TSTP Solution File: GRP678-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP678-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n049.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 00:23:57 EDT 2014
% Result : Timeout 300.08s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP678-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n049.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 00:52:38 CDT 2014
% % CPUTime : 300.08
% Processing problem /tmp/CiME_13125_n049.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a,op_c,unit : constant; asoc : 3; rd : 2; mult : 2; ld : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% mult(A,ld(A,B)) = B;
% ld(A,mult(A,B)) = B;
% mult(rd(A,B),B) = A;
% rd(mult(A,B),B) = A;
% mult(A,unit) = A;
% mult(unit,A) = A;
% mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C));
% mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C)));
% asoc(A,B,C) = ld(mult(A,mult(B,C)),mult(mult(A,B),C));
% mult(op_c,mult(A,B)) = mult(mult(op_c,A),B);
% mult(A,mult(op_c,B)) = mult(mult(A,op_c),B);
% mult(A,mult(B,op_c)) = mult(mult(A,B),op_c);
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% op_c lr_lex;
% asoc lr_lex;
% unit lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
%
% let p1 = precedence F "
% asoc > ld > mult > rd > unit > op_c > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% op_c mul;
% asoc mul;
% unit mul;
% rd mul;
% mult mul;
% ld mul;
% ";
%
% let p2 = precedence F "
% asoc > ld > mult > rd > unit = op_c = a = b = c";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " mult(asoc(a,b,c),op_c) = mult(op_c,asoc(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,C)) =
% mult(rd(mult(A,B),A),mult(A,C)),
% mult(mult(A,B),C) =
% mult(mult(A,C),ld(C,mult(B,C))),
% asoc(A,B,C) =
% ld(mult(A,mult(B,C)),mult(mult(A,B),C)),
% mult(op_c,mult(A,B)) = mult(mult(op_c,A),B),
% mult(A,mult(op_c,B)) = mult(mult(A,op_c),B),
% mult(A,mult(B,op_c)) = mult(mult(A,B),op_c) }
% (12 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { mult(asoc(a,b,c),op_c) =
% mult(op_c,asoc(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: 12
% 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: 11
% 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: 10
% 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: 9
% 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: 8
% 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: 7
% Current number of rules: 6
% New rule produced : [7] mult(mult(A,B),op_c) -> mult(A,mult(B,op_c))
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 7
% New rule produced : [8] mult(mult(op_c,A),B) -> mult(op_c,mult(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 8
% New rule produced : [9] mult(mult(A,op_c),B) -> mult(A,mult(op_c,B))
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 9
% New rule produced :
% [10] mult(mult(A,B),C) <-> mult(mult(A,C),ld(C,mult(B,C)))
% Current number of equations to process: 0
% Current number of ordered equations: 26
% Current number of rules: 10
% New rule produced : [11] mult(rd(mult(A,B),A),mult(A,C)) -> mult(A,mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 25
% Current number of rules: 11
% New rule produced :
% [12] mult(mult(A,C),ld(C,mult(B,C))) <-> mult(mult(A,B),C)
% Current number of equations to process: 0
% Current number of ordered equations: 24
% Current number of rules: 12
% New rule produced :
% [13] asoc(A,B,C) -> ld(mult(A,mult(B,C)),mult(mult(A,B),C))
% The conjecture has been reduced.
% Conjecture is now:
% mult(ld(mult(a,mult(b,c)),mult(mult(a,b),c)),op_c) = mult(op_c,ld(mult(a,
% mult(b,c)),
% mult(mult(a,b),c)))
%
% Current number of equations to process: 0
% Current number of ordered equations: 23
% Current number of rules: 13
% New rule produced : [14] rd(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 21
% Current number of rules: 14
% New rule produced : [15] rd(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 20
% Current number of rules: 15
% New rule produced : [16] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 18
% Current number of rules: 16
% New rule produced : [17] ld(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 17
% Current number of rules: 17
% New rule produced : [18] rd(A,ld(B,A)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 16
% Current number of rules: 18
% New rule produced : [19] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 15
% Current number of rules: 19
% New rule produced : [20] rd(mult(A,mult(B,op_c)),op_c) -> mult(A,B)
% Current number of equations to process: 0
% Current number of ordered equations: 14
% Current number of rules: 20
% New rule produced : [21] mult(B,mult(ld(B,A),op_c)) -> mult(A,op_c)
% Current number of equations to process: 0
% Current number of ordered equations: 13
% Current number of rules: 21
% New rule produced : [22] mult(rd(A,B),mult(B,op_c)) -> mult(A,op_c)
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 22
% New rule produced : [23] rd(mult(op_c,mult(A,B)),B) -> mult(op_c,A)
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 23
% New rule produced : [24] mult(op_c,mult(ld(op_c,A),B)) -> mult(A,B)
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 24
% New rule produced : [25] rd(mult(A,mult(op_c,B)),B) -> mult(A,op_c)
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 25
% New rule produced : [26] mult(rd(A,op_c),mult(op_c,B)) -> mult(A,B)
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 26
% New rule produced : [27] ld(mult(A,B),mult(A,mult(B,op_c))) -> op_c
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 27
% New rule produced : [28] mult(op_c,mult(B,ld(mult(op_c,B),A))) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 28
% New rule produced : [29] ld(mult(op_c,A),mult(op_c,mult(A,B))) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 29
% New rule produced : [30] mult(B,mult(op_c,ld(mult(B,op_c),A))) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 30
% New rule produced : [31] ld(mult(A,op_c),mult(A,mult(op_c,B))) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 31
% New rule produced :
% [32] mult(mult(A,B),mult(op_c,op_c)) -> mult(A,mult(B,mult(op_c,op_c)))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 32
% New rule produced :
% [33] mult(mult(A,mult(op_c,op_c)),B) -> mult(A,mult(op_c,mult(op_c,B)))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [34] mult(mult(A,mult(B,op_c)),C) -> mult(mult(A,B),mult(op_c,C))
% Rule [33] mult(mult(A,mult(op_c,op_c)),B) -> mult(A,mult(op_c,mult(op_c,B)))
% collapsed.
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [35] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C))
% Rule [21] mult(B,mult(ld(B,A),op_c)) -> mult(A,op_c) collapsed.
% Rule [24] mult(op_c,mult(ld(op_c,A),B)) -> mult(A,B) collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 2
% Current number of rules: 32
% New rule produced : [36] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,B),A),C)
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced : [37] mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,ld(A,C)))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [38] mult(A,ld(B,mult(C,B))) <-> mult(mult(rd(A,B),C),B)
% Current number of equations to process: 31
% Current number of ordered equations: 3
% Current number of rules: 35
% New rule produced : [39] mult(mult(A,B),ld(B,C)) <-> mult(mult(A,rd(C,B)),B)
% Current number of equations to process: 31
% Current number of ordered equations: 2
% Current number of rules: 36
% New rule produced : [40] mult(mult(rd(A,B),C),B) <-> mult(A,ld(B,mult(C,B)))
% Current number of equations to process: 31
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced : [41] mult(mult(A,rd(C,B)),B) <-> mult(mult(A,B),ld(B,C))
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [42] mult(mult(A,B),ld(B,mult(op_c,B))) -> mult(A,mult(op_c,B))
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [43] rd(mult(A,mult(B,C)),mult(A,C)) -> rd(mult(A,B),A)
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [44] ld(mult(A,B),mult(mult(A,C),B)) -> ld(B,mult(C,B))
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [45] rd(mult(mult(A,B),ld(B,mult(C,B))),B) -> mult(A,C)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [46] mult(mult(rd(A,C),B),ld(B,mult(C,B))) -> mult(A,B)
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [47] ld(rd(mult(A,B),A),mult(A,mult(B,C))) -> mult(A,C)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [48] rd(mult(mult(A,B),C),ld(C,mult(B,C))) -> mult(A,C)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [49] mult(A,rd(B,op_c)) -> rd(mult(A,B),op_c)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [50] mult(rd(A,mult(B,op_c)),B) -> rd(A,op_c)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [51] rd(mult(A,op_c),mult(B,op_c)) -> rd(A,B)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [52] mult(rd(A,rd(B,op_c)),B) -> mult(A,op_c)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [53] ld(rd(A,B),mult(A,op_c)) -> mult(B,op_c)
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [54] mult(op_c,rd(A,B)) -> rd(mult(op_c,A),B)
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [55] rd(mult(op_c,A),ld(B,A)) -> mult(op_c,B)
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [56] rd(mult(A,B),ld(op_c,B)) <-> mult(A,op_c)
% Current number of equations to process: 53
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced : [57] mult(A,op_c) <-> rd(mult(A,B),ld(op_c,B))
% The conjecture has been reduced.
% Conjecture is now:
% rd(mult(ld(mult(a,mult(b,c)),mult(mult(a,b),c)),c),ld(op_c,c)) = mult(op_c,
% ld(mult(a,
% mult(b,c)),
% mult(
% mult(a,b),c)))
%
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [58] mult(rd(A,mult(op_c,B)),op_c) -> rd(A,B)
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [59] mult(A,ld(op_c,B)) <-> mult(rd(A,op_c),B)
% Current number of equations to process: 55
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced : [60] mult(rd(A,op_c),B) <-> mult(A,ld(op_c,B))
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [61] rd(mult(A,B),mult(op_c,B)) -> rd(A,op_c)
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [62] ld(rd(A,op_c),mult(A,B)) -> mult(op_c,B)
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [63] mult(B,ld(mult(op_c,B),A)) -> ld(op_c,A)
% Rule [28] mult(op_c,mult(B,ld(mult(op_c,B),A))) -> A collapsed.
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [64] ld(mult(op_c,A),mult(op_c,B)) -> ld(A,B)
% Rule [29] ld(mult(op_c,A),mult(op_c,mult(A,B))) -> B collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [65] mult(op_c,ld(mult(A,op_c),B)) -> ld(A,B)
% Rule [30] mult(B,mult(op_c,ld(mult(B,op_c),A))) -> A collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [66] ld(mult(A,op_c),mult(A,B)) -> ld(op_c,B)
% Rule [31] ld(mult(A,op_c),mult(A,mult(op_c,B))) -> B collapsed.
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [67] rd(mult(A,mult(B,mult(C,op_c))),op_c) -> mult(A,mult(B,C))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [68] mult(rd(A,B),mult(B,mult(op_c,op_c))) -> mult(A,mult(op_c,op_c))
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [69] rd(mult(op_c,mult(op_c,mult(A,B))),B) -> mult(op_c,mult(op_c,A))
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [70] rd(mult(op_c,mult(A,mult(op_c,B))),B) -> mult(op_c,mult(A,op_c))
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [71] rd(mult(op_c,mult(A,op_c)),mult(B,op_c)) -> rd(mult(op_c,A),B)
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [72] rd(mult(A,mult(op_c,mult(op_c,B))),B) -> mult(A,mult(op_c,op_c))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [73] ld(A,mult(rd(B,A),mult(A,C))) -> mult(ld(A,B),C)
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [74] mult(op_c,mult(mult(ld(op_c,A),B),C)) -> mult(mult(A,B),C)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [75] mult(A,mult(ld(op_c,B),C)) <-> mult(rd(A,op_c),mult(B,C))
% Current number of equations to process: 116
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [76] mult(rd(A,op_c),mult(B,C)) <-> mult(A,mult(ld(op_c,B),C))
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [77] ld(A,mult(rd(mult(A,B),A),C)) -> mult(B,ld(A,C))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [78] mult(A,mult(B,ld(A,unit))) -> rd(mult(A,B),A)
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [79] mult(A,ld(rd(A,op_c),B)) -> mult(rd(A,rd(A,op_c)),B)
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [80] rd(mult(A,mult(B,ld(A,C))),C) -> rd(mult(A,B),A)
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 73
% Rule [44] ld(mult(A,B),mult(mult(A,C),B)) -> ld(B,mult(C,B)) is composed into
% [44] ld(mult(A,B),mult(mult(A,C),B)) -> mult(mult(rd(unit,B),C),B)
% Rule [40] mult(mult(rd(A,B),C),B) <-> mult(A,ld(B,mult(C,B))) is composed into
% [40] mult(mult(rd(A,B),C),B) <-> mult(A,mult(mult(rd(unit,B),C),B))
% Rule [10] mult(mult(A,B),C) <-> mult(mult(A,C),ld(C,mult(B,C))) is composed into
% [10] mult(mult(A,B),C) <-> mult(mult(A,C),mult(mult(rd(unit,C),B),C))
% New rule produced : [81] ld(A,mult(B,A)) -> mult(mult(rd(unit,A),B),A)
% Rule [12] mult(mult(A,C),ld(C,mult(B,C))) <-> mult(mult(A,B),C) collapsed.
% Rule [38] mult(A,ld(B,mult(C,B))) <-> mult(mult(rd(A,B),C),B) collapsed.
% Rule [42] mult(mult(A,B),ld(B,mult(op_c,B))) -> mult(A,mult(op_c,B))
% collapsed.
% Rule [45] rd(mult(mult(A,B),ld(B,mult(C,B))),B) -> mult(A,C) collapsed.
% Rule [46] mult(mult(rd(A,C),B),ld(B,mult(C,B))) -> mult(A,B) collapsed.
% Rule [48] rd(mult(mult(A,B),C),ld(C,mult(B,C))) -> mult(A,C) collapsed.
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 68
% Rule [76] mult(rd(A,op_c),mult(B,C)) <-> mult(A,mult(ld(op_c,B),C)) is composed into
% [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,mult(mult(mult(rd(unit,op_c),rd(B,op_c)),op_c),C))
% Rule [60] mult(rd(A,op_c),B) <-> mult(A,ld(op_c,B)) is composed into
% [60] mult(rd(A,op_c),B) <-> mult(A,mult(mult(rd(unit,op_c),rd(B,op_c)),op_c))
% Rule [57] mult(A,op_c) <-> rd(mult(A,B),ld(op_c,B)) is composed into
% [57] mult(A,op_c) <-> rd(mult(A,B),mult(mult(rd(unit,op_c),rd(B,op_c)),op_c))
% Rule [41] mult(mult(A,rd(C,B)),B) <-> mult(mult(A,B),ld(B,C)) is composed into
% [41]
% mult(mult(A,rd(C,B)),B) <-> mult(mult(A,B),mult(mult(rd(unit,B),rd(C,B)),B))
% Rule [37] mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,ld(A,C))) is composed into
% [37]
% mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,mult(mult(rd(unit,A),rd(C,A)),A)))
% Rule [13] asoc(A,B,C) -> ld(mult(A,mult(B,C)),mult(mult(A,B),C)) is composed into
% [13]
% asoc(A,B,C) ->
% mult(mult(rd(unit,mult(A,mult(B,C))),rd(mult(mult(A,B),C),mult(A,mult(B,C)))),
% mult(A,mult(B,C)))
% New rule produced : [82] ld(A,B) -> mult(mult(rd(unit,A),rd(B,A)),A)
% Rule [4] mult(A,ld(A,B)) -> B collapsed.
% Rule [6] ld(A,mult(A,B)) -> B collapsed.
% Rule [16] ld(unit,A) -> A collapsed.
% Rule [17] ld(A,A) -> unit collapsed.
% Rule [18] rd(A,ld(B,A)) -> B collapsed.
% Rule [19] ld(rd(A,B),A) -> B collapsed.
% Rule [27] ld(mult(A,B),mult(A,mult(B,op_c))) -> op_c collapsed.
% Rule [35] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C)) collapsed.
% Rule [36] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,B),A),C) collapsed.
% Rule [39] mult(mult(A,B),ld(B,C)) <-> mult(mult(A,rd(C,B)),B) collapsed.
% Rule [44] ld(mult(A,B),mult(mult(A,C),B)) -> mult(mult(rd(unit,B),C),B)
% collapsed.
% Rule [47] ld(rd(mult(A,B),A),mult(A,mult(B,C))) -> mult(A,C) collapsed.
% Rule [53] ld(rd(A,B),mult(A,op_c)) -> mult(B,op_c) collapsed.
% Rule [55] rd(mult(op_c,A),ld(B,A)) -> mult(op_c,B) collapsed.
% Rule [56] rd(mult(A,B),ld(op_c,B)) <-> mult(A,op_c) collapsed.
% Rule [59] mult(A,ld(op_c,B)) <-> mult(rd(A,op_c),B) collapsed.
% Rule [62] ld(rd(A,op_c),mult(A,B)) -> mult(op_c,B) collapsed.
% Rule [63] mult(B,ld(mult(op_c,B),A)) -> ld(op_c,A) collapsed.
% Rule [64] ld(mult(op_c,A),mult(op_c,B)) -> ld(A,B) collapsed.
% Rule [65] mult(op_c,ld(mult(A,op_c),B)) -> ld(A,B) collapsed.
% Rule [66] ld(mult(A,op_c),mult(A,B)) -> ld(op_c,B) collapsed.
% Rule [73] ld(A,mult(rd(B,A),mult(A,C))) -> mult(ld(A,B),C) collapsed.
% Rule [74] mult(op_c,mult(mult(ld(op_c,A),B),C)) -> mult(mult(A,B),C)
% collapsed.
% Rule [75] mult(A,mult(ld(op_c,B),C)) <-> mult(rd(A,op_c),mult(B,C))
% collapsed.
% Rule [77] ld(A,mult(rd(mult(A,B),A),C)) -> mult(B,ld(A,C)) collapsed.
% Rule [78] mult(A,mult(B,ld(A,unit))) -> rd(mult(A,B),A) collapsed.
% Rule [79] mult(A,ld(rd(A,op_c),B)) -> mult(rd(A,rd(A,op_c)),B) collapsed.
% Rule [80] rd(mult(A,mult(B,ld(A,C))),C) -> rd(mult(A,B),A) collapsed.
% Rule [81] ld(A,mult(B,A)) -> mult(mult(rd(unit,A),B),A) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% rd(mult(mult(mult(rd(unit,mult(a,mult(b,c))),c),mult(mult(rd(unit,c),
% rd(mult(mult(a,b),c),
% mult(a,mult(b,c)))),c)),
% mult(mult(rd(unit,c),mult(a,mult(b,c))),c)),mult(rd(unit,op_c),c)) =
% mult(op_c,mult(mult(rd(unit,mult(a,mult(b,c))),rd(mult(mult(a,b),c),mult(a,
% mult(b,c)))),
% mult(a,mult(b,c))))
%
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [83] mult(A,mult(mult(rd(unit,A),rd(B,A)),A)) -> B
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced : [84] mult(mult(rd(unit,A),rd(mult(A,B),A)),A) -> B
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [85] rd(A,mult(mult(rd(unit,B),rd(A,B)),B)) -> B
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [86]
% mult(mult(rd(unit,A),rd(mult(mult(rd(A,B),C),B),A)),A) ->
% mult(mult(rd(unit,B),C),B)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [87] mult(mult(A,rd(mult(B,C),B)),B) -> mult(mult(A,B),C)
% Rule [84] mult(mult(rd(unit,A),rd(mult(A,B),A)),A) -> B collapsed.
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [88] mult(B,mult(mult(rd(unit,B),A),B)) -> mult(A,B)
% Rule [83] mult(A,mult(mult(rd(unit,A),rd(B,A)),A)) -> B collapsed.
