%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP756-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n136.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:24:30 EDT 2014

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

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP756-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n136.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 01:38:23 CDT 2014
% % CPUTime  : 300.02 
% Processing problem /tmp/CiME_7486_n136.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant;  rd : 2;  mult : 2;  ld : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% mult(A,ld(A,B)) = B;
% ld(A,mult(A,B)) = B;
% mult(rd(A,B),B) = A;
% rd(mult(A,B),B) = A;
% mult(A,mult(mult(B,B),C)) = mult(mult(A,B),mult(B,C));
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
% 
% let p1 = precedence F "
% ld > mult > rd > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% rd mul;
% mult mul;
% ld mul;
% ";
% 
% let p2 = precedence F "
% ld > mult > rd > a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " mult(mult(a,b),c) = mult(a,mult(b,c));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% mult(rd(A,B),B) = A,
% rd(mult(A,B),B) = A,
% mult(A,mult(mult(B,B),C)) =
% mult(mult(A,B),mult(B,C)) } (5 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { mult(mult(a,b),c) = mult(a,mult(b,c)) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 5
% 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: 4
% 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: 3
% 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: 2
% Current number of rules: 4
% New rule produced :
% [5] mult(A,mult(mult(B,B),C)) <-> mult(mult(A,B),mult(B,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),mult(B,C)) <-> mult(A,mult(mult(B,B),C))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 6
% New rule produced : [7] rd(A,ld(B,A)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced : [8] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] ld(A,mult(mult(A,B),mult(B,C))) -> mult(mult(B,B),C)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] mult(mult(B,B),ld(B,C)) <-> ld(A,mult(mult(A,B),C))
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced : [11] ld(A,mult(mult(A,B),C)) <-> mult(mult(B,B),ld(B,C))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] ld(rd(A,B),mult(A,C)) -> mult(mult(B,B),ld(B,C))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] ld(rd(rd(A,B),C),A) -> mult(mult(C,C),ld(C,B))
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14] mult(A,mult(mult(B,B),ld(B,C))) <-> mult(mult(A,B),C)
% Current number of equations to process: 51
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [15] mult(mult(A,B),C) <-> mult(A,mult(mult(B,B),ld(B,C)))
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] mult(rd(A,B),mult(mult(B,B),C)) -> mult(A,mult(B,C))
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17] mult(A,ld(B,mult(mult(B,C),V_3))) <-> mult(mult(A,C),V_3)
% Current number of equations to process: 98
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [18] mult(mult(A,C),V_3) <-> mult(A,ld(B,mult(mult(B,C),V_3)))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19] mult(A,ld(B,mult(C,V_3))) <-> mult(mult(A,ld(B,C)),V_3)
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [20] mult(mult(A,ld(B,C)),V_3) <-> mult(A,ld(B,mult(C,V_3)))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21] ld(A,mult(mult(A,B),C)) <-> ld(V_3,mult(mult(V_3,B),C))
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [22] mult(mult(A,ld(C,C)),B) -> mult(A,B)
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [23] mult(A,ld(B,B)) -> A
% Rule [22] mult(mult(A,ld(C,C)),B) -> mult(A,B) collapsed.
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] ld(B,B) <-> ld(A,A)
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [25] rd(A,ld(B,B)) -> A
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [26] mult(mult(A,B),B) -> mult(A,mult(B,B))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [27] mult(rd(A,B),mult(B,B)) -> mult(A,B)
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [28] rd(mult(A,mult(B,B)),B) -> mult(A,B)
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [29] rd(mult(A,B),mult(B,B)) -> rd(A,B)
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [30] mult(mult(A,A),ld(A,ld(B,B))) -> A
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [31] mult(mult(A,ld(mult(B,C),B)),C) -> A
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [32] ld(mult(A,B),mult(A,mult(B,B))) -> B
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [33] mult(rd(A,mult(B,B)),B) -> rd(A,B)
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [34] rd(A,mult(B,B)) <-> rd(rd(A,B),B)
% Current number of equations to process: 282
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced : [35] rd(rd(A,B),B) <-> rd(A,mult(B,B))
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [36] ld(A,ld(B,B)) <-> ld(mult(A,A),A)
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 35
% Rule [36] ld(A,ld(B,B)) <-> ld(mult(A,A),A) is composed into [36]
% ld(A,ld(B,B))
% <->
% ld(A,ld(c,c))
% New rule produced : [37] ld(mult(A,A),A) <-> ld(A,ld(B,B))
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [38] rd(A,ld(A,ld(B,B))) -> mult(A,A)
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [39] mult(A,ld(mult(C,B),C)) -> rd(A,B)
% Rule [31] mult(mult(A,ld(mult(B,C),B)),C) -> A collapsed.
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [40] rd(A,ld(mult(C,B),C)) <-> mult(A,B)
% Current number of equations to process: 314
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced : [41] mult(A,B) <-> rd(A,ld(mult(C,B),C))
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [42] mult(mult(A,ld(B,C)),ld(C,B)) -> A
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [43] mult(mult(A,ld(B,rd(B,C))),C) -> A
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [44] ld(rd(A,mult(B,B)),rd(A,B)) -> B
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [45] ld(A,A) <-> ld(ld(B,B),ld(c,c))
% Current number of equations to process: 362
% Current number of ordered equations: 1
% Current number of rules: 43
% Rule [45] ld(A,A) <-> ld(ld(B,B),ld(c,c)) is composed into [45]
% ld(A,A) <->
% ld(c,c)
% New rule produced : [46] ld(ld(B,B),ld(c,c)) <-> ld(A,A)
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [47] ld(ld(A,A),ld(B,B)) -> ld(A,A)
% Rule [46] ld(ld(B,B),ld(c,c)) <-> ld(A,A) collapsed.
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [48] rd(ld(A,A),ld(B,ld(c,c))) -> B
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [49] ld(rd(ld(B,B),A),ld(c,c)) -> A
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [50] rd(A,ld(C,B)) <-> mult(A,ld(B,C))
% Current number of equations to process: 380
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [51] mult(A,ld(B,C)) <-> rd(A,ld(C,B))
% Rule [23] mult(A,ld(B,B)) -> A collapsed.
% Rule [39] mult(A,ld(mult(C,B),C)) -> rd(A,B) collapsed.
% Rule [42] mult(mult(A,ld(B,C)),ld(C,B)) -> A collapsed.
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [52] ld(A,rd(A,B)) <-> ld(mult(C,B),C)
% Current number of equations to process: 379
% Current number of ordered equations: 1
% Current number of rules: 46
% Rule [52] ld(A,rd(A,B)) <-> ld(mult(C,B),C) is composed into [52]
% ld(A,rd(A,B))
% <->
% ld(c,rd(c,B))
% Rule [41] mult(A,B) <-> rd(A,ld(mult(C,B),C)) is composed into [41]
% mult(A,B) <->
% rd(A,ld(c,
% rd(c,B)))
% New rule produced : [53] ld(mult(C,B),C) <-> ld(A,rd(A,B))
% Rule [37] ld(mult(A,A),A) <-> ld(A,ld(B,B)) collapsed.
% Rule [40] rd(A,ld(mult(C,B),C)) <-> mult(A,B) collapsed.
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [54] ld(A,ld(B,B)) <-> ld(A,rd(A,A))
% Current number of equations to process: 380
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced : [55] ld(A,rd(A,A)) <-> ld(A,ld(B,B))
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [56] rd(A,ld(B,ld(C,C))) <-> mult(A,B)
% Rule [38] rd(A,ld(A,ld(B,B))) -> mult(A,A) collapsed.
% Current number of equations to process: 378
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [57] mult(A,B) <-> rd(A,ld(B,ld(C,C)))
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [58] mult(A,ld(B,rd(B,C))) -> rd(A,C)
% Rule [43] mult(mult(A,ld(B,rd(B,C))),C) -> A collapsed.
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [59] rd(rd(A,B),ld(c,rd(c,B))) -> A
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [60] rd(rd(A,ld(c,rd(c,C))),C) -> A
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [61] rd(B,ld(c,rd(c,ld(B,A)))) -> A
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [62] ld(A,rd(A,ld(c,rd(c,B)))) -> B
% Current number of equations to process: 383
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [63] mult(mult(A,mult(B,B)),B) -> mult(mult(A,B),mult(B,B))
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 53
% Rule [63] mult(mult(A,mult(B,B)),B) -> mult(mult(A,B),mult(B,B)) is composed into 
% [63] mult(mult(A,mult(B,B)),B) -> mult(A,mult(B,mult(B,B)))
% New rule produced :
% [64] mult(mult(A,B),mult(B,B)) -> mult(A,mult(B,mult(B,B)))
% Current number of equations to process: 431
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [65] rd(ld(A,A),ld(B,ld(C,C))) -> B
% Rule [48] rd(ld(A,A),ld(B,ld(c,c))) -> B collapsed.
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [66] ld(A,rd(A,ld(B,C))) <-> ld(C,B)
% Current number of equations to process: 439
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced : [67] ld(C,B) <-> ld(A,rd(A,ld(B,C)))
% Rule [8] ld(rd(A,B),A) -> B collapsed.
% Rule [13] ld(rd(rd(A,B),C),A) -> mult(mult(C,C),ld(C,B)) collapsed.
% Rule [44] ld(rd(A,mult(B,B)),rd(A,B)) -> B collapsed.
% Rule [53] ld(mult(C,B),C) <-> ld(A,rd(A,B)) collapsed.
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [68] ld(A,rd(A,ld(A,rd(A,B)))) -> B
% Current number of equations to process: 442
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [69] rd(A,A) <-> ld(B,B)
% Rule [55] ld(A,rd(A,A)) <-> ld(A,ld(B,B)) collapsed.
