TSTP Solution File: GRP723-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP723-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n125.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:24:13 EDT 2014
% Result : Timeout 300.01s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP723-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n125.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Sat Jun 7 01:25:13 CDT 2014
% % CPUTime : 300.01
% Processing problem /tmp/CiME_26438_n125.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " mult : infix commutative; c,b,a,unit : constant; f : 2; ld : 2;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% A mult unit = A;
% unit mult A = A;
% A mult ld(A,B) = B;
% ld(A,A mult B) = B;
% ld(A mult B,A mult (B mult (C mult D))) = ld(A mult B,A mult (B mult C)) mult ld(A mult B,A mult (B mult D));
% ld(A,(B mult C) mult A) = ld(A,B mult A) mult ld(A,C mult A);
% A mult A = unit;
% f(A,B) = ld(B,ld(A mult B,B));
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% f lr_lex;
% ld lr_lex;
% unit lr_lex;
% mult mul;
% ";
%
% let p1 = precedence F "
% f > mult > ld > unit > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% f mul;
% ld mul;
% mult mul;
% unit mul;
% ";
%
% let p2 = precedence F "
% f > mult > ld > unit = a = b = c";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " f(a,f(b,c)) = f(f(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 = { unit mult A = A,
% unit mult A = A,
% ld(A,B) mult A = B,
% ld(A,A mult B) = B,
% ld(A mult B,((C mult D) mult B) mult A) =
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,
% (B mult D) mult A),
% ld(A,(B mult C) mult A) =
% ld(A,A mult B) mult ld(A,A mult C),
% A mult A = unit,
% f(A,B) = ld(B,ld(A mult B,B)) } (8 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { f(a,f(b,c)) = f(f(a,b),c) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] A mult A -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 1
% New rule produced : [2] unit mult A -> A
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 2
% New rule produced : [3] ld(A,B) mult A -> B
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 3
% New rule produced : [4] ld(A,A mult B) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 4
% New rule produced : [5] f(A,B) -> ld(B,ld(A mult B,B))
% The conjecture has been reduced.
% Conjecture is now:
% ld(ld(c,ld(c mult b,c)),ld(a mult ld(c,ld(c mult b,c)),ld(c,ld(c mult b,c)))) =
% ld(c,ld(c mult ld(b,ld(b mult a,b)),c))
%
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced :
% [6]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,(B mult D) mult A) <->
% ld(A mult B,((C mult D) mult B) mult A)
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 6
% New rule produced :
% [7]
% ld(A mult B,((C mult D) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,(B mult D) mult A)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 7
% New rule produced : [8] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 8
% New rule produced : [9] ld(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 9
% New rule produced : [10] ld(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced : [11] ld(ld(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% ((B mult C) mult A) mult A <-> ((A mult B) mult A) mult ((A mult C) mult A)
% Current number of equations to process: 5
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [13]
% ((A mult B) mult A) mult ((A mult C) mult A) <-> ((B mult C) mult A) mult A
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14]
% ld(A mult B,(B mult C) mult A) mult A <->
% ld(A mult B,((A mult C) mult B) mult A)
% Current number of equations to process: 11
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [15]
% ld(A mult B,((A mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult A
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% ld((A mult B) mult A,((B mult C) mult A) mult (A mult B)) ->
% (A mult B) mult (A mult C)
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17]
% ld(A mult B,(A mult C) mult B) mult ld(A mult B,B) <->
% ld(A mult B,((A mult C) mult A) mult B)
% Current number of equations to process: 9
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [18]
% ld(A mult B,((A mult C) mult A) mult B) <->
% ld(A mult B,(A mult C) mult B) mult ld(A mult B,B)
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% ld(A mult B,(A mult C) mult B) mult ld(A mult B,B mult D) <->
% ld(A mult B,((ld(A,D) mult C) mult A) mult B)
% Current number of equations to process: 8
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [20]
% ld(A mult B,((ld(A,D) mult C) mult A) mult B) <->
% ld(A mult B,(A mult C) mult B) mult ld(A mult B,B mult D)
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21] ((ld(C,B) mult A) mult A) mult ((A mult C) mult A) -> (A mult B) mult A
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22] (B mult C) mult A <-> ld(A,((A mult B) mult A) mult ((A mult C) mult A))
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [23] ld(A,((A mult B) mult A) mult ((A mult C) mult A)) <-> (B mult C) mult A
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24] ld((A mult B) mult C,((A mult C) mult C) mult ((B mult C) mult C)) -> C
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25] ((ld(A,C) mult B) mult A) mult A -> ((A mult B) mult A) mult (A mult C)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26] ld((A mult B) mult A,((B mult C) mult A) mult A) -> (A mult C) mult A
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27] ld(A mult B,((A mult B) mult A) mult B) -> ld(A mult B,B) mult B
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28]
% ld(A,(ld(B,A) mult C) mult B) mult B ->
% ld(A,((B mult C) mult ld(B,A)) mult B)
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29]
% ld(A,ld(A mult B,((A mult C) mult B) mult A)) ->
% ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30]
% ld(B,((ld(A,B) mult C) mult A) mult ld(A,B)) ->
% ld(A,B) mult ld(B,(A mult C) mult ld(A,B))
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [31]
% ld(A mult B,(ld(A,C) mult B) mult A) mult A -> ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32]
% (ld(A mult B,(B mult C) mult A) mult A) mult (A mult B) ->
% ((A mult C) mult B) mult A
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33]
% ((B mult C) mult A) mult (A mult B) <->
% ((A mult B) mult (A mult C)) mult ((A mult B) mult A)
% Current number of equations to process: 92
% Current number of ordered equations: 2
% Current number of rules: 33
% New rule produced :
% [34]
% ((A mult B) mult (A mult C)) mult ((A mult B) mult A) <->
% ((B mult C) mult A) mult (A mult B)
% Current number of equations to process: 92
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [35]
% (ld(A,C) mult B) mult (A mult B) ->
% ld((A mult B) mult B,(A mult B) mult (B mult C))
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [36]
% ld(ld(A,B) mult B,((A mult C) mult ld(A,B)) mult B) ->
% (ld(A,B) mult C) mult B
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [37]
% ld(A mult B,(((A mult C) mult A) mult B) mult A) <->
% (ld(A mult B,(B mult C) mult A) mult A) mult A
% Current number of equations to process: 90
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [38]
% (ld(A mult B,(B mult C) mult A) mult A) mult A <->
% ld(A mult B,(((A mult C) mult A) mult B) mult A)
% Current number of equations to process: 90
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [39]
% ((ld(A,B) mult C) mult ld(A,B)) mult (ld(A,B) mult B) ->
% ((A mult C) mult ld(A,B)) mult ld(A,B)
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [40]
% ld(ld(A,B) mult C,((A mult C) mult ld(A,B)) mult C) ->
% ld(ld(A,B) mult C,B mult C) mult C
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [41]
% ld(ld(A mult B,(B mult C) mult A) mult A,((A mult C) mult B) mult A) ->
% A mult B
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [42]
% ((A mult B) mult A) mult ((A mult B) mult B) ->
% ld(((A mult B) mult A) mult (A mult B),(A mult B) mult A)
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [43]
% ld((A mult B) mult (A mult C),((B mult C) mult A) mult (A mult B)) ->
% (A mult B) mult A
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [44]
% ld(A mult B,(A mult C) mult B) <-> ld(A mult B,B mult C) mult ld(A mult B,B)
% Rule
% [18]
% ld(A mult B,((A mult C) mult A) mult B) <->
% ld(A mult B,(A mult C) mult B) mult ld(A mult B,B) collapsed.
% Current number of equations to process: 126
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [45]
% ld(A mult B,B mult C) mult ld(A mult B,B) <-> ld(A mult B,(A mult C) mult B)
% Rule
% [17]
% ld(A mult B,(A mult C) mult B) mult ld(A mult B,B) <->
% ld(A mult B,((A mult C) mult A) mult B) collapsed.
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [46]
% ld(A,((ld(B,A) mult C) mult ld(B,A)) mult B) ->
% ld(A,(ld(B,A) mult C) mult B) mult ld(A,B)
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [47]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) ->
% ld(A,((B mult C) mult B) mult ld(B,A))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [48]
% (((A mult B) mult A) mult ((A mult C) mult A)) mult ((A mult D) mult A) <->
% (((B mult C) mult D) mult A) mult A
% Current number of equations to process: 131
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [49]
% (((B mult C) mult D) mult A) mult A <->
% (((A mult B) mult A) mult ((A mult C) mult A)) mult ((A mult D) mult A)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [50]
% ld(ld(A mult B,(B mult C) mult A),ld(A mult B,((A mult C) mult B) mult A)) ->
% A
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [51]
% ld((ld(A,B) mult C) mult C,(ld(A,B) mult C) mult (B mult C)) ->
% ld((A mult C) mult C,(A mult C) mult (B mult C))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [52]
% ld(ld(A mult B,B),ld(A mult B,((A mult C) mult A) mult B)) ->
% ld(A mult B,(A mult C) mult B)
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [53]
% ((((B mult C) mult A) mult D) mult D) mult ((A mult D) mult D) <->
% ((((A mult B) mult A) mult ((A mult C) mult A)) mult D) mult D
% Current number of equations to process: 127
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [54]
% ((((A mult B) mult A) mult ((A mult C) mult A)) mult D) mult D <->
% ((((B mult C) mult A) mult D) mult D) mult ((A mult D) mult D)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [55]
% ld(A,((ld(ld(B,A),D) mult C) mult ld(B,A)) mult B) ->
% ld(A,(ld(B,A) mult C) mult B) mult ld(A,B mult D)
% Current number of equations to process: 125
% Current number of ordered equations: 2
% Current number of rules: 53
% New rule produced :
% [56]
% ld(A mult B,((ld(A,C) mult ld(A,D)) mult A) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B mult D)
% Current number of equations to process: 125
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [57]
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) <->
% ld(A mult B,((ld(A,C) mult ld(A,D)) mult A) mult B)
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [58]
% ld(ld(A,B) mult C,(A mult C) mult ld(A,B)) mult ld(A,B) ->
% ld(ld(A,B) mult C,(B mult C) mult ld(A,B))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [59]
% ld(ld(A mult B,(A mult C) mult B),ld(A mult B,((A mult C) mult A) mult B)) ->
% ld(A mult B,B)
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [60]
% ld(A,((ld(B,D) mult C) mult B) mult ld(B,A)) <->
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A) mult D)
% Rule
% [30]
% ld(B,((ld(A,B) mult C) mult A) mult ld(A,B)) ->
% ld(A,B) mult ld(B,(A mult C) mult ld(A,B)) collapsed.