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [89] rd(mult(A,rd(B,C)),A) -> rd(mult(A,B),mult(A,C))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [90] rd(rd(mult(A,B),op_c),rd(B,op_c)) -> A
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [91] rd(A,mult(B,op_c)) <-> rd(rd(A,op_c),B)
% Current number of equations to process: 290
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [92] rd(rd(A,op_c),B) <-> rd(A,mult(B,op_c))
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [93] mult(rd(mult(op_c,A),op_c),B) -> mult(op_c,mult(rd(A,op_c),B))
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [94] mult(A,mult(op_c,mult(rd(unit,op_c),B))) -> mult(A,B)
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [95] rd(A,rd(B,op_c)) <-> rd(mult(A,op_c),B)
% Current number of equations to process: 303
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced : [96] rd(mult(A,op_c),B) <-> rd(A,rd(B,op_c))
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [97] mult(A,rd(B,mult(op_c,op_c))) -> rd(rd(mult(A,B),op_c),op_c)
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 53
% Rule [95] rd(A,rd(B,op_c)) <-> rd(mult(A,op_c),B) is composed into [95]
% rd(A,
% rd(B,op_c))
% <->
% rd(
% rd(A,
% rd(unit,op_c)),B)
% Rule [92] rd(rd(A,op_c),B) <-> rd(A,mult(B,op_c)) is composed into [92]
% rd(
% rd(A,op_c),B)
% <->
% rd(A,
% rd(B,
% rd(unit,op_c)))
% Rule [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,mult(mult(mult(rd(unit,op_c),rd(B,op_c)),op_c),C)) is composed into
% [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,mult(rd(mult(rd(unit,op_c),rd(B,op_c)),rd(unit,op_c)),C))
% Rule [72] rd(mult(A,mult(op_c,mult(op_c,B))),B) -> mult(A,mult(op_c,op_c)) is composed into
% [72] rd(mult(A,mult(op_c,mult(op_c,B))),B) -> mult(A,rd(op_c,rd(unit,op_c)))
% Rule [70] rd(mult(op_c,mult(A,mult(op_c,B))),B) -> mult(op_c,mult(A,op_c)) is composed into
% [70] rd(mult(op_c,mult(A,mult(op_c,B))),B) -> mult(op_c,rd(A,rd(unit,op_c)))
% Rule [60]
% mult(rd(A,op_c),B) <-> mult(A,mult(mult(rd(unit,op_c),rd(B,op_c)),op_c)) is composed into
% [60]
% mult(rd(A,op_c),B) <->
% mult(A,rd(mult(rd(unit,op_c),rd(B,op_c)),rd(unit,op_c)))
% Rule [52] mult(rd(A,rd(B,op_c)),B) -> mult(A,op_c) is composed into [52]
% mult(
% rd(A,
% rd(B,op_c)),B)
% ->
% rd(A,
% rd(unit,op_c))
% Rule [25] rd(mult(A,mult(op_c,B)),B) -> mult(A,op_c) is composed into
% [25] rd(mult(A,mult(op_c,B)),B) -> rd(A,rd(unit,op_c))
% New rule produced : [98] mult(A,op_c) -> rd(A,rd(unit,op_c))
% Rule [7] mult(mult(A,B),op_c) -> mult(A,mult(B,op_c)) collapsed.
% Rule [9] mult(mult(A,op_c),B) -> mult(A,mult(op_c,B)) collapsed.
% Rule [20] rd(mult(A,mult(B,op_c)),op_c) -> mult(A,B) collapsed.
% Rule [22] mult(rd(A,B),mult(B,op_c)) -> mult(A,op_c) collapsed.
% Rule [32] mult(mult(A,B),mult(op_c,op_c)) -> mult(A,mult(B,mult(op_c,op_c)))
% collapsed.
% Rule [34] mult(mult(A,mult(B,op_c)),C) -> mult(mult(A,B),mult(op_c,C))
% collapsed.
% Rule [50] mult(rd(A,mult(B,op_c)),B) -> rd(A,op_c) collapsed.
% Rule [51] rd(mult(A,op_c),mult(B,op_c)) -> rd(A,B) collapsed.
% Rule
% [57] mult(A,op_c) <-> rd(mult(A,B),mult(mult(rd(unit,op_c),rd(B,op_c)),op_c))
% collapsed.
% Rule [58] mult(rd(A,mult(op_c,B)),op_c) -> rd(A,B) collapsed.
% Rule [67] rd(mult(A,mult(B,mult(C,op_c))),op_c) -> mult(A,mult(B,C))
% collapsed.
% Rule [68] mult(rd(A,B),mult(B,mult(op_c,op_c))) -> mult(A,mult(op_c,op_c))
% collapsed.
% Rule [71] rd(mult(op_c,mult(A,op_c)),mult(B,op_c)) -> rd(mult(op_c,A),B)
% collapsed.
% Rule [91] rd(A,mult(B,op_c)) <-> rd(rd(A,op_c),B) collapsed.
% Rule [96] rd(mult(A,op_c),B) <-> rd(A,rd(B,op_c)) collapsed.
% Rule [97] mult(A,rd(B,mult(op_c,op_c))) -> rd(rd(mult(A,B),op_c),op_c)
% collapsed.
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 38
% Rule [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,mult(rd(mult(rd(unit,op_c),rd(B,op_c)),rd(unit,op_c)),C)) is composed into
% [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,mult(mult(rd(unit,op_c),rd(B,op_c)),mult(op_c,C)))
% New rule produced : [99] mult(rd(A,rd(unit,op_c)),B) -> mult(A,mult(op_c,B))
% Current number of equations to process: 326
% Current number of ordered equations: 1
% Current number of rules: 39
% Rule [72]
% rd(mult(A,mult(op_c,mult(op_c,B))),B) -> mult(A,rd(op_c,rd(unit,op_c))) is composed into
% [72] rd(mult(A,mult(op_c,mult(op_c,B))),B) -> rd(mult(A,op_c),rd(unit,op_c))
% Rule [70]
% rd(mult(op_c,mult(A,mult(op_c,B))),B) -> mult(op_c,rd(A,rd(unit,op_c))) is composed into
% [70] rd(mult(op_c,mult(A,mult(op_c,B))),B) -> rd(mult(op_c,A),rd(unit,op_c))
% Rule [60]
% mult(rd(A,op_c),B) <->
% mult(A,rd(mult(rd(unit,op_c),rd(B,op_c)),rd(unit,op_c))) is composed into
% [60]
% mult(rd(A,op_c),B) <->
% rd(mult(A,mult(rd(unit,op_c),rd(B,op_c))),rd(unit,op_c))
% New rule produced :
% [100] mult(A,rd(B,rd(unit,op_c))) -> rd(mult(A,B),rd(unit,op_c))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [101] rd(rd(mult(A,B),rd(unit,op_c)),op_c) -> mult(A,B)
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [102] mult(rd(A,rd(B,rd(unit,op_c))),B) -> rd(A,op_c)
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [103] rd(rd(A,mult(op_c,B)),rd(unit,op_c)) -> rd(A,B)
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [104]
% rd(A,rd(B,rd(op_c,rd(unit,op_c)))) <-> rd(rd(A,rd(unit,op_c)),rd(B,op_c))
% Current number of equations to process: 322
% Current number of ordered equations: 3
% Current number of rules: 44
% New rule produced :
% [105]
% rd(rd(A,op_c),rd(B,rd(unit,op_c))) <-> rd(rd(A,rd(op_c,rd(unit,op_c))),B)
% Current number of equations to process: 322
% Current number of ordered equations: 2
% Current number of rules: 45
% New rule produced :
% [106]
% rd(rd(A,rd(unit,op_c)),rd(B,op_c)) <-> rd(A,rd(B,rd(op_c,rd(unit,op_c))))
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [107]
% rd(rd(A,rd(op_c,rd(unit,op_c))),B) <-> rd(rd(A,op_c),rd(B,rd(unit,op_c)))
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [108] rd(rd(A,op_c),rd(unit,op_c)) -> A
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [109] rd(rd(mult(op_c,A),B),rd(A,B)) -> op_c
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [110] mult(op_c,mult(rd(unit,op_c),A)) -> A
% Rule [94] mult(A,mult(op_c,mult(rd(unit,op_c),B))) -> mult(A,B) collapsed.
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [111] rd(A,mult(op_c,A)) -> rd(unit,op_c)
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [112] rd(A,mult(op_c,B)) <-> rd(rd(A,B),op_c)
% Rule [111] rd(A,mult(op_c,A)) -> rd(unit,op_c) collapsed.
% Current number of equations to process: 349
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced : [113] rd(rd(A,B),op_c) <-> rd(A,mult(op_c,B))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [114] mult(rd(mult(op_c,A),B),C) -> mult(op_c,mult(rd(A,B),C))
% Rule [93] mult(rd(mult(op_c,A),op_c),B) -> mult(op_c,mult(rd(A,op_c),B))
% collapsed.
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [115] rd(mult(A,mult(rd(unit,op_c),B)),B) -> rd(A,op_c)
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [116] rd(mult(A,B),mult(rd(A,op_c),B)) -> rd(A,rd(A,op_c))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [117] mult(rd(A,rd(op_c,rd(unit,op_c))),mult(op_c,B)) -> mult(rd(A,op_c),B)
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [118] rd(rd(A,rd(unit,op_c)),rd(mult(B,C),rd(unit,op_c))) -> rd(A,mult(B,C))
% Current number of equations to process: 357
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [119] rd(rd(mult(A,B),rd(unit,op_c)),rd(C,rd(unit,op_c))) -> rd(mult(A,B),C)
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [120] mult(rd(A,op_c),rd(mult(op_c,B),C)) -> mult(A,rd(B,C))
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [121] mult(A,mult(rd(unit,op_c),B)) <-> mult(rd(A,op_c),B)
% Rule [110] mult(op_c,mult(rd(unit,op_c),A)) -> A collapsed.
% Current number of equations to process: 385
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [122] mult(rd(A,op_c),B) <-> mult(A,mult(rd(unit,op_c),B))
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [123] mult(op_c,mult(mult(rd(unit,op_c),A),B)) -> mult(A,B)
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [124] rd(mult(A,B),mult(mult(rd(unit,B),A),B)) -> B
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [125] rd(A,mult(rd(unit,op_c),A)) -> op_c
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [126] rd(mult(mult(A,B),C),B) -> mult(A,rd(mult(B,C),B))
% Current number of equations to process: 463
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [127] mult(rd(mult(A,B),mult(A,C)),A) -> mult(A,rd(B,C))
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [128] rd(rd(A,rd(unit,op_c)),op_c) -> A
% Rule [101] rd(rd(mult(A,B),rd(unit,op_c)),op_c) -> mult(A,B) collapsed.
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [129] rd(rd(A,op_c),rd(B,op_c)) -> rd(A,B)
% Rule [90] rd(rd(mult(A,B),op_c),rd(B,op_c)) -> A collapsed.
% Rule [108] rd(rd(A,op_c),rd(unit,op_c)) -> A collapsed.
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [130] rd(unit,A) <-> rd(op_c,rd(A,rd(unit,op_c)))
% Current number of equations to process: 530
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced : [131] rd(op_c,rd(A,rd(unit,op_c))) <-> rd(unit,A)
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [132] rd(A,rd(unit,rd(unit,op_c))) -> rd(A,op_c)
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [133] rd(unit,rd(unit,op_c)) -> op_c
% Rule [132] rd(A,rd(unit,rd(unit,op_c))) -> rd(A,op_c) collapsed.
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [134] mult(A,mult(rd(unit,A),mult(op_c,A))) -> mult(op_c,A)
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 66
% Rule [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,mult(mult(rd(unit,op_c),rd(B,op_c)),mult(op_c,C))) is composed into
% [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,mult(rd(unit,op_c),mult(rd(B,op_c),mult(op_c,C))))
% New rule produced :
% [135] mult(mult(rd(unit,op_c),A),B) -> mult(rd(unit,op_c),mult(A,B))
% Rule [123] mult(op_c,mult(mult(rd(unit,op_c),A),B)) -> mult(A,B) collapsed.
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [136] mult(rd(A,mult(op_c,B)),mult(op_c,C)) -> mult(rd(A,B),C)
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [137] rd(rd(op_c,A),rd(unit,A)) -> op_c
% Current number of equations to process: 669
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [138] rd(A,rd(mult(op_c,B),C)) <-> rd(rd(A,rd(B,C)),op_c)
% Current number of equations to process: 715
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced : [139] rd(rd(A,rd(B,C)),op_c) <-> rd(A,rd(mult(op_c,B),C))
% Current number of equations to process: 715
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [140] mult(A,rd(B,mult(op_c,C))) -> rd(mult(A,rd(B,C)),op_c)
% Current number of equations to process: 714
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [141] mult(op_c,mult(rd(unit,A),B)) -> mult(rd(op_c,A),B)
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [142] rd(rd(rd(op_c,rd(unit,op_c)),A),rd(op_c,A)) -> op_c
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [143] rd(rd(A,mult(rd(unit,op_c),B)),op_c) -> rd(A,B)
% Current number of equations to process: 733
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [144] rd(mult(rd(unit,op_c),mult(A,B)),B) -> mult(rd(unit,op_c),A)
% Current number of equations to process: 735
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [145] mult(rd(A,op_c),rd(op_c,B)) -> mult(A,rd(unit,B))
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [146] rd(A,mult(rd(unit,op_c),B)) <-> rd(rd(A,B),rd(unit,op_c))
% Rule [125] rd(A,mult(rd(unit,op_c),A)) -> op_c collapsed.
% Current number of equations to process: 863
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [147] rd(rd(A,B),rd(unit,op_c)) <-> rd(A,mult(rd(unit,op_c),B))
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [148] rd(mult(rd(A,op_c),B),mult(rd(unit,op_c),B)) -> A
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [149] rd(mult(A,B),mult(rd(unit,op_c),B)) -> rd(A,rd(unit,op_c))
% Rule [148] rd(mult(rd(A,op_c),B),mult(rd(unit,op_c),B)) -> A collapsed.
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [150] rd(rd(A,B),rd(mult(rd(unit,op_c),A),B)) -> op_c
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [151] rd(mult(op_c,A),mult(rd(unit,A),mult(op_c,A))) -> A
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [152] mult(rd(A,C),rd(mult(C,B),C)) -> rd(mult(A,B),C)
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [153] mult(rd(A,mult(A,B)),A) -> mult(A,rd(unit,B))
% Current number of equations to process: 963
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [154] rd(unit,rd(A,op_c)) -> rd(op_c,A)
% Rule [133] rd(unit,rd(unit,op_c)) -> op_c collapsed.
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 82
% Rule [60]
% mult(rd(A,op_c),B) <->
% rd(mult(A,mult(rd(unit,op_c),rd(B,op_c))),rd(unit,op_c)) is composed into
% [60]
% mult(rd(A,op_c),B) <->
% rd(mult(A,rd(mult(rd(unit,op_c),B),op_c)),rd(unit,op_c))
% New rule produced :
% [155] mult(rd(unit,op_c),rd(A,B)) -> rd(mult(rd(unit,op_c),A),B)
% Current number of equations to process: 1008
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [156] rd(unit,rd(A,mult(op_c,B))) -> rd(op_c,rd(A,B))
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [157] rd(rd(A,op_c),rd(B,mult(op_c,C))) -> rd(A,rd(B,C))
% Current number of equations to process: 1041
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced : [158] rd(rd(A,mult(op_c,B)),rd(C,op_c)) -> rd(rd(A,B),C)
% Rule [103] rd(rd(A,mult(op_c,B)),rd(unit,op_c)) -> rd(A,B) collapsed.
% Current number of equations to process: 1041
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [159] rd(unit,rd(A,rd(op_c,rd(unit,op_c)))) -> rd(op_c,rd(A,op_c))
% Current number of equations to process: 1040
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [160] rd(mult(op_c,A),mult(A,mult(op_c,A))) -> rd(A,mult(A,A))
% Current number of equations to process: 1039
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [161] rd(rd(op_c,rd(A,op_c)),rd(op_c,A)) -> op_c
% Current number of equations to process: 1092
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [162] rd(rd(A,rd(unit,B)),op_c) -> rd(A,rd(op_c,B))
% Rule [128] rd(rd(A,rd(unit,op_c)),op_c) -> A collapsed.
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [163] rd(rd(op_c,A),rd(op_c,rd(A,rd(unit,op_c)))) -> op_c
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [164] rd(rd(unit,A),rd(unit,rd(A,rd(unit,op_c)))) -> op_c
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [165] rd(rd(A,B),rd(mult(op_c,A),B)) -> rd(unit,op_c)
% Current number of equations to process: 1146
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [166] mult(rd(op_c,rd(A,op_c)),B) -> mult(op_c,mult(rd(op_c,A),B))
% Current number of equations to process: 1230
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [167] rd(mult(rd(op_c,A),B),mult(rd(unit,A),B)) -> op_c
% Current number of equations to process: 1251
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [168] rd(mult(A,rd(unit,B)),rd(op_c,B)) -> rd(A,op_c)
% Current number of equations to process: 1320
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [169] rd(A,mult(rd(unit,A),mult(op_c,A))) <-> mult(rd(unit,op_c),A)
% Current number of equations to process: 1342
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [170] mult(rd(unit,op_c),A) <-> rd(A,mult(rd(unit,A),mult(op_c,A)))
% The conjecture has been reduced.
% Conjecture is now:
% rd(mult(mult(mult(rd(unit,mult(a,mult(b,c))),c),mult(mult(rd(unit,c),
% rd(mult(mult(a,b),c),
% mult(a,mult(b,c)))),c)),
% mult(mult(rd(unit,c),mult(a,mult(b,c))),c)),rd(c,mult(rd(unit,c),mult(op_c,c)))) =
% mult(op_c,mult(mult(rd(unit,mult(a,mult(b,c))),rd(mult(mult(a,b),c),mult(a,
% mult(b,c)))),
% mult(a,mult(b,c))))
%
% Current number of equations to process: 1342
% Current number of ordered equations: 0
% Current number of rules: 96
% Rule [13]
% asoc(A,B,C) ->
% mult(mult(rd(unit,mult(A,mult(B,C))),rd(mult(mult(A,B),C),mult(A,
% mult(B,C)))),
% mult(A,mult(B,C))) is composed into [13]
% asoc(A,B,C) ->
% mult(mult(rd(unit,op_c),mult(
% rd(op_c,
% mult(A,
% mult(B,C))),
% rd(mult(
% mult(A,B),C),
% mult(A,
% mult(B,C))))),
% mult(A,mult(B,C)))
% New rule produced :
% [171] mult(rd(unit,A),B) <-> mult(rd(unit,op_c),mult(rd(op_c,A),B))
% The conjecture has been reduced.
% Conjecture is now:
% rd(mult(rd(unit,op_c),mult(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(
% mult(
% rd(unit,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c)))),c)),
% mult(mult(rd(unit,c),mult(a,mult(b,c))),c))),rd(c,
% mult(
% rd(unit,c),
% mult(op_c,c)))) =
% mult(mult(rd(op_c,mult(a,mult(b,c))),rd(mult(mult(a,b),c),mult(a,mult(b,c)))),
% mult(a,mult(b,c)))
%
% Current number of equations to process: 1341
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [172] mult(rd(unit,op_c),mult(rd(op_c,A),B)) <-> mult(rd(unit,A),B)
% Current number of equations to process: 1341
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [173] rd(rd(A,rd(op_c,B)),rd(unit,op_c)) -> rd(A,rd(unit,B))
% Current number of equations to process: 1363
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [174] rd(unit,rd(A,B)) <-> rd(op_c,rd(A,mult(rd(unit,op_c),B)))
% Current number of equations to process: 1392
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [175] rd(op_c,rd(A,mult(rd(unit,op_c),B))) <-> rd(unit,rd(A,B))
% Current number of equations to process: 1392
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [176] rd(rd(op_c,A),rd(rd(unit,op_c),A)) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 1391
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [177] rd(rd(unit,A),rd(rd(unit,op_c),A)) -> op_c
% Current number of equations to process: 1417
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [178] rd(mult(A,rd(op_c,B)),rd(unit,B)) -> rd(A,rd(unit,op_c))
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [179] rd(rd(rd(op_c,A),B),rd(rd(unit,A),B)) -> op_c
% Current number of equations to process: 1444
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [180] rd(A,rd(A,mult(rd(unit,A),mult(op_c,A)))) -> op_c
% Current number of equations to process: 1443
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [181] rd(rd(A,rd(op_c,B)),op_c) -> rd(A,rd(op_c,rd(B,op_c)))
% Current number of equations to process: 1584
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [182] rd(rd(unit,A),rd(op_c,A)) -> rd(unit,op_c)
% Current number of equations to process: 1730
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [183] rd(unit,rd(A,rd(op_c,B))) <-> rd(op_c,rd(A,rd(unit,B)))
% Current number of equations to process: 1750
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [184] rd(op_c,rd(A,rd(unit,B))) <-> rd(unit,rd(A,rd(op_c,B)))
% Current number of equations to process: 1750
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [185] rd(rd(op_c,rd(A,op_c)),rd(unit,A)) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 1755
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [186] rd(rd(unit,A),rd(op_c,rd(A,rd(unit,op_c)))) -> unit
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [187] rd(rd(op_c,A),rd(op_c,rd(A,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 2225
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [188] rd(rd(A,rd(unit,op_c)),rd(B,rd(unit,op_c))) -> rd(A,B)
% Rule
% [118] rd(rd(A,rd(unit,op_c)),rd(mult(B,C),rd(unit,op_c))) -> rd(A,mult(B,C))
% collapsed.
