,mult(ld(A,B),C)),C)
% Current number of equations to process: 3144
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [94] rd(mult(A,B),mult(rd(C,C),B)) <-> rd(mult(A,mult(rd(B,B),C)),C)
% Current number of equations to process: 3239
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [95] rd(mult(A,mult(rd(B,B),C)),C) <-> rd(mult(A,B),mult(rd(C,C),B))
% Current number of equations to process: 3239
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [96] ld(A,mult(mult(B,ld(A,A)),C)) -> mult(ld(A,mult(B,rd(C,C))),C)
% Current number of equations to process: 3370
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [97]
% mult(ld(A,B),ld(c,ld(B,mult(mult(B,c),C)))) <-> mult(ld(A,mult(B,rd(C,C))),C)
% Current number of equations to process: 3410
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [98]
% mult(ld(A,mult(B,rd(C,C))),C) <-> mult(ld(A,B),ld(c,ld(B,mult(mult(B,c),C))))
% Current number of equations to process: 3410
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [99] ld(A,ld(A,mult(mult(A,A),ld(B,mult(A,mult(ld(A,B),C)))))) -> C
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [100] mult(A,rd(mult(ld(A,A),C),B)) <-> rd(mult(A,mult(rd(B,B),C)),B)
% Current number of equations to process: 3615
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [101] rd(mult(A,mult(rd(B,B),C)),B) <-> mult(A,rd(mult(ld(A,A),C),B))
% Current number of equations to process: 3615
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [102] ld(ld(A,B),ld(A,mult(B,C))) -> ld(c,ld(A,mult(mult(A,c),C)))
% Rule [70] rd(A,ld(ld(B,C),ld(B,mult(C,A)))) -> ld(B,B) collapsed.
% Current number of equations to process: 3739
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [103] mult(ld(A,A),ld(B,ld(A,mult(mult(A,B),C)))) -> C
% Current number of equations to process: 3816
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [104] rd(A,mult(ld(B,C),ld(C,A))) -> mult(B,rd(ld(C,A),ld(C,A)))
% Current number of equations to process: 3868
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [105] rd(rd(mult(A,B),ld(C,B)),C) -> rd(A,rd(ld(C,B),ld(C,B)))
% Current number of equations to process: 3938
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [106] mult(A,mult(B,ld(ld(A,C),V_3))) <-> mult(mult(A,B),ld(C,mult(A,V_3)))
% Current number of equations to process: 4018
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [107] mult(mult(A,B),ld(C,mult(A,V_3))) <-> mult(A,mult(B,ld(ld(A,C),V_3)))
% Current number of equations to process: 4018
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [108] mult(ld(A,B),ld(ld(A,C),V_3)) <-> ld(A,mult(B,ld(C,mult(A,V_3))))
% Rule [39] mult(ld(B,B),ld(ld(B,A),C)) -> ld(A,mult(B,C)) collapsed.
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [109] rd(mult(A,rd(B,B)),rd(B,C)) <-> rd(mult(A,rd(C,B)),rd(C,C))
% Current number of equations to process: 4341
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [110] rd(mult(A,rd(C,B)),rd(C,C)) <-> rd(mult(A,rd(B,B)),rd(B,C))
% Current number of equations to process: 4341
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [111] mult(rd(rd(A,B),rd(C,B)),V_3) <-> rd(mult(rd(A,C),mult(V_3,B)),B)
% Current number of equations to process: 4487
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [112] rd(mult(rd(A,C),mult(V_3,B)),B) <-> mult(rd(rd(A,B),rd(C,B)),V_3)
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [113] rd(B,rd(ld(A,C),ld(A,C))) <-> rd(A,rd(ld(B,C),ld(A,C)))
% Current number of equations to process: 4744
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [114] rd(A,rd(ld(B,C),ld(A,C))) <-> rd(B,rd(ld(A,C),ld(A,C)))
% Current number of equations to process: 4744
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [115] mult(mult(rd(A,rd(B,C)),V_3),C) -> mult(rd(mult(A,C),B),mult(V_3,C))
% Rule [23] mult(mult(rd(A,rd(C,C)),B),C) -> mult(A,mult(B,C)) collapsed.
% Current number of equations to process: 4906
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [116] mult(rd(A,rd(B,C)),rd(V_3,C)) <-> rd(mult(rd(mult(A,C),B),V_3),C)
% Current number of equations to process: 1948
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [117] rd(mult(rd(mult(A,C),B),V_3),C) <-> mult(rd(A,rd(B,C)),rd(V_3,C))
% Current number of equations to process: 1948
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [118] ld(rd(rd(A,B),rd(C,B)),V_3) -> rd(ld(rd(A,C),mult(V_3,B)),B)
% Rule [66] ld(rd(rd(A,B),rd(C,B)),rd(A,C)) -> rd(B,B) collapsed.
% Rule [67] ld(rd(rd(A,B),rd(ld(C,A),B)),C) -> rd(B,B) collapsed.
% Current number of equations to process: 2194
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [119] mult(A,rd(B,ld(ld(A,C),V_3))) -> rd(mult(A,B),ld(C,mult(A,V_3)))
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [120] rd(A,rd(mult(ld(A,A),C),B)) <-> rd(mult(A,rd(B,C)),rd(B,B))
% Current number of equations to process: 2426
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [121] rd(mult(A,rd(B,C)),rd(B,B)) <-> rd(A,rd(mult(ld(A,A),C),B))
% Current number of equations to process: 2426
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [122] rd(rd(mult(A,B),mult(ld(A,A),C)),rd(B,C)) -> A
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [123] mult(mult(B,rd(C,C)),ld(B,A)) <-> mult(rd(A,mult(ld(B,B),C)),C)
% Current number of equations to process: 2682
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [124] mult(rd(A,mult(ld(B,B),C)),C) <-> mult(mult(B,rd(C,C)),ld(B,A))
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [125] rd(rd(A,mult(ld(B,B),C)),rd(ld(B,A),C)) -> B
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [126] rd(ld(A,B),ld(ld(A,C),V_3)) <-> ld(A,rd(B,ld(C,mult(A,V_3))))
% Current number of equations to process: 2906
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [127] ld(A,rd(B,ld(C,mult(A,V_3)))) <-> rd(ld(A,B),ld(ld(A,C),V_3))
% Current number of equations to process: 2906
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [128] mult(A,rd(ld(B,mult(A,mult(ld(A,B),C))),C)) -> A
% Current number of equations to process: 3109
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [129] rd(A,rd(ld(B,mult(A,mult(ld(A,B),C))),C)) -> A
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [130] ld(A,ld(A,mult(mult(A,A),B))) <-> ld(C,ld(A,mult(mult(A,C),B)))
% Current number of equations to process: 3217
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [131] ld(C,ld(A,mult(mult(A,C),B))) <-> ld(A,ld(A,mult(mult(A,A),B)))
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [132] rd(mult(A,B),mult(rd(B,B),C)) <-> rd(mult(A,C),mult(rd(C,B),C))
% Current number of equations to process: 3369
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [133] rd(mult(A,C),mult(rd(C,B),C)) <-> rd(mult(A,B),mult(rd(B,B),C))
% Current number of equations to process: 3369
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [134] ld(ld(A,rd(mult(A,C),B)),C) -> ld(A,ld(A,mult(mult(A,A),B)))
% Rule [72] rd(A,ld(ld(B,rd(mult(B,C),A)),C)) -> ld(B,B) collapsed.
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [135] ld(ld(A,rd(C,B)),ld(A,C)) -> ld(A,ld(A,mult(mult(A,A),B)))
% Rule [73] rd(A,ld(ld(B,rd(C,A)),ld(B,C))) -> ld(B,B) collapsed.
% Current number of equations to process: 3744
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [136] mult(rd(C,rd(B,B)),ld(C,A)) <-> mult(rd(A,rd(B,B)),ld(C,C))
% Current number of equations to process: 3859
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [137] mult(rd(A,rd(B,B)),ld(C,C)) <-> mult(rd(C,rd(B,B)),ld(C,A))
% Current number of equations to process: 3859
% Current number of ordered equations: 0
% Current number of rules: 125
% Rule [121] rd(mult(A,rd(B,C)),rd(B,B)) <-> rd(A,rd(mult(ld(A,A),C),B)) is composed into 
% [121] rd(mult(A,rd(B,C)),rd(B,B)) <-> rd(mult(A,rd(C,C)),rd(C,B))
% New rule produced :
% [138] rd(A,rd(mult(ld(A,A),B),C)) -> rd(mult(A,rd(B,B)),rd(B,C))
% Rule [120] rd(A,rd(mult(ld(A,A),C),B)) <-> rd(mult(A,rd(B,C)),rd(B,B))
% collapsed.
