TSTP Solution File: GRP662-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP662-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n038.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:23:48 EDT 2014
% Result : Timeout 300.07s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP662-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n038.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Sat Jun 7 00:29:58 CDT 2014
% % CPUTime : 300.07
% Processing problem /tmp/CiME_9089_n038.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b,a,op_d,op_c,unit : 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,unit) = A;
% mult(unit,A) = A;
% mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C));
% mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C)));
% mult(op_c,op_d) = unit;
% ";
%
% let s1 = status F "
% b lr_lex;
% a lr_lex;
% op_d lr_lex;
% op_c lr_lex;
% unit lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
%
% let p1 = precedence F "
% ld > mult > rd > unit > op_c > op_d > a > b";
%
% let s2 = status F "
% b mul;
% a mul;
% op_d mul;
% op_c mul;
% unit mul;
% rd mul;
% mult mul;
% ld mul;
% ";
%
% let p2 = precedence F "
% ld > mult > rd > unit = op_c = op_d = a = b";
%
% 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,mult(op_d,op_c)),b) = mult(a,mult(mult(op_d,op_c),b));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% mult(rd(A,B),B) = A,
% rd(mult(A,B),B) = A,
% mult(A,unit) = A,
% mult(unit,A) = A,
% mult(A,mult(B,C)) =
% mult(rd(mult(A,B),A),mult(A,C)),
% mult(mult(A,B),C) =
% mult(mult(A,C),ld(C,mult(B,C))),
% mult(op_c,op_d) = unit } (9 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { mult(mult(a,mult(op_d,op_c)),b) =
% mult(a,mult(mult(op_d,op_c),b)) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] mult(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 1
% New rule produced : [2] mult(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 2
% New rule produced : [3] mult(op_c,op_d) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 3
% New rule produced : [4] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 4
% New rule produced : [5] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 5
% New rule produced : [6] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 6
% New rule produced : [7] ld(A,mult(A,B)) -> B
% 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,B),C) <-> mult(mult(A,C),ld(C,mult(B,C)))
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 8
% New rule produced : [9] mult(rd(mult(A,B),A),mult(A,C)) -> mult(A,mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 9
% New rule produced :
% [10] mult(mult(A,C),ld(C,mult(B,C))) <-> mult(mult(A,B),C)
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 10
% New rule produced : [11] rd(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 11
% New rule produced : [12] rd(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 12
% New rule produced : [13] rd(unit,op_d) -> op_c
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 13
% New rule produced : [14] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 14
% New rule produced : [15] ld(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 15
% New rule produced : [16] ld(op_c,unit) -> op_d
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 16
% New rule produced : [17] rd(A,ld(B,A)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced : [18] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] mult(op_c,mult(A,op_d)) -> rd(mult(op_c,A),op_c)
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20] mult(rd(unit,op_c),mult(op_c,A)) -> mult(op_c,mult(op_d,A))
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [21] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C))
% Current number of equations to process: 10
% Current number of ordered equations: 2
% Current number of rules: 21
% New rule produced : [22] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,B),A),C)
% Current number of equations to process: 10
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [23] mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,ld(A,C)))
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [24] ld(op_d,mult(A,op_d)) -> mult(mult(op_c,A),op_d)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25] mult(mult(A,op_d),ld(op_d,unit)) <-> mult(mult(A,op_c),op_d)
% Current number of equations to process: 21
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [26] mult(mult(A,op_c),op_d) <-> mult(mult(A,op_d),ld(op_d,unit))
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [27] mult(A,ld(B,mult(C,B))) <-> mult(mult(rd(A,B),C),B)
% Current number of equations to process: 19
% Current number of ordered equations: 3
% Current number of rules: 27
% New rule produced : [28] mult(mult(A,B),ld(B,C)) <-> mult(mult(A,rd(C,B)),B)
% Current number of equations to process: 19
% Current number of ordered equations: 2
% Current number of rules: 28
% New rule produced : [29] mult(mult(rd(A,B),C),B) <-> mult(A,ld(B,mult(C,B)))
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced : [30] mult(mult(A,rd(C,B)),B) <-> mult(mult(A,B),ld(B,C))
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [31] rd(mult(op_c,rd(A,op_d)),op_c) -> mult(op_c,A)
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [32] ld(op_c,rd(mult(op_c,A),op_c)) -> mult(A,op_d)
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [33] rd(rd(mult(op_c,A),op_c),mult(A,op_d)) -> op_c
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [34] rd(mult(op_c,mult(op_d,A)),mult(op_c,A)) -> rd(unit,op_c)
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [35] ld(rd(unit,op_c),mult(op_c,mult(op_d,A))) -> mult(op_c,A)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [36] mult(A,mult(B,ld(A,unit))) -> rd(mult(A,B),A)
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 36
% Rule [26] mult(mult(A,op_c),op_d) <-> mult(mult(A,op_d),ld(op_d,unit)) is composed into
% [26]
% mult(mult(A,op_c),op_d) <-> mult(mult(A,op_d),mult(mult(op_c,op_c),op_d))
% New rule produced : [37] ld(op_d,unit) -> mult(mult(op_c,op_c),op_d)
% Rule [25] mult(mult(A,op_d),ld(op_d,unit)) <-> mult(mult(A,op_c),op_d)
% collapsed.
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [38] mult(op_d,mult(mult(op_c,A),op_d)) -> mult(A,op_d)
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [39] ld(op_d,A) -> mult(mult(op_c,rd(A,op_d)),op_d)
% Rule [24] ld(op_d,mult(A,op_d)) -> mult(mult(op_c,A),op_d) collapsed.
% Rule [37] ld(op_d,unit) -> mult(mult(op_c,op_c),op_d) collapsed.
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 36
% Rule [29] mult(mult(rd(A,B),C),B) <-> mult(A,ld(B,mult(C,B))) is composed into
% [29] mult(mult(rd(A,B),C),B) <-> mult(A,mult(mult(rd(unit,B),C),B))
% Rule [8] mult(mult(A,B),C) <-> mult(mult(A,C),ld(C,mult(B,C))) is composed into
% [8] mult(mult(A,B),C) <-> mult(mult(A,C),mult(mult(rd(unit,C),B),C))
% New rule produced : [40] ld(A,mult(B,A)) -> mult(mult(rd(unit,A),B),A)
% Rule [10] mult(mult(A,C),ld(C,mult(B,C))) <-> mult(mult(A,B),C) collapsed.
% Rule [27] mult(A,ld(B,mult(C,B))) <-> mult(mult(rd(A,B),C),B) collapsed.
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [41] mult(mult(A,rd(unit,op_c)),op_c) -> mult(mult(A,op_c),op_d)
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [42] mult(B,mult(mult(rd(unit,B),A),B)) -> mult(A,B)
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [43] mult(mult(op_c,A),op_c) -> mult(op_c,rd(A,op_d))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [44] ld(op_c,rd(unit,op_c)) -> mult(op_d,op_d)
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [45] ld(op_c,rd(A,op_c)) -> mult(ld(op_c,A),op_d)
% Rule [32] ld(op_c,rd(mult(op_c,A),op_c)) -> mult(A,op_d) collapsed.
% Rule [44] ld(op_c,rd(unit,op_c)) -> mult(op_d,op_d) collapsed.
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [46] rd(rd(unit,op_c),mult(op_d,op_d)) -> op_c
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [47] ld(mult(op_c,A),mult(op_c,rd(A,op_d))) -> op_c
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [48] rd(rd(A,op_c),mult(ld(op_c,A),op_d)) -> op_c
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [49] mult(mult(op_c,A),mult(op_c,B)) -> mult(op_c,mult(rd(A,op_d),B))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [50] mult(mult(A,mult(op_c,B)),op_c) -> mult(mult(A,op_c),rd(B,op_d))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [51] ld(A,rd(mult(A,B),A)) -> mult(B,ld(A,unit))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 44
% Rule [45] ld(op_c,rd(A,op_c)) -> mult(ld(op_c,A),op_d) is composed into
% [45] ld(op_c,rd(A,op_c)) -> mult(op_d,mult(A,op_d))
% New rule produced : [52] mult(ld(op_c,A),op_d) -> mult(op_d,mult(A,op_d))
% Rule [48] rd(rd(A,op_c),mult(ld(op_c,A),op_d)) -> op_c collapsed.
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [53] rd(rd(A,op_c),mult(op_d,mult(A,op_d))) -> op_c
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [54] rd(mult(A,op_d),mult(mult(op_c,A),op_d)) -> op_d
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [55] mult(mult(op_c,rd(mult(op_d,A),op_d)),op_d) -> A
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [56] rd(A,mult(mult(op_c,rd(A,op_d)),op_d)) -> op_d
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [57] rd(mult(mult(A,op_c),op_d),op_c) -> mult(A,rd(unit,op_c))
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [58] rd(mult(A,rd(B,ld(A,unit))),A) -> mult(A,B)
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 50
% Rule [30] mult(mult(A,rd(C,B)),B) <-> mult(mult(A,B),ld(B,C)) is composed into
% [30]
% mult(mult(A,rd(C,B)),B) <-> mult(mult(A,B),mult(mult(rd(unit,B),rd(C,B)),B))
% Rule [23] mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,ld(A,C))) is composed into
% [23]
% mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,mult(mult(rd(unit,A),rd(C,A)),A)))
% New rule produced : [59] ld(A,B) -> mult(mult(rd(unit,A),rd(B,A)),A)
% Rule [5] mult(A,ld(A,B)) -> B collapsed.
% Rule [7] ld(A,mult(A,B)) -> B collapsed.
% Rule [14] ld(unit,A) -> A collapsed.
% Rule [15] ld(A,A) -> unit collapsed.
% Rule [16] ld(op_c,unit) -> op_d collapsed.
% Rule [17] rd(A,ld(B,A)) -> B collapsed.
% Rule [18] ld(rd(A,B),A) -> B collapsed.
% Rule [21] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C)) collapsed.
% Rule [22] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,B),A),C) collapsed.
% Rule [28] mult(mult(A,B),ld(B,C)) <-> mult(mult(A,rd(C,B)),B) collapsed.
% Rule [35] ld(rd(unit,op_c),mult(op_c,mult(op_d,A))) -> mult(op_c,A)
% collapsed.
% Rule [36] mult(A,mult(B,ld(A,unit))) -> rd(mult(A,B),A) collapsed.
% Rule [39] ld(op_d,A) -> mult(mult(op_c,rd(A,op_d)),op_d) collapsed.
% Rule [40] ld(A,mult(B,A)) -> mult(mult(rd(unit,A),B),A) collapsed.
% Rule [45] ld(op_c,rd(A,op_c)) -> mult(op_d,mult(A,op_d)) collapsed.
% Rule [47] ld(mult(op_c,A),mult(op_c,rd(A,op_d))) -> op_c collapsed.
% Rule [51] ld(A,rd(mult(A,B),A)) -> mult(B,ld(A,unit)) collapsed.
% Rule [52] mult(ld(op_c,A),op_d) -> mult(op_d,mult(A,op_d)) collapsed.
% Rule [58] rd(mult(A,rd(B,ld(A,unit))),A) -> mult(A,B) collapsed.
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [60] mult(mult(rd(unit,A),rd(mult(A,B),A)),A) -> B
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 33
% Rule [26]
% mult(mult(A,op_c),op_d) <->
% mult(mult(A,op_d),mult(mult(op_c,op_c),op_d)) is composed into [26]
% mult(
% mult(A,op_c),op_d)
% ->
% mult(
% mult(A,op_d),
% mult(op_c,
% rd(
% rd(unit,op_c),op_d)))
% New rule produced :
% [61] mult(mult(op_c,op_c),op_d) -> mult(op_c,rd(rd(unit,op_c),op_d))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [62] mult(op_c,rd(mult(op_d,A),op_d)) -> rd(A,op_d)
% Rule [55] mult(mult(op_c,rd(mult(op_d,A),op_d)),op_d) -> A collapsed.
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [63] mult(op_c,mult(op_d,mult(A,op_d))) -> rd(A,op_c)
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [64] rd(rd(rd(A,op_d),op_c),mult(op_d,A)) -> op_c
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [65] rd(unit,mult(op_c,rd(rd(unit,op_c),op_d))) -> op_d
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [66] mult(mult(op_c,A),rd(B,op_d)) -> mult(op_c,rd(mult(A,B),op_d))
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [67] mult(rd(unit,B),rd(mult(B,A),B)) -> rd(A,B)
% Rule [60] mult(mult(rd(unit,A),rd(mult(A,B),A)),A) -> B collapsed.
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 38
% Rule [20] mult(rd(unit,op_c),mult(op_c,A)) -> mult(op_c,mult(op_d,A)) is composed into
% [20] mult(rd(unit,op_c),mult(op_c,A)) -> rd(rd(A,op_d),op_c)
% New rule produced : [68] mult(op_c,mult(op_d,A)) -> rd(rd(A,op_d),op_c)
% Rule [34] rd(mult(op_c,mult(op_d,A)),mult(op_c,A)) -> rd(unit,op_c)
% collapsed.
% Rule [63] mult(op_c,mult(op_d,mult(A,op_d))) -> rd(A,op_c) collapsed.
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [69] rd(rd(A,op_d),rd(mult(op_d,A),op_d)) -> op_c
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [70] rd(rd(rd(A,op_d),op_c),mult(op_c,A)) -> rd(unit,op_c)
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [71] mult(op_d,mult(op_c,rd(rd(unit,op_c),op_d))) -> unit
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [72] rd(rd(A,B),rd(mult(B,A),B)) -> rd(unit,B)
% Rule [69] rd(rd(A,op_d),rd(mult(op_d,A),op_d)) -> op_c collapsed.
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [73] mult(rd(unit,op_c),rd(unit,op_c)) -> rd(op_d,op_c)
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [74] rd(mult(op_c,rd(rd(unit,op_c),op_d)),op_d) -> mult(op_c,op_c)
% Current number of equations to process: 389
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [75] rd(A,rd(mult(B,mult(A,B)),B)) -> rd(unit,B)
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [76] rd(rd(op_d,op_c),rd(unit,op_c)) -> rd(unit,op_c)
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [77] rd(op_d,rd(rd(rd(op_c,op_d),op_c),op_c)) -> rd(unit,op_c)
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [78] rd(A,mult(mult(rd(unit,B),rd(A,B)),B)) -> B
% Current number of equations to process: 440
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [79] rd(mult(A,mult(B,C)),mult(A,C)) -> rd(mult(A,B),A)
% Current number of equations to process: 458
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [80] rd(mult(A,op_d),mult(op_d,op_d)) <-> rd(mult(op_d,mult(op_c,A)),op_d)
% Current number of equations to process: 473
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [81] rd(mult(op_d,mult(op_c,A)),op_d) <-> rd(mult(A,op_d),mult(op_d,op_d))
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [82] rd(mult(A,rd(B,C)),A) -> rd(mult(A,B),mult(A,C))
% Rule [31] rd(mult(op_c,rd(A,op_d)),op_c) -> mult(op_c,A) collapsed.
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [83] rd(mult(A,op_c),A) -> rd(A,mult(A,op_d))
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [84] mult(rd(unit,B),mult(B,A)) -> rd(rd(A,B),rd(unit,B))
% Rule [20] mult(rd(unit,op_c),mult(op_c,A)) -> rd(rd(A,op_d),op_c) collapsed.
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [85] rd(rd(A,op_c),rd(unit,op_c)) -> rd(rd(A,op_d),op_c)
% Rule [76] rd(rd(op_d,op_c),rd(unit,op_c)) -> rd(unit,op_c) collapsed.
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [86] mult(op_c,rd(op_d,mult(op_d,op_d))) -> rd(op_c,op_d)
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [87] mult(rd(A,mult(A,op_d)),A) -> mult(A,op_c)
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [88] mult(rd(unit,A),rd(A,mult(A,op_d))) -> rd(op_c,A)
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [89] rd(rd(op_c,A),rd(A,mult(A,op_d))) -> rd(unit,A)
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [90] rd(rd(mult(A,op_c),op_d),op_c) -> rd(A,rd(unit,op_c))
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [91] rd(rd(op_c,op_d),op_c) -> rd(unit,rd(unit,op_c))
% Rule [77] rd(op_d,rd(rd(rd(op_c,op_d),op_c),op_c)) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [92] rd(op_d,rd(rd(unit,rd(unit,op_c)),op_c)) -> rd(unit,op_c)
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [93] mult(rd(rd(A,op_d),op_c),rd(unit,op_c)) -> rd(A,op_c)
% Current number of equations to process: 666
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [94] mult(rd(A,rd(unit,op_c)),op_c) -> rd(mult(A,op_c),op_d)
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [95] rd(rd(op_d,mult(op_d,op_d)),op_c) -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [96] rd(rd(unit,rd(unit,op_c)),mult(op_d,op_c)) -> op_c
% Current number of equations to process: 707
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [97] rd(rd(unit,rd(unit,op_c)),mult(op_c,op_c)) -> rd(unit,op_c)
% Current number of equations to process: 707
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [98] mult(rd(A,op_c),rd(unit,op_c)) -> rd(mult(A,op_d),op_c)
% Rule [73] mult(rd(unit,op_c),rd(unit,op_c)) -> rd(op_d,op_c) collapsed.
% Rule [93] mult(rd(rd(A,op_d),op_c),rd(unit,op_c)) -> rd(A,op_c) collapsed.
% Current number of equations to process: 712
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [99]
% mult(mult(rd(unit,mult(A,B)),rd(mult(mult(A,C),B),mult(A,B))),mult(A,B)) ->
% mult(mult(rd(unit,B),C),B)
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [100]
% mult(mult(rd(unit,A),rd(mult(rd(B,A),mult(A,C)),A)),A) <->
% mult(mult(mult(rd(unit,A),rd(B,A)),A),C)
% Current number of equations to process: 825
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [101]
% mult(mult(mult(rd(unit,A),rd(B,A)),A),C) <->
% mult(mult(rd(unit,A),rd(mult(rd(B,A),mult(A,C)),A)),A)
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [102]
% mult(mult(rd(unit,A),rd(mult(rd(mult(A,B),A),C),A)),A) ->
% mult(B,mult(mult(rd(unit,A),rd(C,A)),A))
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [103]
% rd(mult(A,mult(B,mult(mult(rd(unit,A),rd(C,A)),A))),C) -> rd(mult(A,B),A)
% Current number of equations to process: 1015
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [104]
% mult(mult(rd(unit,A),rd(mult(mult(rd(A,B),C),B),A)),A) ->
% mult(mult(rd(unit,B),C),B)
% Current number of equations to process: 1074
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [105] mult(mult(A,rd(mult(B,C),B)),B) -> mult(mult(A,B),C)
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [106] rd(mult(mult(A,B),C),B) -> mult(A,rd(mult(B,C),B))
% Rule [57] rd(mult(mult(A,op_c),op_d),op_c) -> mult(A,rd(unit,op_c))
% collapsed.
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [107] mult(op_c,rd(A,mult(A,op_d))) -> rd(mult(op_c,rd(A,op_d)),A)
% Rule [86] mult(op_c,rd(op_d,mult(op_d,op_d))) -> rd(op_c,op_d) collapsed.
% Current number of equations to process: 1195
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [108]
% mult(op_c,mult(rd(A,op_d),mult(mult(rd(unit,op_c),rd(B,op_c)),op_c))) <->
% mult(mult(op_c,A),B)
% Current number of equations to process: 1276
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [109]
% mult(mult(op_c,A),B) <->
% mult(op_c,mult(rd(A,op_d),mult(mult(rd(unit,op_c),rd(B,op_c)),op_c)))
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [110] rd(rd(mult(A,B),A),mult(B,mult(mult(rd(unit,A),rd(unit,A)),A))) -> A
% Current number of equations to process: 1366
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [111] mult(op_d,mult(mult(mult(op_c,A),op_d),B)) -> mult(A,mult(op_d,B))
% Current number of equations to process: 1411
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [112] mult(op_d,mult(rd(mult(op_c,A),op_c),op_d)) <-> mult(mult(A,op_d),op_d)
% Current number of equations to process: 1433
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [113] mult(mult(A,op_d),op_d) <-> mult(op_d,mult(rd(mult(op_c,A),op_c),op_d))
% Current number of equations to process: 1433
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [114] mult(mult(op_d,op_d),op_d) -> mult(op_d,mult(rd(unit,op_c),op_d))
% Current number of equations to process: 1439
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [115] rd(mult(op_d,mult(rd(unit,op_c),op_d)),op_d) -> mult(op_d,op_d)
% Current number of equations to process: 1501
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [116]
% mult(op_d,mult(A,mult(op_c,rd(rd(unit,op_c),op_d)))) -> rd(mult(op_d,A),op_d)
% Current number of equations to process: 1509
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [117]
% mult(mult(op_d,op_c),mult(op_c,op_c)) -> mult(rd(op_d,mult(op_d,op_d)),op_c)
% Current number of equations to process: 1513
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [118] rd(mult(A,B),mult(mult(rd(unit,B),A),B)) -> B
% Current number of equations to process: 1556
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [119]
% mult(mult(rd(unit,mult(A,rd(unit,op_c))),rd(mult(mult(A,op_d),mult(op_c,
% rd(rd(unit,op_c),op_d))),
% mult(A,rd(unit,op_c)))),mult(A,
% rd(unit,op_c)))
% -> op_c
% Current number of equations to process: 1597
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [120] mult(rd(A,op_d),op_c) -> mult(op_c,rd(rd(mult(op_d,A),op_d),op_d))
% Current number of equations to process: 1649
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [121] mult(op_c,rd(mult(A,mult(B,op_d)),op_d)) <-> mult(mult(op_c,A),B)
% Current number of equations to process: 1670
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [122] mult(mult(op_c,A),B) <-> mult(op_c,rd(mult(A,mult(B,op_d)),op_d))
% Rule [38] mult(op_d,mult(mult(op_c,A),op_d)) -> mult(A,op_d) collapsed.
% Rule [43] mult(mult(op_c,A),op_c) -> mult(op_c,rd(A,op_d)) collapsed.
% Rule [54] rd(mult(A,op_d),mult(mult(op_c,A),op_d)) -> op_d collapsed.
% Rule [56] rd(A,mult(mult(op_c,rd(A,op_d)),op_d)) -> op_d collapsed.
% Rule [61] mult(mult(op_c,op_c),op_d) -> mult(op_c,rd(rd(unit,op_c),op_d))
% collapsed.
% Rule [111] mult(op_d,mult(mult(mult(op_c,A),op_d),B)) -> mult(A,mult(op_d,B))
% collapsed.
% Current number of equations to process: 1674
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [123] mult(op_c,mult(A,mult(B,op_d))) <-> rd(mult(mult(op_c,A),B),op_c)
% Current number of equations to process: 1697
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [124] rd(mult(mult(op_c,A),B),op_c) <-> mult(op_c,mult(A,mult(B,op_d)))
% Current number of equations to process: 1697
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [125] mult(mult(op_d,A),op_d) -> mult(op_d,mult(rd(rd(A,op_d),op_c),op_d))
% Rule [114] mult(mult(op_d,op_d),op_d) -> mult(op_d,mult(rd(unit,op_c),op_d))
% collapsed.
% Current number of equations to process: 1839
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [126] mult(mult(op_d,op_c),rd(rd(rd(unit,op_c),op_d),op_d)) -> op_c
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [127] mult(op_d,op_c) -> rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d))
% Rule [96] rd(rd(unit,rd(unit,op_c)),mult(op_d,op_c)) -> op_c collapsed.
% Rule
% [117]
% mult(mult(op_d,op_c),mult(op_c,op_c)) -> mult(rd(op_d,mult(op_d,op_d)),op_c)
% collapsed.
% Rule [126] mult(mult(op_d,op_c),rd(rd(rd(unit,op_c),op_d),op_d)) -> op_c
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% mult(mult(a,rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d))),b) = mult(a,mult(
% rd(op_c,
% rd(
% rd(
% rd(unit,op_c),op_d),op_d)),b))
%
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [128] mult(rd(unit,op_c),rd(rd(unit,rd(unit,op_c)),op_c)) -> op_d
% Current number of equations to process: 1884
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [129] rd(unit,mult(op_d,rd(rd(unit,op_c),op_d))) -> rd(op_d,mult(op_d,op_d))
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [130] rd(mult(op_d,mult(op_c,rd(A,op_d))),op_d) -> rd(A,mult(op_d,op_d))
% Current number of equations to process: 1913
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [131] mult(op_c,rd(A,mult(op_d,op_d))) -> rd(mult(op_c,rd(A,op_d)),op_d)
% Current number of equations to process: 1916
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [132] mult(rd(A,mult(op_d,op_d)),op_d) -> mult(op_d,mult(op_c,rd(A,op_d)))
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [133] mult(op_c,rd(mult(op_d,A),mult(op_d,B))) -> rd(rd(A,B),op_d)
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [134] mult(op_c,rd(op_d,mult(op_d,A))) -> rd(rd(unit,A),op_d)
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [135] rd(rd(rd(unit,A),op_d),op_c) -> rd(unit,rd(rd(A,op_d),op_c))
% Current number of equations to process: 2045
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [136] mult(rd(mult(A,B),mult(A,C)),A) -> mult(A,rd(B,C))
% Current number of equations to process: 2057
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [137] mult(rd(A,mult(A,B)),A) -> mult(A,rd(unit,B))
% Rule [87] mult(rd(A,mult(A,op_d)),A) -> mult(A,op_c) collapsed.
% Current number of equations to process: 2097
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [138] mult(rd(unit,mult(op_c,A)),op_c) -> mult(op_c,rd(op_d,A))
% Current number of equations to process: 2096
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [139] rd(rd(A,op_c),mult(rd(A,op_c),op_d)) -> rd(A,rd(A,op_c))
% Current number of equations to process: 2304
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [140] mult(rd(A,mult(A,op_d)),mult(A,B)) -> mult(A,mult(op_c,B))
% Current number of equations to process: 2322
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [141]
% mult(op_c,rd(rd(op_d,mult(op_d,op_d)),op_d)) ->
% mult(op_c,rd(rd(rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)),op_d),op_d))
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [142]
% mult(rd(rd(A,op_d),A),rd(A,op_d)) ->
% mult(op_c,rd(rd(mult(op_d,A),op_d),op_d))
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [143] rd(rd(A,rd(unit,op_c)),mult(op_d,mult(A,op_c))) -> op_c
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [144] rd(rd(mult(A,op_d),op_c),rd(A,op_c)) -> rd(rd(A,op_c),A)
% Current number of equations to process: 2469
% Current number of ordered equations: 0
% Current number of rules: 93
% Rule [41] mult(mult(A,rd(unit,op_c)),op_c) -> mult(mult(A,op_c),op_d) is composed into
% [41]
% mult(mult(A,rd(unit,op_c)),op_c) ->
% mult(mult(A,op_d),mult(op_c,rd(mult(op_c,mult(op_d,op_d)),op_d)))
% New rule produced :
% [145]
% mult(mult(A,B),op_d) <->
% mult(mult(A,op_d),mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)))
% Rule
% [26]
% mult(mult(A,op_c),op_d) ->
% mult(mult(A,op_d),mult(op_c,rd(rd(unit,op_c),op_d))) collapsed.
% Current number of equations to process: 2494
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [146]
% mult(mult(A,op_d),mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d))) <->
% mult(mult(A,B),op_d)
% Current number of equations to process: 2494
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [147] mult(mult(op_c,op_c),A) -> mult(op_c,rd(rd(mult(op_c,A),op_c),op_d))
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [148] mult(mult(A,rd(B,mult(B,op_d))),B) -> mult(mult(A,B),op_c)
% Current number of equations to process: 2664
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [149] mult(rd(A,C),rd(mult(C,B),C)) -> rd(mult(A,B),C)
% Rule [67] mult(rd(unit,B),rd(mult(B,A),B)) -> rd(A,B) collapsed.
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [150]
% mult(op_d,rd(mult(op_c,mult(op_c,op_c)),op_c)) -> rd(op_d,mult(op_d,op_d))
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [151] rd(rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)),op_c) -> op_d
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [152] mult(rd(unit,op_c),rd(unit,rd(unit,op_c))) -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 2854
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [153] rd(rd(rd(unit,A),op_d),rd(op_d,mult(op_d,A))) -> op_c
% Current number of equations to process: 2870
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [154] mult(rd(unit,rd(rd(A,op_d),op_c)),op_c) -> rd(rd(unit,A),op_d)
% Current number of equations to process: 2881
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [155] mult(rd(unit,rd(A,op_c)),op_c) -> rd(rd(unit,mult(A,op_d)),op_d)
% Rule [154] mult(rd(unit,rd(rd(A,op_d),op_c)),op_c) -> rd(rd(unit,A),op_d)
% collapsed.
% Current number of equations to process: 2883
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [156] mult(rd(rd(A,op_c),A),rd(A,op_c)) -> rd(mult(A,op_d),op_c)
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [157] mult(rd(A,B),rd(B,mult(B,op_d))) -> rd(mult(A,op_c),B)
% Rule [88] mult(rd(unit,A),rd(A,mult(A,op_d))) -> rd(op_c,A) collapsed.
% Current number of equations to process: 2944
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [158] mult(rd(unit,rd(unit,rd(unit,op_c))),op_c) -> rd(rd(unit,op_c),op_d)
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [159] mult(mult(rd(A,C),B),mult(mult(rd(unit,B),C),B)) -> mult(A,B)
% Current number of equations to process: 3018
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [160] mult(mult(op_c,A),mult(mult(rd(unit,A),op_d),A)) -> A
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [161] rd(A,mult(mult(rd(unit,A),op_d),A)) -> mult(op_c,A)
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [162]
% mult(mult(rd(unit,rd(mult(A,B),A)),rd(mult(A,mult(B,C)),rd(mult(A,B),A))),
% rd(mult(A,B),A)) -> mult(A,C)
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [163] rd(mult(mult(A,B),C),mult(mult(rd(unit,C),B),C)) -> mult(A,C)
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [164]
% mult(rd(C,A),mult(A,mult(mult(rd(unit,mult(mult(rd(unit,A),rd(C,A)),A)),
% rd(B,mult(mult(rd(unit,A),rd(C,A)),A))),mult(
% mult(
% rd(unit,A),
% rd(C,A)),A))))
% -> mult(A,B)
% Current number of equations to process: 3421
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [165]
% rd(rd(mult(mult(rd(unit,rd(unit,op_c)),rd(A,rd(unit,op_c))),rd(unit,op_c)),op_d),op_c)
% -> mult(rd(unit,rd(unit,op_c)),A)
% Current number of equations to process: 3518
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [166] mult(op_d,mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d))) -> mult(A,op_d)
% Current number of equations to process: 3541
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [167]
% mult(mult(rd(A,op_c),op_d),mult(op_c,rd(rd(unit,op_c),op_d))) -> mult(A,op_d)
% Current number of equations to process: 3578
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [168] rd(mult(op_d,mult(rd(A,op_c),op_d)),op_d) -> mult(op_d,mult(A,op_d))
% Rule [115] rd(mult(op_d,mult(rd(unit,op_c),op_d)),op_d) -> mult(op_d,op_d)
% collapsed.
% Current number of equations to process: 3586
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [169] mult(rd(unit,A),mult(B,A)) -> rd(mult(rd(unit,A),B),rd(unit,A))
% Current number of equations to process: 3642
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [170] mult(A,mult(mult(B,rd(unit,A)),A)) -> rd(mult(A,mult(B,A)),A)
% Current number of equations to process: 3736
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [171]
% mult(mult(rd(unit,rd(unit,op_c)),rd(rd(mult(op_c,A),op_d),op_c)),rd(unit,op_c))
% -> rd(mult(op_c,mult(op_c,A)),op_c)
% Current number of equations to process: 3796
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [172] mult(mult(rd(A,mult(op_c,B)),op_c),rd(B,op_d)) -> mult(A,op_c)
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [173] mult(rd(A,mult(op_c,B)),op_c) -> rd(mult(A,op_c),rd(B,op_d))
% Rule [138] mult(rd(unit,mult(op_c,A)),op_c) -> mult(op_c,rd(op_d,A))
% collapsed.