% Rule
% [119] rd(rd(mult(A,B),rd(unit,op_c)),rd(C,rd(unit,op_c))) -> rd(mult(A,B),C)
% collapsed.
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [189]
% rd(mult(A,rd(B,rd(unit,rd(op_c,rd(unit,op_c))))),rd(op_c,rd(unit,op_c))) ->
% mult(A,B)
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [190]
% mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),rd(mult(A,rd(B,rd(unit,
% rd(op_c,
% rd(unit,op_c))))),
% mult(A,B))),mult(A,B))) ->
% rd(op_c,rd(unit,op_c))
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [191]
% mult(rd(C,A),mult(A,mult(rd(unit,op_c),mult(mult(rd(op_c,mult(mult(rd(unit,A),
% rd(C,A)),A)),
% rd(B,mult(mult(rd(unit,A),
% rd(C,A)),A))),mult(
% mult(
% rd(unit,A),
% rd(C,A)),A)))))
% -> mult(A,B)
% Current number of equations to process: 2367
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [192] rd(mult(op_c,mult(rd(A,op_c),B)),mult(rd(unit,op_c),B)) -> mult(op_c,A)
% Current number of equations to process: 2365
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [193]
% rd(mult(rd(rd(A,rd(unit,op_c)),A),B),mult(mult(rd(unit,A),rd(B,A)),A)) ->
% rd(A,rd(unit,op_c))
% Current number of equations to process: 2364
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [194]
% rd(mult(mult(A,rd(B,C)),C),mult(mult(rd(unit,C),rd(B,C)),C)) -> mult(A,C)
% Current number of equations to process: 2363
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [195] mult(A,mult(rd(unit,B),mult(op_c,B))) <-> mult(rd(A,B),mult(op_c,B))
% Current number of equations to process: 2361
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [196] mult(rd(A,B),mult(op_c,B)) <-> mult(A,mult(rd(unit,B),mult(op_c,B)))
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [197]
% mult(A,rd(B,rd(op_c,rd(unit,op_c)))) -> rd(mult(A,B),rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2357
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [198]
% rd(mult(rd(A,rd(B,rd(op_c,rd(unit,op_c)))),B),op_c) -> rd(A,rd(unit,op_c))
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [199]
% mult(rd(A,rd(B,rd(unit,op_c))),rd(B,rd(unit,rd(op_c,rd(unit,op_c))))) ->
% rd(A,rd(unit,op_c))
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [200] rd(mult(A,B),mult(op_c,mult(op_c,B))) -> rd(A,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [201] rd(rd(A,rd(B,op_c)),op_c) <-> rd(rd(A,rd(unit,op_c)),mult(op_c,B))
% Current number of equations to process: 2349
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [202] rd(rd(A,rd(unit,op_c)),mult(op_c,B)) <-> rd(rd(A,rd(B,op_c)),op_c)
% Current number of equations to process: 2349
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [203] rd(mult(A,rd(B,C)),rd(mult(op_c,B),C)) -> rd(A,op_c)
% Current number of equations to process: 2348
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [204] mult(mult(rd(A,rd(mult(B,C),B)),B),C) -> mult(A,B)
% Current number of equations to process: 2347
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [205] rd(mult(A,B),mult(B,B)) <-> rd(mult(B,mult(rd(unit,B),A)),B)
% Current number of equations to process: 2346
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [206] rd(mult(B,mult(rd(unit,B),A)),B) <-> rd(mult(A,B),mult(B,B))
% Current number of equations to process: 2346
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [207] rd(rd(A,op_c),mult(op_c,B)) <-> rd(rd(A,rd(B,rd(unit,op_c))),op_c)
% Current number of equations to process: 2338
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [208] rd(rd(A,rd(B,rd(unit,op_c))),op_c) <-> rd(rd(A,op_c),mult(op_c,B))
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [209] rd(A,rd(mult(op_c,B),rd(unit,op_c))) <-> rd(rd(rd(A,op_c),B),op_c)
% Current number of equations to process: 2336
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [210] rd(rd(rd(A,op_c),B),op_c) <-> rd(A,rd(mult(op_c,B),rd(unit,op_c)))
% Current number of equations to process: 2336
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [211] rd(rd(A,mult(op_c,B)),op_c) -> rd(rd(A,B),rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2335
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [212] rd(A,rd(B,mult(op_c,C))) <-> rd(rd(A,rd(unit,op_c)),rd(B,C))
% Current number of equations to process: 2333
% Current number of ordered equations: 3
% Current number of rules: 136
% New rule produced :
% [213] rd(A,rd(mult(op_c,B),op_c)) <-> rd(rd(rd(A,rd(unit,op_c)),B),op_c)
% Current number of equations to process: 2333
% Current number of ordered equations: 2
% Current number of rules: 137
% New rule produced :
% [214] rd(rd(A,rd(unit,op_c)),rd(B,C)) <-> rd(A,rd(B,mult(op_c,C)))
% Current number of equations to process: 2333
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [215] rd(rd(rd(A,rd(unit,op_c)),B),op_c) <-> rd(A,rd(mult(op_c,B),op_c))
% Current number of equations to process: 2333
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [216] mult(rd(A,mult(op_c,B)),C) -> mult(rd(A,B),mult(rd(unit,op_c),C))
% Rule [136] mult(rd(A,mult(op_c,B)),mult(op_c,C)) -> mult(rd(A,B),C)
% collapsed.
% Current number of equations to process: 2331
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [217] rd(rd(A,B),rd(C,rd(unit,op_c))) <-> rd(rd(A,mult(op_c,B)),C)
% Current number of equations to process: 2329
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [218] rd(rd(A,mult(op_c,B)),C) <-> rd(rd(A,B),rd(C,rd(unit,op_c)))
% Rule [211] rd(rd(A,mult(op_c,B)),op_c) -> rd(rd(A,B),rd(op_c,rd(unit,op_c)))
% collapsed.
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [219] rd(A,mult(op_c,mult(op_c,B))) <-> rd(rd(A,B),rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2328
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [220] rd(rd(A,B),rd(op_c,rd(unit,op_c))) <-> rd(A,mult(op_c,mult(op_c,B)))
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [221] mult(rd(rd(op_c,rd(unit,op_c)),A),B) -> mult(op_c,mult(rd(op_c,A),B))
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [222] mult(rd(A,rd(A,op_c)),mult(rd(A,op_c),B)) -> mult(A,B)
% Current number of equations to process: 2326
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [223] rd(mult(rd(A,op_c),B),mult(A,B)) -> rd(A,rd(A,rd(unit,op_c)))
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [224] mult(A,rd(mult(rd(unit,op_c),B),C)) <-> mult(rd(A,op_c),rd(B,C))
% Current number of equations to process: 2316
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [225] mult(rd(A,op_c),rd(B,C)) <-> mult(A,rd(mult(rd(unit,op_c),B),C))
% Rule [155] mult(rd(unit,op_c),rd(A,B)) -> rd(mult(rd(unit,op_c),A),B)
% collapsed.
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [226] rd(mult(A,B),mult(mult(rd(op_c,B),A),B)) -> rd(B,op_c)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [227] rd(mult(op_c,A),mult(rd(op_c,A),mult(op_c,A))) -> rd(A,op_c)
% Current number of equations to process: 2308
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [228] mult(rd(A,mult(rd(unit,op_c),B)),C) -> mult(rd(A,B),mult(op_c,C))
% Current number of equations to process: 2306
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [229] mult(A,mult(rd(unit,B),C)) <-> mult(rd(A,op_c),mult(rd(op_c,B),C))
% Rule [141] mult(op_c,mult(rd(unit,A),B)) -> mult(rd(op_c,A),B) collapsed.
% Current number of equations to process: 2301
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [230] mult(op_c,mult(mult(rd(unit,A),B),C)) -> mult(mult(rd(op_c,A),B),C)
% Current number of equations to process: 2300
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [231] rd(rd(A,mult(rd(unit,B),C)),op_c) -> rd(A,mult(rd(op_c,B),C))
% Rule [143] rd(rd(A,mult(rd(unit,op_c),B)),op_c) -> rd(A,B) collapsed.
% Current number of equations to process: 2299
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [232] rd(rd(A,mult(rd(unit,op_c),B)),C) <-> rd(rd(A,B),rd(C,op_c))
% Current number of equations to process: 2296
% Current number of ordered equations: 3
% Current number of rules: 151
% New rule produced :
% [233] rd(A,rd(B,mult(rd(unit,op_c),C))) <-> rd(rd(A,op_c),rd(B,C))
% Current number of equations to process: 2296
% Current number of ordered equations: 2
% Current number of rules: 152
% New rule produced :
% [234] rd(rd(A,B),rd(C,op_c)) <-> rd(rd(A,mult(rd(unit,op_c),B)),C)
% Current number of equations to process: 2296
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [235] rd(rd(A,op_c),rd(B,C)) <-> rd(A,rd(B,mult(rd(unit,op_c),C)))
% Current number of equations to process: 2296
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [236] rd(A,mult(rd(A,op_c),B)) -> rd(mult(A,rd(unit,B)),rd(A,op_c))
% Current number of equations to process: 2295
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [237] mult(rd(A,op_c),rd(unit,B)) -> mult(A,rd(unit,rd(B,rd(unit,op_c))))
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [238] rd(rd(mult(A,B),C),rd(mult(C,B),C)) -> rd(A,C)
% Current number of equations to process: 2290
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [239] mult(rd(rd(A,B),A),rd(A,B)) -> mult(rd(A,B),rd(unit,B))
% Current number of equations to process: 2289
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [240] rd(mult(op_c,mult(A,rd(unit,B))),A) -> rd(mult(op_c,A),mult(A,B))
% Current number of equations to process: 2288
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [241] rd(mult(A,rd(unit,B)),mult(op_c,A)) -> rd(rd(A,mult(A,B)),op_c)
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [242] rd(unit,rd(A,rd(mult(op_c,B),C))) -> rd(op_c,rd(A,rd(B,C)))
% Current number of equations to process: 2286
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [243] rd(rd(mult(rd(unit,op_c),A),B),rd(A,B)) -> rd(unit,op_c)
% Current number of equations to process: 2285
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [244] rd(rd(unit,op_c),rd(A,rd(op_c,rd(unit,op_c)))) -> rd(op_c,A)
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [245] mult(rd(A,mult(A,A)),mult(A,mult(op_c,A))) -> mult(op_c,A)
% Current number of equations to process: 2278
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [246] rd(A,mult(A,mult(op_c,A))) <-> rd(mult(rd(unit,op_c),A),mult(A,A))
% Current number of equations to process: 2277
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [247] rd(mult(rd(unit,op_c),A),mult(A,A)) <-> rd(A,mult(A,mult(op_c,A)))
% Current number of equations to process: 2277
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [248] rd(mult(A,rd(B,rd(unit,C))),op_c) -> mult(A,rd(B,rd(op_c,C)))
% Current number of equations to process: 2276
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [249] mult(rd(A,rd(unit,B)),C) -> mult(rd(A,rd(op_c,B)),mult(op_c,C))
% Rule [99] mult(rd(A,rd(unit,op_c)),B) -> mult(A,mult(op_c,B)) collapsed.
% Current number of equations to process: 2275
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [250] rd(rd(A,rd(rd(unit,B),op_c)),op_c) -> rd(A,rd(rd(op_c,B),op_c))
% Current number of equations to process: 2274
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [251] rd(A,rd(B,rd(unit,C))) <-> rd(rd(A,op_c),rd(B,rd(op_c,C)))
% Current number of equations to process: 2272
% Current number of ordered equations: 3
% Current number of rules: 169
% New rule produced :
% [252] rd(rd(A,op_c),rd(B,rd(op_c,C))) <-> rd(A,rd(B,rd(unit,C)))
% Current number of equations to process: 2272
% Current number of ordered equations: 2
% Current number of rules: 170
% New rule produced :
% [253] rd(rd(A,rd(unit,B)),C) <-> rd(rd(A,rd(op_c,B)),rd(C,op_c))
% Rule [162] rd(rd(A,rd(unit,B)),op_c) -> rd(A,rd(op_c,B)) collapsed.
% Rule
% [193]
% rd(mult(rd(rd(A,rd(unit,op_c)),A),B),mult(mult(rd(unit,A),rd(B,A)),A)) ->
% rd(A,rd(unit,op_c)) collapsed.
% Current number of equations to process: 2273
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [254] rd(rd(op_c,A),rd(rd(op_c,rd(unit,op_c)),A)) -> rd(unit,op_c)
% Current number of equations to process: 2271
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [255] rd(rd(A,mult(rd(unit,A),mult(op_c,A))),A) -> rd(unit,op_c)
% Current number of equations to process: 2269
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [256] rd(mult(A,rd(op_c,B)),rd(op_c,rd(B,op_c))) -> rd(A,op_c)
% Current number of equations to process: 2266
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [257] rd(rd(rd(unit,op_c),A),rd(op_c,A)) -> rd(unit,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2265
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [258] rd(A,mult(rd(op_c,A),mult(op_c,A))) <-> rd(mult(rd(unit,op_c),A),op_c)
% Current number of equations to process: 2264
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [259] rd(mult(rd(unit,op_c),A),op_c) <-> rd(A,mult(rd(op_c,A),mult(op_c,A)))
% Current number of equations to process: 2264
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [260] rd(mult(rd(unit,A),B),mult(rd(op_c,A),B)) -> rd(unit,op_c)
% Current number of equations to process: 2261
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [261] rd(unit,rd(A,rd(op_c,rd(B,op_c)))) -> rd(op_c,rd(A,rd(op_c,B)))
% Rule [159] rd(unit,rd(A,rd(op_c,rd(unit,op_c)))) -> rd(op_c,rd(A,op_c))
% collapsed.
% Current number of equations to process: 2250
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [262] rd(rd(unit,rd(A,rd(unit,op_c))),rd(unit,A)) -> rd(unit,op_c)
% Current number of equations to process: 2249
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [263] rd(rd(op_c,rd(A,rd(unit,op_c))),rd(op_c,A)) -> rd(unit,op_c)
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [264] rd(rd(unit,A),rd(op_c,rd(A,op_c))) -> rd(unit,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2245
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [265] mult(rd(A,rd(mult(B,C),B)),B) -> rd(mult(A,B),C)
% Rule [204] mult(mult(rd(A,rd(mult(B,C),B)),B),C) -> mult(A,B) collapsed.
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [266] rd(mult(A,A),mult(A,mult(op_c,A))) -> rd(A,rd(A,rd(unit,op_c)))
% Current number of equations to process: 3001
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [267] mult(rd(mult(A,B),mult(B,B)),B) -> mult(B,mult(rd(unit,B),A))
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [268] rd(mult(op_c,A),mult(A,A)) <-> rd(mult(A,rd(unit,A)),rd(A,op_c))
% Current number of equations to process: 3022
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [269] rd(mult(A,rd(unit,A)),rd(A,op_c)) <-> rd(mult(op_c,A),mult(A,A))
% Current number of equations to process: 3022
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [270] mult(rd(A,rd(A,op_c)),mult(A,B)) -> mult(A,mult(op_c,B))
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [271] rd(mult(A,B),mult(A,mult(op_c,B))) -> rd(A,rd(A,rd(unit,op_c)))
% Rule [266] rd(mult(A,A),mult(A,mult(op_c,A))) -> rd(A,rd(A,rd(unit,op_c)))
% collapsed.
% Current number of equations to process: 3655
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [272] mult(rd(A,op_c),rd(rd(op_c,B),C)) -> mult(A,rd(rd(unit,B),C))
% Current number of equations to process: 3753
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [273] rd(A,mult(mult(rd(op_c,B),rd(A,B)),B)) -> rd(B,op_c)
% Current number of equations to process: 3844
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [274] mult(rd(A,op_c),mult(mult(rd(op_c,A),B),A)) -> mult(B,A)
% Current number of equations to process: 3844
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [275] mult(rd(A,op_c),mult(rd(op_c,A),mult(op_c,A))) -> mult(op_c,A)
% Current number of equations to process: 3888
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [276] rd(rd(A,B),rd(mult(B,C),B)) <-> rd(rd(A,C),B)
% Current number of equations to process: 4634
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced : [277] rd(rd(A,C),B) <-> rd(rd(A,B),rd(mult(B,C),B))
% Current number of equations to process: 4634
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [278] rd(mult(op_c,A),rd(mult(B,mult(A,B)),B)) -> rd(op_c,B)
% Current number of equations to process: 4638
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [279] rd(rd(op_c,rd(unit,A)),rd(unit,op_c)) <-> rd(op_c,rd(rd(unit,op_c),A))
% Current number of equations to process: 4843
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [280] rd(op_c,rd(rd(unit,op_c),A)) <-> rd(rd(op_c,rd(unit,A)),rd(unit,op_c))
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [281] rd(rd(rd(unit,op_c),A),rd(unit,A)) -> rd(unit,op_c)
% Current number of equations to process: 4986
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [282] rd(rd(rd(unit,A),B),rd(rd(op_c,A),B)) -> rd(unit,op_c)
% Current number of equations to process: 1450
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [283] rd(rd(op_c,rd(A,rd(unit,op_c))),rd(unit,A)) -> unit
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [284] rd(A,rd(mult(B,C),B)) <-> rd(rd(mult(A,B),C),B)
% Current number of equations to process: 2410
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced : [285] rd(rd(mult(A,B),C),B) <-> rd(A,rd(mult(B,C),B))
% Current number of equations to process: 2410
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [286] mult(rd(A,rd(B,rd(B,op_c))),B) -> rd(mult(A,B),op_c)
% Current number of equations to process: 2412
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [287] mult(rd(A,mult(B,B)),B) -> mult(B,mult(rd(unit,B),rd(A,B)))
% Rule [267] mult(rd(mult(A,B),mult(B,B)),B) -> mult(B,mult(rd(unit,B),A))
% collapsed.
% Current number of equations to process: 2510
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [288] rd(mult(op_c,mult(A,rd(unit,A))),op_c) -> mult(A,rd(unit,A))
% Current number of equations to process: 2551
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [289] mult(op_c,mult(A,rd(unit,A))) -> rd(mult(A,rd(unit,A)),rd(unit,op_c))
% Rule [288] rd(mult(op_c,mult(A,rd(unit,A))),op_c) -> mult(A,rd(unit,A))
% collapsed.
% Current number of equations to process: 2551
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [290] rd(unit,rd(mult(A,B),A)) -> rd(rd(A,B),A)
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [291] rd(rd(A,B),rd(B,rd(B,op_c))) <-> rd(rd(A,op_c),B)
% Current number of equations to process: 3081
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced : [292] rd(rd(A,op_c),B) <-> rd(rd(A,B),rd(B,rd(B,op_c)))
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 203
% Rule [292] rd(rd(A,op_c),B) <-> rd(rd(A,B),rd(B,rd(B,op_c))) is composed into
% [292] rd(rd(A,op_c),B) <-> rd(A,rd(B,rd(unit,op_c)))
% New rule produced :
% [293] rd(rd(A,B),rd(B,rd(B,op_c))) -> rd(A,rd(B,rd(unit,op_c)))
% Rule [291] rd(rd(A,B),rd(B,rd(B,op_c))) <-> rd(rd(A,op_c),B) collapsed.