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [139]
% mult(A,mult(rd(ld(c,mult(rd(A,B),mult(ld(rd(A,B),c),c))),c),C)) ->
% mult(rd(A,B),mult(B,C))
% Current number of equations to process: 4062
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [140] mult(B,mult(ld(B,mult(A,rd(C,C))),C)) <-> mult(mult(A,ld(B,B)),C)
% Current number of equations to process: 4237
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [141] mult(mult(A,ld(B,B)),C) <-> mult(B,mult(ld(B,mult(A,rd(C,C))),C))
% Current number of equations to process: 4237
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [142] mult(mult(A,rd(B,B)),mult(rd(C,C),B)) <-> mult(mult(A,rd(B,C)),C)
% Current number of equations to process: 4408
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [143] mult(mult(A,rd(B,C)),C) <-> mult(mult(A,rd(B,B)),mult(rd(C,C),B))
% Current number of equations to process: 4408
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [144] mult(mult(A,rd(mult(ld(A,A),C),B)),B) -> mult(A,mult(rd(B,B),C))
% Current number of equations to process: 4606
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [145]
% mult(A,mult(ld(A,B),ld(c,ld(B,mult(mult(B,c),C))))) <->
% mult(mult(B,ld(A,A)),C)
% Current number of equations to process: 4699
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [146]
% mult(mult(B,ld(A,A)),C) <->
% mult(A,mult(ld(A,B),ld(c,ld(B,mult(mult(B,c),C)))))
% Current number of equations to process: 4699
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [147]
% mult(A,mult(rd(C,C),ld(A,ld(A,mult(mult(A,A),B))))) <->
% mult(mult(A,rd(B,C)),C)
% Current number of equations to process: 4899
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [148]
% mult(mult(A,rd(B,C)),C) <->
% mult(A,mult(rd(C,C),ld(A,ld(A,mult(mult(A,A),B)))))
% Current number of equations to process: 4899
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [149]
% mult(A,mult(rd(C,B),ld(A,ld(A,mult(mult(A,A),B))))) <->
% mult(mult(A,rd(B,B)),C)
% Current number of equations to process: 1328
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [150]
% mult(mult(A,rd(B,B)),C) <->
% mult(A,mult(rd(C,B),ld(A,ld(A,mult(mult(A,A),B)))))
% Current number of equations to process: 1328
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [151]
% mult(C,ld(A,ld(A,mult(mult(A,A),B)))) <->
% ld(A,mult(mult(A,rd(B,B)),mult(C,B)))
% Current number of equations to process: 1523
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [152]
% ld(A,mult(mult(A,rd(B,B)),mult(C,B))) <->
% mult(C,ld(A,ld(A,mult(mult(A,A),B))))
% Current number of equations to process: 1523
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [153]
% ld(A,mult(rd(A,B),C)) <->
% mult(rd(ld(c,mult(rd(A,B),mult(ld(rd(A,B),c),c))),c),ld(B,C))
% Current number of equations to process: 1770
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [154]
% mult(rd(ld(c,mult(rd(A,B),mult(ld(rd(A,B),c),c))),c),ld(B,C)) <->
% ld(A,mult(rd(A,B),C))
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [155] mult(rd(mult(A,B),mult(C,B)),mult(V_3,B)) <-> mult(mult(rd(A,C),V_3),B)
% Current number of equations to process: 2017
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [156] mult(mult(rd(A,C),V_3),B) <-> mult(rd(mult(A,B),mult(C,B)),mult(V_3,B))
% Rule
% [88] mult(mult(rd(A,C),rd(V_3,B)),B) -> mult(rd(mult(A,B),mult(C,B)),V_3)
% collapsed.
% Rule
% [115] mult(mult(rd(A,rd(B,C)),V_3),C) -> mult(rd(mult(A,C),B),mult(V_3,C))
% collapsed.
% Current number of equations to process: 2017
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [157] mult(rd(mult(A,B),mult(rd(C,C),B)),C) -> mult(A,mult(rd(B,B),C))
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [158] mult(rd(A,mult(rd(B,B),C)),B) -> mult(rd(A,C),mult(rd(C,C),B))
% Rule [157] mult(rd(mult(A,B),mult(rd(C,C),B)),C) -> mult(A,mult(rd(B,B),C))
% collapsed.
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [159] mult(rd(mult(A,B),rd(C,C)),ld(A,A)) -> rd(mult(A,mult(B,C)),C)
% Current number of equations to process: 2569
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [160] mult(A,ld(B,mult(C,mult(ld(C,B),V_3)))) <-> mult(C,mult(ld(C,A),V_3))
% Current number of equations to process: 2656
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [161] mult(C,mult(ld(C,A),V_3)) <-> mult(A,ld(B,mult(C,mult(ld(C,B),V_3))))
% Current number of equations to process: 2656
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [162] ld(A,mult(B,mult(ld(B,A),C))) <-> ld(V_3,mult(B,mult(ld(B,V_3),C)))
% Current number of equations to process: 2732
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [163] rd(mult(rd(mult(A,B),mult(C,B)),V_3),B) -> mult(rd(A,C),rd(V_3,B))
% Current number of equations to process: 3018
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [164] rd(mult(rd(A,mult(B,C)),V_3),C) <-> mult(rd(rd(A,C),B),rd(V_3,C))
% Current number of equations to process: 3091
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [165] mult(rd(rd(A,C),B),rd(V_3,C)) <-> rd(mult(rd(A,mult(B,C)),V_3),C)
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [166] mult(rd(A,rd(C,C)),rd(C,B)) <-> rd(mult(A,mult(rd(B,B),C)),B)
% Current number of equations to process: 3216
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [167] rd(mult(A,mult(rd(B,B),C)),B) <-> mult(rd(A,rd(C,C)),rd(C,B))
% Current number of equations to process: 3216
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [168] rd(mult(A,mult(rd(C,C),B)),C) <-> rd(mult(A,mult(rd(B,C),B)),B)
% Current number of equations to process: 3659
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [169] rd(mult(A,mult(rd(B,C),B)),B) <-> rd(mult(A,mult(rd(C,C),B)),C)
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [170] mult(A,rd(mult(ld(A,A),B),C)) <-> mult(rd(A,rd(B,B)),rd(B,C))
% Current number of equations to process: 3755
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [171] mult(rd(A,rd(B,B)),rd(B,C)) <-> mult(A,rd(mult(ld(A,A),B),C))
% Current number of equations to process: 3755
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [172] mult(A,rd(mult(ld(A,A),B),C)) <-> rd(mult(A,mult(rd(B,C),B)),B)
% Current number of equations to process: 3868
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [173] rd(mult(A,mult(rd(B,C),B)),B) <-> mult(A,rd(mult(ld(A,A),B),C))
% Current number of equations to process: 3868
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [174] mult(A,ld(c,ld(B,mult(mult(B,c),C)))) <-> ld(B,mult(mult(B,A),C))
% Current number of equations to process: 4491
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [175] ld(B,mult(mult(B,A),C)) <-> mult(A,ld(c,ld(B,mult(mult(B,c),C))))
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [176] ld(B,mult(mult(B,ld(A,B)),C)) <-> mult(ld(A,mult(B,rd(C,C))),C)
% Current number of equations to process: 4594
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [177] mult(ld(A,mult(B,rd(C,C))),C) <-> ld(B,mult(mult(B,ld(A,B)),C))
% Current number of equations to process: 4594
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [178] rd(rd(mult(A,mult(B,C)),C),ld(A,A)) -> rd(mult(A,B),rd(C,C))
% Current number of equations to process: 2070
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [179] rd(mult(A,rd(B,C)),rd(C,C)) <-> rd(rd(mult(A,B),C),ld(A,A))
% Current number of equations to process: 2126
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [180] rd(rd(mult(A,B),C),ld(A,A)) <-> rd(mult(A,rd(B,C)),rd(C,C))
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [181] mult(C,mult(ld(C,A),ld(ld(C,B),V_3))) -> mult(A,ld(B,mult(C,V_3)))
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [182] mult(ld(A,A),ld(rd(B,B),ld(A,C))) <-> mult(ld(A,rd(C,B)),B)
% Current number of equations to process: 2601
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [183] mult(ld(A,rd(C,B)),B) <-> mult(ld(A,A),ld(rd(B,B),ld(A,C)))
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [184] mult(ld(A,A),ld(rd(B,B),C)) <-> mult(ld(A,rd(mult(A,C),B)),B)
% Current number of equations to process: 2652
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [185] mult(ld(A,rd(mult(A,C),B)),B) <-> mult(ld(A,A),ld(rd(B,B),C))
% Current number of equations to process: 2652
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [186] rd(rd(A,ld(B,C)),B) -> rd(rd(A,C),rd(ld(B,C),ld(B,C)))
% Rule [105] rd(rd(mult(A,B),ld(C,B)),C) -> rd(A,rd(ld(C,B),ld(C,B)))
% collapsed.