% Current number of equations to process: 121
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [61]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A) mult D) <->
% ld(A,((ld(B,D) mult C) mult B) mult ld(B,A))
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 58
% Rule [37]
% ld(A mult B,(((A mult C) mult A) mult B) mult A) <->
% (ld(A mult B,(B mult C) mult A) mult A) mult A is composed into
% [37]
% ld(A mult B,(((A mult C) mult A) mult B) mult A) <->
% ld(((A mult B) mult A) mult A,(((B mult C) mult A) mult A) mult A)
% New rule produced :
% [62] (ld(B,C) mult A) mult A -> ld((A mult B) mult A,(A mult C) mult A)
% Rule
% [21] ((ld(C,B) mult A) mult A) mult ((A mult C) mult A) -> (A mult B) mult A
% collapsed.
% Rule
% [38]
% (ld(A mult B,(B mult C) mult A) mult A) mult A <->
% ld(A mult B,(((A mult C) mult A) mult B) mult A) collapsed.
% Rule
% [51]
% ld((ld(A,B) mult C) mult C,(ld(A,B) mult C) mult (B mult C)) ->
% ld((A mult C) mult C,(A mult C) mult (B mult C)) collapsed.
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [63] ld(A,ld(A,((A mult B) mult A) mult ((A mult C) mult A))) -> B mult C
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [64] ld(A mult B,ld(C,((A mult C) mult C) mult ((B mult C) mult C))) -> C
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [65] ld(A,((A mult B) mult A) mult (A mult C)) <-> (ld(A,C) mult B) mult A
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [66] (ld(A,C) mult B) mult A <-> ld(A,((A mult B) mult A) mult (A mult C))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [67] ld((ld(A,B) mult C) mult A,((A mult C) mult A) mult (A mult B)) -> A
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [68]
% ((A mult B) mult B) mult (A mult B) <->
% ld(((A mult B) mult A) mult (A mult B),A mult B)
% Current number of equations to process: 360
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [69]
% ld(((A mult B) mult A) mult (A mult B),A mult B) <->
% ((A mult B) mult B) mult (A mult B)
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [70] ld(A,(ld(B,A) mult A) mult B) -> ld(A,B) mult B
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [71] ld(A,(A mult B) mult ld(B,A)) -> ld(A,ld(B,A)) mult ld(B,A)
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [72] (ld(A mult B,B) mult B) mult (A mult B) -> ((A mult B) mult A) mult B
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [73] ld(ld(A mult B,B) mult B,((A mult B) mult A) mult B) -> A mult B
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [74]
% ld(A mult B,(((A mult B) mult A) mult B) mult A) ->
% ld(((A mult B) mult A) mult A,A)
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [75]
% ld(A,ld(B,((A mult C) mult ld(A,B)) mult A)) -> ld(B,(ld(A,B) mult C) mult A)
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [76]
% ld(A mult B,(ld(A,C) mult B) mult A) -> ld(A,ld(A mult B,(B mult C) mult A))
% Rule
% [31]
% ld(A mult B,(ld(A,C) mult B) mult A) mult A -> ld(A mult B,(B mult C) mult A)
% collapsed.
% Current number of equations to process: 497
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [77]
% ld((A mult B) mult A,((A mult B) mult B) mult A) ->
% ld(A,ld((A mult B) mult A,A))
% Current number of equations to process: 496
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [78]
% (((ld(A,C) mult B) mult D) mult A) mult A ->
% (((A mult B) mult A) mult (A mult C)) mult ((A mult D) mult A)
% Current number of equations to process: 495
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [79]
% ld(A,ld(B,((B mult C) mult B) mult (A mult B))) mult B ->
% ld(A,((B mult C) mult ld(B,A)) mult B)
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [80]
% (((ld(A,C) mult B) mult A) mult C) mult ((A mult C) mult C) ->
% (((A mult B) mult ld(A,C)) mult A) mult C
% Current number of equations to process: 493
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [81]
% ((ld(A,C) mult B) mult A) mult B ->
% (ld(A mult B,B mult C) mult B) mult (A mult B)
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [82]
% (ld(A,B) mult ld(B,(A mult C) mult ld(A,B))) mult B ->
% ((ld(A,B) mult C) mult A) mult ld(A,B)
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [83]
% (A mult B) mult ld(((A mult B) mult B) mult B,B) <->
% (((A mult B) mult B) mult A) mult B
% Current number of equations to process: 642
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [84]
% (((A mult B) mult B) mult A) mult B <->
% (A mult B) mult ld(((A mult B) mult B) mult B,B)
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [85] ((ld(A,B) mult C) mult A) mult B -> ((A mult C) mult B) mult (A mult B)
% Rule
% [80]
% (((ld(A,C) mult B) mult A) mult C) mult ((A mult C) mult C) ->
% (((A mult B) mult ld(A,C)) mult A) mult C collapsed.
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [86]
% ((ld(A,C) mult B) mult C) mult (ld(A,C) mult C) ->
% ((A mult B) mult ld(A,C)) mult C
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [87]
% ld(A mult B,((A mult B) mult (A mult C)) mult ((A mult B) mult A)) ->
% (B mult C) mult A
% Current number of equations to process: 657
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [88]
% ld((A mult B) mult C,((A mult C) mult (B mult C)) mult ((A mult C) mult C))
% -> A mult C
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [89]
% ((ld(A,C) mult B) mult A) mult (A mult B) ->
% ((A mult B) mult A) mult ((A mult B) mult C)
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [90] ld(ld(B,A) mult A,ld((A mult B) mult A,A)) -> A
% Current number of equations to process: 933
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [91] (ld(ld(A,B),C) mult A) mult B -> ld(A mult B,(A mult C) mult B)
% Current number of equations to process: 932
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [92]
% (ld(A,B) mult ld(A,C)) mult B -> ld(ld(A,B) mult B,(ld(A,B) mult C) mult B)
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [93]
% ld(A,C) mult B <->
% ld(A mult B,ld((A mult B) mult B,(A mult B) mult (B mult C)))
% Current number of equations to process: 930
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [94]
% ld(A mult B,ld((A mult B) mult B,(A mult B) mult (B mult C))) <->
% ld(A,C) mult B
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [95]
% ld(ld(A,B) mult C,ld((A mult C) mult C,(A mult C) mult (B mult C))) ->
% A mult C
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [96]
% ld((ld(A,B) mult C) mult B,((A mult C) mult ld(A,B)) mult B) ->
% ld(A,B) mult B
% Current number of equations to process: 1070
% Current number of ordered equations: 0
% Current number of rules: 88
% Rule [77]
% ld((A mult B) mult A,((A mult B) mult B) mult A) ->
% ld(A,ld((A mult B) mult A,A)) is composed into [77]
% ld((A mult B) mult A,
% ((A mult B) mult B) mult A)
% -> ld(B,A) mult A
% New rule produced : [97] ld(A,ld((A mult B) mult A,A)) -> ld(B,A) mult A
% Current number of equations to process: 1091
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [98]
% ld(A,(((A mult B) mult A) mult (A mult C)) mult ((A mult D) mult A)) <->
% ((ld(A,C) mult B) mult D) mult A
% Current number of equations to process: 1106
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [99]
% ((ld(A,C) mult B) mult D) mult A <->
% ld(A,(((A mult B) mult A) mult (A mult C)) mult ((A mult D) mult A))
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [100]
% ld(ld(A,B) mult B,((A mult C) mult ld(A,B)) mult ld(A,B)) ->
% (ld(A,B) mult C) mult ld(A,B)
% Current number of equations to process: 1105
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [101]
% ld(((A mult B) mult C) mult C,(((A mult C) mult C) mult ((B mult C) mult C)) mult C)
% -> C
% Current number of equations to process: 1104
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [102]
% ld(ld(A,(ld(B,A) mult C) mult B),ld(A,((B mult C) mult ld(B,A)) mult B)) -> B
% Current number of equations to process: 1103
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [103]
% (ld(ld(A,B) mult C,B mult C) mult C) mult (ld(A,B) mult C) ->
% ((A mult C) mult ld(A,B)) mult C
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [104]
% (ld(ld(A,B),C) mult A) mult C <->
% ld(ld(ld(A,B),C) mult C,(ld(ld(A,B),C) mult B) mult C)
% Current number of equations to process: 1101
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [105]
% ld(ld(ld(A,B),C) mult C,(ld(ld(A,B),C) mult B) mult C) <->
% (ld(ld(A,B),C) mult A) mult C
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [106]
% ld(ld((A mult B) mult B,B),ld(A,B) mult B) -> ld((A mult B) mult B,A mult B)
% Current number of equations to process: 1498
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [107]
% ld(ld(((A mult B) mult B) mult B,B),(((A mult B) mult B) mult A) mult B) ->
% A mult B
% Current number of equations to process: 1497
% Current number of ordered equations: 0
% Current number of rules: 99
% Rule [79]
% ld(A,ld(B,((B mult C) mult B) mult (A mult B))) mult B ->
% ld(A,((B mult C) mult ld(B,A)) mult B) is composed into [79]
% ld(A,ld(B,
% ((B mult C) mult B) mult
% (A mult B))) mult B
% ->
% ld(A,(B mult C) mult B) mult
% ld(A,B)
% New rule produced :
% [108] ld(A,(ld(B,A) mult C) mult B) -> ld(A,B mult C) mult ld(A,B)
% Rule
% [28]
% ld(A,(ld(B,A) mult C) mult B) mult B ->
% ld(A,((B mult C) mult ld(B,A)) mult B) collapsed.
% Rule
% [46]
% ld(A,((ld(B,A) mult C) mult ld(B,A)) mult B) ->
% ld(A,(ld(B,A) mult C) mult B) mult ld(A,B) collapsed.
% Rule
% [55]
% ld(A,((ld(ld(B,A),D) mult C) mult ld(B,A)) mult B) ->
% ld(A,(ld(B,A) mult C) mult B) mult ld(A,B mult D) collapsed.
% Rule [70] ld(A,(ld(B,A) mult A) mult B) -> ld(A,B) mult B collapsed.
% Rule
% [75]
% ld(A,ld(B,((A mult C) mult ld(A,B)) mult A)) -> ld(B,(ld(A,B) mult C) mult A)
% collapsed.
% Rule
% [102]
% ld(ld(A,(ld(B,A) mult C) mult B),ld(A,((B mult C) mult ld(B,A)) mult B)) -> B
% collapsed.
% Current number of equations to process: 1812
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [109]
% ld(ld(A,B) mult B,(B mult C) mult B) mult ld(ld(A,B) mult B,B) ->
% ld(A,(B mult C) mult B) mult ld(A,B)
% Current number of equations to process: 1811
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [110]
% ld(A,ld(B,(A mult C) mult A) mult ld(B,A)) -> ld(B,A mult C) mult ld(B,A)
% Current number of equations to process: 1810
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [111]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A)) -> ld(A,(B mult C) mult ld(B,A))
% Rule
% [47]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) ->
% ld(A,((B mult C) mult B) mult ld(B,A)) collapsed.
