TSTP Solution File: GRP686-1 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP686-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n168.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 00:23:58 EDT 2014
% Result : Timeout 300.01s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP686-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n168.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 00:57:43 CDT 2014
% % CPUTime : 300.01
% Processing problem /tmp/CiME_12226_n168.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a,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,mult(B,C))) = mult(mult(A,mult(B,B)),C);
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% unit lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
%
% let p1 = precedence F "
% ld > mult > rd > unit > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% unit mul;
% rd mul;
% mult mul;
% ld mul;
% ";
%
% let p2 = precedence F "
% ld > mult > rd > unit = a = b = c";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " mult(mult(a,a),mult(b,c)) = mult(mult(a,mult(a,b)),c);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% mult(rd(A,B),B) = A,
% rd(mult(A,B),B) = A,
% mult(A,unit) = A,
% mult(unit,A) = A,
% mult(A,mult(B,mult(B,C))) =
% mult(mult(A,mult(B,B)),C) } (7 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { mult(mult(a,a),mult(b,c)) =
% mult(mult(a,mult(a,b)),c) } (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: 6
% 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: 5
% Current number of rules: 2
% New rule produced : [3] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 3
% New rule produced : [4] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 4
% New rule produced : [5] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced : [6] ld(A,mult(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7] mult(mult(A,mult(B,B)),C) -> mult(A,mult(B,mult(B,C)))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] rd(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] rd(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] ld(A,A) -> unit
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] rd(A,ld(B,A)) -> B
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] mult(mult(A,A),B) -> mult(A,mult(A,B))
% The conjecture has been reduced.
% Conjecture is now:
% mult(a,mult(a,mult(b,c))) = mult(mult(a,mult(a,b)),c)
%
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] rd(mult(A,mult(A,B)),B) -> mult(A,A)
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] rd(mult(A,B),ld(A,B)) -> mult(A,A)
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] rd(A,ld(A,unit)) -> mult(A,A)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] rd(A,ld(B,ld(B,A))) -> mult(B,B)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] ld(mult(A,A),A) -> ld(A,unit)
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] ld(mult(A,A),mult(A,B)) -> ld(A,B)
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [21] ld(mult(A,A),B) -> ld(A,ld(A,B))
% Rule [19] ld(mult(A,A),A) -> ld(A,unit) collapsed.
% Rule [20] ld(mult(A,A),mult(A,B)) -> ld(A,B) collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [22] mult(rd(unit,A),rd(unit,A)) -> rd(rd(unit,A),A)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [23] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B)
% Rule [22] mult(rd(unit,A),rd(unit,A)) -> rd(rd(unit,A),A) collapsed.
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [24] rd(A,ld(rd(A,B),B)) -> rd(mult(rd(A,B),A),B)
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [25] rd(rd(rd(unit,A),A),rd(unit,A)) -> rd(unit,A)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [26] ld(rd(unit,A),rd(rd(unit,A),A)) -> rd(unit,A)
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [27] rd(mult(A,mult(B,mult(B,C))),C) -> mult(A,mult(B,B))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [28] ld(rd(mult(rd(A,B),A),B),A) -> ld(rd(A,B),B)
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [29] ld(rd(rd(unit,A),A),unit) -> ld(rd(unit,A),A)
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [30] mult(A,mult(B,B)) <-> rd(mult(A,mult(B,C)),ld(B,C))
% Current number of equations to process: 67
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced : [31] rd(mult(A,mult(B,C)),ld(B,C)) <-> mult(A,mult(B,B))
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [32] rd(mult(A,B),ld(B,unit)) <-> mult(A,mult(B,B))
% Current number of equations to process: 85
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced : [33] mult(A,mult(B,B)) <-> rd(mult(A,B),ld(B,unit))
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [34] rd(A,ld(B,unit)) <-> mult(rd(A,B),mult(B,B))
% Rule [17] rd(A,ld(A,unit)) -> mult(A,A) collapsed.
% Current number of equations to process: 97
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced : [35] mult(rd(A,B),mult(B,B)) <-> rd(A,ld(B,unit))
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [36] mult(rd(unit,A),mult(A,A)) -> A
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [37] rd(A,mult(A,A)) -> rd(unit,A)
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 33
% Rule [29] ld(rd(rd(unit,A),A),unit) -> ld(rd(unit,A),A) is composed into
% [29] ld(rd(rd(unit,A),A),unit) -> mult(A,A)
% New rule produced : [38] ld(rd(unit,A),A) -> mult(A,A)
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [39] rd(unit,mult(A,A)) -> rd(rd(unit,A),A)
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [40] rd(A,mult(B,B)) <-> mult(A,rd(rd(unit,B),B))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced : [41] mult(A,rd(rd(unit,B),B)) <-> rd(A,mult(B,B))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [42] mult(A,mult(B,rd(unit,B))) -> A
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [43] ld(A,ld(A,unit)) -> mult(ld(A,unit),ld(A,unit))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [44] mult(rd(rd(unit,A),A),mult(A,A)) -> unit
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [45] mult(A,rd(unit,A)) -> unit
% Rule [42] mult(A,mult(B,rd(unit,B))) -> A collapsed.
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [46] ld(A,rd(A,mult(B,B))) -> rd(rd(unit,B),B)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 41
% Rule [40] rd(A,mult(B,B)) <-> mult(A,rd(rd(unit,B),B)) is composed into
% [40] rd(A,mult(B,B)) <-> rd(mult(A,rd(unit,B)),B)
% New rule produced : [47] mult(A,rd(rd(unit,B),B)) -> rd(mult(A,rd(unit,B)),B)
% Rule [41] mult(A,rd(rd(unit,B),B)) <-> rd(A,mult(B,B)) collapsed.
% Current number of equations to process: 192
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced : [48] ld(mult(A,mult(B,B)),mult(A,B)) -> ld(B,unit)
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [49] ld(A,rd(mult(A,B),ld(B,unit))) -> mult(B,B)
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 43
% Rule [48] ld(mult(A,mult(B,B)),mult(A,B)) -> ld(B,unit) is composed into
% [48] ld(mult(A,mult(B,B)),mult(A,B)) -> rd(unit,B)
% Rule [35] mult(rd(A,B),mult(B,B)) <-> rd(A,ld(B,unit)) is composed into
% [35] mult(rd(A,B),mult(B,B)) -> rd(A,rd(unit,B))
% Rule [33] mult(A,mult(B,B)) <-> rd(mult(A,B),ld(B,unit)) is composed into
% [33] mult(A,mult(B,B)) -> rd(mult(A,B),rd(unit,B))
% New rule produced : [50] ld(A,unit) -> rd(unit,A)
% Rule [29] ld(rd(rd(unit,A),A),unit) -> mult(A,A) collapsed.
% Rule [32] rd(mult(A,B),ld(B,unit)) <-> mult(A,mult(B,B)) collapsed.
% Rule [34] rd(A,ld(B,unit)) <-> mult(rd(A,B),mult(B,B)) collapsed.
% Rule [43] ld(A,ld(A,unit)) -> mult(ld(A,unit),ld(A,unit)) collapsed.
% Rule [49] ld(A,rd(mult(A,B),ld(B,unit))) -> mult(B,B) collapsed.
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [51] rd(unit,rd(unit,A)) -> A
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 40
% Rule [38] ld(rd(unit,A),A) -> mult(A,A) is composed into [38]
% ld(rd(unit,A),A) ->
% rd(A,rd(unit,A))
% Rule [31] rd(mult(A,mult(B,C)),ld(B,C)) <-> mult(A,mult(B,B)) is composed into
% [31] rd(mult(A,mult(B,C)),ld(B,C)) -> mult(A,rd(B,rd(unit,B)))
% Rule [27] rd(mult(A,mult(B,mult(B,C))),C) -> mult(A,mult(B,B)) is composed into
% [27] rd(mult(A,mult(B,mult(B,C))),C) -> mult(A,rd(B,rd(unit,B)))
% Rule [18] rd(A,ld(B,ld(B,A))) -> mult(B,B) is composed into [18]
% rd(A,ld(B,
% ld(B,A))) ->
% rd(B,rd(unit,B))
% Rule [16] rd(mult(A,B),ld(A,B)) -> mult(A,A) is composed into [16]
% rd(mult(A,B),
% ld(A,B)) ->
% rd(A,rd(unit,A))
% Rule [15] rd(mult(A,mult(A,B)),B) -> mult(A,A) is composed into [15]
% rd(mult(A,
% mult(A,B)),B)
% ->
% rd(A,
% rd(unit,A))
% New rule produced : [52] mult(A,A) -> rd(A,rd(unit,A))
% Rule [7] mult(mult(A,mult(B,B)),C) -> mult(A,mult(B,mult(B,C))) collapsed.
% Rule [14] mult(mult(A,A),B) -> mult(A,mult(A,B)) collapsed.
% Rule [21] ld(mult(A,A),B) -> ld(A,ld(A,B)) collapsed.
% Rule [23] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B) collapsed.
% Rule [30] mult(A,mult(B,B)) <-> rd(mult(A,mult(B,C)),ld(B,C)) collapsed.
% Rule [33] mult(A,mult(B,B)) -> rd(mult(A,B),rd(unit,B)) collapsed.
% Rule [35] mult(rd(A,B),mult(B,B)) -> rd(A,rd(unit,B)) collapsed.
% Rule [36] mult(rd(unit,A),mult(A,A)) -> A collapsed.
% Rule [37] rd(A,mult(A,A)) -> rd(unit,A) collapsed.
% Rule [39] rd(unit,mult(A,A)) -> rd(rd(unit,A),A) collapsed.
% Rule [40] rd(A,mult(B,B)) <-> rd(mult(A,rd(unit,B)),B) collapsed.
% Rule [44] mult(rd(rd(unit,A),A),mult(A,A)) -> unit collapsed.
% Rule [46] ld(A,rd(A,mult(B,B))) -> rd(rd(unit,B),B) collapsed.
% Rule [48] ld(mult(A,mult(B,B)),mult(A,B)) -> rd(unit,B) collapsed.
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [53] mult(mult(A,rd(B,rd(unit,B))),C) -> mult(A,mult(B,mult(B,C)))
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [54] rd(unit,rd(rd(unit,A),A)) -> rd(A,rd(unit,A))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [55] rd(A,rd(A,rd(unit,A))) -> rd(unit,A)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [56] rd(unit,ld(A,rd(unit,A))) -> rd(A,rd(unit,A))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [57] mult(rd(A,rd(unit,A)),B) -> mult(A,mult(A,B))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [58] ld(rd(A,rd(unit,A)),B) -> ld(A,ld(A,B))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [59] mult(rd(unit,A),rd(A,rd(unit,A))) -> A
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [60] rd(rd(unit,A),A) -> rd(unit,rd(A,rd(unit,A)))
% Rule [25] rd(rd(rd(unit,A),A),rd(unit,A)) -> rd(unit,A) collapsed.
% Rule [26] ld(rd(unit,A),rd(rd(unit,A),A)) -> rd(unit,A) collapsed.
% Rule [47] mult(A,rd(rd(unit,B),B)) -> rd(mult(A,rd(unit,B)),B) collapsed.