% Current number of equations to process: 504
% Current number of ordered equations: 1
% Current number of rules: 53
% Rule [69] rd(A,A) <-> ld(B,B) is composed into [69] rd(A,A) <-> rd(c,c)
% Rule [57] mult(A,B) <-> rd(A,ld(B,ld(C,C))) is composed into [57]
% mult(A,B) <->
% rd(A,ld(B,
% rd(c,c)))
% New rule produced : [70] ld(B,B) <-> rd(A,A)
% Rule [24] ld(B,B) <-> ld(A,A) collapsed.
% Rule [25] rd(A,ld(B,B)) -> A collapsed.
% Rule [30] mult(mult(A,A),ld(A,ld(B,B))) -> A collapsed.
% Rule [36] ld(A,ld(B,B)) <-> ld(A,ld(c,c)) collapsed.
% Rule [45] ld(A,A) <-> ld(c,c) collapsed.
% Rule [47] ld(ld(A,A),ld(B,B)) -> ld(A,A) collapsed.
% Rule [49] ld(rd(ld(B,B),A),ld(c,c)) -> A collapsed.
% Rule [54] ld(A,ld(B,B)) <-> ld(A,rd(A,A)) collapsed.
% Rule [56] rd(A,ld(B,ld(C,C))) <-> mult(A,B) collapsed.
% Rule [65] rd(ld(A,A),ld(B,ld(C,C))) -> B collapsed.
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [71] rd(A,rd(c,c)) -> A
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [72] ld(rd(A,A),rd(c,c)) -> rd(A,A)
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [73] mult(mult(A,A),ld(A,rd(c,c))) -> A
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [74] rd(rd(A,A),ld(B,rd(c,c))) -> B
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [75] ld(A,rd(A,ld(rd(c,c),rd(rd(A,A),B)))) -> B
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [76] rd(mult(A,A),ld(rd(c,c),A)) -> A
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [77] rd(rd(A,ld(B,C)),ld(C,B)) -> A
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [78] rd(rd(A,ld(B,rd(c,c))),B) -> A
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [79] rd(rd(A,B),ld(B,rd(c,c))) -> A
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [80] ld(A,rd(A,ld(B,rd(c,c)))) -> B
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [81] ld(A,rd(A,B)) <-> ld(C,rd(C,B))
% Rule [52] ld(A,rd(A,B)) <-> ld(c,rd(c,B)) collapsed.
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [82] rd(rd(A,B),ld(C,rd(C,B))) -> A
% Rule [59] rd(rd(A,B),ld(c,rd(c,B))) -> A collapsed.
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [83] rd(rd(A,ld(B,rd(B,C))),C) -> A
% Rule [60] rd(rd(A,ld(c,rd(c,C))),C) -> A collapsed.
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [84] ld(mult(A,A),mult(A,B)) -> ld(A,mult(rd(c,c),B))
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [85] rd(rd(A,mult(B,B)),B) -> rd(rd(A,B),mult(B,B))
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [86] ld(A,rd(mult(A,B),C)) <-> ld(V_3,rd(mult(V_3,B),C))
% Current number of equations to process: 597
% Current number of ordered equations: 2
% Current number of rules: 57
% New rule produced : [87] ld(A,mult(rd(A,B),C)) <-> ld(V_3,mult(rd(V_3,B),C))
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [88] rd(mult(B,B),ld(C,B)) <-> ld(A,mult(mult(A,B),C))
% Rule [76] rd(mult(A,A),ld(rd(c,c),A)) -> A collapsed.
% Current number of equations to process: 596
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced : [89] ld(c,mult(mult(c,A),rd(c,c))) -> A
% Current number of equations to process: 595
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced : [90] ld(A,mult(mult(A,B),C)) <-> rd(mult(B,B),ld(C,B))
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [91] rd(A,ld(mult(C,V_3),B)) <-> mult(mult(A,ld(B,C)),V_3)
% Current number of equations to process: 594
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [92] mult(mult(A,ld(B,C)),V_3) <-> rd(A,ld(mult(C,V_3),B))
% Current number of equations to process: 594
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [93] mult(A,ld(C,mult(B,V_3))) <-> mult(rd(A,ld(B,C)),V_3)
% Current number of equations to process: 593
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [94] mult(rd(A,ld(B,C)),V_3) <-> mult(A,ld(C,mult(B,V_3)))
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [95] mult(mult(A,B),rd(B,C)) -> mult(A,rd(mult(B,B),C))
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [96] ld(A,rd(A,mult(B,B))) <-> ld(c,rd(rd(c,B),B))
% Current number of equations to process: 590
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced : [97] ld(c,rd(rd(c,B),B)) <-> ld(A,rd(A,mult(B,B)))
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [98] ld(A,rd(rd(A,B),B)) <-> ld(c,rd(rd(c,B),B))
% Current number of equations to process: 589
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced : [99] ld(c,rd(rd(c,B),B)) <-> ld(A,rd(rd(A,B),B))
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [100] rd(A,ld(c,rd(c,B))) <-> rd(A,ld(B,rd(c,c)))
% Current number of equations to process: 587
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced : [101] rd(A,ld(B,rd(c,c))) <-> rd(A,ld(c,rd(c,B)))
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [102] mult(A,ld(B,rd(C,V_3))) -> rd(mult(A,ld(B,C)),V_3)
% Rule [58] mult(A,ld(B,rd(B,C))) -> rd(A,C) collapsed.
% Rule [73] mult(mult(A,A),ld(A,rd(c,c))) -> A collapsed.
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [103] rd(mult(A,rd(c,c)),C) -> rd(A,C)
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [104] rd(mult(mult(A,A),ld(A,c)),c) -> A
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [105] rd(A,ld(B,rd(B,ld(A,C)))) -> C
% Rule [61] rd(B,ld(c,rd(c,ld(B,A)))) -> A collapsed.
% Current number of equations to process: 654
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [106] ld(B,rd(B,ld(A,rd(A,A)))) -> A
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [107] ld(A,rd(A,ld(B,rd(B,C)))) -> C
% Rule [62] ld(A,rd(A,ld(c,rd(c,B)))) -> B collapsed.
% Rule [68] ld(A,rd(A,ld(A,rd(A,B)))) -> B collapsed.
% Rule [106] ld(B,rd(B,ld(A,rd(A,A)))) -> A collapsed.
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 71
% Rule [84] ld(mult(A,A),mult(A,B)) -> ld(A,mult(rd(c,c),B)) is composed into 
% [84] ld(mult(A,A),mult(A,B)) -> ld(A,B)
% New rule produced : [108] mult(rd(c,c),A) -> A
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 72
% Rule [15] mult(mult(A,B),C) <-> mult(A,mult(mult(B,B),ld(B,C))) is composed into 
% [15] mult(mult(A,B),C) <-> mult(A,mult(B,mult(B,ld(B,C))))
% Rule [12] ld(rd(A,B),mult(A,C)) -> mult(mult(B,B),ld(B,C)) is composed into 
% [12] ld(rd(A,B),mult(A,C)) -> mult(B,mult(B,ld(B,C)))
% Rule [11] ld(A,mult(mult(A,B),C)) <-> mult(mult(B,B),ld(B,C)) is composed into 
% [11] ld(A,mult(mult(A,B),C)) <-> mult(B,mult(B,ld(B,C)))
% Rule [9] ld(A,mult(mult(A,B),mult(B,C))) -> mult(mult(B,B),C) is composed into 
% [9] ld(A,mult(mult(A,B),mult(B,C))) -> mult(B,mult(B,C))
% Rule [6] mult(mult(A,B),mult(B,C)) <-> mult(A,mult(mult(B,B),C)) is composed into 
% [6] mult(mult(A,B),mult(B,C)) -> mult(A,mult(B,mult(B,C)))
% New rule produced : [109] mult(mult(A,A),B) -> mult(A,mult(A,B))
% Rule [5] mult(A,mult(mult(B,B),C)) <-> mult(mult(A,B),mult(B,C)) collapsed.
% Rule [10] mult(mult(B,B),ld(B,C)) <-> ld(A,mult(mult(A,B),C)) collapsed.
% Rule [14] mult(A,mult(mult(B,B),ld(B,C))) <-> mult(mult(A,B),C) collapsed.
% Rule [16] mult(rd(A,B),mult(mult(B,B),C)) -> mult(A,mult(B,C)) collapsed.
% Rule [104] rd(mult(mult(A,A),ld(A,c)),c) -> A collapsed.
% Current number of equations to process: 663
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [110] mult(A,rd(B,B)) -> A
% Rule [89] ld(c,mult(mult(c,A),rd(c,c))) -> A collapsed.
% Rule [103] rd(mult(A,rd(c,c)),C) -> rd(A,C) collapsed.
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [111] rd(A,rd(B,B)) -> A
% Rule [71] rd(A,rd(c,c)) -> A collapsed.
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [112] rd(B,B) <-> rd(A,A)
% Rule [69] rd(A,A) <-> rd(c,c) collapsed.
% Current number of equations to process: 664
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [113] mult(A,ld(rd(C,C),B)) -> mult(A,B)
% Current number of equations to process: 664
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [114] rd(A,A) <-> ld(rd(c,c),rd(B,B))
% Current number of equations to process: 667
% Current number of ordered equations: 1
% Current number of rules: 69
% Rule [114] rd(A,A) <-> ld(rd(c,c),rd(B,B)) is composed into [114]
% rd(A,A) <->
% rd(c,c)
% New rule produced : [115] ld(rd(c,c),rd(B,B)) <-> rd(A,A)
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 70
% Rule [88] rd(mult(B,B),ld(C,B)) <-> ld(A,mult(mult(A,B),C)) is composed into 
% [88] rd(mult(B,B),ld(C,B)) -> mult(B,C)
% Rule [18] mult(mult(A,C),V_3) <-> mult(A,ld(B,mult(mult(B,C),V_3))) is composed into 
% [18] mult(mult(A,C),V_3) -> mult(A,mult(C,V_3))
% New rule produced : [116] ld(A,mult(mult(A,B),C)) -> mult(B,C)
% Rule [9] ld(A,mult(mult(A,B),mult(B,C))) -> mult(B,mult(B,C)) collapsed.