% Rule [172] mult(mult(rd(A,mult(op_c,B)),op_c),rd(B,op_d)) -> mult(A,op_c)
% collapsed.
% Current number of equations to process: 3841
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [174] mult(op_c,rd(op_d,A)) -> rd(op_c,rd(A,op_d))
% Rule [134] mult(op_c,rd(op_d,mult(op_d,A))) -> rd(rd(unit,A),op_d) collapsed.
% Current number of equations to process: 3841
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [175] rd(op_c,rd(mult(op_d,A),op_d)) -> rd(rd(unit,A),op_d)
% Current number of equations to process: 3840
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [176] mult(op_c,rd(unit,A)) -> rd(mult(op_c,op_c),rd(A,op_d))
% Current number of equations to process: 3878
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [177] rd(rd(op_c,rd(A,op_d)),rd(op_d,A)) -> op_c
% Current number of equations to process: 3892
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [178] rd(unit,mult(op_c,A)) -> rd(rd(op_c,rd(A,op_d)),op_c)
% Rule [65] rd(unit,mult(op_c,rd(rd(unit,op_c),op_d))) -> op_d collapsed.
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [179] rd(rd(op_c,A),rd(op_d,mult(A,op_d))) -> op_c
% Current number of equations to process: 3968
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [180] rd(unit,rd(mult(op_c,A),op_c)) -> rd(rd(op_c,A),op_c)
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [181] mult(rd(A,rd(mult(op_c,B),op_c)),op_c) -> rd(mult(A,op_c),B)
% Current number of equations to process: 4081
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [182] rd(rd(mult(A,op_c),rd(B,op_d)),op_c) <-> rd(A,mult(op_c,B))
% Current number of equations to process: 4080
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [183] rd(A,mult(op_c,B)) <-> rd(rd(mult(A,op_c),rd(B,op_d)),op_c)
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [184] mult(op_c,rd(A,B)) <-> rd(mult(op_c,rd(A,op_d)),rd(B,op_d))
% Rule [107] mult(op_c,rd(A,mult(A,op_d))) -> rd(mult(op_c,rd(A,op_d)),A)
% collapsed.
% Rule [131] mult(op_c,rd(A,mult(op_d,op_d))) -> rd(mult(op_c,rd(A,op_d)),op_d)
% collapsed.
% Rule [133] mult(op_c,rd(mult(op_d,A),mult(op_d,B))) -> rd(rd(A,B),op_d)
% collapsed.
% Current number of equations to process: 4080
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [185] rd(mult(op_c,rd(A,op_d)),rd(B,op_d)) <-> mult(op_c,rd(A,B))
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [186] rd(rd(mult(op_c,op_c),rd(A,op_d)),rd(unit,A)) -> op_c
% Current number of equations to process: 4079
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [187] mult(rd(rd(op_c,rd(A,op_d)),op_c),mult(op_c,A)) -> unit
% Current number of equations to process: 4077
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [188] rd(A,rd(mult(op_c,B),op_c)) <-> rd(rd(mult(A,op_c),B),op_c)
% Current number of equations to process: 4084
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [189] rd(rd(mult(A,op_c),B),op_c) <-> rd(A,rd(mult(op_c,B),op_c))
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [190] rd(rd(A,op_c),mult(op_c,B)) <-> rd(rd(A,rd(B,op_d)),op_c)
% Rule [70] rd(rd(rd(A,op_d),op_c),mult(op_c,A)) -> rd(unit,op_c) collapsed.
% Current number of equations to process: 4118
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [191] rd(rd(A,rd(B,op_d)),op_c) <-> rd(rd(A,op_c),mult(op_c,B))
% Current number of equations to process: 4118
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [192] mult(op_c,rd(mult(op_d,A),B)) -> rd(rd(A,op_d),rd(B,op_d))
% Rule [62] mult(op_c,rd(mult(op_d,A),op_d)) -> rd(A,op_d) collapsed.
% Current number of equations to process: 4257
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [193] mult(op_c,rd(mult(A,op_d),B)) -> rd(mult(op_c,A),rd(B,op_d))
% Current number of equations to process: 4258
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [194] rd(rd(mult(op_c,op_c),A),rd(unit,mult(A,op_d))) -> op_c
% Current number of equations to process: 4292
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [195] rd(A,rd(mult(op_c,A),op_c)) <-> rd(rd(A,mult(A,op_d)),op_c)
% Current number of equations to process: 4376
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [196] rd(rd(A,mult(A,op_d)),op_c) <-> rd(A,rd(mult(op_c,A),op_c))
% Current number of equations to process: 4376
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [197] rd(rd(A,B),op_c) <-> rd(rd(A,op_c),rd(mult(op_c,B),op_c))
% Current number of equations to process: 4561
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [198] rd(rd(A,op_c),rd(mult(op_c,B),op_c)) <-> rd(rd(A,B),op_c)
% Current number of equations to process: 4561
% Current number of ordered equations: 0
% Current number of rules: 133
% Rule [147]
% mult(mult(op_c,op_c),A) -> mult(op_c,rd(rd(mult(op_c,A),op_c),op_d)) is composed into
% [147]
% mult(mult(op_c,op_c),A) ->
% mult(op_c,rd(rd(mult(op_c,A),op_d),rd(mult(op_d,op_c),op_d)))
% New rule produced :
% [199] rd(rd(A,B),op_d) <-> rd(rd(A,op_d),rd(mult(op_d,B),op_d))
% Current number of equations to process: 4560
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [200] rd(rd(A,op_d),rd(mult(op_d,B),op_d)) <-> rd(rd(A,B),op_d)
% Current number of equations to process: 4560
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [201] rd(rd(A,op_d),mult(op_c,A)) -> rd(rd(rd(A,op_d),A),op_c)
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [202] rd(rd(op_d,op_c),rd(rd(unit,op_c),op_c)) -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 4674
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [203] rd(A,rd(mult(op_d,B),op_d)) <-> rd(rd(mult(A,op_d),B),op_d)
% Current number of equations to process: 4792
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [204] rd(rd(mult(A,op_d),B),op_d) <-> rd(A,rd(mult(op_d,B),op_d))
% Current number of equations to process: 4792
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [205] rd(unit,rd(mult(op_d,A),op_d)) -> rd(rd(op_d,A),op_d)
% Current number of equations to process: 4792
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [206] mult(rd(A,rd(mult(op_d,B),op_d)),op_d) -> rd(mult(A,op_d),B)
% Current number of equations to process: 4990
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [207]
% mult(rd(unit,op_c),rd(A,op_d)) -> rd(rd(rd(mult(op_d,A),op_d),op_d),op_c)
% Current number of equations to process: 1435
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [208] rd(mult(op_c,rd(mult(A,B),op_d)),rd(B,op_d)) -> mult(op_c,A)
% Current number of equations to process: 1466
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [209]
% mult(rd(unit,op_c),rd(rd(A,op_d),op_c)) -> rd(rd(mult(op_d,A),op_d),op_c)
% Current number of equations to process: 1549
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [210]
% mult(op_c,mult(op_c,rd(rd(unit,op_c),op_d))) ->
% rd(mult(op_c,mult(op_c,op_c)),op_c)
% Current number of equations to process: 1585
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [211] rd(mult(A,B),mult(B,B)) <-> rd(mult(B,mult(rd(unit,B),A)),B)
% Current number of equations to process: 1611
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [212] rd(mult(B,mult(rd(unit,B),A)),B) <-> rd(mult(A,B),mult(B,B))
% Current number of equations to process: 1611
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [213] rd(rd(rd(A,B),rd(unit,B)),mult(B,A)) -> rd(unit,B)
% Current number of equations to process: 1744
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [214] rd(rd(unit,rd(unit,A)),mult(A,A)) -> rd(unit,A)
% Rule [97] rd(rd(unit,rd(unit,op_c)),mult(op_c,op_c)) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 1772
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [215]
% mult(rd(unit,rd(unit,op_c)),rd(op_d,op_c)) -> rd(unit,rd(unit,rd(unit,op_c)))
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [216] rd(rd(unit,op_c),rd(op_d,rd(unit,op_c))) -> rd(rd(op_d,op_c),op_d)
% Current number of equations to process: 1895
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [217]
% rd(rd(rd(op_d,mult(op_d,op_d)),op_d),op_c) ->
% rd(rd(rd(rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)),op_d),op_d),op_c)
% Current number of equations to process: 1908
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [218] rd(rd(op_c,A),rd(unit,A)) -> rd(unit,rd(rd(op_d,A),rd(unit,A)))
% Current number of equations to process: 1928
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [219]
% rd(rd(mult(op_c,rd(A,op_d)),op_d),op_c) -> rd(mult(op_c,A),rd(unit,op_c))
% Current number of equations to process: 1950
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [220] rd(rd(A,rd(unit,op_c)),mult(op_c,mult(A,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 1973
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [221] rd(A,mult(A,rd(unit,op_c))) -> rd(mult(A,rd(op_c,op_d)),mult(A,op_c))
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [222]
% rd(rd(rd(op_c,op_d),op_d),op_c) -> rd(rd(unit,rd(unit,op_c)),rd(unit,op_c))
% Current number of equations to process: 2031
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [223] mult(mult(rd(A,rd(mult(B,C),B)),B),C) -> mult(A,B)
% Current number of equations to process: 2045
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [224] mult(rd(A,rd(mult(B,C),B)),B) -> rd(mult(A,B),C)
% Rule [181] mult(rd(A,rd(mult(op_c,B),op_c)),op_c) -> rd(mult(A,op_c),B)
% collapsed.
% Rule [206] mult(rd(A,rd(mult(op_d,B),op_d)),op_d) -> rd(mult(A,op_d),B)
% collapsed.
% Rule [223] mult(mult(rd(A,rd(mult(B,C),B)),B),C) -> mult(A,B) collapsed.
% Current number of equations to process: 2072
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [225] rd(A,rd(mult(B,C),B)) <-> rd(rd(mult(A,B),C),B)
% Rule [75] rd(A,rd(mult(B,mult(A,B)),B)) -> rd(unit,B) collapsed.
% Rule [188] rd(A,rd(mult(op_c,B),op_c)) <-> rd(rd(mult(A,op_c),B),op_c)
% collapsed.
% Rule [203] rd(A,rd(mult(op_d,B),op_d)) <-> rd(rd(mult(A,op_d),B),op_d)
% collapsed.
% Current number of equations to process: 2103
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced : [226] rd(rd(mult(A,B),C),B) <-> rd(A,rd(mult(B,C),B))
% Rule [189] rd(rd(mult(A,op_c),B),op_c) <-> rd(A,rd(mult(op_c,B),op_c))
% collapsed.
% Rule [204] rd(rd(mult(A,op_d),B),op_d) <-> rd(A,rd(mult(op_d,B),op_d))
% collapsed.
% Current number of equations to process: 2103
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [227] mult(rd(A,rd(B,mult(B,op_d))),B) -> rd(mult(A,B),op_c)
% Current number of equations to process: 2175
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [228] rd(A,rd(B,mult(B,op_d))) <-> rd(rd(mult(A,B),op_c),B)
% Current number of equations to process: 2248
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [229] rd(rd(mult(A,B),op_c),B) <-> rd(A,rd(B,mult(B,op_d)))
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [230] rd(unit,rd(mult(A,B),A)) -> rd(rd(A,B),A)
% Rule
% [162]
% mult(mult(rd(unit,rd(mult(A,B),A)),rd(mult(A,mult(B,C)),rd(mult(A,B),A))),
% rd(mult(A,B),A)) -> mult(A,C) collapsed.
% Rule [180] rd(unit,rd(mult(op_c,A),op_c)) -> rd(rd(op_c,A),op_c) collapsed.
% Rule [205] rd(unit,rd(mult(op_d,A),op_d)) -> rd(rd(op_d,A),op_d) collapsed.
% Current number of equations to process: 2357
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [231] rd(rd(A,B),C) <-> rd(rd(A,C),rd(mult(C,B),C))
% Rule [197] rd(rd(A,B),op_c) <-> rd(rd(A,op_c),rd(mult(op_c,B),op_c))
% collapsed.
% Rule [199] rd(rd(A,B),op_d) <-> rd(rd(A,op_d),rd(mult(op_d,B),op_d))
% collapsed.
% Current number of equations to process: 2458
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced : [232] rd(rd(A,C),rd(mult(C,B),C)) <-> rd(rd(A,B),C)
% Rule [72] rd(rd(A,B),rd(mult(B,A),B)) -> rd(unit,B) collapsed.
% Rule [198] rd(rd(A,op_c),rd(mult(op_c,B),op_c)) <-> rd(rd(A,B),op_c)
% collapsed.
% Rule [200] rd(rd(A,op_d),rd(mult(op_d,B),op_d)) <-> rd(rd(A,B),op_d)
% collapsed.
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [233] rd(unit,rd(A,mult(A,op_d))) -> rd(rd(A,op_c),A)
% Current number of equations to process: 2635
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [234] rd(op_c,rd(op_d,mult(op_d,op_d))) -> rd(rd(unit,op_c),op_d)
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [235] rd(rd(A,B),rd(B,mult(B,op_d))) <-> rd(rd(A,op_c),B)
% Rule [89] rd(rd(op_c,A),rd(A,mult(A,op_d))) -> rd(unit,A) collapsed.
% Current number of equations to process: 2794
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced : [236] rd(rd(A,op_c),B) <-> rd(rd(A,B),rd(B,mult(B,op_d)))
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [237] rd(unit,rd(A,mult(A,rd(unit,A)))) -> rd(A,mult(A,A))
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [238] rd(rd(unit,op_c),rd(op_d,op_c)) -> rd(unit,rd(rd(op_d,op_c),op_d))
% Current number of equations to process: 3243
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [239]
% rd(mult(A,rd(op_d,mult(op_d,op_d))),op_c) -> rd(mult(A,op_d),rd(unit,op_c))
% Current number of equations to process: 3276
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [240]
% mult(op_d,mult(mult(rd(unit,op_c),op_d),A)) ->
% mult(mult(op_d,op_d),mult(op_d,A))
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [241]
% mult(mult(A,op_d),mult(rd(unit,op_c),op_d)) ->
% mult(mult(A,op_d),rd(rd(rd(mult(op_d,mult(op_d,op_d)),op_d),op_d),op_c))
% Current number of equations to process: 3343
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [242]
% rd(mult(op_c,mult(rd(unit,op_c),rd(op_d,mult(op_d,op_d)))),op_c) ->
% rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d))
% Current number of equations to process: 3407
% Current number of ordered equations: 0
% Current number of rules: 159
% Rule [148] mult(mult(A,rd(B,mult(B,op_d))),B) -> mult(mult(A,B),op_c) is composed into
% [148]
% mult(mult(A,rd(B,mult(B,op_d))),B) ->
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,B),op_d)),op_d),op_d))
% Rule [109]
% mult(mult(op_c,A),B) <->
% mult(op_c,mult(rd(A,op_d),mult(mult(rd(unit,op_c),rd(B,op_c)),op_c))) is composed into
% [109]
% mult(mult(op_c,A),B) <->
% mult(op_c,mult(rd(A,op_d),mult(op_c,rd(rd(mult(op_d,mult(mult(rd(unit,op_c),
% rd(B,op_c)),op_d)),op_d),op_d))))
% New rule produced :
% [243] mult(A,op_c) <-> mult(op_c,rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d))
% Rule
% [41]
% mult(mult(A,rd(unit,op_c)),op_c) ->
% mult(mult(A,op_d),mult(op_c,rd(mult(op_c,mult(op_d,op_d)),op_d))) collapsed.
% Rule [50] mult(mult(A,mult(op_c,B)),op_c) -> mult(mult(A,op_c),rd(B,op_d))
% collapsed.
% Rule [94] mult(rd(A,rd(unit,op_c)),op_c) -> rd(mult(A,op_c),op_d) collapsed.
% Rule
% [108]
% mult(op_c,mult(rd(A,op_d),mult(mult(rd(unit,op_c),rd(B,op_c)),op_c))) <->
% mult(mult(op_c,A),B) collapsed.
% Rule [120] mult(rd(A,op_d),op_c) -> mult(op_c,rd(rd(mult(op_d,A),op_d),op_d))
% collapsed.
% Rule [155] mult(rd(unit,rd(A,op_c)),op_c) -> rd(rd(unit,mult(A,op_d)),op_d)
% collapsed.
% Rule
% [158] mult(rd(unit,rd(unit,rd(unit,op_c))),op_c) -> rd(rd(unit,op_c),op_d)
% collapsed.
% Rule [173] mult(rd(A,mult(op_c,B)),op_c) -> rd(mult(A,op_c),rd(B,op_d))
% collapsed.
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [244] rd(mult(op_c,rd(mult(A,mult(B,op_d)),op_d)),B) -> mult(op_c,A)
% Current number of equations to process: 3499
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [245]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_c,rd(rd(A,op_d),op_c)),op_d)),op_d),op_d))
% -> rd(mult(op_c,op_c),rd(mult(op_d,A),op_d))
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [246]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_c,rd(A,op_d)),op_d)),op_d),op_d)) ->
% mult(op_c,rd(rd(op_d,A),op_d))
% Current number of equations to process: 3610
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [247] mult(rd(rd(A,B),A),rd(A,B)) -> mult(rd(A,B),rd(unit,B))
% Rule
% [142]
% mult(rd(rd(A,op_d),A),rd(A,op_d)) ->
% mult(op_c,rd(rd(mult(op_d,A),op_d),op_d)) collapsed.
% Rule [156] mult(rd(rd(A,op_c),A),rd(A,op_c)) -> rd(mult(A,op_d),op_c)
% collapsed.
% Current number of equations to process: 3650
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [248]
% mult(op_c,rd(rd(mult(op_d,mult(rd(unit,rd(A,op_d)),op_d)),op_d),op_d)) ->
% rd(op_c,rd(rd(mult(op_d,A),op_d),op_d))
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [249] mult(rd(A,rd(A,op_c)),mult(rd(A,op_c),op_d)) -> rd(A,op_c)
% Current number of equations to process: 3811
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [250]
% rd(rd(mult(op_c,rd(rd(mult(op_c,A),op_d),op_d)),rd(rd(op_d,mult(op_d,op_d)),op_d)),A)
% -> mult(op_c,op_c)
% Current number of equations to process: 3875
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [251] rd(rd(mult(A,B),C),rd(mult(C,B),C)) -> rd(A,C)
% Current number of equations to process: 3910
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [252]
% mult(rd(A,op_d),mult(op_d,op_d)) <->
% rd(mult(A,mult(rd(unit,op_c),op_d)),op_d)
% Current number of equations to process: 4040
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [253]
% rd(mult(A,mult(rd(unit,op_c),op_d)),op_d) <->
% mult(rd(A,op_d),mult(op_d,op_d))
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [254]
% mult(rd(op_c,op_d),mult(op_d,op_d)) -> rd(rd(op_c,mult(op_c,op_c)),op_d)
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [255]
% rd(rd(rd(mult(op_c,mult(op_c,op_c)),op_d),op_c),rd(unit,rd(unit,op_c))) ->
% rd(op_c,op_d)
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [256] rd(rd(op_d,rd(unit,op_c)),rd(unit,rd(unit,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 4175
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [257]
% rd(rd(op_d,rd(unit,op_c)),rd(unit,op_c)) -> rd(unit,rd(rd(op_d,op_c),op_d))
% Current number of equations to process: 4188
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [258]
% mult(op_c,rd(rd(mult(op_d,mult(rd(unit,rd(A,rd(unit,op_c))),op_d)),op_d),op_d))
% -> rd(rd(unit,mult(A,op_c)),op_d)
% Current number of equations to process: 4202
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [259] rd(rd(mult(A,op_c),B),rd(B,mult(B,op_d))) -> rd(A,B)
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [260] rd(rd(rd(op_d,A),op_d),op_c) -> rd(rd(unit,op_c),rd(rd(A,op_d),op_c))
% Rule
% [217]
% rd(rd(rd(op_d,mult(op_d,op_d)),op_d),op_c) ->
% rd(rd(rd(rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)),op_d),op_d),op_c)
% collapsed.
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [261]
% mult(rd(unit,op_c),rd(op_c,rd(A,op_d))) ->
% rd(rd(unit,op_c),rd(rd(A,op_d),op_c))
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [262] mult(rd(unit,op_c),rd(op_c,A)) -> rd(rd(unit,op_c),rd(A,op_c))
% Rule
% [261]
% mult(rd(unit,op_c),rd(op_c,rd(A,op_d))) ->
% rd(rd(unit,op_c),rd(rd(A,op_d),op_c)) collapsed.
% Current number of equations to process: 4321
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [263] rd(op_c,rd(mult(op_d,A),mult(op_d,B))) <-> rd(rd(unit,rd(A,B)),op_d)
% Current number of equations to process: 4349
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [264] rd(rd(unit,rd(A,B)),op_d) <-> rd(op_c,rd(mult(op_d,A),mult(op_d,B)))
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [265] rd(op_c,rd(op_d,mult(op_d,A))) -> rd(rd(unit,rd(unit,A)),op_d)
% Rule [234] rd(op_c,rd(op_d,mult(op_d,op_d))) -> rd(rd(unit,op_c),op_d)
% collapsed.
% Current number of equations to process: 4355
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [266]
% rd(rd(unit,mult(rd(A,op_c),op_d)),op_d) -> rd(op_c,mult(op_d,mult(A,op_d)))
% Current number of equations to process: 4467
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [267]
% mult(op_c,rd(rd(mult(op_d,mult(rd(mult(op_c,op_c),rd(op_c,op_d)),op_d)),op_d),op_d))
% -> mult(op_c,rd(rd(unit,op_c),op_d))
% Current number of equations to process: 4511
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [268] rd(rd(op_c,rd(rd(op_d,A),op_d)),op_c) -> rd(unit,rd(op_c,rd(A,op_d)))
% Current number of equations to process: 4540
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [269] rd(rd(op_c,mult(op_d,A)),op_c) -> rd(unit,rd(rd(rd(A,op_d),op_c),op_c))
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [270]
% rd(rd(rd(mult(op_c,op_c),rd(rd(rd(mult(op_d,mult(mult(rd(unit,op_c),A),op_d)),op_d),op_d),op_d)),op_c),op_c)
% -> rd(unit,A)
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [271]
% rd(unit,rd(rd(mult(op_c,A),op_c),op_c)) <-> rd(rd(op_c,mult(A,op_d)),op_c)
% Current number of equations to process: 4616
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [272]
% rd(rd(op_c,mult(A,op_d)),op_c) <-> rd(unit,rd(rd(mult(op_c,A),op_c),op_c))
% Current number of equations to process: 4616
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [273] rd(rd(op_c,rd(A,B)),op_c) <-> rd(unit,rd(mult(op_c,A),mult(op_c,B)))
% Current number of equations to process: 4691
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [274] rd(unit,rd(mult(op_c,A),mult(op_c,B))) <-> rd(rd(op_c,rd(A,B)),op_c)
% Current number of equations to process: 4691
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [275] rd(unit,rd(op_c,mult(op_c,A))) -> rd(rd(op_c,rd(unit,A)),op_c)
% Current number of equations to process: 4798
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [276] mult(rd(rd(A,rd(B,op_d)),op_c),mult(op_c,B)) -> rd(A,op_c)
% Rule [187] mult(rd(rd(op_c,rd(A,op_d)),op_c),mult(op_c,A)) -> unit collapsed.
% Current number of equations to process: 4899
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [277] mult(rd(A,op_c),mult(op_c,B)) -> rd(mult(A,rd(B,op_d)),op_c)
% Rule [276] mult(rd(rd(A,rd(B,op_d)),op_c),mult(op_c,B)) -> rd(A,op_c)
% collapsed.
% Current number of equations to process: 4909
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [278] rd(rd(mult(A,rd(B,op_d)),op_c),mult(op_c,B)) -> rd(A,op_c)
% Current number of equations to process: 4983
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [279] rd(op_d,rd(rd(unit,op_c),rd(op_c,mult(op_c,op_c)))) -> rd(unit,op_c)
% Current number of equations to process: 1376
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [280] mult(rd(op_d,rd(unit,op_c)),rd(rd(unit,op_c),op_c)) -> rd(op_d,op_c)
% Current number of equations to process: 1393
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [281] rd(unit,rd(mult(op_d,A),mult(op_d,B))) <-> rd(rd(op_d,rd(A,B)),op_d)
% Current number of equations to process: 1415
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [282] rd(rd(op_d,rd(A,B)),op_d) <-> rd(unit,rd(mult(op_d,A),mult(op_d,B)))
% Current number of equations to process: 1415
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [283] rd(unit,rd(op_d,mult(op_d,A))) -> rd(rd(op_d,rd(unit,A)),op_d)
% Current number of equations to process: 1427
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [284]
% rd(rd(op_d,mult(rd(A,op_c),op_d)),op_d) -> rd(unit,mult(op_d,mult(A,op_d)))
% Current number of equations to process: 1576
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [285]
% mult(op_c,mult(A,rd(unit,op_c))) -> rd(mult(op_c,mult(A,op_c)),rd(op_c,op_d))
% Current number of equations to process: 1625
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [286]
% mult(rd(unit,op_c),rd(A,op_c)) <-> rd(rd(mult(op_d,mult(A,op_d)),op_d),op_c)
% Current number of equations to process: 1688
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [287]
% rd(rd(mult(op_d,mult(A,op_d)),op_d),op_c) <-> mult(rd(unit,op_c),rd(A,op_c))
% Current number of equations to process: 1688
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [288]
% mult(op_c,mult(rd(unit,op_c),A)) <->
% rd(mult(op_c,rd(rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d),op_d)),rd(op_c,op_d))
% Current number of equations to process: 1772
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [289]
% rd(mult(op_c,rd(rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d),op_d)),rd(op_c,op_d))
% <-> mult(op_c,mult(rd(unit,op_c),A))
% Current number of equations to process: 1772
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [290] mult(rd(mult(A,B),mult(B,B)),B) -> mult(B,mult(rd(unit,B),A))
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [291]
% rd(rd(op_c,rd(rd(unit,op_c),op_d)),op_c) -> rd(rd(unit,rd(unit,op_c)),op_c)
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [292] rd(op_c,rd(rd(unit,op_c),op_d)) -> rd(unit,rd(unit,op_c))
% Rule
% [291]
% rd(rd(op_c,rd(rd(unit,op_c),op_d)),op_c) -> rd(rd(unit,rd(unit,op_c)),op_c)
% collapsed.
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [293] mult(rd(unit,rd(unit,op_c)),rd(rd(unit,op_c),op_d)) -> op_c
% Current number of equations to process: 2017
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [294] rd(rd(unit,rd(unit,op_c)),rd(op_d,rd(unit,op_c))) -> op_c
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [295] rd(rd(A,rd(unit,B)),mult(B,mult(A,B))) -> rd(unit,B)
% Rule [220] rd(rd(A,rd(unit,op_c)),mult(op_c,mult(A,op_c))) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [296] mult(rd(rd(op_d,op_c),op_d),rd(op_d,rd(unit,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 2165
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [297] rd(rd(mult(A,rd(unit,op_c)),op_d),op_c) -> rd(A,rd(unit,rd(unit,op_c)))
% Rule
% [165]
% rd(rd(mult(mult(rd(unit,rd(unit,op_c)),rd(A,rd(unit,op_c))),rd(unit,op_c)),op_d),op_c)
% -> mult(rd(unit,rd(unit,op_c)),A) collapsed.
% Current number of equations to process: 2191
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [298] rd(rd(B,mult(mult(rd(unit,B),A),B)),B) -> rd(unit,A)
% Current number of equations to process: 2232
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [299] rd(B,mult(mult(rd(unit,B),A),B)) -> mult(rd(unit,A),B)
% Rule [161] rd(A,mult(mult(rd(unit,A),op_d),A)) -> mult(op_c,A) collapsed.
% Rule [298] rd(rd(B,mult(mult(rd(unit,B),A),B)),B) -> rd(unit,A) collapsed.
% Current number of equations to process: 2241
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [300] rd(rd(rd(A,B),B),rd(A,B)) -> rd(unit,rd(A,rd(A,B)))
% Current number of equations to process: 2290
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [301] rd(unit,rd(mult(A,B),mult(A,C))) <-> rd(rd(A,rd(B,C)),A)
% Rule
% [274] rd(unit,rd(mult(op_c,A),mult(op_c,B))) <-> rd(rd(op_c,rd(A,B)),op_c)
% collapsed.
% Rule
% [281] rd(unit,rd(mult(op_d,A),mult(op_d,B))) <-> rd(rd(op_d,rd(A,B)),op_d)
% collapsed.
% Current number of equations to process: 2442
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [302] rd(rd(A,rd(B,C)),A) <-> rd(unit,rd(mult(A,B),mult(A,C)))
% Rule
% [273] rd(rd(op_c,rd(A,B)),op_c) <-> rd(unit,rd(mult(op_c,A),mult(op_c,B)))
% collapsed.
% Rule
% [282] rd(rd(op_d,rd(A,B)),op_d) <-> rd(unit,rd(mult(op_d,A),mult(op_d,B)))
% collapsed.
% Current number of equations to process: 2442
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [303] rd(unit,rd(A,mult(A,B))) -> rd(rd(A,rd(unit,B)),A)
% Rule [233] rd(unit,rd(A,mult(A,op_d))) -> rd(rd(A,op_c),A) collapsed.
% Rule [237] rd(unit,rd(A,mult(A,rd(unit,A)))) -> rd(A,mult(A,A)) collapsed.
% Rule [275] rd(unit,rd(op_c,mult(op_c,A))) -> rd(rd(op_c,rd(unit,A)),op_c)
% collapsed.
% Rule [283] rd(unit,rd(op_d,mult(op_d,A))) -> rd(rd(op_d,rd(unit,A)),op_d)
% collapsed.
% Current number of equations to process: 2498
% Current number of ordered equations: 0
% Current number of rules: 192
% Rule [254]
% mult(rd(op_c,op_d),mult(op_d,op_d)) -> rd(rd(op_c,mult(op_c,op_c)),op_d) is composed into
% [254]
% mult(rd(op_c,op_d),mult(op_d,op_d)) ->
% rd(rd(rd(op_c,rd(unit,rd(unit,op_c))),op_c),op_d)
% Rule [150]
% mult(op_d,rd(mult(op_c,mult(op_c,op_c)),op_c)) ->
% rd(op_d,mult(op_d,op_d)) is composed into [150]
% mult(op_d,rd(mult(op_c,
% mult(op_c,op_c)),op_c))
% ->
% rd(rd(op_d,rd(unit,rd(unit,op_d))),op_d)
% Rule [129]
% rd(unit,mult(op_d,rd(rd(unit,op_c),op_d))) -> rd(op_d,mult(op_d,op_d)) is composed into
% [129]
% rd(unit,mult(op_d,rd(rd(unit,op_c),op_d))) ->
% rd(rd(op_d,rd(unit,rd(unit,op_d))),op_d)
% New rule produced : [304] rd(A,mult(A,A)) -> rd(rd(A,rd(unit,rd(unit,A))),A)
% Rule [95] rd(rd(op_d,mult(op_d,op_d)),op_c) -> rd(op_d,rd(unit,op_c))
% collapsed.