% Current number of equations to process: 1809
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [112]
% ld(A mult B,ld(A,C) mult B) mult ld(A mult B,B) -> ld(A mult B,B mult C)
% Current number of equations to process: 1808
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [113]
% (ld(A mult B,B mult C) mult ld(A mult B,B)) mult (A mult B) ->
% (A mult C) mult B
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [114]
% ld(A mult B,A) mult ld(A mult B,C) <-> ld(A,ld(A mult B,(B mult C) mult A))
% Current number of equations to process: 1891
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [115]
% ld(A,ld(A mult B,(B mult C) mult A)) <-> ld(A mult B,A) mult ld(A mult B,C)
% Rule
% [29]
% ld(A,ld(A mult B,((A mult C) mult B) mult A)) ->
% ld(A mult B,(B mult C) mult A) collapsed.
% Current number of equations to process: 1891
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [116]
% ld(ld(A mult B,B),ld(A mult B,(A mult C) mult B)) -> ld(A mult B,B mult C)
% Rule
% [52]
% ld(ld(A mult B,B),ld(A mult B,((A mult C) mult A) mult B)) ->
% ld(A mult B,(A mult C) mult B) collapsed.
% Current number of equations to process: 1890
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [117]
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) -> ld(A mult B,B)
% Rule
% [59]
% ld(ld(A mult B,(A mult C) mult B),ld(A mult B,((A mult C) mult A) mult B)) ->
% ld(A mult B,B) collapsed.
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [118]
% ld(ld(A mult B,B mult C) mult ld(A mult B,B),(A mult C) mult B) -> A mult B
% Current number of equations to process: 1888
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [119]
% ld(A mult B,(B mult C) mult A) mult A <->
% ld(A mult B,(A mult C) mult A) mult ld(A mult B,A)
% Current number of equations to process: 1887
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [120]
% ld(A mult B,(A mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,(B mult C) mult A) mult A
% Current number of equations to process: 1887
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [121]
% ld(A mult B,(((A mult B) mult A) mult A) mult B) ->
% (ld(A mult B,B) mult B) mult ld(A mult B,B)
% Current number of equations to process: 2049
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [122]
% ld(ld(A,B mult C) mult ld(A,B),ld(A,(B mult C) mult B) mult ld(A,B)) -> B
% Current number of equations to process: 2062
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [123]
% ld(ld(A,B) mult C,A mult C) mult ld(ld(A,B) mult C,C) ->
% ld(ld(A,B) mult C,B mult C)
% Current number of equations to process: 2061
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [124]
% ld(A,(ld(ld(B,A),D) mult C) mult B) mult ld(A,B) ->
% (ld(A,B mult C) mult ld(A,B)) mult ld(A,B mult D)
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [125]
% ld(D,(((B mult C) mult D) mult D) mult ((A mult D) mult D)) <->
% ld(A,((A mult B) mult A) mult ((A mult C) mult A)) mult D
% Current number of equations to process: 2059
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [126]
% ld(A,((A mult B) mult A) mult ((A mult C) mult A)) mult D <->
% ld(D,(((B mult C) mult D) mult D) mult ((A mult D) mult D))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [127]
% ld(A,(((A mult B) mult A) mult ((A mult C) mult A)) mult ((A mult D) mult A))
% <-> ((B mult C) mult D) mult A
% Current number of equations to process: 2058
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [128]
% ((B mult C) mult D) mult A <->
% ld(A,(((A mult B) mult A) mult ((A mult C) mult A)) mult ((A mult D) mult A))
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [129]
% ld(((A mult B) mult A) mult (A mult B),(A mult B) mult A) <->
% ld(((A mult B) mult B) mult (A mult B),(A mult B) mult B)
% Current number of equations to process: 2057
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [130]
% (ld(A,B) mult C) mult B <->
% ld(ld(A,B) mult B,(A mult C) mult B) mult ld(ld(A,B) mult B,B)
% Current number of equations to process: 2056
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [131]
% ld(ld(A,B) mult B,(A mult C) mult B) mult ld(ld(A,B) mult B,B) <->
% (ld(A,B) mult C) mult B
% Current number of equations to process: 2056
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [132]
% (((A mult B) mult A) mult ((A mult C) mult A)) mult (((B mult C) mult A) mult A)
% -> unit
% Current number of equations to process: 2278
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [133]
% ld((ld(A,B) mult C) mult B,ld(A,((A mult C) mult B) mult B) mult ld(A,B)) ->
% B
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [134]
% ld(A,((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A)) <->
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D)
% Current number of equations to process: 3086
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [135]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D) <->
% ld(A,((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A))
% Current number of equations to process: 3086
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [136]
% ld(A mult B,ld(A,(A mult C) mult (A mult D)) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B mult D)
% Current number of equations to process: 3174
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [137]
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) <->
% ld(A mult B,ld(A,(A mult C) mult (A mult D)) mult B)
% Current number of equations to process: 3174
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [138]
% ((A mult D) mult (B mult D)) mult ((A mult D) mult (C mult D)) <->
% (((ld(A,B) mult ld(A,C)) mult A) mult D) mult (A mult D)
% Current number of equations to process: 3326
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [139]
% (((ld(A,B) mult ld(A,C)) mult A) mult D) mult (A mult D) <->
% ((A mult D) mult (B mult D)) mult ((A mult D) mult (C mult D))
% Current number of equations to process: 3326
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [140]
% ((((ld(A,C) mult B) mult A) mult D) mult D) mult ((A mult D) mult D) ->
% ((((A mult B) mult A) mult (A mult C)) mult D) mult D
% Current number of equations to process: 3324
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [141]
% ((((ld(A,C) mult B) mult A) mult D) mult A) mult A ->
% ((((A mult B) mult A) mult (A mult C)) mult A) mult ((A mult D) mult A)
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [142]
% (((A mult C) mult D) mult (A mult D)) mult ((A mult D) mult (B mult D)) <->
% (((ld(A,B) mult C) mult A) mult D) mult (A mult D)
% Current number of equations to process: 3322
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [143]
% (((ld(A,B) mult C) mult A) mult D) mult (A mult D) <->
% (((A mult C) mult D) mult (A mult D)) mult ((A mult D) mult (B mult D))
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [144]
% ld(((A mult B) mult A) mult ((A mult C) mult A),(((B mult C) mult D) mult A) mult A)
% -> (A mult D) mult A
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [145]
% ld(A mult B,(((A mult B) mult C) mult B) mult A) ->
% (ld(A mult B,A) mult A) mult ld(A mult B,(B mult C) mult A)
% Rule
% [74]
% ld(A mult B,(((A mult B) mult A) mult B) mult A) ->
% ld(((A mult B) mult A) mult A,A) collapsed.
% Rule
% [121]
% ld(A mult B,(((A mult B) mult A) mult A) mult B) ->
% (ld(A mult B,B) mult B) mult ld(A mult B,B) collapsed.
% Current number of equations to process: 3319
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [146]
% ld(ld(A,B),ld(ld(A,B) mult C,(B mult C) mult ld(A,B))) <->
% ld(ld(A,B) mult C,(A mult C) mult ld(A,B))
% Current number of equations to process: 3316
% Current number of ordered equations: 2
% Current number of rules: 126
% New rule produced :
% [147]
% ld(ld(A,B) mult C,(A mult C) mult ld(A,B)) <->
% ld(ld(A,B),ld(ld(A,B) mult C,(B mult C) mult ld(A,B)))
% Current number of equations to process: 3316
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [148]
% ld(ld(A mult B,C) mult A,(ld(A mult B,C) mult B) mult A) ->
% ld(A,ld(ld(A mult B,C) mult A,A mult C))
% Current number of equations to process: 3316
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [149]
% (((A mult B) mult (B mult C)) mult A) mult (A mult B) <->
% (((A mult B) mult (A mult C)) mult (A mult B)) mult ((A mult B) mult A)
% Current number of equations to process: 3315
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [150]
% (((A mult B) mult (A mult C)) mult (A mult B)) mult ((A mult B) mult A) <->
% (((A mult B) mult (B mult C)) mult A) mult (A mult B)
% Current number of equations to process: 3315
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [151]
% (A mult B) mult ld(A,((A mult B) mult A) mult ((A mult C) mult A)) ->
% ((A mult B) mult (A mult C)) mult ((A mult B) mult A)
% Current number of equations to process: 3314
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [152]
% ((ld(A,B) mult C) mult ld(A,B)) mult ((ld(A,B) mult C) mult B) ->
% ((A mult C) mult ld(A,B)) mult (ld(A,B) mult C)
% Current number of equations to process: 3313
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [153]
% ((ld(A mult C,(B mult C) mult A) mult C) mult A) mult (A mult C) ->
% (((A mult B) mult C) mult A) mult ((A mult C) mult A)
% Current number of equations to process: 3312
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [154]
% ((A mult B) mult ld(A,C)) mult ((A mult B) mult B) ->
% ld(((A mult B) mult B) mult (A mult B),(A mult B) mult (B mult C))
% Current number of equations to process: 3311
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [155]
% ld(A mult B,((A mult C) mult B) mult A) mult A <->
% ld(((A mult B) mult A) mult A,(((B mult C) mult A) mult A) mult A)
% Current number of equations to process: 3310
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [156]
% ld(((A mult B) mult A) mult A,(((B mult C) mult A) mult A) mult A) <->
% ld(A mult B,((A mult C) mult B) mult A) mult A
% Current number of equations to process: 3310
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [157]
% (((ld(A,C) mult B) mult C) mult ld(A,C)) mult (ld(A,C) mult C) ->
% (((A mult B) mult C) mult ld(A,C)) mult ld(A,C)
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [158]
% ld(ld(ld(A,B),C) mult A,A mult C) mult A <->
% ld(ld(ld(A,B),C) mult A,(ld(ld(A,B),C) mult B) mult A)
% Current number of equations to process: 3308
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [159]
% ld(ld(ld(A,B),C) mult A,(ld(ld(A,B),C) mult B) mult A) <->
% ld(ld(ld(A,B),C) mult A,A mult C) mult A
% Current number of equations to process: 3308
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [160]
% ld(ld(ld(A,B) mult C,B mult C) mult C,((A mult C) mult ld(A,B)) mult C) ->
% ld(A,B) mult C
% Current number of equations to process: 3307
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [161]
% ld((A mult B) mult A,ld(((A mult B) mult A) mult (A mult B),(A mult B) mult A))
% -> (A mult B) mult B
% Current number of equations to process: 3305
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [162]
% ld((A mult B) mult B,ld(((A mult B) mult A) mult (A mult B),(A mult B) mult A))
% -> (A mult B) mult A
% Current number of equations to process: 3305
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [163]
% ld(A mult B,ld(A,((A mult B) mult A) mult ((A mult C) mult A))) <->
% ld(A mult B,A mult C) mult ld(A mult B,A)
% Current number of equations to process: 3304
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [164]
% ld(A mult B,A mult C) mult ld(A mult B,A) <->
% ld(A mult B,ld(A,((A mult B) mult A) mult ((A mult C) mult A)))
% Current number of equations to process: 3304
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [165]
% ld(A mult B,(((A mult C) mult B) mult B) mult A) <->
% (ld(A mult B,(B mult C) mult A) mult A) mult ld(A mult B,A)
% Current number of equations to process: 3302
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [166]
% (ld(A mult B,(B mult C) mult A) mult A) mult ld(A mult B,A) <->
% ld(A mult B,(((A mult C) mult B) mult B) mult A)
% Current number of equations to process: 3302
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [167] ld(B,C) mult A <-> ld(A,ld((A mult B) mult A,(A mult C) mult A))
% Current number of equations to process: 3768
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [168] ld(A,ld((A mult B) mult A,(A mult C) mult A)) <-> ld(B,C) mult A
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [169] ld(ld(A,B) mult C,ld((A mult C) mult C,(B mult C) mult C)) -> C
% Current number of equations to process: 3767
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [170] ld(A,ld(A,((A mult B) mult A) mult (A mult C))) -> ld(A,C) mult B
% Rule
% [63] ld(A,ld(A,((A mult B) mult A) mult ((A mult C) mult A))) -> B mult C
% collapsed.