% Rule [54] rd(unit,rd(rd(unit,A),A)) -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [61] ld(A,rd(A,rd(unit,A))) -> A
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [62] rd(rd(A,rd(unit,A)),A) -> A
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [63] ld(A,rd(unit,A)) -> rd(unit,rd(A,rd(unit,A)))
% Rule [56] rd(unit,ld(A,rd(unit,A))) -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 33
% Rule [31] rd(mult(A,mult(B,C)),ld(B,C)) -> mult(A,rd(B,rd(unit,B))) is composed into
% [31] rd(mult(A,mult(B,C)),ld(B,C)) -> rd(mult(A,B),rd(unit,B))
% Rule [27] rd(mult(A,mult(B,mult(B,C))),C) -> mult(A,rd(B,rd(unit,B))) is composed into
% [27] rd(mult(A,mult(B,mult(B,C))),C) -> rd(mult(A,B),rd(unit,B))
% New rule produced : [64] mult(A,rd(B,rd(unit,B))) -> rd(mult(A,B),rd(unit,B))
% Rule [53] mult(mult(A,rd(B,rd(unit,B))),C) -> mult(A,mult(B,mult(B,C)))
% collapsed.
% Rule [59] mult(rd(unit,A),rd(A,rd(unit,A))) -> A collapsed.
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [65] mult(rd(mult(A,B),rd(unit,B)),C) -> mult(A,mult(B,mult(B,C)))
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [66] ld(A,rd(mult(A,B),rd(unit,B))) -> rd(B,rd(unit,B))
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [67] rd(rd(A,rd(unit,B)),rd(B,rd(unit,B))) -> rd(A,B)
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [68] ld(rd(A,B),rd(A,rd(unit,B))) -> rd(B,rd(unit,B))
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [69] mult(rd(unit,A),mult(A,mult(A,B))) -> mult(A,B)
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [70] mult(A,rd(unit,rd(A,rd(unit,A)))) -> rd(unit,A)
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [71] rd(mult(A,rd(unit,B)),B) -> rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [72] ld(rd(unit,rd(A,rd(unit,A))),A) -> ld(rd(unit,A),rd(A,rd(unit,A)))
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [73] ld(mult(A,rd(unit,rd(B,rd(unit,B)))),A) -> rd(B,rd(unit,B))
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 41
% Rule [64] mult(A,rd(B,rd(unit,B))) -> rd(mult(A,B),rd(unit,B)) is composed into
% [64] mult(A,rd(B,rd(unit,B))) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% Rule [31] rd(mult(A,mult(B,C)),ld(B,C)) -> rd(mult(A,B),rd(unit,B)) is composed into
% [31] rd(mult(A,mult(B,C)),ld(B,C)) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% Rule [27] rd(mult(A,mult(B,mult(B,C))),C) -> rd(mult(A,B),rd(unit,B)) is composed into
% [27] rd(mult(A,mult(B,mult(B,C))),C) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% New rule produced :
% [74] rd(mult(A,B),rd(unit,B)) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% Rule [65] mult(rd(mult(A,B),rd(unit,B)),C) -> mult(A,mult(B,mult(B,C)))
% collapsed.
% Rule [66] ld(A,rd(mult(A,B),rd(unit,B))) -> rd(B,rd(unit,B)) collapsed.
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [75] mult(rd(A,rd(unit,rd(B,rd(unit,B)))),C) -> mult(A,mult(B,mult(B,C)))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [76] mult(rd(unit,rd(A,rd(unit,A))),A) -> rd(unit,A)
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [77] ld(rd(unit,A),mult(A,B)) -> mult(A,mult(A,B))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [78] mult(rd(unit,A),mult(A,B)) -> B
% Rule [69] mult(rd(unit,A),mult(A,mult(A,B))) -> mult(A,B) collapsed.
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [79] rd(mult(A,B),mult(A,mult(A,B))) -> rd(unit,A)
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [80] rd(mult(A,B),ld(C,ld(C,B))) -> rd(A,rd(unit,rd(C,rd(unit,C))))
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [81] rd(A,ld(B,C)) <-> rd(rd(A,mult(B,C)),rd(unit,rd(B,rd(unit,B))))
% Rule [12] rd(A,ld(B,A)) -> B collapsed.
% Rule [16] rd(mult(A,B),ld(A,B)) -> rd(A,rd(unit,A)) collapsed.
% Rule [18] rd(A,ld(B,ld(B,A))) -> rd(B,rd(unit,B)) collapsed.
% Rule [24] rd(A,ld(rd(A,B),B)) -> rd(mult(rd(A,B),A),B) collapsed.
% Current number of equations to process: 300
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [82] rd(rd(A,mult(B,C)),rd(unit,rd(B,rd(unit,B)))) <-> rd(A,ld(B,C))
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [83] rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))) -> rd(A,rd(unit,B))
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [84] rd(rd(A,rd(unit,rd(B,rd(unit,B)))),rd(B,rd(unit,B))) -> A
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [85] rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,B)))) -> A
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [86] ld(A,rd(A,rd(B,rd(unit,B)))) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [87] mult(rd(unit,rd(B,rd(unit,B))),mult(B,mult(B,A))) -> A
% Current number of equations to process: 289
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [88] rd(rd(A,rd(unit,rd(A,rd(unit,A)))),A) -> rd(A,rd(unit,A))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [89] ld(rd(unit,rd(A,rd(unit,A))),rd(unit,A)) -> A
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [90] mult(rd(A,rd(B,rd(unit,B))),B) -> mult(A,rd(unit,B))
% Rule [76] mult(rd(unit,rd(A,rd(unit,A))),A) -> rd(unit,A) collapsed.
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [91] mult(rd(A,rd(C,rd(unit,C))),mult(C,mult(C,B))) -> mult(A,B)
% Rule [87] mult(rd(unit,rd(B,rd(unit,B))),mult(B,mult(B,A))) -> A collapsed.
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [92] rd(mult(rd(A,B),A),B) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Rule [28] ld(rd(mult(rd(A,B),A),B),A) -> ld(rd(A,B),B) collapsed.
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [93]
% mult(A,rd(A,rd(unit,rd(A,rd(unit,A))))) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [94] rd(rd(unit,rd(A,rd(unit,A))),rd(unit,A)) -> rd(unit,A)
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [95] mult(rd(unit,rd(A,rd(unit,A))),B) -> mult(rd(unit,A),mult(rd(unit,A),B))
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [96] ld(rd(unit,rd(A,rd(unit,A))),B) -> ld(rd(unit,A),ld(rd(unit,A),B))
% Rule [72] ld(rd(unit,rd(A,rd(unit,A))),A) -> ld(rd(unit,A),rd(A,rd(unit,A)))
% collapsed.
% Rule [89] ld(rd(unit,rd(A,rd(unit,A))),rd(unit,A)) -> A collapsed.
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [97]
% rd(rd(A,rd(unit,rd(A,rd(unit,A)))),rd(unit,A)) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [98] ld(rd(unit,A),rd(unit,rd(A,rd(unit,A)))) -> rd(unit,A)
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [99] rd(rd(A,mult(C,mult(C,B))),rd(unit,rd(C,rd(unit,C)))) -> rd(A,B)
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [100] ld(A,rd(A,rd(unit,rd(B,rd(unit,B))))) -> rd(B,rd(unit,B))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [101] ld(rd(A,rd(unit,rd(B,rd(unit,B)))),mult(A,mult(B,C))) -> ld(B,C)
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [102]
% mult(B,rd(ld(B,A),rd(rd(unit,mult(B,A)),rd(unit,rd(B,rd(unit,B)))))) ->
% rd(A,rd(rd(unit,mult(B,A)),rd(unit,rd(B,rd(unit,B)))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [103] mult(A,rd(unit,rd(B,rd(unit,B)))) -> rd(A,rd(B,rd(unit,B)))
% Rule [70] mult(A,rd(unit,rd(A,rd(unit,A)))) -> rd(unit,A) collapsed.
% Rule [73] ld(mult(A,rd(unit,rd(B,rd(unit,B)))),A) -> rd(B,rd(unit,B))
% collapsed.
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [104] ld(rd(A,rd(unit,rd(B,rd(unit,B)))),mult(A,B)) -> rd(unit,B)
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [105]
% rd(mult(A,mult(A,B)),rd(unit,B)) -> mult(A,rd(A,rd(unit,rd(B,rd(unit,B)))))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [106] mult(rd(A,rd(unit,B)),C) -> mult(rd(A,B),mult(B,mult(B,C)))
% Rule [57] mult(rd(A,rd(unit,A)),B) -> mult(A,mult(A,B)) collapsed.
% Rule
% [75] mult(rd(A,rd(unit,rd(B,rd(unit,B)))),C) -> mult(A,mult(B,mult(B,C)))
% collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [107] ld(rd(unit,A),B) -> mult(A,B)
% Rule [38] ld(rd(unit,A),A) -> rd(A,rd(unit,A)) collapsed.
% Rule [77] ld(rd(unit,A),mult(A,B)) -> mult(A,mult(A,B)) collapsed.
% Rule [96] ld(rd(unit,rd(A,rd(unit,A))),B) -> ld(rd(unit,A),ld(rd(unit,A),B))
% collapsed.
% Rule [98] ld(rd(unit,A),rd(unit,rd(A,rd(unit,A)))) -> rd(unit,A) collapsed.
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [108] rd(A,mult(B,A)) -> rd(unit,B)
% Rule [79] rd(mult(A,B),mult(A,mult(A,B))) -> rd(unit,A) collapsed.
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 55
% Rule [82] rd(rd(A,mult(B,C)),rd(unit,rd(B,rd(unit,B)))) <-> rd(A,ld(B,C)) is composed into
% [82]
% rd(rd(A,mult(B,C)),rd(unit,rd(B,rd(unit,B)))) <-> rd(A,mult(rd(unit,B),C))
% New rule produced : [109] ld(A,B) -> mult(rd(unit,A),B)
% Rule [4] mult(A,ld(A,B)) -> B collapsed.
% Rule [6] ld(A,mult(A,B)) -> B collapsed.
% Rule [10] ld(unit,A) -> A collapsed.
% Rule [11] ld(A,A) -> unit collapsed.
% Rule [13] ld(rd(A,B),A) -> B collapsed.
% Rule [31] rd(mult(A,mult(B,C)),ld(B,C)) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% collapsed.
% Rule [50] ld(A,unit) -> rd(unit,A) collapsed.
% Rule [58] ld(rd(A,rd(unit,A)),B) -> ld(A,ld(A,B)) collapsed.
% Rule [61] ld(A,rd(A,rd(unit,A))) -> A collapsed.
% Rule [63] ld(A,rd(unit,A)) -> rd(unit,rd(A,rd(unit,A))) collapsed.
% Rule [68] ld(rd(A,B),rd(A,rd(unit,B))) -> rd(B,rd(unit,B)) collapsed.
% Rule [80] rd(mult(A,B),ld(C,ld(C,B))) -> rd(A,rd(unit,rd(C,rd(unit,C))))
% collapsed.
% Rule [81] rd(A,ld(B,C)) <-> rd(rd(A,mult(B,C)),rd(unit,rd(B,rd(unit,B))))
% collapsed.
% Rule [86] ld(A,rd(A,rd(B,rd(unit,B)))) -> rd(unit,rd(B,rd(unit,B)))
% collapsed.
% Rule [100] ld(A,rd(A,rd(unit,rd(B,rd(unit,B))))) -> rd(B,rd(unit,B))
% collapsed.
% Rule [101] ld(rd(A,rd(unit,rd(B,rd(unit,B)))),mult(A,mult(B,C))) -> ld(B,C)
% collapsed.
% Rule
% [102]
% mult(B,rd(ld(B,A),rd(rd(unit,mult(B,A)),rd(unit,rd(B,rd(unit,B)))))) ->
% rd(A,rd(rd(unit,mult(B,A)),rd(unit,rd(B,rd(unit,B))))) collapsed.
% Rule [104] ld(rd(A,rd(unit,rd(B,rd(unit,B)))),mult(A,B)) -> rd(unit,B)
% collapsed.
% Rule [107] ld(rd(unit,A),B) -> mult(A,B) collapsed.