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [294] rd(rd(A,rd(B,op_c)),rd(B,rd(B,op_c))) -> rd(A,B)
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [295] rd(rd(rd(op_c,B),A),rd(A,mult(A,B))) -> rd(op_c,A)
% Current number of equations to process: 3466
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [296] rd(rd(rd(unit,B),A),rd(A,mult(A,B))) -> rd(unit,A)
% Current number of equations to process: 3465
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [297] rd(rd(op_c,rd(rd(unit,op_c),A)),op_c) -> rd(op_c,rd(unit,A))
% Current number of equations to process: 3499
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [298] rd(op_c,rd(op_c,rd(rd(unit,op_c),A))) -> rd(unit,rd(op_c,rd(unit,A)))
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [299] rd(mult(A,B),rd(B,rd(unit,op_c))) -> rd(A,rd(B,rd(B,op_c)))
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [300] rd(mult(mult(A,rd(B,rd(B,op_c))),B),op_c) -> mult(A,B)
% Current number of equations to process: 4108
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [301] mult(op_c,A) <-> rd(mult(A,rd(unit,A)),rd(rd(unit,A),op_c))
% The conjecture has been reduced.
% Conjecture is now:
% rd(mult(rd(unit,op_c),mult(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(
% mult(
% rd(unit,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c)))),c)),
% mult(mult(rd(unit,c),mult(a,mult(b,c))),c))),rd(c,
% mult(
% rd(unit,c),
% rd(
% mult(c,
% rd(unit,c)),
% rd(
% rd(unit,c),op_c))))) =
% mult(mult(rd(op_c,mult(a,mult(b,c))),rd(mult(mult(a,b),c),mult(a,mult(b,c)))),
% mult(a,mult(b,c)))
%
% Current number of equations to process: 4181
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [302] rd(mult(A,rd(unit,A)),rd(rd(unit,A),op_c)) <-> mult(op_c,A)
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [303] rd(A,rd(A,rd(unit,op_c))) <-> rd(unit,rd(A,rd(A,op_c)))
% Current number of equations to process: 4253
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [304] rd(unit,rd(A,rd(A,op_c))) <-> rd(A,rd(A,rd(unit,op_c)))
% Current number of equations to process: 4253
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [305] rd(unit,rd(mult(A,B),mult(A,C))) <-> rd(rd(A,rd(B,C)),A)
% Current number of equations to process: 4427
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [306] rd(rd(A,rd(B,C)),A) <-> rd(unit,rd(mult(A,B),mult(A,C)))
% Current number of equations to process: 4427
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [307] rd(unit,rd(mult(A,B),rd(A,op_c))) -> rd(rd(rd(A,op_c),B),A)
% Current number of equations to process: 4426
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [308] rd(rd(rd(A,B),B),rd(A,B)) -> rd(unit,rd(A,rd(A,B)))
% Current number of equations to process: 4425
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [309] rd(rd(B,mult(mult(rd(unit,B),A),B)),B) -> rd(unit,A)
% Current number of equations to process: 4424
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [310] rd(unit,rd(mult(rd(A,op_c),B),A)) -> rd(rd(A,B),rd(A,op_c))
% Current number of equations to process: 4423
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [311] rd(rd(op_c,mult(A,rd(unit,A))),op_c) -> rd(unit,mult(A,rd(unit,A)))
% Current number of equations to process: 4422
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [312] mult(rd(A,B),rd(B,rd(B,op_c))) -> rd(A,rd(B,op_c))
% Current number of equations to process: 4542
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [313] mult(rd(op_c,A),rd(A,mult(A,B))) -> rd(rd(op_c,B),A)
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [314] rd(rd(unit,A),rd(A,rd(A,rd(unit,op_c)))) -> rd(op_c,A)
% Current number of equations to process: 4617
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [315] mult(rd(unit,A),rd(A,mult(A,B))) -> rd(rd(unit,B),A)
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [316] rd(rd(unit,rd(rd(unit,op_c),A)),op_c) -> rd(unit,rd(unit,A))
% Current number of equations to process: 4810
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [317] rd(op_c,rd(unit,rd(rd(unit,op_c),A))) -> rd(unit,rd(unit,rd(unit,A)))
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [318] mult(mult(A,rd(B,rd(B,op_c))),B) -> rd(mult(A,B),rd(unit,op_c))
% Rule [300] rd(mult(mult(A,rd(B,rd(B,op_c))),B),op_c) -> mult(A,B) collapsed.
% Current number of equations to process: 2331
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [319] rd(unit,rd(A,mult(A,B))) -> rd(rd(A,rd(op_c,B)),rd(A,op_c))
% Current number of equations to process: 2581
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [320] rd(unit,rd(A,rd(A,rd(unit,op_c)))) -> rd(A,rd(A,op_c))
% Current number of equations to process: 2671
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [321] rd(rd(A,B),rd(A,rd(B,op_c))) -> rd(unit,rd(A,rd(A,op_c)))
% Rule [187] rd(rd(op_c,A),rd(op_c,rd(A,op_c))) -> rd(unit,op_c) collapsed.
% Current number of equations to process: 2981
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [322] rd(rd(A,rd(A,op_c)),A) -> rd(unit,rd(A,rd(A,rd(A,op_c))))
% Current number of equations to process: 2981
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [323] rd(B,mult(mult(rd(unit,B),A),B)) -> mult(rd(unit,A),B)
% Rule [309] rd(rd(B,mult(mult(rd(unit,B),A),B)),B) -> rd(unit,A) collapsed.
% Current number of equations to process: 3268
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [324] rd(rd(rd(op_c,A),A),rd(unit,A)) -> rd(op_c,rd(unit,rd(unit,A)))
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [325] rd(rd(op_c,rd(rd(unit,A),B)),op_c) -> rd(op_c,rd(rd(op_c,A),B))
% Rule [297] rd(rd(op_c,rd(rd(unit,op_c),A)),op_c) -> rd(op_c,rd(unit,A))
% collapsed.
% Current number of equations to process: 3274
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [326] mult(A,rd(B,rd(B,op_c))) -> rd(mult(A,B),rd(B,op_c))
% Rule [312] mult(rd(A,B),rd(B,rd(B,op_c))) -> rd(A,rd(B,op_c)) collapsed.
% Rule [318] mult(mult(A,rd(B,rd(B,op_c))),B) -> rd(mult(A,B),rd(unit,op_c))
% collapsed.
% Current number of equations to process: 3407
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [327] rd(rd(A,rd(B,op_c)),rd(A,B)) -> rd(A,rd(A,op_c))
% Rule [161] rd(rd(op_c,rd(A,op_c)),rd(op_c,A)) -> op_c collapsed.
% Current number of equations to process: 3406
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [328] mult(rd(op_c,A),rd(A,rd(A,rd(unit,op_c)))) -> rd(unit,A)
% Current number of equations to process: 3505
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [329] rd(rd(unit,A),rd(unit,rd(A,rd(A,op_c)))) -> rd(op_c,A)
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [330] mult(op_c,mult(rd(rd(unit,A),B),C)) -> mult(rd(rd(op_c,A),B),C)
% Current number of equations to process: 3678
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [331] rd(rd(A,rd(rd(unit,B),C)),op_c) -> rd(A,rd(rd(op_c,B),C))
% Rule [250] rd(rd(A,rd(rd(unit,B),op_c)),op_c) -> rd(A,rd(rd(op_c,B),op_c))
% collapsed.
% Rule [316] rd(rd(unit,rd(rd(unit,op_c),A)),op_c) -> rd(unit,rd(unit,A))
% collapsed.
% Rule [325] rd(rd(op_c,rd(rd(unit,A),B)),op_c) -> rd(op_c,rd(rd(op_c,A),B))
% collapsed.
% Current number of equations to process: 3677
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [332] rd(unit,rd(unit,rd(A,rd(A,op_c)))) -> rd(A,rd(A,op_c))
% Current number of equations to process: 3872
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [333] rd(mult(op_c,A),rd(A,op_c)) -> rd(op_c,rd(A,rd(A,rd(unit,op_c))))
% Current number of equations to process: 3907
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [334] rd(rd(A,rd(A,op_c)),op_c) -> rd(unit,rd(op_c,rd(A,rd(A,op_c))))
% Current number of equations to process: 3906
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [335] rd(rd(rd(A,op_c),B),rd(A,B)) -> rd(unit,rd(A,rd(A,op_c)))
% Rule [281] rd(rd(rd(unit,op_c),A),rd(unit,A)) -> rd(unit,op_c) collapsed.
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [336] rd(A,mult(mult(rd(op_c,A),B),A)) -> rd(mult(rd(unit,B),A),op_c)
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [337] mult(rd(A,rd(A,op_c)),rd(A,B)) -> rd(A,rd(B,op_c))
% Current number of equations to process: 4289
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [338] rd(rd(A,B),rd(rd(A,op_c),B)) -> rd(A,rd(A,op_c))
% Rule [177] rd(rd(unit,A),rd(rd(unit,op_c),A)) -> op_c collapsed.
% Current number of equations to process: 4288
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [339] rd(rd(A,rd(A,op_c)),rd(op_c,A)) -> rd(unit,rd(unit,A))
% Current number of equations to process: 4441
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [340] mult(rd(op_c,A),rd(unit,rd(A,rd(A,op_c)))) -> rd(unit,A)
% Current number of equations to process: 4450
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [341] mult(rd(A,rd(A,op_c)),rd(rd(A,op_c),B)) -> rd(A,B)
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [342]
% mult(A,rd(B,rd(unit,rd(op_c,rd(unit,op_c))))) ->
% rd(mult(A,B),rd(unit,rd(op_c,rd(unit,op_c))))
% Rule
% [189]
% rd(mult(A,rd(B,rd(unit,rd(op_c,rd(unit,op_c))))),rd(op_c,rd(unit,op_c))) ->
% mult(A,B) collapsed.
% Rule
% [190]
% mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),rd(mult(A,rd(B,rd(unit,
% rd(op_c,
% rd(unit,op_c))))),
% mult(A,B))),mult(A,B))) ->
% rd(op_c,rd(unit,op_c)) collapsed.
% Rule
% [199]
% mult(rd(A,rd(B,rd(unit,op_c))),rd(B,rd(unit,rd(op_c,rd(unit,op_c))))) ->
% rd(A,rd(unit,op_c)) collapsed.
% Current number of equations to process: 3017
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [343]
% mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),rd(mult(mult(A,C),mult(
% mult(
% rd(unit,C),B),C)),
% mult(A,B))),mult(A,B))) -> C
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [344] mult(mult(A,B),mult(rd(unit,B),mult(op_c,B))) -> mult(A,mult(op_c,B))
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [345]
% mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),rd(unit,rd(op_c,rd(mult(A,B),
% rd(mult(A,B),op_c))))),
% mult(op_c,mult(A,B)))) -> op_c
% Current number of equations to process: 3313
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [346]
% mult(op_c,mult(op_c,mult(A,mult(mult(rd(rd(unit,A),rd(op_c,rd(unit,op_c))),A),
% mult(mult(rd(unit,A),rd(B,A)),A))))) -> B
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [347]
% rd(mult(op_c,mult(A,mult(mult(rd(op_c,rd(A,rd(unit,op_c))),rd(mult(rd(unit,op_c),B),
% rd(mult(op_c,A),
% rd(unit,op_c)))),
% mult(op_c,A)))),rd(unit,op_c)) -> B
% Current number of equations to process: 3558
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [348]
% mult(mult(rd(rd(unit,A),rd(op_c,rd(unit,op_c))),A),mult(mult(rd(unit,A),
% rd(mult(op_c,
% mult(op_c,
% mult(A,B))),A)),A))
% -> B
% Current number of equations to process: 3625
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [349]
% rd(mult(rd(unit,op_c),mult(mult(rd(op_c,rd(A,rd(unit,op_c))),rd(mult(A,
% mult(op_c,B)),
% rd(mult(op_c,A),
% rd(unit,op_c)))),
% mult(op_c,A))),rd(unit,op_c)) -> B
% Current number of equations to process: 3710
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [350]
% rd(mult(mult(A,B),mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),rd(C,
% rd(
% mult(A,B),
% rd(unit,op_c)))),
% mult(A,B)))),rd(unit,op_c)) -> C
% Current number of equations to process: 3780
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [351]
% rd(mult(rd(unit,op_c),mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),
% rd(mult(mult(A,B),mult(op_c,C)),
% rd(mult(A,B),rd(unit,op_c)))),
% mult(A,B)))),rd(unit,op_c)) -> C
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [352]
% rd(mult(rd(A,B),mult(B,C)),mult(mult(mult(rd(unit,B),rd(A,B)),B),C)) -> B
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [353]
% rd(mult(rd(mult(A,B),A),C),mult(B,mult(mult(rd(unit,A),rd(C,A)),A))) -> A
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [354]
% mult(A,mult(op_c,mult(B,mult(mult(rd(unit,A),rd(C,A)),A)))) <->
% mult(rd(mult(A,mult(op_c,B)),A),C)
% Current number of equations to process: 4299
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [355]
% mult(rd(mult(A,mult(op_c,B)),A),C) <->
% mult(A,mult(op_c,mult(B,mult(mult(rd(unit,A),rd(C,A)),A))))
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [356]
% mult(A,mult(B,mult(mult(rd(op_c,A),rd(C,A)),A))) <->
% mult(rd(mult(A,B),rd(A,op_c)),C)
% Current number of equations to process: 4566
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [357]
% mult(rd(mult(A,B),rd(A,op_c)),C) <->
% mult(A,mult(B,mult(mult(rd(op_c,A),rd(C,A)),A)))
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [358]
% mult(mult(A,mult(B,mult(mult(rd(unit,A),rd(op_c,A)),A))),C) ->
% mult(rd(mult(A,B),A),mult(op_c,C))
% Current number of equations to process: 4954
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [359]
% mult(rd(mult(A,B),rd(A,op_c)),C) <->
% rd(mult(A,mult(B,mult(mult(rd(op_c,A),rd(C,rd(A,op_c))),A))),op_c)
% Current number of equations to process: 787
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [360]
% rd(mult(A,mult(B,mult(mult(rd(op_c,A),rd(C,rd(A,op_c))),A))),op_c) <->
% mult(rd(mult(A,B),rd(A,op_c)),C)
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [361]
% mult(op_c,mult(mult(mult(rd(unit,A),B),A),C)) ->
% mult(mult(mult(rd(op_c,A),B),A),C)
% Current number of equations to process: 1085
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [362]
% mult(A,mult(mult(rd(unit,B),C),mult(op_c,B))) <->
% mult(mult(rd(A,B),C),mult(op_c,B))
% Current number of equations to process: 1165
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced :
% [363]
% mult(mult(rd(A,B),C),mult(op_c,B)) <->
% mult(A,mult(mult(rd(unit,B),C),mult(op_c,B)))
% Current number of equations to process: 1165
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [364]
% mult(mult(A,mult(op_c,B)),mult(mult(rd(unit,B),rd(C,B)),B)) <->
% mult(mult(A,rd(mult(op_c,C),B)),B)
% Current number of equations to process: 1415
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [365]
% mult(mult(A,rd(mult(op_c,C),B)),B) <->
% mult(mult(A,mult(op_c,B)),mult(mult(rd(unit,B),rd(C,B)),B))
% Rule
% [348]
% mult(mult(rd(rd(unit,A),rd(op_c,rd(unit,op_c))),A),mult(mult(rd(unit,A),
% rd(mult(op_c,
% mult(op_c,
% mult(A,B))),A)),A))
% -> B collapsed.
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [366] mult(rd(A,B),C) <-> rd(mult(A,mult(mult(rd(unit,B),C),B)),B)
% Current number of equations to process: 1721
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [367] rd(mult(A,mult(mult(rd(unit,B),C),B)),B) <-> mult(rd(A,B),C)
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [368] mult(rd(A,C),rd(C,mult(C,B))) -> rd(mult(A,rd(unit,B)),C)
% Rule [313] mult(rd(op_c,A),rd(A,mult(A,B))) -> rd(rd(op_c,B),A) collapsed.
% Rule [315] mult(rd(unit,A),rd(A,mult(A,B))) -> rd(rd(unit,B),A) collapsed.
% Current number of equations to process: 1986
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [369] mult(rd(rd(unit,op_c),A),B) -> mult(rd(unit,op_c),mult(rd(unit,A),B))
% Current number of equations to process: 2030
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [370] rd(mult(rd(A,B),mult(C,B)),A) -> rd(mult(rd(A,B),C),rd(A,B))
% Current number of equations to process: 2382
% Current number of ordered equations: 0
% Current number of rules: 262
% Rule [196]
% mult(rd(A,B),mult(op_c,B)) <-> mult(A,mult(rd(unit,B),mult(op_c,B))) is composed into
% [196]
% mult(rd(A,B),mult(op_c,B)) <-> mult(A,rd(mult(rd(unit,B),op_c),rd(unit,B)))
% Rule [170] mult(rd(unit,op_c),A) <-> rd(A,mult(rd(unit,A),mult(op_c,A))) is composed into
% [170] mult(rd(unit,op_c),A) <-> rd(A,rd(mult(rd(unit,A),op_c),rd(unit,A)))
% New rule produced :
% [371] mult(rd(unit,A),mult(B,A)) -> rd(mult(rd(unit,A),B),rd(unit,A))
% Rule [134] mult(A,mult(rd(unit,A),mult(op_c,A))) -> mult(op_c,A) collapsed.
% Rule [151] rd(mult(op_c,A),mult(rd(unit,A),mult(op_c,A))) -> A collapsed.
% Rule [169] rd(A,mult(rd(unit,A),mult(op_c,A))) <-> mult(rd(unit,op_c),A)
% collapsed.
% Rule [180] rd(A,rd(A,mult(rd(unit,A),mult(op_c,A)))) -> op_c collapsed.
% Rule
% [195] mult(A,mult(rd(unit,B),mult(op_c,B))) <-> mult(rd(A,B),mult(op_c,B))
% collapsed.
% Rule [255] rd(rd(A,mult(rd(unit,A),mult(op_c,A))),A) -> rd(unit,op_c)
% collapsed.
% Rule
% [344] mult(mult(A,B),mult(rd(unit,B),mult(op_c,B))) -> mult(A,mult(op_c,B))
% collapsed.
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [372] rd(rd(mult(op_c,mult(op_c,A)),B),rd(A,B)) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [373] rd(mult(A,rd(mult(op_c,B),C)),rd(B,C)) -> rd(A,rd(unit,op_c))
% Current number of equations to process: 2981
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [374] rd(mult(op_c,mult(A,mult(rd(unit,op_c),B))),B) -> rd(mult(op_c,A),op_c)
% Current number of equations to process: 3133
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [375] rd(mult(mult(A,B),C),mult(op_c,B)) -> rd(mult(A,rd(mult(B,C),B)),op_c)
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [376]
% rd(mult(op_c,mult(mult(A,B),C)),B) -> mult(op_c,mult(A,rd(mult(B,C),B)))
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [377] mult(B,mult(mult(mult(rd(unit,B),A),B),C)) -> mult(A,mult(B,C))
% Current number of equations to process: 3421
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [378] mult(rd(A,mult(A,B)),mult(A,C)) -> mult(A,mult(rd(unit,B),C))
% Rule [245] mult(rd(A,mult(A,A)),mult(A,mult(op_c,A))) -> mult(op_c,A)
% collapsed.
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [379] rd(mult(op_c,mult(A,rd(B,C))),A) -> rd(mult(op_c,mult(A,B)),mult(A,C))
% Rule [240] rd(mult(op_c,mult(A,rd(unit,B))),A) -> rd(mult(op_c,A),mult(A,B))
% collapsed.
% Current number of equations to process: 3687
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [380]
% mult(rd(A,rd(op_c,rd(unit,op_c))),B) ->
% mult(rd(A,op_c),mult(rd(unit,op_c),B))
% Rule
% [117] mult(rd(A,rd(op_c,rd(unit,op_c))),mult(op_c,B)) -> mult(rd(A,op_c),B)
% collapsed.
% Rule
% [346]
% mult(op_c,mult(op_c,mult(A,mult(mult(rd(rd(unit,A),rd(op_c,rd(unit,op_c))),A),
% mult(mult(rd(unit,A),rd(B,A)),A))))) -> B
% collapsed.