% Rule
% [141]
% mult(op_c,rd(rd(op_d,mult(op_d,op_d)),op_d)) ->
% mult(op_c,rd(rd(rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)),op_d),op_d))
% collapsed.
% Rule
% [239]
% rd(mult(A,rd(op_d,mult(op_d,op_d))),op_c) -> rd(mult(A,op_d),rd(unit,op_c))
% collapsed.
% Rule
% [242]
% rd(mult(op_c,mult(rd(unit,op_c),rd(op_d,mult(op_d,op_d)))),op_c) ->
% rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)) collapsed.
% Rule
% [250]
% rd(rd(mult(op_c,rd(rd(mult(op_c,A),op_d),op_d)),rd(rd(op_d,mult(op_d,op_d)),op_d)),A)
% -> mult(op_c,op_c) collapsed.
% Rule
% [279] rd(op_d,rd(rd(unit,op_c),rd(op_c,mult(op_c,op_c)))) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 2503
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [305] rd(unit,rd(rd(op_d,rd(unit,op_c)),op_d)) -> rd(rd(op_d,op_c),op_d)
% Current number of equations to process: 2744
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [306] rd(rd(op_c,op_d),rd(rd(op_d,rd(unit,op_c)),op_d)) -> op_c
% Current number of equations to process: 2876
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [307] mult(A,rd(unit,A)) -> rd(A,rd(unit,rd(unit,A)))
% Rule
% [152] mult(rd(unit,op_c),rd(unit,rd(unit,op_c))) -> rd(op_d,rd(unit,op_c))
% collapsed.
% Current number of equations to process: 2881
% Current number of ordered equations: 0
% Current number of rules: 189
% Rule [127] mult(op_d,op_c) -> rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)) is composed into
% [127] mult(op_d,op_c) -> rd(op_d,rd(unit,op_c))
% New rule produced :
% [308] rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)) -> rd(op_d,rd(unit,op_c))
% Rule [151] rd(rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)),op_c) -> op_d
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% mult(mult(a,rd(op_d,rd(unit,op_c))),b) = mult(a,mult(rd(op_d,rd(unit,op_c)),b))
%
% Current number of equations to process: 2896
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [309] rd(rd(op_d,rd(unit,op_c)),op_c) -> op_d
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [310] mult(op_c,rd(rd(op_d,rd(unit,op_c)),op_d)) -> rd(op_c,op_d)
% Current number of equations to process: 2896
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [311] rd(op_c,rd(rd(op_d,rd(unit,op_c)),op_d)) -> rd(rd(unit,op_c),op_d)
% Current number of equations to process: 2907
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [312] rd(mult(op_c,op_c),rd(op_c,op_d)) -> rd(op_c,rd(unit,rd(unit,op_c)))
% Rule
% [267]
% mult(op_c,rd(rd(mult(op_d,mult(rd(mult(op_c,op_c),rd(op_c,op_d)),op_d)),op_d),op_d))
% -> mult(op_c,rd(rd(unit,op_c),op_d)) collapsed.
% Current number of equations to process: 2992
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [313] rd(rd(A,rd(unit,rd(unit,A))),rd(unit,A)) -> A
% Current number of equations to process: 3005
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [314] rd(op_d,mult(op_d,mult(rd(op_d,rd(unit,op_c)),op_d))) -> op_c
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [315] rd(mult(rd(op_d,rd(unit,op_c)),op_d),op_c) -> mult(op_d,rd(unit,op_c))
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [316] mult(rd(op_d,rd(op_d,rd(unit,op_c))),op_d) -> mult(op_d,rd(unit,op_c))
% Current number of equations to process: 3067
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [317] mult(op_d,rd(unit,mult(rd(op_d,rd(unit,op_c)),op_d))) -> unit
% Current number of equations to process: 3134
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [318] rd(unit,rd(unit,mult(rd(op_d,rd(unit,op_c)),op_d))) -> op_d
% Current number of equations to process: 3226
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [319]
% rd(op_d,rd(rd(unit,op_c),rd(rd(op_c,rd(unit,rd(unit,op_c))),op_c))) ->
% rd(unit,op_c)
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [320] rd(rd(rd(A,op_d),op_c),rd(A,op_d)) -> rd(unit,rd(rd(A,op_d),A))
% Current number of equations to process: 3284
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [321] mult(rd(unit,rd(rd(op_d,op_c),op_d)),rd(op_d,op_c)) -> rd(unit,op_c)
% Current number of equations to process: 3324
% Current number of ordered equations: 0
% Current number of rules: 201
% Rule [109]
% mult(mult(op_c,A),B) <->
% mult(op_c,mult(rd(A,op_d),mult(op_c,rd(rd(mult(op_d,mult(mult(rd(unit,op_c),
% rd(B,op_c)),op_d)),op_d),op_d)))) is composed into
% [109]
% mult(mult(op_c,A),B) <->
% mult(op_c,mult(rd(A,op_d),mult(op_c,rd(rd(mult(mult(op_d,op_d),mult(rd(B,op_c),op_d)),op_d),op_d))))
% New rule produced :
% [322]
% mult(op_d,mult(mult(rd(unit,op_c),A),op_d)) ->
% mult(mult(op_d,op_d),mult(A,op_d))
% Rule
% [270]
% rd(rd(rd(mult(op_c,op_c),rd(rd(rd(mult(op_d,mult(mult(rd(unit,op_c),A),op_d)),op_d),op_d),op_d)),op_c),op_c)
% -> rd(unit,A) collapsed.
% Current number of equations to process: 3359
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [323]
% rd(rd(rd(rd(op_c,rd(unit,rd(unit,op_c))),op_c),op_d),mult(op_d,op_d)) ->
% rd(op_c,op_d)
% Current number of equations to process: 3403
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [324] rd(rd(rd(unit,op_c),rd(A,op_c)),rd(op_c,A)) -> rd(unit,op_c)
% Current number of equations to process: 3420
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [325]
% rd(op_c,rd(unit,mult(op_d,op_d))) -> rd(rd(rd(op_c,rd(op_c,op_d)),op_c),op_d)
% Current number of equations to process: 3470
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [326]
% mult(rd(op_c,mult(op_d,mult(A,op_d))),op_d) -> rd(unit,mult(rd(A,op_c),op_d))
% Current number of equations to process: 3489
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [327]
% rd(unit,mult(rd(unit,op_c),op_d)) -> mult(op_d,mult(op_c,rd(op_c,op_d)))
% Current number of equations to process: 3514
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [328] rd(unit,rd(rd(op_c,rd(A,op_d)),op_c)) <-> rd(rd(op_c,rd(op_d,A)),op_c)
% Current number of equations to process: 3594
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [329] rd(rd(op_c,rd(op_d,A)),op_c) <-> rd(unit,rd(rd(op_c,rd(A,op_d)),op_c))
% Current number of equations to process: 3594
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [330] rd(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),op_c) -> op_c
% Current number of equations to process: 3652
% Current number of ordered equations: 0
% Current number of rules: 209
% Rule [245]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_c,rd(rd(A,op_d),op_c)),op_d)),op_d),op_d))
% -> rd(mult(op_c,op_c),rd(mult(op_d,A),op_d)) is composed into [245]
% mult(op_c,
% rd(
% rd(
% mult(op_d,
% mult(
% rd(op_c,
% rd(
% rd(A,op_d),op_c)),op_d)),op_d),op_d))
% ->
% rd(
% rd(op_c,
% rd(op_d,
% rd(
% rd(unit,op_c),op_d))),
% rd(
% mult(op_d,A),op_d))
% Rule [210]
% mult(op_c,mult(op_c,rd(rd(unit,op_c),op_d))) ->
% rd(mult(op_c,mult(op_c,op_c)),op_c) is composed into [210]
% mult(op_c,mult(op_c,
% rd(
% rd(unit,op_c),op_d)))
% ->
% rd(mult(op_c,
% rd(op_c,
% rd(op_d,
% rd(rd(unit,op_c),op_d)))),op_c)
% Rule [176] mult(op_c,rd(unit,A)) -> rd(mult(op_c,op_c),rd(A,op_d)) is composed into
% [176]
% mult(op_c,rd(unit,A)) ->
% rd(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),rd(A,op_d))
% Rule [74] rd(mult(op_c,rd(rd(unit,op_c),op_d)),op_d) -> mult(op_c,op_c) is composed into
% [74]
% rd(mult(op_c,rd(rd(unit,op_c),op_d)),op_d) ->
% rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d)))
% New rule produced :
% [331] mult(op_c,op_c) -> rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d)))
% Rule
% [147]
% mult(mult(op_c,op_c),A) ->
% mult(op_c,rd(rd(mult(op_c,A),op_d),rd(mult(op_d,op_c),op_d))) collapsed.
% Rule
% [150]
% mult(op_d,rd(mult(op_c,mult(op_c,op_c)),op_c)) ->
% rd(rd(op_d,rd(unit,rd(unit,op_d))),op_d) collapsed.
% Rule [186] rd(rd(mult(op_c,op_c),rd(A,op_d)),rd(unit,A)) -> op_c collapsed.
% Rule [194] rd(rd(mult(op_c,op_c),A),rd(unit,mult(A,op_d))) -> op_c collapsed.
% Rule
% [255]
% rd(rd(rd(mult(op_c,mult(op_c,op_c)),op_d),op_c),rd(unit,rd(unit,op_c))) ->
% rd(op_c,op_d) collapsed.
% Rule
% [312] rd(mult(op_c,op_c),rd(op_c,op_d)) -> rd(op_c,rd(unit,rd(unit,op_c)))
% collapsed.
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [332]
% mult(rd(unit,mult(op_d,mult(A,op_d))),op_d) -> rd(op_d,mult(rd(A,op_c),op_d))
% Current number of equations to process: 3740
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [333]
% mult(rd(unit,op_c),rd(rd(A,op_c),op_c)) <-> rd(mult(op_d,mult(A,op_d)),op_c)
% Current number of equations to process: 3823
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [334]
% rd(mult(op_d,mult(A,op_d)),op_c) <-> mult(rd(unit,op_c),rd(rd(A,op_c),op_c))
% Current number of equations to process: 3823
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [335] mult(rd(A,mult(B,B)),B) -> mult(B,mult(rd(unit,B),rd(A,B)))
% Rule
% [132] mult(rd(A,mult(op_d,op_d)),op_d) -> mult(op_d,mult(op_c,rd(A,op_d)))
% collapsed.
% Rule [290] mult(rd(mult(A,B),mult(B,B)),B) -> mult(B,mult(rd(unit,B),A))
% collapsed.
% Current number of equations to process: 3915
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [336]
% rd(unit,rd(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),rd(op_c,op_d))) ->
% rd(rd(unit,rd(unit,op_c)),op_c)
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [337]
% rd(unit,mult(rd(unit,rd(unit,op_c)),op_d)) -> rd(op_c,rd(unit,rd(unit,op_c)))
% Current number of equations to process: 4050
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [338] rd(rd(op_c,rd(op_d,mult(A,op_d))),op_c) -> rd(unit,rd(rd(op_c,A),op_c))
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [339] rd(rd(rd(A,op_d),op_c),rd(A,op_c)) -> rd(unit,rd(rd(A,op_c),A))
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [340] rd(rd(mult(A,op_d),op_c),op_d) -> rd(A,rd(rd(op_d,rd(unit,op_c)),op_d))
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [341]
% rd(mult(rd(op_d,rd(unit,op_c)),A),op_c) -> mult(op_d,rd(mult(op_c,A),op_c))
% Rule
% [315] rd(mult(rd(op_d,rd(unit,op_c)),op_d),op_c) -> mult(op_d,rd(unit,op_c))
% collapsed.
% Current number of equations to process: 4217
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [342]
% mult(op_d,mult(rd(op_d,rd(unit,op_c)),op_d)) ->
% rd(mult(op_d,mult(op_d,op_d)),op_d)
% Rule [314] rd(op_d,mult(op_d,mult(rd(op_d,rd(unit,op_c)),op_d))) -> op_c
% collapsed.
% Current number of equations to process: 4252
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [343] mult(op_c,rd(rd(op_d,rd(unit,op_c)),A)) -> rd(rd(op_c,op_d),rd(A,op_d))
% Rule [310] mult(op_c,rd(rd(op_d,rd(unit,op_c)),op_d)) -> rd(op_c,op_d)
% collapsed.
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [344]
% mult(rd(op_c,rd(unit,rd(unit,op_c))),rd(op_c,op_d)) ->
% rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d)))
% Current number of equations to process: 4329
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [345]
% rd(rd(unit,mult(rd(op_d,rd(unit,op_c)),op_d)),op_d) ->
% rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d)))
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [346]
% rd(rd(unit,rd(unit,op_c)),rd(op_c,op_d)) -> rd(unit,rd(unit,rd(unit,op_c)))
% Current number of equations to process: 4384
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [347]
% mult(op_c,mult(mult(op_d,op_d),mult(A,op_d))) ->
% rd(mult(rd(unit,op_c),A),op_c)
% Current number of equations to process: 4401
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [348] rd(rd(rd(unit,A),op_c),rd(op_c,mult(op_c,A))) -> rd(unit,op_c)
% Current number of equations to process: 4463
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [349] rd(rd(unit,rd(rd(op_d,op_c),op_d)),rd(op_c,op_d)) -> rd(unit,op_c)
% Current number of equations to process: 4485
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [350] rd(rd(rd(unit,op_c),A),rd(op_c,mult(A,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 4501
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [351]
% mult(rd(op_c,mult(op_d,A)),op_d) -> rd(unit,mult(rd(rd(A,op_d),op_c),op_d))
% Rule
% [326]
% mult(rd(op_c,mult(op_d,mult(A,op_d))),op_d) -> rd(unit,mult(rd(A,op_c),op_d))
% collapsed.
% Current number of equations to process: 4535
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [352]
% rd(unit,mult(rd(mult(op_c,A),op_c),op_d)) <->
% mult(rd(op_c,mult(A,op_d)),op_d)
% Current number of equations to process: 4598
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [353]
% mult(rd(op_c,mult(A,op_d)),op_d) <->
% rd(unit,mult(rd(mult(op_c,A),op_c),op_d))
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [354]
% mult(rd(unit,mult(op_d,A)),op_d) -> rd(op_d,mult(rd(rd(A,op_d),op_c),op_d))
% Rule
% [332]
% mult(rd(unit,mult(op_d,mult(A,op_d))),op_d) -> rd(op_d,mult(rd(A,op_c),op_d))
% collapsed.
% Current number of equations to process: 4718
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [355]
% rd(op_d,mult(rd(mult(op_c,A),op_c),op_d)) <->
% mult(rd(unit,mult(A,op_d)),op_d)
% Current number of equations to process: 4790
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [356]
% mult(rd(unit,mult(A,op_d)),op_d) <->
% rd(op_d,mult(rd(mult(op_c,A),op_c),op_d))
% Current number of equations to process: 4790
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [357]
% mult(rd(op_c,rd(op_d,rd(unit,op_c))),op_d) -> rd(op_c,rd(unit,rd(unit,op_c)))
% Current number of equations to process: 4897
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [358]
% rd(rd(op_c,rd(unit,rd(unit,op_c))),op_d) -> rd(op_c,rd(op_d,rd(unit,op_c)))
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [359]
% mult(mult(rd(unit,mult(A,B)),rd(mult(mult(A,C),mult(mult(rd(unit,C),B),C)),
% mult(A,B))),mult(A,B)) -> C
% Current number of equations to process: 4980
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [360]
% rd(mult(rd(A,B),mult(B,C)),mult(mult(mult(rd(unit,B),rd(A,B)),B),C)) -> B
% Current number of equations to process: 1328
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [361]
% rd(mult(rd(mult(A,B),A),C),mult(B,mult(mult(rd(unit,A),rd(C,A)),A))) -> A
% Current number of equations to process: 1525
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [362]
% mult(mult(rd(rd(A,B),A),rd(mult(A,mult(B,mult(mult(rd(unit,A),rd(C,A)),A))),
% rd(mult(A,B),A))),rd(mult(A,B),A)) -> C
% Current number of equations to process: 1730
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [363]
% mult(op_c,mult(A,mult(B,mult(mult(rd(unit,A),rd(op_d,A)),A)))) ->
% rd(mult(op_c,mult(A,B)),mult(op_c,A))
% Current number of equations to process: 2044
% Current number of ordered equations: 2
% Current number of rules: 229
% New rule produced :
% [364]
% mult(op_c,mult(mult(A,op_d),rd(rd(mult(op_d,mult(op_d,mult(rd(mult(op_c,
% rd(B,op_d)),
% rd(op_c,op_d)),op_d))),op_d),op_d)))
% <-> mult(rd(rd(mult(op_c,A),op_c),op_c),B)
% Current number of equations to process: 2044
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [365]
% mult(rd(rd(mult(op_c,A),op_c),op_c),B) <->
% mult(op_c,mult(mult(A,op_d),rd(rd(mult(op_d,mult(op_d,mult(rd(mult(op_c,
% rd(B,op_d)),
% rd(op_c,op_d)),op_d))),op_d),op_d)))
% Current number of equations to process: 2044
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [366]
% mult(mult(rd(unit,mult(A,op_c)),rd(mult(mult(A,op_d),mult(rd(op_c,rd(op_d,
% rd(
% rd(unit,op_c),op_d))),op_d)),
% mult(A,op_c))),mult(A,op_c)) -> op_d
% Current number of equations to process: 2342
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [367] mult(A,mult(mult(B,rd(C,A)),A)) <-> mult(rd(mult(A,mult(B,A)),A),C)
% Current number of equations to process: 2431
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [368] mult(rd(mult(A,mult(B,A)),A),C) <-> mult(A,mult(mult(B,rd(C,A)),A))
% Current number of equations to process: 2431
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [369] mult(rd(A,B),C) <-> rd(mult(A,mult(mult(rd(unit,B),C),B)),B)
% Current number of equations to process: 2848
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [370] rd(mult(A,mult(mult(rd(unit,B),C),B)),B) <-> mult(rd(A,B),C)
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [371]
% mult(op_c,mult(A,mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)))) <->
% rd(mult(op_c,mult(rd(A,op_d),B)),op_c)
% Current number of equations to process: 3152
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [372]
% rd(mult(op_c,mult(rd(A,op_d),B)),op_c) <->
% mult(op_c,mult(A,mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d))))
% Current number of equations to process: 3152
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [373]
% rd(rd(mult(op_d,mult(op_d,mult(rd(mult(op_c,rd(rd(A,op_c),op_d)),rd(op_c,op_d)),op_d))),op_d),op_d)
% -> mult(op_d,mult(A,op_d))
% Current number of equations to process: 3310
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [374] rd(rd(rd(mult(op_c,A),op_c),op_c),mult(mult(A,op_d),op_d)) -> op_c
% Current number of equations to process: 3364
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [375] rd(mult(A,op_d),mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d))) -> op_d
% Current number of equations to process: 3382
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [376]
% mult(mult(mult(rd(unit,op_c),op_d),mult(rd(mult(op_c,rd(A,op_d)),rd(op_c,op_d)),op_d)),
% mult(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),op_d)) ->
% mult(op_d,mult(A,op_d))
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [377]
% mult(op_d,mult(A,mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)))) <->
% mult(rd(mult(op_d,A),op_d),mult(B,op_d))
% Current number of equations to process: 3508
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [378]
% mult(rd(mult(op_d,A),op_d),mult(B,op_d)) <->
% mult(op_d,mult(A,mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d))))
% Current number of equations to process: 3508
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [379]
% rd(rd(mult(A,op_c),rd(rd(mult(rd(A,op_d),mult(op_d,op_d)),op_d),op_d)),op_c)
% -> op_d
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [380] mult(A,mult(mult(mult(rd(unit,A),B),A),C)) -> mult(B,mult(A,C))
% Current number of equations to process: 3720
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [381]
% mult(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d))
% -> mult(op_c,rd(A,op_d))
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [382]
% mult(op_c,mult(rd(A,op_d),mult(B,op_d))) <->
% mult(mult(op_c,A),rd(mult(op_c,B),op_c))
% Current number of equations to process: 3890
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [383]
% mult(mult(op_c,A),rd(mult(op_c,B),op_c)) <->
% mult(op_c,mult(rd(A,op_d),mult(B,op_d)))
% Current number of equations to process: 3890
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [384] rd(mult(mult(A,op_d),op_d),mult(rd(mult(op_c,A),op_c),op_d)) -> op_d
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [385]
% mult(rd(mult(op_c,A),op_c),rd(B,op_d)) ->
% mult(op_c,mult(A,rd(mult(op_d,B),op_d)))
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [386] mult(rd(unit,rd(A,B)),rd(A,rd(A,B))) -> rd(B,rd(A,B))
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [387]
% mult(rd(unit,op_c),rd(rd(op_c,A),op_c)) <-> rd(rd(op_d,mult(A,op_d)),op_c)
% Current number of equations to process: 4161
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [388]
% rd(rd(op_d,mult(A,op_d)),op_c) <-> mult(rd(unit,op_c),rd(rd(op_c,A),op_c))
% Current number of equations to process: 4161
% Current number of ordered equations: 0
% Current number of rules: 254
% Rule [252]
% mult(rd(A,op_d),mult(op_d,op_d)) <->
% rd(mult(A,mult(rd(unit,op_c),op_d)),op_d) is composed into [252]
% mult(
% rd(A,op_d),
% mult(op_d,op_d))
% ->
% rd(mult(A,
% rd(
% rd(op_d,
% rd(
% rd(unit,op_c),op_d)),op_c)),op_d)
% New rule produced :
% [389] mult(rd(unit,op_c),op_d) -> rd(rd(op_d,rd(rd(unit,op_c),op_d)),op_c)
% Rule
% [240]
% mult(op_d,mult(mult(rd(unit,op_c),op_d),A)) ->
% mult(mult(op_d,op_d),mult(op_d,A)) collapsed.
% Rule
% [241]
% mult(mult(A,op_d),mult(rd(unit,op_c),op_d)) ->
% mult(mult(A,op_d),rd(rd(rd(mult(op_d,mult(op_d,op_d)),op_d),op_d),op_c))
% collapsed.
% Rule
% [253]
% rd(mult(A,mult(rd(unit,op_c),op_d)),op_d) <->
% mult(rd(A,op_d),mult(op_d,op_d)) collapsed.
% Rule
% [327]
% rd(unit,mult(rd(unit,op_c),op_d)) -> mult(op_d,mult(op_c,rd(op_c,op_d)))
% collapsed.
% Rule
% [376]
% mult(mult(mult(rd(unit,op_c),op_d),mult(rd(mult(op_c,rd(A,op_d)),rd(op_c,op_d)),op_d)),
% mult(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),op_d)) ->
% mult(op_d,mult(A,op_d)) collapsed.
% Current number of equations to process: 4390
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [390] rd(rd(rd(op_d,rd(rd(unit,op_c),op_d)),op_c),op_d) -> rd(unit,op_c)
% Current number of equations to process: 4509
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [391]
% rd(mult(A,op_d),op_c) <-> mult(rd(unit,op_c),rd(rd(mult(op_c,A),op_c),op_c))
% Current number of equations to process: 4543
% Current number of ordered equations: 1
% Current number of rules: 252
% New rule produced :
% [392]
% mult(rd(unit,op_c),rd(rd(mult(op_c,A),op_c),op_c)) <-> rd(mult(A,op_d),op_c)
% Current number of equations to process: 4543
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [393]
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(mult(rd(rd(B,op_d),op_c),
% mult(op_d,op_d)),op_d)))),op_d),op_d))
% <-> mult(mult(A,op_c),rd(mult(op_d,B),op_d))
% Current number of equations to process: 4646
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [394]
% mult(mult(A,op_c),rd(mult(op_d,B),op_d)) <->
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(mult(rd(rd(B,op_d),op_c),
% mult(op_d,op_d)),op_d)))),op_d),op_d))
% Current number of equations to process: 4646
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [395]
% mult(op_c,mult(rd(mult(op_d,A),op_d),B)) ->
% rd(mult(rd(A,op_d),rd(B,op_d)),op_c)
% Current number of equations to process: 4784
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [396]
% mult(mult(op_c,A),rd(rd(B,op_d),op_c)) ->
% mult(op_c,mult(rd(A,op_d),mult(op_d,B)))
% Current number of equations to process: 4784
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [397]
% mult(op_c,rd(mult(mult(op_d,A),B),op_d)) ->
% mult(rd(rd(A,op_d),op_c),rd(B,op_d))
% Current number of equations to process: 4935
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [398]
% mult(rd(unit,op_c),rd(rd(rd(A,op_d),op_c),op_c)) -> rd(mult(op_d,A),op_c)
% Current number of equations to process: 4990
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [399]
% mult(op_d,mult(mult(op_c,rd(rd(unit,op_c),op_d)),A)) -> rd(rd(A,op_d),op_c)
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced : [400] rd(rd(A,rd(B,A)),rd(B,rd(B,A))) -> rd(unit,rd(B,A))
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [401] rd(rd(mult(op_d,op_d),op_c),rd(rd(unit,op_c),op_c)) -> rd(unit,op_c)
% Current number of equations to process: 763
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [402] rd(rd(rd(A,op_d),op_c),mult(rd(unit,op_c),A)) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [403] rd(mult(rd(A,B),mult(C,B)),A) -> rd(mult(rd(A,B),C),rd(A,B))
% Current number of equations to process: 961
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [404] rd(A,mult(A,mult(op_c,rd(rd(unit,op_c),op_d)))) -> rd(mult(A,op_d),A)
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [405] rd(mult(op_c,A),mult(A,op_c)) <-> rd(rd(mult(op_c,A),op_c),A)
% Current number of equations to process: 1287
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [406] rd(rd(mult(op_c,A),op_c),A) <-> rd(mult(op_c,A),mult(A,op_c))
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 267
% Rule [389]
% mult(rd(unit,op_c),op_d) -> rd(rd(op_d,rd(rd(unit,op_c),op_d)),op_c) is composed into
% [389]
% mult(rd(unit,op_c),op_d) -> rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c)
% Rule [345]
% rd(rd(unit,mult(rd(op_d,rd(unit,op_c)),op_d)),op_d) ->
% rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))) is composed into [345]
% rd(rd(unit,
% mult(
% rd(op_d,
% rd(unit,op_c)),op_d)),op_d)
% ->
% rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c)))))
% Rule [344]
% mult(rd(op_c,rd(unit,rd(unit,op_c))),rd(op_c,op_d)) ->
% rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))) is composed into [344]
% mult(rd(op_c,
% rd(unit,
% rd(unit,op_c))),
% rd(op_c,op_d))
% ->
% rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c)))))
% Rule [331] mult(op_c,op_c) -> rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))) is composed into
% [331] mult(op_c,op_c) -> rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))))
% Rule [311] rd(op_c,rd(rd(op_d,rd(unit,op_c)),op_d)) -> rd(rd(unit,op_c),op_d) is composed into
% [311]
% rd(op_c,rd(rd(op_d,rd(unit,op_c)),op_d)) -> rd(unit,rd(op_d,rd(unit,op_c)))
% Rule [252]
% mult(rd(A,op_d),mult(op_d,op_d)) ->
% rd(mult(A,rd(rd(op_d,rd(rd(unit,op_c),op_d)),op_c)),op_d) is composed into
% [252]
% mult(rd(A,op_d),mult(op_d,op_d)) ->
% rd(mult(A,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c)),op_d)
% Rule [245]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_c,rd(rd(A,op_d),op_c)),op_d)),op_d),op_d))
% -> rd(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),rd(mult(op_d,A),op_d)) is composed into
% [245]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_c,rd(rd(A,op_d),op_c)),op_d)),op_d),op_d))
% ->
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(mult(op_d,A),op_d))
% Rule [176]
% mult(op_c,rd(unit,A)) ->
% rd(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),rd(A,op_d)) is composed into
% [176]
% mult(op_c,rd(unit,A)) ->
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(A,op_d))
% New rule produced :
% [407] rd(rd(unit,op_c),op_d) -> rd(unit,rd(op_d,rd(unit,op_c)))
% Rule [71] mult(op_d,mult(op_c,rd(rd(unit,op_c),op_d))) -> unit collapsed.
% Rule
% [74]
% rd(mult(op_c,rd(rd(unit,op_c),op_d)),op_d) ->
% rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))) collapsed.
% Rule
% [116]
% mult(op_d,mult(A,mult(op_c,rd(rd(unit,op_c),op_d)))) -> rd(mult(op_d,A),op_d)
% collapsed.
% Rule
% [119]
% mult(mult(rd(unit,mult(A,rd(unit,op_c))),rd(mult(mult(A,op_d),mult(op_c,
% rd(rd(unit,op_c),op_d))),
% mult(A,rd(unit,op_c)))),mult(A,
% rd(unit,op_c)))
% -> op_c collapsed.
% Rule
% [129]
% rd(unit,mult(op_d,rd(rd(unit,op_c),op_d))) ->
% rd(rd(op_d,rd(unit,rd(unit,op_d))),op_d) collapsed.
% Rule
% [167]
% mult(mult(rd(A,op_c),op_d),mult(op_c,rd(rd(unit,op_c),op_d))) -> mult(A,op_d)
% collapsed.
% Rule
% [210]
% mult(op_c,mult(op_c,rd(rd(unit,op_c),op_d))) ->
% rd(mult(op_c,rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d)))),op_c) collapsed.
% Rule [292] rd(op_c,rd(rd(unit,op_c),op_d)) -> rd(unit,rd(unit,op_c))
% collapsed.
% Rule [293] mult(rd(unit,rd(unit,op_c)),rd(rd(unit,op_c),op_d)) -> op_c
% collapsed.
% Rule [308] rd(op_c,rd(rd(rd(unit,op_c),op_d),op_d)) -> rd(op_d,rd(unit,op_c))
% collapsed.
% Rule [330] rd(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),op_c) -> op_c
% collapsed.
% Rule
% [336]
% rd(unit,rd(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),rd(op_c,op_d))) ->
% rd(rd(unit,rd(unit,op_c)),op_c) collapsed.
% Rule
% [366]
% mult(mult(rd(unit,mult(A,op_c)),rd(mult(mult(A,op_d),mult(rd(op_c,rd(op_d,
% rd(
% rd(unit,op_c),op_d))),op_d)),
% mult(A,op_c))),mult(A,op_c)) -> op_d
% collapsed.
% Rule
% [381]
% mult(rd(op_c,rd(op_d,rd(rd(unit,op_c),op_d))),rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d))
% -> mult(op_c,rd(A,op_d)) collapsed.
% Rule [390] rd(rd(rd(op_d,rd(rd(unit,op_c),op_d)),op_c),op_d) -> rd(unit,op_c)
% collapsed.
% Rule
% [399]
% mult(op_d,mult(mult(op_c,rd(rd(unit,op_c),op_d)),A)) -> rd(rd(A,op_d),op_c)
% collapsed.
% Rule
% [404] rd(A,mult(A,mult(op_c,rd(rd(unit,op_c),op_d)))) -> rd(mult(A,op_d),A)
% collapsed.
% Current number of equations to process: 1360
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [408]
% mult(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(rd(op_d,
% rd(unit,op_c)),op_d)))
% -> unit
% Current number of equations to process: 1375
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [409] rd(op_c,rd(unit,rd(op_d,rd(unit,op_c)))) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 1381
% Current number of ordered equations: 0
% Current number of rules: 253
% Rule [406] rd(rd(mult(op_c,A),op_c),A) <-> rd(mult(op_c,A),mult(A,op_c)) is composed into
% [406] rd(rd(mult(op_c,A),op_c),A) <-> rd(op_c,rd(A,mult(A,op_d)))
% New rule produced :
% [410] rd(mult(op_c,A),mult(A,op_c)) -> rd(op_c,rd(A,mult(A,op_d)))
% Rule [405] rd(mult(op_c,A),mult(A,op_c)) <-> rd(rd(mult(op_c,A),op_c),A)
% collapsed.