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [110] mult(A,mult(rd(unit,A),B)) -> B
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [111] mult(rd(unit,rd(A,B)),A) -> B
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [112] rd(mult(A,B),mult(rd(unit,A),B)) -> rd(A,rd(unit,A))
% Current number of equations to process: 311
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [113] rd(A,B) <-> rd(unit,rd(B,A))
% Rule [3] rd(mult(A,B),B) -> A collapsed.
% Rule [15] rd(mult(A,mult(A,B)),B) -> rd(A,rd(unit,A)) collapsed.
% Rule [27] rd(mult(A,mult(B,mult(B,C))),C) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% collapsed.
% Rule [60] rd(rd(unit,A),A) -> rd(unit,rd(A,rd(unit,A))) collapsed.
% Rule [62] rd(rd(A,rd(unit,A)),A) -> A collapsed.
% Rule [71] rd(mult(A,rd(unit,B)),B) -> rd(A,rd(B,rd(unit,B))) collapsed.
% Rule [74] rd(mult(A,B),rd(unit,B)) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% collapsed.
% Rule
% [82]
% rd(rd(A,mult(B,C)),rd(unit,rd(B,rd(unit,B)))) <-> rd(A,mult(rd(unit,B),C))
% collapsed.
% Rule [84] rd(rd(A,rd(unit,rd(B,rd(unit,B)))),rd(B,rd(unit,B))) -> A
% collapsed.
% Rule [88] rd(rd(A,rd(unit,rd(A,rd(unit,A)))),A) -> rd(A,rd(unit,A))
% collapsed.
% Rule [92] rd(mult(rd(A,B),A),B) -> rd(rd(A,B),rd(unit,rd(A,B))) collapsed.
% Rule [94] rd(rd(unit,rd(A,rd(unit,A))),rd(unit,A)) -> rd(unit,A) collapsed.
% Rule
% [97]
% rd(rd(A,rd(unit,rd(A,rd(unit,A)))),rd(unit,A)) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))) collapsed.
% Rule [99] rd(rd(A,mult(C,mult(C,B))),rd(unit,rd(C,rd(unit,C)))) -> rd(A,B)
% collapsed.
% Rule
% [105]
% rd(mult(A,mult(A,B)),rd(unit,B)) -> mult(A,rd(A,rd(unit,rd(B,rd(unit,B)))))
% collapsed.
% Current number of equations to process: 425
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced : [114] rd(unit,rd(B,A)) <-> rd(A,B)
% Current number of equations to process: 425
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [115] rd(unit,rd(B,mult(A,mult(A,B)))) -> rd(A,rd(unit,A))
% Current number of equations to process: 439
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [116] rd(A,mult(B,mult(B,A))) -> rd(unit,rd(B,rd(unit,B)))
% Rule [115] rd(unit,rd(B,mult(A,mult(A,B)))) -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 440
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [117] mult(rd(A,B),rd(B,A)) -> unit
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [118] mult(rd(A,B),mult(rd(B,A),C)) -> C
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [119]
% rd(unit,rd(rd(unit,B),mult(A,mult(A,B)))) ->
% mult(A,rd(A,rd(unit,rd(B,rd(unit,B)))))
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [120] rd(unit,rd(B,mult(A,rd(unit,B)))) -> rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [121] mult(A,rd(A,rd(B,rd(unit,B)))) -> rd(rd(A,rd(unit,A)),rd(B,rd(unit,B)))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [122] mult(rd(unit,rd(A,rd(unit,B))),rd(A,B)) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [123] rd(mult(A,B),mult(C,mult(C,B))) -> rd(A,rd(C,rd(unit,C)))
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [124] rd(A,mult(C,mult(C,B))) <-> rd(rd(A,B),rd(C,rd(unit,C)))
% Rule [116] rd(A,mult(B,mult(B,A))) -> rd(unit,rd(B,rd(unit,B))) collapsed.
% Rule
% [119]
% rd(unit,rd(rd(unit,B),mult(A,mult(A,B)))) ->
% mult(A,rd(A,rd(unit,rd(B,rd(unit,B))))) collapsed.
% Current number of equations to process: 638
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [125] rd(rd(A,B),rd(C,rd(unit,C))) <-> rd(A,mult(C,mult(C,B)))
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [126] rd(A,mult(B,rd(unit,A))) -> rd(unit,rd(B,rd(A,rd(unit,A))))
% Rule [120] rd(unit,rd(B,mult(A,rd(unit,B)))) -> rd(A,rd(B,rd(unit,B)))
% collapsed.
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [127] mult(rd(rd(unit,A),B),rd(B,A)) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 714
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [128] mult(rd(A,B),rd(B,rd(unit,A))) -> rd(A,rd(unit,A))
% Current number of equations to process: 724
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [129] mult(rd(A,mult(B,mult(B,C))),B) -> mult(rd(A,C),rd(unit,B))
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [130] mult(rd(A,rd(B,C)),rd(unit,rd(C,B))) -> A
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [131] rd(unit,rd(C,rd(B,A))) <-> rd(rd(unit,rd(A,B)),C)
% Current number of equations to process: 787
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced : [132] rd(rd(unit,rd(A,B)),C) <-> rd(unit,rd(C,rd(B,A)))
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [133] rd(rd(unit,rd(A,B)),rd(B,A)) -> unit
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [134] rd(rd(A,B),rd(unit,rd(B,A))) -> unit
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [135] rd(unit,rd(rd(unit,rd(A,B)),C)) <-> rd(C,rd(B,A))
% Current number of equations to process: 906
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [136] rd(C,rd(B,A)) <-> rd(unit,rd(rd(unit,rd(A,B)),C))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [137] rd(rd(B,C),mult(A,rd(unit,rd(C,B)))) -> rd(unit,A)
% Current number of equations to process: 1008
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [138]
% mult(B,mult(C,mult(C,mult(rd(unit,rd(B,rd(unit,rd(C,rd(unit,C))))),A)))) -> A
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [139]
% mult(rd(unit,rd(A,rd(unit,rd(B,rd(unit,B))))),mult(A,mult(B,mult(B,C)))) -> C
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [140]
% mult(mult(A,rd(A,rd(unit,rd(B,rd(unit,B))))),C) ->
% mult(A,mult(A,mult(B,mult(B,C))))
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [141] rd(unit,rd(B,mult(rd(A,B),A))) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [142]
% rd(unit,rd(rd(unit,A),rd(A,rd(unit,rd(A,rd(unit,A)))))) ->
% rd(A,rd(rd(unit,A),rd(A,rd(unit,A))))
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [143]
% rd(unit,rd(C,mult(A,mult(rd(B,C),B)))) ->
% rd(A,rd(unit,rd(rd(B,C),rd(unit,rd(B,C)))))
% Current number of equations to process: 1206
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [144]
% rd(unit,rd(rd(B,rd(unit,B)),rd(mult(A,mult(B,C)),mult(rd(unit,B),C)))) -> A
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [145]
% rd(unit,rd(mult(rd(unit,B),C),mult(rd(A,rd(B,rd(unit,B))),mult(B,C)))) -> A
% Current number of equations to process: 1335
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [146]
% rd(mult(A,B),mult(rd(unit,rd(B,C)),C)) ->
% rd(A,rd(unit,rd(rd(B,C),rd(unit,rd(B,C)))))
% Current number of equations to process: 1405
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [147] mult(rd(unit,rd(A,B)),rd(A,rd(unit,B))) -> rd(B,rd(unit,B))
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [148] rd(unit,rd(rd(unit,B),mult(A,B))) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 1515
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [149] rd(mult(rd(A,B),mult(B,C)),mult(rd(unit,B),C)) -> rd(A,rd(unit,B))
% Current number of equations to process: 1578
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [150]
% rd(unit,rd(B,mult(rd(A,rd(B,rd(unit,B))),rd(B,rd(unit,rd(B,rd(unit,B)))))))
% -> A
% Current number of equations to process: 1643
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [151]
% rd(unit,rd(A,rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))))) -> rd(A,rd(unit,A))
% Current number of equations to process: 1697
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [152] mult(rd(unit,A),rd(A,rd(unit,rd(B,rd(unit,B))))) -> rd(B,rd(unit,B))
% Current number of equations to process: 1745
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [153]
% mult(rd(unit,A),rd(B,rd(unit,mult(rd(unit,A),B)))) ->
% rd(mult(rd(unit,A),B),rd(unit,mult(rd(unit,A),B)))
% Current number of equations to process: 1783
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [154]
% mult(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))) -> rd(A,rd(unit,A))
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 63
% Rule [142]
% rd(unit,rd(rd(unit,A),rd(A,rd(unit,rd(A,rd(unit,A)))))) ->
% rd(A,rd(rd(unit,A),rd(A,rd(unit,A)))) is composed into [142]
% rd(unit,rd(
% rd(unit,A),
% rd(A,
% rd(unit,
% rd(A,
% rd(unit,A))))))
% ->
% rd(A,rd(unit,
% rd(A,
% rd(unit,
% rd(A,
% rd(unit,A))))))
% New rule produced :
% [155]
% rd(rd(unit,A),rd(A,rd(unit,A))) -> rd(unit,rd(A,rd(unit,rd(A,rd(unit,A)))))
% Rule
% [151]
% rd(unit,rd(A,rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))))) -> rd(A,rd(unit,A))
% collapsed.
% Rule
% [154]
% mult(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))) -> rd(A,rd(unit,A))
% collapsed.
% Current number of equations to process: 1853
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [156] mult(rd(unit,rd(A,rd(B,rd(unit,B)))),mult(A,rd(unit,B))) -> B
% Current number of equations to process: 1876
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [157]
% mult(rd(A,B),rd(A,rd(unit,B))) -> rd(unit,rd(rd(unit,B),mult(rd(A,B),A)))
% Current number of equations to process: 1902
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [158] rd(unit,rd(C,rd(A,rd(unit,A)))) <-> rd(mult(A,mult(A,B)),mult(C,B))
% Current number of equations to process: 1945
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [159] rd(mult(A,mult(A,B)),mult(C,B)) <-> rd(unit,rd(C,rd(A,rd(unit,A))))
% Current number of equations to process: 1945
% Current number of ordered equations: 0
% Current number of rules: 66
% Rule [158]
% rd(unit,rd(C,rd(A,rd(unit,A)))) <-> rd(mult(A,mult(A,B)),mult(C,B)) is composed into
% [158] rd(unit,rd(C,rd(A,rd(unit,A)))) <-> rd(rd(A,rd(unit,A)),C)
% New rule produced :
% [160] rd(mult(A,mult(A,C)),mult(B,C)) -> rd(rd(A,rd(unit,A)),B)
% Rule
% [159] rd(mult(A,mult(A,B)),mult(C,B)) <-> rd(unit,rd(C,rd(A,rd(unit,A))))
% collapsed.
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [161] mult(A,mult(A,rd(unit,B))) -> rd(rd(A,rd(unit,A)),B)
% Current number of equations to process: 2015
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [162] rd(mult(A,mult(A,B)),C) <-> rd(rd(A,rd(unit,A)),rd(C,B))
% Current number of equations to process: 2039
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [163] rd(rd(A,rd(unit,A)),rd(C,B)) <-> rd(mult(A,mult(A,B)),C)
% Current number of equations to process: 2039
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [164] mult(A,mult(A,rd(B,C))) -> rd(rd(A,rd(unit,A)),rd(C,B))
% Rule [161] mult(A,mult(A,rd(unit,B))) -> rd(rd(A,rd(unit,A)),B) collapsed.