% Current number of equations to process: 3122
% Current number of ordered equations: 2
% Current number of rules: 169
% New rule produced :
% [187] rd(A,rd(B,ld(A,C))) <-> rd(rd(C,B),rd(ld(A,C),ld(A,C)))
% Current number of equations to process: 3122
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [188] rd(rd(C,B),rd(ld(A,C),ld(A,C))) <-> rd(A,rd(B,ld(A,C)))
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [189] mult(rd(rd(A,B),rd(C,B)),rd(V_3,B)) -> rd(mult(rd(A,C),V_3),B)
% Current number of equations to process: 3433
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [190] mult(rd(rd(A,B),rd(ld(C,A),B)),V_3) <-> rd(mult(C,mult(V_3,B)),B)
% Current number of equations to process: 3646
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [191] rd(mult(C,mult(V_3,B)),B) <-> mult(rd(rd(A,B),rd(ld(C,A),B)),V_3)
% Current number of equations to process: 3646
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [192] rd(rd(A,B),rd(C,B)) <-> rd(rd(V_3,B),rd(ld(rd(A,C),V_3),B))
% Current number of equations to process: 3946
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [193] rd(rd(V_3,B),rd(ld(rd(A,C),V_3),B)) <-> rd(rd(A,B),rd(C,B))
% Current number of equations to process: 3946
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [194] rd(rd(A,B),rd(ld(C,A),B)) <-> rd(rd(V_3,B),rd(ld(C,V_3),B))
% Current number of equations to process: 4171
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [195] mult(rd(A,rd(B,C)),V_3) <-> rd(mult(rd(mult(A,C),B),mult(V_3,C)),C)
% Current number of equations to process: 4402
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [196] rd(mult(rd(mult(A,C),B),mult(V_3,C)),C) <-> mult(rd(A,rd(B,C)),V_3)
% Current number of equations to process: 4402
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [197] ld(rd(A,rd(B,C)),V_3) <-> rd(ld(rd(mult(A,C),B),mult(V_3,C)),C)
% Current number of equations to process: 4872
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [198] rd(ld(rd(mult(A,C),B),mult(V_3,C)),C) <-> ld(rd(A,rd(B,C)),V_3)
% Current number of equations to process: 4872
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [199] mult(ld(rd(A,rd(B,C)),V_3),C) <-> ld(rd(mult(A,C),B),mult(V_3,C))
% Current number of equations to process: 2154
% Current number of ordered equations: 3
% Current number of rules: 182
% New rule produced :
% [200] ld(rd(A,rd(C,B)),rd(V_3,B)) <-> rd(ld(rd(mult(A,B),C),V_3),B)
% Current number of equations to process: 2154
% Current number of ordered equations: 2
% Current number of rules: 183
% New rule produced :
% [201] ld(rd(mult(A,C),B),mult(V_3,C)) <-> mult(ld(rd(A,rd(B,C)),V_3),C)
% Current number of equations to process: 2154
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [202] rd(ld(rd(mult(A,B),C),V_3),B) <-> ld(rd(A,rd(C,B)),rd(V_3,B))
% Current number of equations to process: 2154
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [203]
% rd(A,mult(rd(ld(c,mult(rd(A,B),mult(ld(rd(A,B),c),c))),c),C)) ->
% mult(rd(A,B),rd(B,C))
% Current number of equations to process: 3160
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [204] rd(A,ld(A,mult(rd(A,B),C))) <-> mult(rd(A,B),rd(B,ld(B,C)))
% Current number of equations to process: 3277
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [205] mult(rd(A,B),rd(B,ld(B,C))) <-> rd(A,ld(A,mult(rd(A,B),C)))
% Current number of equations to process: 3277
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [206] mult(rd(mult(A,B),mult(ld(A,A),C)),C) -> mult(mult(A,rd(C,C)),B)
% Current number of equations to process: 3606
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [207] rd(A,ld(B,mult(C,mult(ld(C,B),V_3)))) <-> mult(C,rd(ld(C,A),V_3))
% Current number of equations to process: 3745
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [208] mult(C,rd(ld(C,A),V_3)) <-> rd(A,ld(B,mult(C,mult(ld(C,B),V_3))))
% Current number of equations to process: 3745
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [209] ld(rd(A,B),rd(C,mult(B,ld(A,C)))) -> rd(ld(A,C),ld(A,C))
% Current number of equations to process: 4062
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [210] ld(rd(A,B),rd(mult(A,ld(B,C)),C)) -> rd(ld(B,C),ld(B,C))
% Current number of equations to process: 4062
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [211] ld(rd(A,A),rd(B,B)) -> rd(ld(A,B),ld(A,B))
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [212] ld(rd(A,rd(B,ld(A,C))),rd(C,B)) -> rd(ld(A,C),ld(A,C))
% Current number of equations to process: 4481
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [213] rd(A,mult(rd(B,B),C)) <-> rd(mult(rd(A,B),C),mult(rd(C,B),C))
% Current number of equations to process: 4668
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [214] rd(mult(rd(A,B),C),mult(rd(C,B),C)) <-> rd(A,mult(rd(B,B),C))
% Current number of equations to process: 4668
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [215] ld(rd(A,rd(ld(B,C),ld(A,C))),B) -> rd(ld(A,C),ld(A,C))
% Current number of equations to process: 1539
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [216] ld(ld(A,B),ld(A,C)) -> ld(A,ld(A,mult(mult(A,A),ld(B,C))))
% Rule [71] rd(ld(A,B),ld(ld(C,A),ld(C,B))) -> ld(C,C) collapsed.
% Rule [102] ld(ld(A,B),ld(A,mult(B,C))) -> ld(c,ld(A,mult(mult(A,c),C)))
% collapsed.
% Rule [135] ld(ld(A,rd(C,B)),ld(A,C)) -> ld(A,ld(A,mult(mult(A,A),B)))
% collapsed.
% Current number of equations to process: 1663
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [217] rd(A,mult(rd(B,B),C)) <-> rd(mult(rd(A,C),mult(rd(C,C),B)),B)
% Current number of equations to process: 1778
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [218] rd(mult(rd(A,C),mult(rd(C,C),B)),B) <-> rd(A,mult(rd(B,B),C))
% Current number of equations to process: 1778
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [219] ld(A,rd(mult(A,mult(rd(B,B),C)),B)) -> rd(mult(ld(A,A),C),B)
% Current number of equations to process: 2109
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [220] mult(B,ld(ld(A,C),V_3)) <-> ld(A,mult(mult(A,B),ld(C,mult(A,V_3))))
% Current number of equations to process: 2247
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [221] ld(A,mult(mult(A,B),ld(C,mult(A,V_3)))) <-> mult(B,ld(ld(A,C),V_3))
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [222] rd(mult(rd(A,mult(C,B)),mult(V_3,B)),B) <-> mult(rd(rd(A,B),C),V_3)
% Current number of equations to process: 2756
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [223] mult(rd(rd(A,B),C),V_3) <-> rd(mult(rd(A,mult(C,B)),mult(V_3,B)),B)
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [224] ld(rd(rd(A,B),C),V_3) <-> rd(ld(rd(A,mult(C,B)),mult(V_3,B)),B)
% Current number of equations to process: 3272
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [225] rd(ld(rd(A,mult(C,B)),mult(V_3,B)),B) <-> ld(rd(rd(A,B),C),V_3)
% Current number of equations to process: 3272
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [226] rd(ld(rd(A,mult(B,C)),V_3),C) <-> ld(rd(rd(A,C),B),rd(V_3,C))
% Current number of equations to process: 3520
% Current number of ordered equations: 3
% Current number of rules: 206
% New rule produced :
% [227] ld(rd(A,mult(C,B)),mult(V_3,B)) <-> mult(ld(rd(rd(A,B),C),V_3),B)
% Current number of equations to process: 3520
% Current number of ordered equations: 2
% Current number of rules: 207
% New rule produced :
% [228] mult(ld(rd(rd(A,B),C),V_3),B) <-> ld(rd(A,mult(C,B)),mult(V_3,B))
% Current number of equations to process: 3520
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [229] ld(rd(rd(A,C),B),rd(V_3,C)) <-> rd(ld(rd(A,mult(B,C)),V_3),C)
% Current number of equations to process: 3520
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [230] rd(B,ld(ld(A,C),V_3)) <-> ld(A,rd(mult(A,B),ld(C,mult(A,V_3))))
% Rule [65] rd(ld(A,mult(B,C)),ld(ld(B,A),C)) -> ld(B,B) collapsed.
% Current number of equations to process: 4627
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [231] ld(A,rd(mult(A,B),ld(C,mult(A,V_3)))) <-> rd(B,ld(ld(A,C),V_3))
% Current number of equations to process: 4627
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [232]
% rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),ld(C,V_3))))) <-> ld(A,rd(B,ld(C,V_3)))
% Current number of equations to process: 1964
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [233]
% ld(A,rd(B,ld(C,V_3))) <-> rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),ld(C,V_3)))))
% Current number of equations to process: 1964
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [234] mult(A,ld(B,ld(A,mult(mult(A,B),C)))) <-> ld(A,mult(mult(A,A),C))
% Current number of equations to process: 2287
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [235] ld(A,mult(mult(A,A),C)) <-> mult(A,ld(B,ld(A,mult(mult(A,B),C))))
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [236] ld(A,ld(B,mult(mult(B,A),C))) <-> ld(V_3,ld(B,mult(mult(B,V_3),C)))
% Rule [31] ld(A,ld(B,mult(mult(B,A),C))) <-> ld(c,ld(B,mult(mult(B,c),C)))
% collapsed.
% Rule [130] ld(A,ld(A,mult(mult(A,A),B))) <-> ld(C,ld(A,mult(mult(A,C),B)))
% collapsed.
% Rule [131] ld(C,ld(A,mult(mult(A,C),B))) <-> ld(A,ld(A,mult(mult(A,A),B)))
% collapsed.
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [237] rd(A,mult(rd(B,C),B)) <-> rd(mult(rd(A,B),C),mult(rd(C,C),B))
% Current number of equations to process: 2710
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [238] rd(mult(rd(A,B),C),mult(rd(C,C),B)) <-> rd(A,mult(rd(B,C),B))
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [239] rd(A,ld(B,ld(B,mult(mult(B,B),C)))) <-> ld(B,rd(mult(B,A),C))
% Current number of equations to process: 3180
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [240] ld(B,rd(mult(B,A),C)) <-> rd(A,ld(B,ld(B,mult(mult(B,B),C))))
% Current number of equations to process: 3180
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [241] ld(rd(mult(A,rd(B,B)),rd(B,C)),A) -> rd(mult(ld(A,A),B),C)
% Current number of equations to process: 3581
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [242] ld(rd(mult(A,rd(B,B)),C),A) -> rd(mult(ld(A,A),B),ld(C,B))
% Rule [241] ld(rd(mult(A,rd(B,B)),rd(B,C)),A) -> rd(mult(ld(A,A),B),C)
% collapsed.