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [411] mult(rd(unit,rd(op_d,rd(unit,op_c))),op_d) -> rd(unit,op_c)
% Current number of equations to process: 1457
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [412] mult(rd(rd(mult(op_c,A),op_c),A),mult(A,op_c)) -> mult(op_c,A)
% Current number of equations to process: 1659
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [413]
% rd(rd(unit,rd(op_d,rd(unit,op_c))),op_c) -> rd(unit,rd(unit,rd(unit,op_c)))
% Current number of equations to process: 1658
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [414]
% rd(rd(unit,rd(unit,op_c)),op_c) -> rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))
% Rule [92] rd(op_d,rd(rd(unit,rd(unit,op_c)),op_c)) -> rd(unit,op_c)
% collapsed.
% Rule [128] mult(rd(unit,op_c),rd(rd(unit,rd(unit,op_c)),op_c)) -> op_d
% collapsed.
% Current number of equations to process: 1659
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [415] rd(op_d,rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) -> rd(unit,op_c)
% Current number of equations to process: 1658
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [416] mult(rd(op_c,rd(A,mult(A,op_d))),mult(A,op_c)) -> mult(op_c,A)
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [417] mult(rd(unit,op_c),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) -> op_d
% Current number of equations to process: 1880
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [418] rd(mult(A,rd(op_d,op_c)),mult(A,rd(unit,op_c))) -> rd(A,mult(A,op_c))
% Current number of equations to process: 1908
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [419]
% rd(rd(unit,rd(unit,op_c)),op_d) -> rd(op_c,rd(op_d,rd(op_d,rd(unit,op_c))))
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [420]
% mult(rd(unit,mult(op_d,op_d)),rd(op_d,rd(op_d,rd(unit,op_c)))) ->
% rd(rd(op_d,rd(unit,op_c)),op_d)
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [421]
% rd(unit,mult(op_d,op_d)) ->
% rd(rd(rd(op_d,rd(unit,op_c)),op_d),rd(op_d,rd(op_d,rd(unit,op_c))))
% Rule
% [325]
% rd(op_c,rd(unit,mult(op_d,op_d))) -> rd(rd(rd(op_c,rd(op_c,op_d)),op_c),op_d)
% collapsed.
% Rule
% [420]
% mult(rd(unit,mult(op_d,op_d)),rd(op_d,rd(op_d,rd(unit,op_c)))) ->
% rd(rd(op_d,rd(unit,op_c)),op_d) collapsed.
% Current number of equations to process: 2039
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [422] rd(rd(mult(op_c,A),op_d),rd(mult(A,op_d),mult(op_d,op_d))) -> op_c
% Current number of equations to process: 2083
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [423] rd(rd(mult(op_c,A),mult(op_c,B)),mult(rd(A,B),op_d)) -> op_c
% Current number of equations to process: 2119
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [424] rd(rd(op_c,mult(op_c,A)),mult(rd(unit,A),op_d)) -> op_c
% Current number of equations to process: 2156
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [425] rd(mult(A,rd(unit,op_c)),mult(A,mult(op_d,op_d))) -> rd(A,mult(A,op_d))
% Current number of equations to process: 2271
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [426]
% rd(A,mult(A,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(rd(op_d,
% rd(unit,op_c)),op_d))))
% -> rd(mult(A,op_d),A)
% Current number of equations to process: 2325
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [427] mult(rd(unit,A),rd(mult(A,B),mult(A,C))) -> rd(rd(B,C),A)
% Current number of equations to process: 2376
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [428] mult(rd(unit,A),rd(A,mult(A,B))) -> rd(rd(unit,B),A)
% Current number of equations to process: 2455
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [429] mult(rd(A,mult(A,B)),mult(A,C)) -> mult(A,mult(rd(unit,B),C))
% Rule [140] mult(rd(A,mult(A,op_d)),mult(A,B)) -> mult(A,mult(op_c,B))
% collapsed.
% Current number of equations to process: 2779
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [430] rd(rd(rd(unit,A),B),rd(B,mult(B,A))) -> rd(unit,B)
% Rule [153] rd(rd(rd(unit,A),op_d),rd(op_d,mult(op_d,A))) -> op_c collapsed.
% Rule [348] rd(rd(rd(unit,A),op_c),rd(op_c,mult(op_c,A))) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 2780
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [431] mult(rd(A,C),rd(C,mult(C,B))) -> rd(mult(A,rd(unit,B)),C)
% Rule [157] mult(rd(A,B),rd(B,mult(B,op_d))) -> rd(mult(A,op_c),B) collapsed.
% Rule [428] mult(rd(unit,A),rd(A,mult(A,B))) -> rd(rd(unit,B),A) collapsed.
% Current number of equations to process: 2779
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [432]
% rd(mult(op_c,A),mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d))) ->
% rd(mult(op_c,rd(A,op_d)),mult(op_c,A))
% Current number of equations to process: 3462
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [433]
% rd(rd(rd(unit,op_c),rd(unit,rd(unit,rd(unit,op_c)))),mult(op_d,rd(op_d,
% rd(unit,op_c))))
% -> op_c
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [434]
% rd(mult(A,mult(B,op_c)),mult(A,B)) -> rd(mult(A,B),mult(A,mult(B,op_d)))
% Current number of equations to process: 3536
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [435] mult(mult(A,B),A) -> mult(A,mult(rd(rd(B,A),rd(unit,A)),A))
% Rule
% [125] mult(mult(op_d,A),op_d) -> mult(op_d,mult(rd(rd(A,op_d),op_c),op_d))
% collapsed.
% Current number of equations to process: 3653
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [436]
% mult(op_d,mult(rd(unit,rd(unit,op_c)),op_d)) ->
% mult(rd(op_d,rd(unit,op_c)),op_d)
% Current number of equations to process: 3751
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [437] mult(rd(unit,rd(A,op_d)),rd(rd(A,op_d),A)) -> rd(op_c,rd(A,op_d))
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [438] rd(rd(op_c,rd(A,op_d)),rd(rd(A,op_d),A)) -> rd(unit,rd(A,op_d))
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [439]
% rd(rd(rd(mult(A,op_c),op_d),op_d),op_c) ->
% rd(rd(A,rd(unit,op_c)),rd(unit,op_c))
% Current number of equations to process: 4024
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [440]
% mult(rd(mult(A,op_c),op_d),rd(unit,op_c)) ->
% mult(A,mult(rd(op_c,op_d),rd(unit,op_c)))
% Current number of equations to process: 4073
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced :
% [441]
% mult(rd(unit,op_c),mult(rd(op_c,op_d),rd(unit,op_c))) ->
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(op_c,op_d))
% Current number of equations to process: 4127
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [442]
% rd(rd(rd(rd(op_d,rd(unit,op_c)),op_d),op_d),op_c) ->
% rd(unit,rd(rd(op_d,op_c),op_d))
% Current number of equations to process: 4176
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [443]
% rd(rd(A,op_c),mult(rd(unit,op_c),mult(A,op_d))) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 4213
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [444]
% mult(op_d,mult(A,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(rd(op_d,rd(unit,op_c)),op_d)))) -> rd(mult(op_d,A),op_d)
% Current number of equations to process: 4286
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [445]
% rd(mult(mult(op_c,rd(A,op_d)),B),op_c) ->
% mult(mult(op_c,A),rd(mult(op_c,B),op_c))
% Current number of equations to process: 4366
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced :
% [446]
% rd(mult(op_c,mult(rd(A,op_d),B)),A) -> mult(op_c,rd(mult(A,mult(op_c,B)),A))
% Current number of equations to process: 4422
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [447]
% mult(op_c,rd(rd(mult(op_d,mult(rd(mult(op_c,rd(A,op_d)),A),op_d)),op_d),op_d))
% -> mult(op_c,rd(rd(A,mult(A,op_d)),op_d))
% Current number of equations to process: 4524
% Current number of ordered equations: 1
% Current number of rules: 280
% New rule produced :
% [448] rd(rd(mult(op_c,rd(A,op_d)),A),rd(A,mult(A,op_d))) -> op_c
% Current number of equations to process: 4593
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [449]
% rd(rd(mult(op_c,rd(A,op_d)),A),op_c) ->
% rd(mult(op_c,A),rd(mult(op_c,A),op_c))
% Current number of equations to process: 4659
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [450]
% mult(op_d,mult(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(
% rd(op_d,
% rd(unit,op_c)),op_d)),A))
% -> rd(rd(A,op_d),op_c)
% Current number of equations to process: 4718
% Current number of ordered equations: 1
% Current number of rules: 283
% New rule produced :
% [451]
% rd(mult(A,mult(op_d,B)),mult(mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d)),B))
% -> op_d
% Current number of equations to process: 4787
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [452]
% mult(op_d,mult(rd(rd(rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c),op_d),op_c),op_d))
% -> mult(op_d,mult(rd(rd(unit,op_c),op_c),op_d))
% Current number of equations to process: 4866
% Current number of ordered equations: 1
% Current number of rules: 285
% New rule produced :
% [453]
% mult(op_d,rd(unit,rd(rd(unit,op_c),rd(unit,rd(unit,rd(unit,op_c)))))) ->
% rd(op_d,rd(op_d,rd(unit,op_c)))
% Current number of equations to process: 4910
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [454]
% mult(op_d,mult(op_c,rd(rd(unit,rd(op_d,rd(unit,op_c))),op_d))) ->
% rd(unit,rd(unit,op_c))
% Current number of equations to process: 4950
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [455]
% rd(rd(mult(op_c,rd(rd(rd(mult(op_c,rd(rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d),op_d)),op_d),op_d),op_d)),
% rd(rd(mult(op_d,mult(op_d,rd(mult(op_d,mult(op_d,op_d)),op_d))),op_d),
% rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d))),rd(rd(mult(op_d,mult(op_d,
% mult(op_d,op_d))),
% mult(op_d,op_d)),
% rd(mult(op_d,mult(op_d,op_d)),op_d)))
% -> mult(op_c,rd(rd(rd(mult(op_d,op_d),mult(op_d,rd(unit,op_c))),op_d),op_d))
% Current number of equations to process: 4985
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [456] rd(mult(mult(op_c,A),B),rd(mult(A,mult(B,op_d)),op_d)) -> op_c
% Current number of equations to process: 2292
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [457]
% rd(mult(A,mult(B,op_d)),mult(op_d,op_d)) <->
% rd(mult(op_d,mult(mult(op_c,A),B)),op_d)
% Current number of equations to process: 2386
% Current number of ordered equations: 2
% Current number of rules: 290
% New rule produced :
% [458]
% rd(mult(op_d,mult(mult(op_c,A),B)),op_d) <->
% rd(mult(A,mult(B,op_d)),mult(op_d,op_d))
% Current number of equations to process: 2386
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [459]
% mult(rd(mult(op_c,A),mult(A,op_d)),A) ->
% mult(op_c,mult(A,rd(rd(op_d,rd(unit,op_c)),op_d)))
% Current number of equations to process: 2544
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [460] rd(rd(mult(mult(op_c,A),B),op_c),mult(A,mult(B,op_d))) -> op_c
% Current number of equations to process: 2628
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [461]
% mult(op_c,mult(mult(op_d,A),mult(B,op_d))) ->
% rd(mult(rd(rd(A,op_d),op_c),B),op_c)
% Rule
% [347]
% mult(op_c,mult(mult(op_d,op_d),mult(A,op_d))) ->
% rd(mult(rd(unit,op_c),A),op_c) collapsed.
% Current number of equations to process: 2716
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [462]
% mult(op_c,mult(mult(A,op_d),mult(B,op_d))) <->
% rd(mult(rd(mult(op_c,A),op_c),B),op_c)
% Current number of equations to process: 2819
% Current number of ordered equations: 2
% Current number of rules: 294
% New rule produced :
% [463]
% rd(mult(rd(mult(op_c,A),op_c),B),op_c) <->
% mult(op_c,mult(mult(A,op_d),mult(B,op_d)))
% Current number of equations to process: 2819
% Current number of ordered equations: 1
% Current number of rules: 295
% New rule produced :
% [464]
% rd(mult(op_c,rd(op_c,op_d)),rd(rd(rd(unit,rd(op_d,rd(unit,op_c))),op_d),op_d))
% -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 2984
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [465]
% rd(rd(op_c,rd(rd(unit,rd(op_d,rd(unit,op_c))),op_d)),op_d) ->
% rd(rd(op_d,rd(unit,op_c)),op_d)
% Current number of equations to process: 3010
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [466]
% rd(rd(unit,op_c),rd(unit,rd(unit,rd(unit,op_c)))) -> rd(op_d,rd(unit,op_c))
% Rule
% [433]
% rd(rd(rd(unit,op_c),rd(unit,rd(unit,rd(unit,op_c)))),mult(op_d,rd(op_d,
% rd(unit,op_c))))
% -> op_c collapsed.
% Rule
% [453]
% mult(op_d,rd(unit,rd(rd(unit,op_c),rd(unit,rd(unit,rd(unit,op_c)))))) ->
% rd(op_d,rd(op_d,rd(unit,op_c))) collapsed.
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [467]
% mult(op_d,rd(unit,rd(op_d,rd(unit,op_c)))) -> rd(op_d,rd(op_d,rd(unit,op_c)))
% Current number of equations to process: 3057
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [468] rd(rd(op_d,rd(unit,op_c)),mult(op_d,rd(op_d,rd(unit,op_c)))) -> op_c
% Current number of equations to process: 3056
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [469]
% mult(rd(rd(op_d,rd(unit,op_c)),op_d),rd(op_d,rd(op_d,rd(unit,op_c)))) -> unit
% Current number of equations to process: 3142
% Current number of ordered equations: 0
% Current number of rules: 299
% Rule [465]
% rd(rd(op_c,rd(rd(unit,rd(op_d,rd(unit,op_c))),op_d)),op_d) ->
% rd(rd(op_d,rd(unit,op_c)),op_d) is composed into [465]
% rd(rd(op_c,rd(rd(unit,
% rd(op_d,
% rd(unit,op_c))),op_d)),op_d)
% ->
% rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c))))
% Rule [459]
% mult(rd(mult(op_c,A),mult(A,op_d)),A) ->
% mult(op_c,mult(A,rd(rd(op_d,rd(unit,op_c)),op_d))) is composed into
% [459]
% mult(rd(mult(op_c,A),mult(A,op_d)),A) ->
% mult(op_c,mult(A,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))
% Rule [421]
% rd(unit,mult(op_d,op_d)) ->
% rd(rd(rd(op_d,rd(unit,op_c)),op_d),rd(op_d,rd(op_d,rd(unit,op_c)))) is composed into
% [421]
% rd(unit,mult(op_d,op_d)) ->
% rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),rd(op_d,rd(op_d,rd(unit,op_c))))
% Rule [340]
% rd(rd(mult(A,op_d),op_c),op_d) -> rd(A,rd(rd(op_d,rd(unit,op_c)),op_d)) is composed into
% [340]
% rd(rd(mult(A,op_d),op_c),op_d) ->
% rd(A,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))
% New rule produced :
% [470]
% rd(rd(op_d,rd(unit,op_c)),op_d) -> rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))
% Rule [305] rd(unit,rd(rd(op_d,rd(unit,op_c)),op_d)) -> rd(rd(op_d,op_c),op_d)
% collapsed.
% Rule [306] rd(rd(op_c,op_d),rd(rd(op_d,rd(unit,op_c)),op_d)) -> op_c
% collapsed.
% Rule
% [311]
% rd(op_c,rd(rd(op_d,rd(unit,op_c)),op_d)) -> rd(unit,rd(op_d,rd(unit,op_c)))
% collapsed.
% Rule
% [408]
% mult(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(rd(op_d,
% rd(unit,op_c)),op_d)))
% -> unit collapsed.
% Rule
% [426]
% rd(A,mult(A,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(rd(op_d,
% rd(unit,op_c)),op_d))))
% -> rd(mult(A,op_d),A) collapsed.
% Rule
% [442]
% rd(rd(rd(rd(op_d,rd(unit,op_c)),op_d),op_d),op_c) ->
% rd(unit,rd(rd(op_d,op_c),op_d)) collapsed.
% Rule
% [444]
% mult(op_d,mult(A,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(rd(op_d,rd(unit,op_c)),op_d)))) -> rd(mult(op_d,A),op_d)
% collapsed.
% Rule
% [450]
% mult(op_d,mult(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(
% rd(op_d,
% rd(unit,op_c)),op_d)),A))
% -> rd(rd(A,op_d),op_c) collapsed.
% Rule
% [469]
% mult(rd(rd(op_d,rd(unit,op_c)),op_d),rd(op_d,rd(op_d,rd(unit,op_c)))) -> unit
% collapsed.
% Current number of equations to process: 3164
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [471] rd(rd(mult(op_c,rd(A,op_d)),op_d),rd(A,mult(op_d,op_d))) -> op_c
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [472]
% mult(op_d,mult(mult(op_c,rd(A,op_d)),B)) ->
% mult(rd(A,mult(op_d,op_d)),mult(op_d,B))
% Current number of equations to process: 3260
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [473] rd(rd(rd(A,B),op_d),rd(mult(op_d,A),mult(op_d,B))) -> op_c
% Current number of equations to process: 3353
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [474]
% rd(rd(A,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))),op_d)
% -> rd(rd(A,op_d),op_c)
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [475] rd(rd(unit,rd(rd(A,op_d),op_c)),mult(op_d,rd(unit,A))) -> op_c
% Current number of equations to process: 3598
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [476] mult(rd(unit,rd(rd(A,op_d),op_c)),rd(unit,op_c)) -> rd(rd(unit,A),op_c)
% Current number of equations to process: 3657
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [477]
% mult(rd(unit,rd(A,op_c)),rd(unit,op_c)) -> rd(rd(unit,mult(A,op_d)),op_c)
% Rule
% [476] mult(rd(unit,rd(rd(A,op_d),op_c)),rd(unit,op_c)) -> rd(rd(unit,A),op_c)
% collapsed.
% Current number of equations to process: 3680
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [478]
% mult(op_c,rd(rd(mult(op_d,mult(rd(mult(op_c,A),rd(B,op_d)),op_d)),op_d),op_d))
% -> rd(mult(op_c,rd(A,op_d)),rd(rd(mult(op_d,B),op_d),op_d))
% Current number of equations to process: 3762
% Current number of ordered equations: 1
% Current number of rules: 298
% New rule produced :
% [479]
% mult(op_c,rd(rd(mult(op_d,mult(rd(rd(A,op_d),mult(op_c,B)),op_d)),op_d),op_d))
% -> mult(op_c,rd(rd(mult(op_d,A),op_d),B))
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [480] mult(op_c,rd(rd(mult(op_d,A),op_d),A)) -> rd(rd(A,op_d),A)
% Current number of equations to process: 3930
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [481] rd(op_c,rd(rd(mult(A,op_d),A),op_d)) -> rd(rd(A,op_d),A)
% Current number of equations to process: 4020
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [482] rd(op_c,rd(A,rd(mult(op_d,A),op_d))) -> rd(rd(A,op_d),A)
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [483] rd(op_c,rd(rd(A,rd(A,op_d)),op_d)) -> rd(unit,rd(A,rd(A,op_d)))
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [484] rd(unit,rd(mult(op_c,A),rd(A,op_d))) -> rd(rd(rd(A,op_d),A),op_c)
% Current number of equations to process: 4131
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [485] rd(unit,rd(rd(mult(op_c,A),op_c),A)) <-> rd(rd(A,mult(A,op_d)),op_c)
% Current number of equations to process: 4253
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [486] rd(rd(A,mult(A,op_d)),op_c) <-> rd(unit,rd(rd(mult(op_c,A),op_c),A))
% Current number of equations to process: 4253
% Current number of ordered equations: 0
% Current number of rules: 306
% Rule [485]
% rd(unit,rd(rd(mult(op_c,A),op_c),A)) <-> rd(rd(A,mult(A,op_d)),op_c) is composed into
% [485]
% rd(unit,rd(rd(mult(op_c,A),op_c),A)) <-> rd(unit,rd(op_c,rd(A,mult(A,op_d))))
% Rule [195] rd(A,rd(mult(op_c,A),op_c)) <-> rd(rd(A,mult(A,op_d)),op_c) is composed into
% [195] rd(A,rd(mult(op_c,A),op_c)) <-> rd(unit,rd(op_c,rd(A,mult(A,op_d))))
% New rule produced :
% [487] rd(rd(A,mult(A,op_d)),op_c) -> rd(unit,rd(op_c,rd(A,mult(A,op_d))))
% Rule [196] rd(rd(A,mult(A,op_d)),op_c) <-> rd(A,rd(mult(op_c,A),op_c))
% collapsed.
% Rule
% [486] rd(rd(A,mult(A,op_d)),op_c) <-> rd(unit,rd(rd(mult(op_c,A),op_c),A))
% collapsed.
% Current number of equations to process: 4333
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [488] rd(rd(A,rd(A,op_c)),op_c) -> rd(unit,rd(op_c,rd(A,rd(A,op_c))))
% Rule
% [414]
% rd(rd(unit,rd(unit,op_c)),op_c) -> rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))
% collapsed.
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 305
% Rule [484] rd(unit,rd(mult(op_c,A),rd(A,op_d))) -> rd(rd(rd(A,op_d),A),op_c) is composed into
% [484]
% rd(unit,rd(mult(op_c,A),rd(A,op_d))) -> rd(unit,rd(op_c,rd(rd(A,op_d),A)))
% Rule [201] rd(rd(A,op_d),mult(op_c,A)) -> rd(rd(rd(A,op_d),A),op_c) is composed into
% [201] rd(rd(A,op_d),mult(op_c,A)) -> rd(unit,rd(op_c,rd(rd(A,op_d),A)))
% New rule produced :
% [489] rd(rd(rd(A,op_d),A),op_c) -> rd(unit,rd(op_c,rd(rd(A,op_d),A)))
% Current number of equations to process: 4403
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [490]
% rd(rd(op_c,mult(op_c,A)),rd(unit,op_c)) ->
% rd(rd(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(A,op_d)),op_d),op_c)
% Current number of equations to process: 4546
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [491] rd(rd(A,op_c),rd(rd(A,op_d),op_c)) -> rd(unit,rd(rd(A,op_d),A))
% Current number of equations to process: 4575
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [492]
% mult(rd(A,op_c),rd(rd(B,op_d),op_c)) ->
% rd(mult(A,rd(mult(op_d,B),op_d)),op_c)
% Rule
% [209]
% mult(rd(unit,op_c),rd(rd(A,op_d),op_c)) -> rd(rd(mult(op_d,A),op_d),op_c)
% collapsed.
% Current number of equations to process: 4663
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [493] rd(mult(rd(A,C),mult(C,B)),A) -> rd(rd(mult(A,B),C),rd(A,C))
% Current number of equations to process: 4776
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [494]
% mult(rd(A,op_d),rd(B,mult(op_d,op_d))) ->
% rd(mult(A,mult(op_c,rd(B,op_d))),op_d)
% Current number of equations to process: 2903
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [495]
% rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),rd(rd(mult(op_c,rd(op_c,op_d)),
% rd(rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c)))),op_d)),op_c))
% -> op_d
% Current number of equations to process: 2989
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [496] mult(rd(rd(A,op_d),op_c),rd(unit,rd(unit,op_c))) -> rd(A,rd(unit,op_c))
% Current number of equations to process: 3016
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [497]
% mult(rd(A,op_c),rd(unit,rd(unit,op_c))) -> rd(mult(A,op_d),rd(unit,op_c))
% Rule
% [496] mult(rd(rd(A,op_d),op_c),rd(unit,rd(unit,op_c))) -> rd(A,rd(unit,op_c))
% collapsed.
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [498] rd(A,mult(rd(A,B),mult(B,op_d))) -> rd(rd(mult(A,op_c),B),rd(A,B))
% Current number of equations to process: 3112
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [499] rd(mult(A,B),mult(mult(rd(unit,B),C),B)) <-> mult(rd(A,C),B)
% Rule [118] rd(mult(A,B),mult(mult(rd(unit,B),A),B)) -> B collapsed.
% Current number of equations to process: 3261
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [500] mult(rd(A,C),B) <-> rd(mult(A,B),mult(mult(rd(unit,B),C),B))
% Current number of equations to process: 3261
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [501] rd(A,mult(mult(rd(unit,B),C),B)) <-> mult(rd(rd(A,B),C),B)
% Rule [78] rd(A,mult(mult(rd(unit,B),rd(A,B)),B)) -> B collapsed.
% Rule
% [164]
% mult(rd(C,A),mult(A,mult(mult(rd(unit,mult(mult(rd(unit,A),rd(C,A)),A)),
% rd(B,mult(mult(rd(unit,A),rd(C,A)),A))),mult(
% mult(
% rd(unit,A),
% rd(C,A)),A))))
% -> mult(A,B) collapsed.
% Rule [299] rd(B,mult(mult(rd(unit,B),A),B)) -> mult(rd(unit,A),B) collapsed.
% Current number of equations to process: 3319
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [502] mult(rd(rd(A,B),C),B) <-> rd(A,mult(mult(rd(unit,B),C),B))
% Current number of equations to process: 3319
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [503] mult(rd(A,rd(B,mult(B,C))),B) -> rd(mult(A,B),rd(unit,C))
% Rule [227] mult(rd(A,rd(B,mult(B,op_d))),B) -> rd(mult(A,B),op_c) collapsed.
% Current number of equations to process: 3446
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [504] rd(op_d,mult(rd(unit,rd(unit,op_c)),op_d)) -> rd(unit,op_c)
% Current number of equations to process: 3712
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [505] rd(A,rd(B,mult(B,C))) <-> rd(rd(mult(A,B),rd(unit,C)),B)
% Current number of equations to process: 4406
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [506] rd(rd(mult(A,B),rd(unit,C)),B) <-> rd(A,rd(B,mult(B,C)))
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [507] mult(rd(unit,op_c),mult(rd(unit,rd(unit,op_c)),op_d)) -> op_d
% Current number of equations to process: 4495
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [508] rd(rd(A,C),rd(C,mult(C,B))) <-> rd(rd(A,rd(unit,B)),C)
% Rule [430] rd(rd(rd(unit,A),B),rd(B,mult(B,A))) -> rd(unit,B) collapsed.
% Current number of equations to process: 4795
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [509] rd(rd(A,rd(unit,B)),C) <-> rd(rd(A,C),rd(C,mult(C,B)))
% Current number of equations to process: 4795
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [510] rd(mult(op_d,rd(unit,op_c)),rd(op_d,op_c)) -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 4896
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [511] mult(rd(op_d,rd(unit,op_c)),rd(op_d,op_c)) -> mult(op_d,rd(unit,op_c))
% Current number of equations to process: 1839
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [512]
% mult(op_d,rd(rd(op_c,rd(op_c,op_d)),op_c)) ->
% rd(mult(op_d,rd(unit,op_c)),op_c)
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 321
% Rule [356]
% mult(rd(unit,mult(A,op_d)),op_d) <->
% rd(op_d,mult(rd(mult(op_c,A),op_c),op_d)) is composed into [356]
% mult(
% rd(unit,
% mult(A,op_d)),op_d)
% <->
% rd(op_d,
% rd(mult(
% mult(op_c,A),op_d),
% rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))
% Rule [354]
% mult(rd(unit,mult(op_d,A)),op_d) ->
% rd(op_d,mult(rd(rd(A,op_d),op_c),op_d)) is composed into [354]
% mult(rd(unit,
% mult(op_d,A)),op_d)
% ->
% rd(op_d,
% rd(mult(
% rd(A,op_d),op_d),
% rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))
% Rule [353]
% mult(rd(op_c,mult(A,op_d)),op_d) <->
% rd(unit,mult(rd(mult(op_c,A),op_c),op_d)) is composed into [353]
% mult(
% rd(op_c,
% mult(A,op_d)),op_d)
% <->
% rd(unit,
% rd(mult(
% mult(op_c,A),op_d),
% rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))
% Rule [351]
% mult(rd(op_c,mult(op_d,A)),op_d) ->
% rd(unit,mult(rd(rd(A,op_d),op_c),op_d)) is composed into [351]
% mult(rd(op_c,
% mult(op_d,A)),op_d)
% ->
% rd(unit,
% rd(mult(
% rd(A,op_d),op_d),
% rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))
% Rule [113]
% mult(mult(A,op_d),op_d) <-> mult(op_d,mult(rd(mult(op_c,A),op_c),op_d)) is composed into
% [113]
% mult(mult(A,op_d),op_d) <->
% mult(op_d,rd(mult(mult(op_c,A),op_d),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))))
% Rule [109]
% mult(mult(op_c,A),B) <->
% mult(op_c,mult(rd(A,op_d),mult(op_c,rd(rd(mult(mult(op_d,op_d),mult(
% rd(B,op_c),op_d)),op_d),op_d)))) is composed into
% [109]
% mult(mult(op_c,A),B) <->
% mult(op_c,mult(rd(A,op_d),mult(op_c,rd(rd(mult(mult(op_d,op_d),rd(mult(B,op_d),
% rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))),op_d),op_d))))
% New rule produced :
% [513]
% mult(rd(A,op_c),op_d) ->
% rd(mult(A,op_d),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))
% Rule
% [112] mult(op_d,mult(rd(mult(op_c,A),op_c),op_d)) <-> mult(mult(A,op_d),op_d)
% collapsed.
% Rule [139] rd(rd(A,op_c),mult(rd(A,op_c),op_d)) -> rd(A,rd(A,op_c))
% collapsed.
% Rule
% [168] rd(mult(op_d,mult(rd(A,op_c),op_d)),op_d) -> mult(op_d,mult(A,op_d))
% collapsed.
% Rule [249] mult(rd(A,rd(A,op_c)),mult(rd(A,op_c),op_d)) -> rd(A,op_c)
% collapsed.
% Rule
% [266]
% rd(rd(unit,mult(rd(A,op_c),op_d)),op_d) -> rd(op_c,mult(op_d,mult(A,op_d)))
% collapsed.
% Rule
% [284]
% rd(rd(op_d,mult(rd(A,op_c),op_d)),op_d) -> rd(unit,mult(op_d,mult(A,op_d)))
% collapsed.
% Rule
% [352]
% rd(unit,mult(rd(mult(op_c,A),op_c),op_d)) <->
% mult(rd(op_c,mult(A,op_d)),op_d) collapsed.
% Rule
% [355]
% rd(op_d,mult(rd(mult(op_c,A),op_c),op_d)) <->
% mult(rd(unit,mult(A,op_d)),op_d) collapsed.
% Rule
% [384] rd(mult(mult(A,op_d),op_d),mult(rd(mult(op_c,A),op_c),op_d)) -> op_d
% collapsed.
% Rule
% [389]
% mult(rd(unit,op_c),op_d) -> rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c)
% collapsed.
% Rule
% [452]
% mult(op_d,mult(rd(rd(rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c),op_d),op_c),op_d))
% -> mult(op_d,mult(rd(rd(unit,op_c),op_c),op_d)) collapsed.