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 69
% Rule [163] rd(rd(A,rd(unit,A)),rd(C,B)) <-> rd(mult(A,mult(A,B)),C) is composed into
% [163] rd(rd(A,rd(unit,A)),rd(C,B)) <-> rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)
% Rule [140]
% mult(mult(A,rd(A,rd(unit,rd(B,rd(unit,B))))),C) ->
% mult(A,mult(A,mult(B,mult(B,C)))) is composed into [140]
% mult(mult(A,rd(A,
% rd(unit,
% rd(B,
% rd(unit,B))))),C)
% ->
% rd(rd(A,rd(unit,A)),
% rd(unit,rd(rd(B,
% rd(unit,B)),
% rd(unit,C))))
% Rule [125] rd(rd(A,B),rd(C,rd(unit,C))) <-> rd(A,mult(C,mult(C,B))) is composed into
% [125] rd(rd(A,B),rd(C,rd(unit,C))) <-> rd(A,rd(rd(C,rd(unit,C)),rd(unit,B)))
% Rule [106] mult(rd(A,rd(unit,B)),C) -> mult(rd(A,B),mult(B,mult(B,C))) is composed into
% [106]
% mult(rd(A,rd(unit,B)),C) -> mult(rd(A,B),rd(rd(B,rd(unit,B)),rd(unit,C)))
% Rule [95]
% mult(rd(unit,rd(A,rd(unit,A))),B) -> mult(rd(unit,A),mult(rd(unit,A),B)) is composed into
% [95]
% mult(rd(unit,rd(A,rd(unit,A))),B) ->
% rd(rd(rd(unit,A),rd(unit,rd(unit,A))),rd(unit,B))
% New rule produced :
% [165] mult(A,mult(A,B)) -> rd(rd(A,rd(unit,A)),rd(unit,B))
% Rule [91] mult(rd(A,rd(C,rd(unit,C))),mult(C,mult(C,B))) -> mult(A,B)
% collapsed.
% Rule [123] rd(mult(A,B),mult(C,mult(C,B))) -> rd(A,rd(C,rd(unit,C)))
% collapsed.
% Rule [124] rd(A,mult(C,mult(C,B))) <-> rd(rd(A,B),rd(C,rd(unit,C)))
% collapsed.
% Rule [129] mult(rd(A,mult(B,mult(B,C))),B) -> mult(rd(A,C),rd(unit,B))
% collapsed.
% Rule
% [138]
% mult(B,mult(C,mult(C,mult(rd(unit,rd(B,rd(unit,rd(C,rd(unit,C))))),A)))) -> A
% collapsed.
% Rule
% [139]
% mult(rd(unit,rd(A,rd(unit,rd(B,rd(unit,B))))),mult(A,mult(B,mult(B,C)))) -> C
% collapsed.
% Rule [160] rd(mult(A,mult(A,C)),mult(B,C)) -> rd(rd(A,rd(unit,A)),B)
% collapsed.
% Rule [162] rd(mult(A,mult(A,B)),C) <-> rd(rd(A,rd(unit,A)),rd(C,B))
% collapsed.
% Rule [164] mult(A,mult(A,rd(B,C))) -> rd(rd(A,rd(unit,A)),rd(C,B)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% rd(rd(a,rd(unit,a)),rd(unit,mult(b,c))) = mult(rd(unit,rd(rd(unit,b),
% rd(a,rd(unit,a)))),c)
%
% Current number of equations to process: 2091
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [166] rd(rd(A,rd(unit,A)),rd(B,rd(unit,A))) -> rd(A,B)
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [167] rd(A,mult(rd(unit,rd(A,B)),B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 2222
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [168] rd(A,mult(rd(B,A),B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Rule [141] rd(unit,rd(B,mult(rd(A,B),A))) -> rd(rd(A,B),rd(unit,rd(A,B)))
% collapsed.
% Current number of equations to process: 2231
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [169] rd(unit,rd(rd(A,B),rd(unit,rd(A,B)))) <-> rd(rd(B,A),rd(unit,rd(B,A)))
% Current number of equations to process: 2286
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [170] rd(rd(B,A),rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,B),rd(unit,rd(A,B))))
% Current number of equations to process: 2286
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [171]
% mult(rd(B,A),rd(rd(A,rd(unit,A)),rd(unit,C))) <->
% mult(rd(unit,rd(rd(unit,A),B)),C)
% Current number of equations to process: 2416
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [172]
% mult(rd(unit,rd(rd(unit,A),B)),C) <->
% mult(rd(B,A),rd(rd(A,rd(unit,A)),rd(unit,C)))
% Current number of equations to process: 2416
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [173] mult(rd(unit,rd(rd(A,rd(unit,A)),B)),A) -> mult(B,rd(unit,A))
% Current number of equations to process: 2538
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [174] rd(rd(A,B),rd(rd(A,B),rd(B,A))) -> rd(unit,rd(A,B))
% Current number of equations to process: 2568
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [175] mult(rd(A,B),rd(rd(B,rd(unit,B)),rd(unit,rd(rd(unit,B),A)))) -> unit
% Current number of equations to process: 2617
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [176]
% mult(rd(rd(A,rd(unit,A)),B),mult(B,C)) -> rd(rd(A,rd(unit,A)),rd(unit,C))
% Current number of equations to process: 2663
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [177]
% rd(unit,rd(A,rd(B,rd(unit,B)))) <->
% rd(rd(rd(B,rd(unit,B)),rd(unit,C)),mult(A,C))
% Current number of equations to process: 2717
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [178]
% rd(rd(rd(B,rd(unit,B)),rd(unit,C)),mult(A,C)) <->
% rd(unit,rd(A,rd(B,rd(unit,B))))
% Current number of equations to process: 2717
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [179]
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,mult(C,A)))) <->
% rd(rd(unit,C),rd(B,rd(unit,B)))
% Current number of equations to process: 2916
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [180]
% rd(rd(unit,C),rd(B,rd(unit,B))) <->
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,mult(C,A))))
% Current number of equations to process: 2916
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [181]
% rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))) <->
% rd(rd(C,B),rd(A,rd(unit,A)))
% Current number of equations to process: 3059
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [182]
% rd(rd(C,B),rd(A,rd(unit,A))) <->
% rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C))))
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [183]
% rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)) <->
% rd(rd(C,B),rd(A,rd(unit,A)))
% Current number of equations to process: 3247
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [184]
% rd(rd(C,B),rd(A,rd(unit,A))) <->
% rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C))
% Current number of equations to process: 3247
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [185]
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),rd(unit,C)))) <->
% rd(rd(B,rd(unit,B)),rd(A,C))
% Current number of equations to process: 3502
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [186]
% rd(rd(B,rd(unit,B)),rd(A,C)) <->
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),rd(unit,C))))
% Current number of equations to process: 3502
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [187] mult(rd(A,B),rd(unit,rd(rd(unit,A),B))) -> rd(A,rd(unit,A))
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [188] mult(rd(A,B),rd(unit,rd(B,A))) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [189] mult(rd(unit,rd(rd(A,B),C)),rd(unit,rd(B,A))) -> C
% Current number of equations to process: 3845
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [190] mult(rd(rd(unit,rd(A,B)),C),rd(C,rd(B,A))) -> unit
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [191] mult(rd(A,rd(B,C)),rd(rd(unit,rd(C,B)),A)) -> unit
% Current number of equations to process: 3953
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [192] rd(unit,rd(V_3,rd(rd(B,A),C))) <-> rd(rd(rd(unit,rd(A,B)),C),V_3)
% Current number of equations to process: 3998
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [193] rd(rd(rd(unit,rd(A,B)),C),V_3) <-> rd(unit,rd(V_3,rd(rd(B,A),C)))
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [194] rd(rd(rd(unit,rd(A,B)),C),rd(rd(B,A),C)) -> unit
% Current number of equations to process: 4292
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [195] rd(unit,rd(A,rd(unit,rd(B,C)))) <-> rd(rd(C,B),A)
% Rule
% [181]
% rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))) <->
% rd(rd(C,B),rd(A,rd(unit,A))) collapsed.
% Current number of equations to process: 4383
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced : [196] rd(rd(C,B),A) <-> rd(unit,rd(A,rd(unit,rd(B,C))))
% Rule
% [182]
% rd(rd(C,B),rd(A,rd(unit,A))) <->
% rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))) collapsed.
% Current number of equations to process: 4383
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [197] rd(unit,rd(rd(A,B),C)) <-> rd(C,rd(unit,rd(B,A)))
% Current number of equations to process: 4417
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced : [198] rd(C,rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,B),C))
% Current number of equations to process: 4417
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [199] rd(rd(unit,rd(B,C)),mult(A,rd(C,B))) -> rd(unit,A)
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [200] rd(rd(A,rd(B,C)),rd(A,rd(unit,rd(C,B)))) -> unit
% Current number of equations to process: 4998
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [201] rd(rd(rd(A,B),C),rd(rd(unit,rd(B,A)),C)) -> unit
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [202] rd(rd(A,rd(unit,rd(B,C))),rd(A,rd(C,B))) -> unit
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [203] rd(unit,rd(rd(A,rd(B,C)),V_3)) <-> rd(V_3,rd(A,rd(unit,rd(C,B))))
% Current number of equations to process: 1471
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [204] rd(V_3,rd(A,rd(unit,rd(C,B)))) <-> rd(unit,rd(rd(A,rd(B,C)),V_3))
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [205] mult(rd(unit,rd(rd(unit,rd(A,B)),C)),rd(B,A)) -> C
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [206] mult(rd(unit,rd(A,B)),rd(B,A)) -> rd(rd(B,A),rd(unit,rd(B,A)))
% Current number of equations to process: 1952
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [207] mult(A,rd(B,rd(unit,mult(A,B)))) -> rd(mult(A,B),rd(unit,mult(A,B)))
% Rule
% [153]
% mult(rd(unit,A),rd(B,rd(unit,mult(rd(unit,A),B)))) ->
% rd(mult(rd(unit,A),B),rd(unit,mult(rd(unit,A),B))) collapsed.