% Rule [11] ld(A,mult(mult(A,B),C)) <-> mult(B,mult(B,ld(B,C))) collapsed.
% Rule [17] mult(A,ld(B,mult(mult(B,C),V_3))) <-> mult(mult(A,C),V_3)
% collapsed.
% Rule [21] ld(A,mult(mult(A,B),C)) <-> ld(V_3,mult(mult(V_3,B),C)) collapsed.
% Rule [90] ld(A,mult(mult(A,B),C)) <-> rd(mult(B,B),ld(C,B)) collapsed.
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [117] mult(rd(A,A),B) -> B
% Rule [108] mult(rd(c,c),A) -> A collapsed.
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [118] rd(A,ld(rd(c,c),B)) -> rd(A,B)
% Rule [75] ld(A,rd(A,ld(rd(c,c),rd(rd(A,A),B)))) -> B collapsed.
% Current number of equations to process: 689
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [119] ld(A,rd(A,rd(rd(A,A),B))) -> B
% Current number of equations to process: 688
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [120] rd(mult(A,ld(B,c)),c) -> rd(A,B)
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [121] ld(rd(c,c),A) -> A
% Rule [115] ld(rd(c,c),rd(B,B)) <-> rd(A,A) collapsed.
% Rule [118] rd(A,ld(rd(c,c),B)) -> rd(A,B) collapsed.
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [122] ld(rd(A,A),B) -> B
% Rule [72] ld(rd(A,A),rd(c,c)) -> rd(A,A) collapsed.
% Rule [113] mult(A,ld(rd(C,C),B)) -> mult(A,B) collapsed.
% Rule [121] ld(rd(c,c),A) -> A collapsed.
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [123] rd(A,ld(B,rd(B,C))) <-> mult(A,C)
% Rule [105] rd(A,ld(B,rd(B,ld(A,C)))) -> C collapsed.
% Current number of equations to process: 701
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced : [124] mult(A,C) <-> rd(A,ld(B,rd(B,C)))
% Rule [41] mult(A,B) <-> rd(A,ld(c,rd(c,B))) collapsed.
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [125] rd(rd(A,A),ld(B,rd(B,c))) -> c
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [126] ld(ld(B,A),C) -> mult(ld(A,B),C)
% Current number of equations to process: 724
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [127] ld(mult(A,A),B) -> ld(A,ld(A,B))
% Rule [84] ld(mult(A,A),mult(A,B)) -> ld(A,B) collapsed.
% Current number of equations to process: 724
% Current number of ordered equations: 0
% Current number of rules: 67
% Rule [127] ld(mult(A,A),B) -> ld(A,ld(A,B)) is composed into [127]
% ld(mult(A,A),B)
% ->
% mult(ld(A,
% rd(c,c)),
% ld(A,B))
% Rule [94] mult(rd(A,ld(B,C)),V_3) <-> mult(A,ld(C,mult(B,V_3))) is composed into 
% [94] mult(rd(A,ld(B,C)),V_3) <-> mult(A,mult(ld(C,rd(c,c)),mult(B,V_3)))
% Rule [67] ld(C,B) <-> ld(A,rd(A,ld(B,C))) is composed into [67]
% ld(C,B) <->
% mult(ld(A,rd(c,c)),
% rd(A,ld(B,C)))
% Rule [20] mult(mult(A,ld(B,C)),V_3) <-> mult(A,ld(B,mult(C,V_3))) is composed into 
% [20] mult(mult(A,ld(B,C)),V_3) <-> mult(A,mult(ld(B,rd(c,c)),mult(C,V_3)))
% New rule produced : [128] ld(A,C) <-> mult(ld(A,rd(c,c)),C)
% Rule [4] ld(A,mult(A,B)) -> B collapsed.
% Rule [12] ld(rd(A,B),mult(A,C)) -> mult(B,mult(B,ld(B,C))) collapsed.
% Rule [19] mult(A,ld(B,mult(C,V_3))) <-> mult(mult(A,ld(B,C)),V_3) collapsed.
% Rule [32] ld(mult(A,B),mult(A,mult(B,B))) -> B collapsed.
% Rule [66] ld(A,rd(A,ld(B,C))) <-> ld(C,B) collapsed.
% Rule [80] ld(A,rd(A,ld(B,rd(c,c)))) -> B collapsed.
% Rule [86] ld(A,rd(mult(A,B),C)) <-> ld(V_3,rd(mult(V_3,B),C)) collapsed.
% Rule [87] ld(A,mult(rd(A,B),C)) <-> ld(V_3,mult(rd(V_3,B),C)) collapsed.
% Rule [93] mult(A,ld(C,mult(B,V_3))) <-> mult(rd(A,ld(B,C)),V_3) collapsed.
% Rule [96] ld(A,rd(A,mult(B,B))) <-> ld(c,rd(rd(c,B),B)) collapsed.
% Rule [97] ld(c,rd(rd(c,B),B)) <-> ld(A,rd(A,mult(B,B))) collapsed.
% Rule [98] ld(A,rd(rd(A,B),B)) <-> ld(c,rd(rd(c,B),B)) collapsed.
% Rule [99] ld(c,rd(rd(c,B),B)) <-> ld(A,rd(rd(A,B),B)) collapsed.
% Rule [107] ld(A,rd(A,ld(B,rd(B,C)))) -> C collapsed.
% Rule [116] ld(A,mult(mult(A,B),C)) -> mult(B,C) collapsed.
% Rule [119] ld(A,rd(A,rd(rd(A,A),B))) -> B collapsed.
% Current number of equations to process: 740
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [129] mult(ld(A,rd(c,c)),mult(A,B)) -> B
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [130] mult(ld(B,rd(c,c)),C) <-> mult(ld(A,rd(c,c)),mult(rd(A,B),C))
% Current number of equations to process: 738
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [131] mult(ld(A,rd(c,c)),mult(rd(A,B),C)) <-> mult(ld(B,rd(c,c)),C)
% Current number of equations to process: 738
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [132]
% mult(ld(A,rd(c,c)),rd(rd(A,B),B)) <-> mult(ld(C,rd(c,c)),rd(C,mult(B,B)))
% Current number of equations to process: 737
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [133]
% mult(ld(C,rd(c,c)),rd(C,mult(B,B))) <-> mult(ld(A,rd(c,c)),rd(rd(A,B),B))
% Current number of equations to process: 737
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [134] mult(ld(V_3,rd(V_3,B)),C) <-> mult(ld(A,rd(c,c)),mult(rd(A,B),C))
% Current number of equations to process: 736
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [135] mult(ld(A,rd(c,c)),mult(rd(A,B),C)) <-> mult(ld(V_3,rd(V_3,B)),C)
% Current number of equations to process: 736
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [136] rd(A,ld(B,rd(B,C))) <-> rd(A,ld(C,rd(c,c)))
% Rule [100] rd(A,ld(c,rd(c,B))) <-> rd(A,ld(B,rd(c,c))) collapsed.
% Current number of equations to process: 735
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced : [137] rd(A,ld(C,rd(c,c))) <-> rd(A,ld(B,rd(B,C)))
% Rule [101] rd(A,ld(B,rd(c,c))) <-> rd(A,ld(c,rd(c,B))) collapsed.
% Current number of equations to process: 735
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [138] rd(mult(A,B),ld(A,B)) -> mult(A,A)
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [139] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B)
% Current number of equations to process: 756
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [140] rd(A,ld(mult(B,C),V_3)) <-> mult(A,mult(ld(V_3,B),C))
% Current number of equations to process: 778
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [141] mult(A,mult(ld(V_3,B),C)) <-> rd(A,ld(mult(B,C),V_3))
% Current number of equations to process: 778
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [142] rd(A,ld(mult(B,V_3),C)) <-> mult(rd(A,ld(B,C)),V_3)
% Current number of equations to process: 777
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced : [143] mult(rd(A,ld(B,C)),V_3) <-> rd(A,ld(mult(B,V_3),C))
% Current number of equations to process: 777
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [144] mult(rd(A,C),mult(C,B)) -> mult(A,B)
% Rule [27] mult(rd(A,B),mult(B,B)) -> mult(A,B) collapsed.