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [381]
% rd(mult(mult(A,B),rd(unit,B)),rd(rd(unit,B),op_c)) -> mult(A,mult(op_c,B))
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [382] mult(A,mult(mult(rd(unit,A),B),mult(op_c,A))) -> mult(B,mult(op_c,A))
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [383] rd(rd(A,rd(mult(op_c,B),C)),rd(unit,op_c)) -> rd(A,rd(B,C))
% Current number of equations to process: 4169
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [384] rd(rd(A,rd(op_c,rd(unit,op_c))),rd(B,op_c)) -> rd(rd(A,op_c),B)
% Current number of equations to process: 4253
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [385] rd(rd(A,op_c),rd(B,rd(op_c,rd(unit,op_c)))) -> rd(A,rd(B,op_c))
% Rule [244] rd(rd(unit,op_c),rd(A,rd(op_c,rd(unit,op_c)))) -> rd(op_c,A)
% collapsed.
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced : [386] rd(rd(rd(mult(op_c,A),B),C),rd(rd(A,B),C)) -> op_c
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [387] mult(rd(A,rd(B,mult(op_c,C))),rd(B,C)) -> rd(A,rd(unit,op_c))
% Current number of equations to process: 4564
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [388] rd(mult(A,rd(B,C)),mult(op_c,A)) -> rd(rd(mult(A,B),mult(A,C)),op_c)
% Rule [241] rd(mult(A,rd(unit,B)),mult(op_c,A)) -> rd(rd(A,mult(A,B)),op_c)
% collapsed.
% Current number of equations to process: 4680
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [389]
% mult(rd(rd(mult(op_c,A),B),C),V_3) -> mult(op_c,mult(rd(rd(A,B),C),V_3))
% Current number of equations to process: 4857
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [390] rd(mult(A,B),mult(A,mult(rd(unit,op_c),B))) -> rd(A,rd(A,op_c))
% Current number of equations to process: 4988
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [391] rd(mult(A,B),mult(rd(A,op_c),C)) <-> rd(mult(A,rd(B,C)),rd(A,op_c))
% Rule [116] rd(mult(A,B),mult(rd(A,op_c),B)) -> rd(A,rd(A,op_c)) collapsed.
% Current number of equations to process: 2406
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [392] rd(mult(A,rd(B,C)),rd(A,op_c)) <-> rd(mult(A,B),mult(rd(A,op_c),C))
% Current number of equations to process: 2406
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [393] mult(op_c,mult(rd(mult(rd(unit,op_c),A),B),C)) -> mult(rd(A,B),C)
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [394] rd(mult(op_c,A),rd(rd(unit,A),rd(rd(unit,A),op_c))) -> A
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [395]
% rd(mult(mult(A,mult(op_c,B)),C),B) -> mult(A,rd(mult(op_c,mult(B,C)),B))
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [396] mult(rd(rd(A,rd(unit,op_c)),mult(A,B)),A) -> mult(A,rd(op_c,B))
% Current number of equations to process: 2948
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [397]
% mult(A,mult(rd(rd(unit,A),rd(rd(unit,A),op_c)),B)) -> mult(op_c,mult(A,B))
% Current number of equations to process: 3080
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [398] rd(rd(rd(op_c,rd(unit,op_c)),A),rd(unit,A)) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [399] rd(A,rd(unit,mult(mult(rd(unit,A),rd(op_c,A)),A))) -> op_c
% Current number of equations to process: 3243
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [400] rd(rd(op_c,mult(mult(rd(unit,A),rd(unit,A)),A)),A) -> op_c
% Current number of equations to process: 3243
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [401] rd(op_c,mult(mult(rd(unit,A),rd(unit,A)),A)) -> mult(op_c,A)
% Rule [400] rd(rd(op_c,mult(mult(rd(unit,A),rd(unit,A)),A)),A) -> op_c
% collapsed.
% Current number of equations to process: 3282
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [402] rd(A,rd(rd(mult(op_c,B),C),V_3)) <-> rd(rd(A,rd(rd(B,C),V_3)),op_c)
% Current number of equations to process: 3328
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [403] rd(rd(A,rd(rd(B,C),V_3)),op_c) <-> rd(A,rd(rd(mult(op_c,B),C),V_3))
% Current number of equations to process: 3328
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [404] rd(rd(A,rd(B,mult(op_c,C))),op_c) <-> rd(A,rd(rd(mult(op_c,B),C),op_c))
% Current number of equations to process: 3912
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [405] rd(A,rd(rd(mult(op_c,B),C),op_c)) <-> rd(rd(A,rd(B,mult(op_c,C))),op_c)
% Current number of equations to process: 3912
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [406] mult(A,rd(B,rd(mult(op_c,C),V_3))) -> rd(mult(A,rd(B,rd(C,V_3))),op_c)
% Rule
% [347]
% rd(mult(op_c,mult(A,mult(mult(rd(op_c,rd(A,rd(unit,op_c))),rd(mult(rd(unit,op_c),B),
% rd(mult(op_c,A),
% rd(unit,op_c)))),
% mult(op_c,A)))),rd(unit,op_c)) -> B collapsed.
% Rule
% [349]
% rd(mult(rd(unit,op_c),mult(mult(rd(op_c,rd(A,rd(unit,op_c))),rd(mult(A,
% mult(op_c,B)),
% rd(mult(op_c,A),
% rd(unit,op_c)))),
% mult(op_c,A))),rd(unit,op_c)) -> B collapsed.
% Current number of equations to process: 4137
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [407] rd(rd(A,rd(mult(rd(unit,op_c),B),C)),op_c) -> rd(A,rd(B,C))
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [408] rd(A,rd(mult(op_c,B),mult(op_c,C))) <-> rd(rd(A,rd(rd(B,C),op_c)),op_c)
% Current number of equations to process: 4406
% Current number of ordered equations: 1
% Current number of rules: 283
% New rule produced :
% [409] rd(rd(A,rd(rd(B,C),op_c)),op_c) <-> rd(A,rd(mult(op_c,B),mult(op_c,C)))
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [410] rd(mult(A,rd(B,mult(rd(unit,op_c),C))),op_c) -> mult(A,rd(B,C))
% Current number of equations to process: 4688
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [411] mult(op_c,mult(rd(op_c,rd(A,rd(unit,op_c))),B)) -> mult(rd(op_c,A),B)
% Current number of equations to process: 4807
% Current number of ordered equations: 0
% Current number of rules: 286
% Rule [380]
% mult(rd(A,rd(op_c,rd(unit,op_c))),B) ->
% mult(rd(A,op_c),mult(rd(unit,op_c),B)) is composed into [380]
% mult(rd(A,
% rd(op_c,
% rd(unit,op_c))),B)
% ->
% mult(rd(A,op_c),
% rd(B,rd(
% rd(unit,B),
% rd(
% rd(unit,B),op_c))))
% Rule [369]
% mult(rd(rd(unit,op_c),A),B) -> mult(rd(unit,op_c),mult(rd(unit,A),B)) is composed into
% [369]
% mult(rd(rd(unit,op_c),A),B) ->
% rd(mult(rd(unit,A),B),rd(rd(unit,mult(rd(unit,A),B)),rd(rd(unit,mult(
% rd(unit,A),B)),op_c)))
% Rule [258]
% rd(A,mult(rd(op_c,A),mult(op_c,A))) <-> rd(mult(rd(unit,op_c),A),op_c) is composed into
% [258]
% rd(A,mult(rd(op_c,A),mult(op_c,A))) ->
% rd(rd(A,rd(rd(unit,A),rd(rd(unit,A),op_c))),op_c)
% Rule [246] rd(A,mult(A,mult(op_c,A))) <-> rd(mult(rd(unit,op_c),A),mult(A,A)) is composed into
% [246]
% rd(A,mult(A,mult(op_c,A))) ->
% rd(rd(A,rd(rd(unit,A),rd(rd(unit,A),op_c))),mult(A,A))
% Rule [235] rd(rd(A,op_c),rd(B,C)) <-> rd(A,rd(B,mult(rd(unit,op_c),C))) is composed into
% [235]
% rd(rd(A,op_c),rd(B,C)) <->
% rd(A,rd(B,rd(C,rd(rd(unit,C),rd(rd(unit,C),op_c)))))
% Rule [234] rd(rd(A,B),rd(C,op_c)) <-> rd(rd(A,mult(rd(unit,op_c),B)),C) is composed into
% [234]
% rd(rd(A,B),rd(C,op_c)) <->
% rd(rd(A,rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c)))),C)
% Rule [225] mult(rd(A,op_c),rd(B,C)) <-> mult(A,rd(mult(rd(unit,op_c),B),C)) is composed into
% [225]
% mult(rd(A,op_c),rd(B,C)) ->
% mult(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),C))
% Rule [216] mult(rd(A,mult(op_c,B)),C) -> mult(rd(A,B),mult(rd(unit,op_c),C)) is composed into
% [216]
% mult(rd(A,mult(op_c,B)),C) ->
% mult(rd(A,B),rd(C,rd(rd(unit,C),rd(rd(unit,C),op_c))))
% Rule [174] rd(unit,rd(A,B)) <-> rd(op_c,rd(A,mult(rd(unit,op_c),B))) is composed into
% [174]
% rd(unit,rd(A,B)) <-> rd(op_c,rd(A,rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c)))))
% Rule [171] mult(rd(unit,A),B) <-> mult(rd(unit,op_c),mult(rd(op_c,A),B)) is composed into
% [171]
% mult(rd(unit,A),B) ->
% rd(mult(rd(op_c,A),B),rd(rd(unit,mult(rd(op_c,A),B)),rd(rd(unit,mult(
% rd(op_c,A),B)),op_c)))
% Rule [147] rd(rd(A,B),rd(unit,op_c)) <-> rd(A,mult(rd(unit,op_c),B)) is composed into
% [147]
% rd(rd(A,B),rd(unit,op_c)) <-> rd(A,rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))))
% Rule [122] mult(rd(A,op_c),B) <-> mult(A,mult(rd(unit,op_c),B)) is composed into
% [122] mult(rd(A,op_c),B) -> mult(A,rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))))
% Rule [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,mult(rd(unit,op_c),mult(rd(B,op_c),mult(op_c,C)))) is composed into
% [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,rd(mult(rd(B,op_c),mult(op_c,C)),rd(rd(unit,mult(rd(B,op_c),mult(op_c,C))),
% rd(rd(unit,mult(rd(B,op_c),mult(op_c,C))),op_c))))
% Rule [60]
% mult(rd(A,op_c),B) <->
% rd(mult(A,rd(mult(rd(unit,op_c),B),op_c)),rd(unit,op_c)) is composed into
% [60]
% mult(rd(A,op_c),B) ->
% rd(mult(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),op_c)),rd(unit,op_c))
% Rule [13]
% asoc(A,B,C) ->
% mult(mult(rd(unit,op_c),mult(rd(op_c,mult(A,mult(B,C))),rd(mult(
% mult(A,B),C),
% mult(A,mult(B,C))))),
% mult(A,mult(B,C))) is composed into [13]
% asoc(A,B,C) ->
% mult(rd(mult(rd(op_c,mult(A,
% mult(B,C))),
% rd(mult(mult(A,B),C),
% mult(A,mult(B,C)))),
% rd(rd(unit,mult(rd(op_c,
% mult(A,
% mult(B,C))),
% rd(mult(mult(A,B),C),
% mult(A,mult(B,C))))),
% rd(rd(unit,mult(rd(op_c,
% mult(A,
% mult(B,C))),
% rd(mult(mult(A,B),C),
% mult(A,mult(B,C))))),op_c))),
% mult(A,mult(B,C)))
% New rule produced :
% [412] mult(rd(unit,op_c),A) -> rd(A,rd(rd(unit,A),rd(rd(unit,A),op_c)))
% Rule [115] rd(mult(A,mult(rd(unit,op_c),B)),B) -> rd(A,op_c) collapsed.
% Rule [121] mult(A,mult(rd(unit,op_c),B)) <-> mult(rd(A,op_c),B) collapsed.
% Rule [135] mult(mult(rd(unit,op_c),A),B) -> mult(rd(unit,op_c),mult(A,B))
% collapsed.
% Rule [144] rd(mult(rd(unit,op_c),mult(A,B)),B) -> mult(rd(unit,op_c),A)
% collapsed.
% Rule [146] rd(A,mult(rd(unit,op_c),B)) <-> rd(rd(A,B),rd(unit,op_c))
% collapsed.
% Rule [149] rd(mult(A,B),mult(rd(unit,op_c),B)) -> rd(A,rd(unit,op_c))
% collapsed.
% Rule [150] rd(rd(A,B),rd(mult(rd(unit,op_c),A),B)) -> op_c collapsed.
% Rule
% [170] mult(rd(unit,op_c),A) <-> rd(A,rd(mult(rd(unit,A),op_c),rd(unit,A)))
% collapsed.
% Rule [172] mult(rd(unit,op_c),mult(rd(op_c,A),B)) <-> mult(rd(unit,A),B)
% collapsed.
% Rule [175] rd(op_c,rd(A,mult(rd(unit,op_c),B))) <-> rd(unit,rd(A,B))
% collapsed.
% Rule
% [191]
% mult(rd(C,A),mult(A,mult(rd(unit,op_c),mult(mult(rd(op_c,mult(mult(rd(unit,A),
% rd(C,A)),A)),
% rd(B,mult(mult(rd(unit,A),
% rd(C,A)),A))),mult(
% mult(
% rd(unit,A),
% rd(C,A)),A)))))
% -> mult(A,B) collapsed.
% Rule
% [192] rd(mult(op_c,mult(rd(A,op_c),B)),mult(rd(unit,op_c),B)) -> mult(op_c,A)
% collapsed.
% Rule [224] mult(A,rd(mult(rd(unit,op_c),B),C)) <-> mult(rd(A,op_c),rd(B,C))
% collapsed.
% Rule [228] mult(rd(A,mult(rd(unit,op_c),B)),C) -> mult(rd(A,B),mult(op_c,C))
% collapsed.
% Rule [232] rd(rd(A,mult(rd(unit,op_c),B)),C) <-> rd(rd(A,B),rd(C,op_c))
% collapsed.
% Rule [233] rd(A,rd(B,mult(rd(unit,op_c),C))) <-> rd(rd(A,op_c),rd(B,C))
% collapsed.
% Rule [243] rd(rd(mult(rd(unit,op_c),A),B),rd(A,B)) -> rd(unit,op_c)
% collapsed.
% Rule [247] rd(mult(rd(unit,op_c),A),mult(A,A)) <-> rd(A,mult(A,mult(op_c,A)))
% collapsed.
% Rule
% [259] rd(mult(rd(unit,op_c),A),op_c) <-> rd(A,mult(rd(op_c,A),mult(op_c,A)))
% collapsed.
% Rule
% [343]
% mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),rd(mult(mult(A,C),mult(
% mult(
% rd(unit,C),B),C)),
% mult(A,B))),mult(A,B))) -> C
% collapsed.
% Rule
% [345]
% mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),rd(unit,rd(op_c,rd(mult(A,B),
% rd(mult(A,B),op_c))))),
% mult(op_c,mult(A,B)))) -> op_c collapsed.
% Rule
% [350]
% rd(mult(mult(A,B),mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),rd(C,
% rd(
% mult(A,B),
% rd(unit,op_c)))),
% mult(A,B)))),rd(unit,op_c)) -> C
% collapsed.
% Rule
% [351]
% rd(mult(rd(unit,op_c),mult(rd(unit,op_c),mult(mult(rd(op_c,mult(A,B)),
% rd(mult(mult(A,B),mult(op_c,C)),
% rd(mult(A,B),rd(unit,op_c)))),
% mult(A,B)))),rd(unit,op_c)) -> C
% collapsed.
% Rule
% [374] rd(mult(op_c,mult(A,mult(rd(unit,op_c),B))),B) -> rd(mult(op_c,A),op_c)
% collapsed.
% Rule [390] rd(mult(A,B),mult(A,mult(rd(unit,op_c),B))) -> rd(A,rd(A,op_c))
% collapsed.
% Rule [393] mult(op_c,mult(rd(mult(rd(unit,op_c),A),B),C)) -> mult(rd(A,B),C)
% collapsed.
% Rule [407] rd(rd(A,rd(mult(rd(unit,op_c),B),C)),op_c) -> rd(A,rd(B,C))
% collapsed.
% Rule [410] rd(mult(A,rd(B,mult(rd(unit,op_c),C))),op_c) -> mult(A,rd(B,C))
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% rd(rd(mult(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(rd(mult(rd(op_c,c),
% rd(mult(mult(a,b),c),
% mult(a,mult(b,c)))),
% rd(rd(unit,mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),
% rd(rd(unit,mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),op_c))),c)),
% mult(rd(mult(rd(op_c,c),mult(a,mult(b,c))),rd(rd(unit,mult(rd(op_c,c),
% mult(a,mult(b,c)))),
% rd(rd(unit,mult(rd(op_c,c),
% mult(a,mult(b,c)))),op_c))),c)),
% rd(rd(unit,mult(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(rd(mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),
% rd(rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),op_c))),c)),
% mult(rd(mult(rd(op_c,c),mult(a,mult(b,c))),rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),op_c))),c))),
% rd(rd(unit,mult(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(rd(mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),
% rd(rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),op_c))),c)),
% mult(rd(mult(rd(op_c,c),mult(a,mult(b,c))),rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),op_c))),c))),op_c))),
% rd(c,rd(mult(rd(op_c,c),rd(mult(c,rd(unit,c)),rd(rd(unit,c),op_c))),rd(
% rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(c,
% rd(unit,c)),
% rd(
% rd(unit,c),op_c)))),
% rd(
% rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(c,
% rd(unit,c)),
% rd(
% rd(unit,c),op_c)))),op_c))))) =
% mult(mult(rd(op_c,mult(a,mult(b,c))),rd(mult(mult(a,b),c),mult(a,mult(b,c)))),
% mult(a,mult(b,c)))
%
% Current number of equations to process: 4909
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [413] rd(mult(op_c,mult(A,rd(unit,B))),rd(op_c,B)) -> rd(mult(op_c,A),op_c)
% Current number of equations to process: 4921
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [414] rd(mult(A,rd(op_c,B)),mult(A,rd(unit,B))) -> rd(A,rd(A,op_c))
% Current number of equations to process: 2339
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [415]
% rd(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))) <->
% rd(rd(A,rd(B,op_c)),rd(unit,op_c))
% Current number of equations to process: 2444
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [416]
% rd(rd(A,rd(B,op_c)),rd(unit,op_c)) <->
% rd(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c))))
% Current number of equations to process: 2444
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [417]
% mult(A,rd(B,rd(C,rd(rd(unit,C),rd(rd(unit,C),op_c))))) ->
% rd(mult(A,rd(B,C)),rd(unit,op_c))
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [418] rd(A,rd(A,rd(rd(unit,A),rd(rd(unit,A),op_c)))) -> op_c
% Current number of equations to process: 2838
% Current number of ordered equations: 0
% Current number of rules: 265
% Rule [380]
% mult(rd(A,rd(op_c,rd(unit,op_c))),B) ->
% mult(rd(A,op_c),rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c)))) is composed into
% [380]
% mult(rd(A,rd(op_c,rd(unit,op_c))),B) ->
% rd(mult(rd(A,op_c),rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),rd(unit,op_c))
% Rule [216]
% mult(rd(A,mult(op_c,B)),C) ->
% mult(rd(A,B),rd(C,rd(rd(unit,C),rd(rd(unit,C),op_c)))) is composed into
% [216]
% mult(rd(A,mult(op_c,B)),C) ->
% rd(mult(rd(A,B),rd(C,rd(rd(op_c,C),rd(rd(unit,C),op_c)))),rd(unit,op_c))
% Rule [122]
% mult(rd(A,op_c),B) -> mult(A,rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c)))) is composed into
% [122]
% mult(rd(A,op_c),B) ->
% rd(mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),rd(unit,op_c))
% Rule [76]
% mult(rd(A,op_c),mult(B,C)) <->
% mult(A,rd(mult(rd(B,op_c),mult(op_c,C)),rd(rd(unit,mult(rd(B,op_c),
% mult(op_c,C))),
% rd(rd(unit,mult(rd(B,op_c),
% mult(op_c,C))),op_c)))) is composed into
% [76]
% mult(rd(A,op_c),mult(B,C)) <->
% rd(mult(A,rd(mult(rd(B,op_c),mult(op_c,C)),rd(rd(op_c,mult(rd(B,op_c),
% mult(op_c,C))),
% rd(rd(unit,mult(rd(B,op_c),
% mult(op_c,C))),op_c)))),
% rd(unit,op_c))
% New rule produced :
% [419]
% mult(A,rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c)))) ->
% rd(mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),rd(unit,op_c))
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [420] rd(mult(rd(A,C),mult(C,B)),A) -> rd(rd(mult(A,B),C),rd(A,C))
% Current number of equations to process: 3009
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [421]
% mult(rd(A,B),C) <->
% rd(mult(A,mult(rd(mult(rd(op_c,B),C),rd(rd(unit,mult(rd(op_c,B),C)),rd(
% rd(unit,
% mult(
% rd(op_c,B),C)),op_c))),B)),B)
% Current number of equations to process: 3270
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [422]
% rd(mult(A,mult(rd(mult(rd(op_c,B),C),rd(rd(unit,mult(rd(op_c,B),C)),rd(
% rd(unit,
% mult(
% rd(op_c,B),C)),op_c))),B)),B)
% <-> mult(rd(A,B),C)
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [423]
% mult(rd(rd(A,op_c),mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c))))),A) ->
% rd(mult(A,rd(unit,B)),rd(unit,op_c))
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [424]
% mult(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))) ->
% rd(A,rd(rd(unit,A),rd(rd(unit,A),op_c)))
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [425]
% mult(rd(rd(A,rd(rd(unit,A),rd(rd(unit,A),op_c))),B),C) ->
% rd(mult(rd(A,B),C),rd(rd(unit,mult(rd(A,B),C)),rd(rd(unit,mult(rd(A,B),C)),op_c)))
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [426]
% rd(rd(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),C)),op_c) ->
% rd(A,rd(B,C))
% Current number of equations to process: 4081
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [427]
% rd(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),C)) <->
% rd(rd(A,rd(B,C)),rd(unit,op_c))
% Current number of equations to process: 4258
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [428]
% rd(rd(A,rd(B,C)),rd(unit,op_c)) <->
% rd(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),C))
% Current number of equations to process: 4258
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [429] rd(A,rd(rd(unit,op_c),B)) <-> rd(rd(A,rd(unit,B)),rd(unit,op_c))
% Rule
% [280] rd(op_c,rd(rd(unit,op_c),A)) <-> rd(rd(op_c,rd(unit,A)),rd(unit,op_c))
% collapsed.