% Current number of equations to process: 3944
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [171] ld(ld(A,B) mult C,ld(A,((A mult C) mult A) mult (A mult B))) -> A
% Current number of equations to process: 3945
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [172] ld(A,((A mult B) mult A) mult C) <-> (ld(A,ld(A,C)) mult B) mult A
% Current number of equations to process: 4000
% Current number of ordered equations: 2
% Current number of rules: 151
% New rule produced :
% [173] (ld(A,ld(A,C)) mult B) mult A <-> ld(A,((A mult B) mult A) mult C)
% Current number of equations to process: 4000
% Current number of ordered equations: 1
% Current number of rules: 152
% Rule [138]
% ((A mult D) mult (B mult D)) mult ((A mult D) mult (C mult D)) <->
% (((ld(A,B) mult ld(A,C)) mult A) mult D) mult (A mult D) is composed into
% [138]
% ((A mult D) mult (B mult D)) mult ((A mult D) mult (C mult D)) <->
% (ld(A,(A mult B) mult (A mult C)) mult D) mult (A mult D)
% Rule [135]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D) <->
% ld(A,((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A)) is composed into
% [135]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D) <->
% ld(A,ld(B,(B mult C) mult (B mult D)) mult ld(B,A))
% Rule [57]
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) <->
% ld(A mult B,((ld(A,C) mult ld(A,D)) mult A) mult B) is composed into
% [57]
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) <->
% ld(A mult B,ld(A,(A mult C) mult (A mult D)) mult B)
% New rule produced :
% [174] (ld(A,B) mult ld(A,C)) mult A -> ld(A,(A mult B) mult (A mult C))
% Rule
% [56]
% ld(A mult B,((ld(A,C) mult ld(A,D)) mult A) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) collapsed.
% Rule
% [113]
% (ld(A mult B,B mult C) mult ld(A mult B,B)) mult (A mult B) ->
% (A mult C) mult B collapsed.
% Rule
% [134]
% ld(A,((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A)) <->
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D) collapsed.
% Rule
% [139]
% (((ld(A,B) mult ld(A,C)) mult A) mult D) mult (A mult D) <->
% ((A mult D) mult (B mult D)) mult ((A mult D) mult (C mult D)) collapsed.
% Current number of equations to process: 4002
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [175] ld((ld(A,ld(A,B)) mult C) mult A,((A mult C) mult A) mult B) -> A
% Current number of equations to process: 4265
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [176]
% (ld(ld(A,B),C) mult A) mult ld(A,B) ->
% ld(ld(A,B),(ld(A,B) mult B) mult (ld(A,B) mult C))
% Current number of equations to process: 4263
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [177]
% ld(A,(((A mult B) mult A) mult (A mult C)) mult (A mult D)) <->
% ((ld(A,C) mult B) mult ld(A,D)) mult A
% Current number of equations to process: 4262
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [178]
% ((ld(A,C) mult B) mult ld(A,D)) mult A <->
% ld(A,(((A mult B) mult A) mult (A mult C)) mult (A mult D))
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [179]
% (A mult B) mult ld(A,((A mult B) mult A) mult (A mult C)) ->
% ((A mult B) mult A) mult ((A mult B) mult C)
% Rule
% [151]
% (A mult B) mult ld(A,((A mult B) mult A) mult ((A mult C) mult A)) ->
% ((A mult B) mult (A mult C)) mult ((A mult B) mult A) collapsed.
% Current number of equations to process: 4261
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [180]
% ld(A mult B,B) mult ld(A mult B,C) <->
% ld(A mult B,ld(B,((A mult B) mult B) mult (B mult C)))
% Rule
% [164]
% ld(A mult B,A mult C) mult ld(A mult B,A) <->
% ld(A mult B,ld(A,((A mult B) mult A) mult ((A mult C) mult A))) collapsed.
% Current number of equations to process: 4260
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [181]
% ld(A mult B,ld(B,((A mult B) mult B) mult (B mult C))) <->
% ld(A mult B,B) mult ld(A mult B,C)
% Rule
% [163]
% ld(A mult B,ld(A,((A mult B) mult A) mult ((A mult C) mult A))) <->
% ld(A mult B,A mult C) mult ld(A mult B,A) collapsed.
% Current number of equations to process: 4260
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [182]
% ld((A mult B) mult A,ld(((A mult B) mult B) mult (A mult B),A mult B)) ->
% A mult B
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [183]
% ld(A,ld(((A mult B) mult B) mult (A mult B),A mult B)) ->
% (ld(A,B) mult B) mult A
% Current number of equations to process: 4625
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [184] (ld(A,ld(B,A)) mult ld(B,A)) mult A -> (A mult B) mult ld(B,A)
% Current number of equations to process: 4743
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [185] ld(ld(A,B),A) mult ld(A,ld(ld(A,B),A)) -> ld(A,ld(ld(A,B),A) mult B)
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [186] ld(ld(A,ld(B,A)) mult ld(B,A),(A mult B) mult ld(B,A)) -> A
% Current number of equations to process: 4749
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [187] (ld(B,A) mult A) mult B <-> (ld(A,B) mult B) mult A
% Rule
% [72] (ld(A mult B,B) mult B) mult (A mult B) -> ((A mult B) mult A) mult B
% collapsed.
% Current number of equations to process: 4821
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [188] ld(ld(A,B) mult B,(ld(B,A) mult A) mult B) -> A
% Current number of equations to process: 4822
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [189]
% (A mult B) mult ld(ld(A mult B,B) mult B,B) <->
% (ld(A mult B,B) mult A) mult B
% Current number of equations to process: 4876
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [190]
% (ld(A mult B,B) mult A) mult B <->
% (A mult B) mult ld(ld(A mult B,B) mult B,B)
% Current number of equations to process: 4876
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [191]
% ld(B,ld(A,B mult C) mult ld(A,B)) <-> ld(A,ld(B,(A mult B) mult (B mult C)))
% Current number of equations to process: 4929
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [192]
% ld(A,ld(B,(A mult B) mult (B mult C))) <-> ld(B,ld(A,B mult C) mult ld(A,B))
% Current number of equations to process: 4929
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [193]
% (A mult B) mult ld(A,ld(A mult B,(B mult C) mult A)) <->
% (ld(A,C) mult B) mult A
% Current number of equations to process: 4928
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [194]
% (ld(A,C) mult B) mult A <->
% (A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))
% Current number of equations to process: 4928
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [195]
% ld((A mult B) mult A,((A mult C) mult B) mult A) <->
% ld(B,(B mult C) mult A) mult A
% Current number of equations to process: 4942
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [196]
% ld(B,(B mult C) mult A) mult A <->
% ld((A mult B) mult A,((A mult C) mult B) mult A)
% Current number of equations to process: 4942
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [197] ld(ld(A,B),A) mult A -> ld(A,ld(A mult B,A))
% Current number of equations to process: 1091
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [198]
% ((A mult B) mult A) mult (ld(B,A) mult A) <-> ((A mult B) mult B) mult A
% Current number of equations to process: 1090
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [199]
% ((A mult B) mult B) mult A <-> ((A mult B) mult A) mult (ld(B,A) mult A)
% Current number of equations to process: 1090
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [200]
% ld(ld(A,B) mult B,(A mult B) mult ld(A,B)) -> ld(A,ld(A,B)) mult ld(A,B)
% Current number of equations to process: 1089
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [201]
% ld(ld(A,B),ld(A,ld(A,B))) mult ld(A,ld(A,B)) ->
% ld(ld(A,B),ld(A,ld(A,B)) mult B)
% Current number of equations to process: 1088
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [202]
% ld(ld(A,ld(A mult B,(B mult C) mult A)),(ld(A,C) mult B) mult A) -> A mult B
% Current number of equations to process: 1087
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [203]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,ld(A,((A mult B) mult A) mult (A mult C)))
% Current number of equations to process: 1086
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [204]
% ld(A mult B,ld(A,((A mult B) mult A) mult (A mult C))) <->
% ld(A,ld(A mult B,(B mult C) mult A))
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [205] ld(ld(A,B) mult B,((A mult B) mult A) mult B) -> (A mult B) mult B
% Current number of equations to process: 1090
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [206] ld(A mult B,ld((A mult B) mult A,A mult B)) -> ld(B,A) mult A
% Rule
% [161]
% ld((A mult B) mult A,ld(((A mult B) mult A) mult (A mult B),(A mult B) mult A))
% -> (A mult B) mult B collapsed.
% Current number of equations to process: 1142
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [207]
% ((ld(C,D) mult B) mult A) mult A <->
% ((A mult B) mult A) mult ld((A mult C) mult A,(A mult D) mult A)
% Rule
% [25] ((ld(A,C) mult B) mult A) mult A -> ((A mult B) mult A) mult (A mult C)
% collapsed.
% Current number of equations to process: 1214
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [208]
% ((A mult B) mult A) mult ld((A mult C) mult A,(A mult D) mult A) <->
% ((ld(C,D) mult B) mult A) mult A
% Current number of equations to process: 1214
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [209]
% ld(((A mult B) mult A) mult ((A mult C) mult A),(((B mult C) mult A) mult A) mult D)
% -> D
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [210]
% ((B mult C) mult ld(A,D)) mult A <->
% ld(A,(((A mult B) mult A) mult ((A mult C) mult A)) mult (A mult D))
% Current number of equations to process: 1212
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [211]
% ld(A,(((A mult B) mult A) mult ((A mult C) mult A)) mult (A mult D)) <->
% ((B mult C) mult ld(A,D)) mult A
% Current number of equations to process: 1212
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [212]
% ld(A,(A mult B) mult ld((A mult C) mult A,(A mult D) mult A)) <->
% (ld(A,B) mult ld(C,D)) mult A
% Current number of equations to process: 1211
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [213]
% (ld(A,B) mult ld(C,D)) mult A <->
% ld(A,(A mult B) mult ld((A mult C) mult A,(A mult D) mult A))
% Rule
% [82]
% (ld(A,B) mult ld(B,(A mult C) mult ld(A,B))) mult B ->
% ((ld(A,B) mult C) mult A) mult ld(A,B) collapsed.