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [145] mult(A,mult(B,rd(B,C))) -> mult(A,rd(mult(B,B),C))
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [146] rd(A,ld(rd(B,C),V_3)) <-> rd(mult(A,ld(V_3,B)),C)
% Current number of equations to process: 848
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced : [147] rd(mult(A,ld(V_3,B)),C) <-> rd(A,ld(rd(B,C),V_3))
% Current number of equations to process: 848
% Current number of ordered equations: 0
% Current number of rules: 68
% Rule [136] rd(A,ld(B,rd(B,C))) <-> rd(A,ld(C,rd(c,c))) is composed into 
% [136] rd(A,ld(B,rd(B,C))) -> rd(A,rd(rd(c,c),C))
% Rule [134] mult(ld(V_3,rd(V_3,B)),C) <-> mult(ld(A,rd(c,c)),mult(rd(A,B),C)) is composed into 
% [134] mult(ld(V_3,rd(V_3,B)),C) <-> mult(rd(rd(A,A),A),mult(rd(A,B),C))
% Rule [128] ld(A,C) <-> mult(ld(A,rd(c,c)),C) is composed into [128]
% ld(A,C) ->
% mult(rd(
% rd(A,A),A),C)
% Rule [127] ld(mult(A,A),B) -> mult(ld(A,rd(c,c)),ld(A,B)) is composed into 
% [127] ld(mult(A,A),B) -> mult(rd(rd(A,A),A),ld(A,B))
% Rule [94] mult(rd(A,ld(B,C)),V_3) <-> mult(A,mult(ld(C,rd(c,c)),mult(B,V_3))) is composed into 
% [94] mult(rd(A,ld(B,C)),V_3) -> mult(A,mult(rd(rd(c,c),C),mult(B,V_3)))
% Rule [67] ld(C,B) <-> mult(ld(A,rd(c,c)),rd(A,ld(B,C))) is composed into 
% [67] ld(C,B) <-> mult(rd(rd(A,A),A),rd(A,ld(B,C)))
% Rule [57] mult(A,B) <-> rd(A,ld(B,rd(c,c))) is composed into [57]
% mult(A,B) ->
% rd(A,rd(
% rd(c,c),B))
% Rule [20]
% mult(mult(A,ld(B,C)),V_3) <-> mult(A,mult(ld(B,rd(c,c)),mult(C,V_3))) is composed into 
% [20] mult(mult(A,ld(B,C)),V_3) -> mult(A,mult(rd(rd(c,c),B),mult(C,V_3)))
% New rule produced : [148] ld(B,rd(c,c)) <-> rd(rd(A,A),B)
% Rule [74] rd(rd(A,A),ld(B,rd(c,c))) -> B collapsed.
% Rule [78] rd(rd(A,ld(B,rd(c,c))),B) -> A collapsed.
% Rule [79] rd(rd(A,B),ld(B,rd(c,c))) -> A collapsed.
% Rule [129] mult(ld(A,rd(c,c)),mult(A,B)) -> B collapsed.
% Rule [130] mult(ld(B,rd(c,c)),C) <-> mult(ld(A,rd(c,c)),mult(rd(A,B),C))
% collapsed.
% Rule [131] mult(ld(A,rd(c,c)),mult(rd(A,B),C)) <-> mult(ld(B,rd(c,c)),C)
% collapsed.
% Rule
% [132]
% mult(ld(A,rd(c,c)),rd(rd(A,B),B)) <-> mult(ld(C,rd(c,c)),rd(C,mult(B,B)))
% collapsed.
% Rule
% [133]
% mult(ld(C,rd(c,c)),rd(C,mult(B,B))) <-> mult(ld(A,rd(c,c)),rd(rd(A,B),B))
% collapsed.
% Rule [135] mult(ld(A,rd(c,c)),mult(rd(A,B),C)) <-> mult(ld(V_3,rd(V_3,B)),C)
% collapsed.
% Rule [137] rd(A,ld(C,rd(c,c))) <-> rd(A,ld(B,rd(B,C))) collapsed.
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [149] rd(rd(rd(A,A),A),rd(rd(c,c),rd(A,rd(rd(c,c),B)))) -> B
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [150] rd(rd(rd(C,C),C),rd(rd(c,c),rd(C,A))) <-> rd(rd(A,A),A)
% Current number of equations to process: 911
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [151] rd(rd(A,A),A) <-> rd(rd(rd(C,C),C),rd(rd(c,c),rd(C,A)))
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 62
% Rule [151] rd(rd(A,A),A) <-> rd(rd(rd(C,C),C),rd(rd(c,c),rd(C,A))) is composed into 
% [151] rd(rd(A,A),A) <-> rd(rd(c,c),A)
% New rule produced :
% [152] rd(rd(rd(C,C),C),rd(rd(c,c),rd(C,B))) <-> rd(rd(A,A),B)
% Rule [149] rd(rd(rd(A,A),A),rd(rd(c,c),rd(A,rd(rd(c,c),B)))) -> B collapsed.
% Rule [150] rd(rd(rd(C,C),C),rd(rd(c,c),rd(C,A))) <-> rd(rd(A,A),A) collapsed.
% Current number of equations to process: 910
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [153] rd(rd(A,A),rd(rd(c,c),B)) -> B
% Current number of equations to process: 908
% Current number of ordered equations: 2
% Current number of rules: 62
% New rule produced :
% [154]
% rd(rd(rd(C,C),C),rd(rd(c,c),B)) <->
% rd(rd(A,A),rd(rd(rd(B,B),B),rd(rd(c,c),C)))
% Current number of equations to process: 908
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [155]
% rd(rd(A,A),rd(rd(rd(B,B),B),rd(rd(c,c),C))) <->
% rd(rd(rd(C,C),C),rd(rd(c,c),B))
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [156] rd(rd(A,rd(rd(c,c),B)),B) -> A
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [157] rd(rd(A,B),rd(rd(c,c),B)) -> A
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [158] rd(rd(A,A),rd(rd(B,B),B)) -> B
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [159] rd(rd(A,rd(rd(B,B),B)),B) -> A
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [160] rd(rd(A,B),rd(rd(B,B),B)) -> A
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [161] rd(rd(c,c),rd(rd(A,A),B)) -> B
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [162]
% rd(A,rd(rd(c,c),rd(A,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B)))))) <->
% rd(rd(A,rd(rd(c,c),A)),rd(rd(rd(B,B),B),rd(rd(c,c),C)))
% Current number of equations to process: 911
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [163]
% rd(rd(A,rd(rd(c,c),A)),rd(rd(rd(B,B),B),rd(rd(c,c),C))) <->
% rd(A,rd(rd(c,c),rd(A,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B))))))
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [164]
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))),C) <->
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),V_3)))),V_3)
% Current number of equations to process: 910
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [165] rd(rd(A,A),rd(rd(B,B),C)) -> C
% Rule [153] rd(rd(A,A),rd(rd(c,c),B)) -> B collapsed.
% Rule [158] rd(rd(A,A),rd(rd(B,B),B)) -> B collapsed.
% Rule [161] rd(rd(c,c),rd(rd(A,A),B)) -> B collapsed.
% Current number of equations to process: 951
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [166] rd(rd(A,rd(rd(B,B),C)),C) -> A
% Rule [156] rd(rd(A,rd(rd(c,c),B)),B) -> A collapsed.
% Rule [159] rd(rd(A,rd(rd(B,B),B)),B) -> A collapsed.
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [167] rd(rd(A,B),rd(rd(C,C),B)) -> A
% Rule [157] rd(rd(A,B),rd(rd(c,c),B)) -> A collapsed.
% Rule [160] rd(rd(A,B),rd(rd(B,B),B)) -> A collapsed.
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [168]
% rd(rd(A,rd(rd(c,c),B)),rd(rd(c,c),C)) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),C))))
% Current number of equations to process: 1059
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [169]
% rd(rd(A,B),rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),C)))))) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),C))))
% Current number of equations to process: 1065
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [170]
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))))))
% -> rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),C))))
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [171]
% rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(rd(A,A),A),
% rd(rd(c,c),C))))))))
% <-> rd(rd(rd(A,A),rd(A,B)),rd(rd(c,c),C))
% Current number of equations to process: 1141
% Current number of ordered equations: 3
% Current number of rules: 73
% New rule produced :
% [172]
% rd(A,rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))))) <->
% rd(rd(A,C),B)
% Current number of equations to process: 1141
% Current number of ordered equations: 2
% Current number of rules: 74
% New rule produced :
% [173]
% rd(rd(A,C),B) <->
% rd(A,rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))))))
% Rule [83] rd(rd(A,ld(B,rd(B,C))),C) -> A collapsed.
% Rule [85] rd(rd(A,mult(B,B)),B) -> rd(rd(A,B),mult(B,B)) collapsed.
% Current number of equations to process: 1143
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [174]
% rd(rd(rd(A,A),rd(A,B)),rd(rd(c,c),C)) <->
% rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(rd(A,A),A),
% rd(rd(c,c),C))))))))
% Current number of equations to process: 1143
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [175]
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(c,c),rd(B,rd(rd(c,c),B))),rd(
% rd(c,c),C))))))
% <-> rd(rd(A,B),rd(rd(c,c),C))
% Current number of equations to process: 1319
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [176]
% rd(rd(A,B),rd(rd(c,c),C)) <->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(c,c),rd(B,rd(rd(c,c),B))),rd(
% rd(c,c),C))))))
% Current number of equations to process: 1319
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [177]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) <->
% rd(A,rd(rd(c,c),rd(V_3,rd(rd(c,c),rd(rd(rd(c,c),rd(B,rd(rd(c,c),V_3))),
% rd(rd(c,c),C))))))
% Current number of equations to process: 1419
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [178]
% rd(A,rd(rd(c,c),rd(V_3,rd(rd(c,c),rd(rd(rd(c,c),rd(B,rd(rd(c,c),V_3))),
% rd(rd(c,c),C)))))) <->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [179]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(V_3,rd(rd(c,c),rd(rd(rd(V_3,V_3),V_3),
% rd(rd(c,c),C))))))))
% -> rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))
% Current number of equations to process: 1531
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [180]
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(C,rd(rd(c,c),V_3)))))),V_3)
% -> rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))
% Current number of equations to process: 1581
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [181]
% rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),
% rd(rd(c,c),A))))))))
% -> rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),A))))
% Current number of equations to process: 1634
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [182]
% rd(rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),B)))))),B) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),B))))
% Current number of equations to process: 1673
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [183]
% rd(A,rd(rd(rd(B,B),B),rd(rd(c,c),rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(
% rd(c,c),A)))))))
% -> rd(B,rd(rd(rd(B,B),B),rd(rd(c,c),A)))
% Current number of equations to process: 1701
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [184] rd(A,rd(B,rd(rd(c,c),B))) <-> rd(rd(A,B),B)
% Current number of equations to process: 1739
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced : [185] rd(rd(A,B),B) <-> rd(A,rd(B,rd(rd(c,c),B)))
% Current number of equations to process: 1739
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [186]
% rd(A,rd(rd(c,c),rd(rd(B,rd(rd(c,c),B)),rd(rd(rd(C,C),C),rd(rd(c,c),B))))) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),C))))
% Current number of equations to process: 1808
% Current number of ordered equations: 0
% Current number of rules: 86
% Rule [162]
% rd(A,rd(rd(c,c),rd(A,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B)))))) <->
% rd(rd(A,rd(rd(c,c),A)),rd(rd(rd(B,B),B),rd(rd(c,c),C))) is composed into 
% [162]
% rd(A,rd(rd(c,c),rd(A,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B)))))) <->
% rd(A,rd(rd(c,c),rd(A,rd(rd(rd(B,B),B),rd(rd(c,c),C)))))
% New rule produced :
% [187] rd(rd(A,rd(rd(c,c),A)),B) -> rd(A,rd(rd(c,c),rd(A,B)))
% Rule
% [163]
% rd(rd(A,rd(rd(c,c),A)),rd(rd(rd(B,B),B),rd(rd(c,c),C))) <->
% rd(A,rd(rd(c,c),rd(A,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B))))))
% collapsed.