% Current number of equations to process: 1952
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [514]
% mult(mult(op_d,mult(A,op_d)),mult(op_d,B)) ->
% mult(op_d,mult(rd(mult(A,op_d),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),B))
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [515]
% rd(mult(op_d,mult(rd(A,rd(unit,op_c)),op_d)),op_d) -> mult(op_d,mult(A,op_c))
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [516]
% rd(rd(mult(op_d,mult(op_d,op_d)),op_d),op_d) ->
% mult(op_d,rd(op_d,rd(unit,op_c)))
% Current number of equations to process: 2244
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [517]
% mult(rd(A,op_d),mult(op_d,mult(B,op_d))) ->
% rd(mult(A,rd(mult(B,op_d),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))),op_d)
% Current number of equations to process: 2320
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [518]
% rd(mult(rd(unit,op_c),A),rd(op_d,op_c)) <->
% rd(rd(rd(mult(op_d,mult(A,op_c)),op_d),op_d),op_c)
% Current number of equations to process: 2444
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [519]
% rd(rd(rd(mult(op_d,mult(A,op_c)),op_d),op_d),op_c) <->
% rd(mult(rd(unit,op_c),A),rd(op_d,op_c))
% Current number of equations to process: 2444
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [520] rd(rd(rd(unit,A),B),rd(unit,B)) -> rd(unit,rd(rd(A,B),rd(unit,B)))
% Current number of equations to process: 2566
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [521]
% mult(rd(unit,op_c),rd(unit,rd(op_d,rd(unit,op_c)))) -> rd(rd(op_d,op_c),op_d)
% Current number of equations to process: 2649
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [522]
% mult(op_c,rd(rd(mult(op_d,mult(rd(A,rd(rd(B,op_d),op_c)),op_d)),op_d),op_d))
% -> rd(mult(A,op_c),rd(mult(op_d,B),op_d))
% Rule
% [245]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_c,rd(rd(A,op_d),op_c)),op_d)),op_d),op_d))
% ->
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(mult(op_d,A),op_d))
% collapsed.
% Current number of equations to process: 2692
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [523]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_c,rd(op_c,rd(A,op_d))),op_d)),op_d),op_d))
% -> rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(rd(op_d,A),op_d))
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [524]
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(mult(rd(op_c,
% rd(B,op_d)),
% mult(op_d,op_d)),op_d)))),op_d),op_d))
% <-> mult(mult(A,op_c),rd(rd(op_d,B),op_d))
% Current number of equations to process: 2884
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [525]
% mult(mult(A,op_c),rd(rd(op_d,B),op_d)) <->
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(mult(rd(op_c,
% rd(B,op_d)),
% mult(op_d,op_d)),op_d)))),op_d),op_d))
% Current number of equations to process: 2884
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [526]
% mult(rd(op_c,rd(A,op_d)),rd(B,op_d)) ->
% mult(op_c,rd(mult(rd(op_d,A),B),op_d))
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [527]
% mult(op_c,mult(rd(rd(op_d,A),op_d),B)) ->
% mult(rd(op_c,rd(A,op_d)),mult(op_c,B))
% Current number of equations to process: 3172
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [528]
% mult(mult(op_c,A),rd(op_c,rd(B,op_d))) ->
% mult(op_c,mult(rd(A,op_d),rd(op_d,B)))
% Current number of equations to process: 3172
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [529]
% rd(mult(rd(op_c,rd(A,op_d)),B),op_c) <->
% mult(op_c,mult(rd(op_d,A),mult(B,op_d)))
% Current number of equations to process: 3384
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [530]
% mult(op_c,mult(rd(op_d,A),mult(B,op_d))) <->
% rd(mult(rd(op_c,rd(A,op_d)),B),op_c)
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [531]
% mult(op_c,rd(rd(mult(op_d,mult(rd(A,rd(op_c,rd(B,op_d))),op_d)),op_d),op_d))
% -> rd(mult(A,op_c),rd(rd(op_d,B),op_d))
% Rule
% [523]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_c,rd(op_c,rd(A,op_d))),op_d)),op_d),op_d))
% -> rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(rd(op_d,A),op_d))
% collapsed.
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [532]
% rd(op_c,rd(mult(A,op_d),mult(op_d,op_d))) ->
% rd(rd(rd(op_c,rd(A,op_d)),op_c),op_d)
% Current number of equations to process: 3676
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [533]
% rd(rd(unit,rd(mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d)),rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))),op_d)
% -> rd(op_c,mult(A,op_d))
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [534] rd(rd(op_c,rd(rd(mult(op_d,A),op_d),op_d)),op_c) -> rd(unit,rd(A,op_d))
% Current number of equations to process: 3796
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [535]
% rd(mult(op_c,rd(rd(op_c,rd(A,op_d)),op_d)),rd(op_c,op_d)) ->
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(mult(op_c,A),op_d))
% Current number of equations to process: 3840
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [536]
% rd(rd(op_c,rd(rd(unit,A),op_d)),op_c) ->
% rd(unit,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(A,op_d)))
% Current number of equations to process: 3840
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [537]
% rd(A,mult(A,rd(mult(op_c,B),op_c))) -> rd(mult(A,rd(op_c,B)),mult(A,op_c))
% Current number of equations to process: 3958
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [538]
% mult(op_c,rd(rd(mult(op_d,mult(rd(A,B),op_d)),op_d),op_d)) ->
% rd(mult(A,op_c),rd(rd(mult(op_d,mult(B,op_d)),op_d),op_d))
% Rule
% [246]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_c,rd(A,op_d)),op_d)),op_d),op_d)) ->
% mult(op_c,rd(rd(op_d,A),op_d)) collapsed.
% Rule
% [248]
% mult(op_c,rd(rd(mult(op_d,mult(rd(unit,rd(A,op_d)),op_d)),op_d),op_d)) ->
% rd(op_c,rd(rd(mult(op_d,A),op_d),op_d)) collapsed.
% Rule
% [258]
% mult(op_c,rd(rd(mult(op_d,mult(rd(unit,rd(A,rd(unit,op_c))),op_d)),op_d),op_d))
% -> rd(rd(unit,mult(A,op_c)),op_d) collapsed.
% Rule
% [447]
% mult(op_c,rd(rd(mult(op_d,mult(rd(mult(op_c,rd(A,op_d)),A),op_d)),op_d),op_d))
% -> mult(op_c,rd(rd(A,mult(A,op_d)),op_d)) collapsed.
% Rule
% [478]
% mult(op_c,rd(rd(mult(op_d,mult(rd(mult(op_c,A),rd(B,op_d)),op_d)),op_d),op_d))
% -> rd(mult(op_c,rd(A,op_d)),rd(rd(mult(op_d,B),op_d),op_d)) collapsed.
% Rule
% [479]
% mult(op_c,rd(rd(mult(op_d,mult(rd(rd(A,op_d),mult(op_c,B)),op_d)),op_d),op_d))
% -> mult(op_c,rd(rd(mult(op_d,A),op_d),B)) collapsed.
% Rule
% [522]
% mult(op_c,rd(rd(mult(op_d,mult(rd(A,rd(rd(B,op_d),op_c)),op_d)),op_d),op_d))
% -> rd(mult(A,op_c),rd(mult(op_d,B),op_d)) collapsed.
% Rule
% [531]
% mult(op_c,rd(rd(mult(op_d,mult(rd(A,rd(op_c,rd(B,op_d))),op_d)),op_d),op_d))
% -> rd(mult(A,op_c),rd(rd(op_d,B),op_d)) collapsed.
% Current number of equations to process: 4047
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [539]
% mult(rd(unit,op_c),rd(mult(A,op_c),B)) ->
% rd(mult(rd(unit,op_c),A),rd(B,op_c))
% Current number of equations to process: 4266
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [540] rd(rd(mult(op_c,rd(A,op_d)),rd(B,op_d)),rd(A,B)) -> op_c
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [541]
% mult(op_c,rd(mult(A,mult(B,op_d)),C)) <-> rd(mult(mult(op_c,A),B),rd(C,op_d))
% Current number of equations to process: 4557
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [542]
% rd(mult(mult(op_c,A),B),rd(C,op_d)) <-> mult(op_c,rd(mult(A,mult(B,op_d)),C))
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [543]
% rd(op_c,mult(op_d,rd(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(rd(mult(op_d,mult(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_d)),op_d),op_d)),
% rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d)))) ->
% op_c
% Current number of equations to process: 4781
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [544]
% rd(rd(mult(A,op_c),mult(op_d,B)),op_c) -> rd(A,rd(rd(rd(B,op_d),op_c),op_c))
% Current number of equations to process: 4808
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [545]
% rd(rd(mult(A,op_c),mult(B,op_d)),op_c) <->
% rd(A,rd(rd(mult(op_c,B),op_c),op_c))
% Current number of equations to process: 4872
% Current number of ordered equations: 1
% Current number of rules: 333
% New rule produced :
% [546]
% rd(A,rd(rd(mult(op_c,B),op_c),op_c)) <->
% rd(rd(mult(A,op_c),mult(B,op_d)),op_c)
% Current number of equations to process: 4872
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [547]
% rd(A,rd(mult(op_c,B),mult(op_c,C))) <-> rd(rd(mult(A,op_c),rd(B,C)),op_c)
% Current number of equations to process: 1967
% Current number of ordered equations: 1
% Current number of rules: 335
% New rule produced :
% [548]
% rd(rd(mult(A,op_c),rd(B,C)),op_c) <-> rd(A,rd(mult(op_c,B),mult(op_c,C)))
% Current number of equations to process: 1967
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [549]
% rd(mult(A,B),rd(mult(op_c,B),op_c)) <-> rd(mult(A,rd(B,mult(B,op_d))),op_c)
% Current number of equations to process: 2399
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [550]
% rd(mult(A,rd(B,mult(B,op_d))),op_c) <-> rd(mult(A,B),rd(mult(op_c,B),op_c))
% Current number of equations to process: 2399
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [551]
% rd(mult(op_c,A),rd(mult(op_c,B),op_c)) <->
% rd(rd(mult(op_c,rd(A,op_d)),B),op_c)
% Current number of equations to process: 2589
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [552]
% rd(rd(mult(op_c,rd(A,op_d)),B),op_c) <->
% rd(mult(op_c,A),rd(mult(op_c,B),op_c))
% Rule
% [219]
% rd(rd(mult(op_c,rd(A,op_d)),op_d),op_c) -> rd(mult(op_c,A),rd(unit,op_c))
% collapsed.
% Rule
% [449]
% rd(rd(mult(op_c,rd(A,op_d)),A),op_c) ->
% rd(mult(op_c,A),rd(mult(op_c,A),op_c)) collapsed.
% Current number of equations to process: 2589
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [553]
% rd(rd(A,rd(mult(op_d,B),op_d)),op_c) -> rd(rd(A,op_c),rd(rd(B,op_d),op_c))
% Current number of equations to process: 2760
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [554]
% rd(rd(unit,rd(unit,op_c)),mult(op_c,A)) ->
% rd(rd(rd(op_c,op_d),rd(A,op_d)),op_c)
% Current number of equations to process: 2829
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [555]
% rd(rd(A,rd(rd(op_d,B),op_d)),op_c) -> rd(rd(A,op_c),rd(op_c,rd(B,op_d)))
% Rule
% [268] rd(rd(op_c,rd(rd(op_d,A),op_d)),op_c) -> rd(unit,rd(op_c,rd(A,op_d)))
% collapsed.
% Rule
% [495]
% rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),rd(rd(mult(op_c,rd(op_c,op_d)),
% rd(rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c)))),op_d)),op_c))
% -> op_d collapsed.
% Current number of equations to process: 2881
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [556]
% rd(rd(A,mult(op_d,mult(B,op_d))),op_c) -> rd(rd(A,op_c),rd(rd(B,op_c),op_c))
% Current number of equations to process: 2958
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [557] rd(rd(A,mult(op_d,op_d)),op_c) -> rd(rd(A,op_c),rd(rd(unit,op_c),op_c))
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [558] rd(rd(rd(A,op_d),rd(B,op_d)),rd(mult(op_d,A),B)) -> op_c
% Current number of equations to process: 3100
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [559] rd(rd(unit,rd(A,op_d)),rd(mult(op_d,op_d),A)) -> op_c
% Current number of equations to process: 3126
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [560] rd(rd(unit,A),rd(mult(op_d,op_d),mult(A,op_d))) -> op_c
% Current number of equations to process: 3229
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [561]
% mult(op_c,mult(A,rd(mult(B,op_d),B))) -> rd(mult(op_c,mult(A,B)),rd(B,op_d))
% Current number of equations to process: 3332
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [562] rd(rd(rd(mult(A,op_d),A),op_d),op_c) -> rd(unit,rd(rd(A,op_d),A))
% Current number of equations to process: 3401
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [563] rd(rd(mult(op_c,A),rd(B,op_d)),rd(mult(A,op_d),B)) -> op_c
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [564] rd(mult(rd(mult(op_c,A),rd(A,op_d)),A),op_d) -> mult(op_c,A)
% Current number of equations to process: 3576
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [565]
% mult(rd(mult(op_c,A),rd(A,op_d)),A) ->
% mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d))
% Rule [564] rd(mult(rd(mult(op_c,A),rd(A,op_d)),A),op_d) -> mult(op_c,A)
% collapsed.
% Current number of equations to process: 3729
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [566]
% mult(rd(unit,op_c),rd(rd(unit,op_c),rd(op_c,rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))))))
% -> op_d
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [567]
% rd(rd(A,rd(rd(mult(op_d,mult(B,op_d)),op_d),op_d)),op_c) -> rd(rd(A,op_c),B)
% Current number of equations to process: 3863
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [568]
% rd(rd(mult(op_d,mult(op_c,A)),op_d),op_d) ->
% rd(A,rd(mult(op_d,mult(op_d,op_d)),op_d))
% Current number of equations to process: 3950
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [569]
% rd(rd(A,mult(op_c,rd(B,op_d))),op_d) -> rd(rd(A,op_d),rd(B,mult(op_d,op_d)))
% Current number of equations to process: 4036
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [570]
% rd(rd(A,op_d),mult(op_d,mult(B,op_d))) <->
% rd(rd(A,rd(mult(B,op_d),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))),op_d)
% Current number of equations to process: 4166
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [571]
% rd(rd(A,rd(mult(B,op_d),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))),op_d) <->
% rd(rd(A,op_d),mult(op_d,mult(B,op_d)))
% Current number of equations to process: 4166
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [572]
% rd(A,rd(mult(B,op_d),mult(op_d,op_d))) <->
% rd(rd(mult(A,op_d),mult(op_c,B)),op_d)
% Current number of equations to process: 4411
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [573]
% rd(rd(mult(A,op_d),mult(op_c,B)),op_d) <->
% rd(A,rd(mult(B,op_d),mult(op_d,op_d)))
% Current number of equations to process: 4411
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [574]
% rd(A,rd(mult(op_d,B),mult(op_d,C))) <-> rd(rd(mult(A,op_d),rd(B,C)),op_d)
% Current number of equations to process: 4706
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [575]
% rd(rd(mult(A,op_d),rd(B,C)),op_d) <-> rd(A,rd(mult(op_d,B),mult(op_d,C)))
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [576]
% mult(op_c,rd(rd(mult(op_d,op_d),A),op_d)) ->
% rd(op_c,rd(rd(mult(op_d,A),op_d),op_d))
% Current number of equations to process: 1269
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [577]
% rd(rd(rd(mult(A,op_d),B),op_d),op_c) -> rd(rd(A,op_c),rd(rd(B,op_d),op_c))
% Rule [562] rd(rd(rd(mult(A,op_d),A),op_d),op_c) -> rd(unit,rd(rd(A,op_d),A))
% collapsed.
% Current number of equations to process: 1343
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [578]
% rd(mult(A,B),rd(mult(op_d,B),op_d)) <-> rd(mult(A,rd(mult(B,op_d),B)),op_d)
% Current number of equations to process: 1438
% Current number of ordered equations: 1
% Current number of rules: 360
% New rule produced :
% [579]
% rd(mult(A,rd(mult(B,op_d),B)),op_d) <-> rd(mult(A,B),rd(mult(op_d,B),op_d))
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [580]
% rd(A,mult(A,rd(mult(op_d,B),op_d))) -> rd(mult(A,rd(op_d,B)),mult(A,op_d))
% Current number of equations to process: 1666
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [581]
% rd(rd(op_d,rd(mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d)),rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))),op_d)
% -> rd(unit,mult(A,op_d))
% Current number of equations to process: 1750
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [582]
% mult(rd(A,rd(B,mult(op_d,op_d))),op_d) ->
% rd(mult(A,op_d),mult(op_c,rd(B,op_d)))
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [583]
% mult(rd(A,mult(op_d,mult(B,op_d))),op_d) ->
% rd(mult(A,op_d),rd(mult(B,op_d),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))))
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [584]
% mult(rd(unit,op_c),A) <-> rd(rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d),op_c)
% Current number of equations to process: 2146
% Current number of ordered equations: 1
% Current number of rules: 366
% New rule produced :
% [585]
% rd(rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d),op_c) <-> mult(rd(unit,op_c),A)
% Current number of equations to process: 2146
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [586]
% mult(rd(unit,op_c),rd(A,rd(unit,op_c))) <->
% rd(rd(mult(op_d,mult(A,op_c)),op_d),op_c)
% Current number of equations to process: 2330
% Current number of ordered equations: 1
% Current number of rules: 368
% New rule produced :
% [587]
% rd(rd(mult(op_d,mult(A,op_c)),op_d),op_c) <->
% mult(rd(unit,op_c),rd(A,rd(unit,op_c)))
% Current number of equations to process: 2330
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [588] rd(mult(B,mult(rd(unit,B),rd(A,B))),B) -> rd(A,mult(B,B))
% Current number of equations to process: 2456
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [589]
% rd(unit,rd(mult(A,op_c),rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))))))
% <-> rd(rd(op_c,mult(rd(unit,op_c),A)),op_c)
% Current number of equations to process: 2712
% Current number of ordered equations: 1
% Current number of rules: 371
% New rule produced :
% [590]
% rd(rd(op_c,mult(rd(unit,op_c),A)),op_c) <->
% rd(unit,rd(mult(A,op_c),rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))))))
% Current number of equations to process: 2712
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [591]
% rd(rd(unit,rd(unit,rd(unit,op_c))),rd(op_d,op_c)) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [592]
% rd(mult(rd(A,op_c),rd(op_c,op_d)),A) -> rd(rd(A,op_c),rd(mult(A,op_d),op_c))
% Current number of equations to process: 2892
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [593]
% rd(mult(op_c,rd(op_c,op_d)),rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))))
% ->
% rd(op_c,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(op_c,op_d)))
% Current number of equations to process: 3066
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [594] mult(rd(unit,A),rd(mult(B,A),C)) -> rd(mult(rd(unit,A),B),rd(C,A))
% Rule
% [539]
% mult(rd(unit,op_c),rd(mult(A,op_c),B)) ->
% rd(mult(rd(unit,op_c),A),rd(B,op_c)) collapsed.
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced : [595] mult(rd(unit,A),rd(A,B)) -> rd(rd(unit,A),rd(B,A))
% Rule [262] mult(rd(unit,op_c),rd(op_c,A)) -> rd(rd(unit,op_c),rd(A,op_c))
% collapsed.
% Rule [437] mult(rd(unit,rd(A,op_d)),rd(rd(A,op_d),A)) -> rd(op_c,rd(A,op_d))
% collapsed.
% Current number of equations to process: 3167
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [596] rd(rd(unit,rd(A,op_d)),rd(A,rd(A,op_d))) -> rd(op_c,rd(A,op_d))
% Current number of equations to process: 3247
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced : [597] rd(rd(rd(unit,A),rd(B,A)),rd(A,B)) -> rd(unit,A)
% Rule [324] rd(rd(rd(unit,op_c),rd(A,op_c)),rd(op_c,A)) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 3629
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced : [598] rd(rd(rd(unit,A),B),rd(A,mult(B,A))) -> rd(unit,A)
% Rule [350] rd(rd(rd(unit,op_c),A),rd(op_c,mult(A,op_c))) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 3924
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [599] rd(A,rd(mult(B,C),mult(B,V_3))) <-> rd(rd(mult(A,B),rd(C,V_3)),B)
% Rule
% [547]
% rd(A,rd(mult(op_c,B),mult(op_c,C))) <-> rd(rd(mult(A,op_c),rd(B,C)),op_c)
% collapsed.
% Rule
% [574]
% rd(A,rd(mult(op_d,B),mult(op_d,C))) <-> rd(rd(mult(A,op_d),rd(B,C)),op_d)
% collapsed.
% Current number of equations to process: 4315
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [600] rd(rd(mult(A,B),rd(C,V_3)),B) <-> rd(A,rd(mult(B,C),mult(B,V_3)))
% Rule
% [548]
% rd(rd(mult(A,op_c),rd(B,C)),op_c) <-> rd(A,rd(mult(op_c,B),mult(op_c,C)))
% collapsed.
% Rule
% [575]
% rd(rd(mult(A,op_d),rd(B,C)),op_d) <-> rd(A,rd(mult(op_d,B),mult(op_d,C)))
% collapsed.
% Current number of equations to process: 4315
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [601]
% rd(op_c,rd(rd(mult(A,B),A),op_d)) <-> mult(op_c,rd(rd(mult(op_d,A),B),A))
% Current number of equations to process: 2122
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [602]
% mult(op_c,rd(rd(mult(op_d,A),B),A)) <-> rd(op_c,rd(rd(mult(A,B),A),op_d))
% Rule
% [576]
% mult(op_c,rd(rd(mult(op_d,op_d),A),op_d)) ->
% rd(op_c,rd(rd(mult(op_d,A),op_d),op_d)) collapsed.
% Current number of equations to process: 2122
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [603] rd(mult(A,B),rd(mult(C,B),C)) <-> rd(mult(A,rd(mult(B,C),B)),C)
% Rule
% [578]
% rd(mult(A,B),rd(mult(op_d,B),op_d)) <-> rd(mult(A,rd(mult(B,op_d),B)),op_d)
% collapsed.
% Current number of equations to process: 2353
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [604] rd(mult(A,rd(mult(B,C),B)),C) <-> rd(mult(A,B),rd(mult(C,B),C))
% Rule
% [579]
% rd(mult(A,rd(mult(B,op_d),B)),op_d) <-> rd(mult(A,B),rd(mult(op_d,B),op_d))
% collapsed.
% Current number of equations to process: 2353
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [605]
% rd(mult(op_c,mult(A,mult(B,op_d))),B) -> rd(mult(op_c,A),rd(B,mult(B,op_d)))
% Current number of equations to process: 2891
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [606] rd(op_c,rd(mult(rd(A,op_d),B),A)) -> rd(mult(op_c,rd(A,B)),rd(A,op_d))
% Current number of equations to process: 3054
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [607] rd(mult(op_c,A),rd(A,op_d)) -> rd(op_c,rd(rd(A,op_d),A))
% Rule
% [484]
% rd(unit,rd(mult(op_c,A),rd(A,op_d))) -> rd(unit,rd(op_c,rd(rd(A,op_d),A)))
% collapsed.
% Rule
% [565]
% mult(rd(mult(op_c,A),rd(A,op_d)),A) ->
% mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d)) collapsed.
% Current number of equations to process: 3080
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [608]
% mult(rd(op_c,rd(rd(A,op_d),A)),A) ->
% mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d))
% Current number of equations to process: 3126
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [609] mult(rd(op_c,rd(rd(A,op_d),A)),rd(A,op_d)) -> mult(op_c,A)
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [610]
% rd(op_c,rd(rd(A,mult(A,op_d)),op_d)) <->
% mult(op_c,rd(rd(mult(op_d,A),op_c),A))
% Current number of equations to process: 3443
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [611]
% mult(op_c,rd(rd(mult(op_d,A),op_c),A)) <->
% rd(op_c,rd(rd(A,mult(A,op_d)),op_d))
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 379
% Rule [561]
% mult(op_c,mult(A,rd(mult(B,op_d),B))) ->
% rd(mult(op_c,mult(A,B)),rd(B,op_d)) is composed into [561]
% mult(op_c,mult(A,
% rd(
% mult(B,op_d),B)))
% ->
% rd(mult(op_c,A),
% rd(rd(B,op_d),B))
% Rule [285]
% mult(op_c,mult(A,rd(unit,op_c))) ->
% rd(mult(op_c,mult(A,op_c)),rd(op_c,op_d)) is composed into [285]
% mult(op_c,
% mult(A,
% rd(unit,op_c)))
% ->
% rd(mult(op_c,A),
% rd(rd(op_c,op_d),op_c))
% New rule produced :
% [612]
% rd(mult(op_c,mult(A,B)),rd(B,op_d)) -> rd(mult(op_c,A),rd(rd(B,op_d),B))
% Current number of equations to process: 3593
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [613]
% rd(mult(A,op_c),rd(B,mult(B,op_d))) <-> rd(mult(A,rd(mult(op_c,B),op_c)),B)
% Current number of equations to process: 3790
% Current number of ordered equations: 1
% Current number of rules: 381
% New rule produced :
% [614]
% rd(mult(A,rd(mult(op_c,B),op_c)),B) <-> rd(mult(A,op_c),rd(B,mult(B,op_d)))
% Current number of equations to process: 3790
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [615]
% rd(rd(A,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))),op_c) ->
% rd(rd(A,op_c),rd(unit,rd(unit,op_c)))
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [616] rd(A,mult(A,rd(mult(B,C),B))) -> rd(mult(A,rd(B,C)),mult(A,B))
% Rule
% [537]
% rd(A,mult(A,rd(mult(op_c,B),op_c))) -> rd(mult(A,rd(op_c,B)),mult(A,op_c))
% collapsed.
% Rule
% [580]
% rd(A,mult(A,rd(mult(op_d,B),op_d))) -> rd(mult(A,rd(op_d,B)),mult(A,op_d))
% collapsed.
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [617] rd(rd(B,mult(rd(unit,B),A)),B) <-> rd(unit,rd(mult(A,B),mult(B,B)))
% Current number of equations to process: 4243
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [618] rd(unit,rd(mult(A,B),mult(B,B))) <-> rd(rd(B,mult(rd(unit,B),A)),B)
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [619] rd(rd(A,rd(unit,op_c)),rd(unit,rd(unit,op_c))) -> rd(rd(A,op_d),op_c)
% Rule [256] rd(rd(op_d,rd(unit,op_c)),rd(unit,rd(unit,op_c))) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 4536
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [620]
% rd(rd(op_c,rd(op_d,rd(unit,op_c))),op_c) -> rd(op_c,rd(unit,rd(unit,op_c)))
% Current number of equations to process: 4539
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [621] rd(rd(rd(op_c,rd(op_d,rd(unit,op_c))),op_d),op_c) -> op_c
% Current number of equations to process: 4607
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [622] rd(op_c,mult(op_d,rd(op_c,rd(op_d,rd(unit,op_c))))) -> op_c
% Current number of equations to process: 4651
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced : [623] mult(op_d,rd(op_c,rd(op_d,rd(unit,op_c)))) -> unit
% Rule [622] rd(op_c,mult(op_d,rd(op_c,rd(op_d,rd(unit,op_c))))) -> op_c
% collapsed.
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced : [624] rd(unit,rd(op_c,rd(op_d,rd(unit,op_c)))) -> op_d
% Current number of equations to process: 4684
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [625] rd(rd(op_d,rd(op_c,rd(op_d,rd(unit,op_c)))),op_d) -> rd(unit,op_c)
% Current number of equations to process: 4761
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [626] rd(rd(A,mult(mult(rd(unit,B),C),B)),B) -> rd(rd(A,B),C)
% Current number of equations to process: 4823
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [627] rd(A,mult(A,rd(B,mult(B,op_d)))) -> rd(mult(A,rd(B,op_c)),mult(A,B))
% Current number of equations to process: 4944
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [628]
% mult(rd(rd(A,rd(unit,rd(unit,A))),A),rd(A,rd(A,rd(unit,rd(unit,A))))) -> unit
% Current number of equations to process: 1424
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [629]
% rd(unit,rd(op_c,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(op_c,op_d)))) ->
% rd(op_c,rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))))
% Current number of equations to process: 1502
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [630]
% rd(mult(op_d,rd(op_d,rd(unit,op_c))),op_c) ->
% rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))
% Current number of equations to process: 1568
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [631]
% rd(mult(op_c,mult(A,mult(op_d,op_d))),rd(unit,op_c)) -> rd(mult(op_c,A),op_c)
% Current number of equations to process: 1606
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [632]
% rd(mult(mult(op_d,A),rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))),op_d)
% -> mult(op_d,mult(A,op_d))
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [633] mult(op_d,rd(op_c,rd(unit,rd(unit,op_c)))) -> rd(unit,op_c)
% Current number of equations to process: 1745
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [634] rd(rd(unit,op_c),rd(op_c,rd(unit,rd(unit,op_c)))) -> op_d
% Current number of equations to process: 1773
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [635] rd(unit,rd(unit,rd(op_d,rd(unit,op_c)))) -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [636]
% mult(rd(unit,rd(unit,op_c)),op_d) -> rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))
% Rule
% [337]
% rd(unit,mult(rd(unit,rd(unit,op_c)),op_d)) -> rd(op_c,rd(unit,rd(unit,op_c)))
% collapsed.
% Rule
% [436]
% mult(op_d,mult(rd(unit,rd(unit,op_c)),op_d)) ->
% mult(rd(op_d,rd(unit,op_c)),op_d) collapsed.
% Rule [504] rd(op_d,mult(rd(unit,rd(unit,op_c)),op_d)) -> rd(unit,op_c)
% collapsed.
% Rule [507] mult(rd(unit,op_c),mult(rd(unit,rd(unit,op_c)),op_d)) -> op_d
% collapsed.
% Current number of equations to process: 1868
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [637]
% mult(op_d,mult(op_c,rd(rd(rd(op_c,rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))))),op_d),op_d)))
% -> op_c
% Current number of equations to process: 1974
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [638]
% mult(rd(op_c,op_d),rd(unit,rd(unit,op_c))) ->
% rd(rd(rd(mult(op_c,rd(op_c,op_d)),op_d),rd(mult(op_d,rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% mult(op_d,op_d))),op_c)
% Current number of equations to process: 2027
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [639]
% mult(rd(unit,rd(rd(op_d,op_c),op_d)),rd(unit,op_c)) -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 2074
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [640] mult(rd(op_c,rd(mult(op_d,A),mult(op_d,B))),op_d) -> rd(unit,rd(A,B))
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [641]
% rd(unit,rd(mult(op_c,A),rd(unit,op_c))) ->
% rd(rd(op_c,rd(A,mult(op_d,op_d))),op_c)
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [642]
% rd(unit,rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) ->
% rd(op_c,rd(unit,rd(unit,op_c)))
% Current number of equations to process: 2350
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [643]
% rd(rd(op_c,rd(unit,mult(op_d,A))),op_c) ->
% rd(unit,rd(op_c,rd(rd(A,op_d),op_c)))
% Current number of equations to process: 2395
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [644]
% rd(unit,rd(op_c,rd(mult(op_c,A),op_c))) <->
% rd(rd(op_c,rd(unit,mult(A,op_d))),op_c)
% Current number of equations to process: 2450
% Current number of ordered equations: 1
% Current number of rules: 404
% New rule produced :
% [645]
% rd(rd(op_c,rd(unit,mult(A,op_d))),op_c) <->
% rd(unit,rd(op_c,rd(mult(op_c,A),op_c)))
% Current number of equations to process: 2450
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [646]
% rd(rd(op_c,rd(unit,rd(op_d,A))),op_c) ->
% rd(unit,rd(op_c,rd(op_c,rd(A,op_d))))
% Current number of equations to process: 2605
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [647]
% mult(rd(unit,rd(unit,op_c)),mult(op_c,A)) ->
% rd(mult(rd(op_c,op_d),rd(A,op_d)),op_c)
% Current number of equations to process: 2661
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [648]
% mult(rd(A,op_c),rd(op_c,rd(B,op_d))) -> rd(mult(A,rd(rd(op_d,B),op_d)),op_c)
% Current number of equations to process: 2764
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [649] mult(rd(unit,rd(mult(op_d,A),mult(op_d,B))),op_d) -> rd(op_d,rd(A,B))
% Current number of equations to process: 2931
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [650] mult(rd(unit,rd(unit,op_c)),rd(unit,rd(op_d,rd(unit,op_c)))) -> op_c
% Current number of equations to process: 3065
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [651]
% mult(rd(op_d,op_c),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) ->
% rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))
% Current number of equations to process: 3114
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [652] mult(rd(unit,rd(A,rd(A,B))),rd(A,B)) -> rd(rd(A,B),B)
% Current number of equations to process: 3153
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [653]
% mult(rd(op_d,rd(unit,op_c)),op_d) -> rd(op_d,rd(op_c,rd(unit,rd(unit,op_c))))
% Rule [317] mult(op_d,rd(unit,mult(rd(op_d,rd(unit,op_c)),op_d))) -> unit
% collapsed.