% Current number of equations to process: 4315
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [430] rd(rd(A,rd(unit,B)),rd(unit,op_c)) <-> rd(A,rd(rd(unit,op_c),B))
% Rule
% [279] rd(rd(op_c,rd(unit,A)),rd(unit,op_c)) <-> rd(op_c,rd(rd(unit,op_c),A))
% collapsed.
% Current number of equations to process: 4315
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [431] rd(unit,rd(rd(unit,op_c),A)) <-> rd(rd(A,rd(A,op_c)),rd(unit,A))
% Current number of equations to process: 4705
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [432] rd(rd(A,rd(A,op_c)),rd(unit,A)) <-> rd(unit,rd(rd(unit,op_c),A))
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [433] rd(unit,rd(A,rd(unit,B))) <-> rd(op_c,rd(A,rd(rd(unit,op_c),B)))
% Current number of equations to process: 4863
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced :
% [434] rd(op_c,rd(A,rd(rd(unit,op_c),B))) <-> rd(unit,rd(A,rd(unit,B)))
% Rule
% [298] rd(op_c,rd(op_c,rd(rd(unit,op_c),A))) -> rd(unit,rd(op_c,rd(unit,A)))
% collapsed.
% Rule
% [317] rd(op_c,rd(unit,rd(rd(unit,op_c),A))) -> rd(unit,rd(unit,rd(unit,A)))
% collapsed.
% Current number of equations to process: 4863
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [435] rd(rd(op_c,rd(A,mult(op_c,B))),rd(op_c,rd(A,B))) -> op_c
% Current number of equations to process: 2194
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [436]
% mult(rd(op_c,rd(A,mult(op_c,B))),C) -> mult(op_c,mult(rd(op_c,rd(A,B)),C))
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [437]
% rd(rd(A,mult(A,A)),rd(rd(A,rd(rd(unit,A),rd(rd(unit,A),op_c))),mult(A,A))) ->
% op_c
% Current number of equations to process: 2365
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [438]
% mult(A,rd(rd(B,mult(B,B)),rd(rd(rd(B,rd(op_c,B)),rd(B,op_c)),rd(rd(rd(B,
% rd(op_c,B)),
% rd(B,op_c)),op_c))))
% -> mult(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),mult(B,B)))
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [439] rd(rd(op_c,rd(A,op_c)),rd(rd(op_c,rd(unit,op_c)),A)) -> unit
% Current number of equations to process: 2572
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [440] rd(rd(op_c,A),rd(unit,rd(A,rd(unit,op_c)))) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 2609
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [441] rd(rd(rd(unit,op_c),A),rd(unit,rd(A,rd(unit,op_c)))) -> unit
% Current number of equations to process: 2643
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [442]
% mult(rd(op_c,rd(A,rd(unit,op_c))),B) ->
% rd(mult(rd(op_c,A),B),rd(rd(unit,mult(rd(op_c,A),B)),rd(rd(unit,mult(
% rd(op_c,A),B)),op_c)))
% Rule
% [411] mult(op_c,mult(rd(op_c,rd(A,rd(unit,op_c))),B)) -> mult(rd(op_c,A),B)
% collapsed.
% Current number of equations to process: 2674
% Current number of ordered equations: 0
% Current number of rules: 284
% Rule [429] rd(A,rd(rd(unit,op_c),B)) <-> rd(rd(A,rd(unit,B)),rd(unit,op_c)) is composed into
% [429] rd(A,rd(rd(unit,op_c),B)) <-> rd(A,rd(unit,rd(B,rd(unit,op_c))))
% New rule produced :
% [443]
% rd(rd(A,rd(unit,B)),rd(unit,op_c)) -> rd(A,rd(unit,rd(B,rd(unit,op_c))))
% Rule [430] rd(rd(A,rd(unit,B)),rd(unit,op_c)) <-> rd(A,rd(rd(unit,op_c),B))
% collapsed.
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [444]
% mult(rd(op_c,rd(A,rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))))),rd(A,B)) -> unit
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [445] rd(rd(op_c,rd(A,rd(unit,op_c))),rd(rd(unit,op_c),A)) -> op_c
% Current number of equations to process: 3038
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [446] rd(mult(A,rd(op_c,rd(B,op_c))),rd(op_c,B)) -> rd(A,rd(unit,op_c))
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [447] rd(rd(rd(op_c,rd(A,op_c)),B),rd(rd(op_c,A),B)) -> op_c
% Current number of equations to process: 3146
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [448] rd(rd(A,op_c),rd(A,rd(rd(op_c,A),rd(rd(unit,A),op_c)))) -> op_c
% Current number of equations to process: 3253
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [449] mult(A,rd(B,rd(op_c,rd(C,op_c)))) -> rd(mult(A,rd(B,rd(op_c,C))),op_c)
% Rule
% [197]
% mult(A,rd(B,rd(op_c,rd(unit,op_c)))) -> rd(mult(A,B),rd(op_c,rd(unit,op_c)))
% collapsed.
% Current number of equations to process: 3347
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [450]
% rd(rd(A,rd(rd(op_c,B),op_c)),op_c) -> rd(A,rd(rd(op_c,rd(B,op_c)),op_c))
% Current number of equations to process: 3461
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [451] rd(rd(rd(op_c,rd(unit,op_c)),A),rd(op_c,rd(A,op_c))) -> unit
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [452] mult(rd(op_c,rd(A,rd(unit,B))),rd(A,rd(op_c,B))) -> unit
% Current number of equations to process: 3602
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [453]
% rd(unit,rd(A,rd(rd(op_c,B),op_c))) <-> rd(op_c,rd(A,rd(rd(unit,B),op_c)))
% Current number of equations to process: 3682
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [454]
% rd(op_c,rd(A,rd(rd(unit,B),op_c))) <-> rd(unit,rd(A,rd(rd(op_c,B),op_c)))
% Current number of equations to process: 3682
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [455]
% rd(rd(op_c,rd(A,rd(unit,B))),op_c) <-> rd(unit,rd(mult(op_c,A),rd(op_c,B)))
% Current number of equations to process: 3895
% Current number of ordered equations: 1
% Current number of rules: 295
% New rule produced :
% [456]
% rd(unit,rd(mult(op_c,A),rd(op_c,B))) <-> rd(rd(op_c,rd(A,rd(unit,B))),op_c)
% Current number of equations to process: 3895
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [457]
% mult(A,mult(rd(op_c,B),mult(op_c,B))) <-> mult(rd(A,rd(B,op_c)),mult(op_c,B))
% Current number of equations to process: 4084
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [458]
% mult(rd(A,rd(B,op_c)),mult(op_c,B)) <-> mult(A,mult(rd(op_c,B),mult(op_c,B)))
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [459]
% rd(mult(B,rd(mult(rd(op_c,B),rd(A,B)),rd(rd(op_c,mult(rd(op_c,B),rd(A,B))),
% rd(rd(unit,mult(rd(op_c,B),rd(A,B))),op_c)))),
% rd(B,op_c)) -> rd(A,mult(B,B))
% Current number of equations to process: 4250
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [460]
% rd(mult(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),rd(rd(op_c,rd(B,
% rd(rd(unit,B),
% rd(rd(unit,B),op_c)))),
% rd(rd(unit,rd(B,
% rd(rd(unit,B),
% rd(rd(unit,B),op_c)))),op_c)))),
% rd(unit,op_c)) ->
% rd(mult(A,rd(rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c))),rd(rd(op_c,rd(B,
% rd(rd(op_c,B),
% rd(rd(unit,B),op_c)))),
% rd(rd(unit,rd(B,
% rd(rd(op_c,B),
% rd(rd(unit,B),op_c)))),op_c)))),
% rd(unit,rd(op_c,rd(unit,op_c))))
% Current number of equations to process: 4485
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [461] rd(rd(rd(A,mult(op_c,B)),C),op_c) <-> rd(rd(rd(A,B),op_c),mult(op_c,C))
% Current number of equations to process: 4678
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [462] rd(rd(rd(A,B),op_c),mult(op_c,C)) <-> rd(rd(rd(A,mult(op_c,B)),C),op_c)
% Current number of equations to process: 4678
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [463] rd(rd(A,mult(op_c,B)),mult(op_c,C)) <-> rd(rd(rd(rd(A,B),op_c),C),op_c)
% Current number of equations to process: 4906
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [464] rd(rd(rd(rd(A,B),op_c),C),op_c) <-> rd(rd(A,mult(op_c,B)),mult(op_c,C))
% Current number of equations to process: 4906
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [465]
% mult(rd(A,rd(A,rd(unit,op_c))),mult(A,B)) ->
% rd(mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),rd(unit,op_c))
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [466]
% rd(rd(A,op_c),mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c))))) ->
% rd(mult(A,rd(unit,B)),rd(A,op_c))
% Rule
% [423]
% mult(rd(rd(A,op_c),mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c))))),A) ->
% rd(mult(A,rd(unit,B)),rd(unit,op_c)) collapsed.
% Current number of equations to process: 1141
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [467]
% rd(rd(A,rd(rd(op_c,A),rd(rd(unit,A),op_c))),mult(A,rd(A,rd(rd(op_c,A),
% rd(rd(unit,A),op_c)))))
% -> rd(A,mult(A,A))
% Current number of equations to process: 1283
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [468] rd(op_c,mult(A,rd(B,rd(unit,C)))) -> rd(unit,mult(A,rd(B,rd(op_c,C))))
% Current number of equations to process: 1369
% Current number of ordered equations: 0
% Current number of rules: 307
% Rule [460]
% rd(mult(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),rd(rd(op_c,
% rd(B,rd(
% rd(unit,B),
% rd(
% rd(unit,B),op_c)))),
% rd(rd(unit,
% rd(B,rd(
% rd(unit,B),
% rd(
% rd(unit,B),op_c)))),op_c)))),
% rd(unit,op_c)) ->
% rd(mult(A,rd(rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c))),rd(rd(op_c,
% rd(B,rd(
% rd(op_c,B),
% rd(
% rd(unit,B),op_c)))),
% rd(rd(unit,
% rd(B,rd(
% rd(op_c,B),
% rd(
% rd(unit,B),op_c)))),op_c)))),
% rd(unit,rd(op_c,rd(unit,op_c)))) is composed into [460]
% rd(mult(A,rd(rd(B,
% rd(
% rd(unit,B),
% rd(
% rd(unit,B),op_c))),
% rd(rd(op_c,
% rd(B,
% rd(
% rd(unit,B),
% rd(
% rd(unit,B),op_c)))),
% rd(rd(unit,
% rd(B,
% rd(
% rd(unit,B),
% rd(
% rd(unit,B),op_c)))),op_c)))),
% rd(unit,op_c)) ->
% rd(mult(A,rd(rd(B,
% rd(
% rd(op_c,B),
% rd(
% rd(unit,B),op_c))),
% rd(rd(op_c,
% rd(B,
% rd(
% rd(op_c,B),
% rd(
% rd(unit,B),op_c)))),
% rd(unit,
% rd(B,op_c))))),
% rd(unit,rd(op_c,
% rd(unit,op_c))))
% New rule produced :
% [469]
% rd(rd(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),op_c) -> rd(A,rd(B,op_c))
% Current number of equations to process: 1496
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [470] rd(rd(mult(A,B),C),mult(op_c,B)) <-> rd(rd(A,rd(mult(B,C),B)),op_c)
% Current number of equations to process: 1663
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [471] rd(rd(A,rd(mult(B,C),B)),op_c) <-> rd(rd(mult(A,B),C),mult(op_c,B))
% Current number of equations to process: 1663
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [472] rd(mult(op_c,A),rd(mult(B,C),B)) <-> rd(rd(mult(op_c,mult(A,B)),C),B)
% Current number of equations to process: 1966
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [473] rd(rd(mult(op_c,mult(A,B)),C),B) <-> rd(mult(op_c,A),rd(mult(B,C),B))
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [474]
% rd(mult(A,C),mult(rd(mult(rd(op_c,C),B),rd(rd(unit,mult(rd(op_c,C),B)),
% rd(rd(unit,mult(rd(op_c,C),B)),op_c))),C))
% <-> mult(rd(A,B),C)
% Current number of equations to process: 2304
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [475]
% mult(rd(A,B),C) <->
% rd(mult(A,C),mult(rd(mult(rd(op_c,C),B),rd(rd(unit,mult(rd(op_c,C),B)),
% rd(rd(unit,mult(rd(op_c,C),B)),op_c))),C))
% Current number of equations to process: 2304
% Current number of ordered equations: 0
% Current number of rules: 314
% Rule [465]
% mult(rd(A,rd(A,rd(unit,op_c))),mult(A,B)) ->
% rd(mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),rd(unit,op_c)) is composed into
% [465]
% mult(rd(A,rd(A,rd(unit,op_c))),mult(A,B)) ->
% rd(mult(A,B),rd(rd(unit,B),rd(rd(unit,B),op_c)))
% Rule [419]
% mult(A,rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c)))) ->
% rd(mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),rd(unit,op_c)) is composed into
% [419]
% mult(A,rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c)))) ->
% rd(mult(A,B),rd(rd(unit,B),rd(rd(unit,B),op_c)))
% Rule [380]
% mult(rd(A,rd(op_c,rd(unit,op_c))),B) ->
% rd(mult(rd(A,op_c),rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),rd(unit,op_c)) is composed into
% [380]
% mult(rd(A,rd(op_c,rd(unit,op_c))),B) ->
% rd(mult(rd(A,op_c),B),rd(rd(unit,B),rd(rd(unit,B),op_c)))
% Rule [216]
% mult(rd(A,mult(op_c,B)),C) ->
% rd(mult(rd(A,B),rd(C,rd(rd(op_c,C),rd(rd(unit,C),op_c)))),rd(unit,op_c)) is composed into
% [216]
% mult(rd(A,mult(op_c,B)),C) ->
% rd(mult(rd(A,B),C),rd(rd(unit,C),rd(rd(unit,C),op_c)))
% Rule [122]
% mult(rd(A,op_c),B) ->
% rd(mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),rd(unit,op_c)) is composed into
% [122] mult(rd(A,op_c),B) -> rd(mult(A,B),rd(rd(unit,B),rd(rd(unit,B),op_c)))
% Rule [76]
% mult(rd(A,op_c),mult(B,C)) <->
% rd(mult(A,rd(mult(rd(B,op_c),mult(op_c,C)),rd(rd(op_c,mult(rd(B,op_c),
% mult(op_c,C))),
% rd(rd(unit,mult(rd(B,op_c),
% mult(op_c,C))),op_c)))),
% rd(unit,op_c)) is composed into [76]
% mult(rd(A,op_c),mult(B,C)) <->
% rd(mult(A,mult(rd(B,op_c),mult(op_c,C))),
% rd(rd(unit,mult(rd(B,op_c),mult(op_c,C))),
% rd(rd(unit,mult(rd(B,op_c),mult(op_c,C))),op_c)))
% New rule produced :
% [476]
% rd(mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c)))),rd(unit,op_c)) ->
% rd(mult(A,B),rd(rd(unit,B),rd(rd(unit,B),op_c)))
% Rule
% [460]
% rd(mult(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),rd(rd(op_c,rd(B,
% rd(rd(unit,B),
% rd(rd(unit,B),op_c)))),
% rd(rd(unit,rd(B,
% rd(rd(unit,B),
% rd(rd(unit,B),op_c)))),op_c)))),
% rd(unit,op_c)) ->
% rd(mult(A,rd(rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c))),rd(rd(op_c,rd(B,
% rd(rd(op_c,B),
% rd(rd(unit,B),op_c)))),
% rd(unit,rd(B,op_c))))),
% rd(unit,rd(op_c,rd(unit,op_c)))) collapsed.
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [477]
% rd(mult(A,mult(rd(op_c,A),mult(op_c,B))),rd(rd(unit,mult(rd(op_c,A),mult(op_c,B))),
% rd(rd(unit,mult(rd(op_c,A),mult(op_c,B))),op_c)))
% ->
% rd(mult(op_c,mult(A,mult(rd(op_c,A),B))),rd(rd(unit,mult(rd(op_c,A),B)),
% rd(rd(unit,mult(rd(op_c,A),B)),op_c)))
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [478] mult(A,mult(mult(rd(op_c,A),B),A)) -> mult(rd(A,rd(A,op_c)),mult(B,A))
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [479] rd(A,rd(mult(op_c,mult(B,C)),B)) <-> rd(rd(mult(A,B),C),mult(op_c,B))
% Current number of equations to process: 3187
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [480] rd(rd(mult(A,B),C),mult(op_c,B)) <-> rd(A,rd(mult(op_c,mult(B,C)),B))
% Current number of equations to process: 3187
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [481]
% rd(rd(A,mult(rd(mult(rd(op_c,B),C),rd(rd(unit,mult(rd(op_c,B),C)),rd(
% rd(unit,
% mult(
% rd(op_c,B),C)),op_c))),B)),B)
% -> rd(rd(A,B),C)
% Current number of equations to process: 3526
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [482] rd(rd(A,rd(rd(unit,B),rd(rd(unit,B),op_c))),B) -> rd(rd(A,B),op_c)
% Current number of equations to process: 3689
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [483] rd(rd(op_c,B),rd(mult(B,A),rd(B,op_c))) -> rd(rd(unit,A),B)
% Current number of equations to process: 3816
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [484] rd(rd(A,C),rd(C,mult(C,B))) <-> rd(rd(A,rd(op_c,B)),rd(C,op_c))
% Rule [295] rd(rd(rd(op_c,B),A),rd(A,mult(A,B))) -> rd(op_c,A) collapsed.