% Rule
% [186]
% rd(A,rd(rd(c,c),rd(rd(B,rd(rd(c,c),B)),rd(rd(rd(C,C),C),rd(rd(c,c),B))))) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),C)))) collapsed.
% Current number of equations to process: 1856
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [188]
% rd(A,rd(rd(c,c),rd(rd(rd(V_3,V_3),V_3),rd(rd(c,c),rd(rd(V_3,B),rd(rd(c,c),C))))))
% <-> rd(rd(A,B),rd(rd(c,c),C))
% Current number of equations to process: 1872
% Current number of ordered equations: 1
% Current number of rules: 86
% Rule [177]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) <->
% rd(A,rd(rd(c,c),rd(V_3,rd(rd(c,c),rd(rd(rd(c,c),rd(B,rd(rd(c,c),V_3))),
% rd(rd(c,c),C)))))) is composed into 
% [177]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) <->
% rd(A,rd(rd(c,c),rd(V_3,rd(rd(c,c),rd(rd(c,c),rd(rd(c,c),rd(rd(rd(c,c),c),
% rd(rd(c,c),rd(
% rd(c,
% rd(B,
% rd(
% rd(c,c),V_3))),
% rd(
% rd(c,c),C))))))))))
% Rule [176]
% rd(rd(A,B),rd(rd(c,c),C)) <->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(c,c),rd(B,rd(rd(c,c),B))),
% rd(rd(c,c),C)))))) is composed into 
% [176]
% rd(rd(A,B),rd(rd(c,c),C)) <->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(c,c),rd(rd(c,c),rd(rd(rd(c,c),c),
% rd(rd(c,c),rd(rd(c,
% rd(B,
% rd(
% rd(c,c),B))),
% rd(rd(c,c),C))))))))))
% New rule produced :
% [189]
% rd(rd(A,B),rd(rd(c,c),C)) <->
% rd(A,rd(rd(c,c),rd(rd(rd(V_3,V_3),V_3),rd(rd(c,c),rd(rd(V_3,B),rd(rd(c,c),C))))))
% Rule
% [175]
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(c,c),rd(B,rd(rd(c,c),B))),rd(
% rd(c,c),C))))))
% <-> rd(rd(A,B),rd(rd(c,c),C)) collapsed.
% Rule
% [178]
% rd(A,rd(rd(c,c),rd(V_3,rd(rd(c,c),rd(rd(rd(c,c),rd(B,rd(rd(c,c),V_3))),
% rd(rd(c,c),C)))))) <->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) collapsed.
% Current number of equations to process: 1874
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [190]
% rd(rd(rd(A,A),rd(A,B)),rd(rd(c,c),rd(A,rd(B,rd(rd(c,c),B))))) ->
% rd(rd(c,c),B)
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [191]
% rd(rd(A,rd(rd(c,c),B)),rd(rd(B,B),B)) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),B))))
% Current number of equations to process: 2041
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [192] rd(A,rd(B,rd(rd(B,B),B))) <-> rd(rd(A,B),B)
% Current number of equations to process: 2062
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced : [193] rd(rd(A,B),B) <-> rd(A,rd(B,rd(rd(B,B),B)))
% Current number of equations to process: 2062
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [194]
% rd(rd(A,B),rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,C))))) ->
% rd(A,rd(rd(c,c),rd(B,C)))
% Rule
% [169]
% rd(rd(A,B),rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),C)))))) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),C)))) collapsed.
% Current number of equations to process: 2147
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [195]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(B,rd(rd(c,c),C)),V_3)))))
% <-> rd(rd(A,rd(rd(c,c),C)),V_3)
% Current number of equations to process: 2224
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [196]
% rd(rd(A,rd(rd(c,c),C)),V_3) <->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(B,rd(rd(c,c),C)),V_3)))))
% Current number of equations to process: 2224
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [197]
% rd(A,rd(C,rd(rd(c,c),C))) <->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(B,C),C)))))
% Current number of equations to process: 2338
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [198]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(B,C),C))))) <->
% rd(A,rd(C,rd(rd(c,c),C)))
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [199]
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(rd(C,C),C),rd(rd(c,c),B))))))) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),C))))
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [200]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(A,rd(rd(rd(B,B),B),rd(rd(c,c),C))),
% rd(rd(c,c),V_3)))) <->
% rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),V_3))))
% Current number of equations to process: 2502
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [201]
% rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),V_3)))) <->
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(A,rd(rd(rd(B,B),B),rd(rd(c,c),C))),
% rd(rd(c,c),V_3))))
% Current number of equations to process: 2502
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [202]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) <->
% rd(A,rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,rd(B,rd(rd(c,c),C))),rd(rd(c,c),
% rd(B,rd(
% rd(c,c),B)))))))
% Current number of equations to process: 2643
% Current number of ordered equations: 3
% Current number of rules: 97
% New rule produced :
% [203]
% rd(A,rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,rd(B,rd(rd(c,c),C))),rd(rd(c,c),
% rd(B,rd(
% rd(c,c),B)))))))
% <-> rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))
% Current number of equations to process: 2643
% Current number of ordered equations: 2
% Current number of rules: 98
% New rule produced :
% [204]
% rd(A,rd(rd(c,c),rd(rd(A,rd(A,rd(rd(c,c),A))),rd(rd(c,c),rd(A,rd(rd(c,c),
% rd(A,rd(
% rd(c,c),
% rd(
% rd(
% rd(c,c),c),
% rd(
% rd(c,c),
% rd(
% rd(c,
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),A))))))),
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(
% rd(B,B),B),
% rd(
% rd(c,c),C)))))))))))))))
% <-> rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B))))
% Current number of equations to process: 2643
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [205]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B)))) <->
% rd(A,rd(rd(c,c),rd(rd(A,rd(A,rd(rd(c,c),A))),rd(rd(c,c),rd(A,rd(rd(c,c),
% rd(A,rd(
% rd(c,c),
% rd(
% rd(
% rd(c,c),c),
% rd(
% rd(c,c),
% rd(
% rd(c,
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),A))))))),
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(
% rd(B,B),B),
% rd(
% rd(c,c),C)))))))))))))))
% Current number of equations to process: 2643
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [206]
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),V_3)))),rd(rd(rd(C,C),C),
% rd(rd(c,c),V_3))) ->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))
% Current number of equations to process: 3025
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [207]
% rd(rd(A,rd(rd(A,A),A)),rd(rd(c,c),B)) ->
% rd(A,rd(rd(c,c),rd(A,rd(rd(c,c),B))))
% Current number of equations to process: 3109
% Current number of ordered equations: 0
% Current number of rules: 102
% Rule [205]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B)))) <->
% rd(A,rd(rd(c,c),rd(rd(A,rd(A,rd(rd(c,c),A))),rd(rd(c,c),rd(A,rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),
% rd(
% rd(
% rd(c,c),c),
% rd(
% rd(c,c),
% rd(
% rd(c,
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),A))))))),
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(
% rd(B,B),B),
% rd(
% rd(c,c),C))))))))))))))) is composed into 
% [205]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B)))) <->
% rd(A,rd(rd(c,c),rd(rd(rd(c,c),A),rd(rd(c,c),rd(A,rd(rd(c,c),rd(A,rd(rd(c,c),
% rd(rd(
% rd(c,c),c),
% rd(rd(c,c),
% rd(rd(c,
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),A))))))),
% rd(rd(c,c),
% rd(A,
% rd(rd(
% rd(B,B),B),
% rd(rd(c,c),C)))))))))))))))
% New rule produced : [208] rd(A,rd(A,rd(rd(c,c),A))) -> rd(rd(c,c),A)
% Rule
% [204]
% rd(A,rd(rd(c,c),rd(rd(A,rd(A,rd(rd(c,c),A))),rd(rd(c,c),rd(A,rd(rd(c,c),
% rd(A,rd(
% rd(c,c),
% rd(
% rd(
% rd(c,c),c),
% rd(
% rd(c,c),
% rd(
% rd(c,
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),A))))))),
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(
% rd(B,B),B),
% rd(
% rd(c,c),C)))))))))))))))
% <-> rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B)))) collapsed.
% Current number of equations to process: 3148
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [209] rd(rd(C,C),C) <-> rd(rd(rd(A,A),B),rd(C,B))
% Current number of equations to process: 3168
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced : [210] rd(rd(rd(A,A),B),rd(C,B)) <-> rd(rd(C,C),C)
% Current number of equations to process: 3168
% Current number of ordered equations: 0
% Current number of rules: 104
% Rule [139] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B) is composed into 
% [139] mult(rd(A,B),rd(A,B)) -> rd(rd(c,c),rd(B,mult(rd(A,B),A)))
% New rule produced : [211] rd(A,B) <-> rd(rd(c,c),rd(B,A))
% Rule [1] rd(mult(A,B),B) -> A collapsed.