% Current number of equations to process: 3636
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [243] mult(rd(mult(A,mult(rd(B,C),B)),B),C) -> mult(A,mult(rd(C,C),B))
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [244] mult(rd(mult(A,mult(rd(B,B),C)),B),C) -> mult(A,mult(rd(C,B),C))
% Current number of equations to process: 3949
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [245] ld(A,mult(rd(A,rd(B,B)),rd(B,C))) -> rd(mult(ld(A,A),B),C)
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [246] ld(A,mult(rd(A,rd(B,B)),C)) <-> rd(mult(ld(A,A),B),ld(C,B))
% Current number of equations to process: 4180
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [247] rd(mult(ld(A,A),B),ld(C,B)) <-> ld(A,mult(rd(A,rd(B,B)),C))
% Current number of equations to process: 4180
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [248] rd(mult(ld(A,A),C),ld(B,C)) <-> ld(A,rd(mult(A,mult(B,C)),C))
% Current number of equations to process: 4368
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [249] ld(A,rd(mult(A,mult(B,C)),C)) <-> rd(mult(ld(A,A),C),ld(B,C))
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [250] mult(A,rd(mult(ld(A,A),B),ld(C,B))) <-> mult(rd(A,rd(B,B)),C)
% Current number of equations to process: 1132
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [251] mult(rd(A,rd(B,B)),C) <-> mult(A,rd(mult(ld(A,A),B),ld(C,B)))
% Current number of equations to process: 1132
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [252] ld(A,rd(mult(A,mult(rd(B,C),B)),B)) -> rd(mult(ld(A,A),B),C)
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 227
% Rule [251] mult(rd(A,rd(B,B)),C) <-> mult(A,rd(mult(ld(A,A),B),ld(C,B))) is composed into 
% [251] mult(rd(A,rd(B,B)),C) <-> rd(mult(A,mult(C,B)),B)
% New rule produced :
% [253] mult(A,rd(mult(ld(A,A),C),ld(B,C))) -> rd(mult(A,mult(B,C)),C)
% Rule [250] mult(A,rd(mult(ld(A,A),B),ld(C,B))) <-> mult(rd(A,rd(B,B)),C)
% collapsed.
% Current number of equations to process: 1651
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [254] mult(A,ld(B,ld(c,mult(mult(c,B),C)))) <-> ld(c,mult(mult(c,A),C))
% Current number of equations to process: 1795
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [255] ld(c,mult(mult(c,A),C)) <-> mult(A,ld(B,ld(c,mult(mult(c,B),C))))
% Current number of equations to process: 1795
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [256] mult(A,ld(B,mult(mult(B,ld(A,B)),C))) <-> mult(mult(B,ld(A,A)),C)
% Current number of equations to process: 2194
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [257] mult(mult(B,ld(A,A)),C) <-> mult(A,ld(B,mult(mult(B,ld(A,B)),C)))
% Current number of equations to process: 2194
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [258] mult(A,mult(ld(B,mult(A,rd(C,C))),C)) -> mult(mult(A,ld(B,A)),C)
% Current number of equations to process: 2509
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [259] rd(ld(A,mult(mult(A,ld(B,A)),C)),C) <-> ld(B,mult(A,rd(C,C)))
% Current number of equations to process: 2701
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [260] ld(B,mult(A,rd(C,C))) <-> rd(ld(A,mult(mult(A,ld(B,A)),C)),C)
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [261] rd(mult(rd(A,rd(B,B)),C),ld(A,A)) -> rd(mult(A,C),rd(B,B))
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [262] rd(rd(A,B),ld(C,C)) <-> rd(mult(C,rd(ld(C,A),B)),rd(B,B))
% Current number of equations to process: 3136
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [263] rd(mult(C,rd(ld(C,A),B)),rd(B,B)) <-> rd(rd(A,B),ld(C,C))
% Current number of equations to process: 3136
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [264] ld(A,rd(mult(A,C),B)) <-> rd(mult(ld(A,A),ld(rd(B,B),C)),B)
% Current number of equations to process: 3468
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [265] rd(mult(ld(A,A),ld(rd(B,B),C)),B) <-> ld(A,rd(mult(A,C),B))
% Current number of equations to process: 3468
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [266] ld(rd(mult(A,V_3),mult(B,V_3)),mult(C,V_3)) -> mult(ld(rd(A,B),C),V_3)
% Current number of equations to process: 3823
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [267] ld(rd(mult(A,B),mult(C,B)),V_3) -> mult(ld(rd(A,C),rd(V_3,B)),B)
% Rule
% [266] ld(rd(mult(A,V_3),mult(B,V_3)),mult(C,V_3)) -> mult(ld(rd(A,B),C),V_3)
% collapsed.
% Current number of equations to process: 3897
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [268] ld(rd(mult(A,B),C),V_3) <-> mult(ld(rd(A,rd(C,B)),rd(V_3,B)),B)
% Current number of equations to process: 4203
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [269] mult(ld(rd(A,rd(C,B)),rd(V_3,B)),B) <-> ld(rd(mult(A,B),C),V_3)
% Current number of equations to process: 4203
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [270] rd(A,ld(A,mult(rd(A,B),mult(B,C)))) -> mult(rd(A,B),rd(B,C))
% Current number of equations to process: 4772
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [271]
% rd(mult(rd(A,A),mult(rd(A,A),ld(B,A))),ld(B,A)) -> rd(mult(B,A),mult(B,A))
% Current number of equations to process: 4993
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [272] rd(ld(rd(A,A),B),B) <-> rd(ld(rd(A,B),B),ld(rd(A,B),B))
% Current number of equations to process: 1963
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [273] rd(ld(rd(A,B),B),ld(rd(A,B),B)) <-> rd(ld(rd(A,A),B),B)
% Current number of equations to process: 1963
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [274] mult(A,ld(B,ld(C,mult(mult(C,B),V_3)))) <-> ld(C,mult(mult(C,A),V_3))
% Rule [174] mult(A,ld(c,ld(B,mult(mult(B,c),C)))) <-> ld(B,mult(mult(B,A),C))
% collapsed.
% Rule [234] mult(A,ld(B,ld(A,mult(mult(A,B),C)))) <-> ld(A,mult(mult(A,A),C))
% collapsed.
% Rule [254] mult(A,ld(B,ld(c,mult(mult(c,B),C)))) <-> ld(c,mult(mult(c,A),C))
% collapsed.
% Current number of equations to process: 2342
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [275] ld(C,mult(mult(C,A),V_3)) <-> mult(A,ld(B,ld(C,mult(mult(C,B),V_3))))
% Rule [18] ld(A,mult(mult(A,B),C)) <-> mult(B,ld(A,ld(A,mult(mult(A,A),C))))
% collapsed.
% Rule [175] ld(B,mult(mult(B,A),C)) <-> mult(A,ld(c,ld(B,mult(mult(B,c),C))))
% collapsed.
% Rule [235] ld(A,mult(mult(A,A),C)) <-> mult(A,ld(B,ld(A,mult(mult(A,B),C))))
% collapsed.
% Rule [255] ld(c,mult(mult(c,A),C)) <-> mult(A,ld(B,ld(c,mult(mult(c,B),C))))
% collapsed.
% Current number of equations to process: 2342
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [276] mult(ld(rd(rd(A,B),C),rd(V_3,B)),B) <-> ld(rd(A,mult(C,B)),V_3)
% Current number of equations to process: 2899
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [277] ld(rd(A,mult(C,B)),V_3) <-> mult(ld(rd(rd(A,B),C),rd(V_3,B)),B)
% Current number of equations to process: 2899
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [278] rd(A,ld(B,ld(C,mult(mult(C,B),V_3)))) <-> ld(C,rd(mult(C,A),V_3))
% Rule [64] rd(A,ld(B,ld(C,mult(mult(C,B),A)))) -> ld(C,C) collapsed.
% Rule [239] rd(A,ld(B,ld(B,mult(mult(B,B),C)))) <-> ld(B,rd(mult(B,A),C))
% collapsed.
% Current number of equations to process: 3448
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [279] ld(C,rd(mult(C,A),V_3)) <-> rd(A,ld(B,ld(C,mult(mult(C,B),V_3))))
% Rule [240] ld(B,rd(mult(B,A),C)) <-> rd(A,ld(B,ld(B,mult(mult(B,B),C))))
% collapsed.