% Current number of equations to process: 1999
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [208] mult(A,rd(rd(B,rd(unit,B)),rd(A,rd(unit,rd(B,rd(unit,B)))))) -> unit
% Current number of equations to process: 2045
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [209] mult(rd(rd(A,rd(unit,A)),rd(B,C)),B) -> rd(rd(A,rd(unit,A)),rd(unit,C))
% Current number of equations to process: 2103
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [210] rd(rd(unit,rd(A,rd(unit,A))),rd(B,A)) -> rd(rd(unit,A),B)
% Current number of equations to process: 2177
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [211] mult(rd(rd(A,B),C),rd(C,rd(unit,rd(B,A)))) -> unit
% Current number of equations to process: 2267
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [212] rd(unit,rd(A,rd(B,rd(C,V_3)))) <-> rd(rd(B,rd(unit,rd(V_3,C))),A)
% Current number of equations to process: 2330
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [213] rd(rd(B,rd(unit,rd(V_3,C))),A) <-> rd(unit,rd(A,rd(B,rd(C,V_3))))
% Current number of equations to process: 2330
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [214] rd(unit,rd(rd(rd(A,B),C),V_3)) <-> rd(V_3,rd(rd(unit,rd(B,A)),C))
% Current number of equations to process: 2715
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [215] rd(V_3,rd(rd(unit,rd(B,A)),C)) <-> rd(unit,rd(rd(rd(A,B),C),V_3))
% Current number of equations to process: 2715
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [216]
% rd(unit,rd(B,rd(rd(A,rd(unit,A)),rd(unit,rd(rd(A,rd(unit,A)),rd(unit,B))))))
% -> rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 3164
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [217]
% rd(rd(rd(A,rd(unit,A)),rd(unit,B)),rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B)))
% -> rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 3301
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [218]
% rd(A,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(rd(unit,rd(B,rd(unit,B))),
% rd(unit,A))))) ->
% rd(rd(B,rd(unit,B)),rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [219]
% rd(mult(A,rd(rd(A,rd(unit,A)),rd(unit,B))),mult(rd(unit,A),B)) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [220]
% mult(rd(unit,A),rd(rd(unit,A),rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(A,
% rd(unit,A)))))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [221]
% rd(unit,rd(C,rd(unit,rd(rd(unit,rd(rd(B,rd(unit,B)),rd(unit,C))),rd(A,
% rd(unit,A))))))
% <-> mult(A,rd(A,rd(unit,rd(B,rd(unit,B)))))
% Current number of equations to process: 3725
% Current number of ordered equations: 1
% Current number of rules: 113
% Rule [221]
% rd(unit,rd(C,rd(unit,rd(rd(unit,rd(rd(B,rd(unit,B)),rd(unit,C))),
% rd(A,rd(unit,A)))))) <->
% mult(A,rd(A,rd(unit,rd(B,rd(unit,B))))) is composed into [221]
% rd(unit,
% rd(C,rd(unit,
% rd(
% rd(unit,
% rd(
% rd(B,
% rd(unit,B)),
% rd(unit,C))),
% rd(A,
% rd(unit,A))))))
% <->
% rd(unit,
% rd(c,rd(unit,
% rd(
% rd(unit,
% rd(
% rd(B,
% rd(unit,B)),
% rd(unit,c))),
% rd(A,
% rd(unit,A))))))
% New rule produced :
% [222]
% mult(A,rd(A,rd(unit,rd(B,rd(unit,B))))) <->
% rd(unit,rd(C,rd(unit,rd(rd(unit,rd(rd(B,rd(unit,B)),rd(unit,C))),rd(A,
% rd(unit,A))))))
% Rule
% [93]
% mult(A,rd(A,rd(unit,rd(A,rd(unit,A))))) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))) collapsed.
% Rule
% [140]
% mult(mult(A,rd(A,rd(unit,rd(B,rd(unit,B))))),C) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(rd(B,rd(unit,B)),rd(unit,C)))) collapsed.
% Rule
% [220]
% mult(rd(unit,A),rd(rd(unit,A),rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(A,
% rd(unit,A)))))))
% -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [223]
% mult(rd(mult(A,mult(B,C)),mult(rd(unit,B),C)),V_3) ->
% mult(A,rd(rd(B,rd(unit,B)),rd(unit,V_3)))
% Current number of equations to process: 4010
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [224]
% rd(rd(rd(A,rd(unit,A)),rd(unit,mult(B,C))),mult(rd(unit,B),C)) ->
% rd(unit,rd(c,rd(unit,rd(rd(unit,rd(rd(B,rd(unit,B)),rd(unit,c))),rd(A,
% rd(unit,A))))))
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [225]
% rd(unit,rd(rd(B,rd(unit,B)),rd(unit,rd(c,rd(unit,rd(rd(unit,rd(rd(B,rd(unit,B)),
% rd(unit,c))),
% rd(A,rd(unit,A)))))))) ->
% rd(A,rd(unit,A))
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [226]
% rd(rd(A,rd(unit,rd(B,rd(unit,B)))),rd(rd(unit,A),rd(unit,rd(B,rd(unit,B)))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 4414
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [227] rd(rd(unit,rd(A,B)),rd(rd(B,A),rd(unit,rd(B,A)))) -> rd(A,B)
% Current number of equations to process: 4543
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [228]
% rd(unit,rd(rd(B,rd(unit,rd(B,rd(unit,B)))),mult(A,B))) ->
% rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 4661
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [229]
% rd(rd(A,rd(B,rd(unit,B))),rd(rd(unit,A),rd(B,rd(unit,B)))) ->
% rd(A,rd(unit,A))
% Current number of equations to process: 4814
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [230] mult(rd(unit,A),rd(A,rd(B,rd(unit,B)))) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 4948
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [231]
% rd(rd(unit,A),rd(unit,rd(A,rd(unit,rd(A,rd(unit,A)))))) -> rd(A,rd(unit,A))
% Current number of equations to process: 973
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [232]
% rd(unit,rd(B,mult(A,rd(B,rd(unit,rd(B,rd(unit,B))))))) ->
% rd(A,rd(unit,rd(B,rd(unit,B))))
% Rule
% [150]
% rd(unit,rd(B,mult(rd(A,rd(B,rd(unit,B))),rd(B,rd(unit,rd(B,rd(unit,B)))))))
% -> A collapsed.
% Current number of equations to process: 1043
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [233] rd(A,rd(A,rd(unit,rd(A,rd(unit,A))))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 1185
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [234] mult(rd(unit,rd(A,rd(unit,rd(B,rd(unit,B))))),mult(A,B)) -> rd(unit,B)
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [235]
% rd(unit,rd(mult(B,C),mult(A,mult(rd(unit,B),C)))) -> rd(A,rd(B,rd(unit,B)))
% Current number of equations to process: 1324
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [236]
% rd(A,mult(rd(B,C),rd(rd(C,rd(unit,C)),rd(unit,A)))) ->
% rd(unit,rd(B,rd(unit,C)))
% Current number of equations to process: 1487
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [237] mult(A,rd(rd(unit,A),rd(B,rd(unit,B)))) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 1650
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [238] mult(rd(A,rd(B,rd(unit,B))),mult(B,C)) -> mult(A,mult(rd(unit,B),C))
% Rule
% [145]
% rd(unit,rd(mult(rd(unit,B),C),mult(rd(A,rd(B,rd(unit,B))),mult(B,C)))) -> A
% collapsed.
% Current number of equations to process: 1723
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [239] mult(rd(unit,rd(B,C)),mult(rd(unit,rd(C,B)),A)) -> A
% Current number of equations to process: 1808
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [240]
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,mult(rd(unit,C),A)))) <->
% rd(C,rd(B,rd(unit,B)))
% Current number of equations to process: 1893
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [241]
% rd(C,rd(B,rd(unit,B))) <->
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,mult(rd(unit,C),A))))
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [242]
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,C))) <->
% rd(rd(unit,rd(C,A)),rd(B,rd(unit,B)))
% Current number of equations to process: 2338
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [243]
% rd(rd(unit,rd(C,A)),rd(B,rd(unit,B))) <->
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,C)))
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [244]
% rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),mult(C,B))) <->
% rd(C,rd(A,rd(unit,A)))
% Current number of equations to process: 2872
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [245]
% rd(C,rd(A,rd(unit,A))) <->
% rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),mult(C,B)))
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [246]
% rd(unit,rd(rd(A,B),rd(C,rd(unit,C)))) <->
% rd(rd(rd(C,rd(unit,C)),rd(unit,B)),A)
% Current number of equations to process: 3447
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [247]
% rd(rd(rd(C,rd(unit,C)),rd(unit,B)),A) <->
% rd(unit,rd(rd(A,B),rd(C,rd(unit,C))))
% Current number of equations to process: 3447
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [248]
% rd(B,rd(rd(A,rd(unit,A)),rd(unit,C))) <->
% rd(unit,rd(rd(A,rd(unit,A)),rd(B,C)))
% Current number of equations to process: 4072
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [249]
% rd(unit,rd(rd(A,rd(unit,A)),rd(B,C))) <->
% rd(B,rd(rd(A,rd(unit,A)),rd(unit,C)))
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [250] rd(rd(unit,A),mult(B,A)) -> rd(unit,rd(B,rd(unit,rd(A,rd(unit,A)))))
% Rule
% [148] rd(unit,rd(rd(unit,B),mult(A,B))) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% collapsed.
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [251] rd(rd(A,rd(unit,A)),rd(unit,rd(rd(unit,A),B))) -> rd(A,B)
% Rule
% [175] mult(rd(A,B),rd(rd(B,rd(unit,B)),rd(unit,rd(rd(unit,B),A)))) -> unit
% collapsed.
% Current number of equations to process: 4680
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [252] mult(rd(rd(unit,A),B),rd(unit,rd(A,B))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 4786
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [253] mult(rd(A,mult(rd(unit,B),C)),rd(unit,B)) -> mult(rd(A,mult(B,C)),B)
% Current number of equations to process: 4916
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [254]
% mult(rd(C,B),rd(unit,A)) <->
% mult(rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)),A)
% Current number of equations to process: 3026
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [255]
% mult(rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)),A) <->
% mult(rd(C,B),rd(unit,A))
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [256] rd(unit,rd(V_3,rd(A,rd(unit,rd(C,B))))) <-> rd(rd(A,rd(B,C)),V_3)
% Current number of equations to process: 3295
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [257] rd(rd(A,rd(B,C)),V_3) <-> rd(unit,rd(V_3,rd(A,rd(unit,rd(C,B)))))
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [258] rd(rd(B,A),rd(unit,rd(rd(A,B),rd(B,A)))) -> rd(A,B)
% Current number of equations to process: 3880
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [259] rd(unit,rd(rd(rd(unit,rd(A,B)),C),V_3)) <-> rd(V_3,rd(rd(B,A),C))
% Current number of equations to process: 4019
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [260] rd(V_3,rd(rd(B,A),C)) <-> rd(unit,rd(rd(rd(unit,rd(A,B)),C),V_3))
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [261] rd(mult(A,B),mult(C,mult(rd(unit,A),B))) -> rd(rd(A,rd(unit,A)),C)
% Rule
% [235]
% rd(unit,rd(mult(B,C),mult(A,mult(rd(unit,B),C)))) -> rd(A,rd(B,rd(unit,B)))
% collapsed.
% Current number of equations to process: 4766
% Current number of ordered equations: 0
% Current number of rules: 145
% Rule [254]
% mult(rd(C,B),rd(unit,A)) <->
% mult(rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)),A) is composed into
% [254]
% mult(rd(C,B),rd(unit,A)) <->
% mult(rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))),A)
% Rule [246]
% rd(unit,rd(rd(A,B),rd(C,rd(unit,C)))) <->
% rd(rd(rd(C,rd(unit,C)),rd(unit,B)),A) is composed into [246]
% rd(unit,rd(
% rd(A,B),
% rd(C,
% rd(unit,C))))
% <->
% rd(rd(C,rd(unit,C)),
% rd(unit,rd(B,A)))
% Rule [245]
% rd(C,rd(A,rd(unit,A))) <->
% rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),mult(C,B))) is composed into
% [245]
% rd(C,rd(A,rd(unit,A))) <->
% rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(B,mult(C,B)))))
% Rule [184]
% rd(rd(C,B),rd(A,rd(unit,A))) <->
% rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)) is composed into
% [184]
% rd(rd(C,B),rd(A,rd(unit,A))) <->
% rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C))))
% Rule [177]
% rd(unit,rd(A,rd(B,rd(unit,B)))) <->
% rd(rd(rd(B,rd(unit,B)),rd(unit,C)),mult(A,C)) is composed into [177]
% rd(unit,
% rd(A,
% rd(B,
% rd(unit,B))))
% <->
% rd(
% rd(B,
% rd(unit,B)),
% rd(unit,
% rd(C,
% mult(A,C))))
% Rule [163]
% rd(rd(A,rd(unit,A)),rd(C,B)) <-> rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C) is composed into
% [163] rd(rd(A,rd(unit,A)),rd(C,B)) <-> rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))
% New rule produced :
% [262]
% rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))
% Rule
% [178]
% rd(rd(rd(B,rd(unit,B)),rd(unit,C)),mult(A,C)) <->
% rd(unit,rd(A,rd(B,rd(unit,B)))) collapsed.