% Rule [296] rd(rd(rd(unit,B),A),rd(A,mult(A,B))) -> rd(unit,A) collapsed.
% Current number of equations to process: 3953
% Current number of ordered equations: 1
% Current number of rules: 320
% New rule produced :
% [485] rd(rd(A,rd(op_c,B)),rd(C,op_c)) <-> rd(rd(A,C),rd(C,mult(C,B)))
% Current number of equations to process: 3953
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [486] rd(rd(A,rd(unit,C)),B) <-> rd(rd(A,B),rd(B,mult(B,C)))
% Current number of equations to process: 4211
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [487] rd(rd(A,B),rd(B,mult(B,C))) <-> rd(rd(A,rd(unit,C)),B)
% Current number of equations to process: 4211
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [488]
% rd(A,rd(op_c,rd(rd(unit,op_c),B))) <-> rd(rd(A,op_c),rd(op_c,rd(unit,B)))
% Current number of equations to process: 4857
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [489]
% rd(rd(A,op_c),rd(op_c,rd(unit,B))) <-> rd(A,rd(op_c,rd(rd(unit,op_c),B)))
% Current number of equations to process: 4857
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [490]
% rd(rd(op_c,rd(unit,A)),rd(B,op_c)) <-> rd(rd(op_c,rd(rd(unit,op_c),A)),B)
% Current number of equations to process: 2261
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [491]
% rd(rd(op_c,rd(rd(unit,op_c),A)),B) <-> rd(rd(op_c,rd(unit,A)),rd(B,op_c))
% Current number of equations to process: 2261
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [492] rd(A,rd(mult(B,C),mult(B,V_3))) <-> rd(rd(mult(A,B),rd(C,V_3)),B)
% Current number of equations to process: 2561
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [493] rd(rd(mult(A,B),rd(C,V_3)),B) <-> rd(A,rd(mult(B,C),mult(B,V_3)))
% Current number of equations to process: 2561
% Current number of ordered equations: 0
% Current number of rules: 329
% Rule [326] mult(A,rd(B,rd(B,op_c))) -> rd(mult(A,B),rd(B,op_c)) is composed into
% [326] mult(A,rd(B,rd(B,op_c))) -> rd(A,rd(B,rd(B,rd(unit,op_c))))
% Rule [301] mult(op_c,A) <-> rd(mult(A,rd(unit,A)),rd(rd(unit,A),op_c)) is composed into
% [301] mult(op_c,A) -> rd(A,rd(rd(unit,A),rd(rd(unit,A),rd(unit,op_c))))
% New rule produced :
% [494] rd(mult(A,B),rd(B,op_c)) -> rd(A,rd(B,rd(B,rd(unit,op_c))))
% Rule [302] rd(mult(A,rd(unit,A)),rd(rd(unit,A),op_c)) <-> mult(op_c,A)
% collapsed.
% Rule [333] rd(mult(op_c,A),rd(A,op_c)) -> rd(op_c,rd(A,rd(A,rd(unit,op_c))))
% collapsed.
% Rule
% [381]
% rd(mult(mult(A,B),rd(unit,B)),rd(rd(unit,B),op_c)) -> mult(A,mult(op_c,B))
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% rd(rd(mult(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(rd(mult(rd(op_c,c),
% rd(mult(mult(a,b),c),
% mult(a,mult(b,c)))),
% rd(rd(unit,mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),
% rd(rd(unit,mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),op_c))),c)),
% mult(rd(mult(rd(op_c,c),mult(a,mult(b,c))),rd(rd(unit,mult(rd(op_c,c),
% mult(a,mult(b,c)))),
% rd(rd(unit,mult(rd(op_c,c),
% mult(a,mult(b,c)))),op_c))),c)),
% rd(rd(unit,mult(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(rd(mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),
% rd(rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),op_c))),c)),
% mult(rd(mult(rd(op_c,c),mult(a,mult(b,c))),rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),op_c))),c))),
% rd(rd(unit,mult(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(rd(mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),
% rd(rd(unit,
% mult(
% rd(op_c,c),
% rd(
% mult(
% mult(a,b),c),
% mult(a,
% mult(b,c))))),op_c))),c)),
% mult(rd(mult(rd(op_c,c),mult(a,mult(b,c))),rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),op_c))),c))),op_c))),
% rd(c,rd(mult(rd(op_c,c),rd(c,rd(unit,rd(rd(unit,c),rd(rd(unit,c),op_c))))),
% rd(rd(unit,mult(rd(op_c,c),rd(c,rd(unit,rd(rd(unit,c),rd(rd(unit,c),op_c)))))),
% rd(rd(unit,mult(rd(op_c,c),rd(c,rd(unit,rd(rd(unit,c),rd(rd(unit,c),op_c)))))),op_c))))) =
% mult(mult(rd(op_c,mult(a,mult(b,c))),rd(mult(mult(a,b),c),mult(a,mult(b,c)))),
% mult(a,mult(b,c)))
%
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [495]
% rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))),rd(mult(B,C),B)) <->
% rd(rd(rd(mult(A,B),rd(unit,rd(rd(unit,mult(A,B)),rd(rd(unit,mult(A,B)),op_c)))),C),B)
% Current number of equations to process: 3331
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [496]
% rd(rd(rd(mult(A,B),rd(unit,rd(rd(unit,mult(A,B)),rd(rd(unit,mult(A,B)),op_c)))),C),B)
% <-> rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))),rd(mult(B,C),B))
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [497] rd(rd(rd(mult(A,B),op_c),C),B) <-> rd(A,rd(mult(B,C),rd(B,op_c)))
% Current number of equations to process: 3659
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [498] rd(A,rd(mult(B,C),rd(B,op_c))) <-> rd(rd(rd(mult(A,B),op_c),C),B)
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [499]
% rd(A,rd(rd(mult(B,C),rd(op_c,rd(rd(unit,mult(B,C)),rd(rd(op_c,mult(B,C)),op_c)))),
% rd(B,rd(op_c,rd(unit,op_c))))) <-> rd(rd(rd(mult(A,B),C),B),op_c)
% Current number of equations to process: 4019
% Current number of ordered equations: 1
% Current number of rules: 332
% New rule produced :
% [500]
% rd(rd(rd(mult(A,B),C),B),op_c) <->
% rd(A,rd(rd(mult(B,C),rd(op_c,rd(rd(unit,mult(B,C)),rd(rd(op_c,mult(B,C)),op_c)))),
% rd(B,rd(op_c,rd(unit,op_c)))))
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [501]
% rd(A,rd(rd(mult(B,C),rd(rd(unit,C),rd(rd(unit,C),op_c))),B)) <->
% rd(rd(mult(A,B),C),rd(B,op_c))
% Current number of equations to process: 4525
% Current number of ordered equations: 1
% Current number of rules: 334
% New rule produced :
% [502]
% rd(rd(mult(A,B),C),rd(B,op_c)) <->
% rd(A,rd(rd(mult(B,C),rd(rd(unit,C),rd(rd(unit,C),op_c))),B))
% Current number of equations to process: 4525
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced : [503] rd(rd(op_c,rd(mult(A,B),A)),rd(rd(A,B),A)) -> op_c
% Current number of equations to process: 1192
% Current number of ordered equations: 1
% Current number of rules: 336
% New rule produced :
% [504]
% rd(rd(rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))),B),A),rd(rd(A,B),A))
% -> op_c
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [505]
% rd(A,rd(mult(B,C),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))))) <->
% rd(rd(mult(A,rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))),C),B)
% Current number of equations to process: 1475
% Current number of ordered equations: 1
% Current number of rules: 338
% New rule produced :
% [506]
% rd(rd(mult(A,rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))),C),B) <->
% rd(A,rd(mult(B,C),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))))
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [507]
% rd(A,rd(rd(mult(B,C),rd(op_c,rd(rd(unit,mult(B,C)),rd(rd(op_c,mult(B,C)),op_c)))),
% rd(B,rd(op_c,rd(unit,op_c))))) <->
% rd(rd(mult(A,B),C),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))))
% Current number of equations to process: 1960
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [508]
% rd(rd(mult(A,B),C),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))) <->
% rd(A,rd(rd(mult(B,C),rd(op_c,rd(rd(unit,mult(B,C)),rd(rd(op_c,mult(B,C)),op_c)))),
% rd(B,rd(op_c,rd(unit,op_c)))))
% Current number of equations to process: 1960
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [509]
% rd(rd(mult(A,B),C),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))) <->
% rd(rd(A,rd(mult(B,C),B)),op_c)
% Current number of equations to process: 2465
% Current number of ordered equations: 1
% Current number of rules: 342
% New rule produced :
% [510]
% rd(rd(A,rd(mult(B,C),B)),op_c) <->
% rd(rd(mult(A,B),C),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))))
% Current number of equations to process: 2465
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [511] rd(mult(A,B),rd(mult(C,B),C)) <-> rd(mult(A,rd(mult(B,C),B)),C)
% Current number of equations to process: 2825
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [512] rd(mult(A,rd(mult(B,C),B)),C) <-> rd(mult(A,B),rd(mult(C,B),C))
% Current number of equations to process: 2825
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [513]
% rd(mult(A,B),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),rd(rd(op_c,rd(unit,B)),
% rd(unit,rd(op_c,B))))))))
% -> rd(rd(A,rd(B,rd(B,op_c))),op_c)
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [514]
% rd(rd(mult(A,mult(rd(op_c,A),rd(B,A))),rd(rd(unit,mult(rd(op_c,A),rd(B,A))),
% rd(rd(unit,mult(rd(op_c,A),rd(B,A))),op_c))),A)
% -> rd(B,mult(A,A))
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [515]
% mult(mult(A,rd(unit,A)),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))) ->
% rd(mult(mult(A,rd(unit,A)),B),rd(unit,rd(rd(unit,mult(mult(A,rd(unit,A)),B)),
% rd(rd(unit,mult(mult(A,rd(unit,A)),B)),op_c))))
% Current number of equations to process: 3577
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [516] rd(mult(A,rd(unit,A)),rd(mult(A,rd(unit,A)),op_c)) -> op_c
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [517]
% rd(mult(A,mult(B,rd(unit,B))),rd(rd(unit,mult(B,rd(unit,B))),rd(rd(unit,
% mult(B,
% rd(unit,B))),op_c)))
% -> rd(mult(A,mult(B,rd(unit,B))),op_c)
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [518] rd(rd(A,mult(B,rd(unit,B))),op_c) -> rd(rd(A,op_c),mult(B,rd(unit,B)))
% Rule
% [311] rd(rd(op_c,mult(A,rd(unit,A))),op_c) -> rd(unit,mult(A,rd(unit,A)))
% collapsed.
% Rule
% [517]
% rd(mult(A,mult(B,rd(unit,B))),rd(rd(unit,mult(B,rd(unit,B))),rd(rd(unit,
% mult(B,
% rd(unit,B))),op_c)))
% -> rd(mult(A,mult(B,rd(unit,B))),op_c) collapsed.
% Current number of equations to process: 3912
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [519] rd(A,mult(A,rd(mult(B,C),B))) -> rd(mult(A,rd(B,C)),mult(A,B))
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [520]
% rd(rd(op_c,rd(mult(A,B),A)),op_c) ->
% rd(rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))),B),rd(A,rd(unit,
% rd(rd(unit,A),
% rd(rd(unit,A),op_c)))))
% Current number of equations to process: 4192
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [521] rd(A,rd(op_c,rd(mult(B,C),B))) <-> rd(rd(A,rd(rd(B,C),B)),op_c)
% Current number of equations to process: 4301
% Current number of ordered equations: 1
% Current number of rules: 352
% New rule produced :
% [522] rd(rd(A,rd(rd(B,C),B)),op_c) <-> rd(A,rd(op_c,rd(mult(B,C),B)))
% Current number of equations to process: 4301
% Current number of ordered equations: 0
% Current number of rules: 353
% Rule [467]
% rd(rd(A,rd(rd(op_c,A),rd(rd(unit,A),op_c))),mult(A,rd(A,rd(rd(op_c,A),
% rd(rd(unit,A),op_c)))))
% -> rd(A,mult(A,A)) is composed into [467]
% rd(rd(A,rd(rd(op_c,A),rd(rd(unit,A),op_c))),
% mult(A,rd(A,rd(rd(op_c,A),rd(
% rd(unit,A),op_c)))))
% ->
% rd(rd(A,rd(op_c,rd(unit,A))),
% rd(A,op_c))
% Rule [160] rd(mult(op_c,A),mult(A,mult(op_c,A))) -> rd(A,mult(A,A)) is composed into
% [160]
% rd(mult(op_c,A),mult(A,mult(op_c,A))) ->
% rd(rd(A,rd(op_c,rd(unit,A))),rd(A,op_c))
% New rule produced :
% [523] rd(A,mult(A,A)) -> rd(rd(A,rd(op_c,rd(unit,A))),rd(A,op_c))
% Rule
% [437]
% rd(rd(A,mult(A,A)),rd(rd(A,rd(rd(unit,A),rd(rd(unit,A),op_c))),mult(A,A))) ->
% op_c collapsed.
% Rule
% [438]
% mult(A,rd(rd(B,mult(B,B)),rd(rd(rd(B,rd(op_c,B)),rd(B,op_c)),rd(rd(rd(B,
% rd(op_c,B)),
% rd(B,op_c)),op_c))))
% -> mult(A,rd(rd(B,rd(rd(unit,B),rd(rd(unit,B),op_c))),mult(B,B))) collapsed.
% Current number of equations to process: 4757
% Current number of ordered equations: 0
% Current number of rules: 352
% Rule [268] rd(mult(op_c,A),mult(A,A)) <-> rd(mult(A,rd(unit,A)),rd(A,op_c)) is composed into
% [268] rd(mult(op_c,A),mult(A,A)) -> rd(rd(A,rd(unit,rd(unit,A))),rd(A,op_c))
% New rule produced : [524] mult(A,rd(unit,A)) -> rd(A,rd(unit,rd(unit,A)))
% Rule [269] rd(mult(A,rd(unit,A)),rd(A,op_c)) <-> rd(mult(op_c,A),mult(A,A))
% collapsed.
% Rule
% [289] mult(op_c,mult(A,rd(unit,A))) -> rd(mult(A,rd(unit,A)),rd(unit,op_c))
% collapsed.
% Rule
% [515]
% mult(mult(A,rd(unit,A)),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))) ->
% rd(mult(mult(A,rd(unit,A)),B),rd(unit,rd(rd(unit,mult(mult(A,rd(unit,A)),B)),
% rd(rd(unit,mult(mult(A,rd(unit,A)),B)),op_c))))
% collapsed.
% Rule [516] rd(mult(A,rd(unit,A)),rd(mult(A,rd(unit,A)),op_c)) -> op_c
% collapsed.
% Rule
% [518] rd(rd(A,mult(B,rd(unit,B))),op_c) -> rd(rd(A,op_c),mult(B,rd(unit,B)))
% collapsed.
% Current number of equations to process: 4769
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced : [525] mult(A,rd(op_c,A)) -> rd(A,rd(unit,rd(op_c,A)))
% Current number of equations to process: 4864
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [526] mult(A,rd(op_c,rd(A,rd(unit,op_c)))) -> rd(A,rd(unit,rd(unit,A)))
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [527]
% rd(unit,rd(mult(A,B),mult(B,B))) <->
% rd(rd(B,rd(mult(rd(op_c,B),A),rd(rd(unit,mult(rd(op_c,B),A)),rd(rd(unit,
% mult(
% rd(op_c,B),A)),op_c)))),B)
% Current number of equations to process: 706
% Current number of ordered equations: 1
% Current number of rules: 351
% New rule produced :
% [528]
% rd(rd(B,rd(mult(rd(op_c,B),A),rd(rd(unit,mult(rd(op_c,B),A)),rd(rd(unit,
% mult(
% rd(op_c,B),A)),op_c)))),B)
% <-> rd(unit,rd(mult(A,B),mult(B,B)))
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [529] rd(rd(A,rd(B,rd(B,rd(unit,op_c)))),B) -> rd(A,rd(B,rd(B,rd(B,op_c))))
% Current number of equations to process: 1046
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [530] rd(rd(A,rd(B,rd(B,op_c))),B) -> rd(A,rd(B,rd(B,rd(B,rd(unit,op_c)))))
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [531] rd(op_c,mult(rd(A,rd(B,rd(B,rd(unit,op_c)))),B)) -> rd(unit,mult(A,B))
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [532]
% rd(rd(A,rd(unit,rd(unit,A))),rd(rd(op_c,A),op_c)) ->
% rd(A,rd(unit,rd(rd(unit,A),rd(rd(op_c,A),op_c))))
% Current number of equations to process: 1385
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [533] rd(rd(rd(A,rd(unit,rd(unit,A))),rd(rd(unit,A),op_c)),A) -> op_c
% Current number of equations to process: 1484
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [534]
% rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(op_c,A),op_c)))),rd(unit,rd(unit,
% rd(rd(unit,A),
% rd(rd(op_c,A),op_c)))))
% -> A
% Current number of equations to process: 1589
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [535]
% rd(rd(op_c,rd(rd(A,B),C)),op_c) <->
% rd(op_c,rd(rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))),B),C))
% Current number of equations to process: 1717
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [536]
% rd(op_c,rd(rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))),B),C)) <->
% rd(rd(op_c,rd(rd(A,B),C)),op_c)
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [537]
% rd(op_c,rd(mult(A,B),mult(A,C))) <->
% rd(rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))),rd(B,C)),A)
% Current number of equations to process: 2347
% Current number of ordered equations: 1
% Current number of rules: 361
% New rule produced :
% [538]
% rd(rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))),rd(B,C)),A) <->
% rd(op_c,rd(mult(A,B),mult(A,C)))
% Current number of equations to process: 2347
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [539]
% mult(A,rd(op_c,rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))),C))) ->
% rd(mult(A,rd(op_c,rd(B,C))),op_c)
% Current number of equations to process: 2835
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [540]
% rd(rd(A,rd(op_c,rd(rd(unit,A),rd(rd(op_c,A),op_c)))),rd(A,rd(op_c,rd(
% rd(unit,A),
% rd(
% rd(op_c,
% rd(A,op_c)),op_c)))))
% -> rd(op_c,rd(op_c,rd(A,rd(A,op_c))))
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [541]
% mult(A,rd(unit,rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))),C))) ->
% rd(mult(A,rd(unit,rd(B,C))),op_c)
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [542]
% rd(op_c,rd(mult(A,B),rd(A,op_c))) ->
% rd(rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(op_c,A),op_c)))),B),A)
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [543]
% rd(op_c,rd(rd(mult(A,B),rd(rd(unit,B),rd(rd(unit,B),op_c))),A)) ->
% rd(rd(rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))),B),rd(A,op_c))
% Current number of equations to process: 3453
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [544]
% rd(unit,rd(unit,rd(A,rd(unit,rd(unit,A))))) ->
% rd(op_c,rd(op_c,rd(A,rd(unit,rd(unit,A)))))
% Current number of equations to process: 3658
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [545] rd(op_c,mult(rd(op_c,B),mult(B,A))) -> rd(rd(rd(op_c,A),B),rd(op_c,B))
% Current number of equations to process: 3741
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [546]
% rd(rd(op_c,rd(mult(rd(op_c,A),rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c))))),
% rd(rd(unit,mult(rd(op_c,A),rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))))),
% rd(rd(unit,mult(rd(op_c,A),rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))))),op_c)))),A)
% -> rd(rd(op_c,A),op_c)
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [547] rd(rd(op_c,A),rd(A,rd(A,rd(unit,op_c)))) -> rd(op_c,rd(A,op_c))
% Current number of equations to process: 4154
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [548] rd(rd(unit,A),rd(op_c,rd(A,rd(A,op_c)))) -> rd(rd(op_c,A),op_c)
% Current number of equations to process: 4210
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [549]
% rd(unit,rd(mult(rd(op_c,B),mult(B,A)),rd(rd(unit,mult(rd(op_c,B),mult(B,A))),
% rd(rd(unit,mult(rd(op_c,B),mult(B,A))),op_c))))
% -> rd(rd(rd(unit,A),B),rd(unit,B))
% Current number of equations to process: 4312
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [550]
% rd(rd(unit,A),rd(rd(unit,rd(op_c,A)),rd(unit,rd(op_c,rd(A,op_c))))) ->
% rd(rd(unit,op_c),A)
% Current number of equations to process: 4528
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [551]
% rd(rd(unit,rd(mult(rd(op_c,A),rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c))))),
% rd(rd(unit,mult(rd(op_c,A),rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))))),
% rd(rd(unit,mult(rd(op_c,A),rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))))),op_c)))),A)
% -> rd(rd(unit,A),op_c)
% Current number of equations to process: 4594
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [552]
% rd(A,rd(unit,rd(rd(unit,op_c),B))) <-> rd(rd(A,op_c),rd(unit,rd(unit,B)))
% Current number of equations to process: 4844
% Current number of ordered equations: 1
% Current number of rules: 376
% New rule produced :
% [553]
% rd(rd(A,op_c),rd(unit,rd(unit,B))) <-> rd(A,rd(unit,rd(rd(unit,op_c),B)))
% Current number of equations to process: 4844
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [554]
% rd(rd(unit,rd(rd(unit,op_c),A)),B) <-> rd(rd(unit,rd(unit,A)),rd(B,op_c))
% Current number of equations to process: 863
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [555]
% rd(rd(unit,rd(unit,A)),rd(B,op_c)) <-> rd(rd(unit,rd(rd(unit,op_c),A)),B)
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [556]
% rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))),mult(rd(mult(rd(op_c,B),A),
% rd(rd(unit,
% mult(rd(op_c,B),A)),
% rd(rd(unit,
% mult(rd(op_c,B),A)),op_c))),B))
% -> mult(rd(op_c,A),B)
% Current number of equations to process: 1123
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [557]
% mult(rd(mult(rd(op_c,A),B),rd(rd(unit,mult(rd(op_c,A),B)),rd(rd(unit,
% mult(rd(op_c,A),B)),op_c))),
% mult(rd(mult(rd(op_c,B),A),rd(rd(unit,mult(rd(op_c,B),A)),rd(rd(unit,
% mult(rd(op_c,B),A)),op_c))),B))
% -> B
% Current number of equations to process: 1303
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [558] mult(rd(op_c,rd(op_c,rd(unit,A))),rd(op_c,A)) -> rd(rd(op_c,A),A)
% Current number of equations to process: 1518
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [559]
% rd(mult(A,B),rd(mult(A,B),op_c)) -> rd(rd(A,rd(B,rd(B,rd(unit,op_c)))),A)
% Current number of equations to process: 1627
% Current number of ordered equations: 0
% Current number of rules: 383
% Rule [559]
% rd(mult(A,B),rd(mult(A,B),op_c)) ->
% rd(rd(A,rd(B,rd(B,rd(unit,op_c)))),A) is composed into [559]
% rd(mult(A,B),
% rd(mult(A,B),op_c))
% ->
% rd(A,rd(A,
% rd(B,
% rd(B,op_c))))
% New rule produced :
% [560] rd(rd(A,rd(B,rd(B,rd(unit,op_c)))),A) -> rd(A,rd(A,rd(B,rd(B,op_c))))
% Current number of equations to process: 1749
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [561] rd(rd(rd(A,rd(unit,op_c)),B),rd(A,B)) -> rd(A,rd(A,op_c))
% Rule [142] rd(rd(rd(op_c,rd(unit,op_c)),A),rd(op_c,A)) -> op_c collapsed.