% Current number of equations to process: 1212
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [214]
% ld(A mult B,ld(A,((A mult B) mult A) mult (A mult C))) mult A ->
% ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 1211
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [215]
% ld((ld(A,B) mult B) mult A,ld(((A mult B) mult B) mult (A mult B),A mult B))
% -> A
% Current number of equations to process: 1210
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [216]
% ld(A,ld(B,(A mult B) mult (B mult C))) mult B -> ld(A,B mult C) mult ld(A,B)
% Rule
% [79]
% ld(A,ld(B,((B mult C) mult B) mult (A mult B))) mult B ->
% ld(A,(B mult C) mult B) mult ld(A,B) collapsed.
% Rule
% [214]
% ld(A mult B,ld(A,((A mult B) mult A) mult (A mult C))) mult A ->
% ld(A mult B,(B mult C) mult A) collapsed.
% Current number of equations to process: 1427
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [217]
% ld(A,ld(B,((B mult C) mult B) mult (A mult B))) <->
% ld(A,B mult C) mult ld(A,B)
% Current number of equations to process: 1426
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [218]
% ld(A,B mult C) mult ld(A,B) <->
% ld(A,ld(B,((B mult C) mult B) mult (A mult B)))
% Current number of equations to process: 1426
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [219]
% ld(A,(ld(A mult B,A mult C) mult A) mult (A mult B)) ->
% (ld(B,C) mult A) mult B
% Current number of equations to process: 1447
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [220]
% (ld(A mult B,B mult C) mult B) mult (A mult B) <->
% ld(A,((A mult B) mult A) mult (A mult C)) mult B
% Current number of equations to process: 1564
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [221]
% ld(A,((A mult B) mult A) mult (A mult C)) mult B <->
% (ld(A mult B,B mult C) mult B) mult (A mult B)
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [222] ((A mult B) mult ld(A,B)) mult A -> ld((A mult B) mult A,A) mult B
% Current number of equations to process: 1640
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [223]
% ld((ld(A,B) mult B) mult ld(A,B),ld(A,B)) mult B ->
% ((ld(A,B) mult B) mult A) mult ld(A,B)
% Current number of equations to process: 1639
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [224]
% ld(A,(A mult B) mult ld(((A mult B) mult A) mult A,A)) ->
% ((A mult B) mult A) mult B
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [225] ld(A,((B mult C) mult A) mult (A mult B)) <-> (ld(B,A) mult C) mult B
% Current number of equations to process: 2129
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [226] (ld(B,A) mult C) mult B <-> ld(A,((B mult C) mult A) mult (A mult B))
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [227] ld((ld(A,B) mult C) mult A,((A mult C) mult B) mult (A mult B)) -> B
% Current number of equations to process: 2128
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [228]
% ld(A,((A mult B) mult A) mult (A mult C)) mult C ->
% ((A mult B) mult C) mult (A mult C)
% Current number of equations to process: 2254
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [229] ld(A,(A mult B) mult (A mult C)) mult B -> (A mult B) mult (B mult C)
% Rule
% [179]
% (A mult B) mult ld(A,((A mult B) mult A) mult (A mult C)) ->
% ((A mult B) mult A) mult ((A mult B) mult C) collapsed.
% Rule
% [228]
% ld(A,((A mult B) mult A) mult (A mult C)) mult C ->
% ((A mult B) mult C) mult (A mult C) collapsed.
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [230]
% ld(A mult C,(ld(A,C) mult B) mult C) mult ld(A mult C,C) -> (A mult B) mult C
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [231]
% ld(A mult B,((((A mult B) mult A) mult A) mult B) mult A) ->
% ld(((A mult B) mult A) mult A,A) mult A
% Current number of equations to process: 2341
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [232]
% (ld(((A mult B) mult A) mult A,A) mult A) mult (A mult B) ->
% ((((A mult B) mult A) mult A) mult B) mult A
% Current number of equations to process: 2340
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [233]
% (((ld(ld(A,C),A) mult B) mult A) mult C) mult (A mult C) ->
% (((A mult B) mult C) mult (A mult C)) mult C
% Current number of equations to process: 2339
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [234]
% ((A mult B) mult ld(A,B)) mult B ->
% (ld(A,B) mult B) mult ld((A mult B) mult B,B)
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [235]
% ld(A mult B,((A mult B) mult A) mult ((A mult B) mult C)) <->
% (ld(A,C) mult B) mult A
% Current number of equations to process: 2543
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [236]
% (ld(A,C) mult B) mult A <->
% ld(A mult B,((A mult B) mult A) mult ((A mult B) mult C))
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [237]
% ld((ld(A,B) mult C) mult A,(ld(A mult C,B mult C) mult C) mult (A mult C)) ->
% C
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [238]
% ld(((A mult B) mult B) mult A,(A mult B) mult ld(((A mult B) mult B) mult B,B))
% -> B
% Current number of equations to process: 2541
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [239]
% ld(A mult B,((A mult B) mult B) mult B) mult ld(A mult B,B) ->
% ld(((A mult B) mult B) mult B,B)
% Current number of equations to process: 2540
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [240]
% ((A mult C) mult ld(A,B)) mult B <->
% ((ld(A,B) mult B) mult (B mult C)) mult ld((A mult B) mult B,B)
% Current number of equations to process: 2539
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [241]
% ((ld(A,B) mult B) mult (B mult C)) mult ld((A mult B) mult B,B) <->
% ((A mult C) mult ld(A,B)) mult B
% Current number of equations to process: 2539
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [242]
% ld((A mult B) mult A,(((A mult B) mult (B mult C)) mult A) mult A) ->
% ((A mult B) mult (A mult C)) mult A
% Current number of equations to process: 2718
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [243]
% ld((ld(A,B) mult C) mult A,((A mult C) mult A) mult ((A mult C) mult B)) ->
% A mult C
% Current number of equations to process: 2720
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [244]
% (ld(ld(B,A),C) mult A) mult (A mult B) ->
% ld((A mult B) mult A,(B mult C) mult A)
% Current number of equations to process: 3320
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [245] ld(A,ld(A mult B,(B mult C) mult A)) <-> ld(ld(B,A),C) mult B
% Current number of equations to process: 3334
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [246] ld(ld(B,A),C) mult B <-> ld(A,ld(A mult B,(B mult C) mult A))
% Current number of equations to process: 3334
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [247] ld(ld(ld(A,B),C) mult A,ld(A mult B,(A mult C) mult B)) -> B
% Current number of equations to process: 3333
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [248]
% (ld(ld(A,ld(A,B)),C) mult ld(A,B)) mult B ->
% ld(ld(A,B) mult B,(A mult C) mult ld(A,B))
% Current number of equations to process: 3541
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [249]
% ((ld(C,A) mult A) mult B) mult ld((A mult C) mult A,A) <->
% ((ld(A,B) mult C) mult ld(C,A)) mult A
% Current number of equations to process: 3554
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [250]
% ((ld(A,B) mult C) mult ld(C,A)) mult A <->
% ((ld(C,A) mult A) mult B) mult ld((A mult C) mult A,A)
% Current number of equations to process: 3554
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [251] ld(ld(A,ld(A,B)) mult ld(A,B),ld(ld(A,B) mult B,ld(A,B))) -> ld(A,B)
% Current number of equations to process: 3553
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [252]
% (((ld(C,A) mult A) mult B) mult A) mult A ->
% ((A mult B) mult A) mult (ld((A mult C) mult A,A) mult A)
% Current number of equations to process: 3552
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [253]
% ((ld(ld(ld(B,A),B),C) mult B) mult A) mult (A mult B) ->
% ld(A,((B mult C) mult A) mult (A mult B))
% Current number of equations to process: 3551
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [254]
% ld(A,ld(A mult B,ld((A mult B) mult A,(A mult B) mult (A mult C)))) ->
% ld(B,C)
% Current number of equations to process: 3787
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [255]
% ld(ld(A mult B,C) mult C,ld(((A mult C) mult C) mult ((B mult C) mult C),C))
% -> C
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [256]
% ld(ld(ld(A,B),C) mult C,ld(ld((A mult C) mult C,(B mult C) mult C),C)) -> C
% Current number of equations to process: 3785
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [257]
% ld(ld(ld(A,B) mult C,A) mult A,ld(((A mult C) mult A) mult (A mult B),A)) ->
% A
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [258]
% ld(A,(A mult B) mult ld(ld(A mult B,A),(A mult C) mult A)) ->
% ld(B,A mult C) mult ld(B,A)
% Current number of equations to process: 3783
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [259]
% ld(ld(A,B) mult ld(A,C),ld(ld(A,B) mult B,(ld(A,B) mult C) mult B)) -> B
% Current number of equations to process: 3782
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [260]
% ld(ld(A,B),ld(A mult C,ld((A mult C) mult C,(A mult C) mult (B mult C)))) ->
% C
% Current number of equations to process: 3781
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [261]
% ld(A mult B,ld((A mult B) mult A,(A mult B) mult C)) <-> ld(B,ld(A,C)) mult A
% Current number of equations to process: 3971
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [262]
% ld(B,ld(A,C)) mult A <-> ld(A mult B,ld((A mult B) mult A,(A mult B) mult C))
% Rule
% [216]
% ld(A,ld(B,(A mult B) mult (B mult C))) mult B -> ld(A,B mult C) mult ld(A,B)
% collapsed.
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [263]
% ld(A,(A mult B) mult C) mult B ->
% ld((A mult B) mult B,(A mult B) mult (B mult C))
% Rule
% [229] ld(A,(A mult B) mult (A mult C)) mult B -> (A mult B) mult (B mult C)
% collapsed.
% Current number of equations to process: 4006
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [264] ld(ld(A,B) mult B,ld((A mult B) mult B,A mult B)) -> A mult B
% Current number of equations to process: 4228
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [265]
% ld(ld(A,ld(B,C)) mult B,ld((A mult B) mult B,(A mult B) mult C)) -> A mult B
% Current number of equations to process: 4227
% Current number of ordered equations: 0
% Current number of rules: 227
% Rule [200]
% ld(ld(A,B) mult B,(A mult B) mult ld(A,B)) -> ld(A,ld(A,B)) mult ld(A,B) is composed into
% [200]
% ld(ld(A,B) mult B,(A mult B) mult ld(A,B)) ->
% ld(ld(A,B),ld(ld(A,B) mult B,ld(A,B)))
% New rule produced :
% [266] ld(A,ld(A,B)) mult ld(A,B) -> ld(ld(A,B),ld(ld(A,B) mult B,ld(A,B)))
% Rule
% [251] ld(ld(A,ld(A,B)) mult ld(A,B),ld(ld(A,B) mult B,ld(A,B))) -> ld(A,B)
% collapsed.