% Rule
% [183]
% rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)) <->
% rd(rd(C,B),rd(A,rd(unit,A))) collapsed.
% Rule
% [217]
% rd(rd(rd(A,rd(unit,A)),rd(unit,B)),rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B)))
% -> rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))) collapsed.
% Rule
% [224]
% rd(rd(rd(A,rd(unit,A)),rd(unit,mult(B,C))),mult(rd(unit,B),C)) ->
% rd(unit,rd(c,rd(unit,rd(rd(unit,rd(rd(B,rd(unit,B)),rd(unit,c))),rd(A,
% rd(unit,A))))))
% collapsed.
% Rule
% [244]
% rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),mult(C,B))) <->
% rd(C,rd(A,rd(unit,A))) collapsed.
% Rule
% [247]
% rd(rd(rd(C,rd(unit,C)),rd(unit,B)),A) <->
% rd(unit,rd(rd(A,B),rd(C,rd(unit,C)))) collapsed.
% Rule
% [255]
% mult(rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)),A) <->
% mult(rd(C,B),rd(unit,A)) collapsed.
% Current number of equations to process: 4879
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [263] mult(rd(unit,A),rd(rd(A,rd(unit,A)),rd(unit,B))) -> mult(A,B)
% Current number of equations to process: 2807
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [264] mult(rd(unit,A),rd(rd(A,rd(unit,A)),B)) -> mult(A,rd(unit,B))
% Rule [263] mult(rd(unit,A),rd(rd(A,rd(unit,A)),rd(unit,B))) -> mult(A,B)
% collapsed.
% Current number of equations to process: 2838
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [265] mult(rd(unit,A),rd(A,B)) -> mult(A,rd(unit,rd(B,rd(unit,A))))
% Rule
% [152] mult(rd(unit,A),rd(A,rd(unit,rd(B,rd(unit,B))))) -> rd(B,rd(unit,B))
% collapsed.
% Rule
% [230] mult(rd(unit,A),rd(A,rd(B,rd(unit,B)))) -> rd(unit,rd(B,rd(unit,B)))
% collapsed.
% Current number of equations to process: 2870
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [266] rd(rd(rd(A,rd(unit,A)),B),mult(A,rd(unit,B))) -> A
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [267] mult(rd(unit,A),rd(unit,rd(B,A))) -> mult(A,rd(rd(unit,A),B))
% Current number of equations to process: 2963
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [268] rd(rd(A,B),mult(A,rd(unit,rd(B,rd(unit,A))))) -> A
% Current number of equations to process: 3023
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [269] rd(rd(A,B),mult(A,rd(rd(unit,A),B))) -> A
% Current number of equations to process: 3168
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [270] rd(rd(unit,rd(A,B)),mult(B,rd(rd(unit,B),A))) -> B
% Current number of equations to process: 3255
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [271] rd(rd(A,B),rd(unit,rd(B,rd(unit,A)))) -> rd(A,rd(unit,A))
% Current number of equations to process: 3360
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [272] rd(rd(A,B),rd(rd(unit,A),B)) -> rd(A,rd(unit,A))
% Rule
% [226]
% rd(rd(A,rd(unit,rd(B,rd(unit,B)))),rd(rd(unit,A),rd(unit,rd(B,rd(unit,B)))))
% -> rd(A,rd(unit,A)) collapsed.
% Rule
% [229]
% rd(rd(A,rd(B,rd(unit,B))),rd(rd(unit,A),rd(B,rd(unit,B)))) ->
% rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 3431
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [273] rd(rd(unit,rd(A,B)),rd(rd(unit,B),A)) -> rd(B,rd(unit,B))
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [274] rd(rd(A,rd(unit,A)),rd(unit,mult(rd(unit,A),B))) -> mult(A,B)
% Current number of equations to process: 3949
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [275] mult(mult(A,B),rd(unit,mult(rd(unit,A),B))) -> rd(A,rd(unit,A))
% Current number of equations to process: 3970
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [276] mult(mult(rd(A,B),A),rd(unit,B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [277] rd(A,rd(rd(B,rd(unit,B)),rd(unit,A))) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 4223
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [278] rd(rd(unit,rd(A,B)),rd(rd(B,A),rd(A,B))) -> rd(A,B)
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [279] mult(rd(A,B),rd(rd(B,A),rd(A,B))) -> rd(unit,rd(A,B))
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [280] rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3))) <-> rd(rd(rd(C,B),V_3),A)
% Current number of equations to process: 4536
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [281] rd(rd(rd(C,B),V_3),A) <-> rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3)))
% Current number of equations to process: 4536
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [282] rd(unit,rd(rd(A,rd(unit,rd(B,C))),V_3)) <-> rd(V_3,rd(A,rd(C,B)))
% Current number of equations to process: 2550
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [283] rd(V_3,rd(A,rd(C,B))) <-> rd(unit,rd(rd(A,rd(unit,rd(B,C))),V_3))
% Current number of equations to process: 2550
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [284] mult(rd(A,rd(rd(B,rd(unit,B)),A)),B) -> rd(rd(A,rd(unit,A)),B)
% Current number of equations to process: 3348
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [285] mult(rd(rd(unit,rd(A,rd(unit,A))),B),mult(B,A)) -> rd(unit,A)
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [286] mult(mult(rd(unit,A),B),mult(rd(unit,mult(A,B)),A)) -> rd(unit,A)
% Current number of equations to process: 3482
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [287] mult(rd(A,B),rd(unit,rd(rd(A,B),rd(B,A)))) -> rd(B,A)
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [288] mult(rd(unit,A),rd(unit,B)) -> mult(A,rd(rd(unit,rd(A,rd(unit,A))),B))
% Rule [189] mult(rd(unit,rd(rd(A,B),C)),rd(unit,rd(B,A))) -> C collapsed.
% Rule [267] mult(rd(unit,A),rd(unit,rd(B,A))) -> mult(A,rd(rd(unit,A),B))
% collapsed.
% Current number of equations to process: 3680
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [289]
% mult(mult(rd(unit,A),B),rd(unit,mult(A,B))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 3765
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [290] rd(rd(unit,A),rd(rd(B,rd(unit,B)),A)) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 3852
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [291]
% rd(unit,rd(C,mult(A,rd(rd(B,rd(unit,B)),rd(unit,C))))) ->
% rd(A,rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 4008
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [292]
% mult(rd(A,rd(B,rd(unit,B))),C) ->
% mult(A,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,C)))
% Rule [90] mult(rd(A,rd(B,rd(unit,B))),B) -> mult(A,rd(unit,B)) collapsed.
% Rule
% [95]
% mult(rd(unit,rd(A,rd(unit,A))),B) ->
% rd(rd(rd(unit,A),rd(unit,rd(unit,A))),rd(unit,B)) collapsed.
% Rule
% [238] mult(rd(A,rd(B,rd(unit,B))),mult(B,C)) -> mult(A,mult(rd(unit,B),C))
% collapsed.
% Current number of equations to process: 4223
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [293]
% rd(unit,rd(rd(unit,A),rd(A,rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))))))
% -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 4348
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [294]
% rd(mult(A,mult(B,C)),mult(rd(unit,B),C)) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% Rule
% [144]
% rd(unit,rd(rd(B,rd(unit,B)),rd(mult(A,mult(B,C)),mult(rd(unit,B),C)))) -> A
% collapsed.
% Rule [149] rd(mult(rd(A,B),mult(B,C)),mult(rd(unit,B),C)) -> rd(A,rd(unit,B))
% collapsed.
% Rule
% [223]
% mult(rd(mult(A,mult(B,C)),mult(rd(unit,B),C)),V_3) ->
% mult(A,rd(rd(B,rd(unit,B)),rd(unit,V_3))) collapsed.
% Current number of equations to process: 4559
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [295]
% mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(A,rd(unit,rd(A,rd(unit,A)))))) ->
% rd(unit,rd(rd(A,rd(unit,A)),mult(A,rd(unit,rd(A,rd(unit,rd(A,rd(unit,A))))))))
% Current number of equations to process: 4758
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [296]
% mult(A,rd(unit,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,A)))) -> rd(B,rd(unit,B))
% Current number of equations to process: 4846
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [297]
% rd(rd(A,rd(unit,rd(B,rd(unit,B)))),mult(B,rd(unit,rd(B,rd(unit,rd(B,rd(unit,B)))))))
% -> rd(A,rd(unit,rd(rd(B,rd(unit,B)),rd(unit,rd(B,rd(unit,B))))))
% Current number of equations to process: 4930
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [298]
% rd(unit,rd(rd(unit,C),mult(A,rd(rd(B,rd(unit,B)),rd(unit,C))))) <->
% mult(A,rd(unit,rd(C,rd(unit,rd(rd(unit,rd(C,rd(unit,rd(C,rd(unit,C))))),
% rd(B,rd(unit,B)))))))
% Current number of equations to process: 2114
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [299]
% mult(A,rd(unit,rd(C,rd(unit,rd(rd(unit,rd(C,rd(unit,rd(C,rd(unit,C))))),
% rd(B,rd(unit,B))))))) <->
% rd(unit,rd(rd(unit,C),mult(A,rd(rd(B,rd(unit,B)),rd(unit,C)))))
% Current number of equations to process: 2114
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [300]
% rd(mult(A,rd(unit,rd(A,rd(unit,rd(A,rd(unit,A)))))),rd(unit,mult(A,rd(unit,
% rd(A,
% rd(unit,
% rd(A,
% rd(unit,A))))))))
% ->
% rd(unit,rd(rd(A,rd(unit,A)),mult(A,rd(unit,rd(A,rd(unit,rd(A,rd(unit,A))))))))
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [301]
% rd(unit,rd(A,rd(rd(A,rd(unit,A)),rd(A,rd(unit,rd(rd(A,rd(unit,A)),rd(unit,
% rd(A,
% rd(unit,A)))))))))
% -> rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))))
% Current number of equations to process: 2698
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [302]
% mult(A,rd(unit,rd(rd(B,C),rd(C,B)))) ->
% rd(A,rd(unit,rd(rd(C,B),rd(unit,rd(C,B)))))
% Rule [287] mult(rd(A,B),rd(unit,rd(rd(A,B),rd(B,A)))) -> rd(B,A) collapsed.
% Current number of equations to process: 2853
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [303]
% mult(A,rd(rd(B,rd(unit,B)),rd(C,rd(unit,C)))) ->
% rd(rd(A,rd(unit,rd(B,rd(unit,B)))),rd(C,rd(unit,C)))
% Current number of equations to process: 2947
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [304]
% rd(rd(unit,A),rd(A,rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))))) ->
% rd(A,rd(unit,A))
% Rule
% [293]
% rd(unit,rd(rd(unit,A),rd(A,rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))))))
% -> rd(unit,rd(A,rd(unit,A))) collapsed.
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [305]
% rd(unit,rd(rd(B,rd(unit,B)),rd(unit,rd(rd(unit,rd(B,rd(unit,B))),A)))) -> A
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [306]
% rd(unit,rd(B,rd(unit,rd(B,rd(A,rd(unit,A)))))) <->
% rd(rd(A,rd(unit,A)),rd(B,rd(unit,B)))
% Current number of equations to process: 3321
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [307]
% rd(rd(A,rd(unit,A)),rd(B,rd(unit,B))) <->
% rd(unit,rd(B,rd(unit,rd(B,rd(A,rd(unit,A))))))
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [308]
% rd(unit,rd(rd(B,rd(unit,B)),rd(A,mult(rd(unit,B),C)))) -> rd(A,mult(B,C))
% Current number of equations to process: 3789
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [309]
% mult(rd(unit,rd(A,rd(B,rd(unit,B)))),mult(A,C)) ->
% rd(rd(B,rd(unit,B)),rd(unit,C))
% Rule [156] mult(rd(unit,rd(A,rd(B,rd(unit,B)))),mult(A,rd(unit,B))) -> B
% collapsed.