% Current number of equations to process: 1969
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [562] rd(rd(A,B),rd(A,rd(B,rd(unit,op_c)))) -> rd(A,rd(A,op_c))
% Rule [163] rd(rd(op_c,A),rd(op_c,rd(A,rd(unit,op_c)))) -> op_c collapsed.
% Rule [164] rd(rd(unit,A),rd(unit,rd(A,rd(unit,op_c)))) -> op_c collapsed.
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [563] rd(rd(op_c,A),rd(unit,rd(A,rd(A,op_c)))) -> rd(op_c,rd(A,op_c))
% Current number of equations to process: 2326
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [564]
% mult(rd(rd(op_c,rd(A,op_c)),B),C) ->
% rd(mult(rd(rd(op_c,A),B),C),rd(unit,rd(rd(unit,mult(rd(rd(op_c,A),B),C)),
% rd(rd(unit,mult(rd(rd(op_c,A),B),C)),op_c))))
% Rule
% [221] mult(rd(rd(op_c,rd(unit,op_c)),A),B) -> mult(op_c,mult(rd(op_c,A),B))
% collapsed.
% Current number of equations to process: 2415
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [565] rd(rd(A,rd(rd(op_c,B),C)),op_c) -> rd(A,rd(rd(op_c,rd(B,op_c)),C))
% Rule
% [450]
% rd(rd(A,rd(rd(op_c,B),op_c)),op_c) -> rd(A,rd(rd(op_c,rd(B,op_c)),op_c))
% collapsed.
% Current number of equations to process: 2596
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [566] rd(unit,rd(A,rd(rd(op_c,B),C))) <-> rd(op_c,rd(A,rd(rd(unit,B),C)))
% Rule
% [453]
% rd(unit,rd(A,rd(rd(op_c,B),op_c))) <-> rd(op_c,rd(A,rd(rd(unit,B),op_c)))
% collapsed.
% Current number of equations to process: 2856
% Current number of ordered equations: 1
% Current number of rules: 384
% New rule produced :
% [567] rd(op_c,rd(A,rd(rd(unit,B),C))) <-> rd(unit,rd(A,rd(rd(op_c,B),C)))
% Rule
% [454]
% rd(op_c,rd(A,rd(rd(unit,B),op_c))) <-> rd(unit,rd(A,rd(rd(op_c,B),op_c)))
% collapsed.
% Rule
% [546]
% rd(rd(op_c,rd(mult(rd(op_c,A),rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c))))),
% rd(rd(unit,mult(rd(op_c,A),rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))))),
% rd(rd(unit,mult(rd(op_c,A),rd(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))))),op_c)))),A)
% -> rd(rd(op_c,A),op_c) collapsed.
% Current number of equations to process: 2857
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [568]
% rd(A,rd(rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))),C),op_c)) <->
% rd(rd(A,rd(rd(B,C),op_c)),op_c)
% Current number of equations to process: 3325
% Current number of ordered equations: 1
% Current number of rules: 384
% New rule produced :
% [569]
% rd(rd(A,rd(rd(B,C),op_c)),op_c) <->
% rd(A,rd(rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))),C),op_c))
% Current number of equations to process: 3325
% Current number of ordered equations: 0
% Current number of rules: 385
% Rule [431] rd(unit,rd(rd(unit,op_c),A)) <-> rd(rd(A,rd(A,op_c)),rd(unit,A)) is composed into
% [431] rd(unit,rd(rd(unit,op_c),A)) <-> rd(unit,rd(unit,rd(A,rd(unit,op_c))))
% New rule produced :
% [570]
% rd(rd(A,rd(A,op_c)),rd(unit,A)) -> rd(unit,rd(unit,rd(A,rd(unit,op_c))))
% Rule [432] rd(rd(A,rd(A,op_c)),rd(unit,A)) <-> rd(unit,rd(rd(unit,op_c),A))
% collapsed.
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [571] rd(rd(A,rd(A,op_c)),rd(op_c,rd(A,op_c))) -> rd(unit,rd(op_c,A))
% Current number of equations to process: 3887
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [572] rd(rd(A,rd(op_c,A)),rd(unit,rd(op_c,A))) -> rd(unit,rd(unit,A))
% Current number of equations to process: 3948
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [573] rd(A,mult(rd(A,rd(A,op_c)),B)) -> rd(rd(A,B),rd(A,rd(A,op_c)))
% Current number of equations to process: 4024
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [574]
% mult(A,mult(rd(op_c,B),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))))
% <-> mult(rd(A,rd(B,op_c)),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))))
% Current number of equations to process: 4136
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [575]
% mult(rd(A,rd(B,op_c)),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))) <->
% mult(A,mult(rd(op_c,B),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c))))))
% Current number of equations to process: 4136
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [576]
% mult(B,mult(rd(mult(rd(op_c,B),A),rd(rd(unit,mult(rd(op_c,B),A)),rd(rd(unit,
% mult(
% rd(op_c,B),A)),op_c))),
% rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))))) ->
% mult(A,rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))))
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [577]
% rd(mult(A,B),rd(mult(A,B),rd(rd(unit,B),rd(rd(unit,B),op_c)))) ->
% rd(A,rd(A,op_c))
% Current number of equations to process: 4676
% Current number of ordered equations: 0
% Current number of rules: 392
% Rule [466]
% rd(rd(A,op_c),mult(A,rd(B,rd(rd(op_c,B),rd(rd(unit,B),op_c))))) ->
% rd(mult(A,rd(unit,B)),rd(A,op_c)) is composed into [466]
% rd(rd(A,op_c),
% mult(A,rd(B,rd(
% rd(op_c,B),
% rd(
% rd(unit,B),op_c)))))
% ->
% rd(A,rd(mult(A,B),
% rd(rd(unit,B),
% rd(rd(unit,B),op_c))))
% Rule [236] rd(A,mult(rd(A,op_c),B)) -> rd(mult(A,rd(unit,B)),rd(A,op_c)) is composed into
% [236]
% rd(A,mult(rd(A,op_c),B)) ->
% rd(A,rd(mult(A,B),rd(rd(unit,B),rd(rd(unit,B),op_c))))
% New rule produced :
% [578]
% rd(mult(A,rd(unit,B)),rd(A,op_c)) ->
% rd(A,rd(mult(A,B),rd(rd(unit,B),rd(rd(unit,B),op_c))))
% Current number of equations to process: 4837
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [579] mult(rd(A,B),rd(B,rd(B,rd(unit,op_c)))) -> rd(rd(A,op_c),B)
% Rule [328] mult(rd(op_c,A),rd(A,rd(A,rd(unit,op_c)))) -> rd(unit,A)
% collapsed.
% Current number of equations to process: 4974
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [580] mult(A,rd(B,rd(B,rd(unit,op_c)))) -> rd(A,rd(B,rd(B,op_c)))
% Rule [579] mult(rd(A,B),rd(B,rd(B,rd(unit,op_c)))) -> rd(rd(A,op_c),B)
% collapsed.
% Current number of equations to process: 689
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [581] mult(A,rd(unit,rd(B,rd(B,op_c)))) -> rd(A,rd(B,rd(B,op_c)))
% Rule [340] mult(rd(op_c,A),rd(unit,rd(A,rd(A,op_c)))) -> rd(unit,A)
% collapsed.
% Rule
% [424]
% mult(A,rd(unit,rd(rd(unit,A),rd(rd(unit,A),op_c)))) ->
% rd(A,rd(rd(unit,A),rd(rd(unit,A),op_c))) collapsed.
% Current number of equations to process: 749
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [582] rd(rd(A,rd(B,rd(B,rd(unit,op_c)))),rd(op_c,B)) -> rd(A,rd(unit,B))
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [583] rd(mult(A,rd(op_c,rd(B,rd(unit,op_c)))),rd(unit,B)) -> A
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [584] rd(op_c,mult(rd(op_c,A),mult(B,A))) -> rd(rd(rd(op_c,A),B),rd(op_c,A))
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [585] rd(mult(A,mult(B,A)),mult(A,B)) -> rd(mult(A,B),rd(mult(A,B),A))
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [586]
% rd(mult(rd(op_c,A),rd(mult(B,A),C)),rd(rd(unit,mult(rd(op_c,A),rd(mult(B,A),C))),
% rd(rd(unit,mult(rd(op_c,A),rd(mult(B,A),C))),op_c)))
% ->
% rd(rd(mult(rd(op_c,A),B),rd(rd(unit,mult(rd(op_c,A),B)),rd(rd(unit,mult(
% rd(op_c,A),B)),op_c))),
% rd(C,A))
% The conjecture has been reduced.
% Conjecture is now:
% rd(rd(mult(rd(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(rd(mult(rd(op_c,c),
% mult(a,b)),
% rd(mult(a,
% mult(b,c)),c)),c)),
% rd(rd(unit,mult(rd(mult(rd(op_c,c),mult(a,b)),rd(mult(a,mult(b,c)),c)),c)),
% rd(rd(unit,mult(rd(mult(rd(op_c,c),mult(a,b)),rd(mult(a,mult(b,c)),c)),c)),op_c))),
% mult(rd(mult(rd(op_c,c),mult(a,mult(b,c))),rd(rd(unit,mult(rd(op_c,c),
% mult(a,mult(b,c)))),
% rd(rd(unit,mult(rd(op_c,c),
% mult(a,mult(b,c)))),op_c))),c)),
% rd(rd(unit,mult(rd(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(rd(
% mult(
% rd(op_c,c),
% mult(a,b)),
% rd(
% mult(a,
% mult(b,c)),c)),c)),
% rd(rd(unit,mult(rd(mult(rd(op_c,c),mult(a,b)),rd(mult(a,
% mult(b,c)),c)),c)),
% rd(rd(unit,mult(rd(mult(rd(op_c,c),mult(a,b)),rd(mult(a,
% mult(b,c)),c)),c)),op_c))),
% mult(rd(mult(rd(op_c,c),mult(a,mult(b,c))),rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),op_c))),c))),
% rd(rd(unit,mult(rd(mult(mult(rd(op_c,mult(a,mult(b,c))),c),mult(rd(
% mult(
% rd(op_c,c),
% mult(a,b)),
% rd(
% mult(a,
% mult(b,c)),c)),c)),
% rd(rd(unit,mult(rd(mult(rd(op_c,c),mult(a,b)),rd(mult(a,
% mult(b,c)),c)),c)),
% rd(rd(unit,mult(rd(mult(rd(op_c,c),mult(a,b)),rd(mult(a,
% mult(b,c)),c)),c)),op_c))),
% mult(rd(mult(rd(op_c,c),mult(a,mult(b,c))),rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),
% rd(rd(unit,mult(
% rd(op_c,c),
% mult(a,
% mult(b,c)))),op_c))),c))),op_c))),
% rd(c,rd(mult(rd(op_c,c),rd(c,rd(unit,rd(rd(unit,c),rd(rd(unit,c),op_c))))),
% rd(rd(unit,mult(rd(op_c,c),rd(c,rd(unit,rd(rd(unit,c),rd(rd(unit,c),op_c)))))),
% rd(rd(unit,mult(rd(op_c,c),rd(c,rd(unit,rd(rd(unit,c),rd(rd(unit,c),op_c)))))),op_c))))) =
% mult(mult(rd(op_c,mult(a,mult(b,c))),rd(mult(mult(a,b),c),mult(a,mult(b,c)))),
% mult(a,mult(b,c)))
%
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [587]
% rd(mult(rd(op_c,A),mult(A,rd(unit,B))),rd(rd(unit,mult(rd(op_c,A),mult(A,
% rd(unit,B)))),
% rd(rd(unit,mult(rd(op_c,A),mult(A,
% rd(unit,B)))),op_c)))
% -> rd(rd(rd(unit,B),A),rd(unit,A))
% Current number of equations to process: 1669
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [588]
% rd(rd(A,rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))),C)),rd(unit,op_c))
% -> rd(A,rd(B,C))
% Current number of equations to process: 1874
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [589]
% rd(rd(mult(A,rd(unit,B)),rd(op_c,rd(rd(unit,mult(A,rd(unit,B))),rd(rd(op_c,
% mult(A,
% rd(unit,B))),op_c)))),
% rd(rd(op_c,B),rd(op_c,rd(unit,op_c)))) ->
% rd(A,rd(unit,rd(rd(unit,A),rd(rd(op_c,A),op_c))))
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [590]
% rd(mult(A,mult(rd(op_c,A),rd(rd(A,rd(op_c,rd(rd(unit,A),rd(rd(op_c,A),op_c)))),
% rd(unit,rd(rd(op_c,rd(A,op_c)),rd(rd(unit,A),op_c)))))),
% rd(rd(unit,mult(rd(op_c,A),rd(rd(A,rd(op_c,rd(rd(unit,A),rd(rd(op_c,A),op_c)))),
% rd(unit,rd(rd(op_c,rd(A,op_c)),rd(rd(unit,A),op_c)))))),
% rd(rd(unit,mult(rd(op_c,A),rd(rd(A,rd(op_c,rd(rd(unit,A),rd(rd(op_c,A),op_c)))),
% rd(unit,rd(rd(op_c,rd(A,op_c)),rd(rd(unit,A),op_c)))))),op_c)))
% ->
% rd(rd(A,rd(op_c,rd(rd(unit,A),rd(rd(op_c,A),op_c)))),rd(unit,rd(rd(op_c,
% rd(A,op_c)),
% rd(rd(unit,A),op_c))))
% Current number of equations to process: 2223
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [591]
% rd(A,rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(op_c,B),op_c)))),C)) <->
% rd(rd(A,rd(rd(B,op_c),C)),op_c)
% Current number of equations to process: 2390
% Current number of ordered equations: 1
% Current number of rules: 402
% New rule produced :
% [592]
% rd(rd(A,rd(rd(B,op_c),C)),op_c) <->
% rd(A,rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(op_c,B),op_c)))),C))
% Current number of equations to process: 2390
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [593]
% mult(rd(op_c,rd(mult(A,B),A)),C) ->
% rd(mult(rd(rd(A,B),A),C),rd(unit,rd(rd(unit,mult(rd(rd(A,B),A),C)),rd(
% rd(unit,
% mult(
% rd(
% rd(A,B),A),C)),op_c))))
% Current number of equations to process: 3066
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [594]
% rd(mult(rd(op_c,A),mult(A,rd(op_c,B))),rd(rd(unit,mult(rd(op_c,A),mult(A,
% rd(op_c,B)))),
% rd(rd(unit,mult(rd(op_c,A),mult(A,
% rd(op_c,B)))),op_c)))
% ->
% rd(unit,rd(mult(rd(op_c,A),mult(A,B)),rd(rd(rd(rd(op_c,B),A),rd(rd(op_c,A),
% rd(rd(unit,
% rd(op_c,A)),
% rd(unit,
% rd(op_c,
% rd(A,op_c)))))),
% rd(unit,mult(rd(op_c,A),mult(A,B))))))
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [595]
% rd(mult(A,mult(rd(op_c,A),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))))),
% rd(rd(unit,mult(rd(op_c,A),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))))),
% rd(rd(unit,mult(rd(op_c,A),rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))))),op_c)))
% ->
% rd(rd(mult(A,mult(rd(op_c,A),B)),rd(op_c,rd(rd(unit,mult(A,mult(rd(op_c,A),B))),
% rd(rd(op_c,mult(A,mult(rd(op_c,A),B))),op_c)))),
% rd(unit,rd(op_c,rd(rd(unit,mult(rd(op_c,A),B)),rd(rd(op_c,mult(rd(op_c,A),B)),op_c)))))
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [596]
% mult(A,rd(rd(unit,A),rd(B,op_c))) ->
% rd(mult(A,rd(rd(unit,A),B)),rd(unit,rd(rd(unit,mult(A,rd(rd(unit,A),B))),
% rd(rd(unit,mult(A,rd(rd(unit,A),B))),op_c))))
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [597]
% rd(op_c,mult(mult(rd(op_c,A),rd(unit,A)),A)) ->
% rd(A,rd(unit,rd(rd(unit,A),rd(rd(op_c,A),op_c))))
% Current number of equations to process: 3863
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [598]
% rd(A,rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))),rd(C,rd(unit,
% rd(rd(unit,C),
% rd(rd(unit,C),op_c))))))
% <-> rd(rd(A,rd(rd(B,C),op_c)),op_c)
% Current number of equations to process: 3992
% Current number of ordered equations: 1
% Current number of rules: 409
% New rule produced :
% [599]
% rd(rd(A,rd(rd(B,C),op_c)),op_c) <->
% rd(A,rd(rd(B,rd(unit,rd(rd(unit,B),rd(rd(unit,B),op_c)))),rd(C,rd(unit,
% rd(rd(unit,C),
% rd(rd(unit,C),op_c))))))
% Current number of equations to process: 3992
% Current numbeCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------