% Rule [28] rd(mult(A,mult(B,B)),B) -> mult(A,B) collapsed.
% Rule [120] rd(mult(A,ld(B,c)),c) -> rd(A,B) collapsed.
% Rule
% [164]
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))),C) <->
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),V_3)))),V_3) collapsed.
% Rule [166] rd(rd(A,rd(rd(B,B),C)),C) -> A collapsed.
% Rule
% [180]
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(C,rd(rd(c,c),V_3)))))),V_3)
% -> rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) collapsed.
% Rule
% [182]
% rd(rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),B)))))),B) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),B)))) collapsed.
% Current number of equations to process: 3246
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced : [212] rd(rd(c,c),rd(B,rd(A,rd(rd(c,c),B)))) -> A
% Rule
% [199]
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(rd(C,C),C),rd(rd(c,c),B))))))) ->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),C)))) collapsed.
% Current number of equations to process: 3245
% Current number of ordered equations: 1
% Current number of rules: 98
% Rule [197]
% rd(A,rd(C,rd(rd(c,c),C))) <->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(B,C),C))))) is composed into 
% [197]
% rd(A,rd(C,rd(rd(c,c),C))) <->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(C,rd(B,C)))))
% New rule produced : [213] rd(rd(c,c),rd(B,A)) <-> rd(A,B)
% Rule
% [198]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(B,C),C))))) <->
% rd(A,rd(C,rd(rd(c,c),C))) collapsed.
% Current number of equations to process: 3246
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [214] rd(C,B) <-> rd(rd(A,A),rd(B,C))
% Rule [211] rd(A,B) <-> rd(rd(c,c),rd(B,A)) collapsed.
% Current number of equations to process: 3499
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced : [215] rd(rd(A,A),rd(B,C)) <-> rd(C,B)
% Rule [213] rd(rd(c,c),rd(B,A)) <-> rd(A,B) collapsed.
% Current number of equations to process: 3499
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [216] rd(rd(A,rd(B,C)),rd(C,B)) -> A
% Current number of equations to process: 3717
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [217] rd(A,rd(B,rd(rd(c,c),C))) <-> rd(rd(A,C),B)
% Rule [184] rd(A,rd(B,rd(rd(c,c),B))) <-> rd(rd(A,B),B) collapsed.
% Current number of equations to process: 3891
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced : [218] rd(rd(A,C),B) <-> rd(A,rd(B,rd(rd(c,c),C)))
% Rule [185] rd(rd(A,B),B) <-> rd(A,rd(B,rd(rd(c,c),B))) collapsed.
% Current number of equations to process: 3891
% Current number of ordered equations: 0
% Current number of rules: 99
% Rule [209] rd(rd(C,C),C) <-> rd(rd(rd(A,A),B),rd(C,B)) is composed into 
% [209] rd(rd(C,C),C) <-> rd(rd(A,A),C)
% New rule produced : [219] rd(rd(A,C),rd(B,C)) -> rd(A,B)
% Rule [167] rd(rd(A,B),rd(rd(C,C),B)) -> A collapsed.
% Rule [210] rd(rd(rd(A,A),B),rd(C,B)) <-> rd(rd(C,C),C) collapsed.
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [220] rd(A,rd(B,rd(C,V_3))) <-> rd(rd(A,rd(V_3,C)),B)
% Current number of equations to process: 4001
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced : [221] rd(rd(A,rd(V_3,C)),B) <-> rd(A,rd(B,rd(C,V_3)))
% Current number of equations to process: 4001
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [222] rd(A,rd(B,rd(rd(C,C),B))) <-> rd(rd(A,B),B)
% Rule [192] rd(A,rd(B,rd(rd(B,B),B))) <-> rd(rd(A,B),B) collapsed.
% Current number of equations to process: 4670
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced : [223] rd(rd(A,B),B) <-> rd(A,rd(B,rd(rd(C,C),B)))
% Rule [193] rd(rd(A,B),B) <-> rd(A,rd(B,rd(rd(B,B),B))) collapsed.
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [224] rd(A,rd(A,rd(rd(B,B),A))) <-> rd(rd(c,c),A)
% Rule [208] rd(A,rd(A,rd(rd(c,c),A))) -> rd(rd(c,c),A) collapsed.
% Current number of equations to process: 4870
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [225] rd(A,rd(B,rd(rd(C,C),A))) <-> rd(rd(B,B),B)
% Current number of equations to process: 4911
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced : [226] rd(rd(B,B),B) <-> rd(A,rd(B,rd(rd(C,C),A)))
% Current number of equations to process: 4911
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [227] rd(C,rd(B,rd(rd(c,c),C))) <-> rd(rd(A,A),B)
% Current number of equations to process: 2511
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced : [228] rd(rd(A,A),B) <-> rd(C,rd(B,rd(rd(c,c),C)))
% Current number of equations to process: 2511
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [229] rd(rd(A,B),rd(C,rd(B,A))) <-> rd(rd(C,C),C)
% Current number of equations to process: 2703
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced : [230] rd(rd(C,C),C) <-> rd(rd(A,B),rd(C,rd(B,A)))
% Current number of equations to process: 2703
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [231] rd(A,rd(B,A)) <-> rd(rd(A,rd(rd(A,A),A)),B)
% Current number of equations to process: 2922
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced : [232] rd(rd(A,rd(rd(A,A),A)),B) <-> rd(A,rd(B,A))
% Current number of equations to process: 2922
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [233] rd(rd(C,V_3),rd(B,rd(V_3,C))) <-> rd(rd(A,A),B)
% Rule [229] rd(rd(A,B),rd(C,rd(B,A))) <-> rd(rd(C,C),C) collapsed.
% Current number of equations to process: 3067
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced : [234] rd(rd(A,A),B) <-> rd(rd(C,V_3),rd(B,rd(V_3,C)))
% Rule [230] rd(rd(C,C),C) <-> rd(rd(A,B),rd(C,rd(B,A))) collapsed.
% Current number of equations to process: 3067
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [235] rd(A,rd(B,C)) <-> rd(rd(A,rd(rd(V_3,V_3),C)),B)
% Rule [231] rd(A,rd(B,A)) <-> rd(rd(A,rd(rd(A,A),A)),B) collapsed.
% Current number of equations to process: 3336
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced : [236] rd(rd(A,rd(rd(V_3,V_3),C)),B) <-> rd(A,rd(B,C))
% Rule [232] rd(rd(A,rd(rd(A,A),A)),B) <-> rd(A,rd(B,A)) collapsed.
% Current number of equations to process: 3336
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [237] rd(A,rd(B,rd(rd(C,C),V_3))) <-> rd(rd(A,V_3),B)
% Rule [217] rd(A,rd(B,rd(rd(c,c),C))) <-> rd(rd(A,C),B) collapsed.
% Rule [222] rd(A,rd(B,rd(rd(C,C),B))) <-> rd(rd(A,B),B) collapsed.
% Current number of equations to process: 3657
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [238] rd(A,rd(V_3,C)) <-> rd(rd(A,rd(B,C)),rd(V_3,B))
% Current number of equations to process: 3791
% Current number of ordered equations: 3
% Current number of rules: 108
% New rule produced : [239] rd(rd(A,B),rd(C,rd(B,V_3))) <-> rd(rd(A,V_3),C)
% Current number of equations to process: 3791
% Current number of ordered equations: 2
% Current number of rules: 109
% New rule produced : [240] rd(rd(A,V_3),C) <-> rd(rd(A,B),rd(C,rd(B,V_3)))
% Current number of equations to process: 3791
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced : [241] rd(rd(A,rd(B,C)),rd(V_3,B)) <-> rd(A,rd(V_3,C))
% Rule [216] rd(rd(A,rd(B,C)),rd(C,B)) -> A collapsed.
% Current number of equations to process: 3791
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [242] rd(A,rd(B,rd(rd(C,C),A))) <-> rd(rd(V_3,V_3),B)
% Rule [224] rd(A,rd(A,rd(rd(B,B),A))) <-> rd(rd(c,c),A) collapsed.
% Rule [225] rd(A,rd(B,rd(rd(C,C),A))) <-> rd(rd(B,B),B) collapsed.
% Rule [227] rd(C,rd(B,rd(rd(c,c),C))) <-> rd(rd(A,A),B) collapsed.
% Current number of equations to process: 4664
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced : [243] rd(rd(V_3,V_3),B) <-> rd(A,rd(B,rd(rd(C,C),A)))
% Rule [226] rd(rd(B,B),B) <-> rd(A,rd(B,rd(rd(C,C),A))) collapsed.
% Rule [228] rd(rd(A,A),B) <-> rd(C,rd(B,rd(rd(c,c),C))) collapsed.