% Current number of equations to process: 4640
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [267]
% ld(A,ld(((A mult B) mult A) mult (A mult C),A)) <->
% ld(ld(A,C) mult B,A) mult A
% Current number of equations to process: 4734
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [268]
% ld(ld(A,C) mult B,A) mult A <->
% ld(A,ld(((A mult B) mult A) mult (A mult C),A))
% Current number of equations to process: 4734
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [269]
% ld(A,ld(((A mult B) mult A) mult ((A mult C) mult A),A)) <->
% ld(B mult C,A) mult A
% Current number of equations to process: 4733
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [270]
% ld(B mult C,A) mult A <->
% ld(A,ld(((A mult B) mult A) mult ((A mult C) mult A),A))
% Current number of equations to process: 4733
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [271]
% ld(A,ld(ld((A mult B) mult A,(A mult C) mult A),A)) <-> ld(ld(B,C),A) mult A
% Current number of equations to process: 4732
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [272]
% ld(ld(B,C),A) mult A <-> ld(A,ld(ld((A mult B) mult A,(A mult C) mult A),A))
% Current number of equations to process: 4732
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [273]
% ld(A mult B,((ld(C,A) mult A) mult B) mult A) ->
% ld(ld(B,A),ld((A mult C) mult A,A)) mult B
% Current number of equations to process: 4731
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [274]
% ld(A,ld((((B mult C) mult A) mult (A mult B)) mult A,A)) <->
% ld((ld(B,A) mult C) mult B,A) mult A
% Current number of equations to process: 4730
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [275]
% ld((ld(B,A) mult C) mult B,A) mult A <->
% ld(A,ld((((B mult C) mult A) mult (A mult B)) mult A,A))
% Current number of equations to process: 4730
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [276]
% ld(A,ld(ld(A mult B,(B mult C) mult A) mult A,A)) <->
% ld(ld(ld(B,A),C) mult B,A) mult A
% Current number of equations to process: 4729
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [277]
% ld(ld(ld(B,A),C) mult B,A) mult A <->
% ld(A,ld(ld(A mult B,(B mult C) mult A) mult A,A))
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [278]
% ld(A,ld(ld(B,(A mult C) mult A) mult ld(B,A),A)) <->
% ld(ld(B,A) mult ld(B,C),A) mult A
% Current number of equations to process: 4728
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [279]
% ld(ld(B,A) mult ld(B,C),A) mult A <->
% ld(A,ld(ld(B,(A mult C) mult A) mult ld(B,A),A))
% Current number of equations to process: 4728
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [280]
% ld(A,ld((((A mult B) mult A) mult ((A mult C) mult A)) mult A,A)) <->
% ld((B mult C) mult A,A) mult A
% Current number of equations to process: 4727
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [281]
% ld((B mult C) mult A,A) mult A <->
% ld(A,ld((((A mult B) mult A) mult ((A mult C) mult A)) mult A,A))
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [282]
% ld(A,ld(ld((A mult B) mult A,(A mult C) mult A) mult A,A)) <->
% ld(ld(B,C) mult A,A) mult A
% Current number of equations to process: 4726
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [283]
% ld(ld(B,C) mult A,A) mult A <->
% ld(A,ld(ld((A mult B) mult A,(A mult C) mult A) mult A,A))
% Current number of equations to process: 4726
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [284]
% ld(B,((B mult C) mult B) mult (ld((A mult B) mult B,B) mult B)) <->
% ((ld(A,B) mult B) mult C) mult B
% Current number of equations to process: 4725
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [285]
% ((ld(A,B) mult B) mult C) mult B <->
% ld(B,((B mult C) mult B) mult (ld((A mult B) mult B,B) mult B))
% Current number of equations to process: 4725
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [286]
% ld(A,(((A mult B) mult A) mult C) mult ((A mult D) mult A)) <->
% ((ld(A,ld(A,C)) mult B) mult D) mult A
% Current number of equations to process: 4729
% Current number of ordered equations: 3
% Current number of rules: 247
% New rule produced :
% [287]
% ld(A,((A mult B) mult (A mult C)) mult ((A mult D) mult A)) <->
% ((ld(A,B) mult ld(A,C)) mult D) mult A
% Current number of equations to process: 4729
% Current number of ordered equations: 2
% Current number of rules: 248
% New rule produced :
% [288]
% ((ld(A,ld(A,C)) mult B) mult D) mult A <->
% ld(A,(((A mult B) mult A) mult C) mult ((A mult D) mult A))
% Current number of equations to process: 4729
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [289]
% ((ld(A,B) mult ld(A,C)) mult D) mult A <->
% ld(A,((A mult B) mult (A mult C)) mult ((A mult D) mult A))
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [290]
% ((A mult D) mult (B mult D)) mult ((A mult D) mult (C mult D)) <->
% ld((A mult D) mult D,(((A mult B) mult (A mult C)) mult D) mult (A mult D))
% Current number of equations to process: 4727
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [291]
% ld((A mult D) mult D,(((A mult B) mult (A mult C)) mult D) mult (A mult D))
% <-> ((A mult D) mult (B mult D)) mult ((A mult D) mult (C mult D))
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [292]
% (ld(C,D) mult B) mult A <->
% ld(A,((A mult B) mult A) mult ld((A mult C) mult A,(A mult D) mult A))
% Current number of equations to process: 4726
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [293]
% ld(A,((A mult B) mult A) mult ld((A mult C) mult A,(A mult D) mult A)) <->
% (ld(C,D) mult B) mult A
% Current number of equations to process: 4726
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [294]
% ld(ld(A,B),ld(A,((A mult C) mult A) mult B)) mult A ->
% ld(ld(A,B),(A mult C) mult A) mult ld(ld(A,B),A)
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [295]
% ((A mult B) mult ld(((A mult B) mult A) mult A,A)) mult A ->
% ((((A mult B) mult A) mult A) mult A) mult ((A mult B) mult A)
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [296]
% ld(A mult B,((ld(A,B) mult C) mult B) mult A) mult A ->
% ld(A mult B,(((A mult C) mult B) mult (A mult B)) mult A)
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [297]
% ((A mult D) mult (B mult D)) mult ((B mult D) mult (C mult D)) <->
% (ld(A,(A mult B) mult (A mult C)) mult D) mult (B mult D)
% Current number of equations to process: 4720
% Current number of ordered equations: 2
% Current number of rules: 258
% New rule produced :
% [298]
% (ld(A,(A mult B) mult (A mult C)) mult D) mult (B mult D) <->
% ((A mult D) mult (B mult D)) mult ((B mult D) mult (C mult D))
% Current number of equations to process: 4720
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [299]
% (((ld(ld(A,C),D) mult B) mult A) mult C) mult (A mult C) ->
% (((A mult B) mult C) mult (A mult C)) mult ((A mult D) mult C)
% Rule
% [233]
% (((ld(ld(A,C),A) mult B) mult A) mult C) mult (A mult C) ->
% (((A mult B) mult C) mult (A mult C)) mult C collapsed.
% Current number of equations to process: 4719
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [300]
% ld((ld(A,B) mult B) mult (B mult C),((A mult C) mult ld(A,B)) mult B) ->
% ld((A mult B) mult B,B)
% Current number of equations to process: 4718
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [301]
% ld(A mult B,(((ld(C,A) mult A) mult B) mult A) mult B) ->
% ld(A mult B,ld((A mult C) mult A,A) mult B) mult B
% Current number of equations to process: 4717
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [302]
% ld(A mult B,((ld(ld(B,A),C) mult A) mult B) mult A) ->
% ld(A mult B,ld(A mult B,(B mult C) mult A)) mult A
% Current number of equations to process: 4715
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [303]
% ld(A mult B,(ld(ld(A,B),C) mult B) mult A) mult A ->
% ld(A mult B,ld(A mult B,(A mult C) mult B) mult A)
% Current number of equations to process: 4714
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [304]
% ((ld(A,B) mult B) mult (ld(A,C) mult B)) mult ld((A mult B) mult B,B) ->
% (ld(A,B) mult C) mult B
% Current number of equations to process: 4712
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [305]
% ld((ld(ld(A,B),C) mult A) mult C,(ld(ld(A,B),C) mult B) mult C) ->
% ld(ld(A,B),C) mult C
% Current number of equations to process: 4711
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [306] ((ld(A,C) mult B) mult C) mult A -> ((A mult B) mult ld(C,A)) mult C
% Rule
% [296]
% ld(A mult B,((ld(A,B) mult C) mult B) mult A) mult A ->
% ld(A mult B,(((A mult C) mult B) mult (A mult B)) mult A) collapsed.
% Current number of equations to process: 4772
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [307]
% ld((A mult B) mult B,(A mult B) mult (B mult C)) mult A <->
% (ld(A mult B,A) mult C) mult (A mult B)
% Current number of equations to process: 4781
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [308]
% (ld(A mult B,A) mult C) mult (A mult B) <->
% ld((A mult B) mult B,(A mult B) mult (B mult C)) mult A
% Current number of equations to process: 4781
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [309]
% ld(A mult B,((A mult C) mult ld(B,A)) mult B) mult A ->
% ld(A mult B,(((A mult C) mult B) mult (A mult B)) mult A)
% Current number of equations to process: 3402
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [310]
% ld(A,ld(A,(((A mult B) mult A) mult (A mult C)) mult ((A mult D) mult A))) ->
% (ld(A,C) mult B) mult D
% Current number of equations to process: 3401
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [311]
% ld(ld(A,B) mult B,(ld(A,B) mult C) mult B) mult A ->
% ld(A,((A mult B) mult (A mult C)) mult ((A mult B) mult A))
% Current number of equations to process: 3740
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [312]
% (ld(ld(A,ld(B,C)),B) mult A) mult B ->
% ld(ld(A,ld(B,C)),B) mult ld(ld(A,ld(B,C)),C)
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [313] ld(ld(A mult B,A),ld(A,ld(A mult B,A))) -> ld(A mult B,B)
% Current number of equations to process: 4755
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [314]
% ld(ld((A mult B) mult B,A mult B),ld(A,B) mult B) -> ld((A mult B) mult B,B)
% Current number of equations to process: 4765
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [315] ld(A,ld(ld(C,A),B) mult C) mult ld(A,C) -> ld(A,B mult C)
% Current number of equations to process: 2619
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [316] ld(ld(A,B mult C) mult ld(A,B),(ld(B,A) mult C) mult B) -> A
% Current number of equations to process: 2625
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [317] ld(A,B) mult ld(A,C) <-> ld(A,ld(B,(A mult B) mult (B mult C)))
% Rule
% [180]
% ld(A mult B,B) mult ld(A mult B,C) <->
% ld(A mult B,ld(B,((A mult B) mult B) mult (B mult C))) collapsed.
% Current number of equations to process: 2659
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [318] ld(A,ld(B,(A mult B) mult (B mult C))) <-> ld(A,B) mult ld(A,C)
% Rule
% [181]
% ld(A mult B,ld(B,((A mult B) mult B) mult (B mult C))) <->
% ld(A mult B,B) mult ld(A mult B,C) collapsed.