% Current number of equations to process: 3448
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [280] rd(B,ld(B,ld(rd(A,B),mult(A,C)))) -> ld(rd(A,B),rd(A,C))
% Current number of equations to process: 3979
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [281] ld(rd(B,A),rd(B,ld(B,C))) -> rd(A,ld(A,ld(rd(B,A),C)))
% Current number of equations to process: 4047
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [282] ld(ld(rd(A,B),rd(A,C)),B) -> ld(B,ld(rd(A,B),mult(A,C)))
% Current number of equations to process: 4046
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [283] rd(mult(ld(A,A),C),ld(rd(B,C),C)) <-> ld(A,rd(mult(A,B),C))
% Current number of equations to process: 4635
% Current number of ordered equations: 1
% Current number of rules: 246
% New rule produced :
% [284] ld(A,rd(mult(A,B),C)) <-> rd(mult(ld(A,A),C),ld(rd(B,C),C))
% Current number of equations to process: 4635
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [285] rd(A,ld(A,rd(mult(A,B),C))) -> rd(mult(A,rd(C,C)),rd(B,C))
% Current number of equations to process: 4741
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [286] rd(A,ld(A,mult(rd(A,rd(B,B)),C))) -> rd(mult(A,rd(B,B)),C)
% Current number of equations to process: 1535
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [287] rd(rd(A,rd(B,B)),rd(ld(A,A),C)) -> rd(A,rd(rd(B,B),C))
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [288] ld(ld(rd(A,B),C),B) -> ld(B,ld(rd(A,B),mult(A,ld(C,A))))
% Rule [282] ld(ld(rd(A,B),rd(A,C)),B) -> ld(B,ld(rd(A,B),mult(A,C)))
% collapsed.
% Current number of equations to process: 1789
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [289] rd(A,ld(A,rd(B,C))) -> rd(mult(A,rd(C,C)),rd(ld(A,B),C))
% Rule [285] rd(A,ld(A,rd(mult(A,B),C))) -> rd(mult(A,rd(C,C)),rd(B,C))
% collapsed.
% Current number of equations to process: 1983
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [290] rd(A,rd(rd(B,B),ld(C,ld(A,A)))) <-> rd(rd(A,rd(B,B)),C)
% Current number of equations to process: 2173
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [291] rd(rd(A,rd(B,B)),C) <-> rd(A,rd(rd(B,B),ld(C,ld(A,A))))
% Current number of equations to process: 2173
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [292] ld(rd(rd(A,rd(B,B)),C),A) -> rd(rd(B,B),ld(C,ld(A,A)))
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [293] rd(mult(mult(A,rd(B,C)),C),mult(rd(C,C),B)) -> mult(A,rd(B,B))
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [294]
% rd(mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),C))))),mult(B,C)) ->
% mult(A,rd(C,C))
% Current number of equations to process: 2900
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [295] mult(mult(A,B),ld(C,mult(A,mult(ld(A,C),V_3)))) -> mult(A,mult(B,V_3))
% Rule [99] ld(A,ld(A,mult(mult(A,A),ld(B,mult(A,mult(ld(A,B),C)))))) -> C
% collapsed.
% Current number of equations to process: 3116
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [296] ld(A,mult(B,ld(C,mult(A,mult(ld(A,C),V_3))))) -> mult(ld(A,B),V_3)
% Current number of equations to process: 3327
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [297]
% rd(mult(A,mult(rd(B,C),ld(A,ld(A,mult(mult(A,A),C))))),B) -> mult(A,rd(C,C))
% Current number of equations to process: 3490
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [298] rd(mult(mult(A,rd(B,B)),mult(rd(C,C),B)),C) -> mult(A,rd(B,C))
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [299]
% rd(mult(A,mult(rd(B,B),ld(A,ld(A,mult(mult(A,A),C))))),B) -> mult(A,rd(C,B))
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [300] mult(ld(A,B),ld(c,ld(A,mult(mult(A,c),C)))) <-> ld(A,mult(B,C))
% Current number of equations to process: 4053
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [301] ld(A,mult(B,C)) <-> mult(ld(A,B),ld(c,ld(A,mult(mult(A,c),C))))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [302] mult(ld(A,A),ld(rd(B,B),ld(A,mult(C,B)))) -> mult(ld(A,C),B)
% Rule [57] mult(ld(A,A),ld(rd(B,B),ld(A,mult(mult(A,C),B)))) -> mult(C,B)
% collapsed.
% Current number of equations to process: 4475
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [303] rd(mult(A,B),ld(C,mult(A,mult(ld(A,C),B)))) -> mult(A,rd(B,B))
% Current number of equations to process: 4698
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [304] rd(rd(mult(A,mult(ld(B,B),C)),C),ld(B,A)) -> rd(B,rd(C,C))
% Current number of equations to process: 4858
% Current number of ordered equations: 0
% Current number of rules: 263
% Rule [231] ld(A,rd(mult(A,B),ld(C,mult(A,V_3)))) <-> rd(B,ld(ld(A,C),V_3)) is composed into 
% [231]
% ld(A,rd(mult(A,B),ld(C,mult(A,V_3)))) <->
% rd(B,ld(A,ld(A,mult(mult(A,A),ld(C,mult(A,V_3))))))
% Rule [221]
% ld(A,mult(mult(A,B),ld(C,mult(A,V_3)))) <-> mult(B,ld(ld(A,C),V_3)) is composed into 
% [221]
% ld(A,mult(mult(A,B),ld(C,mult(A,V_3)))) <->
% mult(B,ld(A,ld(A,mult(mult(A,A),ld(C,mult(A,V_3))))))
% Rule [127] ld(A,rd(B,ld(C,mult(A,V_3)))) <-> rd(ld(A,B),ld(ld(A,C),V_3)) is composed into 
% [127]
% ld(A,rd(B,ld(C,mult(A,V_3)))) <->
% rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),ld(C,mult(A,V_3))))))
% Rule [107]
% mult(mult(A,B),ld(C,mult(A,V_3))) <-> mult(A,mult(B,ld(ld(A,C),V_3))) is composed into 
% [107]
% mult(mult(A,B),ld(C,mult(A,V_3))) <->
% mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),ld(C,mult(A,V_3)))))))
% New rule produced :
% [305] ld(ld(A,B),C) -> ld(A,ld(A,mult(mult(A,A),ld(B,mult(A,C)))))
% Rule [32] ld(ld(B,B),C) <-> ld(A,ld(B,mult(mult(B,A),C))) collapsed.
% Rule
% [106] mult(A,mult(B,ld(ld(A,C),V_3))) <-> mult(mult(A,B),ld(C,mult(A,V_3)))
% collapsed.
% Rule [108] mult(ld(A,B),ld(ld(A,C),V_3)) <-> ld(A,mult(B,ld(C,mult(A,V_3))))
% collapsed.
% Rule [119] mult(A,rd(B,ld(ld(A,C),V_3))) -> rd(mult(A,B),ld(C,mult(A,V_3)))
% collapsed.
% Rule [126] rd(ld(A,B),ld(ld(A,C),V_3)) <-> ld(A,rd(B,ld(C,mult(A,V_3))))
% collapsed.
% Rule [134] ld(ld(A,rd(mult(A,C),B)),C) -> ld(A,ld(A,mult(mult(A,A),B)))
% collapsed.
% Rule [181] mult(C,mult(ld(C,A),ld(ld(C,B),V_3))) -> mult(A,ld(B,mult(C,V_3)))
% collapsed.
% Rule [216] ld(ld(A,B),ld(A,C)) -> ld(A,ld(A,mult(mult(A,A),ld(B,C))))
% collapsed.
% Rule
% [220] mult(B,ld(ld(A,C),V_3)) <-> ld(A,mult(mult(A,B),ld(C,mult(A,V_3))))
% collapsed.
% Rule [230] rd(B,ld(ld(A,C),V_3)) <-> ld(A,rd(mult(A,B),ld(C,mult(A,V_3))))
% collapsed.
% Rule [288] ld(ld(rd(A,B),C),B) -> ld(B,ld(rd(A,B),mult(A,ld(C,A))))
% collapsed.
% Current number of equations to process: 1450
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [306] rd(rd(mult(A,mult(rd(C,C),B)),C),rd(B,C)) -> rd(A,rd(B,B))
% Current number of equations to process: 1601
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [307] mult(B,ld(A,A)) <-> rd(mult(A,mult(ld(A,B),C)),mult(ld(B,B),C))
% Current number of equations to process: 1845
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [308] rd(mult(A,mult(ld(A,B),C)),mult(ld(B,B),C)) <-> mult(B,ld(A,A))
% Current number of equations to process: 1845
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [309] rd(mult(A,B),ld(C,mult(A,mult(ld(A,C),V_3)))) <-> mult(A,rd(B,V_3))
% Rule [303] rd(mult(A,B),ld(C,mult(A,mult(ld(A,C),B)))) -> mult(A,rd(B,B))
% collapsed.
% Current number of equations to process: 2280
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [310] mult(A,rd(B,V_3)) <-> rd(mult(A,B),ld(C,mult(A,mult(ld(A,C),V_3))))
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [311] mult(A,rd(B,ld(A,ld(A,mult(mult(A,A),C))))) -> rd(mult(A,B),C)
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [312] rd(mult(rd(A,mult(ld(B,B),C)),C),ld(B,A)) -> mult(B,rd(C,C))
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [313] ld(A,rd(B,ld(C,mult(A,mult(ld(A,C),V_3))))) -> rd(ld(A,B),V_3)
% Current number of equations to process: 3198
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [314] rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),C)))) <-> ld(A,rd(B,C))
% Rule
% [232]
% rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),ld(C,V_3))))) <-> ld(A,rd(B,ld(C,V_3)))
% collapsed.
% Current number of equations to process: 3341
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [315] ld(A,rd(B,C)) <-> rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),C))))
% Rule
% [127]
% ld(A,rd(B,ld(C,mult(A,V_3)))) <->
% rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),ld(C,mult(A,V_3)))))) collapsed.
% Rule
% [233]
% ld(A,rd(B,ld(C,V_3))) <-> rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),ld(C,V_3)))))
% collapsed.