% Rule [318] rd(unit,rd(unit,mult(rd(op_d,rd(unit,op_c)),op_d))) -> op_d
% collapsed.
% Rule
% [342]
% mult(op_d,mult(rd(op_d,rd(unit,op_c)),op_d)) ->
% rd(mult(op_d,mult(op_d,op_d)),op_d) collapsed.
% Rule
% [345]
% rd(rd(unit,mult(rd(op_d,rd(unit,op_c)),op_d)),op_d) ->
% rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))) collapsed.
% Current number of equations to process: 3544
% Current number of ordered equations: 0
% Current number of rules: 409
% Rule [516]
% rd(rd(mult(op_d,mult(op_d,op_d)),op_d),op_d) ->
% mult(op_d,rd(op_d,rd(unit,op_c))) is composed into [516]
% rd(rd(mult(op_d,
% mult(op_d,op_d)),op_d),op_d)
% ->
% rd(mult(op_d,op_d),
% rd(unit,op_c))
% New rule produced :
% [654] mult(op_d,rd(op_d,rd(unit,op_c))) -> rd(mult(op_d,op_d),rd(unit,op_c))
% Rule
% [468] rd(rd(op_d,rd(unit,op_c)),mult(op_d,rd(op_d,rd(unit,op_c)))) -> op_c
% collapsed.
% Rule
% [630]
% rd(mult(op_d,rd(op_d,rd(unit,op_c))),op_c) ->
% rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))
% collapsed.
% Current number of equations to process: 3637
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [655] rd(rd(op_d,rd(unit,op_c)),rd(mult(op_d,op_d),rd(unit,op_c))) -> op_c
% Current number of equations to process: 3714
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [656] rd(rd(op_c,rd(mult(op_d,op_d),rd(unit,op_c))),op_c) -> op_c
% Current number of equations to process: 3729
% Current number of ordered equations: 0
% Current number of rules: 410
% Rule [644]
% rd(unit,rd(op_c,rd(mult(op_c,A),op_c))) <->
% rd(rd(op_c,rd(unit,mult(A,op_d))),op_c) is composed into [644]
% rd(unit,
% rd(op_c,
% rd(mult(op_c,A),op_c)))
% ->
% rd(unit,
% rd(rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),A),op_c))
% New rule produced :
% [657]
% rd(rd(op_c,rd(unit,mult(A,op_d))),op_c) ->
% rd(unit,rd(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),A),op_c))
% Rule
% [645]
% rd(rd(op_c,rd(unit,mult(A,op_d))),op_c) <->
% rd(unit,rd(op_c,rd(mult(op_c,A),op_c))) collapsed.
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [658] mult(rd(unit,rd(mult(A,B),mult(A,C))),A) -> rd(A,rd(B,C))
% Rule
% [649] mult(rd(unit,rd(mult(op_d,A),mult(op_d,B))),op_d) -> rd(op_d,rd(A,B))
% collapsed.
% Current number of equations to process: 3865
% Current number of ordered equations: 0
% Current number of rules: 410
% Rule [521]
% mult(rd(unit,op_c),rd(unit,rd(op_d,rd(unit,op_c)))) ->
% rd(rd(op_d,op_c),op_d) is composed into [521]
% mult(rd(unit,op_c),rd(unit,
% rd(op_d,
% rd(unit,op_c))))
% ->
% rd(unit,rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))
% Rule [257]
% rd(rd(op_d,rd(unit,op_c)),rd(unit,op_c)) ->
% rd(unit,rd(rd(op_d,op_c),op_d)) is composed into [257]
% rd(rd(op_d,rd(unit,op_c)),
% rd(unit,op_c)) ->
% rd(unit,rd(unit,
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))
% Rule [238] rd(rd(unit,op_c),rd(op_d,op_c)) -> rd(unit,rd(rd(op_d,op_c),op_d)) is composed into
% [238]
% rd(rd(unit,op_c),rd(op_d,op_c)) ->
% rd(unit,rd(unit,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))
% Rule [216] rd(rd(unit,op_c),rd(op_d,rd(unit,op_c))) -> rd(rd(op_d,op_c),op_d) is composed into
% [216]
% rd(rd(unit,op_c),rd(op_d,rd(unit,op_c))) ->
% rd(unit,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))
% New rule produced :
% [659]
% rd(rd(op_d,op_c),op_d) -> rd(unit,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))
% Rule
% [296] mult(rd(rd(op_d,op_c),op_d),rd(op_d,rd(unit,op_c))) -> rd(unit,op_c)
% collapsed.
% Rule
% [321] mult(rd(unit,rd(rd(op_d,op_c),op_d)),rd(op_d,op_c)) -> rd(unit,op_c)
% collapsed.
% Rule [349] rd(rd(unit,rd(rd(op_d,op_c),op_d)),rd(op_c,op_d)) -> rd(unit,op_c)
% collapsed.
% Rule
% [639]
% mult(rd(unit,rd(rd(op_d,op_c),op_d)),rd(unit,op_c)) -> rd(op_d,rd(unit,op_c))
% collapsed.
% Current number of equations to process: 4293
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [660]
% rd(unit,rd(rd(mult(A,op_d),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),
% mult(A,op_d))) -> rd(A,rd(A,op_c))
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [661] mult(rd(op_d,rd(op_d,op_c)),op_d) -> rd(op_d,rd(op_c,rd(op_c,op_d)))
% Current number of equations to process: 4454
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [662] rd(rd(op_d,rd(op_c,rd(op_c,op_d))),op_d) -> rd(op_d,rd(op_d,op_c))
% Current number of equations to process: 4536
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [663] rd(rd(op_c,op_d),rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))) -> op_c
% Current number of equations to process: 4640
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [664]
% mult(rd(A,op_d),rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))) ->
% rd(mult(A,op_c),op_d)
% Current number of equations to process: 4672
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [665]
% mult(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),mult(op_d,A)) ->
% mult(op_d,mult(op_c,A))
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [666]
% rd(op_c,rd(rd(unit,rd(op_d,rd(unit,op_c))),op_d)) -> rd(op_d,rd(unit,op_c))
% Rule
% [465]
% rd(rd(op_c,rd(rd(unit,rd(op_d,rd(unit,op_c))),op_d)),op_d) ->
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))) collapsed.
% Current number of equations to process: 4870
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [667] mult(rd(rd(A,rd(unit,rd(unit,A))),A),mult(A,A)) -> A
% Current number of equations to process: 4906
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [668]
% mult(rd(A,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))),op_d) ->
% rd(mult(A,op_d),op_c)
% Current number of equations to process: 4996
% Current number of ordered equations: 0
% Current number of rules: 415
% Rule [532]
% rd(op_c,rd(mult(A,op_d),mult(op_d,op_d))) ->
% rd(rd(rd(op_c,rd(A,op_d)),op_c),op_d) is composed into [532]
% rd(op_c,rd(
% mult(A,op_d),
% mult(op_d,op_d)))
% ->
% rd(rd(rd(op_c,
% rd(A,op_d)),op_d),
% rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))
% Rule [254]
% mult(rd(op_c,op_d),mult(op_d,op_d)) ->
% rd(rd(rd(op_c,rd(unit,rd(unit,op_c))),op_c),op_d) is composed into
% [254]
% mult(rd(op_c,op_d),mult(op_d,op_d)) ->
% rd(rd(rd(op_c,rd(unit,rd(unit,op_c))),op_d),rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))
% New rule produced :
% [669]
% rd(rd(A,op_c),op_d) ->
% rd(rd(A,op_d),rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))
% Rule
% [323]
% rd(rd(rd(rd(op_c,rd(unit,rd(unit,op_c))),op_c),op_d),mult(op_d,op_d)) ->
% rd(op_c,op_d) collapsed.
% Rule
% [340]
% rd(rd(mult(A,op_d),op_c),op_d) ->
% rd(A,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))) collapsed.
% Rule
% [373]
% rd(rd(mult(op_d,mult(op_d,mult(rd(mult(op_c,rd(rd(A,op_c),op_d)),rd(op_c,op_d)),op_d))),op_d),op_d)
% -> mult(op_d,mult(A,op_d)) collapsed.
% Rule [407] rd(rd(unit,op_c),op_d) -> rd(unit,rd(op_d,rd(unit,op_c)))
% collapsed.
% Rule
% [659]
% rd(rd(op_d,op_c),op_d) -> rd(unit,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))
% collapsed.
% Current number of equations to process: 2583
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [670]
% mult(rd(op_d,rd(unit,op_c)),rd(rd(op_c,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))),op_d))
% -> op_c
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [671]
% rd(rd(op_d,rd(unit,op_c)),rd(op_d,rd(op_c,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))))
% -> op_c
% Current number of equations to process: 2774
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [672]
% rd(mult(rd(op_d,rd(unit,op_c)),rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))),op_d)
% -> op_d
% Current number of equations to process: 2808
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [673] rd(mult(A,rd(op_d,rd(unit,op_c))),mult(A,op_c)) -> rd(mult(A,op_d),A)
% Current number of equations to process: 2877
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [674] rd(rd(op_d,op_c),rd(rd(op_c,rd(unit,rd(unit,op_c))),op_c)) -> op_d
% Current number of equations to process: 2941
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [675] mult(op_d,rd(rd(op_c,rd(unit,rd(unit,op_c))),op_c)) -> rd(op_d,op_c)
% Current number of equations to process: 2947
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [676]
% rd(rd(op_c,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))),rd(op_d,rd(op_d,
% rd(unit,op_c))))
% -> op_c
% Current number of equations to process: 3023
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [677] mult(op_d,rd(unit,rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))))) -> unit
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [678]
% rd(rd(unit,rd(unit,rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))))),op_d) -> unit
% Current number of equations to process: 3100
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [679] rd(unit,rd(unit,rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))))) -> op_d
% Rule
% [678]
% rd(rd(unit,rd(unit,rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))))),op_d) -> unit
% collapsed.
% Current number of equations to process: 3155
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [680] mult(rd(unit,rd(rd(A,op_d),A)),rd(A,op_d)) -> rd(rd(A,op_d),op_c)
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [681]
% mult(mult(op_d,mult(op_c,rd(op_c,op_d))),rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,
% rd(unit,op_c)))))))
% -> unit
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [682]
% rd(rd(op_c,rd(op_d,rd(op_d,A))),op_c) ->
% rd(unit,rd(unit,rd(op_c,rd(A,op_d))))
% Current number of equations to process: 3370
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [683] rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),op_c) -> op_c
% Current number of equations to process: 3431
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [684]
% mult(op_d,mult(rd(op_c,rd(op_d,rd(op_c,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))),op_d))
% -> unit
% Current number of equations to process: 3464
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [685]
% mult(op_c,mult(rd(unit,op_c),rd(rd(A,op_c),op_c))) -> rd(A,rd(op_c,op_d))
% Current number of equations to process: 3558
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [686]
% mult(op_c,mult(rd(unit,op_c),rd(A,op_c))) <-> rd(mult(A,op_c),rd(op_c,op_d))
% Current number of equations to process: 3597
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [687]
% rd(mult(A,op_c),rd(op_c,op_d)) <-> mult(op_c,mult(rd(unit,op_c),rd(A,op_c)))
% Current number of equations to process: 3597
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [688] mult(A,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))) -> unit
% Current number of equations to process: 3878
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [689] mult(rd(unit,rd(rd(A,op_c),A)),rd(A,op_c)) -> rd(rd(A,op_d),op_c)
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [690]
% rd(unit,rd(op_c,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))) ->
% rd(op_d,rd(unit,op_c))
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [691]
% rd(rd(mult(op_d,op_d),rd(unit,op_c)),op_c) ->
% rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))
% Current number of equations to process: 4198
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [692]
% mult(rd(unit,rd(unit,rd(unit,op_c))),rd(op_c,op_d)) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [693] mult(rd(unit,op_c),rd(rd(op_c,rd(A,op_d)),op_c)) -> rd(rd(op_d,A),op_c)
% Current number of equations to process: 4288
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [694]
% mult(op_c,mult(mult(op_d,mult(A,op_d)),B)) ->
% rd(mult(rd(A,op_c),rd(B,op_d)),op_c)
% Current number of equations to process: 4374
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [695]
% rd(mult(op_d,mult(A,op_c)),rd(op_d,rd(unit,op_c))) -> rd(mult(op_d,A),op_d)
% Current number of equations to process: 4507
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [696]
% rd(mult(A,mult(op_c,A)),mult(A,op_c)) -> rd(mult(A,op_c),rd(A,mult(A,op_d)))
% Current number of equations to process: 4562
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [697] rd(mult(A,mult(B,A)),mult(A,B)) -> rd(mult(A,B),rd(mult(A,B),A))
% Rule
% [696]
% rd(mult(A,mult(op_c,A)),mult(A,op_c)) -> rd(mult(A,op_c),rd(A,mult(A,op_d)))
% collapsed.
% Current number of equations to process: 4631
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [698]
% rd(op_c,rd(mult(A,mult(A,op_c)),A)) <-> rd(rd(rd(mult(op_c,A),op_c),A),A)
% Current number of equations to process: 4954
% Current number of ordered equations: 1
% Current number of rules: 438
% New rule produced :
% [699]
% rd(rd(rd(mult(op_c,A),op_c),A),A) <-> rd(op_c,rd(mult(A,mult(A,op_c)),A))
% Current number of equations to process: 4954
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [700]
% rd(A,mult(A,rd(op_d,rd(unit,op_c)))) ->
% rd(mult(A,rd(unit,op_c)),mult(A,op_d))
% Current number of equations to process: 2470
% Current number of ordered equations: 0
% Current number of rules: 440
% Rule [699]
% rd(rd(rd(mult(op_c,A),op_c),A),A) <->
% rd(op_c,rd(mult(A,mult(A,op_c)),A)) is composed into [699]
% rd(rd(rd(mult(op_c,A),op_c),A),A)
% <->
% rd(rd(op_c,
% rd(A,mult(A,op_d))),A)
% New rule produced :
% [701]
% rd(op_c,rd(mult(A,mult(A,op_c)),A)) -> rd(rd(op_c,rd(A,mult(A,op_d))),A)
% Rule
% [698]
% rd(op_c,rd(mult(A,mult(A,op_c)),A)) <-> rd(rd(rd(mult(op_c,A),op_c),A),A)
% collapsed.
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [702]
% mult(rd(op_c,rd(A,rd(A,op_c))),A) -> rd(mult(op_c,rd(A,op_d)),rd(op_c,op_d))
% Current number of equations to process: 2583
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [703]
% mult(rd(op_c,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 2810
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [704] rd(rd(rd(op_c,rd(A,op_d)),op_c),mult(rd(op_d,A),op_d)) -> op_c
% Current number of equations to process: 2914
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [705]
% mult(rd(unit,rd(op_c,op_d)),rd(unit,rd(unit,op_c))) -> rd(op_c,rd(op_c,op_d))
% Current number of equations to process: 2979
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [706]
% rd(rd(op_c,rd(op_c,op_d)),rd(unit,rd(unit,op_c))) -> rd(unit,rd(op_c,op_d))
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [707]
% rd(op_d,rd(mult(op_d,op_d),rd(unit,op_c))) ->
% rd(rd(op_d,rd(op_d,rd(unit,op_c))),op_d)
% Current number of equations to process: 3056
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [708]
% mult(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d) -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [709]
% rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_c) -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 3206
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [710] rd(rd(unit,rd(unit,rd(unit,op_c))),mult(op_d,rd(unit,op_c))) -> op_c
% Current number of equations to process: 3241
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [711] rd(rd(unit,rd(A,op_c)),mult(op_d,rd(unit,mult(A,op_d)))) -> op_c
% Current number of equations to process: 3273
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [712] rd(rd(rd(A,op_d),A),rd(rd(mult(op_d,A),op_d),A)) -> op_c
% Current number of equations to process: 3383
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [713] mult(rd(rd(A,op_d),A),rd(rd(mult(A,op_d),A),op_d)) -> op_c
% Current number of equations to process: 3447
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [714] rd(unit,mult(rd(rd(A,op_d),A),op_d)) -> rd(op_c,rd(rd(A,op_d),A))
% Current number of equations to process: 3485
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [715] rd(unit,mult(rd(A,mult(A,op_d)),op_d)) -> rd(op_c,rd(A,mult(A,op_d)))
% Current number of equations to process: 3560
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [716] rd(rd(rd(A,op_d),A),rd(op_d,rd(mult(A,op_d),A))) -> op_c
% Current number of equations to process: 3718
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [717] mult(rd(rd(A,op_d),A),rd(A,rd(mult(op_d,A),op_d))) -> op_c
% Current number of equations to process: 3780
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [718] rd(rd(mult(A,rd(B,op_d)),op_c),A) -> rd(rd(mult(A,B),op_c),rd(A,op_c))
% Current number of equations to process: 3860
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [719]
% rd(op_c,rd(rd(mult(op_c,A),op_c),A)) ->
% rd(mult(op_c,A),rd(mult(op_c,A),op_c))
% Current number of equations to process: 4001
% Current number of ordered equations: 0
% Current number of rules: 458
% Rule [512]
% mult(op_d,rd(rd(op_c,rd(op_c,op_d)),op_c)) ->
% rd(mult(op_d,rd(unit,op_c)),op_c) is composed into [512]
% mult(op_d,rd(
% rd(op_c,
% rd(op_c,op_d)),op_c))
% ->
% rd(rd(mult(op_d,op_d),
% rd(unit,rd(op_c,
% rd(unit,
% rd(unit,op_c))))),op_c)
% Rule [511]
% mult(rd(op_d,rd(unit,op_c)),rd(op_d,op_c)) -> mult(op_d,rd(unit,op_c)) is composed into
% [511]
% mult(rd(op_d,rd(unit,op_c)),rd(op_d,op_c)) ->
% rd(mult(op_d,op_d),rd(unit,rd(op_c,rd(unit,rd(unit,op_c)))))
% Rule [455]
% rd(rd(mult(op_c,rd(rd(rd(mult(op_c,rd(rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d),op_d)),op_d),op_d),op_d)),
% rd(rd(mult(op_d,mult(op_d,rd(mult(op_d,mult(op_d,op_d)),op_d))),op_d),
% rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d))),rd(rd(mult(op_d,
% mult(op_d,
% mult(op_d,op_d))),
% mult(op_d,op_d)),
% rd(mult(op_d,
% mult(op_d,op_d)),op_d)))
% ->
% mult(op_c,rd(rd(rd(mult(op_d,op_d),mult(op_d,rd(unit,op_c))),op_d),op_d)) is composed into
% [455]
% rd(rd(mult(op_c,rd(rd(rd(mult(op_c,rd(rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d),op_d)),op_d),op_d),op_d)),
% rd(rd(mult(op_d,mult(op_d,rd(mult(op_d,mult(op_d,op_d)),op_d))),op_d),
% rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d))),rd(rd(mult(op_d,mult(op_d,
% mult(op_d,op_d))),
% mult(op_d,op_d)),
% rd(mult(op_d,mult(op_d,op_d)),op_d)))
% ->
% mult(op_c,rd(rd(rd(mult(op_d,op_d),rd(mult(op_d,op_d),rd(unit,rd(op_c,
% rd(unit,
% rd(unit,op_c)))))),op_d),op_d))
% Rule [316]
% mult(rd(op_d,rd(op_d,rd(unit,op_c))),op_d) -> mult(op_d,rd(unit,op_c)) is composed into
% [316]
% mult(rd(op_d,rd(op_d,rd(unit,op_c))),op_d) ->
% rd(mult(op_d,op_d),rd(unit,rd(op_c,rd(unit,rd(unit,op_c)))))
% New rule produced :
% [720]
% mult(op_d,rd(unit,op_c)) ->
% rd(mult(op_d,op_d),rd(unit,rd(op_c,rd(unit,rd(unit,op_c)))))
% Rule
% [510] rd(mult(op_d,rd(unit,op_c)),rd(op_d,op_c)) -> rd(op_d,rd(unit,op_c))
% collapsed.
% Rule
% [710] rd(rd(unit,rd(unit,rd(unit,op_c))),mult(op_d,rd(unit,op_c))) -> op_c
% collapsed.
% Current number of equations to process: 4061
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [721]
% mult(rd(unit,rd(unit,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),rd(unit,op_c))
% -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 4111
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [722]
% rd(rd(mult(A,op_d),rd(unit,op_c)),op_d) ->
% rd(A,rd(op_d,rd(op_d,rd(unit,op_c))))
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [723]
% rd(rd(A,rd(mult(op_d,op_d),rd(unit,op_c))),op_c) ->
% rd(rd(A,op_d),rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))
% Rule [656] rd(rd(op_c,rd(mult(op_d,op_d),rd(unit,op_c))),op_c) -> op_c
% collapsed.
% Current number of equations to process: 4272
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [724]
% rd(rd(rd(A,mult(op_d,op_d)),op_d),op_c) ->
% rd(rd(rd(A,op_d),op_c),rd(op_d,op_c))
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [725]
% mult(rd(unit,op_c),rd(unit,rd(A,op_d))) ->
% rd(rd(op_d,op_c),rd(rd(A,op_d),op_c))
% Current number of equations to process: 4417
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [726] mult(rd(unit,op_c),rd(unit,A)) -> rd(rd(op_d,op_c),rd(A,op_c))
% Rule
% [417] mult(rd(unit,op_c),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) -> op_d
% collapsed.
% Rule
% [521]
% mult(rd(unit,op_c),rd(unit,rd(op_d,rd(unit,op_c)))) ->
% rd(unit,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))) collapsed.
% Rule
% [725]
% mult(rd(unit,op_c),rd(unit,rd(A,op_d))) ->
% rd(rd(op_d,op_c),rd(rd(A,op_d),op_c)) collapsed.
% Current number of equations to process: 4444
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [727] rd(rd(rd(op_d,op_c),rd(A,op_c)),rd(unit,A)) -> rd(unit,op_c)
% Current number of equations to process: 4527
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [728] rd(rd(rd(op_d,op_c),A),rd(unit,mult(A,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 4590
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [729] rd(mult(rd(A,op_c),rd(op_c,B)),A) -> rd(rd(A,op_c),rd(mult(A,B),op_c))
% Rule
% [592]
% rd(mult(rd(A,op_c),rd(op_c,op_d)),A) -> rd(rd(A,op_c),rd(mult(A,op_d),op_c))
% collapsed.
% Current number of equations to process: 4699
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [730] rd(mult(A,op_c),rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d)) -> op_c
% Current number of equations to process: 4926
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [731]
% mult(rd(unit,op_c),rd(A,mult(A,op_d))) ->
% rd(mult(rd(unit,op_c),A),rd(A,op_c))
% Current number of equations to process: 4980
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [732] rd(rd(mult(op_c,rd(A,op_d)),B),rd(A,mult(B,op_d))) -> op_c
% Rule [448] rd(rd(mult(op_c,rd(A,op_d)),A),rd(A,mult(A,op_d))) -> op_c
% collapsed.
% Rule [471] rd(rd(mult(op_c,rd(A,op_d)),op_d),rd(A,mult(op_d,op_d))) -> op_c
% collapsed.
% Current number of equations to process: 1631
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [733]
% rd(A,rd(rd(op_c,rd(B,op_d)),op_c)) <-> rd(rd(mult(A,op_c),rd(op_d,B)),op_c)
% Current number of equations to process: 1778
% Current number of ordered equations: 1
% Current number of rules: 463
% New rule produced :
% [734]
% rd(rd(mult(A,op_c),rd(op_d,B)),op_c) <-> rd(A,rd(rd(op_c,rd(B,op_d)),op_c))
% Current number of equations to process: 1778
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [735]
% rd(mult(A,rd(B,op_d)),mult(op_c,B)) <-> rd(mult(A,rd(rd(B,op_d),B)),op_c)
% Current number of equations to process: 2079
% Current number of ordered equations: 1
% Current number of rules: 465
% New rule produced :
% [736]
% rd(mult(A,rd(rd(B,op_d),B)),op_c) <-> rd(mult(A,rd(B,op_d)),mult(op_c,B))
% Current number of equations to process: 2079
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [737] rd(rd(A,rd(B,op_d)),rd(mult(op_d,mult(A,op_d)),B)) -> op_c
% Current number of equations to process: 2312
% Current number of ordered equations: 1
% Current number of rules: 467
% New rule produced :
% [738] rd(rd(rd(A,op_d),B),rd(mult(op_d,A),mult(B,op_d))) -> op_c
% Current number of equations to process: 2312
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [739]
% rd(unit,rd(rd(unit,rd(A,op_d)),op_c)) <->
% rd(rd(op_c,rd(mult(op_d,op_d),A)),op_c)
% Current number of equations to process: 2607
% Current number of ordered equations: 1
% Current number of rules: 469
% New rule produced :
% [740]
% rd(rd(op_c,rd(mult(op_d,op_d),A)),op_c) <->
% rd(unit,rd(rd(unit,rd(A,op_d)),op_c))
% Current number of equations to process: 2607
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [741]
% rd(rd(mult(op_d,op_d),mult(A,op_d)),op_c) <->
% mult(rd(unit,op_c),rd(rd(unit,A),op_c))
% Current number of equations to process: 2788
% Current number of ordered equations: 1
% Current number of rules: 471
% New rule produced :
% [742]
% mult(rd(unit,op_c),rd(rd(unit,A),op_c)) <->
% rd(rd(mult(op_d,op_d),mult(A,op_d)),op_c)
% Current number of equations to process: 2788
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [743] rd(rd(mult(op_c,A),B),rd(mult(A,op_d),mult(B,op_d))) -> op_c
% Rule [422] rd(rd(mult(op_c,A),op_d),rd(mult(A,op_d),mult(op_d,op_d))) -> op_c
% collapsed.
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [744] rd(mult(rd(A,op_d),rd(op_d,B)),A) -> rd(rd(A,op_d),rd(mult(A,B),op_d))
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [745] mult(A,mult(rd(rd(unit,A),rd(B,A)),A)) -> mult(rd(A,B),A)
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [746] mult(op_d,mult(rd(op_c,rd(A,op_d)),op_d)) -> mult(rd(op_d,A),op_d)
% Current number of equations to process: 3314
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [747] mult(rd(A,mult(B,A)),A) -> mult(A,mult(rd(rd(unit,A),B),A))
% Current number of equations to process: 3340
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [748] mult(rd(op_c,rd(A,op_d)),rd(A,rd(A,op_d))) -> rd(unit,rd(A,op_d))
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [749]
% rd(op_c,rd(A,mult(A,rd(op_d,A)))) <-> rd(mult(op_c,A),rd(mult(A,A),op_d))
% Current number of equations to process: 4091
% Current number of ordered equations: 1
% Current number of rules: 478
% New rule produced :
% [750]
% rd(mult(op_c,A),rd(mult(A,A),op_d)) <-> rd(op_c,rd(A,mult(A,rd(op_d,A))))
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [751] rd(rd(op_c,rd(rd(A,op_d),A)),rd(mult(A,op_d),A)) -> op_c
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [752] rd(op_c,rd(mult(A,A),mult(A,op_d))) -> rd(rd(op_c,rd(rd(A,op_d),A)),A)
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [753]
% rd(rd(mult(op_c,A),op_c),mult(op_c,A)) -> rd(rd(op_c,rd(rd(A,op_d),A)),op_c)
% Current number of equations to process: 4415
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [754]
% rd(mult(A,mult(op_c,B)),rd(B,op_d)) -> rd(mult(A,op_c),rd(rd(B,op_d),B))
% Current number of equations to process: 4465
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [755] rd(mult(rd(A,B),rd(B,C)),A) -> rd(rd(A,B),rd(mult(A,C),B))
% Rule
% [729] rd(mult(rd(A,op_c),rd(op_c,B)),A) -> rd(rd(A,op_c),rd(mult(A,B),op_c))
% collapsed.
% Rule
% [744] rd(mult(rd(A,op_d),rd(op_d,B)),A) -> rd(rd(A,op_d),rd(mult(A,B),op_d))
% collapsed.
% Current number of equations to process: 4600
% Current number of ordered equations: 0
% Current number of rules: 482
% Rule [432]
% rd(mult(op_c,A),mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d))) ->
% rd(mult(op_c,rd(A,op_d)),mult(op_c,A)) is composed into [432]
% rd(mult(op_c,A),
% mult(op_c,
% rd(mult(A,
% mult(op_d,op_d)),op_d)))
% ->
% rd(op_c,
% rd(op_c,
% rd(rd(A,op_d),A)))
% New rule produced :
% [756]
% rd(mult(op_c,rd(A,op_d)),mult(op_c,A)) -> rd(op_c,rd(op_c,rd(rd(A,op_d),A)))
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [757]
% mult(op_d,mult(A,rd(op_c,rd(op_d,rd(unit,op_c))))) -> rd(mult(op_d,A),op_d)
% Current number of equations to process: 1341
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [758] rd(A,mult(A,rd(op_c,rd(op_d,rd(unit,op_c))))) -> rd(mult(A,op_d),A)
% Current number of equations to process: 1455
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [759]
% rd(rd(unit,rd(op_c,rd(unit,rd(unit,op_c)))),op_d) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 1513
% Current number of ordered equations: 0
% Current number of rules: 486
% Rule [720]
% mult(op_d,rd(unit,op_c)) ->
% rd(mult(op_d,op_d),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) is composed into
% [720]
% mult(op_d,rd(unit,op_c)) -> rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c)
% Rule [512]
% mult(op_d,rd(rd(op_c,rd(op_c,op_d)),op_c)) ->
% rd(rd(mult(op_d,op_d),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))),op_c) is composed into
% [512]
% mult(op_d,rd(rd(op_c,rd(op_c,op_d)),op_c)) ->
% rd(rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c),op_c)
% Rule [511]
% mult(rd(op_d,rd(unit,op_c)),rd(op_d,op_c)) ->
% rd(mult(op_d,op_d),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) is composed into
% [511]
% mult(rd(op_d,rd(unit,op_c)),rd(op_d,op_c)) ->
% rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c)
% Rule [455]
% rd(rd(mult(op_c,rd(rd(rd(mult(op_c,rd(rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d),op_d)),op_d),op_d),op_d)),
% rd(rd(mult(op_d,mult(op_d,rd(mult(op_d,mult(op_d,op_d)),op_d))),op_d),
% rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d))),rd(rd(mult(op_d,
% mult(op_d,
% mult(op_d,op_d))),
% mult(op_d,op_d)),
% rd(mult(op_d,
% mult(op_d,op_d)),op_d)))
% ->
% mult(op_c,rd(rd(rd(mult(op_d,op_d),rd(mult(op_d,op_d),rd(unit,rd(op_c,
% rd(unit,
% rd(unit,op_c)))))),op_d),op_d)) is composed into
% [455]
% rd(rd(mult(op_c,rd(rd(rd(mult(op_c,rd(rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d),op_d)),op_d),op_d),op_d)),
% rd(rd(mult(op_d,mult(op_d,rd(mult(op_d,mult(op_d,op_d)),op_d))),op_d),
% rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d))),rd(rd(mult(op_d,mult(op_d,
% mult(op_d,op_d))),
% mult(op_d,op_d)),
% rd(mult(op_d,mult(op_d,op_d)),op_d)))
% ->
% mult(op_c,rd(rd(rd(mult(op_d,op_d),rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c)),op_d),op_d))
% Rule [316]
% mult(rd(op_d,rd(op_d,rd(unit,op_c))),op_d) ->
% rd(mult(op_d,op_d),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) is composed into
% [316]
% mult(rd(op_d,rd(op_d,rd(unit,op_c))),op_d) ->
% rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c)
% New rule produced :
% [760]
% rd(mult(op_d,op_d),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) ->
% rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c)
% Current number of equations to process: 1585
% Current number of ordered equations: 0
% Current number of rules: 487
% Rule [636]
% mult(rd(unit,rd(unit,op_c)),op_d) ->
% rd(unit,rd(op_c,rd(unit,rd(unit,op_c)))) is composed into [636]
% mult(rd(unit,
% rd(unit,op_c)),op_d)
% ->
% rd(op_c,
% rd(op_c,
% rd(op_d,
% rd(unit,op_c))))
% New rule produced :
% [761]
% rd(unit,rd(op_c,rd(unit,rd(unit,op_c)))) ->
% rd(op_c,rd(op_c,rd(op_d,rd(unit,op_c))))
% Rule [415] rd(op_d,rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) -> rd(unit,op_c)
% collapsed.