% Current number of equations to process: 2659
% Current number of ordered equations: 0
% Current number of rules: 275
% Rule [192]
% ld(A,ld(B,(A mult B) mult (B mult C))) <->
% ld(B,ld(A,B mult C) mult ld(A,B)) is composed into [192]
% ld(A,ld(B,(A mult B) mult
% (B mult C)))
% <->
% ld(A,B) mult ld(A,C)
% New rule produced :
% [319] ld(A,ld(B,A mult C) mult ld(B,A)) -> ld(B,A) mult ld(B,C)
% Rule
% [110]
% ld(A,ld(B,(A mult C) mult A) mult ld(B,A)) -> ld(B,A mult C) mult ld(B,A)
% collapsed.
% Rule
% [191]
% ld(B,ld(A,B mult C) mult ld(A,B)) <-> ld(A,ld(B,(A mult B) mult (B mult C)))
% collapsed.
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 274
% Rule [130]
% (ld(A,B) mult C) mult B <->
% ld(ld(A,B) mult B,(A mult C) mult B) mult ld(ld(A,B) mult B,B) is composed into
% [130]
% (ld(A,B) mult C) mult B <-> ld(ld(ld(A,B),B),(A mult C) mult B) mult ld(A,B)
% Rule [119]
% ld(A mult B,(B mult C) mult A) mult A <->
% ld(A mult B,(A mult C) mult A) mult ld(A mult B,A) is composed into
% [119]
% ld(A mult B,(B mult C) mult A) mult A <->
% ld(ld(B,A),(A mult C) mult A) mult B
% Rule [44]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B) is composed into [44]
% ld(A mult B,
% (A mult C) mult B)
% <->
% ld(ld(A,B),
% B mult C) mult A
% New rule produced :
% [320]
% ld(A mult B,B mult C) mult ld(A mult B,B) -> ld(ld(A,B),B mult C) mult A
% Rule
% [45]
% ld(A mult B,B mult C) mult ld(A mult B,B) <-> ld(A mult B,(A mult C) mult B)
% collapsed.
% Rule
% [109]
% ld(ld(A,B) mult B,(B mult C) mult B) mult ld(ld(A,B) mult B,B) ->
% ld(A,(B mult C) mult B) mult ld(A,B) collapsed.
% Rule
% [112]
% ld(A mult B,ld(A,C) mult B) mult ld(A mult B,B) -> ld(A mult B,B mult C)
% collapsed.
% Rule
% [118]
% ld(ld(A mult B,B mult C) mult ld(A mult B,B),(A mult C) mult B) -> A mult B
% collapsed.
% Rule
% [120]
% ld(A mult B,(A mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,(B mult C) mult A) mult A collapsed.
% Rule
% [123]
% ld(ld(A,B) mult C,A mult C) mult ld(ld(A,B) mult C,C) ->
% ld(ld(A,B) mult C,B mult C) collapsed.
% Rule
% [131]
% ld(ld(A,B) mult B,(A mult C) mult B) mult ld(ld(A,B) mult B,B) <->
% (ld(A,B) mult C) mult B collapsed.
% Rule
% [230]
% ld(A mult C,(ld(A,C) mult B) mult C) mult ld(A mult C,C) -> (A mult B) mult C
% collapsed.
% Rule
% [239]
% ld(A mult B,((A mult B) mult B) mult B) mult ld(A mult B,B) ->
% ld(((A mult B) mult B) mult B,B) collapsed.
% Current number of equations to process: 2973
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [321] ld(ld(A,B),ld(A,C) mult B) mult A -> ld(A mult B,B mult C)
% Current number of equations to process: 2971
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [322] ld(ld(A,C),(ld(A,C) mult B) mult C) mult A -> (A mult B) mult C
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [323] ld(ld(ld(A,B),B mult C) mult A,(A mult C) mult B) -> A mult B
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [324] ld(ld(ld(A,B),C),A mult C) mult ld(A,B) -> ld(ld(A,B) mult C,B mult C)
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [325]
% ld(ld(A,B),((A mult B) mult B) mult B) mult A ->
% ld(((A mult B) mult B) mult B,B)
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [326] ld(A,(A mult C) mult B) mult ld(A,B) <-> (ld(A,B) mult C) mult B
% Current number of equations to process: 2965
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [327] (ld(A,B) mult C) mult B <-> ld(A,(A mult C) mult B) mult ld(A,B)
% Current number of equations to process: 2965
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [328] ld(ld(A,ld(B,A)),ld(A,(B mult C) mult ld(B,A))) -> ld(A,ld(B,A) mult C)
% Current number of equations to process: 2981
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [329] ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A))) -> ld(A,ld(B,A))
% Current number of equations to process: 2980
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [330]
% ld(A,ld(ld(ld(B,A),B),C) mult B) mult ld(A,B) ->
% ld(A,ld(A,B mult C) mult ld(A,B))
% Current number of equations to process: 2979
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [331]
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A))) <-> ld(A,ld(B,A)) mult ld(A,C)
% Current number of equations to process: 3160
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [332]
% ld(A,ld(B,A)) mult ld(A,C) <-> ld(ld(B,A),ld(A,(B mult C) mult ld(B,A)))
% Current number of equations to process: 3160
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [333]
% ld(ld(A mult B,A),ld(A,ld(A mult B,(B mult C) mult A))) -> ld(A mult B,C)
% Current number of equations to process: 3158
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [334]
% ld(ld(A mult B,C),ld(A,ld(A mult B,(B mult C) mult A))) -> ld(A mult B,A)
% Current number of equations to process: 3158
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [335]
% ld(C,((B mult C) mult A) mult A) mult ld(C,A) ->
% ((A mult B) mult A) mult ld((A mult C) mult A,A)
% Rule
% [133]
% ld((ld(A,B) mult C) mult B,ld(A,((A mult C) mult B) mult B) mult ld(A,B)) ->
% B collapsed.
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [336]
% ld(ld(A,B),((A mult B) mult A) mult B) mult A ->
% (ld(A mult B,B) mult B) mult ld(A mult B,B)
% Current number of equations to process: 3301
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [337]
% ld(ld(B,A),((A mult B) mult A) mult B) mult B ->
% (ld(A mult B,B) mult B) mult ld(A mult B,A)
% Current number of equations to process: 3301
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [338]
% ld(A,ld((A mult B) mult B,B)) mult ld(A,B) -> ld(ld(A,B) mult B,B) mult B
% Current number of equations to process: 3388
% Current number of ordered equations: 0
% Current number of rules: 283
% Rule [266]
% ld(A,ld(A,B)) mult ld(A,B) -> ld(ld(A,B),ld(ld(A,B) mult B,ld(A,B))) is composed into
% [266] ld(A,ld(A,B)) mult ld(A,B) -> ld(B,ld(ld(A,B) mult B,B))
% Rule [200]
% ld(ld(A,B) mult B,(A mult B) mult ld(A,B)) ->
% ld(ld(A,B),ld(ld(A,B) mult B,ld(A,B))) is composed into [200]
% ld(ld(A,B) mult B,
% (A mult B) mult
% ld(A,B)) ->
% ld(B,ld(
% ld(A,B) mult B,B))
% New rule produced : [339] ld(A,ld(A mult B,A)) <-> ld(B,ld(A mult B,B))
% Rule [206] ld(A mult B,ld((A mult B) mult A,A mult B)) -> ld(B,A) mult A
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% ld(a,ld(a mult ld(c,ld(c mult b,c)),a)) = ld(c,ld(c mult ld(b,ld(b mult a,b)),c))
%
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [340]
% ld(A,ld(A mult B,(B mult C) mult A)) mult C ->
% ld(A mult B,A mult C) mult ld(A mult B,C)
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [341]
% ld(A,(A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))) -> ld(A,C) mult B
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [342] ld(A mult B,A) mult ld(A mult B,B) -> ld(A,ld(A mult B,A))
% Current number of equations to process: 3446
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [343] ld(A mult B,ld(B,C)) mult ld(A mult B,A) -> ld(A,ld(A mult B,A mult C))
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [344]
% ld(A mult B,A) mult ld(A mult B,C) <-> ld(A,ld(ld(B,A),A mult C) mult B)
% Rule [342] ld(A mult B,A) mult ld(A mult B,B) -> ld(A,ld(A mult B,A))
% collapsed.
% Current number of equations to process: 3513
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [345] ld(A,ld(ld(B,A),A mult B) mult B) -> ld(A,ld(A mult B,A))
% Current number of equations to process: 3512
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [346]
% ld(A,ld(ld(B,A),A mult C) mult B) <-> ld(A mult B,A) mult ld(A mult B,C)
% Current number of equations to process: 3512
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [347] ld(ld(A,B) mult B,A mult C) mult ld(ld(A,B) mult B,B) -> ld(A,B) mult C
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [348]
% ld(A,ld(A,ld(A mult B,(B mult C) mult A))) <->
% ld(A mult B,ld(A,C)) mult ld(A mult B,A)
% Current number of equations to process: 3652
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [349]
% ld(A mult B,ld(A,C)) mult ld(A mult B,A) <->
% ld(A,ld(A,ld(A mult B,(B mult C) mult A)))
% Current number of equations to process: 3652
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [350]
% ld((A mult C) mult C,A mult C) mult ld((A mult C) mult C,B) -> ld(A,B) mult C
% Current number of equations to process: 3651
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [351]
% ld(C,((B mult C) mult A) mult A) mult A ->
% ((A mult B) mult A) mult ld((A mult C) mult A,A mult C)
% Current number of equations to process: 3652
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [352]
% ld(ld(B,A),(A mult C) mult B) mult B <->
% (ld(ld(A,B),B mult C) mult A) mult ld(A mult B,A)
% Current number of equations to process: 3650
% Current number of ordered equations: 3
% Current number of rules: 295
% New rule produced :
% [353]
% ld(ld(A,B),(A mult C) mult B) mult A <->
% (ld(ld(A,B),B mult C) mult A) mult ld(A mult B,B)
% Current number of equations to process: 3650
% Current number of ordered equations: 2
% Current number of rules: 296
% New rule produced :
% [354]
% (ld(ld(A,B),B mult C) mult A) mult ld(A mult B,B) <->
% ld(ld(A,B),(A mult C) mult B) mult A
% Current number of equations to process: 3650
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [355]
% (ld(ld(A,B),B mult C) mult A) mult ld(A mult B,A) <->
% ld(ld(B,A),(A mult C) mult B) mult B
% Current number of equations to process: 3650
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [356]
% ld(ld(B,ld(A,B)),ld((A mult B) mult B,B)) mult B ->
% ld(ld(A,B) mult B,ld(A,B)) mult B
% Current number of equations to process: 3649
% Current number of ordered equations: 0
% Current number of rules: 299
% Rule [137]
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) <->
% ld(A mult B,ld(A,(A mult C) mult (A mult D)) mult B) is composed into
% [137]
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) <->
% ld(ld(A mult B,B),ld(A mult B,((A mult C) mult (A mult D)) mult B))
% Rule [57]
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) <->
% ld(A mult B,ld(A,(A mult C) mult (A mult D)) mult B) is composed into
% [57]
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) <->
% ld(ld(A mult B,B),ld(A mult B,((A mult C) mult (A mult D)) mult B))
% New rule produced :
% [357] ld(A mult B,ld(A,C) mult B) -> ld(ld(A mult B,B),ld(A mult B,B mult C))
% Rule
% [136]
% ld(A mult B,ld(A,(A mult C) mult (A mult D)) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B mult D) collapsed.