% Current number of equations to process: 3341
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [316] mult(A,mult(B,ld(c,ld(A,mult(mult(A,c),C))))) <-> mult(mult(A,B),C)
% Current number of equations to process: 3685
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [317] mult(mult(A,B),C) <-> mult(A,mult(B,ld(c,ld(A,mult(mult(A,c),C)))))
% Current number of equations to process: 3685
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [318] rd(mult(ld(A,A),ld(rd(C,C),ld(A,B))),C) <-> ld(A,rd(B,C))
% Current number of equations to process: 4118
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [319] ld(A,rd(B,C)) <-> rd(mult(ld(A,A),ld(rd(C,C),ld(A,B))),C)
% Current number of equations to process: 4118
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [320] mult(A,ld(B,B)) <-> mult(rd(B,rd(C,C)),ld(B,mult(A,rd(C,C))))
% Current number of equations to process: 4456
% Current number of ordered equations: 1
% Current number of rules: 264
% New rule produced :
% [321] mult(rd(B,rd(C,C)),ld(B,mult(A,rd(C,C)))) <-> mult(A,ld(B,B))
% Current number of equations to process: 4456
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [322] rd(mult(rd(A,rd(B,B)),ld(C,C)),ld(C,A)) -> rd(C,rd(B,B))
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [323]
% mult(ld(rd(A,rd(C,mult(rd(B,B),C))),rd(mult(A,B),mult(rd(B,B),C))),mult(
% rd(B,B),C))
% -> mult(rd(C,C),B)
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [324] rd(mult(A,ld(B,B)),ld(B,mult(A,rd(C,C)))) -> rd(B,rd(C,C))
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [325] mult(A,rd(B,ld(c,ld(A,mult(mult(A,c),C))))) -> rd(mult(A,B),C)
% Current number of equations to process: 1067
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [326] rd(ld(A,B),ld(c,ld(A,mult(mult(A,c),C)))) <-> ld(A,rd(B,C))
% Current number of equations to process: 1275
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [327] ld(A,rd(B,C)) <-> rd(ld(A,B),ld(c,ld(A,mult(mult(A,c),C))))
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [328] mult(rd(c,rd(A,A)),ld(B,mult(c,rd(A,A)))) -> mult(c,ld(B,c))
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [329] mult(A,mult(B,ld(V_3,ld(A,mult(mult(A,V_3),C))))) <-> mult(mult(A,B),C)
% Rule
% [316] mult(A,mult(B,ld(c,ld(A,mult(mult(A,c),C))))) <-> mult(mult(A,B),C)
% collapsed.
% Current number of equations to process: 1741
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [330] mult(mult(A,B),C) <-> mult(A,mult(B,ld(V_3,ld(A,mult(mult(A,V_3),C)))))
% Rule [16] mult(mult(A,B),C) <-> mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),C)))))
% collapsed.
% Rule
% [107]
% mult(mult(A,B),ld(C,mult(A,V_3))) <->
% mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),ld(C,mult(A,V_3))))))) collapsed.
% Rule
% [317] mult(mult(A,B),C) <-> mult(A,mult(B,ld(c,ld(A,mult(mult(A,c),C)))))
% collapsed.
% Current number of equations to process: 1741
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [331] mult(ld(A,B),ld(V_3,ld(A,mult(mult(A,V_3),C)))) <-> ld(A,mult(B,C))
% Rule [33] mult(ld(A,B),ld(A,ld(A,mult(mult(A,A),C)))) <-> ld(A,mult(B,C))
% collapsed.
% Rule [103] mult(ld(A,A),ld(B,ld(A,mult(mult(A,B),C)))) -> C collapsed.
% Rule [300] mult(ld(A,B),ld(c,ld(A,mult(mult(A,c),C)))) <-> ld(A,mult(B,C))
% collapsed.
% Current number of equations to process: 2239
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [332] mult(A,rd(B,ld(V_3,ld(A,mult(mult(A,V_3),C))))) -> rd(mult(A,B),C)
% Rule [311] mult(A,rd(B,ld(A,ld(A,mult(mult(A,A),C))))) -> rd(mult(A,B),C)
% collapsed.
% Rule [325] mult(A,rd(B,ld(c,ld(A,mult(mult(A,c),C))))) -> rd(mult(A,B),C)
% collapsed.
% Current number of equations to process: 2486
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [333] rd(ld(A,B),ld(V_3,ld(A,mult(mult(A,V_3),C)))) <-> ld(A,rd(B,C))
% Rule [314] rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),C)))) <-> ld(A,rd(B,C))
% collapsed.
% Rule [326] rd(ld(A,B),ld(c,ld(A,mult(mult(A,c),C)))) <-> ld(A,rd(B,C))
% collapsed.
% Current number of equations to process: 2747
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [334] ld(A,rd(B,C)) <-> rd(ld(A,B),ld(V_3,ld(A,mult(mult(A,V_3),C))))
% Rule [315] ld(A,rd(B,C)) <-> rd(ld(A,B),ld(A,ld(A,mult(mult(A,A),C))))
% collapsed.
% Rule [327] ld(A,rd(B,C)) <-> rd(ld(A,B),ld(c,ld(A,mult(mult(A,c),C))))
% collapsed.
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [335] ld(rd(mult(A,B),mult(rd(B,B),C)),mult(A,C)) -> mult(rd(C,B),C)
% Current number of equations to process: 3243
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [336] mult(rd(A,rd(rd(B,B),C)),rd(ld(A,A),C)) -> rd(A,rd(B,B))
% Current number of equations to process: 3489
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [337] rd(mult(A,rd(mult(ld(A,A),B),C)),rd(B,C)) -> rd(A,rd(B,B))
% Current number of equations to process: 3628
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [338] rd(mult(A,ld(B,A)),ld(B,mult(A,rd(C,C)))) -> rd(A,rd(C,C))
% Current number of equations to process: 3839
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [339] rd(mult(A,ld(B,mult(mult(B,ld(A,B)),C))),C) <-> mult(B,ld(A,A))
% Current number of equations to process: 3988
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [340] mult(B,ld(A,A)) <-> rd(mult(A,ld(B,mult(mult(B,ld(A,B)),C))),C)
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [341] mult(rd(A,C),rd(C,ld(C,ld(rd(A,C),B)))) -> rd(A,ld(A,B))
% Current number of equations to process: 4424
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [342] mult(rd(A,mult(rd(B,B),C)),mult(rd(C,B),C)) -> mult(rd(A,B),C)
% Current number of equations to process: 4671
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [343] ld(rd(A,mult(rd(B,B),C)),mult(rd(A,B),C)) -> mult(rd(C,B),C)
% Current number of equations to process: 4948
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [344]
% mult(ld(rd(rd(A,B),rd(C,mult(rd(B,B),C))),rd(A,mult(rd(B,B),C))),mult(
% rd(B,B),C))
% -> mult(rd(C,C),B)
% Current number of equations to process: 1941
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [345] ld(rd(mult(rd(A,B),C),mult(rd(C,C),B)),A) -> mult(rd(B,C),B)
% Current number of equations to process: 2267
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [346] mult(rd(A,mult(rd(B,C),B)),mult(rd(C,C),B)) -> mult(rd(A,B),C)
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [347] ld(rd(A,mult(rd(B,C),B)),mult(rd(A,B),C)) -> mult(rd(C,C),B)
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [348] mult(ld(A,mult(rd(A,rd(B,B)),C)),ld(C,B)) -> mult(ld(A,A),B)
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [349] mult(ld(A,rd(mult(A,mult(B,C)),C)),ld(B,C)) -> mult(ld(A,A),C)
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [350] mult(rd(A,rd(C,C)),ld(B,mult(A,rd(C,C)))) -> mult(A,ld(B,A))
% Rule [328] mult(rd(c,rd(A,A)),ld(B,mult(c,rd(A,A)))) -> mult(c,ld(B,c))
% collapsed.
% Current number of equations to process: 3502
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [351] mult(A,rd(ld(B,mult(mult(B,ld(A,B)),C)),C)) -> mult(B,rd(C,C))
% Current number of equations to process: 3639
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [352] rd(A,ld(B,B)) <-> rd(mult(B,rd(ld(B,mult(A,C)),C)),rd(C,C))
% Current number of equations to process: 3817
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [353] rd(mult(B,rd(ld(B,mult(A,C)),C)),rd(C,C)) <-> rd(A,ld(B,B))
% Current number of equations to process: 3817
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [354] mult(rd(ld(rd(A,B),B),ld(rd(A,B),B)),B) <-> ld(rd(A,A),B)
% Current number of equations to process: 4182
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [355] ld(rd(A,A),B) <-> mult(rd(ld(rd(A,B),B),ld(rd(A,B),B)),B)
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [356] rd(A,ld(rd(B,B),C)) <-> rd(mult(rd(A,ld(rd(B,C),C)),C),B)
% Current number of equations to process: 4353
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [357] rd(mult(rd(A,ld(rd(B,C),C)),C),B) <-> rd(A,ld(rd(B,B),C))
% Current number of equations to process: 4353
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [358] mult(rd(A,ld(rd(B,B),C)),B) <-> mult(rd(A,ld(rd(B,C),C)),C)
% Current number of equations to process: 4889
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [359] mult(rd(A,ld(rd(B,C),C)),C) <-> mult(rd(A,ld(rd(B,B),C)),B)
% Current number of equations to process: 4889
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [360] rd(ld(rd(A,A),B),A) <-> rd(ld(rd(A,B),B),ld(rd(A,A),B))
% Current number of equations to process: 1810
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [361] rd(ld(rd(A,B),B),ld(rd(A,A),B)) <-> rd(ld(rd(A,A),B),A)
% Current number of equations to process: 1810
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [362] rd(A,ld(rd(B,C),C)) <-> rd(mult(rd(A,ld(rd(B,B),C)),B),C)
% Current number of equations to process: 2329
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [363] rd(mult(rd(A,ld(rd(B,B),C)),B),C) <-> rd(A,ld(rd(B,C),C))
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [364] mult(rd(ld(rd(A,A),B),B),ld(rd(A,B),B)) -> ld(rd(A,B),B)
% Current number of equations to process: 3188
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [365] ld(rd(ld(rd(A,A),B),B),ld(rd(A,B),B)) -> ld(rd(A,B),B)
% Current number of equations to process: 3370
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [366] mult(ld(A,rd(mult(A,B),C)),ld(rd(B,C),C)) -> mult(ld(A,A),C)
% Current number of equations to process: 3507
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [367]
% ld(A,ld(A,mult(mult(A,A),ld(rd(mult(A,B),C),mult(A,mult(ld(A,A),C)))))) ->
% ld(rd(B,C),C)
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [368] ld(rd(A,rd(rd(B,B),C)),rd(A,rd(B,B))) -> rd(ld(A,A),C)
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [369] ld(rd(A,B),rd(A,rd(C,C))) -> rd(ld(A,A),ld(B,rd(C,C)))
% Rule [368] ld(rd(A,rd(rd(B,B),C)),rd(A,rd(B,B))) -> rd(ld(A,A),C) collapsed.