% Rule
% [642]
% rd(unit,rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) ->
% rd(op_c,rd(unit,rd(unit,op_c))) collapsed.
% Rule
% [651]
% mult(rd(op_d,op_c),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) ->
% rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))
% collapsed.
% Rule
% [759]
% rd(rd(unit,rd(op_c,rd(unit,rd(unit,op_c)))),op_d) -> rd(unit,rd(unit,op_c))
% collapsed.
% Rule
% [760]
% rd(mult(op_d,op_d),rd(unit,rd(op_c,rd(unit,rd(unit,op_c))))) ->
% rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c) collapsed.
% Current number of equations to process: 1624
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [762] rd(op_d,rd(op_c,rd(op_c,rd(op_d,rd(unit,op_c))))) -> rd(unit,op_c)
% Current number of equations to process: 1623
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [763]
% rd(rd(op_c,rd(op_c,rd(op_d,rd(unit,op_c)))),op_d) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 1622
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [764]
% rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_d) -> rd(op_d,rd(unit,op_c))
% Current number of equations to process: 1814
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [765] rd(rd(mult(op_d,op_d),rd(unit,op_c)),rd(op_d,rd(unit,op_c))) -> op_d
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 487
% Rule [455]
% rd(rd(mult(op_c,rd(rd(rd(mult(op_c,rd(rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d),op_d)),op_d),op_d),op_d)),
% rd(rd(mult(op_d,mult(op_d,rd(mult(op_d,mult(op_d,op_d)),op_d))),op_d),
% rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d))),rd(rd(mult(op_d,
% mult(op_d,
% mult(op_d,op_d))),
% mult(op_d,op_d)),
% rd(mult(op_d,
% mult(op_d,op_d)),op_d)))
% ->
% mult(op_c,rd(rd(rd(mult(op_d,op_d),rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c)),op_d),op_d)) is composed into
% [455]
% rd(rd(mult(op_c,rd(rd(rd(mult(op_c,rd(rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d),op_d)),op_d),op_d),op_d)),
% rd(rd(mult(op_d,mult(op_d,rd(mult(op_d,mult(op_d,op_d)),op_d))),op_d),
% rd(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d))),rd(rd(mult(op_d,mult(op_d,
% mult(op_d,op_d))),
% mult(op_d,op_d)),
% rd(mult(op_d,mult(op_d,op_d)),op_d)))
% -> mult(op_c,rd(rd(rd(op_d,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d),op_d))
% New rule produced :
% [766]
% rd(mult(op_d,op_d),rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c)) ->
% rd(op_d,rd(op_d,rd(op_d,rd(unit,op_c))))
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [767] rd(op_d,mult(op_d,rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))))) -> op_c
% Current number of equations to process: 1952
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [768] rd(unit,mult(rd(unit,A),rd(rd(unit,rd(unit,A)),A))) -> A
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [769]
% mult(rd(mult(op_d,A),op_d),rd(op_d,rd(unit,op_c))) -> mult(op_d,mult(A,op_c))
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [770]
% rd(rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c),mult(op_d,op_d)) ->
% rd(rd(op_d,rd(op_d,rd(unit,op_c))),op_d)
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [771]
% rd(rd(unit,rd(unit,op_c)),rd(op_c,rd(unit,op_c))) -> rd(op_c,rd(op_c,op_d))
% Current number of equations to process: 2177
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [772]
% rd(op_c,rd(op_c,rd(A,mult(A,op_d)))) <->
% rd(mult(op_c,A),rd(mult(op_c,A),op_c))
% Current number of equations to process: 2212
% Current number of ordered equations: 1
% Current number of rules: 494
% New rule produced :
% [773]
% rd(mult(op_c,A),rd(mult(op_c,A),op_c)) <->
% rd(op_c,rd(op_c,rd(A,mult(A,op_d))))
% Current number of equations to process: 2212
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [774] rd(rd(A,B),rd(mult(op_d,mult(A,op_d)),mult(B,op_d))) -> op_c
% Current number of equations to process: 2345
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [775]
% mult(rd(unit,op_c),rd(rd(unit,op_c),A)) ->
% rd(rd(mult(op_d,op_d),op_c),rd(A,op_c))
% Rule
% [566]
% mult(rd(unit,op_c),rd(rd(unit,op_c),rd(op_c,rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))))))
% -> op_d collapsed.
% Current number of equations to process: 2579
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [776] rd(mult(rd(op_d,A),op_d),mult(rd(op_c,rd(A,op_d)),op_d)) -> op_d
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [777]
% mult(rd(unit,rd(op_d,A)),op_d) <-> rd(op_d,mult(rd(op_c,rd(A,op_d)),op_d))
% Current number of equations to process: 2721
% Current number of ordered equations: 1
% Current number of rules: 498
% New rule produced :
% [778]
% rd(op_d,mult(rd(op_c,rd(A,op_d)),op_d)) <-> mult(rd(unit,rd(op_d,A)),op_d)
% Current number of equations to process: 2721
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [779]
% mult(rd(unit,rd(op_d,mult(A,op_d))),op_d) -> rd(op_d,mult(rd(op_c,A),op_d))
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [780]
% rd(rd(op_d,mult(rd(op_c,A),op_d)),op_d) -> rd(unit,rd(op_d,mult(A,op_d)))
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [781] rd(rd(unit,mult(rd(op_c,rd(A,op_d)),op_d)),op_d) -> rd(op_c,rd(op_d,A))
% Current number of equations to process: 3242
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [782]
% rd(rd(unit,mult(rd(op_c,A),op_d)),op_d) -> rd(op_c,rd(op_d,mult(A,op_d)))
% Rule
% [781] rd(rd(unit,mult(rd(op_c,rd(A,op_d)),op_d)),op_d) -> rd(op_c,rd(op_d,A))
% collapsed.
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [783]
% rd(unit,mult(rd(op_c,rd(A,op_d)),op_d)) <-> mult(rd(op_c,rd(op_d,A)),op_d)
% Current number of equations to process: 3270
% Current number of ordered equations: 1
% Current number of rules: 503
% New rule produced :
% [784]
% mult(rd(op_c,rd(op_d,A)),op_d) <-> rd(unit,mult(rd(op_c,rd(A,op_d)),op_d))
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [785]
% mult(rd(op_c,rd(op_d,mult(A,op_d))),op_d) -> rd(unit,mult(rd(op_c,A),op_d))
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [786]
% mult(rd(op_d,rd(mult(A,op_d),A)),op_d) ->
% mult(op_d,mult(rd(rd(A,op_d),A),op_d))
% Current number of equations to process: 3802
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [787]
% mult(op_d,mult(rd(op_c,rd(mult(op_d,op_d),rd(unit,op_c))),op_d)) -> unit
% Current number of equations to process: 3950
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [788] rd(mult(A,mult(rd(rd(unit,A),B),A)),A) -> rd(A,mult(B,A))
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [789] rd(rd(unit,op_c),mult(rd(op_c,op_d),rd(unit,op_c))) -> rd(op_d,op_c)
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [790] rd(mult(op_d,mult(rd(op_c,A),op_d)),op_d) -> rd(op_d,mult(A,op_d))
% Current number of equations to process: 4074
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [791] mult(rd(op_d,op_c),mult(rd(op_c,op_d),rd(unit,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 4203
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [792] rd(op_d,mult(rd(mult(op_d,op_d),rd(unit,op_c)),op_d)) -> op_c
% Current number of equations to process: 4332
% Current number of ordered equations: 0
% Current number of rules: 512
% Rule [654]
% mult(op_d,rd(op_d,rd(unit,op_c))) -> rd(mult(op_d,op_d),rd(unit,op_c)) is composed into
% [654]
% mult(op_d,rd(op_d,rd(unit,op_c))) -> rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))
% Rule [516]
% rd(rd(mult(op_d,mult(op_d,op_d)),op_d),op_d) ->
% rd(mult(op_d,op_d),rd(unit,op_c)) is composed into [516]
% rd(rd(mult(op_d,
% mult(op_d,op_d)),op_d),op_d)
% ->
% rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,op_c))))
% New rule produced :
% [793]
% rd(mult(op_d,op_d),rd(unit,op_c)) -> rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))
% Rule
% [655] rd(rd(op_d,rd(unit,op_c)),rd(mult(op_d,op_d),rd(unit,op_c))) -> op_c
% collapsed.
% Rule
% [691]
% rd(rd(mult(op_d,op_d),rd(unit,op_c)),op_c) ->
% rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))
% collapsed.
% Rule
% [707]
% rd(op_d,rd(mult(op_d,op_d),rd(unit,op_c))) ->
% rd(rd(op_d,rd(op_d,rd(unit,op_c))),op_d) collapsed.
% Rule
% [723]
% rd(rd(A,rd(mult(op_d,op_d),rd(unit,op_c))),op_c) ->
% rd(rd(A,op_d),rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))) collapsed.
% Rule
% [765] rd(rd(mult(op_d,op_d),rd(unit,op_c)),rd(op_d,rd(unit,op_c))) -> op_d
% collapsed.
% Rule
% [787]
% mult(op_d,mult(rd(op_c,rd(mult(op_d,op_d),rd(unit,op_c))),op_d)) -> unit
% collapsed.
% Rule [792] rd(op_d,mult(rd(mult(op_d,op_d),rd(unit,op_c)),op_d)) -> op_c
% collapsed.
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [794]
% mult(rd(op_c,rd(op_c,op_d)),rd(op_c,rd(unit,op_c))) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 4437
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [795]
% rd(rd(op_c,rd(op_c,op_d)),rd(rd(unit,op_c),op_c)) -> rd(unit,rd(unit,op_c))
% Current number of equations to process: 4484
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [796] rd(A,rd(mult(op_d,mult(mult(A,B),op_d)),mult(B,op_d))) -> op_c
% Current number of equations to process: 4513
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [797]
% rd(rd(unit,rd(op_d,mult(A,op_d))),op_c) ->
% rd(rd(unit,op_c),rd(rd(op_c,A),op_c))
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [798]
% rd(unit,rd(op_d,rd(op_d,rd(op_c,rd(op_c,op_d))))) -> rd(op_d,rd(op_d,op_c))
% Current number of equations to process: 4732
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [799]
% rd(op_c,rd(op_d,rd(mult(A,op_d),A))) -> rd(rd(op_c,rd(rd(A,op_d),A)),op_d)
% Current number of equations to process: 4805
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [800]
% rd(unit,mult(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),op_d)) -> op_d
% Current number of equations to process: 4864
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [801]
% mult(rd(rd(mult(op_d,A),op_d),A),op_d) ->
% mult(op_d,mult(rd(rd(A,op_d),A),op_d))
% Current number of equations to process: 4929
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [802]
% rd(op_c,rd(op_d,mult(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_d))) -> unit
% Current number of equations to process: 1950
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [803]
% rd(rd(A,mult(rd(op_c,B),op_d)),op_d) -> rd(rd(A,op_d),rd(op_d,mult(B,op_d)))
% Rule
% [780]
% rd(rd(op_d,mult(rd(op_c,A),op_d)),op_d) -> rd(unit,rd(op_d,mult(A,op_d)))
% collapsed.
% Rule
% [782]
% rd(rd(unit,mult(rd(op_c,A),op_d)),op_d) -> rd(op_c,rd(op_d,mult(A,op_d)))
% collapsed.
% Current number of equations to process: 1974
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [804]
% mult(rd(A,op_d),rd(op_d,mult(B,op_d))) <->
% rd(mult(A,mult(rd(op_c,B),op_d)),op_d)
% Current number of equations to process: 2137
% Current number of ordered equations: 1
% Current number of rules: 515
% New rule produced :
% [805]
% rd(mult(A,mult(rd(op_c,B),op_d)),op_d) <->
% mult(rd(A,op_d),rd(op_d,mult(B,op_d)))
% Rule [790] rd(mult(op_d,mult(rd(op_c,A),op_d)),op_d) -> rd(op_d,mult(A,op_d))
% collapsed.
% Current number of equations to process: 2137
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [806]
% mult(op_d,mult(mult(rd(op_c,A),op_d),B)) ->
% mult(rd(op_d,mult(A,op_d)),mult(op_d,B))
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [807]
% rd(rd(A,rd(op_d,mult(B,op_d))),op_c) -> rd(rd(A,op_c),rd(rd(op_c,B),op_c))
% Rule
% [338] rd(rd(op_c,rd(op_d,mult(A,op_d))),op_c) -> rd(unit,rd(rd(op_c,A),op_c))
% collapsed.
% Rule
% [797]
% rd(rd(unit,rd(op_d,mult(A,op_d))),op_c) ->
% rd(rd(unit,op_c),rd(rd(op_c,A),op_c)) collapsed.
% Current number of equations to process: 2604
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [808]
% mult(rd(A,rd(op_d,mult(B,op_d))),op_d) ->
% rd(mult(A,op_d),mult(rd(op_c,B),op_d))
% Rule
% [779]
% mult(rd(unit,rd(op_d,mult(A,op_d))),op_d) -> rd(op_d,mult(rd(op_c,A),op_d))
% collapsed.
% Rule
% [785]
% mult(rd(op_c,rd(op_d,mult(A,op_d))),op_d) -> rd(unit,mult(rd(op_c,A),op_d))
% collapsed.
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [809]
% mult(op_c,mult(rd(op_d,mult(A,op_d)),B)) ->
% rd(mult(rd(op_c,A),rd(B,op_d)),op_c)
% Current number of equations to process: 2934
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [810] rd(op_d,mult(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_d)) -> op_c
% Rule
% [802]
% rd(op_c,rd(op_d,mult(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_d))) -> unit
% collapsed.
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [811]
% rd(op_c,rd(rd(mult(op_d,A),op_d),A)) -> rd(rd(op_c,rd(rd(A,op_d),A)),op_d)
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [812]
% mult(op_d,mult(mult(rd(op_c,A),B),op_d)) ->
% mult(rd(op_d,mult(A,op_d)),mult(B,op_d))
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [813] mult(rd(A,rd(A,B)),mult(rd(A,B),C)) -> mult(rd(A,B),mult(B,C))
% Current number of equations to process: 3318
% Current number of ordered equations: 1
% Current number of rules: 518
% New rule produced :
% [814] mult(rd(mult(rd(A,B),C),rd(A,B)),A) -> mult(rd(A,B),mult(C,B))
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced : [815] mult(rd(A,rd(A,B)),A) -> mult(rd(A,B),mult(B,B))
% Rule
% [316]
% mult(rd(op_d,rd(op_d,rd(unit,op_c))),op_d) ->
% rd(rd(op_d,rd(op_c,rd(unit,rd(unit,op_c)))),op_c) collapsed.
% Rule
% [661] mult(rd(op_d,rd(op_d,op_c)),op_d) -> rd(op_d,rd(op_c,rd(op_c,op_d)))
% collapsed.
% Current number of equations to process: 3470
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [816]
% mult(rd(op_d,op_c),rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))))) ->
% rd(op_d,rd(op_c,rd(op_c,op_d)))
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [817]
% mult(op_d,mult(rd(op_c,rd(op_d,rd(unit,op_c))),A)) -> rd(rd(A,op_d),op_c)
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [818]
% mult(op_c,mult(A,rd(op_d,mult(B,op_d)))) <->
% mult(rd(mult(op_c,A),op_c),rd(op_c,B))
% Current number of equations to process: 4172
% Current number of ordered equations: 1
% Current number of rules: 521
% New rule produced :
% [819]
% mult(rd(mult(op_c,A),op_c),rd(op_c,B)) <->
% mult(op_c,mult(A,rd(op_d,mult(B,op_d))))
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [820]
% mult(op_c,mult(A,mult(op_d,mult(B,op_d)))) <->
% mult(rd(mult(op_c,A),op_c),rd(B,op_c))
% Current number of equations to process: 4171
% Current number of ordered equations: 1
% Current number of rules: 523
% New rule produced :
% [821]
% mult(rd(mult(op_c,A),op_c),rd(B,op_c)) <->
% mult(op_c,mult(A,mult(op_d,mult(B,op_d))))
% Current number of equations to process: 4171
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [822] mult(op_c,mult(rd(op_d,A),mult(A,A))) -> rd(unit,rd(op_c,rd(A,op_d)))
% Current number of equations to process: 1497
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [823]
% mult(rd(rd(A,op_d),op_c),rd(B,op_c)) <->
% rd(rd(mult(A,mult(B,op_d)),op_d),op_c)
% Current number of equations to process: 2073
% Current number of ordered equations: 1
% Current number of rules: 526
% New rule produced :
% [824]
% rd(rd(mult(A,mult(B,op_d)),op_d),op_c) <->
% mult(rd(rd(A,op_d),op_c),rd(B,op_c))
% Current number of equations to process: 2073
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [825]
% mult(A,mult(mult(mult(rd(rd(unit,B),rd(A,B)),B),C),mult(mult(rd(unit,B),
% rd(A,B)),B))) ->
% mult(mult(B,C),mult(mult(rd(unit,B),rd(A,B)),B))
% Current number of equations to process: 2687
% Current number of ordered equations: 1
% Current number of rules: 528
% New rule produced :
% [826]
% mult(mult(A,mult(mult(rd(unit,B),rd(C,B)),B)),mult(mult(mult(rd(rd(unit,B),
% rd(C,B)),B),B),
% mult(mult(rd(unit,B),rd(C,B)),B)))
% -> mult(mult(A,B),mult(mult(rd(unit,B),rd(C,B)),B))
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [827]
% mult(op_c,mult(mult(A,op_d),mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)))) ->
% rd(mult(op_c,mult(A,B)),op_c)
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 530
% Rule [463]
% rd(mult(rd(mult(op_c,A),op_c),B),op_c) <->
% mult(op_c,mult(mult(A,op_d),mult(B,op_d))) is composed into [463]
% rd(mult(
% rd(
% mult(op_c,A),op_c),B),op_c)
% <->
% rd(mult(op_c,
% mult(A,
% rd(
% mult(op_d,
% mult(B,op_d)),op_d))),op_c)
% Rule [365]
% mult(rd(rd(mult(op_c,A),op_c),op_c),B) <->
% mult(op_c,mult(mult(A,op_d),rd(rd(mult(op_d,mult(op_d,mult(rd(mult(op_c,
% rd(B,op_d)),
% rd(op_c,op_d)),op_d))),op_d),op_d))) is composed into
% [365]
% mult(rd(rd(mult(op_c,A),op_c),op_c),B) <->
% rd(mult(op_c,mult(A,rd(mult(op_d,rd(rd(mult(op_d,mult(op_d,mult(rd(mult(op_c,
% rd(B,op_d)),
% rd(op_c,op_d)),op_d))),op_d),op_d)),op_d))),op_c)
% New rule produced :
% [828]
% mult(op_c,mult(mult(A,op_d),B)) ->
% rd(mult(op_c,mult(A,rd(mult(op_d,B),op_d))),op_c)
% Rule
% [364]
% mult(op_c,mult(mult(A,op_d),rd(rd(mult(op_d,mult(op_d,mult(rd(mult(op_c,
% rd(B,op_d)),
% rd(op_c,op_d)),op_d))),op_d),op_d)))
% <-> mult(rd(rd(mult(op_c,A),op_c),op_c),B) collapsed.
% Rule
% [462]
% mult(op_c,mult(mult(A,op_d),mult(B,op_d))) <->
% rd(mult(rd(mult(op_c,A),op_c),B),op_c) collapsed.
% Rule
% [827]
% mult(op_c,mult(mult(A,op_d),mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)))) ->
% rd(mult(op_c,mult(A,B)),op_c) collapsed.
% Current number of equations to process: 3890
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [829] mult(A,mult(mult(B,C),A)) <-> mult(rd(mult(A,mult(B,A)),A),mult(C,A))
% Current number of equations to process: 4036
% Current number of ordered equations: 1
% Current number of rules: 529
% New rule produced :
% [830] mult(rd(mult(A,mult(B,A)),A),mult(C,A)) <-> mult(A,mult(mult(B,C),A))
% Current number of equations to process: 4036
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [831] mult(rd(mult(A,mult(op_c,A)),A),mult(op_d,A)) -> mult(A,A)
% Current number of equations to process: 4149
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [832] mult(C,mult(mult(mult(rd(unit,C),A),B),C)) -> mult(A,mult(B,C))
% Current number of equations to process: 4691
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [833] mult(A,mult(mult(rd(B,A),C),A)) -> mult(rd(mult(A,B),A),mult(C,A))
% Rule [42] mult(B,mult(mult(rd(unit,B),A),B)) -> mult(A,B) collapsed.
% Current number of equations to process: 4690
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [834] rd(mult(A,mult(op_c,A)),A) -> rd(mult(A,A),mult(op_d,A))
% Rule [831] mult(rd(mult(A,mult(op_c,A)),A),mult(op_d,A)) -> mult(A,A)
% collapsed.
% Current number of equations to process: 1043
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [835] mult(op_d,mult(mult(mult(op_c,A),B),op_d)) -> mult(A,mult(B,op_d))
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [836] mult(rd(mult(A,A),mult(op_d,A)),A) -> mult(A,mult(op_c,A))
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [837] rd(unit,rd(mult(A,A),mult(op_d,A))) <-> rd(rd(A,mult(op_c,A)),A)
% Current number of equations to process: 1729
% Current number of ordered equations: 1
% Current number of rules: 535
% New rule produced :
% [838] rd(rd(A,mult(op_c,A)),A) <-> rd(unit,rd(mult(A,A),mult(op_d,A)))
% Current number of equations to process: 1729
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [839] rd(rd(mult(A,B),mult(op_c,B)),B) <-> rd(A,rd(mult(B,B),mult(op_d,B)))
% Current number of equations to process: 2195
% Current number of ordered equations: 1
% Current number of rules: 537
% New rule produced :
% [840] rd(A,rd(mult(B,B),mult(op_d,B))) <-> rd(rd(mult(A,B),mult(op_c,B)),B)
% Current number of equations to process: 2195
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [841] rd(mult(A,mult(B,op_d)),mult(mult(mult(op_c,A),B),op_d)) -> op_d
% Current number of equations to process: 2194
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [842] mult(rd(unit,A),rd(mult(A,mult(op_c,A)),B)) -> rd(op_c,rd(B,A))
% Current number of equations to process: 2193
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [843] mult(rd(unit,rd(mult(A,A),mult(op_d,A))),A) -> rd(A,mult(op_c,A))
% Current number of equations to process: 2192
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced : [844] rd(op_c,rd(mult(A,A),mult(op_d,A))) -> rd(unit,A)
% Current number of equations to process: 2252
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [845] mult(A,mult(rd(op_c,rd(B,A)),A)) <-> mult(rd(mult(A,mult(op_c,A)),B),A)
% Current number of equations to process: 2866
% Current number of ordered equations: 1
% Current number of rules: 543
% New rule produced :
% [846] mult(rd(mult(A,mult(op_c,A)),B),A) <-> mult(A,mult(rd(op_c,rd(B,A)),A))
% Current number of equations to process: 2866
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [847]
% mult(mult(rd(A,mult(mult(rd(unit,B),rd(C,B)),B)),B),mult(mult(rd(unit,B),
% rd(C,B)),B)) ->
% mult(A,mult(mult(mult(rd(rd(unit,B),rd(C,B)),B),B),mult(mult(rd(unit,B),
% rd(C,B)),B)))
% Current number of equations to process: 3559
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [848] mult(mult(A,rd(B,rd(B,C))),rd(B,C)) -> mult(mult(A,rd(B,C)),C)
% Current number of equations to process: 4006
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [849]
% mult(C,mult(mult(rd(unit,B),mult(mult(rd(unit,rd(C,B)),rd(A,rd(C,B))),
% rd(C,B))),B)) -> mult(A,B)
% Current number of equations to process: 4546
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [850]
% mult(mult(mult(op_c,rd(rd(mult(op_d,mult(rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,
% rd(unit,op_c)))))),
% mult(rd(mult(op_c,rd(A,op_d)),rd(op_c,op_d)),op_d))),op_d),op_d)),B),op_d)
% ->
% mult(op_d,rd(mult(mult(A,op_d),mult(op_c,rd(rd(mult(B,rd(rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,op_c)))),op_c)),op_d),op_d))),
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [851]
% mult(op_d,mult(mult(rd(mult(op_c,A),op_c),B),op_d)) ->
% mult(mult(A,op_d),rd(mult(op_c,rd(rd(mult(op_c,rd(rd(mult(op_d,mult(rd(op_d,
% rd(
% rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))),
% rd(mult(
% rd(
% mult(op_c,
% rd(B,op_d)),
% rd(op_c,op_d)),op_d),
% mult(mult(
% rd(unit,
% rd(op_d,
% rd(
% rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))),
% rd(unit,
% rd(op_d,
% rd(
% rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))),
% rd(op_d,
% rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))))),op_d),op_d)),op_d),op_d)),
% rd(rd(mult(op_d,mult(op_d,mult(rd(op_d,rd(rd(op_d,rd(
% rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))),
% rd(rd(op_c,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))),
% mult(op_d,rd(op_d,rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))))),
% mult(op_d,op_d)),rd(mult(op_d,mult(op_d,op_d)),op_d))))
% Current number of equations to process: 3412
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [852]
% mult(rd(rd(mult(A,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c)),op_d),
% mult(op_d,op_d)),mult(op_d,B)) -> mult(rd(A,op_d),mult(op_d,B))
% Current number of equations to process: 3571
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [853]
% mult(op_d,mult(A,mult(op_c,rd(rd(mult(B,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c)),op_d),op_d))))
% <-> mult(rd(mult(op_d,A),op_d),B)
% Current number of equations to process: 3726
% Current number of ordered equations: 1
% Current number of rules: 551
% New rule produced :
% [854]
% mult(rd(mult(op_d,A),op_d),B) <->
% mult(op_d,mult(A,mult(op_c,rd(rd(mult(B,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c)),op_d),op_d))))
% Rule
% [769]
% mult(rd(mult(op_d,A),op_d),rd(op_d,rd(unit,op_c))) -> mult(op_d,mult(A,op_c))
% collapsed.
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [855]
% mult(mult(rd(A,rd(unit,op_c)),op_d),mult(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),op_d))
% -> mult(A,op_c)
% Current number of equations to process: 4067
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [856]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),
% mult(rd(mult(op_c,mult(A,rd(mult(op_d,mult(op_c,
% rd(op_c,op_d))),
% mult(op_d,rd(rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))),op_d))))),
% rd(op_c,op_d)),op_d))),op_d),op_d)) ->
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),
% mult(rd(mult(op_c,A),rd(unit,rd(unit,op_c))),op_d))),op_d),op_d))
% Current number of equations to process: 4165
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [857]
% rd(mult(rd(unit,op_c),A),rd(unit,op_c)) <->
% rd(rd(rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d),op_d),op_c)
% Current number of equations to process: 4274
% Current number of ordered equations: 1
% Current number of rules: 554
% New rule produced :
% [858]
% rd(rd(rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d),op_d),op_c) <->
% rd(mult(rd(unit,op_c),A),rd(unit,op_c))
% Current number of equations to process: 4274
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [859]
% mult(mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d)),mult(rd(op_c,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),op_d))
% ->
% mult(op_c,rd(rd(mult(A,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c)),op_d),op_d))
% Current number of equations to process: 4478
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [860]
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(rd(mult(B,rd(
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c)))),op_c)),op_d),op_d)))),op_d),op_d))
% <-> mult(mult(A,op_c),rd(rd(mult(op_d,B),op_d),op_d))
% Current number of equations to process: 4580
% Current number of ordered equations: 1
% Current number of rules: 557
% New rule produced :
% [861]
% mult(mult(A,op_c),rd(rd(mult(op_d,B),op_d),op_d)) <->
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(rd(mult(B,rd(
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c)))),op_c)),op_d),op_d)))),op_d),op_d))
% Current number of equations to process: 4580
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [862]
% mult(op_c,mult(rd(rd(mult(op_d,A),op_d),op_d),B)) ->
% mult(rd(A,op_d),mult(op_c,B))
% Current number of equations to process: 4850
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [863]
% mult(op_c,rd(mult(rd(mult(op_d,A),op_d),B),op_d)) ->
% mult(rd(A,op_d),rd(B,op_d))
% Current number of equations to process: 1829
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [864]
% mult(op_c,mult(mult(op_d,A),B)) ->
% rd(mult(rd(rd(A,op_d),op_c),rd(B,op_d)),op_c)
% Rule
% [461]
% mult(op_c,mult(mult(op_d,A),mult(B,op_d))) ->
% rd(mult(rd(rd(A,op_d),op_c),B),op_c) collapsed.
% Rule
% [694]
% mult(op_c,mult(mult(op_d,mult(A,op_d)),B)) ->
% rd(mult(rd(A,op_c),rd(B,op_d)),op_c) collapsed.
% Current number of equations to process: 1944
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [865] rd(rd(rd(rd(mult(op_d,A),op_d),op_d),op_c),rd(A,op_d)) -> rd(unit,op_c)
% Current number of equations to process: 2099
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [866] rd(rd(rd(mult(op_d,A),op_d),op_c),rd(rd(A,op_d),op_c)) -> rd(unit,op_c)
% Current number of equations to process: 2184
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [867] rd(rd(mult(op_d,A),op_c),rd(rd(rd(A,op_d),op_c),op_c)) -> rd(unit,op_c)
% Current number of equations to process: 2268
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [868]
% rd(rd(mult(A,op_d),op_c),rd(rd(mult(op_c,A),op_c),op_c)) -> rd(unit,op_c)
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [869]
% mult(mult(A,op_d),mult(rd(mult(op_c,rd(op_c,op_d)),rd(rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,op_c)))),op_d)),op_d))
% ->
% mult(mult(A,op_d),mult(op_c,rd(mult(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% mult(op_d,op_d)),op_d)))
% Current number of equations to process: 2443
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [870]
% rd(mult(A,mult(op_c,rd(B,op_d))),mult(A,op_c)) -> rd(mult(A,mult(op_c,B)),A)
% Current number of equations to process: 2586
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [871]
% mult(mult(op_d,op_d),mult(op_d,A)) ->
% mult(rd(op_d,rd(op_d,rd(unit,op_c))),mult(mult(op_d,op_d),A))
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [872]
% mult(op_d,mult(mult(op_c,A),B)) <->
% mult(rd(mult(A,op_d),mult(op_d,op_d)),mult(op_d,B))
% Current number of equations to process: 2824
% Current number of ordered equations: 1
% Current number of rules: 567
% New rule produced :
% [873]
% mult(rd(mult(A,op_d),mult(op_d,op_d)),mult(op_d,B)) <->
% mult(op_d,mult(mult(op_c,A),B))
% Current number of equations to process: 2824
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [874] mult(rd(mult(A,B),mult(A,C)),mult(A,V_3)) -> mult(A,mult(rd(B,C),V_3))
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [875] rd(rd(rd(A,B),C),rd(mult(C,A),mult(C,B))) -> rd(unit,C)
% Rule [473] rd(rd(rd(A,B),op_d),rd(mult(op_d,A),mult(op_d,B))) -> op_c
% collapsed.