% Current number of equations to process: 3661
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [358]
% ld((A mult B) mult A,(A mult B) mult B) <->
% ld(ld((A mult B) mult A,A mult B),(A mult B) mult A)
% Current number of equations to process: 3660
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [359]
% ld(ld((A mult B) mult A,A mult B),(A mult B) mult A) <->
% ld((A mult B) mult A,(A mult B) mult B)
% Current number of equations to process: 3660
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [360] ld(ld(A mult B,B),ld(ld(A,B),B mult C) mult A) -> ld(A mult B,B mult C)
% Current number of equations to process: 3757
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [361]
% ld(ld(ld(A,B) mult B,B),(ld(A,B) mult C) mult B) ->
% ld(ld(A,B) mult B,(A mult C) mult B)
% Current number of equations to process: 3783
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [362]
% ld(ld(A mult B,B),ld(((A mult B) mult B) mult B,B)) ->
% ld(A mult B,((A mult B) mult B) mult B)
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [363]
% ld((ld(A,B) mult C) mult B,((B mult C) mult B) mult ld((A mult B) mult B,B))
% -> B
% Current number of equations to process: 3932
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [364]
% ((A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))) mult A ->
% ((A mult B) mult A) mult (A mult C)
% Current number of equations to process: 3928
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [365]
% ((A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))) mult C ->
% ((A mult B) mult C) mult (A mult C)
% Current number of equations to process: 3928
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [366]
% ld(A,(B mult C) mult ld(B,ld(B mult C,(A mult C) mult B))) ->
% ld(A,B mult C) mult ld(A,B)
% Current number of equations to process: 3927
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [367]
% ld(ld(A mult B,A) mult ld(A mult B,C),ld(A mult B,(B mult C) mult A)) -> A
% Current number of equations to process: 3926
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [368]
% ld(ld(ld(A,B) mult C,C),ld(ld(A,B) mult C,B mult C)) ->
% ld(ld(A,B) mult C,A mult C)
% Current number of equations to process: 3925
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [369]
% ld(ld(A mult B,A),ld(A mult B,(B mult C) mult A) mult A) ->
% ld(A mult B,(A mult C) mult A)
% Current number of equations to process: 3924
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [370]
% ld(ld((A mult B) mult A,(A mult B) mult B),(A mult B) mult A) ->
% ld((A mult B) mult A,A mult B)
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [371] ld(ld(A mult B,B mult C),ld(ld(A,B),B mult C) mult A) -> ld(A mult B,B)
% Current number of equations to process: 4049
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [372] ld(ld(A,B),(A mult B) mult B) mult A -> ld(A mult B,B) mult B
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [373]
% ld(A mult B,(B mult C) mult A) <-> ld(A,ld(ld(B,A),(A mult C) mult A) mult B)
% Rule
% [148]
% ld(ld(A mult B,C) mult A,(ld(A mult B,C) mult B) mult A) ->
% ld(A,ld(ld(A mult B,C) mult A,A mult C)) collapsed.
% Current number of equations to process: 4277
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [374]
% ld(A,ld(ld(B,A),(A mult C) mult A) mult B) <-> ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 4277
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [375]
% ld(ld(A,B) mult C,B mult C) mult C <->
% ld(ld(ld(A,B),C),(A mult C) mult C) mult ld(A,B)
% Current number of equations to process: 4275
% Current number of ordered equations: 2
% Current number of rules: 316
% New rule produced :
% [376]
% ld(ld(ld(B,A),B),(B mult C) mult B) mult ld(B,A) ->
% ld(A,(B mult C) mult B) mult ld(A,B)
% Current number of equations to process: 4275
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [377]
% ld(ld(ld(A,B),C),(A mult C) mult C) mult ld(A,B) <->
% ld(ld(A,B) mult C,B mult C) mult C
% Current number of equations to process: 4275
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [378]
% ld(ld(A,B),ld((A mult B) mult B,(B mult C) mult B)) mult A ->
% ld(A mult B,B mult C) mult B
% Current number of equations to process: 4274
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [379]
% ld(ld(A mult B,(B mult C) mult A),ld(ld(B,A),(A mult C) mult A) mult B) -> A
% Current number of equations to process: 4273
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [380]
% (ld(ld(A,B),(B mult C) mult B) mult A) mult (A mult B) ->
% ((B mult C) mult A) mult B
% Current number of equations to process: 4345
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [381]
% ld(ld(A,B),(((A mult B) mult B) mult B) mult B) mult A ->
% ld(((A mult B) mult B) mult B,B) mult B
% Current number of equations to process: 4573
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [382] ld(ld(A,B) mult ld(A,C),ld(A,B mult C) mult ld(A,B)) -> B
% Rule
% [122]
% ld(ld(A,B mult C) mult ld(A,B),ld(A,(B mult C) mult B) mult ld(A,B)) -> B
% collapsed.
% Current number of equations to process: 4661
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [383]
% ld(A mult B,ld(C,(B mult C) mult (C mult D)) mult A) <->
% ld(A mult B,A mult C) mult ld(A mult B,A mult D)
% Current number of equations to process: 4663
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [384]
% ld(A mult B,A mult C) mult ld(A mult B,A mult D) <->
% ld(A mult B,ld(C,(B mult C) mult (C mult D)) mult A)
% Current number of equations to process: 4663
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [385]
% ld(A,(ld(B,(A mult C) mult A) mult ld(B,A)) mult (ld(B,A) mult A)) ->
% (A mult C) mult ld(B,A)
% Current number of equations to process: 4662
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [386]
% ld(A,(ld(A mult B,A) mult A) mult ld(A mult B,(B mult C) mult A)) ->
% ld(A mult B,A) mult C
% Current number of equations to process: 4661
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [387]
% ld(ld(A,B),ld(C,((A mult C) mult C) mult ((B mult C) mult C))) mult A ->
% ld(A mult B,B) mult C
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [388]
% (A mult B) mult ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,((A mult B) mult A) mult ((A mult B) mult C))
% Current number of equations to process: 4658
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [389]
% ld(A mult B,((A mult B) mult A) mult ((A mult B) mult C)) <->
% (A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))
% Current number of equations to process: 4658
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [390]
% ld(A,ld(A mult B,ld(A mult B,(B mult C) mult A))) <->
% ld(A mult B,ld(ld(B,A),C)) mult ld(A mult B,A)
% Current number of equations to process: 4657
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [391]
% ld(A mult B,ld(ld(B,A),C)) mult ld(A mult B,A) <->
% ld(A,ld(A mult B,ld(A mult B,(B mult C) mult A)))
% Current number of equations to process: 4657
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [392]
% ld(ld(ld(A,B) mult C,A mult C),ld(ld(A,B) mult C,B mult C)) ->
% ld(ld(A,B) mult C,C)
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [393]
% ld(ld(ld(A,B) mult B,(A mult C) mult B),(ld(A,B) mult C) mult B) ->
% ld(ld(A,B) mult B,B)
% Current number of equations to process: 4655
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [394]
% ld(A,ld(A mult B,(B mult C) mult B)) mult ld(A,B) -> ld(A,B mult C) mult B
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [395]
% ld((A mult B) mult C,ld(C,((A mult C) mult C) mult ((B mult C) mult C)) mult D)
% -> D
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [396]
% ((A mult B) mult C) mult ld(C,((A mult C) mult C) mult ((B mult C) mult C))
% -> unit
% Current number of equations to process: 1791
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [397]
% ((B mult C) mult D) mult ld(ld(D,((B mult D) mult D) mult ((C mult D) mult D)),A)
% -> A
% Current number of equations to process: 1790
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [398] ld(C,ld(B mult C,(A mult C) mult B)) mult ld(C,B) -> A mult B
% Current number of equations to process: 3163
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [399] ld(ld(A,B) mult C,ld(A,(A mult C) mult B) mult ld(A,B)) -> B
% Current number of equations to process: 3162
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [400]
% (((ld(A,C) mult B) mult D) mult D) mult ((C mult D) mult D) <->
% ((ld(A,(A mult B) mult C) mult ld(A,C)) mult D) mult D
% Current number of equations to process: 3189
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [401]
% ((ld(A,(A mult B) mult C) mult ld(A,C)) mult D) mult D <->
% (((ld(A,C) mult B) mult D) mult D) mult ((C mult D) mult D)
% Current number of equations to process: 3189
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [402]
% ld(A,((A mult B) mult A) mult ld((A mult C) mult A,A)) <->
% ld(C,(B mult C) mult A) mult ld(C,A)
% Current number of equations to process: 3241
% Current number of ordered equations: 1
% Current number of rules: 342
% New rule produced :
% [403]
% ld(C,(B mult C) mult A) mult ld(C,A) <->
% ld(A,((A mult B) mult A) mult ld((A mult C) mult A,A))
% Current number of equations to process: 3241
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [404]
% ld(ld(A,B),ld(C,B) mult B) mult A <->
% ld(A mult B,ld(C,(A mult C) mult B) mult ld(C,B))
% Current number of equations to process: 3281
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [405]
% ld(A mult B,ld(C,(A mult C) mult B) mult ld(C,B)) <->
% ld(ld(A,B),ld(C,B) mult B) mult A
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [406]
% ld(ld(A,B) mult B,ld(A,(A mult C) mult B) mult ld(A,B)) ->
% ld(A,B mult C) mult ld(A,B)
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [407]
% ((ld(A,C) mult C) mult (B mult C)) mult ((B mult C) mult C) <->
% (ld(A,(A mult B) mult C) mult ld(A,C)) mult (B mult C)
% Current number of equations to process: 3297
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [408]
% (ld(A,(A mult B) mult C) mult ld(A,C)) mult (B mult C) <->
% ((ld(A,C) mult C) mult (B mult C)) mult ((B mult C) mult C)
% Current number of equations to process: 3297
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [409]
% ld(A,(A mult B) mult ld((A mult C) mult A,A)) <->
% (ld(A,B) mult ld(C,A)) mult A
% Rule
% [224]
% ld(A,(A mult B) mult ld(((A mult B) mult A) mult A,A)) ->
% ((A mult B) mult A) mult B collapsed.
% Current number of equations to process: 3316
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [410] (ld(A mult B,A) mult ld(A,B)) mult A -> ((A mult B) mult A) mult B
% Current number of equations to process: 3315
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [411]
% (ld(A,B) mult ld(C,A)) mult A <->
% ld(A,(A mult B) mult ld((A mult C) mult A,A))
% Current number of eqCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------