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [370] rd(mult(A,rd(C,C)),rd(ld(A,mult(B,C)),C)) -> rd(A,ld(A,B))
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [371] mult(rd(A,rd(rd(B,B),ld(C,ld(A,A)))),C) -> rd(A,rd(B,B))
% Current number of equations to process: 4526
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [372] mult(rd(A,B),rd(ld(A,A),ld(B,rd(C,C)))) -> rd(A,rd(C,C))
% Current number of equations to process: 4627
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [373] rd(mult(A,B),rd(C,ld(B,mult(ld(A,A),C)))) -> rd(A,rd(C,C))
% Current number of equations to process: 4793
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [374] rd(C,ld(B,mult(ld(A,A),C))) <-> rd(ld(A,mult(mult(A,B),C)),C)
% Current number of equations to process: 4845
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [375] rd(ld(A,mult(mult(A,B),C)),C) <-> rd(C,ld(B,mult(ld(A,A),C)))
% Current number of equations to process: 4845
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [376] ld(rd(ld(A,mult(mult(A,B),C)),C),C) -> ld(B,mult(ld(A,A),C))
% Current number of equations to process: 1453
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [377] ld(C,mult(mult(C,B),A)) <-> mult(rd(A,ld(B,mult(ld(C,C),A))),A)
% Current number of equations to process: 1452
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [378] mult(rd(A,ld(B,mult(ld(C,C),A))),A) <-> ld(C,mult(mult(C,B),A))
% Current number of equations to process: 1452
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [379] mult(rd(A,B),rd(ld(A,mult(mult(A,B),C)),C)) -> mult(A,rd(C,C))
% Current number of equations to process: 2050
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [380] rd(mult(A,ld(rd(B,B),C)),ld(rd(B,C),C)) -> rd(mult(A,B),C)
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [381] mult(A,ld(rd(B,B),C)) <-> mult(rd(mult(A,B),C),ld(rd(B,C),C))
% Current number of equations to process: 2448
% Current number of ordered equations: 1
% Current number of rules: 310
% New rule produced :
% [382] mult(rd(mult(A,B),C),ld(rd(B,C),C)) <-> mult(A,ld(rd(B,B),C))
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [383] mult(rd(A,B),ld(rd(C,B),B)) <-> mult(rd(A,C),ld(rd(C,C),B))
% Current number of equations to process: 3035
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [384] mult(rd(A,C),ld(rd(C,C),B)) <-> mult(rd(A,B),ld(rd(C,B),B))
% Current number of equations to process: 3035
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [385] mult(A,ld(rd(B,C),C)) <-> mult(rd(mult(A,C),B),ld(rd(B,B),C))
% Current number of equations to process: 3886
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [386] mult(rd(mult(A,C),B),ld(rd(B,B),C)) <-> mult(A,ld(rd(B,C),C))
% Current number of equations to process: 3886
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [387] rd(mult(A,ld(rd(B,C),C)),ld(rd(B,B),C)) -> rd(mult(A,C),B)
% Current number of equations to process: 4570
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [388] mult(rd(ld(rd(A,B),B),ld(rd(A,A),B)),A) -> ld(rd(A,A),B)
% Current number of equations to process: 4858
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [389] ld(rd(A,B),B) <-> mult(rd(ld(rd(A,A),B),A),ld(rd(A,A),B))
% Current number of equations to process: 2012
% Current number of ordered equations: 1
% Current number of rules: 318
% New rule produced :
% [390] mult(rd(ld(rd(A,A),B),A),ld(rd(A,A),B)) <-> ld(rd(A,B),B)
% Current number of equations to process: 2012
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [391] ld(rd(ld(rd(A,A),B),A),ld(rd(A,B),B)) -> ld(rd(A,A),B)
% Current number of equations to process: 2341
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [392] mult(ld(A,rd(B,C)),ld(rd(ld(A,B),C),C)) -> mult(ld(A,A),C)
% Current number of equations to process: 2484
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [393] mult(rd(A,ld(A,B)),rd(ld(A,mult(B,C)),C)) -> mult(A,rd(C,C))
% Current number of equations to process: 2799
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [394] mult(A,mult(rd(B,ld(C,mult(ld(A,A),B))),B)) -> mult(mult(A,C),B)
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [395] mult(rd(A,B),rd(C,ld(B,mult(ld(A,A),C)))) -> mult(A,rd(C,C))
% Current number of equations to process: 3220
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [396] ld(rd(mult(A,B),C),mult(A,ld(rd(B,B),C))) -> ld(rd(B,C),C)
% Current number of equations to process: 3388
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [397] ld(A,mult(rd(mult(A,B),C),ld(rd(B,C),C))) <-> ld(rd(B,B),C)
% Current number of equations to process: 3683
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [398] ld(rd(B,B),C) <-> ld(A,mult(rd(mult(A,B),C),ld(rd(B,C),C)))
% Current number of equations to process: 3683
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [399] ld(rd(A,B),mult(rd(A,C),ld(rd(C,C),B))) <-> ld(rd(C,B),B)
% Current number of equations to process: 4244
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [400] ld(rd(C,B),B) <-> ld(rd(A,B),mult(rd(A,C),ld(rd(C,C),B)))
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [401] ld(rd(A,B),mult(rd(A,C),ld(rd(B,C),C))) <-> ld(rd(B,B),C)
% Current number of equations to process: 4813
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [402] ld(rd(B,B),C) <-> ld(rd(A,B),mult(rd(A,C),ld(rd(B,C),C)))
% Current number of equations to process: 4813
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [403] ld(A,mult(rd(mult(A,B),C),ld(rd(C,C),B))) <-> ld(rd(C,B),B)
% Current number of equations to process: 2558
% Current number of ordered equations: 1
% Current number of rules: 332
% New rule produced :
% [404] ld(rd(C,B),B) <-> ld(A,mult(rd(mult(A,B),C),ld(rd(C,C),B)))
% Current number of equations to process: 2558
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [405] ld(rd(C,C),B) <-> ld(rd(mult(A,B),C),mult(A,ld(rd(C,B),B)))
% Current number of equations to process: 3124
% Current number of ordered equations: 1
% Current number of rules: 334
% New rule produced :
% [406] ld(rd(mult(A,B),C),mult(A,ld(rd(C,B),B))) <-> ld(rd(C,C),B)
% Current number of equations to process: 3124
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [407] mult(ld(A,B),ld(rd(ld(A,mult(B,C)),C),C)) -> mult(ld(A,A),C)
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [408]
% mult(mult(mult(A,C),rd(V_3,V_3)),mult(B,V_3)) <->
% mult(mult(mult(A,rd(B,B)),mult(C,B)),V_3)
% Current number of equations to process: 4043
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [409]
% mult(mult(mult(A,rd(B,B)),mult(C,B)),V_3) <->
% mult(mult(mult(A,C),rd(V_3,V_3)),mult(B,V_3))
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [410]
% mult(A,mult(B,mult(ld(B,ld(C,C)),V_3))) <->
% mult(C,mult(ld(C,A),mult(ld(B,B),V_3)))
% Current number of equations to process: 4699
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [411]
% mult(C,mult(ld(C,A),mult(ld(B,B),V_3))) <->
% mult(A,mult(B,mult(ld(B,ld(C,C)),V_3)))
% Current number of equations to process: 4699
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [412]
% mult(A,mult(B,mult(ld(B,ld(A,C)),V_3))) <->
% mult(C,mult(ld(A,A),mult(ld(B,B),V_3)))
% Current number of equations to process: 1890
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [413]
% mult(C,mult(ld(A,A),mult(ld(B,B),V_3))) <->
% mult(A,mult(B,mult(ld(B,ld(A,C)),V_3)))
% Current number of equations to process: 1890
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [414]
% mult(mult(mult(A,rd(C,C)),rd(V_3,B)),B) <->
% mult(mult(mult(A,rd(rd(B,B),C)),C),V_3)