% Current number of equations to process: 4664
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [244]
% rd(A,rd(rd(c,c),rd(C,rd(rd(c,c),rd(C,rd(rd(c,c),rd(rd(rd(C,C),rd(C,rd(
% rd(c,c),C))),
% rd(rd(c,c),B)))))))) ->
% rd(A,rd(rd(c,c),B))
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [245]
% rd(rd(A,B),rd(rd(B,rd(rd(c,c),C)),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,
% rd(
% rd(c,c),C))))))))
% -> rd(A,rd(rd(c,c),B))
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [246]
% rd(rd(rd(A,A),rd(A,rd(rd(c,c),B))),rd(rd(c,c),rd(A,rd(rd(c,c),rd(B,rd(
% rd(c,c),
% rd(B,
% rd(
% rd(c,c),C))))))))
% -> rd(B,rd(rd(c,c),C))
% Current number of equations to process: 2473
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [247]
% rd(rd(rd(A,A),rd(A,rd(rd(c,c),A))),rd(rd(c,c),rd(A,rd(rd(c,c),C)))) ->
% rd(rd(rd(A,A),A),rd(rd(c,c),C))
% Current number of equations to process: 2636
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [248]
% rd(C,rd(rd(c,c),rd(C,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),rd(rd(rd(A,A),
% rd(A,rd(
% rd(c,c),C))),
% rd(rd(c,c),B))))))))
% -> rd(rd(rd(A,A),A),rd(rd(c,c),B))
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 112
% Rule [174]
% rd(rd(rd(A,A),rd(A,B)),rd(rd(c,c),C)) <->
% rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(
% rd(A,A),A),
% rd(rd(c,c),C)))))))) is composed into 
% [174]
% rd(rd(rd(A,A),rd(A,B)),rd(rd(c,c),C)) ->
% rd(B,rd(rd(c,c),rd(rd(rd(A,A),A),rd(rd(c,c),C))))
% Rule [173]
% rd(rd(A,C),B) <->
% rd(A,rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))))) is composed into 
% [173] rd(rd(A,C),B) <-> rd(A,rd(B,rd(rd(c,c),C)))
% New rule produced :
% [249]
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))))) ->
% rd(A,rd(rd(c,c),C))
% Rule
% [170]
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))))))
% -> rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),C)))) collapsed.
% Rule
% [171]
% rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(rd(A,A),A),
% rd(rd(c,c),C))))))))
% <-> rd(rd(rd(A,A),rd(A,B)),rd(rd(c,c),C)) collapsed.
% Rule
% [172]
% rd(A,rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))))) <->
% rd(rd(A,C),B) collapsed.
% Rule
% [179]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(V_3,rd(rd(c,c),rd(rd(rd(V_3,V_3),V_3),
% rd(rd(c,c),C))))))))
% -> rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) collapsed.
% Rule
% [248]
% rd(C,rd(rd(c,c),rd(C,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),rd(rd(rd(A,A),
% rd(A,rd(
% rd(c,c),C))),
% rd(rd(c,c),B))))))))
% -> rd(rd(rd(A,A),A),rd(rd(c,c),B)) collapsed.
% Current number of equations to process: 2878
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [250]
% rd(rd(A,B),rd(C,rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),C)))))) ->
% rd(A,rd(rd(c,c),B))
% Rule
% [245]
% rd(rd(A,B),rd(rd(B,rd(rd(c,c),C)),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,
% rd(
% rd(c,c),C))))))))
% -> rd(A,rd(rd(c,c),B)) collapsed.
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [251]
% rd(C,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),rd(A,rd(rd(c,c),B)))))) ->
% rd(A,rd(rd(c,c),B))
% Rule
% [181]
% rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),
% rd(rd(c,c),A))))))))
% -> rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),A)))) collapsed.
% Current number of equations to process: 3161
% Current number of ordered equations: 0
% Current number of rules: 108
% Rule [205]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B)))) <->
% rd(A,rd(rd(c,c),rd(rd(rd(c,c),A),rd(rd(c,c),rd(A,rd(rd(c,c),rd(A,
% rd(rd(c,c),
% rd(rd(
% rd(c,c),c),
% rd(rd(c,c),
% rd(rd(c,
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),A))))))),
% rd(rd(c,c),
% rd(A,
% rd(rd(
% rd(B,B),B),
% rd(rd(c,c),C))))))))))))))) is composed into 
% [205]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),B)))) <->
% rd(A,rd(rd(c,c),rd(rd(c,c),rd(rd(c,c),rd(A,rd(rd(c,c),rd(rd(rd(c,c),c),
% rd(rd(c,c),rd(rd(c,
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),
% rd(A,
% rd(
% rd(c,c),A))))))),
% rd(rd(c,c),
% rd(A,
% rd(rd(
% rd(B,B),B),
% rd(rd(c,c),C)))))))))))))
% New rule produced :
% [252] rd(rd(A,C),rd(rd(c,c),rd(C,rd(rd(c,c),B)))) -> rd(A,rd(rd(c,c),B))
% Rule
% [194]
% rd(rd(A,B),rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,C))))) ->
% rd(A,rd(rd(c,c),rd(B,C))) collapsed.
% Current number of equations to process: 3266
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [253]
% rd(rd(A,c),rd(V_3,rd(c,rd(rd(c,c),rd(C,rd(rd(c,c),V_3)))))) ->
% rd(A,rd(rd(c,c),C))
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [254]
% rd(A,rd(rd(c,c),rd(rd(rd(C,C),rd(B,rd(rd(c,c),B))),rd(rd(rd(c,c),V_3),
% rd(B,rd(rd(rd(c,c),C),
% rd(B,rd(rd(C,
% rd(rd(c,c),V_3)),B))))))))
% -> rd(A,rd(rd(c,c),B))
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [255]
% rd(rd(A,rd(rd(rd(C,C),C),rd(rd(c,c),V_3))),rd(rd(c,c),rd(rd(rd(C,C),C),
% rd(rd(c,c),rd(V_3,
% rd(rd(c,c),B))))))
% -> rd(A,rd(rd(c,c),B))
% Current number of equations to process: 3731
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [256]
% rd(V_3,rd(rd(c,c),rd(rd(rd(c,c),V_3),rd(rd(c,c),rd(rd(rd(A,A),A),rd(rd(c,c),B))))))
% -> rd(rd(rd(A,A),A),rd(rd(c,c),B))
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [257]
% rd(rd(c,c),rd(B,rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),B)))))) ->
% rd(A,rd(rd(c,c),B))
% Current number of equations to process: 4037
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [258]
% rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(B,c),rd(A,rd(c,rd(rd(c,c),A)))))) ->
% rd(A,A)
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [259] rd(rd(A,B),rd(rd(rd(c,c),c),rd(B,rd(c,B)))) -> rd(A,rd(rd(c,c),B))
% Current number of equations to process: 4237
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [260]
% rd(rd(A,B),rd(B,rd(B,rd(rd(rd(c,c),c),rd(B,rd(c,B)))))) ->
% rd(A,rd(rd(c,c),B))
% Current number of equations to process: 4363
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [261] rd(rd(A,B),rd(rd(c,c),rd(B,rd(rd(B,B),B)))) -> rd(A,rd(rd(c,c),B))
% Current number of equations to process: 4502
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [262]
% rd(rd(A,B),rd(B,rd(B,rd(rd(c,c),rd(B,rd(rd(B,B),B)))))) ->
% rd(A,rd(rd(c,c),B))
% Current number of equations to process: 4558
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [263] rd(rd(A,rd(rd(c,c),B)),rd(B,rd(rd(B,B),B))) -> rd(A,B)
% Current number of equations to process: 4629
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [264] rd(rd(A,rd(rd(B,B),B)),rd(B,rd(rd(c,c),B))) -> rd(A,B)
% Current number of equations to process: 4629
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [265] rd(B,rd(rd(c,c),B)) <-> rd(rd(A,A),rd(rd(rd(c,c),c),rd(B,rd(c,B))))
% Current number of equations to process: 4736
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [266] rd(rd(A,A),rd(rd(rd(c,c),c),rd(B,rd(c,B)))) <-> rd(B,rd(rd(c,c),B))
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [267]
% rd(rd(A,rd(B,rd(rd(c,c),B))),rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),B))))))
% -> rd(A,rd(rd(c,c),B))
% Current number of equations to process: 4902
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [268]
% rd(rd(A,B),rd(B,rd(rd(c,c),rd(B,rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,
% rd(rd(c,c),B))))))))))
% -> rd(A,rd(rd(c,c),B))
% Current number of equations to process: 1669
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [269]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(A,rd(rd(B,B),B)),rd(rd(c,c),C)))) ->
% rd(B,rd(rd(c,c),C))
% Current number of equations to process: 1848
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [270]
% rd(rd(c,c),rd(c,rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),c)))))) ->
% rd(A,B)
% Current number of equations to process: 1958
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [271]
% rd(rd(A,rd(rd(A,A),A)),rd(rd(rd(B,B),B),rd(rd(c,c),A))) ->
% rd(A,rd(rd(c,c),B))
% Current number of equations to process: 2072
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [272]
% rd(rd(A,rd(rd(rd(C,C),C),rd(rd(c,c),V_3))),rd(rd(rd(c,c),B),rd(rd(c,c),
% rd(rd(rd(V_3,V_3),V_3),
% rd(rd(c,c),C)))))
% -> rd(A,rd(rd(c,c),B))
% Current number of equations to process: 2134
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [273] rd(rd(A,C),rd(rd(c,c),rd(C,B))) -> rd(A,B)
% Rule [152] rd(rd(rd(C,C),C),rd(rd(c,c),rd(C,B))) <-> rd(rd(A,A),B) collapsed.
% Rule [252] rd(rd(A,C),rd(rd(c,c),rd(C,rd(rd(c,c),B)))) -> rd(A,rd(rd(c,c),B))
% collapsed.
% Rule [261] rd(rd(A,B),rd(rd(c,c),rd(B,rd(rd(B,B),B)))) -> rd(A,rd(rd(c,c),B))
% collapsed.
% Current number of equations to process: 2273
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [274] rd(rd(A,B),rd(rd(C,C),rd(B,A))) <-> rd(V_3,V_3)
% Current number of equations to process: 2449
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [275] rd(C,rd(rd(B,A),rd(rd(c,c),C))) -> rd(A,B)
% Current number of equations to process: 2563
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [276] rd(rd(A,B),rd(rd(C,C),rd(B,V_3))) -> rd(A,V_3)
% Rule [273] rd(rd(A,C),rd(rd(c,c),rd(C,B))) -> rd(A,B) collapsed.
% Rule [274] rd(rd(A,B),rd(rd(C,C),rd(B,A))) <-> rd(V_3,V_3) collapsed.