% Current number of equations to process: 3945
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [876] rd(rd(A,mult(A,op_d)),rd(mult(A,mult(A,op_c)),A)) -> rd(unit,A)
% Current number of equations to process: 4840
% Current number of ordered equations: 0
% Current number of rules: 570
% Rule [778]
% rd(op_d,mult(rd(op_c,rd(A,op_d)),op_d)) <->
% mult(rd(unit,rd(op_d,A)),op_d) is composed into [778]
% rd(op_d,mult(rd(op_c,
% rd(A,op_d)),op_d))
% ->
% rd(rd(A,rd(op_d,A)),
% rd(unit,rd(op_d,A)))
% New rule produced :
% [877] mult(rd(unit,rd(A,B)),A) -> rd(rd(B,rd(A,B)),rd(unit,rd(A,B)))
% Rule [411] mult(rd(unit,rd(op_d,rd(unit,op_c))),op_d) -> rd(unit,op_c)
% collapsed.
% Rule [680] mult(rd(unit,rd(rd(A,op_d),A)),rd(A,op_d)) -> rd(rd(A,op_d),op_c)
% collapsed.
% Rule [689] mult(rd(unit,rd(rd(A,op_c),A)),rd(A,op_c)) -> rd(rd(A,op_d),op_c)
% collapsed.
% Rule
% [708]
% mult(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d) -> rd(op_d,rd(unit,op_c))
% collapsed.
% Rule
% [777]
% mult(rd(unit,rd(op_d,A)),op_d) <-> rd(op_d,mult(rd(op_c,rd(A,op_d)),op_d))
% collapsed.
% Current number of equations to process: 4912
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [878] mult(rd(unit,op_c),rd(mult(op_c,A),B)) -> rd(rd(A,op_c),rd(B,op_c))
% Current number of equations to process: 4921
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [879]
% rd(rd(rd(A,mult(B,op_d)),op_d),op_c) -> rd(rd(rd(A,op_d),op_c),rd(B,op_c))
% Rule
% [724]
% rd(rd(rd(A,mult(op_d,op_d)),op_d),op_c) ->
% rd(rd(rd(A,op_d),op_c),rd(op_d,op_c)) collapsed.
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [880]
% mult(mult(A,op_c),rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d)) ->
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),rd(mult(op_c,rd(rd(rd(mult(op_c,
% rd(
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c)))),op_d)),op_d),op_d),op_d)),
% rd(rd(rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c)))),
% mult(op_d,mult(op_d,op_d))),op_d)))),op_d),op_d))
% Current number of equations to process: 3181
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [881]
% mult(op_c,mult(rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d),A)) ->
% mult(rd(op_c,op_d),mult(op_c,A))
% Current number of equations to process: 3260
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [882]
% mult(op_c,rd(mult(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),A),op_d)) ->
% mult(rd(op_c,op_d),rd(A,op_d))
% Current number of equations to process: 3412
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [883]
% rd(rd(unit,rd(unit,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),rd(op_c,op_d))
% -> rd(unit,op_c)
% Current number of equations to process: 3527
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [884]
% mult(A,rd(mult(op_d,mult(op_c,rd(op_c,op_d))),mult(op_d,rd(rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c)))),op_d))))
% -> mult(A,op_c)
% Rule
% [856]
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),
% mult(rd(mult(op_c,mult(A,rd(mult(op_d,mult(op_c,
% rd(op_c,op_d))),
% mult(op_d,rd(rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))),op_d))))),
% rd(op_c,op_d)),op_d))),op_d),op_d)) ->
% mult(op_c,rd(rd(mult(op_d,mult(rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),
% mult(rd(mult(op_c,A),rd(unit,rd(unit,op_c))),op_d))),op_d),op_d))
% collapsed.
% Current number of equations to process: 3572
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [885]
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(mult(rd(rd(rd(B,op_d),op_c),op_c),
% mult(op_d,op_d)),op_d)))),op_d),op_d))
% <-> mult(mult(A,op_c),mult(op_d,B))
% Current number of equations to process: 3733
% Current number of ordered equations: 1
% Current number of rules: 572
% New rule produced :
% [886]
% mult(mult(A,op_c),mult(op_d,B)) <->
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(mult(rd(rd(rd(B,op_d),op_c),op_c),
% mult(op_d,op_d)),op_d)))),op_d),op_d))
% Current number of equations to process: 3733
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [887]
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(mult(rd(rd(mult(op_c,B),op_c),op_c),
% mult(op_d,op_d)),op_d)))),op_d),op_d))
% <-> mult(mult(A,op_c),mult(B,op_d))
% Current number of equations to process: 4066
% Current number of ordered equations: 1
% Current number of rules: 574
% New rule produced :
% [888]
% mult(mult(A,op_c),mult(B,op_d)) <->
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(mult(rd(rd(mult(op_c,B),op_c),op_c),
% mult(op_d,op_d)),op_d)))),op_d),op_d))
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [889]
% mult(op_c,rd(rd(mult(mult(A,mult(op_d,B)),rd(rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c)))),op_c)),op_d),op_d))
% <-> mult(mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d)),B)
% Current number of equations to process: 4377
% Current number of ordered equations: 1
% Current number of rules: 576
% New rule produced :
% [890]
% mult(mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d)),B) <->
% mult(op_c,rd(rd(mult(mult(A,mult(op_d,B)),rd(rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c)))),op_c)),op_d),op_d))
% Current number of equations to process: 4377
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [891]
% mult(mult(A,rd(op_d,rd(op_d,rd(unit,op_c)))),mult(op_d,op_d)) ->
% mult(mult(A,op_d),mult(op_c,rd(mult(rd(op_d,rd(op_d,rd(unit,op_c))),mult(op_d,
% rd(op_d,
% rd(
% rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))),op_d)))
% Current number of equations to process: 4698
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [892] mult(mult(A,rd(mult(B,C),mult(B,V_3))),B) -> mult(mult(A,B),rd(C,V_3))
% Current number of equations to process: 4825
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [893] mult(mult(A,rd(B,mult(B,C))),B) -> mult(mult(A,B),rd(unit,C))
% Rule
% [148]
% mult(mult(A,rd(B,mult(B,op_d))),B) ->
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,B),op_d)),op_d),op_d)) collapsed.
% Current number of equations to process: 1186
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [894]
% rd(mult(op_d,mult(op_c,mult(A,mult(op_d,op_d)))),op_d) ->
% mult(A,rd(op_d,rd(op_d,rd(unit,op_c))))
% Current number of equations to process: 2065
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [895]
% mult(op_d,rd(op_d,rd(op_d,rd(unit,op_c)))) ->
% rd(mult(op_d,op_d),rd(op_d,rd(unit,op_c)))
% Current number of equations to process: 2099
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [896]
% mult(rd(mult(op_d,op_d),rd(op_d,rd(unit,op_c))),op_d) ->
% mult(op_d,rd(op_d,op_c))
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [897] rd(mult(mult(A,op_c),B),A) -> mult(rd(A,mult(A,op_d)),rd(mult(A,B),A))
% Current number of equations to process: 2414
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [898]
% mult(op_d,mult(rd(mult(op_c,rd(A,op_d)),A),op_d)) <->
% mult(rd(A,mult(A,op_d)),op_d)
% Current number of equations to process: 2511
% Current number of ordered equations: 1
% Current number of rules: 584
% New rule produced :
% [899]
% mult(rd(A,mult(A,op_d)),op_d) <->
% mult(op_d,mult(rd(mult(op_c,rd(A,op_d)),A),op_d))
% Current number of equations to process: 2511
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [900]
% mult(mult(op_d,A),mult(op_d,B)) ->
% mult(op_d,mult(rd(A,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),B))
% Rule
% [514]
% mult(mult(op_d,mult(A,op_d)),mult(op_d,B)) ->
% mult(op_d,mult(rd(mult(A,op_d),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),B))
% collapsed.
% Rule
% [871]
% mult(mult(op_d,op_d),mult(op_d,A)) ->
% mult(rd(op_d,rd(op_d,rd(unit,op_c))),mult(mult(op_d,op_d),A)) collapsed.
% Current number of equations to process: 2859
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [901]
% mult(op_d,mult(rd(mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d)),rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))),B))
% -> mult(mult(A,op_d),mult(op_d,B))
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [902]
% mult(mult(A,op_d),mult(op_c,mult(B,rd(mult(op_d,mult(op_d,op_d)),op_d)))) ->
% mult(mult(A,op_d),rd(mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)),rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [903]
% rd(rd(mult(A,rd(mult(op_c,rd(op_c,op_d)),rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d))),op_d),op_c)
% -> rd(A,op_d)
% Current number of equations to process: 3393
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [904]
% rd(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(op_c,op_d)),
% mult(rd(op_c,op_d),rd(unit,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 3499
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [905]
% mult(op_c,rd(rd(mult(op_d,rd(rd(op_d,rd(unit,op_c)),rd(op_d,rd(op_d,rd(unit,op_c))))),
% mult(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),op_d)) ->
% mult(op_c,rd(rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_d),op_d))
% Current number of equations to process: 3543
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [906]
% mult(op_c,mult(A,rd(mult(op_d,mult(B,op_d)),op_d))) <->
% mult(rd(mult(op_c,A),op_c),B)
% Current number of equations to process: 3634
% Current number of ordered equations: 1
% Current number of rules: 590
% New rule produced :
% [907]
% mult(rd(mult(op_c,A),op_c),B) <->
% mult(op_c,mult(A,rd(mult(op_d,mult(B,op_d)),op_d)))
% Rule
% [463]
% rd(mult(rd(mult(op_c,A),op_c),B),op_c) <->
% rd(mult(op_c,mult(A,rd(mult(op_d,mult(B,op_d)),op_d))),op_c) collapsed.
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [908]
% mult(op_c,mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d))) ->
% rd(mult(op_c,mult(op_c,A)),op_c)
% Current number of equations to process: 4017
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [909]
% rd(mult(op_c,rd(mult(A,mult(B,op_d)),op_d)),A) -> mult(op_c,rd(mult(A,B),A))
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [910]
% mult(op_c,mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),op_d)),op_d),op_d))) ->
% rd(mult(op_c,mult(A,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),op_c)
% Current number of equations to process: 4324
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [911]
% mult(op_d,rd(mult(A,op_d),A)) ->
% rd(mult(op_d,rd(A,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))),A)
% Current number of equations to process: 4451
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [912]
% rd(rd(rd(mult(op_c,rd(op_c,op_d)),rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d)),A),op_d)
% <->
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(mult(op_d,A),op_d))
% Current number of equations to process: 4564
% Current number of ordered equations: 1
% Current number of rules: 595
% New rule produced :
% [913]
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(mult(op_d,A),op_d))
% <->
% rd(rd(rd(mult(op_c,rd(op_c,op_d)),rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d)),A),op_d)
% Current number of equations to process: 4564
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [914]
% rd(rd(rd(A,op_d),op_c),rd(rd(B,op_d),op_c)) <-> rd(rd(rd(A,B),op_d),op_c)
% Current number of equations to process: 4808
% Current number of ordered equations: 1
% Current number of rules: 597
% Rule [490]
% rd(rd(op_c,mult(op_c,A)),rd(unit,op_c)) ->
% rd(rd(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(A,op_d)),op_d),op_c) is composed into
% [490]
% rd(rd(op_c,mult(op_c,A)),rd(unit,op_c)) ->
% rd(rd(rd(rd(op_c,op_d),op_c),rd(rd(rd(op_d,op_d),op_c),rd(rd(rd(unit,op_d),op_c),
% rd(rd(rd(op_d,op_d),op_c),
% rd(rd(rd(unit,op_d),op_c),
% rd(rd(op_c,op_d),op_c)))))),
% rd(rd(rd(A,op_d),op_d),op_c))
% New rule produced :
% [915]
% rd(rd(rd(A,B),op_d),op_c) <-> rd(rd(rd(A,op_d),op_c),rd(rd(B,op_d),op_c))
% Rule [621] rd(rd(rd(op_c,rd(op_d,rd(unit,op_c))),op_d),op_c) -> op_c
% collapsed.
% Rule
% [879]
% rd(rd(rd(A,mult(B,op_d)),op_d),op_c) -> rd(rd(rd(A,op_d),op_c),rd(B,op_c))
% collapsed.
% Current number of equations to process: 4808
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [916]
% rd(rd(rd(rd(A,op_d),A),op_d),op_c) -> rd(unit,rd(unit,rd(rd(A,op_d),A)))
% Current number of equations to process: 4838
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [917]
% rd(rd(unit,rd(rd(A,op_d),op_c)),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(A,op_d))) -> rd(unit,op_c)
% Current number of equations to process: 1720
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [918]
% rd(mult(op_c,rd(A,op_d)),rd(rd(mult(op_d,B),mult(op_d,rd(rd(op_c,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))),op_d))
% -> rd(mult(op_c,rd(A,op_d)),rd(mult(op_d,B),op_d))
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [919] mult(rd(A,mult(rd(A,B),C)),rd(A,B)) -> mult(rd(A,B),rd(B,C))
% Current number of equations to process: 1965
% Current number of ordered equations: 1
% Current number of rules: 600
% New rule produced :
% [920] mult(rd(mult(rd(A,B),C),A),rd(A,B)) -> mult(rd(A,B),rd(C,B))
% Current number of equations to process: 1965
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [921]
% mult(rd(rd(op_d,rd(unit,op_c)),mult(op_d,A)),op_d) -> mult(op_d,rd(op_c,A))
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [922]
% mult(rd(mult(op_d,A),rd(op_d,rd(unit,op_c))),op_d) -> mult(op_d,rd(A,op_c))
% Rule
% [896]
% mult(rd(mult(op_d,op_d),rd(op_d,rd(unit,op_c))),op_d) ->
% mult(op_d,rd(op_d,op_c)) collapsed.
% Current number of equations to process: 2776
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [923]
% mult(op_d,rd(rd(mult(op_c,rd(op_c,op_d)),rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d)),A))
% ->
% rd(op_d,rd(A,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))
% Current number of equations to process: 3550
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [924]
% rd(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),rd(mult(op_c,rd(op_c,op_d)),
% rd(rd(unit,rd(op_d,rd(op_d,
% rd(unit,op_c)))),op_d)))),op_d),op_d))
% -> rd(op_c,rd(rd(rd(mult(op_d,mult(A,op_d)),op_d),op_d),op_d))
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [925]
% rd(A,mult(A,mult(op_c,B))) -> rd(mult(A,rd(op_c,rd(B,op_d))),mult(A,op_c))
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [926]
% rd(rd(mult(op_c,rd(rd(A,op_d),op_d)),rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d)),
% rd(A,op_c)) ->
% rd(mult(op_c,rd(A,op_d)),rd(rd(A,op_d),rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 606
% New rule produced :
% [927] mult(rd(rd(A,B),mult(rd(A,B),op_d)),A) -> mult(rd(A,B),mult(op_c,B))
% Current number of equations to process: 4123
% Current number of ordered equations: 1
% Current number of rules: 607
% New rule produced :
% [928]
% mult(rd(rd(A,op_d),A),mult(rd(A,op_d),B)) -> mult(rd(A,op_d),mult(op_c,B))
% Current number of equations to process: 4123
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [929]
% mult(op_c,rd(rd(op_c,rd(rd(op_c,rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))),op_d)),op_d))
% -> rd(op_c,op_d)
% Current number of equations to process: 4756
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [930]
% mult(op_c,mult(A,rd(mult(op_d,mult(op_d,op_d)),op_d))) ->
% rd(mult(op_c,rd(mult(A,mult(op_d,op_d)),op_d)),rd(rd(op_c,rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,
% rd(unit,op_c))))))
% Rule
% [902]
% mult(mult(A,op_d),mult(op_c,mult(B,rd(mult(op_d,mult(op_d,op_d)),op_d)))) ->
% mult(mult(A,op_d),rd(mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)),rd(rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))))))
% collapsed.
% Current number of equations to process: 4848
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [931]
% mult(mult(rd(A,op_d),B),op_d) ->
% mult(A,mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)))
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [932]
% mult(op_c,mult(rd(op_c,op_d),A)) ->
% rd(mult(op_c,rd(rd(mult(op_c,mult(op_c,A)),op_d),op_d)),rd(rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c)))),op_d))
% Current number of equations to process: 2904
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced :
% [933]
% mult(mult(A,rd(rd(B,op_d),B)),rd(B,op_d)) ->
% mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),mult(op_c,rd(rd(mult(B,rd(
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c)))),op_c)),op_d),op_d)))),op_d),op_d))
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [934]
% mult(rd(A,op_c),rd(rd(rd(B,op_d),op_c),op_c)) ->
% rd(mult(A,mult(op_d,B)),op_c)
% Rule
% [398]
% mult(rd(unit,op_c),rd(rd(rd(A,op_d),op_c),op_c)) -> rd(mult(op_d,A),op_c)
% collapsed.
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [935]
% mult(rd(A,op_c),rd(rd(B,op_c),op_c)) <->
% rd(mult(A,mult(op_d,mult(B,op_d))),op_c)
% Current number of equations to process: 3274
% Current number of ordered equations: 1
% Current number of rules: 613
% New rule produced :
% [936]
% rd(mult(A,mult(op_d,mult(B,op_d))),op_c) <->
% mult(rd(A,op_c),rd(rd(B,op_c),op_c))
% Current number of equations to process: 3274
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [937] mult(rd(A,rd(B,C)),rd(B,rd(B,C))) -> rd(mult(A,C),rd(B,C))
% Rule [386] mult(rd(unit,rd(A,B)),rd(A,rd(A,B))) -> rd(B,rd(A,B)) collapsed.
% Rule [748] mult(rd(op_c,rd(A,op_d)),rd(A,rd(A,op_d))) -> rd(unit,rd(A,op_d))
% collapsed.
% Current number of equations to process: 3849
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [938]
% rd(mult(A,rd(op_d,mult(B,op_d))),op_c) <->
% mult(rd(A,op_c),rd(rd(op_c,B),op_c))
% Current number of equations to process: 4131
% Current number of ordered equations: 1
% Current number of rules: 614
% New rule produced :
% [939]
% mult(rd(A,op_c),rd(rd(op_c,B),op_c)) <->
% rd(mult(A,rd(op_d,mult(B,op_d))),op_c)
% Current number of equations to process: 4131
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [940]
% rd(mult(A,mult(B,op_d)),op_c) <->
% mult(rd(A,op_c),rd(rd(mult(op_c,B),op_c),op_c))
% Current number of equations to process: 4926
% Current number of ordered equations: 1
% Current number of rules: 616
% New rule produced :
% [941]
% mult(rd(A,op_c),rd(rd(mult(op_c,B),op_c),op_c)) <->
% rd(mult(A,mult(B,op_d)),op_c)
% Current number of equations to process: 4926
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [942] mult(rd(A,B),rd(mult(B,C),mult(B,V_3))) -> rd(mult(A,rd(C,V_3)),B)
% Rule [427] mult(rd(unit,A),rd(mult(A,B),mult(A,C))) -> rd(rd(B,C),A)
% collapsed.
% Current number of equations to process: 2198
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [943]
% mult(rd(unit,rd(unit,op_c)),rd(mult(op_c,A),op_c)) ->
% rd(mult(rd(op_c,op_d),A),op_c)
% Current number of equations to process: 3168
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [944]
% mult(rd(A,op_d),mult(B,op_d)) <->
% rd(mult(A,rd(mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)),rd(rd(op_c,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))),op_d)
% Rule
% [252]
% mult(rd(A,op_d),mult(op_d,op_d)) ->
% rd(mult(A,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_c)),op_d) collapsed.
% Rule
% [254]
% mult(rd(op_c,op_d),mult(op_d,op_d)) ->
% rd(rd(rd(op_c,rd(unit,rd(unit,op_c))),op_d),rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))
% collapsed.
% Rule
% [379]
% rd(rd(mult(A,op_c),rd(rd(mult(rd(A,op_d),mult(op_d,op_d)),op_d),op_d)),op_c)
% -> op_d collapsed.
% Current number of equations to process: 3265
% Current number of ordered equations: 1
% Current number of rules: 616
% New rule produced :
% [945]
% rd(mult(A,rd(mult(op_c,rd(mult(B,mult(op_d,op_d)),op_d)),rd(rd(op_c,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))),op_d)
% <-> mult(rd(A,op_d),mult(B,op_d))
% Current number of equations to process: 3265
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [946]
% rd(rd(unit,rd(A,op_c)),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),A))
% -> rd(unit,op_c)
% Rule
% [917]
% rd(rd(unit,rd(rd(A,op_d),op_c)),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(A,op_d))) -> rd(unit,op_c) collapsed.
% Current number of equations to process: 3693
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [947]
% rd(op_c,rd(rd(mult(op_d,mult(rd(unit,rd(rd(A,op_d),op_c)),op_d)),op_d),op_d))
% -> rd(rd(unit,rd(unit,A)),op_d)
% Current number of equations to process: 3856
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [948] mult(rd(A,rd(B,op_d)),rd(rd(B,op_d),B)) -> rd(mult(A,op_c),rd(B,op_d))
% Current number of equations to process: 3969
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [949]
% mult(rd(A,mult(A,op_d)),rd(A,mult(A,op_d))) ->
% rd(mult(op_c,rd(rd(mult(op_d,mult(mult(A,op_d),rd(mult(op_c,rd(op_c,op_d)),
% rd(rd(unit,rd(op_d,rd(op_d,
% rd(unit,op_c)))),op_d)))),op_d),op_d)),A)
% Current number of equations to process: 4160
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [950]
% rd(rd(unit,rd(unit,rd(unit,op_c))),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(op_c,op_d))) -> rd(unit,op_c)
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [951] rd(mult(A,mult(rd(B,rd(C,A)),A)),A) -> rd(mult(A,mult(B,A)),C)
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [952] rd(mult(A,mult(rd(B,C),A)),A) -> rd(mult(A,mult(B,A)),mult(C,A))
% Rule
% [515]
% rd(mult(op_d,mult(rd(A,rd(unit,op_c)),op_d)),op_d) -> mult(op_d,mult(A,op_c))
% collapsed.
% Rule
% [538]
% mult(op_c,rd(rd(mult(op_d,mult(rd(A,B),op_d)),op_d),op_d)) ->
% rd(mult(A,op_c),rd(rd(mult(op_d,mult(B,op_d)),op_d),op_d)) collapsed.
% Rule
% [543]
% rd(op_c,mult(op_d,rd(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(rd(mult(op_d,mult(rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))),op_d)),op_d),op_d)),
% rd(rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))),op_d)))) ->
% op_c collapsed.
% Rule [788] rd(mult(A,mult(rd(rd(unit,A),B),A)),A) -> rd(A,mult(B,A))
% collapsed.
% Rule
% [947]
% rd(op_c,rd(rd(mult(op_d,mult(rd(unit,rd(rd(A,op_d),op_c)),op_d)),op_d),op_d))
% -> rd(rd(unit,rd(unit,A)),op_d) collapsed.
% Rule [951] rd(mult(A,mult(rd(B,rd(C,A)),A)),A) -> rd(mult(A,mult(B,A)),C)
% collapsed.
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 617
% Rule [586]
% mult(rd(unit,op_c),rd(A,rd(unit,op_c))) <->
% rd(rd(mult(op_d,mult(A,op_c)),op_d),op_c) is composed into [586]
% mult(
% rd(unit,op_c),
% rd(A,
% rd(unit,op_c)))
% <->
% rd(rd(
% rd(
% mult(op_d,
% mult(A,op_d)),
% rd(op_d,
% rd(
% rd(op_c,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c))))))),op_d),op_c)
% Rule [518]
% rd(mult(rd(unit,op_c),A),rd(op_d,op_c)) <->
% rd(rd(rd(mult(op_d,mult(A,op_c)),op_d),op_d),op_c) is composed into
% [518]
% rd(mult(rd(unit,op_c),A),rd(op_d,op_c)) <->
% rd(rd(rd(rd(mult(op_d,mult(A,op_d)),rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c))))))),op_d),op_d),op_c)
% New rule produced :
% [953]
% mult(op_d,mult(A,op_c)) ->
% rd(mult(op_d,mult(A,op_d)),rd(op_d,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))))
% Rule [143] rd(rd(A,rd(unit,op_c)),mult(op_d,mult(A,op_c))) -> op_c collapsed.
% Rule
% [519]
% rd(rd(rd(mult(op_d,mult(A,op_c)),op_d),op_d),op_c) <->
% rd(mult(rd(unit,op_c),A),rd(op_d,op_c)) collapsed.
% Rule
% [587]
% rd(rd(mult(op_d,mult(A,op_c)),op_d),op_c) <->
% mult(rd(unit,op_c),rd(A,rd(unit,op_c))) collapsed.
% Rule
% [695]
% rd(mult(op_d,mult(A,op_c)),rd(op_d,rd(unit,op_c))) -> rd(mult(op_d,A),op_d)
% collapsed.
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [954] mult(rd(mult(A,mult(B,A)),C),A) <-> mult(A,mult(rd(B,rd(C,A)),A))
% Rule
% [846] mult(rd(mult(A,mult(op_c,A)),B),A) <-> mult(A,mult(rd(op_c,rd(B,A)),A))
% collapsed.
% Current number of equations to process: 4598
% Current number of ordered equations: 1
% Current number of rules: 614
% New rule produced :
% [955] mult(A,mult(rd(B,rd(C,A)),A)) <-> mult(rd(mult(A,mult(B,A)),C),A)
% Rule
% [845] mult(A,mult(rd(op_c,rd(B,A)),A)) <-> mult(rd(mult(A,mult(op_c,A)),B),A)
% collapsed.
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [956] mult(A,mult(rd(unit,rd(B,A)),A)) <-> mult(rd(mult(A,A),B),A)
% Current number of equations to process: 2723
% Current number of ordered equations: 1
% Current number of rules: 615
% New rule produced :
% [957] mult(rd(mult(A,A),B),A) <-> mult(A,mult(rd(unit,rd(B,A)),A))
% Current number of equations to process: 2723
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [958] mult(rd(mult(A,A),mult(B,A)),A) -> mult(A,mult(rd(unit,B),A))
% Rule [836] mult(rd(mult(A,A),mult(op_d,A)),A) -> mult(A,mult(op_c,A))
% collapsed.
% Current number of equations to process: 3707
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [959]
% rd(mult(op_d,op_d),mult(op_d,mult(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(unit,rd(op_d,rd(op_d,rd(unit,op_c)))))),op_d)))
% -> rd(unit,op_c)
% Current number of equations to process: 4616
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [960] rd(rd(mult(rd(unit,A),B),rd(unit,A)),mult(B,A)) -> rd(unit,A)
% Current number of equations to process: 4669
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [961]
% mult(rd(unit,A),rd(unit,mult(B,A))) -> rd(mult(rd(unit,A),rd(unit,A)),B)
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 619
% Rule [440]
% mult(rd(mult(A,op_c),op_d),rd(unit,op_c)) ->
% mult(A,mult(rd(op_c,op_d),rd(unit,op_c))) is composed into [440]
% mult(
% rd(mult(A,op_c),op_d),
% rd(unit,op_c))
% ->
% mult(A,
% rd(mult(op_c,
% mult(op_c,
% rd(op_c,op_d))),
% mult(op_c,
% rd(rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,op_c)))),op_d))))
% New rule produced :
% [962]
% mult(rd(op_c,op_d),rd(unit,op_c)) ->
% rd(mult(op_c,mult(op_c,rd(op_c,op_d))),mult(op_c,rd(rd(unit,rd(op_d,rd(op_d,
% rd(unit,op_c)))),op_d)))
% Rule
% [441]
% mult(rd(unit,op_c),mult(rd(op_c,op_d),rd(unit,op_c))) ->
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(op_c,op_d))
% collapsed.
% Rule
% [789] rd(rd(unit,op_c),mult(rd(op_c,op_d),rd(unit,op_c))) -> rd(op_d,op_c)
% collapsed.
% Rule
% [791] mult(rd(op_d,op_c),mult(rd(op_c,op_d),rd(unit,op_c))) -> rd(unit,op_c)
% collapsed.
% Rule
% [904]
% rd(rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(op_c,op_d)),
% mult(rd(op_c,op_d),rd(unit,op_c))) -> rd(unit,op_c) collapsed.
% Current number of equations to process: 1919
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [963]
% mult(op_c,rd(rd(mult(op_d,mult(A,op_d)),B),op_d)) <->
% rd(mult(A,op_c),rd(rd(mult(op_d,B),op_d),op_d))
% Current number of equations to process: 1977
% Current number of ordered equations: 1
% Current number of rules: 617
% New rule produced :
% [964]
% rd(mult(A,op_c),rd(rd(mult(op_d,B),op_d),op_d)) <->
% mult(op_c,rd(rd(mult(op_d,mult(A,op_d)),B),op_d))
% Current number of equations to process: 1977
% Current number of ordered equations: 0
% Current number of rules: 618
% Rule [593]
% rd(mult(op_c,rd(op_c,op_d)),rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))))
% ->
% rd(op_c,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(op_c,op_d))) is composed into
% [593]
% rd(mult(op_c,rd(op_c,op_d)),rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))))
% -> rd(op_c,rd(op_c,rd(unit,rd(unit,op_c))))
% New rule produced :
% [965]
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(op_c,op_d)) ->
% rd(op_c,rd(unit,rd(unit,op_c)))
% Rule
% [629]
% rd(unit,rd(op_c,rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),
% rd(op_c,op_d)))) ->
% rd(op_c,rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c)))))) collapsed.
% Rule
% [950]
% rd(rd(unit,rd(unit,rd(unit,op_c))),rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(unit,op_c))))),
% rd(op_c,op_d))) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 2286
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [966]
% rd(op_c,rd(rd(mult(A,mult(op_d,A)),A),op_d)) ->
% rd(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(unit,op_c))))),rd(A,op_d))
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [967] rd(op_c,rd(mult(mult(rd(unit,A),rd(op_d,A)),A),op_d)) -> mult(op_c,A)
% Current number of equations to process: 2430
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [968]
% mult(op_c,rd(mult(rd(op_d,A),mult(B,op_d)),op_d)) <->
% mult(rd(op_c,rd(A,op_d)),B)
% Current number of equations to process: 2530
% Current number of ordered equations: 1
% Current number of rules: 620
% Rule [784]
% mult(rd(op_c,rd(op_d,A)),op_d) <->
% rd(unit,mult(rd(op_c,rd(A,op_d)),op_d)) is composed into [784]
% mult(rd(op_c,
% rd(op_d,A)),op_d)
% ->
% rd(unit,
% mult(op_c,
% rd(mult(
% rd(op_d,A),
% mult(op_d,op_d)),op_d)))
% New rule produced :
% [969]
% mult(rd(op_c,rd(A,op_d)),B) <->Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------