% Current number of equations to process: 2484
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [415]
% mult(mult(mult(A,rd(rd(B,B),C)),C),V_3) <->
% mult(mult(mult(A,rd(C,C)),rd(V_3,B)),B)
% Current number of equations to process: 2484
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [416]
% mult(A,mult(ld(A,mult(B,rd(C,C))),V_3)) <->
% mult(mult(B,rd(mult(ld(A,A),V_3),C)),C)
% Current number of equations to process: 3040
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [417]
% mult(mult(B,rd(mult(ld(A,A),V_3),C)),C) <->
% mult(A,mult(ld(A,mult(B,rd(C,C))),V_3))
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [418]
% mult(mult(mult(A,rd(V_3,V_3)),rd(C,C)),B) <->
% mult(mult(mult(A,rd(rd(B,C),V_3)),V_3),C)
% Current number of equations to process: 3521
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [419]
% mult(mult(mult(A,rd(rd(B,C),V_3)),V_3),C) <->
% mult(mult(mult(A,rd(V_3,V_3)),rd(C,C)),B)
% Current number of equations to process: 3521
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [420]
% mult(A,mult(mult(B,ld(A,ld(A,mult(mult(A,A),C)))),V_3)) <->
% mult(mult(mult(A,B),C),mult(ld(A,A),V_3))
% Current number of equations to process: 4136
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [421]
% mult(mult(mult(A,B),C),mult(ld(A,A),V_3)) <->
% mult(A,mult(mult(B,ld(A,ld(A,mult(mult(A,A),C)))),V_3))
% Current number of equations to process: 4136
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [422]
% mult(mult(mult(A,B),rd(V_3,V_3)),mult(C,V_3)) <->
% mult(mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),C))))),V_3)
% Current number of equations to process: 4577
% Current number of ordered equations: 1
% Current number of rules: 351
% New rule produced :
% [423]
% mult(mult(A,mult(B,ld(A,ld(A,mult(mult(A,A),C))))),V_3) <->
% mult(mult(mult(A,B),rd(V_3,V_3)),mult(C,V_3))
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [424]
% mult(A,ld(B,mult(mult(B,ld(A,C)),V_3))) <->
% mult(C,mult(ld(A,A),ld(B,ld(B,mult(mult(B,B),V_3)))))
% Current number of equations to process: 2042
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [425]
% mult(C,mult(ld(A,A),ld(B,ld(B,mult(mult(B,B),V_3))))) <->
% mult(A,ld(B,mult(mult(B,ld(A,C)),V_3)))
% Current number of equations to process: 2042
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [426]
% mult(A,ld(B,mult(mult(B,ld(C,C)),V_3))) <->
% mult(C,mult(ld(C,A),ld(B,ld(B,mult(mult(B,B),V_3)))))
% Current number of equations to process: 2695
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [427]
% mult(C,mult(ld(C,A),ld(B,ld(B,mult(mult(B,B),V_3))))) <->
% mult(A,ld(B,mult(mult(B,ld(C,C)),V_3)))
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [428]
% mult(mult(A,rd(ld(B,ld(B,mult(mult(B,B),C))),V_3)),V_3) <->
% ld(B,mult(mult(B,mult(A,rd(V_3,V_3))),C))
% Current number of equations to process: 3391
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [429]
% ld(B,mult(mult(B,mult(A,rd(V_3,V_3))),C)) <->
% mult(mult(A,rd(ld(B,ld(B,mult(mult(B,B),C))),V_3)),V_3)
% Current number of equations to process: 3391
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [430]
% ld(A,mult(mult(B,mult(ld(A,A),C)),V_3)) <->
% mult(mult(ld(A,B),C),ld(A,ld(A,mult(mult(A,A),V_3))))
% Current number of equations to process: 3881
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [431]
% mult(mult(ld(A,B),C),ld(A,ld(A,mult(mult(A,A),V_3)))) <->
% ld(A,mult(mult(B,mult(ld(A,A),C)),V_3))
% Current number of equations to process: 3881
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [432]
% mult(C,ld(A,ld(A,mult(mult(A,A),mult(ld(B,B),V_3))))) <->
% ld(A,mult(B,mult(ld(B,mult(A,C)),V_3)))
% Current number of equations to process: 4315
% Current number of ordered equations: 3
% Current number of rules: 361
% New rule produced :
% [433]
% ld(A,mult(mult(B,mult(ld(B,A),C)),V_3)) <->
% mult(mult(ld(B,B),C),ld(A,ld(A,mult(mult(A,A),V_3))))
% Current number of equations to process: 4315
% Current number of ordered equations: 2
% Current number of rules: 362
% New rule produced :
% [434]
% ld(A,mult(B,mult(ld(B,mult(A,C)),V_3))) <->
% mult(C,ld(A,ld(A,mult(mult(A,A),mult(ld(B,B),V_3)))))
% Current number of equations to process: 4315
% Current number of ordered equations: 1
% Current number of rules: 363
% New rule produced :
% [435]
% mult(mult(ld(B,B),C),ld(A,ld(A,mult(mult(A,A),V_3)))) <->
% ld(A,mult(mult(B,mult(ld(B,A),C)),V_3))
% Current number of equations to process: 4315
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [436]
% mult(C,ld(A,ld(A,mult(mult(A,A),ld(B,ld(B,mult(mult(B,B),V_3))))))) <->
% ld(A,ld(B,mult(mult(B,mult(A,C)),V_3)))
% Current number of equations to process: 1336
% Current number of ordered equations: 3
% Current number of rules: 365
% New rule produced :
% [437]
% ld(A,mult(ld(B,mult(mult(B,A),C)),V_3)) <->
% mult(ld(B,ld(B,mult(mult(B,B),C))),ld(A,ld(A,mult(mult(A,A),V_3))))
% Current number of equations to process: 1336
% Current number of ordered equations: 2
% Current number of rules: 366
% New rule produced :
% [438]
% ld(A,ld(B,mult(mult(B,mult(A,C)),V_3))) <->
% mult(C,ld(A,ld(A,mult(mult(A,A),ld(B,ld(B,mult(mult(B,B),V_3)))))))
% Current number of equations to process: 1336
% Current number of ordered equations: 1
% Current number of rules: 367
% New rule produced :
% [439]
% mult(ld(B,ld(B,mult(mult(B,B),C))),ld(A,ld(A,mult(mult(A,A),V_3)))) <->
% ld(A,mult(ld(B,mult(mult(B,A),C)),V_3))
% Current number of equations to process: 1336
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [440]
% mult(ld(A,A),mult(ld(B,ld(B,mult(mult(B,B),ld(B,B)))),ld(C,ld(B,ld(B,
% mult(
% mult(B,B),
% ld(A,
% mult(B,V_3))))))))
% <->
% mult(ld(B,B),mult(ld(B,ld(B,mult(mult(B,B),ld(A,A)))),ld(C,ld(B,ld(B,
% mult(
% mult(B,B),
% ld(A,
% mult(B,V_3))))))))
% Current number of equations to process: 2508
% Current number of ordered equations: 1
% Current number of rules: 369
% New rule produced :
% [441]
% mult(ld(B,B),mult(ld(B,ld(B,mult(mult(B,B),ld(A,A)))),ld(C,ld(B,ld(B,
% mult(
% mult(B,B),
% ld(A,
% mult(B,V_3))))))))
% <->
% mult(ld(A,A),mult(ld(B,ld(B,mult(mult(B,B),ld(B,B)))),ld(C,ld(B,ld(B,
% mult(
% mult(B,B),
% ld(A,
% mult(B,V_3))))))))
% Current number of equations to process: 2508
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [442]
% mult(A,mult(mult(ld(B,B),ld(C,C)),V_3)) <->
% mult(mult(B,C),mult(mult(ld(B,B),ld(C,ld(B,A))),V_3))
% Current number of equations to process: 3018
% Current number of ordered equations: 3
% Current number of rules: 371
% New rule produced :
% [443]
% mult(mult(B,C),mult(mult(ld(B,B),ld(C,ld(B,A))),V_3)) <->
% mult(A,mult(mult(ld(B,B),ld(C,C)),V_3))
% Current number of equations to process: 3018
% Current number of ordered equations: 2
% Current number of rules: 372
% New rule produced :
% [444]
% mult(ld(A,A),mult(ld(A,ld(A,mult(mult(A,A),ld(B,B)))),ld(C,ld(A,ld(A,
% mult(
% mult(A,A),V_3))))))
% <->
% mult(ld(B,B),mult(ld(A,ld(A,mult(mult(A,A),ld(A,A)))),ld(C,ld(A,ld(A,
% mult(
% mult(A,A),V_3))))))
% Rule
% [441]
% mult(ld(B,B),mult(ld(B,ld(B,mult(mult(B,B),ld(A,A)))),ld(C,ld(B,ld(B,
% mult(
% mult(B,B),
% ld(A,
% mult(B,V_3))))))))
% <->
% mult(ld(A,A),mult(ld(B,ld(B,mult(mult(B,B),ld(B,B)))),ld(C,ld(B,ld(B,
% mult(
% mult(B,B),
% ld(A,
% mult(B,V_3))))))))
% collapsed.
% Current number of equations to process: 3018
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [445]
% mult(ld(B,B),mult(ld(A,ld(A,mult(mult(A,A),ld(A,A)))),ld(C,ld(A,ld(A,
% mult(
% mult(A,A)Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------