% Current number of equations to process: 2659
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced : [277] rd(rd(rd(A,A),rd(B,C)),rd(V_3,B)) -> rd(C,V_3)
% Current number of equations to process: 2659
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [278] rd(rd(C,V_3),rd(rd(B,A),rd(V_3,C))) -> rd(A,B)
% Current number of equations to process: 3003
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [279] rd(C,rd(rd(B,A),rd(rd(V_3,V_3),C))) -> rd(A,B)
% Rule [275] rd(C,rd(rd(B,A),rd(rd(c,c),C))) -> rd(A,B) collapsed.
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [280] rd(A,rd(rd(c,c),rd(rd(rd(A,A),A),rd(rd(c,c),C)))) -> C
% Rule
% [249]
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))))) ->
% rd(A,rd(rd(c,c),C)) collapsed.
% Rule
% [251]
% rd(C,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),rd(A,rd(rd(c,c),B)))))) ->
% rd(A,rd(rd(c,c),B)) collapsed.
% Current number of equations to process: 3292
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [281]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(A,rd(A,rd(rd(c,c),B))),rd(rd(c,c),rd(A,
% rd(
% rd(c,c),
% rd(B,
% rd(
% rd(c,c),B))))))))
% -> B
% Current number of equations to process: 3363
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [282]
% rd(rd(rd(A,A),rd(rd(A,B),C)),rd(rd(c,c),rd(A,rd(rd(c,c),B)))) ->
% rd(C,rd(rd(c,c),rd(B,rd(rd(c,c),B))))
% Current number of equations to process: 3502
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [283]
% rd(A,rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),B))))))) <->
% rd(rd(A,B),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),B)))))
% Current number of equations to process: 3673
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [284]
% rd(rd(A,B),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),B))))) <->
% rd(A,rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),B)))))))
% Current number of equations to process: 3673
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [285]
% rd(C,rd(rd(c,c),rd(B,rd(rd(c,c),B)))) <->
% rd(rd(rd(A,A),B),rd(rd(rd(c,c),A),rd(B,rd(rd(rd(A,B),B),C))))
% Current number of equations to process: 3939
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [286]
% rd(rd(rd(A,A),B),rd(rd(rd(c,c),A),rd(B,rd(rd(rd(A,B),B),C)))) <->
% rd(C,rd(rd(c,c),rd(B,rd(rd(c,c),B))))
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [287]
% rd(rd(rd(A,B),B),rd(B,rd(rd(c,c),B))) ->
% rd(A,rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),rd(B,rd(rd(c,c),B)))))))
% Current number of equations to process: 4201
% Current number of ordered equations: 0
% Current number of rules: 135
% Rule [177]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) <->
% rd(A,rd(rd(c,c),rd(V_3,rd(rd(c,c),rd(rd(c,c),rd(rd(c,c),rd(rd(rd(c,c),c),
% rd(rd(c,c),
% rd(rd(c,
% rd(B,
% rd(rd(c,c),V_3))),
% rd(rd(c,c),C)))))))))) is composed into 
% [177]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) <->
% rd(A,rd(rd(c,c),rd(V_3,rd(rd(c,c),rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,
% rd(B,
% rd(rd(c,c),V_3))),
% rd(rd(c,c),C))))))))
% Rule [176]
% rd(rd(A,B),rd(rd(c,c),C)) <->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(c,c),rd(rd(c,c),rd(rd(rd(c,c),c),
% rd(rd(c,c),
% rd(rd(c,rd(B,
% rd(
% rd(c,c),B))),
% rd(rd(c,c),C)))))))))) is composed into 
% [176]
% rd(rd(A,B),rd(rd(c,c),C)) <->
% rd(A,rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,rd(B,
% rd(
% rd(c,c),B))),
% rd(rd(c,c),C))))))))
% New rule produced :
% [288]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))) <->
% rd(rd(A,B),rd(rd(c,c),C))
% Rule [280] rd(A,rd(rd(c,c),rd(rd(rd(A,A),A),rd(rd(c,c),C)))) -> C collapsed.
% Current number of equations to process: 4256
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [289]
% rd(rd(A,B),rd(rd(c,c),C)) <->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C))))
% Current number of equations to process: 4256
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [290]
% rd(A,rd(rd(c,c),rd(rd(rd(c,c),B),rd(rd(c,c),V_3)))) <->
% rd(rd(A,B),rd(rd(c,c),V_3))
% Current number of equations to process: 4562
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [291]
% rd(rd(A,B),rd(rd(c,c),V_3)) <->
% rd(A,rd(rd(c,c),rd(rd(rd(c,c),B),rd(rd(c,c),V_3))))
% Current number of equations to process: 4562
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [292]
% rd(rd(rd(A,A),rd(rd(A,B),rd(B,rd(rd(c,c),B)))),rd(rd(c,c),rd(A,rd(B,rd(
% rd(c,c),B)))))
% -> B
% Current number of equations to process: 4903
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [293]
% rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,rd(rd(rd(B,B),B),rd(rd(c,c),C))),
% rd(rd(c,c),V_3)))) ->
% rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,C),rd(rd(c,c),rd(B,rd(rd(c,c),V_3))))))
% Current number of equations to process: 1543
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [294]
% rd(A,rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(C,C),C),rd(
% rd(c,c),B)))))))
% <->
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))),rd(rd(rd(C,C),C),
% rd(rd(c,c),B)))
% Current number of equations to process: 1707
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [295]
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))),rd(rd(rd(C,C),C),
% rd(rd(c,c),B))) <->
% rd(A,rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(C,C),C),rd(
% rd(c,c),B)))))))
% Current number of equations to process: 1707
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [296]
% rd(B,rd(rd(c,c),rd(rd(rd(V_3,V_3),V_3),rd(rd(c,c),C)))) <->
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(A,rd(rd(c,c),B)),rd(rd(rd(C,C),C),rd(
% rd(c,c),V_3)))))
% Current number of equations to process: 2039
% Current number of ordered equations: 2
% Current number of rules: 143
% Rule [201]
% rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),V_3)))) <->
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(A,rd(rd(rd(B,B),B),rd(rd(c,c),C))),
% rd(rd(c,c),V_3)))) is composed into 
% [201]
% rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),V_3)))) <->
% rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,C),rd(rd(c,c),rd(B,rd(rd(c,c),V_3))))))
% New rule produced :
% [297]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(A,rd(rd(rd(B,B),B),rd(rd(c,c),C))),
% rd(rd(c,c),V_3)))) ->
% rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,C),rd(rd(c,c),rd(B,rd(rd(c,c),V_3))))))
% Rule
% [200]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(A,rd(rd(rd(B,B),B),rd(rd(c,c),C))),
% rd(rd(c,c),V_3)))) <->
% rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),V_3)))) collapsed.
% Rule
% [293]
% rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,rd(rd(rd(B,B),B),rd(rd(c,c),C))),
% rd(rd(c,c),V_3)))) ->
% rd(rd(rd(c,c),c),rd(rd(c,c),rd(rd(c,C),rd(rd(c,c),rd(B,rd(rd(c,c),V_3))))))
% collapsed.
% Current number of equations to process: 2040
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [298]
% rd(rd(rd(A,A),A),rd(rd(c,c),rd(rd(A,rd(rd(c,c),B)),rd(rd(rd(C,C),C),rd(
% rd(c,c),V_3)))))
% <-> rd(B,rd(rd(c,c),rd(rd(rd(V_3,V_3),V_3),rd(rd(c,c),C))))
% Current number of equations to process: 2216
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [299]
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(C,rd(rd(c,c),rd(rd(rd(V_3,V_3),V_3),
% rd(rd(c,c),V_4))))))))
% <->
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))),rd(rd(rd(V_4,V_4),V_4),
% rd(rd(c,c),V_3)))
% Current number of equations to process: 2595
% Current number of ordered equations: 1
% Current number of rules: 144
% Rule [294]
% rd(A,rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(C,C),C),
% rd(rd(c,c),B))))))) <->
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))),rd(rd(rd(C,C),C),
% rd(rd(c,c),B))) is composed into 
% [294]
% rd(A,rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(C,C),C),rd(
% rd(c,c),B)))))))
% <->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(C,rd(rd(c,c),rd(rd(rd(B,B),B),
% rd(rd(c,c),C))))))))
% New rule produced :
% [300]
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))),rd(rd(rd(V_4,V_4),V_4),
% rd(rd(c,c),V_3))) <->
% rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(C,rd(rd(c,c),rd(rd(rd(V_3,V_3),V_3),
% rd(rd(c,c),V_4))))))))
% Rule
% [295]
% rd(rd(A,rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),C)))),rd(rd(rd(C,C),C),
% rd(rd(c,c),B))) <->
% rd(A,rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(C,C),C),rd(
% rd(c,c),B)))))))
% collapsed.
% Current number of equations to process: 2596
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [301]
% rd(A,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(C,C),C),
% rd(rd(c,c),B))))))))
% <->
% rd(rd(A,B),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(
% rd(B,
% rd(
% rd(c,c),C)),
% rd(B,
% rd(
% rd(
% rd(B,B),B),
% rd(
% rd(c,c),C)))))))))
% Current number of equations to process: 3059
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [302]
% rd(rd(A,B),rd(rd(rd(B,B),B),rd(rd(c,c),rd(rd(rd(B,B),B),rd(rd(c,c),rd(
% rd(B,
% rd(
% rd(c,c),C)),
% rd(B,
% rd(
% rd(
% rd(B,B),B),
% rd(
% rd(c,c),C)))))))))
% <->
% rd(A,rd(rd(c,c),rd(rd(rd(C,C),C),rd(rd(c,c),rd(B,rd(rd(c,c),rd(rd(rd(C,C),C),
% Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------