% Current number of equations to process: 4007
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [310]
% mult(rd(A,mult(rd(unit,B),C)),V_3) ->
% mult(rd(A,mult(B,C)),rd(rd(B,rd(unit,B)),rd(unit,V_3)))
% Rule
% [253] mult(rd(A,mult(rd(unit,B),C)),rd(unit,B)) -> mult(rd(A,mult(B,C)),B)
% collapsed.
% Current number of equations to process: 4142
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [311]
% mult(rd(A,rd(rd(V_3,rd(unit,V_3)),rd(unit,B))),rd(rd(V_3,rd(unit,V_3)),
% rd(unit,C))) ->
% mult(rd(A,B),C)
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [312] mult(A,rd(rd(unit,A),rd(unit,rd(B,rd(unit,B))))) -> rd(B,rd(unit,B))
% Current number of equations to process: 4500
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [313] rd(rd(unit,rd(A,B)),rd(unit,rd(A,rd(unit,A)))) -> rd(B,rd(unit,A))
% Current number of equations to process: 4581
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [314] rd(mult(rd(A,B),C),mult(rd(B,A),C)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 4782
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [315]
% mult(rd(A,B),rd(rd(B,rd(unit,B)),rd(unit,mult(rd(rd(unit,B),A),C)))) -> C
% Current number of equations to process: 4952
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [316]
% mult(rd(rd(unit,A),B),mult(rd(B,A),rd(rd(A,rd(unit,A)),rd(unit,C)))) -> C
% Current number of equations to process: 4952
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [317]
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),A))) <->
% rd(rd(B,rd(unit,B)),rd(A,rd(unit,A)))
% Current number of equations to process: 1001
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [318]
% rd(rd(B,rd(unit,B)),rd(A,rd(unit,A))) <->
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),A)))
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [319] mult(A,rd(rd(unit,rd(B,rd(unit,B))),rd(A,rd(B,rd(unit,B))))) -> unit
% Current number of equations to process: 1485
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [320] rd(mult(A,B),mult(rd(C,B),C)) -> rd(A,rd(rd(C,B),rd(unit,rd(C,B))))
% Current number of equations to process: 1606
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [321]
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,mult(rd(C,V_3),A)))) <->
% rd(rd(V_3,C),rd(B,rd(unit,B)))
% Current number of equations to process: 1832
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [322]
% rd(rd(V_3,C),rd(B,rd(unit,B))) <->
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,mult(rd(C,V_3),A))))
% Current number of equations to process: 1832
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [323] rd(rd(A,B),rd(B,rd(unit,B))) -> rd(A,rd(B,rd(unit,rd(B,rd(unit,B)))))
% Rule
% [155]
% rd(rd(unit,A),rd(A,rd(unit,A))) -> rd(unit,rd(A,rd(unit,rd(A,rd(unit,A)))))
% collapsed.
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [324]
% mult(rd(unit,rd(rd(A,B),rd(C,rd(unit,C)))),A) ->
% rd(rd(C,rd(unit,C)),rd(unit,B))
% Current number of equations to process: 2664
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [325]
% mult(rd(unit,rd(A,rd(rd(B,rd(unit,B)),rd(unit,C)))),rd(A,C)) ->
% rd(B,rd(unit,B))
% Current number of equations to process: 2845
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [326] mult(rd(rd(A,B),C),rd(C,rd(B,A))) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [327]
% mult(rd(rd(A,rd(unit,A)),rd(B,C)),rd(rd(rd(B,C),rd(unit,rd(B,C))),rd(unit,
% mult(
% rd(C,B),
% rd(unit,A)))))
% -> A
% Current number of equations to process: 3186
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [328] mult(rd(A,mult(rd(B,C),B)),rd(B,C)) -> mult(rd(A,C),rd(unit,rd(B,C)))
% Current number of equations to process: 3410
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [329] mult(mult(rd(A,B),A),mult(B,rd(rd(unit,B),A))) -> rd(A,B)
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [330]
% rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3))) <-> rd(rd(unit,rd(V_3,rd(C,B))),A)
% Current number of equations to process: 3632
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [331]
% rd(rd(unit,rd(V_3,rd(C,B))),A) <-> rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3)))
% Current number of equations to process: 3632
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [332] mult(rd(rd(unit,rd(A,B)),C),mult(rd(C,rd(B,A)),V_3)) -> V_3
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [333] mult(rd(A,rd(B,C)),mult(rd(rd(unit,rd(C,B)),A),V_3)) -> V_3
% Current number of equations to process: 4500
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [334] mult(rd(rd(unit,rd(A,B)),C),rd(unit,rd(rd(B,A),C))) -> unit
% Current number of equations to process: 4664
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [335] mult(rd(A,rd(rd(B,C),V_3)),rd(rd(unit,rd(C,B)),V_3)) -> A
% Current number of equations to process: 4664
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [336] mult(rd(unit,rd(A,rd(B,C))),rd(A,rd(unit,rd(C,B)))) -> unit
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [337] mult(rd(A,rd(B,rd(unit,rd(C,V_3)))),rd(B,rd(V_3,C))) -> A
% Current number of equations to process: 1151
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [338]
% rd(unit,rd(rd(unit,rd(A,rd(B,C))),V_3)) <-> rd(V_3,rd(rd(unit,rd(C,B)),A))
% Current number of equations to process: 1335
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [339]
% rd(V_3,rd(rd(unit,rd(C,B)),A)) <-> rd(unit,rd(rd(unit,rd(A,rd(B,C))),V_3))
% Current number of equations to process: 1335
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [340] mult(rd(A,rd(B,C)),rd(unit,rd(A,rd(unit,rd(C,B))))) -> unit
% Current number of equations to process: 2285
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [341]
% rd(unit,rd(A,rd(B,rd(C,V_3)))) <-> rd(rd(unit,rd(rd(unit,rd(V_3,C)),B)),A)
% Current number of equations to process: 2428
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [342]
% rd(rd(unit,rd(rd(unit,rd(V_3,C)),B)),A) <-> rd(unit,rd(A,rd(B,rd(C,V_3))))
% Current number of equations to process: 2428
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [343] mult(rd(rd(A,B),C),rd(unit,rd(rd(unit,rd(B,A)),C))) -> unit
% Current number of equations to process: 3244
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [344] mult(rd(unit,rd(rd(unit,rd(A,B)),C)),rd(rd(B,A),C)) -> unit
% Current number of equations to process: 3244
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [345]
% rd(unit,rd(c,rd(unit,rd(rd(rd(unit,c),rd(rd(B,A),rd(unit,rd(B,A)))),rd(
% rd(A,B),
% rd(unit,
% rd(A,B)))))))
% -> unit
% Current number of equations to process: 3604
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [346] rd(unit,rd(rd(A,B),mult(C,rd(B,A)))) -> rd(C,rd(rd(A,B),rd(B,A)))
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [347]
% mult(rd(A,B),rd(unit,rd(rd(unit,rd(A,rd(unit,B))),rd(unit,rd(rd(A,B),
% rd(unit,rd(A,B)))))))
% -> rd(B,rd(unit,B))
% Current number of equations to process: 4208
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [348]
% mult(A,rd(rd(B,rd(unit,B)),rd(unit,mult(rd(unit,rd(A,rd(unit,rd(B,rd(unit,B))))),C))))
% -> C
% Current number of equations to process: 4477
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [349]
% mult(rd(unit,rd(B,rd(unit,rd(A,rd(unit,A))))),mult(B,rd(rd(A,rd(unit,A)),
% rd(unit,C)))) -> C
% Current number of equations to process: 4642
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [350]
% rd(mult(rd(unit,A),B),mult(C,mult(A,B))) -> rd(rd(unit,rd(A,rd(unit,A))),C)
% Current number of equations to process: 4807
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [351] rd(mult(rd(A,B),A),mult(C,B)) -> rd(rd(rd(A,B),rd(unit,rd(A,B))),C)
% Current number of equations to process: 4979
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [352] rd(rd(A,B),mult(C,rd(B,A))) -> rd(rd(rd(A,B),rd(unit,rd(A,B))),C)
% Rule [346] rd(unit,rd(rd(A,B),mult(C,rd(B,A)))) -> rd(C,rd(rd(A,B),rd(B,A)))
% collapsed.
% Current number of equations to process: 1140
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [353] rd(rd(A,rd(unit,A)),rd(B,A)) <-> rd(rd(A,rd(unit,rd(A,rd(unit,A)))),B)
% Current number of equations to process: 1331
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [354] rd(rd(A,rd(unit,rd(A,rd(unit,A)))),B) <-> rd(rd(A,rd(unit,A)),rd(B,A))
% Current number of equations to process: 1331
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [355] rd(A,rd(rd(B,rd(unit,B)),A)) <-> rd(rd(A,rd(unit,A)),rd(B,rd(unit,B)))
% Current number of equations to process: 1977
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [356] rd(rd(A,rd(unit,A)),rd(B,rd(unit,B))) <-> rd(A,rd(rd(B,rd(unit,B)),A))
% Current number of equations to process: 1977
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [357] rd(A,rd(rd(B,rd(unit,B)),A)) <-> rd(unit,rd(B,rd(rd(A,rd(unit,A)),B)))
% Current number of equations to process: 2438
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [358] rd(unit,rd(B,rd(rd(A,rd(unit,A)),B))) <-> rd(A,rd(rd(B,rd(unit,B)),A))
% Current number of equations to process: 2438
% Current number of ordered equations: 0
% Current number of rules: 216
% Rule [254]
% mult(rd(C,B),rd(unit,A)) <->
% mult(rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))),A) is composed into
% [254]
% mult(rd(C,B),rd(unit,A)) <->
% rd(rd(unit,rd(rd(rd(A,rd(unit,A)),rd(unit,rd(B,C))),rd(unit,rd(rd(A,rd(unit,A)),
% rd(unit,rd(B,C)))))),
% rd(unit,mult(rd(rd(A,rd(unit,A)),rd(unit,rd(B,C))),A)))
% Rule [241]
% rd(C,rd(B,rd(unit,B))) <->
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,mult(rd(unit,C),A)))) is composed into
% [241]
% rd(C,rd(B,rd(unit,B))) <->
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,rd(rd(unit,rd(C,rd(unit,C))),rd(unit,
% mult(C,A))))))
% Rule [171]
% mult(rd(B,A),rd(rd(A,rd(unit,A)),rd(unit,C))) <->
% mult(rd(unit,rd(rd(unit,A),B)),C) is composed into [171]
% mult(rd(B,A),
% rd(rd(A,rd(unit,A)),
% rd(unit,C))) <->
% rd(rd(unit,rd(
% rd(
% rd(unit,A),B),
% rd(unit,
% rd(
% rd(unit,A),B)))),
% rd(unit,mult(
% rd(rd(unit,A),B),C)))
% Rule [109] ld(A,B) -> mult(rd(unit,A),B) is composed into [109]
% ld(A,B) ->
% rd(rd(unit,
% rd(A,rd(unit,A))),
% rd(unit,mult(A,B)))
% New rule produced :
% [359] mult(rd(unit,A),B) -> rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))
% Rule [78] mult(rd(unit,A),mult(A,B)) -> B collapsed.
% Rule [110] mult(A,mult(rd(unit,A),B)) -> B collapsed.
% Rule [111] mult(rd(unit,rd(A,B)),A) -> B collapsed.
% Rule [112] rd(mult(A,B),mult(rd(unit,A),B)) -> rd(A,rd(unit,A)) collapsed.
% Rule
% [122] mult(rd(unit,rd(A,rd(unit,B))),rd(A,B)) -> rd(unit,rd(B,rd(unit,B)))
% collapsed.
% Rule
% [146]
% rd(mult(A,B),mult(rd(unit,rd(B,C)),C)) ->
% rd(A,rd(unit,rd(rd(B,C),rd(unit,rd(B,C))))) collapsed.
% Rule [147] mult(rd(unit,rd(A,B)),rd(A,rd(unit,B))) -> rd(B,rd(unit,B))
% collapsed.
% Rule [167] rd(A,mult(rd(unit,rd(A,B)),B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% collapsed.
% Rule
% [172]
% mult(rd(unit,rd(rd(unit,A),B)),C) <->
% mult(rd(B,A),rd(rd(A,rd(unit,A)),rd(unit,C))) collapsed.
% Rule [173] mult(rd(unit,rd(rd(A,rd(unit,A)),B)),A) -> mult(B,rd(unit,A))
% collapsed.
% Rule [205] mult(rd(unit,rd(rd(unit,rd(A,B)),C)),rd(B,A)) -> C collapsed.
% Rule [206] mult(rd(unit,rd(A,B)),rd(B,A)) -> rd(rd(B,A),rd(unit,rd(B,A)))
% collapsed.
% Rule
% [219]
% rd(mult(A,rd(rd(A,rd(unit,A)),rd(unit,B))),mult(rd(unit,A),B)) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))) collapsed.
% Rule
% [234] mult(rd(unit,rd(A,rd(unit,rd(B,rd(unit,B))))),mult(A,B)) -> rd(unit,B)
% collapsed.
% Rule [239] mult(rd(unit,rd(B,C)),mult(rd(unit,rd(C,B)),A)) -> A collapsed.
% Rule
% [240]
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,mult(rd(unit,C),A)))) <->
% rd(C,rd(B,rd(unit,B))) collapsed.
% Rule [261] rd(mult(A,B),mult(C,mult(rd(unit,A),B))) -> rd(rd(A,rd(unit,A)),C)
% collapsed.
% Rule [264] mult(rd(unit,A),rd(rd(A,rd(unit,A)),B)) -> mult(A,rd(unit,B))
% collapsed.
% Rule [265] mult(rd(unit,A),rd(A,B)) -> mult(A,rd(unit,rd(B,rd(unit,A))))
% collapsed.
% Rule [274] rd(rd(A,rd(unit,A)),rd(unit,mult(rd(unit,A),B))) -> mult(A,B)
% collapsed.
% Rule [275] mult(mult(A,B),rd(unit,mult(rd(unit,A),B))) -> rd(A,rd(unit,A))
% collapsed.
% Rule [286] mult(mult(rd(unit,A),B),mult(rd(unit,mult(A,B)),A)) -> rd(unit,A)
% collapsed.
% Rule
% [288] mult(rd(unit,A),rd(unit,B)) -> mult(A,rd(rd(unit,rd(A,rd(unit,A))),B))
% collapsed.
% Rule
% [289]
% mult(mult(rd(unit,A),B),rd(unit,mult(A,B))) -> rd(unit,rd(A,rd(unit,A)))
% collapsed.
% Rule
% [294]
% rd(mult(A,mult(B,C)),mult(rd(unit,B),C)) -> rd(A,rd(unit,rd(B,rd(unit,B))))
% collapsed.
% Rule
% [308]
% rd(unit,rd(rd(B,rd(unit,B)),rd(A,mult(rd(unit,B),C)))) -> rd(A,mult(B,C))
% collapsed.
% Rule
% [309]
% mult(rd(unit,rd(A,rd(B,rd(unit,B)))),mult(A,C)) ->
% rd(rd(B,rd(unit,B)),rd(unit,C)) collapsed.
% Rule
% [310]
% mult(rd(A,mult(rd(unit,B),C)),V_3) ->
% mult(rd(A,mult(B,C)),rd(rd(B,rd(unit,B)),rd(unit,V_3))) collapsed.
% Rule
% [324]
% mult(rd(unit,rd(rd(A,B),rd(C,rd(unit,C)))),A) ->
% rd(rd(C,rd(unit,C)),rd(unit,B)) collapsed.
% Rule
% [325]
% mult(rd(unit,rd(A,rd(rd(B,rd(unit,B)),rd(unit,C)))),rd(A,C)) ->
% rd(B,rd(unit,B)) collapsed.
% Rule [336] mult(rd(unit,rd(A,rd(B,C))),rd(A,rd(unit,rd(C,B)))) -> unit
% collapsed.
% Rule [344] mult(rd(unit,rd(rd(unit,rd(A,B)),C)),rd(rd(B,A),C)) -> unit
% collapsed.
% Rule
% [348]
% mult(A,rd(rd(B,rd(unit,B)),rd(unit,mult(rd(unit,rd(A,rd(unit,rd(B,rd(unit,B))))),C))))
% -> C collapsed.
% Rule
% [349]
% mult(rd(unit,rd(B,rd(unit,rd(A,rd(unit,A))))),mult(B,rd(rd(A,rd(unit,A)),
% rd(unit,C)))) -> C
% collapsed.
% Rule
% [350]
% rd(mult(rd(unit,A),B),mult(C,mult(A,B))) -> rd(rd(unit,rd(A,rd(unit,A))),C)
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% rd(rd(a,rd(unit,a)),rd(unit,mult(b,c))) = rd(rd(unit,rd(rd(rd(unit,b),
% rd(a,rd(unit,a))),
% rd(unit,rd(rd(unit,b),
% rd(a,rd(unit,a)))))),
% rd(unit,rd(rd(unit,rd(b,rd(unit,b))),
% rd(unit,mult(b,rd(unit,
% rd(rd(unit,c),
% rd(unit,
% rd(a,
% rd(unit,a))))))))))
%
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [360] mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))) -> B
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [361]
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,rd(rd(A,rd(unit,A)),rd(unit,B)))) -> B
% Current number of equations to process: 3031
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [362]
% mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B))) ->
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))
% Rule [360] mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))) -> B
% collapsed.
% Current number of equations to process: 3354
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [363]
% rd(rd(unit,rd(rd(A,B),rd(unit,rd(A,B)))),rd(unit,mult(rd(A,B),rd(unit,
% rd(rd(unit,B),A)))))
% -> rd(B,rd(unit,B))
% Current number of equations to process: 3448
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [364]
% rd(rd(unit,rd(rd(rd(A,B),C),rd(unit,rd(rd(A,B),C)))),rd(unit,mult(rd(
% rd(A,B),C),
% rd(rd(unit,
% rd(B,A)),C))))
% -> unit
% Current number of equations to process: 3653
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [365]
% rd(unit,rd(A,rd(unit,rd(B,rd(C,V_3))))) <-> rd(rd(rd(unit,rd(V_3,C)),B),A)
% Current number of equations to process: 3953
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [366]
% rd(rd(rd(unit,rd(V_3,C)),B),A) <-> rd(unit,rd(A,rd(unit,rd(B,rd(C,V_3)))))
% Current number of equations to process: 3953
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [367]
% rd(unit,rd(rd(unit,rd(A,B)),rd(C,V_3))) <-> rd(rd(unit,rd(V_3,C)),rd(B,A))
% Current number of equations to process: 4747
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [368]
% rd(rd(unit,rd(V_3,C)),rd(B,A)) <-> rd(unit,rd(rd(unit,rd(A,B)),rd(C,V_3)))
% Current number of equations to process: 4747
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [369] rd(rd(rd(unit,rd(A,B)),C),rd(unit,rd(C,rd(B,A)))) -> unit
% Current number of equations to process: 2191
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [370]
% rd(unit,rd(V_3,rd(rd(C,B),A))) <-> rd(rd(unit,rd(A,rd(unit,rd(B,C)))),V_3)
% Current number of equations to process: 2471
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [371]
% rd(rd(unit,rd(A,rd(unit,rd(B,C)))),V_3) <-> rd(unit,rd(V_3,rd(rd(C,B),A)))
% Current number of equations to process: 2471
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [372] rd(rd(unit,rd(A,rd(unit,rd(B,C)))),rd(rd(C,B),A)) -> unit
% Current number of equations to process: 3282
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [373] rd(rd(unit,rd(A,rd(B,C))),rd(rd(unit,rd(C,B)),A)) -> unit
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [374] mult(A,rd(rd(B,C),rd(C,B))) -> rd(A,rd(rd(C,B),rd(unit,rd(C,B))))
% Rule [279] mult(rd(A,B),rd(rd(B,A),rd(A,B))) -> rd(unit,rd(A,B)) collapsed.
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [375] mult(rd(A,rd(rd(unit,rd(B,C)),V_3)),rd(rd(C,B),V_3)) -> A
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [376]
% rd(unit,rd(rd(A,B),rd(C,V_3))) <-> rd(rd(unit,rd(V_3,C)),rd(unit,rd(B,A)))
% Current number of equations to process: 4149
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [377]
% rd(rd(unit,rd(V_3,C)),rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,B),rd(C,V_3)))
% Current number of equations to process: 4149
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [378] mult(rd(A,rd(B,rd(C,V_3))),rd(B,rd(unit,rd(V_3,C)))) -> A
% Current number of equations to process: 4989
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [379]
% rd(unit,rd(rd(A,rd(unit,rd(B,C))),V_3)) <-> rd(V_3,rd(unit,rd(rd(C,B),A)))
% Current number of equations to process: 1158
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [380]
% rd(V_3,rd(unit,rd(rd(C,B),A))) <-> rd(unit,rd(rd(A,rd(unit,rd(B,C))),V_3))
% Current number of equations to process: 1158
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [381]
% rd(unit,rd(rd(rd(unit,rd(A,B)),C),V_3)) <-> rd(V_3,rd(unit,rd(C,rd(B,A))))
% Current number of equations to process: 2139
% Current number of ordered equations: 3
% Current number of rules: 202
% New rule produced :
% [382]
% rd(unit,rd(A,rd(B,rd(unit,rd(C,V_3))))) <-> rd(rd(unit,rd(rd(V_3,C),B)),A)
% Current number of equations to process: 2139
% Current number of ordered equations: 2
% Current number of rules: 203
% New rule produced :
% [383]
% rd(V_3,rd(unit,rd(C,rd(B,A)))) <-> rd(unit,rd(rd(rd(unit,rd(A,B)),C),V_3))
% Current number of equations to process: 2139
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [384]
% rd(rd(unit,rd(rd(V_3,C),B)),A) <-> rd(unit,rd(A,rd(B,rd(unit,rd(C,V_3)))))
% Current number of equations to process: 2139
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [385]
% rd(unit,rd(rd(A,rd(B,C)),V_3)) <-> rd(V_3,rd(unit,rd(rd(unit,rd(C,B)),A)))
% Current number of equations to process: 4000
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [386]
% rd(V_3,rd(unit,rd(rd(unit,rd(C,B)),A))) <-> rd(unit,rd(rd(A,rd(B,C)),V_3))
% Current number of equations to process: 4000
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [387]
% rd(A,rd(B,rd(unit,rd(C,V_3)))) <-> rd(unit,rd(rd(unit,rd(rd(V_3,C),B)),A))
% Current number of equations to process: 1336
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [388]
% rd(unit,rd(rd(unit,rd(rd(V_3,C),B)),A)) <-> rd(A,rd(B,rd(unit,rd(C,V_3))))
% Current number of equations to process: 1336
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [389] rd(rd(rd(A,B),C),rd(unit,rd(C,rd(unit,rd(B,A))))) -> unit
% Current number of equations to process: 25Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------